[
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "006",
"question": "एक मनका द्रव्यमान m बिना घर्षण के क्षैतिज वृत्तीय क्षितिज तल में त्रिज्या 3R है व केंद्र C पर है, इस पर एक प्राकृतिक लंबाई R व बल नियतांक k का एक प्राकृतिक लंबाई R है तथा नियतांक k का एक स्प्रिंग बिंदु O पर जुड़ा हुआ है। मनका को स्थिति A से मुक्त किया जाता है। जब यह स्थिति B पर पहुँचता है तब मनके की गतिज ऊर्जा होगी:",
"options": [
"12 kR²",
"25/2 kR²",
"9/2 kR²",
"8kR²"
],
"answer": 3,
"image_png": "image_UP_CET_2017_6_page4.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "007",
"question": "दोनों संधारित्र में संचित कुल स्थिर विद्युत ऊर्जा है:",
"options": [
"18 μJ",
"9 μJ",
"40.5 μJ",
"13.5 μJ"
],
"answer": 1,
"image_png": "image_UP_CET_2017_7_page4.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "114",
"question": "मानो वक्र का समीकरण का प्रारूप इस छवि में दिखाए गए समीकरण के समान है तब \\( y \\) के पदों में \\( \\frac{d^2 y}{dx^2} \\) होगा :",
"options": [
"\\( 2(1 + y^2)^2 / y^5 \\)",
"\\( 2(1 + y^2) / y^6 \\)",
"\\( -2(1 + y^2) / y^6 \\)",
"\\( -2(1 + y^2) / y^5 \\)"
],
"answer": 3,
"image_png": "image_UP_CET_2017_equation_114.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "115",
"question": "मानो कि इस छवि में दिखाए गए त्रिभुज का क्षेत्रफल \\( 10\\sqrt{3} \\) है। खंड \\( AC \\) तथा \\( AB \\) की लंबाईयाँ क्रमशः 5 तथा 8 है तो कोण \\( A \\) है:",
"options": [
"\\( 45^\\circ \\) या \\( 135^\\circ \\)",
"\\( 30^\\circ \\) या \\( 150^\\circ \\)",
"\\( 90^\\circ \\)",
"\\( 60^\\circ \\) या \\( 120^\\circ \\)"
],
"answer": 3,
"image_png": "image_UP_CET_2017_equation_115.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "116",
"question": "वह कोण जिस पर वक्र \\( y = x^2 \\) तथा वक्र इस छवि में दिखाए गए समीकरण काटते हैं।",
"options": [
"\\( 2 \\tan^{-1} \\frac{2}{41} \\)",
"\\( \\tan^{-1} \\frac{2}{41} \\)",
"\\( \\tan^{-1} 41 \\)",
"\\( \\tan^{-1} \\frac{41}{2} \\)"
],
"answer": 2,
"image_png": "image_UP_CET_2017_equation_116.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "117",
"question": "इस छवि में दिखाए गए फलन का अंतराल \\([0, \\frac{\\pi}{2}]\\) पर अधिकतम मान होगा :",
"options": [
"2",
"\\( \\infty \\)",
"1",
"3"
],
"answer": 2,
"image_png": "image_UP_CET_2017_equation_117.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "118",
"question": "एक समबाहु त्रिभुज के शीर्ष \\( O = (0, 0) \\), \\( A = (a, 11) \\) तथा \\( B = (b, 37) \\) हैं तो \\( a \\) तथा \\( b \\) निम्न सम्बन्ध संतुष्ट करेंगे :",
"options": [
"image_UP_CET_2017_equation_118_choice_0.png",
"image_UP_CET_2017_equation_118_choice_1.png",
"image_UP_CET_2017_equation_118_choice_2.png",
"image_UP_CET_2017_equation_118_choice_3.png"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_118.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "133",
"question": "निम्न समीकरण का व्यापक हल होगा \\[\frac{dy}{dx} = \frac{y^2 - x}{2y(x+1)}:\\]",
"options": [
"image_UP_CET_2017_equation_133_choice_0.png",
"image_UP_CET_2017_equation_133_choice_1.png",
"image_UP_CET_2017_equation_133_choice_2.png",
"image_UP_CET_2017_equation_133_choice_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "134",
"question": "एक कण का विस्थापन इस छवि में दिखाए गए समीकरण के अनुसार है। जब इसका वेग 5m/sec हो जाता है उस क्षण त्वरण कितना होगा?",
"options": [
"8m / sec²",
"3m / sec²",
"7m / sec²",
"10m / sec²"
],
"answer": 3,
"image_png": "image_UP_CET_2017_equation_134.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "135",
"question": "यदि दिए गए समीकरणों के मूल 5p - 4q तथा 5q - 4p हैं, तो उस समीकरण का निर्धारण करें। विवरण के लिए दिए गए समीकरणों का संदर्भ लें।",
"options": [
"image_UP_CET_2017_equation_135_choice_0.png",
"image_UP_CET_2017_equation_135_choice_1.png",
"image_UP_CET_2017_equation_135_choice_2.png",
"image_UP_CET_2017_equation_135_choice_3.png"
],
"answer": 2,
"image_png": "image_UP_CET_2017_equation_135.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "136",
"question": "वह \\( x \\) की परास क्या होगी जिसके लिए छवि में दिखाया गया सूत्र सत्य है?",
"options": [
"image_UP_CET_2017_equation_136_choice_0.png",
"image_UP_CET_2017_equation_136_choice_1.png",
"image_UP_CET_2017_equation_136_choice_2.png",
"image_UP_CET_2017_equation_136_choice_3.png"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_136.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "137",
"question": "उस दीर्घवृत्त का समीकरण क्या होगा जिसकी नाभि बिंदु (-1, 1) है तथा जिसकी निदेशांक सरल रेखा इस छवि में दिखाए गए समीकरण के अनुसार है तथा जिसकी उत्केन्द्रता 1/2 है।",
"options": [
"image_UP_CET_2017_equation_137_choice_0.png",
"image_UP_CET_2017_equation_137_choice_1.png",
"image_UP_CET_2017_equation_137_choice_2.png",
"image_UP_CET_2017_equation_137_choice_3.png"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_137.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "032",
"question": "एक कण के लिए एक विमीय गति लीजिए। यहाँ वेग v तथा समय t के मध्य ग्राफ दर्शाया गया। कौनसा ग्राफ समय t के सापेक्ष विस्थापन x को सबसे उपयुक्त रूप से दर्शाता है ?",
"options": [
"image_UP_CET_2017_option_32_page11.png",
"image_UP_CET_2017_option_32_page11_1.png",
"image_UP_CET_2017_option_32_page11_2.png",
"image_UP_CET_2017_option_32_page11_3.png"
],
"answer": 1,
"image_png": "image_UP_CET_2017_32_page11.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "034",
"question": "दिए गए परिपथ में सेल E का आंतरिक प्रतिरोध r = 2Ω है। प्रतिरोध R का मान क्या होना चाहिए ताकि प्रतिरोध R को प्रदत्त शक्ति अधिकतम हो ?",
"options": [
"1Ω",
"2Ω",
"3Ω",
"5Ω"
],
"answer": 3,
"image_png": "image_UP_CET_2017_34_page11.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "035",
"question": "दो बेलनाकार छड़ें A तथा B की प्रतिरोधकता समान है तथा लम्बाई भी समान है। छड़ A का व्यास छड़ B के व्यास का दुगना है। छड़ A पर वोल्टता का छड़ B पर वोल्टता के साथ अनुपात क्या है ?",
"options": [
"1/4",
"1/2",
"2",
"4"
],
"answer": 0,
"image_png": "image_UP_CET_2017_35_page11.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "020",
"question": "चित्र में वायुमंडलीय दाब P₀ = 1 atm तथा पारे स्तंभ की लम्बाई 9cm है। नली में संलग्न गैस का दाब P क्या होगा ?",
"options": [
"85cm Hg दाब",
"67cm Hg दाब",
"90cm Hg दाब",
"78cm Hg दाब"
],
"answer": 0,
"image_png": "image_UP_CET_2017_20_page8.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "021",
"question": "एक आदर्श गैस का PV आलेख दर्शाया गया है। गैस की प्रारंभिक अवस्था A से अंतिम अवस्था B तक प्रक्रम इस प्रकार है कि प्रारंभिक आयतन व अंतिम आयतन समान है। दिए गए AB प्रक्रम के लिए सही विकल्प चयन करो :",
"options": [
"प्रक्रम समआयातनी है",
"गैस द्वारा कार्य धनात्मक है",
"गैस द्वारा कार्य ऋणात्मक है",
"गैस का ताप लगातार बढ़ता है"
],
"answer": 2,
"image_png": "image_UP_CET_2017_21_page8.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "023",
"question": "समय परिवर्ती क्षैतिज बल (न्यूटन में) F = 8 |sin (4πt)| एक विराम में रखे 2kg के ब्लॉक पर विवशत्मक लगा रहा है। यहाँ ब्लॉक तथा जमीन के मध्य घर्षण गुणांक μ = 0.5 तथा g = 10m/s² है। ब्लॉक की परिणामी गति होगी :",
"options": [
"दायीं तरफ गति करेगा",
"दोलन करेगा",
"विराम में ही रहेगा",
"बायीं तरफ गति करेगा"
],
"answer": 2,
"image_png": "image_UP_CET_2017_23_page9.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "025",
"question": "पतली अर्द्ध वृत्ताकार पट्टी ABC का द्रव्यमान m₁ है तथा व्यास AOC का द्रव्यमान m₂ है। यहाँ व्यास के मध्य बिंदु से अक्ष गुजरता है तथा पट्टी ABC के द्रव्यमान अक्ष के साथव्रत जड़त्व आएगा :",
"options": [
"m₁R² + m₂R²/12",
"m₁R²/2 + m₂R²/3",
"m₁R²/2 + m₂R²/6",
"m₁R² + m₂R²/3"
],
"answer": 3,
"image_png": "image_UP_CET_2017_25_page9.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "027",
"question": "एक गेंद निस्सारत दक्षिणावर्त कोणीय वेग v, यह दायीं तरफ वेग v के साथ दीवार की तरफ गति कर रही है। दीवार से यह प्रत्यास्थ टक्कर करती है तथा बायीं तरफ लौटती है। जमीन व दीवार घर्षणहीन हैं। दीवार के साथ टक्कर के बाद गेंद के कोणीय वेग के बारे में सही कथन चयन करें -",
"options": [
"दक्षिणावर्त होगी",
"वामावर्त होगी",
"यह शून्य हो जाती है",
"कोणीय वेग घटती है"
],
"answer": 0,
"image_png": "image_UP_CET_2017_27_page10.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "029",
"question": "विषमाकार एक लूप PQR में धारा 2A है। एक समान चुंबकीय क्षेत्र (B=2T) का तल के समान्तर है। लूप पर चुंबकीय आघूर्ण है :",
"options": [
"4 Nm",
"16 Nm",
"8 Nm",
"शून्य"
],
"answer": 2,
"image_png": "image_UP_CET_2017_29_page10.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "031",
"question": "स्थायी अवस्था में 3μF संधारित्र पर आवेश होगा:",
"options": [
"54 μC",
"36 μC",
"27 μC",
"18 μC"
],
"answer": 2,
"image_png": "image_UP_CET_2017_31_page10.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "129",
"question": "एक सतत फलन \\( y=f(x) \\) के ग्राफ पर एक बिंदु (जिसका \\( x \\) निर्देशांक \\( x=a \\) है) पर स्पर्श रेखा \\( x \\) अक्ष के साथ \\( \\pi/3 \\) कोण बनाती है तथा एक बिंदु (जिसका \\( x \\) निर्देशांक \\( x=b \\) है) पर खींची गई स्पर्श रेखा \\( x \\) अक्ष के साथ \\( \\pi/4 \\) कोण बनाती है तो इस छवि में दिखाए गए समाकल का मान क्या होगा? (यहाँ \\( f'(x) \\) फलन \\( f \\) का \\( x \\) के साथ प्रथम अवकलज है जो कि सतत है एवं उसी प्रकार \\( f''(x) \\) फलन \\( f \\) का \\( x \\) के साथ द्वितीय अवकलज है)",
"options": [
"$-e^b + \\sqrt{3} e^a$",
"$e^b + \\sqrt{3} e^a$",
"$e^b - \\sqrt{3} e^a$",
"$e^b + \\sqrt{3 e^a}$"
],
"answer": 2,
"image_png": "image_UP_CET_2017_equation_129.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "130",
"question": "निम्नलिखित प्रणाली इस छवि में दिखाए गए समीकरण का हल नहीं होगा यदि",
"options": [
"a ≠ 5, b ≠ 5",
"a = 5, b ≠ 5",
"a = 5, b = 5",
"a ≠ 5, b = 5"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_130.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "131",
"question": "मान लीजिए कि इस छवि में दिखाए गए समीकरण के मूल α, β हैं तो वह समीकरण क्या होगा जिसके मूल -1/α और -1/β हैं?",
"options": [
"image_UP_CET_2017_equation_131_choice_0.png",
"image_UP_CET_2017_equation_131_choice_1.png",
"image_UP_CET_2017_equation_131_choice_2.png",
"image_UP_CET_2017_equation_131_choice_3.png"
],
"answer": 0,
"image_png": "image_UP_CET_2017_equation_131.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "132",
"question": "एक बंद आकृति S, अतिपरवलय इस छवि में दिखाए गए समीकरण तथा सरल रेखा x = a + h; (h > 0, a > 0) द्वारा सीमित है। इस बंद आकृति को x-अक्ष के परितःक्रांत किया जाता है तो इस बंद आकृति के परिमाण के ठोस का आयतन होगा:",
"options": [
"πh^2/2 (3a + h)",
"πh^2 (3a + h)",
"πh^2/6 (3a + h)",
"πh^2/3 (3a + h)"
],
"answer": 3,
"image_png": "image_UP_CET_2017_equation_132.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "110",
"question": "परवलय इस छवि में दिखाए गए की जीव परवलय के बिन्दुओं \\( x_1 = 1, x_2 = 3 \\) को जोड़ती है तो इस जीव के समान्तर परवलय की स्पर्श रेखा का समीकरण होगा :",
"options": [
"\\( 2x - y + \\frac{5}{4} = 0 \\)",
"\\( 2x - y + 2 = 0 \\)",
"\\( 2x - y + 1 = 0 \\)",
"\\( 2x + y + 1 = 0 \\)"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_110.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "111",
"question": "फलन इस छवि में दिखाए गए का नति परिवर्तन बिन्दु होगा :",
"options": [
"\\( \\left( \\frac{1}{2}, \\frac{3}{2} \\right) \\)",
"\\( \\left( \\frac{3}{2}, \\frac{3}{4} \\right) \\)",
"\\( \\left( -\\frac{3}{2}, -\\frac{3}{2} \\right) \\)",
"\\( \\left( 2, \\frac{2}{2} \\right) \\)"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_111.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "112",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान है :",
"options": [
"-1",
"-3",
"-2",
"0"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_112.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "113",
"question": "प्रथम चतुर्थांश के अभ्यन्तरक के साथ इस छवि में दिखाए गए वक्र के कटान बिन्दु पर वक्र के अभिलम्ब का समीकरण क्या होगा?",
"options": [
"\\( 2x - y + 1 = 0 \\)",
"\\( 4x - y + 16 = 0 \\)",
"\\( 4x - y = 16 \\)",
"\\( 2x - y - 1 = 0 \\)"
],
"answer": 3,
"image_png": "image_UP_CET_2017_equation_113.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "009",
"question": "एक ब्लॉक साम्यावस्था बिन्दु x=0 के बारे में सरल आवर्त गति करता है। ब्लॉक के त्वरण को समय के फलन के रूप में ग्राफ दर्शाया गया है। ब्लॉक के बारे में कौनसा कथन सत्य है ?",
"options": [
"t=3s पर गति चाल अधिकतम है।",
"t=4s पर ब्लॉक का साम्यावस्था से विस्थापन अधिकतम है।",
"t=4s पर गति अधिकतम है।",
"t=2s पर चाल न्यूनतम है।"
],
"answer": 2,
"image_png": "image_UP_CET_2017_9_page5.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "010",
"question": "यहाँ दो एकसमान स्प्रिंग हैं प्रत्येक का स्प्रिंग नियतांक k है। यहाँ ब्लॉक का द्रव्यमान m है तथा स्प्रिंग, पुली तथा छड़ें (rods) द्रव्यमानहीन हैं। साम्यावस्था में प्रत्येक स्प्रिंग का विस्तार क्या होगा ?",
"options": [
"mg/k",
"2mg/k",
"mg/2k",
"3mg/4k"
],
"answer": 0,
"image_png": "image_UP_CET_2017_10_page5.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "064",
"question": "निम्न में से कौनसा ग्राफ शून्य कोटि अभिक्रिया [A(g) → B(g)] को प्रदर्शित करता है :",
"options": [
"image_UP_CET_2017_option_64_page17.png",
"image_UP_CET_2017_option_64_page17_1.png",
"image_UP_CET_2017_option_64_page17_2.png",
"image_UP_CET_2017_option_64_page17_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "066",
"question": "Th232 की अर्ध आयु का मान इस छवि में दिखाए गए मान के बराबर है और इससे उत्पन्न पुत्री तत्व Ra238 की अर्ध आयु 7 वर्ष है। Ra238 की कितनी (सबसे समीपतम) मात्रा Th232 की 1gm मात्रा के साथ साम्य में होगी?",
"options": [
"5 × 10^-10 gm",
"5.0 gm",
"1.95 × 10^-9 gm",
"2 × 10^-10 gm"
],
"answer": 0,
"image_png": "image_UP_CET_2017_equation_66.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "067",
"question": "निम्नलिखित में से कौनसा इलेक्ट्रॉन न्यूनतम ऊर्जा रखता है ?",
"options": [
"image_UP_CET_2017_equation_67_choice_0.png",
"image_UP_CET_2017_equation_67_choice_1.png",
"image_UP_CET_2017_equation_67_choice_2.png",
"image_UP_CET_2017_equation_67_choice_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "068",
"question": "निम्न यौगिकों के विभिन्न समावयवियों की संख्या क्रमशः हैं:",
"options": [
"4, 6",
"8, 0",
"6, 6",
"8, 8"
],
"answer": 0,
"image_png": "image_UP_CET_2017_68_page17.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "069",
"question": "निम्न में से कौनसा डैक्रोन का एकलकों है ?",
"options": [
"image_UP_CET_2017_option_69_page17.png",
"image_UP_CET_2017_option_69_page17_1.png",
"image_UP_CET_2017_option_69_page17_2.png",
"image_UP_CET_2017_option_69_page17_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "001",
"question": "एक प्रकाश किरण अपवर्तनांक \\(n_1\\) के माध्यम-I में गति करती हुई दोनों माध्यमों की अंत:संधि पर आपातित होती है तथा अंत:संधि पर पूर्णतया आंतरिक परावर्तित होती है। अब माध्यम-II का अपवर्तनांक \\(n_2\\) का मान घटाया जाता है तो -",
"options": [
"किरण पूर्णतया माध्यम-II में पारगमित होती है।",
"किरण अंत:संधि के पूर्णतया समांतर चलने लगती है।",
"किरण अब भी अंत:संधि पर पूर्णतया आंतरिक परावर्तित होती है।",
"किरण माध्यम-II में पूर्णतया पारगमित केवल तभी होगी जब आपातन कोण बढ़ाया जाता है।"
],
"answer": 2,
"image_png": "image_UP_CET_2017_1_page2.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "086",
"question": "दिए गए अणु में कुल कितने बंध हैं ?",
"options": [
"14σ, 8π",
"18σ, 8π",
"19σ, 4π",
"14σ, 2π"
],
"answer": 2,
"image_png": "image_UP_CET_2017_86_page21.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "087",
"question": "निम्न में से कौनसे अणु प्रकाशिक सक्रिय है ?",
"options": [
"(i) और (ii)",
"(i) और (iii)",
"(ii) और (iii)",
"(i), (ii) और (iii)"
],
"answer": 1,
"image_png": "image_UP_CET_2017_87_page21.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "089",
"question": "नीचे दिए गए यौगिकों में से किन यौगिकों को प्राप्त करने के लिए फ्रिडल क्राफ्ट एसिलेशन का उपयोग किया जा सकता है:",
"options": [
"I, III, IV",
"II, III, IV",
"I, II, IV",
"I, II, III"
],
"answer": 2,
"image_png": "image_UP_CET_2017_89_page21.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "081",
"question": "नीचे दिए गए अणु में निम्न में से कौनसा प्रभाव -NO2 समूह -NH2 समूह पर प्रभावी होगा ?",
"options": [
"केवल -I प्रभाव",
"केवल +M प्रभाव",
"केवल -M प्रभाव",
"दोनों -I और -M प्रभाव"
],
"answer": 0,
"image_png": "image_UP_CET_2017_81_page20.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "083",
"question": "नीचे दी गयी एल्केन का स्वीकार्य नाम बताइये:",
"options": [
"6-एथिल-2-मेथिल-5-प्रोपाइलडेकन",
"5-एथिल-6-मेथिल-2-प्रोपाइलडेकन",
"2-एथिल-6-मेथिल-2-प्रोपाइलडेकन",
"2-एथिल-6-मेथिल-5-प्रोपाइलडेकन"
],
"answer": 0,
"image_png": "image_UP_CET_2017_83_page20.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "085",
"question": "निम्न अभिक्रिया का उत्पाद होगा ?",
"options": [
"बेंजोइक अम्ल",
"बेंजोकिनोन",
"सायक्लोहेक्सेन-1-ओन",
"बेंजोइक सल्फेट"
],
"answer": 1,
"image_png": "image_UP_CET_2017_85_page20.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "003",
"question": "चार उत्तल लेंसों A, B, C तथा D के निकाय पर अक्ष के समानांतर प्रकाश किरण पुंज आपतित होता है। लेंस A, B, C तथा D की फोकस लंबाइयाँ क्रमशः 30cm, 10cm, 30cm तथा 10cm हैं। चित्र में स्थिर दूरी BC=20cm है। लेंस A तथा लेंस D के मध्य दूरी कितनी होनी चाहिए ताकि अपवर्तक के पश्चात किरणें (region) क्षेत्र I, III तथा V में अक्ष के समानांतर हो जाएँ:",
"options": [
"20 cm",
"40 cm",
"100 cm",
"80 cm"
],
"answer": 2,
"image_png": "image_UP_CET_2017_3_page3.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "058",
"question": "सुक्रोज इस छवि में दिखाए गए का 6% विलयन एक अज्ञात कार्बनिक पदार्थ के 3% विलयन के साथ समसाम्यकारी है। अज्ञात कार्बनिक पदार्थ का आणविक भार होगा:",
"options": [
"342",
"684",
"171",
"100"
],
"answer": 2,
"image_png": "image_UP_CET_2017_equation_58.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "063",
"question": "कम दाब और उच्च तापमान पर, वांडर वॉल समीकरण का अंतिम सरलीकृत परिभाषित रूप इस छवि में दिखाए गए समीकरण के रूप में होगा।",
"options": [
"image_UP_CET_2017_equation_63_choice_0.png",
"image_UP_CET_2017_equation_63_choice_1.png",
"image_UP_CET_2017_equation_63_choice_2.png",
"image_UP_CET_2017_equation_63_choice_3.png"
],
"answer": 0,
"image_png": "image_UP_CET_2017_equation_63.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "055",
"question": "निम्न समीकरण में ब्रॉन्स्टेड अम्ल को पहचानें: इस छवि में दिखाए गए समीकरण में।",
"options": [
"OH^-",
"PO4^3-",
"HPO4^2-",
"H2O"
],
"answer": 3,
"image_png": "image_UP_CET_2017_equation_55.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "056",
"question": "ताप 298K पर इस छवि में दिखाए गए pH के एक बफर विलयन को तैयार करने के लिए NH4Cl के कितने ग्राम/भार को 3 लीटर 0.01M NH3 के विलयन में मिलाया जाएगा ? (यहाँ NH3 के लिए Kb = इस छवि में दिखाया गया)",
"options": [
"3.53 gm",
"0.354 gm",
"4.55 gm",
"0.455gm"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_56.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "057",
"question": "अभिक्रिया इस छवि में दिखाए गए समीकरण की विघटन की कोटि (α) साम्यावस्था स्थिरांक Kp में सम्बद्ध है।",
"options": [
"\\(\\sqrt{\\frac{1 + 2K_p}{2}}\\)",
"\\(\\frac{1 + 2K_p}{2}\\)",
"\\(\\frac{2K_p}{1 + 2K_p}\\)",
"\\(\\frac{2\\sqrt{K_p}}{1 + 2\\sqrt{K_p}}\\)"
],
"answer": 3,
"image_png": "image_UP_CET_2017_equation_57.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "094",
"question": "नीचे दिए गए यौगिक में प्रति मोल उपयोग होने वाले ग्रिनार्ड अभिकर्मक के कितने मोल होंगे :",
"options": [
"4",
"2",
"3",
"1"
],
"answer": 0,
"image_png": "image_UP_CET_2017_94_page23.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "097",
"question": "निम्न अभिक्रियाओं के लिए इस छवि में दिखाए गए ΔrG⁰ को ध्यान में रखते हुए लेड (सीसा) और टिन के लिए कौनसी ऑक्सीकरण अवस्था अधिक अभिलाक्षणिक है?",
"options": [
"लेड के लिए +4, टिन के लिए +2",
"लेड के लिए +2, टिन के लिए +4",
"लेड के लिए +4, टिन के लिए +4",
"लेड के लिए +2, टिन के लिए +2"
],
"answer": 3,
"image_png": "image_UP_CET_2017_equation_97.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "100",
"question": "पर्किन संक्षारण अभिक्रिया के लिए निम्न में से कौन क्रियाशील होगा?",
"options": [
"image_UP_CET_2017_option_100_page23.png",
"image_UP_CET_2017_option_100_page23_1.png",
"image_UP_CET_2017_option_100_page23_2.png",
"image_UP_CET_2017_option_100_page23_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "076",
"question": "निम्न अभिक्रिया का नाम क्या है ? (छवि में दिखाए गए अभिक्रिया को देखें)",
"options": [
"हेल वोल्हार्ड अभिक्रिया",
"क्लेमेन्सन अभिक्रिया",
"कैनिजारो अभिक्रिया",
"कोई भी विकल्प नहीं"
],
"answer": 2,
"image_png": "image_UP_CET_2017_equation_76.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "079",
"question": "निम्न में से दो यौगिकों का चयन करें जो कि आयनन के बाद समान कार्बोकैशन बनाएंगे-",
"options": [
"(i),(iii)",
"(ii),(iv)",
"(i),(ii)",
"(ii),(iii)"
],
"answer": 2,
"image_png": "image_UP_CET_2017_79_page19.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "080",
"question": "निम्न यौगिकों की अम्लीय सामर्थ्य का बढ़ता हुआ क्रम है:",
"options": [
"iii < i < iv < ii",
"ii < i < iv < iii",
"i < iii < iv < ii",
"i < iii < ii < iv"
],
"answer": 0,
"image_png": "image_UP_CET_2017_80_page19.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "071",
"question": "निम्न का IUPAC नाम है :",
"options": [
"2, 5 ब्यूटाइल ब्यूटेनल",
"2, 3 डाइ एथाइल ब्यूटेनल",
"2 एथाइल, 3 मिथाइल पेंटनल",
"8 मिथाइल, 2 एथाइल पेंटनल"
],
"answer": 2,
"image_png": "image_UP_CET_2017_71_page18.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "072",
"question": "निम्न में से कौनसी रीमर टीमान अभिक्रिया है ?",
"options": [
"image_UP_CET_2017_option_72_page18.png",
"image_UP_CET_2017_option_72_page18_1.png",
"image_UP_CET_2017_option_72_page18_2.png",
"image_UP_CET_2017_option_72_page18_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "074",
"question": "नीचे कुछ आयनों के युग्म दिए गए हैं, इनमें से किसमें प्रथम आयन दूसरे आयन से अधिक स्थायी है ?",
"options": [
"image_UP_CET_2017_option_74_page18.png",
"image_UP_CET_2017_option_74_page18_1.png",
"image_UP_CET_2017_option_74_page18_2.png",
"image_UP_CET_2017_option_74_page18_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "090",
"question": "नीचे प्रदर्शित यौगिक का व्यवस्थित नाम दीजिये:",
"options": [
"4-ब्यूटिल-1-एथिल-2-मेथिलसाइक्लोहेप्टेन",
"4-ब्यूटिल-2-एथिल-1-मेथिलसाइक्लोहेप्टेन",
"1-ब्यूटिल-4-एथिल-3-मेथिलसाइक्लोहेप्टेन",
"2-ब्यूटिल-4-एथिल-1-मेथिलसाइक्लोहेप्टेन"
],
"answer": 0,
"image_png": "image_UP_CET_2017_90_page22.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "091",
"question": "निम्न संरचना का IUPAC नाम दीजिये:",
"options": [
"3-क्लोरो-2-मेथिलसाइक्लोहेक्सानोल",
"2-मेथिल-5-क्लोरोसाइक्लोहेक्सानोल",
"1-क्लोरो-4-मेथिलसाइक्लोहेक्सानोल",
"5-क्लोरो-2-मेथिलसाइक्लोहेक्सानोल"
],
"answer": 3,
"image_png": "image_UP_CET_2017_91_page22.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "093",
"question": "निम्न में से कौनसे यौगिक के लिए द्विध्रुव आघूर्ण का मान अधिकतम होगा ?",
"options": [
"image_UP_CET_2017_option_93_page22.png",
"image_UP_CET_2017_option_93_page22_1.png",
"image_UP_CET_2017_option_93_page22_2.png",
"image_UP_CET_2017_option_93_page22_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "046",
"question": "एक छोटे विद्युत द्विध्रुव जिसका द्विध्रुव आघूर्ण का परिमाण p है इसकी बिन्दु A से काफी दूर बिन्दु p रखा जाता है। बिन्दु A पर विद्युत विभव है :",
"options": [
"पूर्णतया शून्य",
"k p r²",
"-k p r²",
"k p r"
],
"answer": 2,
"image_png": "image_UP_CET_2017_46_page14.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "047",
"question": "चालक लूप का कुल प्रतिरोध R है। लूप के तल के लम्बवत एकसमान चुंबकीय क्षेत्र B = γt को आरोपित किया जाता है जहाँ γ एक स्थिर है। समय t है। लूप से प्रवाहित धारा होगी :",
"options": [
"(b² + a²)γ R",
"(b² + a²)γt R",
"(b² - a²)γ R",
"(b² - a²)γt R"
],
"answer": 2,
"image_png": "image_UP_CET_2017_47_page14.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "048",
"question": "द्रव्यमान M व त्रिज्या R की एक एकसमान डिस्क इसके केन्द्र C पर एक बिन्दु पर टिकी है। एक बल F को डिस्क के तल पर लगाया जाता है। इस क्षण, डिस्क का कोणीय त्वरण है :",
"options": [
"F 2MR",
"√3 F MR",
"F MR",
"2 F √3 MR"
],
"answer": 2,
"image_png": "image_UP_CET_2017_48_page14.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "049",
"question": "समय t=2 पर कण का वेग शून्य है, तो",
"options": [
"image_UP_CET_2017_equation_49_choice_0.png",
"image_UP_CET_2017_equation_49_choice_1.png",
"image_UP_CET_2017_equation_49_choice_2.png",
"image_UP_CET_2017_equation_49_choice_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "050",
"question": "एक गेंद xy तल में गति करती है व जमीन से टकर से ठीक पूर्व वेग (4 i - 4j) m/s है। टकर के लिए प्रत्यास्थता गुणांक e = 1/2 है। जमीन से टकर के ठीक पश्चात गेंद का वेग क्या होगा ?",
"options": [
"(4 i + 4j) m/s",
"(2 i + 2j) m/s",
"(4 i + 2j) m/s",
"(2 i + 4j) m/s"
],
"answer": 2,
"image_png": "image_UP_CET_2017_50_page14.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "144",
"question": "यदि इस छवि में दिखाए गए अभिव्यक्ति का मान 1 से अधिक हो तो",
"options": [
"image_UP_CET_2017_equation_144_choice_0.png",
"image_UP_CET_2017_equation_144_choice_1.png",
"image_UP_CET_2017_equation_144_choice_2.png",
"image_UP_CET_2017_equation_144_choice_3.png"
],
"answer": 0,
"image_png": "image_UP_CET_2017_equation_144.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "146",
"question": "वह अंतराल क्या होगा जिसमें छवि में दिखाए गए फलन; 0≤x≤2π शुरू से अंत तक बढ़ता है?",
"options": [
"(0, π/4)",
"(5π/3, 2π)",
"(0, π/3)",
"(π/3, 5π/3)"
],
"answer": 3,
"image_png": "image_UP_CET_2017_equation_146.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "147",
"question": "दिए गए विस्तार छवि में दिखाए गए के अनुक्रम में सातवाँ पद व अंत से सातवाँ पद का अनुपात 1/6 है तो x का मान है:",
"options": [
"7",
"5",
"11",
"9"
],
"answer": 3,
"image_png": "image_UP_CET_2017_equation_147.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "149",
"question": "y=x^2 दिया है। x−2, y−4 तो δ का मान क्या होना चाहिए जिससे कि |y−4|≤ε=0.001 अनुसरण होता है:",
"options": [
"image_UP_CET_2017_equation_149_choice_0.png",
"image_UP_CET_2017_equation_149_choice_1.png",
"image_UP_CET_2017_equation_149_choice_2.png",
"image_UP_CET_2017_equation_149_choice_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "150",
"question": "दिया है कि f(0)=0 है तथा इस छवि में दिखाए गए सीमा का मान विद्यमान है माना कि यह L है। यहाँ f′ का x के सन्निकट अवकलज के मान को x→0 पर f′(0) द्वारा प्रदत्त किया जाएगा। L होगा:",
"options": [
"0",
"2f′(0)−6",
"2f′(0)−5",
"f′(0)"
],
"answer": 3,
"image_png": "image_UP_CET_2017_equation_150.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "106",
"question": "छवि में दिखाए गए \\(\\theta_n\\) और \\(L_n\\) के लिए, जब \\(n \\to \\infty\\) तब क्या होता है?",
"options": [
"Both the sequences have limits",
"lim n→∞ θₙ exists but lim n→∞ Lₙ does not exist",
"lim n→∞ θₙ does not exist but lim n→∞ Lₙ exists",
"Both the sequences do not have limits."
],
"answer": 2,
"image_png": "image_UP_CET_2017_equation_106.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "107",
"question": "For what interval of variation of x, the identity arc cos (1−x²/1+x²) = 2arc tanx is true?",
"options": [
"image_UP_CET_2017_equation_107_choice_0.png",
"image_UP_CET_2017_equation_107_choice_1.png",
"image_UP_CET_2017_equation_107_choice_2.png",
"image_UP_CET_2017_equation_107_choice_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "108",
"question": "कर्व y = x³ + x − 2 के उन बिंदुओं को खोजें जहाँ इसके स्पर्श रेखाएँ सीधी रेखा y = 4x − 1 के समानांतर हैं। विवरण के लिए दिए गए समीकरण का संदर्भ लें।",
"options": [
"(1, 0), (−1, −4)",
"(2, 7), (−2, −11)",
"(0, −2), (2/3, 23/27)",
"(−2/3, −23/27), (0, −4)"
],
"answer": 0,
"image_png": "image_UP_CET_2017_equation_108.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "012",
"question": "एक 10gm की गोली 1000 m/s से सीधी ऊपर गति करती हुए विबाध में एक 10 kg ट्रवामक के केन्द्र के रास्ते में द्रारा उसके ट्रवामक में से गुजरती है। गोली सीधे ऊपर की तरफ 400 m/s से ट्रवामक से बाहर निकलती है। जब गोली ट्रवामक से सीधे बाहर निकलती है उस क्षण ट्रवामक का वेग क्या होगा ?",
"options": [
"0.6 m/s",
"1 m/s",
"0.4 m/s",
"1.4 m/s"
],
"answer": 0,
"image_png": "image_UP_CET_2017_12_page6.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "013",
"question": "दो एकसमान गेंद P तथा Q एक ही समान बिन्दु O से ऊर्ध्वाधर क्षेत्र में समान चाल से क्षेत्र के साथ प्रक्षेपण कोण क्रमशः 30° व 60° पर प्रक्षिप्त की जाती है तथा वे सीधे ही स्थल AB पर बिन्दु P' व Q' पर गिरती है। दूरी के सम्बन्ध में कौनसा विकल्प सत्य है ?",
"options": [
"AP' = AQ' क्योंकि उनके प्रक्षेपण कोण पूरक कोण हैं",
"AP' > AQ'",
"AP' < AQ'",
"AP' ≤ AQ'"
],
"answer": 1,
"image_png": "image_UP_CET_2017_13_page6.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "015",
"question": "एक कण के विस्थापन x का t² के साथ ग्राफ बताया गया है। कण का त्वरण है :",
"options": [
"2m/s²",
"4m/s²",
"8m/s²",
"शून्य"
],
"answer": 1,
"image_png": "image_UP_CET_2017_15_page6.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "126",
"question": "इस छवि में दिखाए गए समाकलन का मान है :",
"options": [
"c + 1/a sin⁻¹ a/|x|",
"c - 1/a sin⁻¹ a/|x|",
"c - 1/a cos⁻¹ a/|x|",
"sin⁻¹ a/|x| + c"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_126.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "127",
"question": "एक फलन \\( y \\), सम्बन्ध इस छवि में दिखाए गए द्वारा निर्दिष्ट किया गया है यह फलन निम्न अवकल समीकरण को संतुष्ट करेगा:",
"options": [
"image_UP_CET_2017_equation_127_choice_0.png",
"image_UP_CET_2017_equation_127_choice_1.png",
"image_UP_CET_2017_equation_127_choice_2.png",
"image_UP_CET_2017_equation_127_choice_3.png"
],
"answer": 0,
"image_png": "image_UP_CET_2017_equation_127.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "128",
"question": "मान a तथा b वास्तविक संख्याएँ इस तरह हैं कि इस छवि में दिखाए गए समीकरण के अनुसार तो sin(a + b) का मान क्या होगा?",
"options": [
"1/2√2",
"1/√3",
"√3/2",
"2/√3"
],
"answer": 2,
"image_png": "image_UP_CET_2017_equation_128.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "042",
"question": "एक काल्पनिक एक इलेक्ट्रॉन समापव निकाय के ऊर्जा स्तर इस छवि में दिखाए गए समीकरण के अनुसार है (n = 1, 2, 3,....) है। जब यह प्रथम उत्तेजित अवस्था में मूल स्तर में संक्रमण करता है तब उत्सर्जित फोटोन की तरंगदैर्घ्य लगभग होगी :",
"options": [
"690 Å°",
"1035 Å°",
"1220 Å°",
"3650 Å°"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_42.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "043",
"question": "चित्रानुसार पीएनपी में दिए गए आदर्श पीएन संधि डायोड पर वोल्टता क्या होगी ?",
"options": [
"0V",
"0.7V",
"1V",
"2V"
],
"answer": 3,
"image_png": "image_UP_CET_2017_43_page13.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "045",
"question": "एक प्रयोगकर्ता एक छोटे प्रतिदर्श (sample) को 900K ताप तक गर्म करना चाहता है परन्तु बड़ी वस्तु (object) का उपलब्ध अधिकतम ताप केवल 600K है। क्या प्रयोगकर्ता द्वारा निम्नलिखित बड़ी वस्तु के विकिरण को एक बड़े लेन्स द्वारा प्रतिदर्श पर केन्द्रित कर प्रतिदर्श को 900K ताप किया जा सकता है ?",
"options": [
"हाँ, यदि बड़ी वस्तु का आयतन प्रतिदर्श के आयतन का 1.5 गुणा कर दिया जाए।",
"हाँ, यदि बड़ी वस्तु का समूचा क्षेत्रफल प्रतिदर्श के समूचा क्षेत्रफल के सामने का क्षेत्रफल का कम से कम 1.5 गुणा कर दिया जाए।",
"हाँ, यदि प्रतिदर्श को लेन्स के फोकल बिन्दु पर रखा जाए।",
"यह संभव नहीं है।"
],
"answer": 3,
"image_png": "image_UP_CET_2017_45_page13.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "037",
"question": "द्रव्यमान 1kg, 2kg और 3kg की तीन छोटी गेंदें एक ही तल में हैं और क्रमशः 1m/s, 2 m/s और 3 m/s से विषमगामी गति कर रही हैं। दिए गए क्षण पर बिंदु P के सापेक्ष तीनों गेंदों के नियतांक का कुल कोणीय संवेग है :",
"options": [
"7 kgm²s⁻¹",
"8 kgm²s⁻¹",
"9 kgm²s⁻¹",
"36 kgm²s⁻¹"
],
"answer": 0,
"image_png": "image_UP_CET_2017_37_page12.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "038",
"question": "तीन एक समान प्रतिरोध जिनमें प्रत्येक का प्रतिरोध R है को V वोल्ट के आदर्श सेल से विद्युत् स्रोत जोड़ा जाता है। इन तीन प्रतिरोधों में कुल व्ययित शक्ति होगी:",
"options": [
"2V²/3R",
"3V²/2R",
"V²/R",
"V²/3R"
],
"answer": 0,
"image_png": "image_UP_CET_2017_38_page12.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "039",
"question": "दिए गए तर्क चित्र में यदि F=1, तब इनपुट है:",
"options": [
"A=0, B=0, C=1",
"A=0, B=0, C=0",
"A=0, B=1, C=0",
"A=1, B=1, C=1"
],
"answer": 2,
"image_png": "image_UP_CET_2017_39_page12.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "040",
"question": "दर्शाए अनुसार दो पोलरॉइड A तथा B पर विचार कीजिए। अपध्रुव प्रकाश पोलरॉइड A पर आपातित होता है। अब दोनों पोलरॉइड को एक साथ 180° घुमाया जाता है। इस प्रकार से घुमाया जाता है कि प्रत्येक क्षण दोनों की पारगम अक्ष सदैव एक दूसरे के समानांतर रहती है। घूर्णन के दौरान पोलरॉइड B से पारगमित प्रकाश की तीव्रता :",
"options": [
"लगातार घटती है",
"लगातार बढ़ती है",
"पहले घटती है फिर बढ़ती है",
"समान रहती है"
],
"answer": 3,
"image_png": "image_UP_CET_2017_40_page12.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "120",
"question": "इस छवि में दिखाए गए फलन f(x) का यह फलन होगा:",
"options": [
"image_UP_CET_2017_equation_120_choice_0.png",
"image_UP_CET_2017_equation_120_choice_1.png",
"image_UP_CET_2017_equation_120_choice_2.png",
"image_UP_CET_2017_equation_120_choice_3.png"
],
"answer": 0,
"image_png": "image_UP_CET_2017_equation_120.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "122",
"question": "इस छवि में दिखाए गए समीकरण के बिन्दुओं \\( x_1 = 1 \\) तथा \\( x_2 = 2 \\) पर चरम मान रखता है।",
"options": [
"a = -1/3, b = -1/6",
"a = 2/3, b = -1/6",
"a = -2/3, b = 1/6",
"a = 2/3, b = 1/6"
],
"answer": 2,
"image_png": "image_UP_CET_2017_equation_122.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "016",
"question": "दिए गए LR परिपथ में धारा की वृद्धि को समय t के फलन के रूप में दर्शाया गया है। निम्न में से कौनसा विकल्प परिपथ के लिए काल नियतांक के मान के सबसे नजदीक है ?",
"options": [
"0.4 s",
"0.7 s",
"1 s",
"2.4 s"
],
"answer": 2,
"image_png": "image_UP_CET_2017_16_page7.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "017",
"question": "दो चालक वृत्तीय लूपों की त्रिज्याएँ b तथा a जहाँ b >> a, दोनों के केंद्र समपाती हैं लेकिन दोनों लूपों के तल परस्पर लंबवत हैं। इन लूपों के लिए अन्त:प्रेरकत्व का मान इस छवि में दिखाए गए सूत्र के अनुसार है।",
"options": [
"μ₀πa²/2b",
"μ₀πb²/2a",
"शून्य",
"μ₀πab/2 (a + b)"
],
"answer": 2,
"image_png": "image_UP_CET_2017_equation_17.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "018",
"question": "एक 1kg का ब्लॉक x-अक्ष पर चल रहा है। उस पर बल F लगाया गया है। समय t=2s पर ब्लॉक का वेग -3m/s है। तो समय t=4s पर ब्लॉक की चाल क्या होगी?",
"options": [
"5 m/s",
"8 m/s",
"2 m/s",
"3 m/s"
],
"answer": 3,
"image_png": "image_UP_CET_2017_18_page7.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "101",
"question": "दिए गए फ़ंक्शन \\( y = \\frac{2^x}{1 + 2^x} \\) के व्युत्क्रम को खोजने के लिए, कृपया समीकरण का संदर्भ लें।.",
"options": [
"image_UP_CET_2017_equation_101_choice_0.png",
"image_UP_CET_2017_equation_101_choice_1.png",
"image_UP_CET_2017_equation_101_choice_2.png",
"image_UP_CET_2017_equation_101_choice_3.png"
],
"answer": 0,
"image_png": "image_UP_CET_2017_equation_101.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "102",
"question": "दिए गए फ़ंक्शन के परिभाषा के क्षेत्र को निर्धारित करने के लिए, कृपया समीकरण का संदर्भ लें।.",
"options": [
"\\( -2 \\leq x < 1 \\)",
"\\( x \\geq -2 \\)",
"\\( -3 < x \\leq -2 \\)",
"\\( -2 \\leq x < 0 \\)"
],
"answer": 3,
"image_png": "image_UP_CET_2017_equation_102.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "103",
"question": "दी गई बहु-खंडीय फलन \\( f(x) \\) के लिए, किन A और B के मानों पर यह फलन सभी वास्तविक संख्याओं के लिए निरंतर होगा? विवरण के लिए दिए गए समीकरण का संदर्भ लें।.",
"options": [
"\\( A = 1, B = 1 \\)",
"\\( A = -1, B = 1 \\)",
"\\( A = -1, B = -1 \\)",
"\\( A = 1, B = -1 \\)"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_103.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "104",
"question": "छवि में दिखाए गए \\( f(x) \\) के लिए, यदि \\( a(x) \\) को इस प्रकार चुना जाए कि \\( \\lim_{x \\to 0} |a(x)| = \\infty \\), तो \\( f(x) \\) \\( x = 0 \\) पर सतत है।",
"options": [
"\\( \\frac{1}{x} \\)",
"\\( \\frac{2}{\\pi x} \\)",
"\\( \\frac{1}{x^2} \\)",
"\\( \\frac{2}{\\pi x^2} \\)"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_104.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "138",
"question": "इस छवि में दिखाए गए फलन का माध्य मान अंतराल [0, 2] पर होगा :",
"options": [
"\\( - 2 + \\log_e \\left( \\frac{2}{e^2 - 1} \\right) \\)",
"\\( 2 - \\log_e \\left( \\frac{2}{e^2 + 1} \\right) \\)",
"\\( 2 + \\log_e \\left( \\frac{2}{e^2 + 1} \\right) \\)",
"\\( 2 + \\log_e \\left( \\frac{2}{e^2 - 1} \\right) \\)"
],
"answer": 2,
"image_png": "image_UP_CET_2017_equation_138.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "139",
"question": "अवकल समीकरण इस छवि में दिखाए गए का सामान्य हल होगा :",
"options": [
"\\( \\log_e \\left| \\tan \\frac{y}{4} \\right| = -2 \\sin \\frac{x}{2} + c \\)",
"\\( \\log_e \\left| \\tan \\frac{y}{2} \\right| = -2 \\sin \\frac{x}{2} + c \\)",
"\\( \\log_e \\left| \\tan \\frac{y}{2} \\right| = 2 \\sin \\frac{x}{2} + c \\)",
"\\( \\log_e \\left| \\tan \\frac{y}{2} \\right| = - \\sin \\frac{x}{2} + c \\)"
],
"answer": 0,
"image_png": "image_UP_CET_2017_equation_139.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "141",
"question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार \\( a + ib \\), तब",
"options": [
"\\( a = 1, b = 2 \\)",
"\\( a = 1, b = -1 \\)",
"\\( a = -1, b = 1 \\)",
"\\( a = 1, b = 0 \\)"
],
"answer": 3,
"image_png": "image_UP_CET_2017_equation_141.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "142",
"question": "फलन इस छवि में दिखाए गए का मान क्या है?",
"options": [
"(0, 2) में बढ़ता है",
"(0, 1) में बढ़ता है परंतु (1, 2) में घटता है",
"(0, 2) में घटता है",
"(1, 2) में बढ़ता है परंतु (0, 1) में घटता है"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_142.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2017_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2017-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-26",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "143",
"question": "यदि बिंदु (α, α) रेखाओं इस छवि में दिखाए गए समीकरण के मध्य स्थित है तब सबसे उपयुक्त एक विकल्प चयन करो :",
"options": [
"image_UP_CET_2017_equation_143_choice_0.png",
"image_UP_CET_2017_equation_143_choice_1.png",
"image_UP_CET_2017_equation_143_choice_2.png",
"image_UP_CET_2017_equation_143_choice_3.png"
],
"answer": 1,
"image_png": "image_UP_CET_2017_equation_143.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "002",
"question": "दो बच्चे रमेश (पथ ARB पर) एवं सोहन (पथ ASB पर) एक समान ऊँचाई h से विभिन्न अलग अलग आकृतियों पर नीचे की तरफ फिसलते हैं। यह मानिए कि एक ही समान समय पर वे शून्य वेग के साथ घर्षण रहित फिसलनों पर फिसलना प्रारंभ करते हैं। निम्न में से कौनसा कथन सत्य है-",
"options": [
"रमेश तली पर सोहन से पहले पहुँचता है परन्तु दोनों का औसत वेग समान होगा।",
"रमेश तली पर सोहन से पहले पहुँचता है परन्तु सोहन का औसत त्वरण अधिक होगा।",
"रमेश तली पर सोहन से पहले पहुँचता है परन्तु दोनों का औसत त्वरण समान होगा।",
"दोनों तली पर समान समय पर पहुँचते हैं परन्तु दोनों का औसत त्वरण समान होगा।"
],
"answer": 1,
"image_png": "image_UP_CET_2018_2_page3.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "003",
"question": "एक अव्ययन द्रव की धारा एक बड़े खुले टैंक के आधार पर एक बहुत छोटी निर्गम नली से निकलती है जहाँ पर टैंक की गहराई h है। ट्यूब की जमीन के साथ विनियमित नियत कोण θ है तो धारा की अधिकतम ऊँचाई y होगी -",
"options": [
"h sin²θ",
"h sin 2θ",
"1/2 h sin 2θ",
"h tan²θ"
],
"answer": 2,
"image_png": "image_UP_CET_2018_3_page3.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "030",
"question": "दो ग्रह (प्रत्येक का द्रव्यमान m है) r त्रिज्या के वृत्त में एक स्थिर तारे (जिसका द्रव्यमान M है) के चारों ओर परिभ्रमण करते हैं। दोनों ग्रह हमेशा उस तारे के विपरीत ओर होते हैं अर्थात् व्यासांत: विपरीत ओर हमेशा ग्रहों में दूरी 2r होती है। उन ग्रहों का कक्षीय काल इस छवि में दिखाए गए रूप में होगा तो M' का मान क्या होगा ?",
"options": [
"M - m/2",
"M - m/4",
"M",
"M + m/4"
],
"answer": 1,
"image_png": "image_UP_CET_2018_equation_30.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "136",
"question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार, तो y का मान होगा -",
"options": [
"\\(e^x - e^{-x}\\)",
"\\(e^x + e^{-x}\\)",
"\\(\\frac{e^x + e^{-x}}{2}\\)",
"इनमें से कोई नहीं"
],
"answer": 3,
"image_png": "image_UP_CET_2018_equation_136.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "137",
"question": "उन बिन्दुओं की संख्या जिनकी स्थिति सदिश \\(ai + bj + ck\\) जहाँ a, b, c ∈ {1, 2, 3, 4, 5} है तथा इस छवि में दिखाए गए अभिव्यक्ति 4 से विभाज्य हो; है :-",
"options": [
"140",
"70",
"100",
"150"
],
"answer": 0,
"image_png": "image_UP_CET_2018_equation_137.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "139",
"question": "यदि \\(g(x) = (x^2 + 2x + 3)f(x), f(0) = 5\\) एवं इस छवि में दिखाए गए समीकरण के अनुसार, तो \\(g'(0)\\) बराबर होगा।",
"options": [
"30",
"18",
"20",
"22"
],
"answer": 2,
"image_png": "image_UP_CET_2018_equation_139.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "140",
"question": "अवकल समीकरण \\(\\left(y - x \\frac{dy}{dx}\\right) = a \\left(y^2 + \\frac{dy}{dx}\\right)\\) का हल होगा:",
"options": [
"image_UP_CET_2018_equation_140_choice_0.png",
"image_UP_CET_2018_equation_140_choice_1.png",
"image_UP_CET_2018_equation_140_choice_2.png",
"image_UP_CET_2018_equation_140_choice_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "117",
"question": "यदि सदिश इस छवि में दिखाए गए, \\(i + k\\) और इस छवि में दिखाए गए समतलीय हैं तो",
"options": [
"\\(c^2 = ab\\)",
"\\(b^2 = ac\\)",
"\\(a + c = 2b\\)",
"\\(\\frac{1}{a} + \\frac{1}{c} = \\frac{2}{b}\\)"
],
"answer": 0,
"image_png": "image_UP_CET_2018_equation_117.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "118",
"question": "यदि \\(\\vec{a}, \\vec{b}, \\vec{c}\\) असमतलीय सदिश हैं तब इस छवि में दिखाए गए अभिव्यक्ति का मान है:",
"options": [
"0",
"\\([\\vec{a} \\vec{b} \\vec{c}]^2\\)",
"\\([\\vec{a} \\vec{b} \\vec{c}]\\)",
"\\(2[\\vec{a} \\vec{b} \\vec{c}]\\)"
],
"answer": 1,
"image_png": "image_UP_CET_2018_equation_118.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "119",
"question": "यदि सदिश \\(\\vec{a}\\) के साथ सदिश \\(\\vec{b} = 3\\hat{i} + 6\\hat{j} + 6\\hat{k}\\) एकरेखीय है तथा इस छवि में दिखाए गए समीकरण के अनुसार, तो \\(\\vec{a}\\) होगा:",
"options": [
"\\(3(\\hat{i} + \\hat{j} + \\hat{k})\\)",
"\\(2(\\hat{i} + \\hat{j} + \\hat{k})\\)",
"\\(\\hat{i} + 2\\hat{j} + 2\\hat{k}\\)",
"\\(2\\hat{i} + 3\\hat{j} + 3\\hat{k}\\)"
],
"answer": 2,
"image_png": "image_UP_CET_2018_equation_119.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "120",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान है:",
"options": [
"3/2",
"2/3",
"0",
"इसमें से कोई भी नहीं"
],
"answer": 3,
"image_png": "image_UP_CET_2018_equation_120.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "121",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान है:",
"options": [
"4",
"8",
"2",
"16"
],
"answer": 0,
"image_png": "image_UP_CET_2018_equation_121.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "112",
"question": "यदि त्रिभुज ABC में, इस छवि में दिखाए गए समीकरण के अनुसार, तो त्रिभुज हैं:",
"options": [
"समकोण त्रिभुज",
"समकोणोण सम बाही त्रिभुज",
"समभुज त्रिभुज",
"इनमें से कोई भी नहीं"
],
"answer": 3,
"image_png": "image_UP_CET_2018_equation_112.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "114",
"question": "एक मीनार तीन एक रेखीय बिन्दुओं A, B और C पर अन्तः कोण क्रमशः \\( \\theta \\), \\( 2\\theta \\) और \\( 3\\theta \\) बनाती हैं। तीन बिन्दु तथा मीनार का पाद एक रेखा पर हैं। तब अनुपात इस छवि में दिखाए गए अभिव्यक्ति के बराबर होगा -",
"options": [
"\\( \\frac{\\sin 3\\theta}{\\sin \\theta} \\)",
"\\( \\frac{\\sin \\theta}{\\sin 3\\theta} \\)",
"\\( \\frac{\\cos 3\\theta}{\\cos \\theta} \\)",
"\\( \\frac{\\tan \\theta}{\\tan 3\\theta} \\)"
],
"answer": 1,
"image_png": "image_UP_CET_2018_equation_114.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "026",
"question": "एक जंजीर की लम्बाई L तथा द्रव्यमान m है। इसको एक चिकनी सतह पर रखा जाता है। जंजीर के भाग BA की लम्बाई L - b है। अब जंजीर को मुक्त किया जाता है तथा यह नीचे सरकती है। जंजीर की चाल ज्ञात करो जब इसका सिरा B स्थिति पर पहुँचता है-",
"options": [
"\\(\\sqrt{\\frac{g \\sin \\theta (L^2 - b^2)}{L}}\\)",
"\\(\\sqrt{2g \\sin \\theta (L^2 - b^2)}\\)",
"\\(\\sqrt{2g \\sin \\theta (L - b)}\\)",
"\\(\\sqrt{g \\sin \\theta (L - b)}\\)"
],
"answer": 1,
"image_png": "image_UP_CET_2018_26_page10.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "001",
"question": "एक बहुत लंबी परिनालिका एक तार से बनी है जिसके इकाई लंबाई में घेरों की संख्या n है। इस बेलन की त्रिज्या a है और इसकी लंबाई l की तुलना में नगण्य है। इस बेलन के अंदर इस प्रकार पदार्थ भरा हुआ है कि रैखिक चुंबकीय पारगम्यता इस छवि में दिखाए गए तरीके से परिवर्तित होती है। परिनालिका का स्वप्रेरकत्व होगा -",
"options": [
"πn²l [μ1b² + μ2a²]",
"πn²l [μ1 + μ2] a²",
"πn²l [μ1b² + μ2 (a² - b²)]",
"πn²l [μ1b² + (μ1 + μ2) a²]"
],
"answer": 0,
"image_png": "image_UP_CET_2018_equation_1.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "023",
"question": "दो अनंत लंबी तार पर रेखीय आवेश घनत्व क्रमशः \\(\\lambda\\) तथा -\\(\\lambda\\) है। चित्र में A तथा B के मध्य विभवांतर क्या होगा ? (जहाँ बिंदु A प्रथम तार से a दूरी पर है तथा बिंदु B द्वितीय तार से b दूरी पर है)",
"options": [
"\\(\\frac{\\lambda}{2\\pi\\epsilon_0} \\ln \\left(\\frac{(d-a)(d-b)}{ab}\\right)\\)",
"\\(\\frac{\\lambda}{2\\pi\\epsilon_0} \\ln \\left(\\frac{d^2}{ab}\\right)\\)",
"\\(\\frac{\\lambda}{4\\pi\\epsilon_0} \\ln \\left(\\frac{(d-a)(d-b)}{ab}\\right)\\)",
"\\(\\frac{\\lambda}{2\\pi\\epsilon_0} \\left(\\frac{(d-a)(d-b)}{ab}\\right)\\)"
],
"answer": 2,
"image_png": "image_UP_CET_2018_23_page9.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "024",
"question": "एक आवेशित कण जिसका द्रव्यमान 2 kg तथा आवेश 3 C है यह प्रारंभिक वेग इस छवि में दिखाए गए वेक्टर के साथ विद्युत क्षेत्र \\(12\\hat{i} + 10\\hat{j}\\) में गति करना प्रारंभ करता है। यहाँ सभी इकाइयाँ SI में हैं। समय t = 1 पर इसका वेग होगा –",
"options": [
"\\(16\\hat{i} + 10\\hat{j} + 3\\hat{k}\\)",
"\\(40\\hat{i} + 30\\hat{j} + 3\\hat{k}\\)",
"\\(22\\hat{i} + 15\\hat{j} + 3\\hat{k}\\)",
"\\(22\\hat{i} + 18\\hat{j}\\)"
],
"answer": 3,
"image_png": "image_UP_CET_2018_equation_24.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "009",
"question": "दो सरल आवर्त गति (SHM) निम्न समीकरणों द्वारा प्रदर्शित की जाती हैं - \nx₁ = 20 sin[5πt + π/4] \nx₂ = इस छवि में दिखाए गए समीकरण के अनुसार \nदोनों गतियों के आयामों का अनुपात क्या होगा?",
"options": [
"0.5",
"1",
"0.25",
"√3/2"
],
"answer": 0,
"image_png": "image_UP_CET_2018_equation_9.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "012",
"question": "चार बहुत लंबे तार विन्यास अनुसार इस प्रकार व्यवस्थित हैं इनके द्वारा विन्यासित क्षेत्र (क्षेत्र द्वारा क्षेत्र बनता है) वे इन चारों तार के सिरे विन्यासित जुड़े हैं एवं प्रत्येक तार में प्रवाहित धारा I है। इस प्रकार वर्ग की प्रत्येक भुजा b है। केंद्र बिंदु P (वर्ग के केंद्र) पर चुंबकीय क्षेत्र होगा-",
"options": [
"μ₀I/πb",
"2μ₀I/πb",
"0",
"μ₀I/√2 πb"
],
"answer": 3,
"image_png": "image_UP_CET_2018_12_page5.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "064",
"question": "निम्न में से कौन सा यौगिक मीसो रूप दर्शाता है?",
"options": [
"image_UP_CET_2018_option_64_page17.png",
"image_UP_CET_2018_option_64_page17_1.png",
"image_UP_CET_2018_option_64_page17_2.png",
"image_UP_CET_2018_option_64_page17_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "065",
"question": "निम्न में कौन सा यौगिक इलेक्ट्रोफिलिक योगात्मक अभिक्रिया के लिए सर्वाधिक सक्रिय होगा",
"options": [
"image_UP_CET_2018_option_65_page17.png",
"image_UP_CET_2018_option_65_page17_1.png",
"image_UP_CET_2018_option_65_page17_2.png",
"image_UP_CET_2018_option_65_page17_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "066",
"question": "298 K पर अभिक्रिया के लिए मानक आंतरिक ऊर्जा परिवर्तन क्या होगा?\nOF2(g) + H2O(g) → O2(g) + 2HF(g) ΔH = – 310kJ",
"options": [
"– 312.5 kJ",
"– 125.03 kJ",
"– 310 kJ",
"– 156 kJ"
],
"answer": 1,
"image_png": "image_UP_CET_2018_66_page17.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "067",
"question": "N ≡ C – C ≡ N में कितने σ बन्ध और π बन्ध उपस्थित हैं।",
"options": [
"5 σ + 8 π",
"9 σ + 7 π",
"9 σ + 9 π",
"5 σ + 9 π"
],
"answer": 2,
"image_png": "image_UP_CET_2018_67_page17.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "068",
"question": "निम्न अभिक्रियाओं में कौन सी अभिक्रिया ऑक्सी-अपचयन अभिक्रिया है",
"options": [
"image_UP_CET_2018_option_68_page17.png",
"image_UP_CET_2018_option_68_page17_1.png",
"image_UP_CET_2018_option_68_page17_2.png",
"image_UP_CET_2018_option_68_page17_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "057",
"question": "निम्न में से कौन सा अणु प्रकाशीय सक्रिय है",
"options": [
"image_UP_CET_2018_option_57_page16.png",
"image_UP_CET_2018_option_57_page16_1.png",
"image_UP_CET_2018_option_57_page16_2.png",
"image_UP_CET_2018_option_57_page16_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "005",
"question": "एकल चित्र का विवर्तन प्रतिरूप चित्र में दर्शाया गया है। वह बिंदु कौनसा है जहाँ चरम (ध्रुव) किरणों का पथांतर दो तरंगदैर्घ्य के बराबर है -",
"options": [
"बिंदु 1",
"बिंदु 2",
"बिंदु 4",
"बिंदु 5"
],
"answer": 0,
"image_png": "image_UP_CET_2018_5_page4.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "007",
"question": "सूर्य के प्रकाश का एक प्रिज्म द्वारा गुजरता जाता है एवं पर्दे (Screen) पर स्पेक्ट्रम प्राप्त किया जाता है। बिंदु X पर रखा तापमापी तापमान में बढ़ोतरी बताता है। दिए गए चित्र के लिए निम्न में से कौनसा विकिरण इस ताप वृद्धि को बताता है? सबसे उपयुक्त विकल्प का चयन कीजिए -",
"options": [
"अवरक्त किरणें",
"एक्स किरणें",
"पराबैंगनी किरणें",
"दृश्य प्रकाश"
],
"answer": 2,
"image_png": "image_UP_CET_2018_7_page4.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "018",
"question": "एक छोटी टेनिस गेंद जिसका द्रव्यमान m₂ है यह एक बड़ी बास्केट गेंद जिसका द्रव्यमान m₁ है के ऊपर रखी है। बास्केट गेंद के निचले तल की ऊंचाई h है तथा टेनिस गेंद के निचले तल की जमीन से ऊंचाई (h + d) है। गेंदों को विराम से मुक्त किया जाता है। यहां सभी टक्करे प्रत्यास्थ हैं तथा m₁ >> m₂ है। जमीन से लगभग कितनी ऊंचाई तक टेनिस गेंद उछलेगी?",
"options": [
"d + h",
"d + 2h",
"d + 3h",
"d + 9h"
],
"answer": 1,
"image_png": "image_UP_CET_2018_18_page8.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "019",
"question": "एक दीर्घवृत्त के ऊपरी अर्ध भाग में एक समान धनात्मक आवेश घनत्व (उपरी अर्ध भाग का कुल आवेश +Q) है तथा निचले अर्ध भाग में एक समान ऋणात्मक आवेश घनत्व (निचले अर्ध भाग का कुल आवेश -Q) है जैसा चित्र में अंकित है। दीर्घवृत्त के विद्युत द्विध्रुव आघूर्ण P के परिमाण के बारे में सही कथन चयन कीजिए -",
"options": [
"P = Qb/2",
"0 < P < Qb/2",
"Qb/2 < P < 2Qb",
"2Qb"
],
"answer": 2,
"image_png": "image_UP_CET_2018_19_page8.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "020",
"question": "नीचे दिए गए चित्र को लीजिए। यहाँ प्रतिरोध 4Ω से प्रवाहित धारा होगी",
"options": [
"0.25 A",
"0.50 A",
"0.75 A",
"1.00 A"
],
"answer": 3,
"image_png": "image_UP_CET_2018_20_page8.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "078",
"question": "प्रथम कोटि की अभिक्रिया का वेग इस छवि में दिखाए गए मान के बराबर है यदि अभिकारक की सांद्रता 0.5 M है, अभिक्रिया के अर्ध आयुकाल का मान है।",
"options": [
"0.383 min",
"23.1 min",
"8.73 min",
"7.53 min"
],
"answer": 1,
"image_png": "image_UP_CET_2018_equation_78.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "097",
"question": "निम्न में से कौन सा सर्वाधिक प्रबल अम्ल है",
"options": [
"image_UP_CET_2018_option_97_page23.png",
"image_UP_CET_2018_option_97_page23_1.png",
"image_UP_CET_2018_option_97_page23_2.png",
"image_UP_CET_2018_option_97_page23_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "100",
"question": "निम्न में से कौन सी अभिक्रिया नहीं होगी",
"options": [
"image_UP_CET_2018_option_100_page23.png",
"image_UP_CET_2018_option_100_page23_1.png",
"image_UP_CET_2018_option_100_page23_2.png",
"image_UP_CET_2018_option_100_page23_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "054",
"question": "एक लीटर इस छवि में दिखाए गए अम्लीयकृत विलयन जिसमें 15.8 g उपस्थित है, SO₂ की पर्याप्त मात्रा से विसंवर्द्धित किया गया। यदि SO₂ अयस्क पाइराइट (FeS₂) के भर्जन से उत्पन्न हो रही है तो आवश्यक SO₂ उत्पन्न करने के लिए FeS₂ की कितनी मात्रा होनी चाहिए?",
"options": [
"15.8 g FeS₂",
"15.0 g FeS₂",
"7.5 g FeS₂",
"7.9 g FeS₂"
],
"answer": 1,
"image_png": "image_UP_CET_2018_equation_54.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "055",
"question": "यदि एक इलेक्ट्रॉन H परमाणु के प्रथम बोर कक्ष में इस छवि में दिखाए गए वेग से परिक्रमा कर रहा है तो H परमाणु के तृतीय बोर कक्ष में इलेक्ट्रॉन का वेग क्या होगा?",
"options": [
"2.19 × 10⁸ सेमी से.⁻¹",
"7.3 × 10⁷ सेमी से.⁻¹",
"6.57 × 10⁸ सेमी से.⁻¹",
"1.09 × 10⁸ सेमी से.⁻¹"
],
"answer": 2,
"image_png": "image_UP_CET_2018_equation_55.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "056",
"question": "कोबाल्ट (III) क्लोराइड हेक्साहाइड्रेट और सिल्वर नाइट्रेट से जुड़ी दी गई प्रतिक्रिया में, कितने आयन अवक्षेपित होते हैं? विवरण के लिए दिए गए समीकरण का संदर्भ लें।.",
"options": [
"Mg₂SiO₄",
"Al₂(OH)₄(Si₂O₅)",
"Zr SiO₄",
"Ca₃Si₃O₉"
],
"answer": 3,
"image_png": "image_UP_CET_2018_equation_56.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "016",
"question": "यह मानिए कि एक कण जिसका द्रव्यमान m है वह स्थितिज ऊर्जा इस छवि में दिखाए गए समीकरण के साथ गति कर रहा है। जब यह x = a पर होता है तो इसकी गति v\\(_a\\) होती है जहाँ k, a तथा A स्थिर हैं। कण मूल बिंदु को पार करने में समर्थ होगा यदि -",
"options": [
"image_UP_CET_2018_equation_16_choice_0.png",
"image_UP_CET_2018_equation_16_choice_1.png",
"image_UP_CET_2018_equation_16_choice_2.png",
"image_UP_CET_2018_equation_16_choice_3.png"
],
"answer": 3,
"image_png": "image_UP_CET_2018_equation_16.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "017",
"question": "एक आयताकार तार का लूप जिसकी लंबाई a तथा चौड़ाई b है। यह विन्यासत्मक xy तल में है। लूप के भीतर समय पर निर्भर चुंबकीय क्षेत्र दिया गया है - \\(\\vec{B} = c[(x cos ωt) \\hat{i} + (y sin ωt) \\hat{k}]\\) जहाँ c तथा ω स्थिर हैं। समय के फलन के रूप में लूप में प्रेरित विद्युत वाहक बल का परिमाण होगा -",
"options": [
"\\(\\frac{ab^2c}{2} ω cos ωt\\)",
"\\(\\frac{ab^2cω cos ωt}{|}\\)",
"\\(\\frac{a^2bc}{2} ω sin ωt\\)",
"इनमें से कोई विकल्प नहीं"
],
"answer": 0,
"image_png": "image_UP_CET_2018_17_page7.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "014",
"question": "एक स्थिर स्रोत (source) (चित्र देखें) एक स्थिर दीवार की तरफ आवृत्ति f की ध्वनि तरंग उत्सर्जित करता है। दिए गए क्षण पर दीवार के लंबवत गतिमान प्रेक्षक (observer) जिसकी चाल u है वह आवृत्ति \\(f' = \\frac{11}{8} f\\) मापित करता है तो u का संबंध ध्वनि वेग \\(V_S\\) से सम्बंधित होगा -",
"options": [
"\\(\\frac{3}{4} V_S\\)",
"\\(\\frac{3}{8} V_S\\)",
"\\(\\frac{1}{4} V_S\\)",
"\\(\\frac{1}{3} V_S\\)"
],
"answer": 1,
"image_png": "image_UP_CET_2018_14_page6.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "015",
"question": "अग्र (front) ठोस बेलन का द्रव्यमान \\(\\frac{M}{3}\\) है जबकि पीछे वाले ठोस बेलन का द्रव्यमान \\(\\frac{2M}{3}\\) है। इन बेलनों के केंद्र द्रव्यमान रहित छड़ से विन्यस्त जुड़े हैं। दोनों बेलनों की त्रिज्याएँ R समान हैं। यह निकाय को नत तल पर विराम से मुक्त किया जाता है। बेलन रोटेटिंग गति करते हैं। छड़ की चाल क्या होगी जब निकाय नीचे ऊर्ध्वाधर दूरी h तय करता है",
"options": [
"\\(\\sqrt{\\frac{2gh}{3}}\\)",
"\\(\\sqrt{2gh}\\)",
"\\(\\sqrt{\\frac{4gh}{3}}\\)",
"\\(\\sqrt{\\frac{3gh}{7}}\\)"
],
"answer": 2,
"image_png": "image_UP_CET_2018_15_page6.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "047",
"question": "एक लंबा दृढ़ तार x अक्ष के अनुदिश है तथा इसमें धारा I 10 A प्रवाहित हो रही है। तार के चारों ओर बाह्य चुंबकीय क्षेत्र इस छवि में दिखाए गए अनुसार है जहाँ i और j सदिश हैं। तार के x = 1 m तथा x = 4 m के मध्य भाग पर चुंबकीय बल (SI इकाई में) होगा-",
"options": [
"1260",
"1280/3",
"1310",
"420"
],
"answer": 2,
"image_png": "image_UP_CET_2018_equation_47.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "095",
"question": "अभिक्रिया का उत्पाद (P) है",
"options": [
"image_UP_CET_2018_option_95_page22.png",
"image_UP_CET_2018_option_95_page22_1.png",
"image_UP_CET_2018_option_95_page22_2.png",
"image_UP_CET_2018_option_95_page22_3.png"
],
"answer": 2,
"image_png": "image_UP_CET_2018_95_page22.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "070",
"question": "इस छवि में दिखाए गए अभिक्रिया के लिए 27°C पर ΔG और ΔG° का मान क्या होगा, जिसका K = 102 है?",
"options": [
"image_UP_CET_2018_equation_70_choice_0.png",
"image_UP_CET_2018_equation_70_choice_1.png",
"image_UP_CET_2018_equation_70_choice_2.png",
"image_UP_CET_2018_equation_70_choice_3.png"
],
"answer": 1,
"image_png": "image_UP_CET_2018_equation_70.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "041",
"question": "हाइड्रोजन परमाणु में इलेक्ट्रॉन का कोणीय संवेग इस छवि में दिखाए गए मान के बराबर है। इलेक्ट्रॉन की गतिज ऊर्जा होगी।",
"options": [
"13.6 eV",
"3.4 eV",
"1.51 eV",
"0.85 eV"
],
"answer": 0,
"image_png": "image_UP_CET_2018_equation_41.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "043",
"question": "एक चकती जिसकी त्रिज्या R व द्रव्यमान M है यह स्थिति D पर एक चिकनी ढलान तल पर समायोजित है। यह तल तल से \\(\\theta\\) कोण बनाता है। चकती का केंद्र बिंदु A की ओर चकती के केंद्र आकर्षित होता है। यह मानिए कि आकर्षण बल चकती के केंद्र से बिंदु A की दूरी के समानुपाती होता है अर्थात \\(F = -kr\\) जहाँ r चकती के द्रव्यमान केंद्र से बिंदु A की दूरी है। अब यह, यह बिंदु BD है -",
"options": [
"\\(\\left(\\frac{Mg}{k} - d\\right) \\cos \\theta\\)",
"\\(\\left(\\frac{Mg}{k} - d\\right) \\sin \\theta\\)",
"\\(\\left(\\frac{Mg}{k} + d\\right) \\cos \\theta\\)",
"\\(\\left(\\frac{Mg}{k} - d\\right) \\tan \\theta\\)"
],
"answer": 2,
"image_png": "image_UP_CET_2018_43_page13.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "127",
"question": "यदि α, β, γ समीकरण ax³ + bx² + c = 0 के मूल हैं, तो दिए गए सारणिक का मान क्या होगा? विवरण के लिए दिए गए समीकरण का संदर्भ लें।",
"options": [
"a",
"b",
"0",
"c"
],
"answer": 2,
"image_png": "image_UP_CET_2018_equation_127.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "128",
"question": "यदि a, b, c, किसी गुणोत्तर श्रेणी के क्रमशः p वां, q वां तथा r वां पद हैं तो इस छवि में दिखाए गए सारणिक का मान होगा:",
"options": [
"0",
"1",
"-1",
"इनमें से कोई नहीं"
],
"answer": 3,
"image_png": "image_UP_CET_2018_equation_128.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "129",
"question": "यदि आव्यूह A इस तरह है: इस छवि में दिखाए गए समीकरण के अनुसार, I इकाई आव्यूह है। n ≥ 2 के लिए Aⁿ बराबर होगा:",
"options": [
"nA - (n - 1)I",
"nA - I",
"2ⁿ⁻¹ A - (n - 1)I",
"2ⁿ A - nI"
],
"answer": 0,
"image_png": "image_UP_CET_2018_equation_129.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "130",
"question": "इस छवि में दिखाए गए प्रसार में महत्तम गुणांक है:",
"options": [
"1.3.5....(2n - 1)/n 2ⁿ",
"2n/n n",
"2n/(n/2)²",
"इनमें से कोई भी नहीं"
],
"answer": 1,
"image_png": "image_UP_CET_2018_equation_130.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "106",
"question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार और 0 < x < π/4, तो x का मान होगा,",
"options": [
"π/6",
"π/5",
"π/8",
"π/7"
],
"answer": 1,
"image_png": "image_UP_CET_2018_equation_106.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "107",
"question": "इस छवि में दिखाए गए समीकरण के हलों की संख्या, यदि 0 ≤ x ≤ 2π हैं:",
"options": [
"3",
"4",
"2",
"इनमें से कोई भी नहीं"
],
"answer": 2,
"image_png": "image_UP_CET_2018_equation_107.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "108",
"question": "इस छवि में दिखाए गए समीकरण के वास्तविक मूलों की संख्या क्या है, जब \\(-\\pi/4 \\leq x \\leq \\pi/4\\)?",
"options": [
"4",
"3",
"1",
"2"
],
"answer": 3,
"image_png": "image_UP_CET_2018_equation_108.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "110",
"question": "यदि α, β, γ समीकरण इस छवि में दिखाए गए समीकरण के मूल हैं, एवं w घनमूल है, एवं w³ = 1; तो α - 1/β - 1 + β - 1/γ - 1 + γ - 1/α - 1 का मान है:",
"options": [
"3w²",
"3/w",
"2w²",
"इनमें से कोई भी नहीं"
],
"answer": 1,
"image_png": "image_UP_CET_2018_equation_110.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "150",
"question": "यदि अति परिबल इस छवि में दिखाए गए का ax + by = 1 एक स्पर्श रेखा है तो a² - b² का मान होगा:",
"options": [
"b²e²",
"1/b²e²",
"a²e²",
"1/a²e²"
],
"answer": 1,
"image_png": "image_UP_CET_2018_equation_150.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "141",
"question": "अवकल समीकरण इस छवि में दिखाए गए का हल होगा।",
"options": [
"\\(5 \\tan (5x - 3y) = 4 \\tan (4x + k) + 3\\)",
"\\(5 \\tan (5x + 3y) = 4 \\tan (4x + k) - 3\\)",
"\\(5 \\tan (5x - 3y) = 4 \\tan (4y + k) - 3\\)",
"इनमें से कोई भी नहीं"
],
"answer": 0,
"image_png": "image_UP_CET_2018_equation_141.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "142",
"question": "यदि इस छवि में दिखाए गए अभिव्यक्ति के अनुसार \\(I\\), तो I का मान होगा",
"options": [
"\\(\\frac{\\pi}{2}\\)",
"\\(\\frac{\\pi}{2\\sqrt{2}}\\)",
"\\(\\frac{\\pi}{\\sqrt{3}}\\)",
"\\(\\frac{\\pi}{\\sqrt{2}}\\)"
],
"answer": 1,
"image_png": "image_UP_CET_2018_equation_142.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "143",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान होगा?",
"options": [
"\\(\\pi \\left( \\frac{\\pi}{2} - 1 \\right)\\)",
"\\(\\frac{\\pi}{2} \\left( \\pi - 1 \\right)\\)",
"\\(\\pi (\\pi - 1)\\)",
"\\(\\frac{\\pi}{2} (\\pi + 1)\\)"
],
"answer": 2,
"image_png": "image_UP_CET_2018_equation_143.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "145",
"question": "दीर्घवृत्त का समीकरण, जिसकी नाभि (1, -1), तथा निर्देश x - y - 3 = 0 तथा उत्केन्द्रता इस छवि में दिखाए गए मान के बराबर है, होगा:",
"options": [
"\\(7x^2 + 2xy + 7y^2 + 7 = 0\\)",
"\\(7x^2 + 2xy + 7y^2 - 10x + 10y + 7 = 0\\)",
"\\(7(x^2 + y^2) + 2xy + 10x - 10y - 7 = 0\\)",
"\\(7(x^2 + y^2) + 2xy - 10x - 10y + 7 = 0\\)"
],
"answer": 0,
"image_png": "image_UP_CET_2018_equation_145.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "101",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान होगा,",
"options": [
"√3/4",
"3/4",
"√3/2",
"3/2"
],
"answer": 0,
"image_png": "image_UP_CET_2018_equation_101.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "103",
"question": "यदि इस छवि में दिखाए गए f_n(x) के लिए n = 1, 2, 3, .........., तो f_4(x) - f_6(x) का मान है",
"options": [
"10",
"1/12",
"1/10",
"12"
],
"answer": 2,
"image_png": "image_UP_CET_2018_equation_103.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "104",
"question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार \\( n \\) का मान होगा, तब n का मान होगा?",
"options": [
"22",
"24",
"23",
"12"
],
"answer": 3,
"image_png": "image_UP_CET_2018_equation_104.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "122",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान है (a > 0)",
"options": [
"logₑa",
"1",
"0",
"e"
],
"answer": 1,
"image_png": "image_UP_CET_2018_equation_122.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "124",
"question": "वक्र इस छवि में दिखाए गए के बिंदु (π/4, 0) पर स्पर्श रेखा की प्रवणता होगी:",
"options": [
"2 / (π + 2)",
"1 / (π² + 4)",
"1 / (π + 4)",
"2 / (π² + 4)"
],
"answer": 3,
"image_png": "image_UP_CET_2018_equation_124.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "126",
"question": "यदि छवि में दिखाए गए फलन के उच्चतम/निम्नतम मान x = -1 तथा x = 2 के लिए हैं तो a और b के मान होंगे:",
"options": [
"image_UP_CET_2018_equation_126_choice_0.png",
"image_UP_CET_2018_equation_126_choice_1.png",
"image_UP_CET_2018_equation_126_choice_2.png",
"image_UP_CET_2018_equation_126_choice_3.png"
],
"answer": 1,
"image_png": "image_UP_CET_2018_equation_126.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "037",
"question": "एक ठोस वस्तु एक स्थिर अक्ष के परितः इस छवि में दिखाए गए नियम से घूर्णित होती है। समय t = 0 तथा जब वस्तु विराम में आती है तब समयांतराल के लिए माध्य कोणीय वेग का मान क्या होगा?",
"options": [
"1 rad/s",
"2 rad/s",
"3 rad/s",
"4 rad/s"
],
"answer": 0,
"image_png": "image_UP_CET_2018_equation_37.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2018_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2018-paper-1-pcm-code-aa-question-paper-with-answer-key-pdfs-april-29",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "040",
"question": "दिए गए परिपथ में बिंदुओं A तथा B के मध्य विभवांतर है -",
"options": [
"6.7 V",
"3.7 V",
"4 V",
"10 V"
],
"answer": 3,
"image_png": "image_UP_CET_2018_40_page12.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "071",
"question": "निम्नलिखित अभिक्रिया क्रम में उत्पाद Y होगा।",
"options": [
"image_UP_CET_2019_paper_1_option_71_page17.png",
"image_UP_CET_2019_paper_1_option_71_page17_1.png",
"image_UP_CET_2019_paper_1_option_71_page17_2.png",
"image_UP_CET_2019_paper_1_option_71_page17_3.png"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_1_71_page17.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "003",
"question": "उर्ध्वाधर तल में एक प्रक्षेप्य का पथ इस छवि में दिखाए गए समीकरण के रूप में है जहाँ α और β नियतांक हैं तथा x और y क्रमशः प्रक्षेप्य की क्षैतिज और ऊर्ध्वाधर दूरियाँ हैं। प्रक्षेप्य द्वारा प्राप्त अधिकतम ऊँचाई है:",
"options": [
"α/β",
"α/2β",
"β/α",
"β/2α"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_1_equation_3.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "004",
"question": "नगण्य द्रव्यमान की एक रस्सी m द्रव्यमान की एक क्लैंप हुई चरखी के ऊपर से गुजरे हुए द्रव्यमान M द्रव्यमान की एक वस्तु को सहारा देती है। क्लैंप द्वारा किया गया बल है:",
"options": [
"√(M + m)² + M² g",
"√(M + m)² + m² g",
"√2 Mg",
"√2 mg"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_4_page3.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "005",
"question": "X - Y तल में एक बल के अन्तर्गत गतिशील एक कण का संवेग इस छवि में दिया गया है। बल तथा संवेग के मध्य कोण है:",
"options": [
"0°",
"45°",
"60°",
"90°"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_5.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "084",
"question": "निम्न में से कौन सा अधिक स्थायी है ?",
"options": [
"image_UP_CET_2019_paper_1_option_84_page20.png",
"image_UP_CET_2019_paper_1_option_84_page20_1.png",
"image_UP_CET_2019_paper_1_option_84_page20_2.png",
"image_UP_CET_2019_paper_1_option_84_page20_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "086",
"question": "चलायनवृत्त शांतिक है -",
"options": [
"image_UP_CET_2019_paper_1_option_86_page20.png",
"image_UP_CET_2019_paper_1_option_86_page20_1.png",
"image_UP_CET_2019_paper_1_option_86_page20_2.png",
"image_UP_CET_2019_paper_1_option_86_page20_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "001",
"question": "एक तार का द्रव्यमान, त्रिज्या तथा लम्बाई इस छवि में दिखाए गए हैं। उसके घनत्व मापन में अधिकतम प्रतिशत त्रुटि है:",
"options": [
"1%",
"2%",
"3%",
"4%"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_1.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "066",
"question": "एक अभिक्रियक R अपनी प्रारंभिक सान्द्रता a_0 के साथ अर्धायु (t_1/2) के परिवर्तन की निम्न ग्राफ द्वारा प्रदर्शित करता है, अभिक्रिया की कोटि का मान होगा।",
"options": [
"शून्य",
"एक",
"दो",
"तीन"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_1_66_page16.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "067",
"question": "निम्न में से कौन सा एक अणु के इलेक्ट्रॉनों का उचित विन्यास नहीं है।",
"options": [
"image_UP_CET_2019_paper_1_equation_67_choice_0.png",
"image_UP_CET_2019_paper_1_equation_67_choice_1.png",
"image_UP_CET_2019_paper_1_equation_67_choice_2.png",
"image_UP_CET_2019_paper_1_equation_67_choice_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "114",
"question": "दिया गया है कि इस छवि में दिखाए गए सीमा का मान 2 है, तब \\(|a| + |b|\\) का मान है।",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_114.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "115",
"question": "वक्र इस छवि में दिखाए गए समीकरण की (4, 1) पर स्पर्शरेखा के अक्षों पर अंतःखंड की राशि होगी।",
"options": [
"3",
"5",
"7",
"9"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_115.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "116",
"question": "यदि इस छवि में दिखाए गए फंक्शन \\(f(x)\\) के लिए \\(f'\\) का",
"options": [
"image_UP_CET_2019_paper_1_equation_116_choice_0.png",
"image_UP_CET_2019_paper_1_equation_116_choice_1.png",
"image_UP_CET_2019_paper_1_equation_116_choice_2.png",
"image_UP_CET_2019_paper_1_equation_116_choice_3.png"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_equation_116.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "117",
"question": "यदि छवि में दिखाए गए फंक्शन \\(f(x)\\) सतत (continuous) है, तब \\((a^2 + b^2)\\) का मान है।",
"options": [
"\\(\\frac{1}{2}\\)",
"\\(\\frac{1}{3}\\)",
"\\(\\frac{1}{6}\\)",
"\\(\\frac{1}{9}\\)"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_equation_117.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "118",
"question": "माना कि \\(f\\) एक ऐसा अवकलनीय फंक्शन है कि इस छवि में दिखाए गए समीकरण के अनुसार और \\(f'(x) = 1 + (f(x))^2\\) तब \\(g'(2)\\) का मान है।",
"options": [
"\\(\\frac{1}{17}\\)",
"\\(\\frac{2}{17}\\)",
"\\(\\frac{3}{17}\\)",
"\\(\\frac{4}{17}\\)"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_118.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "131",
"question": "यदि रेखा 3x + 4y = 7 इस छवि में दिखाए गए दीर्घवृत्त के बिंदु P = (x₁, y₁) पर अभिलम्ब (normal) है, तब P की मूल बिंदु (origin) से दूरी है",
"options": [
"12/√319",
"12/√337",
"12/√423",
"12/√527"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_1_equation_131.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "132",
"question": "मान लीजिए p, q, r भिन्न वास्तविक संख्याएँ (distinct real numbers) हैं तथा सदिश (vectors) pi + p²j + (1 + p³)k, qi + q²j + (1 + q³)k और ri + r²j + (1 + r³)k समतलस्थ (coplanar) हैं। तब इस छवि में दिखाए गए pqr के बराबर है।",
"options": [
"2",
"1",
"-1",
"-2"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_1_equation_132.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "134",
"question": "मान लीजिए a̅ = -î + ĵ और b̅ = î + 3ĵ तब इस छवि में दिखाए गए सदिश के बीच का कोण है",
"options": [
"30°",
"45°",
"60°",
"90°"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_1_equation_134.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "135",
"question": "मान लीजिए a̅ और b̅ दो सदिश हैं तथा |a̅| = 13, |b̅| = 19 और इस छवि में दिखाए गए सदिश का मान है। तब |a̅ + b̅| का मान है",
"options": [
"16",
"18",
"20",
"24"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_135.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "031",
"question": "निम्नांकित में कौन-सा एक लम्बे धारावाही चालक के चुंबकीय क्षेत्र B का तार से दूरी r के साथ परिवर्तन प्रदर्शित करता है ?",
"options": [
"image_UP_CET_2019_paper_1_option_31_page9.png",
"image_UP_CET_2019_paper_1_option_31_page9_1.png",
"image_UP_CET_2019_paper_1_option_31_page9_2.png",
"image_UP_CET_2019_paper_1_option_31_page9_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "013",
"question": "एक मोल एक परमाणुक गैस (γ = इस छवि में दिखाए गए) को एक मोल द्विपरमाणुक गैस (γ = इस छवि में दिखाए गए) से मिलाया जाता है। इस मिश्रण के लिए γ का मान है:",
"options": [
"1.40",
"1.50",
"1.53",
"3.0"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_1_equation_13.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "014",
"question": "एक आदर्श एक परमाणुक गैस को दाब-आयतन चक्र में प्रदर्शित चक्र ABCDA के परितः ले जाया जाता है। P-V चक्र के दौरान कुल कार्य है:",
"options": [
"PV",
"2PV",
"PV/2",
"0"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_14_page5.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "008",
"question": "M द्रव्यमान और R त्रिज्या की एक चकती w कोणीय वेग से विद्युतीय एक क्षैतिज तल पर लुढ़कती है। केन्द्र O के सापेक्ष चकती के कोणीय संवेग का परिमाण है:",
"options": [
"\\(\\frac{1}{2}MR^2w\\)",
"\\(\\frac{3}{2}MR^2w\\)",
"\\(MR^2w\\)",
"\\(2MR^2w\\)"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_1_8_page4.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "009",
"question": "एक सरल लोलक का आवर्तकाल T है। यदि इसके निलम्बन बिन्दु को सम्बन्ध इस छवि में दिखाए गए अनुसार, जहाँ λ एक नियतांक है, ऊपर गति कराये तो इसका नया आवर्तकाल T' है:",
"options": [
"T के समान होगा।",
"T के अधिक होगा।",
"T के कम होगा।",
"अनन्त होगा।"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_1_equation_9.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "035",
"question": "भंवर धारायें उत्पन्न होती है जब इस छवि में दिखाए गए मान के बराबर होती है।",
"options": [
"एक धातु को परिवर्ती चुंबकीय क्षेत्र में रखा जाता है।",
"एक धातु को स्थिर चुंबकीय क्षेत्र में रखा जाता है।",
"एक गतिशील कुंडली को चुंबकीय क्षेत्र में रखा जाता है।",
"एक गतिशील कुंडली से धारा प्रवाहित की जाती है।"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_equation_35.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "036",
"question": "कोबाल्ट (III) क्लोराइड हेक्साहाइड्रेट और सिल्वर नाइट्रेट से जुड़ी दी गई प्रतिक्रिया में, कितने आयन अवक्षेपित होते हैं? विवरण के लिए दिए गए समीकरण का संदर्भ लें।",
"options": [
"आवेश संरक्षण के सिद्धांत पर",
"संवेग संरक्षण के सिद्धांत पर",
"द्रव्यमान संरक्षण के सिद्धांत पर",
"ऊर्जा संरक्षण के सिद्धांत पर"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_36.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "127",
"question": "इस छवि में दिखाए गए वृत्त का बिंदु (2, 3) पर अभिलंब वृत्त \\(x^2 + y^2 = 1\\) को बिंदु P और Q पर प्रतिच्छेद करता है। व्यास PQ वाले वृत्त का क्षेत्रफल है",
"options": [
"\\(\\frac{\\pi}{2}\\)",
"\\(\\pi\\)",
"\\(2\\pi\\)",
"\\(\\frac{3\\pi}{2}\\)"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_equation_127.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "128",
"question": "वृत्त \\(x^2 + y^2 - p(x - y) + 1 = 0\\) और \\(p(x^2 + y^2) + x - y = 1\\) के लम्बवत प्रतिच्छेदन के लिए, \\(k/p\\) का मान ज्ञात करने हेतु समीकरण का उपयोग करें।",
"options": [
"\\(\\frac{1}{4}\\)",
"\\(\\frac{1}{2}\\)",
"2",
"4"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_128.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "129",
"question": "परवलय (parabola) इस छवि में दिखाए गए समीकरण की उपयामिक स्पर्श रेखा (common tangent) निर्देशांक अक्षों (coordinate axes) को क्रमशः बिंदु P और Q पर काटती है। तब PQ की लम्बाई है",
"options": [
"\\(2\\sqrt{13}\\)",
"\\(3\\sqrt{13}\\)",
"\\(5\\sqrt{13}\\)",
"\\(6\\sqrt{13}\\)"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_129.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "130",
"question": "दीर्घवृत्त (ellipse) इस छवि में दिखाए गए की बिंदु \\(P(\\sqrt{2}, \\frac{1}{\\sqrt{2}})\\) पर स्पर्श रेखा (tangent) वृत्त (circle) \\(x^2 + y^2 = r^2\\) को बिंदु Q पर स्पर्श करती है। तब PQ की लम्बाई है",
"options": [
"\\(\\frac{1}{\\sqrt{10}}\\)",
"\\(\\frac{3}{\\sqrt{10}}\\)",
"\\(\\frac{7}{\\sqrt{10}}\\)",
"\\(\\frac{11}{\\sqrt{10}}\\)"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_1_equation_130.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "109",
"question": "यदि इस छवि में दिखाए गए निर्धारक का मान 0 है, तब t के मान हैं।",
"options": [
"1, 2, \\(\\frac{1}{2}\\)",
"-1, 2, \\(\\frac{1}{2}\\)",
"1, -2, \\(\\frac{1}{2}\\)",
"1, 2, \\(\\frac{-1}{2}\\)"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_109.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "110",
"question": "मान लीजिए इस छवि में दिखाए गए समीकरण के मूल (roots) समीकरण \\(x^2 + 7x - 2 = 0\\) के मूलों के ऋणात्मक (negatives) हैं, तब α + β का मान है।",
"options": [
"5",
"-5",
"9",
"-9"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_110.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "111",
"question": "यदि इस छवि में दिखाए गए समीकरण के मूल इकाई (unity) से भिन्न होते हैं तो k के सभी संभावित मानों का योग है",
"options": [
"\\(\\frac{11}{5}\\)",
"\\(\\frac{12}{5}\\)",
"\\(\\frac{13}{5}\\)",
"\\(\\frac{14}{5}\\)"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_111.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "112",
"question": "मान लीजिए \\(a_1, a_2, a_3, ...\\) एक समान्तर श्रेणी में हैं जिसका सामान्य अंतर (common difference) अपर्याप्त (nonzero) है। दिया गया है कि इस छवि में दिखाए गए योग का मान 63 है और किसी k के लिए \\(a_k = 7\\) तब k का मान है।",
"options": [
"6",
"7",
"8",
"9"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_1_equation_112.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "143",
"question": "इस छवि में दिखाए गए समीकण के अंतराल \\(\\left[ -\\frac{\\pi}{2}, \\frac{\\pi}{2} \\right]\\) में सभी मूल्यों का योग है।",
"options": [
"\\( -\\frac{\\pi}{5} \\)",
"\\( -\\frac{\\pi}{3} \\)",
"\\( \\frac{\\pi}{4} \\)",
"\\( \\frac{3\\pi}{10} \\)"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_equation_143.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "145",
"question": "समीकरण इस छवि में दिखाए गए का एक हल है।",
"options": [
"1",
"\\( \\frac{1}{3} \\)",
"\\( \\frac{1}{2} \\)",
"\\( \\frac{1}{6} \\)"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_145.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "106",
"question": "समिश्र संख्या इस छवि में दिखाए गए का काल्पनिक भाग (imaginary part) है।",
"options": [
"0",
"\\( \\frac{1}{30} \\)",
"\\( \\frac{1}{31} \\)",
"\\( \\frac{1}{32} \\)"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_106.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "107",
"question": "माना कि \\( x \\) एक \\( n \\times 1 \\) आव्यूह (matrix) है। O तथा I शून्य (zero) तथा तात्त्विक (identity matrix) हैं। परिभाषित करें \\( P = x - \\frac{x^T x}{x^T x} \\) का प्रतिलोम \\( x^T x \\) है। तब निम्न विकल्पों में से कौनसा सदैव सत्य है?",
"options": [
"image_UP_CET_2019_paper_1_equation_107_choice_0.png",
"image_UP_CET_2019_paper_1_equation_107_choice_1.png",
"image_UP_CET_2019_paper_1_equation_107_choice_2.png",
"image_UP_CET_2019_paper_1_equation_107_choice_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "108",
"question": "माना कि \\( P \\) एक \\( 2 \\times 2 \\) ऐसा आव्यूह है ताकि छवि में दिखाए गए समीकरण सत्य हैं। यदि 0 और I क्रमशः 2 कोटि (order) के शून्य आव्यूह (zero matrix) तथा तात्त्विक (identity matrix) हैं, तब निम्न विकल्पों में से कौनसा सत्य है?",
"options": [
"\\( P^8 - P^6 + P^4 + P^2 = 0 \\)",
"\\( P^8 + P^6 - P^4 + P^2 = I \\)",
"\\( P^8 + P^6 + P^4 - P^2 = 2I \\)",
"\\( P^8 - P^6 - P^4 - P^2 = 0 \\)"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_1_equation_108.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "020",
"question": "दो तरंगों इस छवि में दिखाए गए x₁ और x₂ = A cos wt के मध्य कलान्तर है:",
"options": [
"π/2",
"π/3",
"π/6",
"π"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_1_equation_20.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "024",
"question": "क्रमशः वैद्युतवाहक बलों 6V और 3V तथा आन्तरिक प्रतिरोधों 1Ω और 2Ω को दो बैटरियों को चित्रानुसार जोड़ा गया है। A और B के मध्य विभवान्तर है:",
"options": [
"9V",
"5V",
"3V",
"1V"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_1_24_page7.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "051",
"question": "इस छवि में दिखाए गए अभिक्रिया का निम्न में से किसका एक उदाहरण है?",
"options": [
"असमानीकरण अभिक्रिया",
"उदासीनीकरण अभिक्रिया",
"द्विकट अपघटन अभिक्रिया",
"ताप अपघटन अभिक्रिया"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_equation_51.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "052",
"question": "निम्नलिखित तीन अभिक्रियाओं (i), (ii) एवं (iii), के लिये साम्य स्थिरांक दिये गये हैं। इस छवि में दिखाए गए अभिक्रियाओं के लिए निम्न में से कौनसा सम्बन्ध सही है?",
"options": [
"image_UP_CET_2019_paper_1_equation_52_choice_0.png",
"image_UP_CET_2019_paper_1_equation_52_choice_1.png",
"image_UP_CET_2019_paper_1_equation_52_choice_2.png",
"image_UP_CET_2019_paper_1_equation_52_choice_3.png"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_52.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "123",
"question": "y-अक्ष पर केंद्र (center) और त्रिज्या (radius) 4 वाले वृत्तों (circles) के कुल (family) को निरूपित करने वाला अवकल समीकरण (differential equations) है।",
"options": [
"image_UP_CET_2019_paper_1_equation_123_choice_0.png",
"image_UP_CET_2019_paper_1_equation_123_choice_1.png",
"image_UP_CET_2019_paper_1_equation_123_choice_2.png",
"image_UP_CET_2019_paper_1_equation_123_choice_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "124",
"question": "यदि y(x) छवि में दिखाए गए समीकरण और y(0) = 0 को संतुष्ट करता है तो y(1) है",
"options": [
"2/3",
"1",
"4/3",
"5/3"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_equation_124.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "125",
"question": "यदि y(x) छवि में दिखाए गए समीकरण और y(1) = 3/(1 + e) को संतुष्ट करता है तो y(x) का उच्चतम मान है",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_equation_125.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "126",
"question": "इस छवि में दिखाए गए समीकरण का निम्नलिखित में से किसे निरूपित करता है?",
"options": [
"मूल बिंदु (origin) से गुजरने वाली सरल रेखाओं (straight lines) का जोड़",
"लंबवत सरल रेखाओं (perpendicular straight lines) का जोड़",
"समानांतर सरल रेखाओं (parallel straight lines) का जोड़",
"सरल रेखाओं (straight lines), जो मूल बिंदु (origin) से नहीं गुजरती हैं तथा समानांतर और लंबवत भी नहीं हैं, का जोड़"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_126.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "119",
"question": "फलन इस छवि में दिखाए गए और g(x) = 2x^2 के आलेखों से घिरा क्षेत्रफल है।",
"options": [
"121/15",
"124/15",
"128/15",
"131/15"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_1_equation_119.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "120",
"question": "यदि रेखा y = b वक्रों (curves) इस छवि में दिखाए गए वक्रों से घिरे हुए क्षेत्र (region) को समान क्षेत्रफल (area) वाले क्षेत्रों में विभाजित करती है तब b का मान है।",
"options": [
"3√4",
"5√4",
"7√4",
"9√4"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_120.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "121",
"question": "यदि [y] y के बराबर महत्तम पूर्णांक ग्रहण करने वाले फलन को [y] से निरूपित किया गया हो तो इस छवि में दिखाए गए समाकलन का मान है।",
"options": [
"8",
"9",
"10",
"11"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_equation_121.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "122",
"question": "यदि छवि में दिखाए गए J = π/6 से π/3 ∫ 1/√cos.x + √sin.x dx तब π/6 से π/3 ∫ x/√cos.x + √sin.x dx बराबर है",
"options": [
"π/6 J",
"π/3 J",
"π/4 J",
"π J"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_1_equation_122.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "computer concepts",
"category_original_lang": "कंप्यूटर अवधारणाएँ",
"original_question_num": "050",
"question": "चित्र में प्रदर्शित लॉजिक गेटों के संयोजन में, लॉजिक अवस्थाओं की निविष्टियां A = B = 1 तथा C = 0 है, तो लॉजिक अवस्था का निर्गम होगा।",
"options": [
"0",
"1",
"2",
"3"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_1_50_page12.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "016",
"question": "कोबाल्ट (III) क्लोराइड हेक्साहाइड्रेट और सिल्वर नाइट्रेट से जुड़ी दी गई प्रतिक्रिया में, कितने आयन अवक्षेपित होते हैं? विवरण के लिए दिए गए समीकरण का संदर्भ लें।",
"options": [
"1000 K",
"750 K",
"500 K",
"250 K"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_equation_16.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "101",
"question": "यदि परवलय (parabola) इस छवि में दिखाए गए समीकरण के अनुसार एक परवलय y = -1/2 x^2 - 4x + 3 को स्पर्श करता है, तब k का मान है",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_equation_101.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "104",
"question": "दिया है कि z = x + iy एक सम्मिश्र संख्या (complex number) है जो छवि में दिखाए गए समीकरण को संतुष्ट करती है। निम्न में से कौन सा विकल्प ऊपर दी गयी समीकरण को निरूपित करता है?",
"options": [
"image_UP_CET_2019_paper_1_equation_104_choice_0.png",
"image_UP_CET_2019_paper_1_equation_104_choice_1.png",
"image_UP_CET_2019_paper_1_equation_104_choice_2.png",
"image_UP_CET_2019_paper_1_equation_104_choice_3.png"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_equation_104.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "136",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान है?",
"options": [
"20!61 C20",
"21!60 C20",
"20!61 C21",
"21!60 C19"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_1_equation_136.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "137",
"question": "इस छवि में दिखाए गए के प्रसार में 9 वें और 7 वें पदों के गुणांकों का अनुपात 9 : 7 है। तब 4 वें पद का गुणांक है।",
"options": [
"395",
"455",
"530",
"645"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_1_equation_137.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "140",
"question": "माना कि A और B ऐसी दो घटनाएँ हैं ताकि P(Ac) = 0.55, P(B) = 0.36, P(A ∪ B) = 0.60. तब इस छवि में दिखाए गए का मान है",
"options": [
"1/4",
"3/8",
"1/2",
"5/8"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_1_equation_140.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "061",
"question": "सांद्र क्षार (क्षार) व सांद्र अम्ल के अनुश्नप का ग्राफ़ होगा।",
"options": [
"image_UP_CET_2019_paper_1_option_61_page15.png",
"image_UP_CET_2019_paper_1_option_61_page15_1.png",
"image_UP_CET_2019_paper_1_option_61_page15_2.png",
"image_UP_CET_2019_paper_1_option_61_page15_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "064",
"question": "निम्नलिखित संरचना का सही IUPAC नाम निम्न विकल्पों में से कौनसा है",
"options": [
"3 - क्लोरो - 2 मिथाइल साइक्लोहेक्सेनॉल",
"2 - मिथाइल - 5 क्लोरो साइक्लोहेक्सेनॉल",
"1 - क्लोरो - 4 मिथाइल साइक्लोहेक्सेनॉल",
"5 - क्लोरो - 2 मिथाइल साइक्लोहेक्सेनॉल"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_1_64_page15.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "082",
"question": "निम्न में से कौनसा कार्बोनिल यौगिक सर्वाधिक ध्रुवीय होगा?",
"options": [
"image_UP_CET_2019_paper_1_option_82_page19.png",
"image_UP_CET_2019_paper_1_option_82_page19_1.png",
"image_UP_CET_2019_paper_1_option_82_page19_2.png",
"image_UP_CET_2019_paper_1_option_82_page19_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "083",
"question": "अभिक्रिया क्रम में प्राप्त अन्तिम उत्पाद (C) है -",
"options": [
"image_UP_CET_2019_paper_1_option_83_page19.png",
"image_UP_CET_2019_paper_1_option_83_page19_1.png",
"image_UP_CET_2019_paper_1_option_83_page19_2.png",
"image_UP_CET_2019_paper_1_option_83_page19_3.png"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_1_83_page19.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "097",
"question": "जब निम्न पदार्थ का इलेक्ट्रोफिलिक एरोमेटिक प्रतिस्थापन कराया जाता है, मुख्य उत्पाद होगा (E एक इलेक्ट्रोफिलिक समूह है)",
"options": [
"image_UP_CET_2019_paper_1_option_97_page23_1.png",
"image_UP_CET_2019_paper_1_option_97_page23_2.png",
"image_UP_CET_2019_paper_1_option_97_page23_3.png",
"image_UP_CET_2019_paper_1_option_97_page23_4.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "095",
"question": "निम्न अभिक्रिया में 'A' उत्पन्न है।",
"options": [
"image_UP_CET_2019_paper_1_option_95_page22.png",
"image_UP_CET_2019_paper_1_option_95_page22_1.png",
"image_UP_CET_2019_paper_1_option_95_page22_2.png",
"image_UP_CET_2019_paper_1_option_95_page22_3.png"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_1_95_page22.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "076",
"question": "यौगिक C₂H₅ - O C = O का IUPAC नाम है।",
"options": [
"इथॉक्सी - मिथेनोन",
"इथाइल - 2 - मिथाइल प्रोपानोएट",
"इथॉक्सी - प्रोपानोने",
"2 - मिथाइल - इथॉक्सी प्रोपानोने"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_1_76_page18.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "080",
"question": "निम्न में से किस अम्ल की PKa का मान न्यूनतम है।",
"options": [
"image_UP_CET_2019_paper_1_option_80_page18.png",
"image_UP_CET_2019_paper_1_option_80_page18_1.png",
"image_UP_CET_2019_paper_1_option_80_page18_2.png",
"image_UP_CET_2019_paper_1_option_80_page18_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "055",
"question": "H2O, HF और NH3 के क्वथनांकां के घटते क्रम का सही क्रम है",
"options": [
"image_UP_CET_2019_paper_1_equation_55_choice_0.png",
"image_UP_CET_2019_paper_1_equation_55_choice_1.png",
"image_UP_CET_2019_paper_1_equation_55_choice_2.png",
"image_UP_CET_2019_paper_1_equation_55_choice_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "056",
"question": "298 केल्विन ताप पर 2 ग्राम कैल्सियम सल्फेट को घोलने के लिये आवश्यक न्यूनतम पानी का आयतन होगा (CaSO4 के विलेयता गुणांक का मान इस छवि में दिखाया गया है)",
"options": [
"2.45 लीटर",
"4.08 लीटर",
"4.90 लीटर",
"3.00 लीटर"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_1_equation_56.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "057",
"question": "400K पर निम्नलिखित अभिक्रिया का सही साम्य स्थिरांक का मान निम्न में क्या होगा यदि ΔH° का मान 77.5 kJ mol−1 है तथा ΔS° का मान 135 JK−1mol−1 है? (अभिक्रिया के लिए छवि देखें)",
"options": [
"8.545 × 10−4",
"8.545 × 10−2",
"8.314",
"135"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_1_equation_57.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-1-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "060",
"question": "निम्न में से कौन से ऑक्साइड कार्बन द्वारा अपचयित होंगे। इस छवि में दिखाए गए ऑक्साइड्स को देखें।",
"options": [
"Al2O3, PbO और CaO",
"ZnO, Fe2O3 और PbO",
"Fe2O3, MgO और Al2O3",
"MgO, CaO और Al2O3"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_1_equation_60.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "073",
"question": "दिखाई गई टाइल्स के उचित प्रयोग का स्थान",
"options": [
"बाथरूम",
"लाउंज",
"पेवमेंट",
"सड़क"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_73_page22.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "075",
"question": "मंदिर पहचानिये",
"options": [
"केदारनाथ मंदिर",
"कैलाश मंदिर",
"लिंगराज मंदिर",
"शोर मंदिर"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_75_page22.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "059",
"question": "वह आकृति पहचानिये जो खाली स्थान पर ठीक बैठेगी।",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_59_page18.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "060",
"question": "नीचे दिया चित्र किस की वास्तुविदीय चिन्ह है।",
"options": [
"दरवाजा",
"खिड़की",
"अलमारी",
"दीवाल"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_60_page18.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "047",
"question": "24.5 मीटर ऊँची मीनार की चोटी से एक गेंद को इस छवि में दिखाए गए वेग से ऊपर की ओर (vertically) फेंका गया। उसे पृथ्वी तक पहुँचने में लगने वाला समय है (मान लें g = 9.8 m/s^2)",
"options": [
"4 seconds",
"5 seconds",
"10 seconds",
"12 seconds"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_equation_47.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "051",
"question": "चित्रित वस्तु की सतहों की गिनती बताएं।",
"options": [
"10",
"13",
"15",
"14"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_51_page15.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "052",
"question": "चित्र 'X' में दिए गये टुकड़ों से दिए चित्रों में से क्या बनाया जा सकता है।",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_52_page15.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "053",
"question": "'D' के स्थान पर कौन सा चित्र ठीक रहेगा।",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_53_page15.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "063",
"question": "चित्र में दिखाई 3D आकृति की सही 2D आकृति पहचानिये",
"options": [
"image_UP_CET_2019_paper_3_option_63_page19.png",
"image_UP_CET_2019_paper_3_option_63_page19_1.png",
"image_UP_CET_2019_paper_3_option_63_page19_2.png",
"image_UP_CET_2019_paper_3_option_63_page19_3.png"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_63_page19.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "064",
"question": "चित्र में दिया गया पुल पहचानिये",
"options": [
"हवाई झुला",
"भारत का महान पुल",
"लंदन पुल",
"बांद्रा वर्ली पुल"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_64_page19.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "076",
"question": "यदि एक कागज को छेदित लाइनों पर मोड़ा जाये और दिखाए चित्र के अनुसार बिंद्रित किया जाए तो वह खुलने पर कैसा लगेगा।",
"options": [
"a",
"b",
"c",
"d"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_76_page23.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "078",
"question": "नीचे दिए भवन को पहचानिये",
"options": [
"बेसिलिका बोम जीसस, गोवा",
"सेंट कैथेड्रल गोवा",
"सेंट एलोयसियस चैपल मंग्लोर",
"ज्यू संग्रहालय कोचीन"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_78_page23.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "091",
"question": "चित्र के प्रतीक चिन्ह को पहचानिये।",
"options": [
"डेनोन",
"स्टार बक",
"लीगो",
"मित्सुबिशी"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_91_page28.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "092",
"question": "खाली के लिये सही नम्बर का चयन करें।",
"options": [
"190",
"221",
"236",
"255"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_92_page28.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "020",
"question": "यदि \\( y \\in R \\) से कम या \\( y \\) के बराबर महत्तम पूर्णांक ग्रहण करने वाले फलन को \\([y]\\) से निरूपित किया गया हो तो इस छवि में दिखाए गए समाकलन (integral) का मान है।",
"options": [
"5 + √3 - √2",
"5 - √3 + √2",
"5 + √3 + √2",
"5 - √3 - √2"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_equation_20.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "021",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान क्या है?",
"options": [
"π/2",
"π",
"0",
"1"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_equation_21.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "022",
"question": "यदि इस छवि में दिखाए गए J का मान है, तब ∫ x e^cosx dx है।",
"options": [
"π/3 J",
"2π/3 J",
"5π/3 J",
"πJ"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_equation_22.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "023",
"question": "यदि अवकल समीकरण इस छवि में दिखाए गए समीकरण का हल परवलय का कुल (family of parabola) जिनका शीर्ष (0,0) और केंद्र x - अक्ष पर हो को निरूपित करता है, तब k का मान है",
"options": [
"0",
"1",
"2",
"3"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_equation_23.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "079",
"question": "नीचे दिए गए वास्तुकार को क्या पुरस्कार मिला",
"options": [
"नोबेल पुरस्कार",
"ऑस्कर पुरस्कार",
"प्रित्ज़कर पुरस्कार",
"स्टर्लिंग पुरस्कार"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_79_page24.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "080",
"question": "चित्र की तिरछी सतहों की संख्या पहचानिये।",
"options": [
"4",
"3",
"6",
"7"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_80_page24.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "083",
"question": "उत्तर के चित्र में दिये गए चित्रों से कौनसा चित्र सवाल के चित्र में नहीं लगाया जा सकता है?",
"options": [
"a",
"b",
"c",
"d"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_83_page25.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "084",
"question": "निम्न चित्र तीर की ओर से कैसा दिखेगा",
"options": [
"a",
"b",
"c",
"d"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_84_page25.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "017",
"question": "यदि छवि में दिखाए गए फन्क्शन (function) f(x) संतत (continuous) है, तब f(c) का मान है।",
"options": [
"2",
"3",
"4",
"5"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_equation_17.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "018",
"question": "यदि यह ज्ञात है कि इस छवि में दिखाए गए समीकरण के अनुसार, तब f'' (1) का मान है।",
"options": [
"1/4",
"1/8",
"1/12",
"1/16"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_equation_18.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "019",
"question": "वक्रों इस छवि में दिखाए गए से घिरा क्षेत्रफल (area) है।",
"options": [
"31/3",
"32/3",
"34/3",
"35/3"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_equation_19.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "042",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान है।",
"options": [
"tan2A",
"tan4A",
"cot2A",
"cot4A"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_equation_42.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "043",
"question": "समीकरण इस छवि में दिखाए गए के अंतराल [−π/2, π/2] में सभी मूल्यों का योग है।",
"options": [
"2π/3",
"π/2",
"π/6",
"0"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_equation_43.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "044",
"question": "यदि एक त्रिभुज ABC की भुजाएं a, b, c समान्तर श्रेणी में हैं तब",
"options": [
"image_UP_CET_2019_paper_3_equation_44_choice_0.png",
"image_UP_CET_2019_paper_3_equation_44_choice_1.png",
"image_UP_CET_2019_paper_3_equation_44_choice_2.png",
"image_UP_CET_2019_paper_3_equation_44_choice_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "drawing aptitude",
"category_original_lang": "चित्रकला योग्यता",
"original_question_num": "093",
"question": "तीर की ऊपर से कौन सा चित्र सही है",
"options": [
"a",
"b",
"c",
"d"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_93_page29_1.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "095",
"question": "चिन्ह क्या दर्शाता है",
"options": [
"पत्थर",
"लकड़ी",
"ईंट",
"प्लास्टिक"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_95_page29.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "031",
"question": "इस छवि में दिखाए गए अतिपरवलय की जीव जिसका मध्यबिंदु (5, 3) है, का लंबवत द्विभाजक (perpendicular bisector) है।",
"options": [
"image_UP_CET_2019_paper_3_equation_31_choice_0.png",
"image_UP_CET_2019_paper_3_equation_31_choice_1.png",
"image_UP_CET_2019_paper_3_equation_31_choice_2.png",
"image_UP_CET_2019_paper_3_equation_31_choice_3.png"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_equation_31.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "032",
"question": "यदि \\(\\vec{a} = 3\\hat{i} + m\\hat{j} - \\hat{k}\\) और \\(\\vec{b} = 2\\hat{i} + \\hat{j} + n\\hat{k}\\) लम्बवत (orthogonal) हैं तथा इस छवि में दिखाए गए समीकरण के अनुसार तब 6(m + n) बराबर है।",
"options": [
"3",
"5",
"6",
"12"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_equation_32.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "033",
"question": "माना कि \\(\\vec{a} = 4\\hat{i} - 8\\hat{j} + \\hat{k}\\), \\(\\vec{b} = 2\\hat{i} + \\hat{j} - 2\\hat{k}\\) और \\(\\vec{c} = 3\\hat{i} - 4\\hat{j} + 12\\hat{k}\\)। तब इस छवि में दिखाए गए मान की गणना करें।",
"options": [
"250",
"300",
"400",
"500"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_equation_33.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "034",
"question": "माना कि \\(\\vec{c}\\) एक एकक सदिश (unit vector) है जो इस छवि में दिखाए गए \\(\\vec{a}\\) और \\(\\vec{b} = 2\\hat{i} - 2\\hat{j} + 4\\hat{k}\\) पर लम्बवत है। तब \\(\\vec{c}\\) और \\(\\frac{\\hat{i} + \\hat{j} - \\hat{k}}{\\sqrt{3}}\\) के बीच का कोण है",
"options": [
"\\(\\sin^{-1}\\left(\\frac{1}{3}\\right)\\)",
"\\(\\cos^{-1}\\left(\\frac{1}{3}\\right)\\)",
"\\(\\cos^{-1}\\left(\\frac{2}{3}\\right)\\)",
"\\(\\cos^{-1}\\left(\\frac{3}{4}\\right)\\)"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_equation_34.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "027",
"question": "मूल बिंदु से होकर गुजरने वाला एक वृत्त (circle) C, छवि में दिखाए गए दो वृत्तों को लम्बवत (orthogonally) काटता है। तब C का क्षेत्रफल है",
"options": [
"\\(\\frac{475}{36} \\pi\\)",
"\\(\\frac{617}{36} \\pi\\)",
"\\(\\frac{905}{36} \\pi\\)",
"\\(\\frac{955}{36} \\pi\\)"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_equation_27.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "028",
"question": "वृत्त \\(x^2 + y^2 = 2x\\) और \\(x^2 + y^2 = 2y\\) के प्रतिच्छेद बिंदु से होकर गुजरने वाले वृत्त C के संदर्भ में, त्रिज्या ज्ञात करने के लिए दिए गए समीकरण का उपयोग करें।.",
"options": [
"\\(\\frac{\\sqrt{5}}{2}\\)",
"\\(\\frac{\\sqrt{7}}{2}\\)",
"\\(\\frac{\\sqrt{11}}{2}\\)",
"\\(\\frac{\\sqrt{13}}{2}\\)"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_equation_28.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "029",
"question": "परवलय इस छवि में दिखाए गए समीकरण के बिंदु \\(P = (1, -8)\\) और \\(Q = (4, 16)\\) पर अभिलम्ब, R पर प्रतिच्छेद करते हैं। R के निर्देशांक हैं।",
"options": [
"\\((3.5, \\frac{1}{2})\\)",
"\\((25, 1)\\)",
"\\((15, 3)\\)",
"\\((5, 4)\\)"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_equation_29.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "030",
"question": "यदि रेखा \\(y = x + c\\) इस छवि में दिखाए गए दीर्घवृत्त को स्पर्श करती है, तब c का मान है।",
"options": [
"\\(\\pm \\frac{\\sqrt{5}}{6}\\)",
"\\(\\pm \\frac{\\sqrt{4}}{5}\\)",
"\\(\\pm \\frac{\\sqrt{3}}{4}\\)",
"\\(\\pm \\frac{\\sqrt{2}}{3}\\)"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_equation_30.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "085",
"question": "निम्न चित्र के क्रम में कौन-सा चित्र आएगा",
"options": [
"a",
"b",
"c",
"d"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_85_page26.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "087",
"question": "निम्न चित्र तीर की ओर से कैसा दिखेगा?",
"options": [
"a",
"b",
"c",
"d"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_87_page26.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "012",
"question": "मान लीजिए कि a₁, a₂, a₃, .... एक समान्तर श्रेणी में हैं जिसका सामान्य अंतर (common difference) शून्य से भिन्न (nonzero) है। दिया गया है कि इस छवि में दिखाए गए योग का मान 66 है और किसी k के लिए aₖ = 8 तब k का मान है।",
"options": [
"8",
"9",
"10",
"11"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_equation_12.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "014",
"question": "दिया गया है कि इस छवि में दिखाए गए समीकरण के अनुसार a + b का मान है।",
"options": [
"0",
"1",
"2",
"3"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_equation_14.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "015",
"question": "वक्र \\(\\sqrt{x} + \\sqrt{y} = 2\\sqrt{3}\\) की (3,3) पर स्पर्शरेखा के अक्षों पर अंतःखंड का योग क्या है? विवरण के लिए दिए गए समीकरण का संदर्भ लें।",
"options": [
"4",
"8",
"12",
"16"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_equation_15.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "drawing aptitude",
"category_original_lang": "चित्रकला योग्यता",
"original_question_num": "098",
"question": "दिखाए पहलुओं से कौनसी आकृति बनेगी।",
"options": [
"image_UP_CET_2019_paper_3_option_98_page30.png",
"image_UP_CET_2019_paper_3_option_98_page30_1.png",
"image_UP_CET_2019_paper_3_option_98_page30_2.png",
"image_UP_CET_2019_paper_3_option_98_page30_3.png"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_98_page30.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "099",
"question": "चित्र में दर्शाए ऊँचे भवन का नाम क्या है?",
"options": [
"द घेरकिन",
"ताइपेई 101",
"क्रिसलर भवन",
"स्पेस नीडल"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_99_page30.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "008",
"question": "यदि रैखिक समीकरणों के निकाय (system of linear equations) इस छवि में दिखाए गए समीकरण के अनंत हल (infinitely many solutions) हैं, तो t के सम्भावित मान (possible values) हैं।",
"options": [
"0, –1",
"0, 1",
"1, 2",
"1, –2"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_equation_8.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "010",
"question": "इस छवि में दिखाए गए समीकरण के वास्तविक मान (real solutions) की संख्या है।",
"options": [
"0",
"1",
"2",
"3"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_equation_10.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "011",
"question": "समीकरण इस छवि में दिखाए गए का एक मूल (root) किस समीकरण का भी एक मूल है?",
"options": [
"\\( 2x^2 - x - 1 = 0 \\)",
"\\( x^2 - 3x + 2 = 0 \\)",
"\\( 2x^2 + 5x - 2 = 0 \\)",
"\\( 2x^2 + 3x - 1 = 0 \\)"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_equation_11.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "100",
"question": "कौन सा चित्र दिखाए चित्र का सही प्रतिबिंब है?",
"options": [
"image_UP_CET_2019_paper_3_option_100_page31.png",
"image_UP_CET_2019_paper_3_option_100_page31_1.png",
"image_UP_CET_2019_paper_3_option_100_page31_2.png",
"image_UP_CET_2019_paper_3_option_100_page31_3.png"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_100_page31.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "089",
"question": "निम्न भवन को पहचानिये।",
"options": [
"अकबर का मकबरा",
"बीबी का मकबरा",
"ताजमहल",
"जहांगीर का मकबरा"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_89_page27.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "090",
"question": "चित्र के कोने पहचानिये",
"options": [
"3",
"5",
"7",
"6"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_90_page27.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "024",
"question": "अवकल समीकरण इस छवि में दिखाए गए समीकरण का हल उस वक्रों के कुल (family of curves) को निरूपित करता है जिनका समीकरण दी जाती है।",
"options": [
"\\( x^2 + (y - k)^2 = k^2 \\)",
"\\( x^2 + k^2 = k^2 \\)",
"\\( (x - k)^2 + (y - k)^2 = k^2 \\)",
"\\( (x - k)^2 + y^2 = k^2 \\)"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_equation_24.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "025",
"question": "एक वक्र इस तरह खींचा जाता है कि एक बिंदु P(x, y) पर जिसकी ढाल इस छवि में दिखाए गए के बराबर है। तब वक्र किस कुल को निरूपित करता है?",
"options": [
"वृत्त (circles)",
"परवलय (parabolas)",
"दीर्घवृत्त (ellipses)",
"अतिपरवलय (hyperbolas)"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_equation_25.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "026",
"question": "सरल रेखाओं (pairs of straight lines) के दो जोड़े इस छवि में दिखाए गए समीकरण और \\( 3x^2 - 13xy + 4y^2 = 0 \\) निरूपित करते हैं।",
"options": [
"मूल बिंदु से गुजरने वाली चार अलग-अलग रेखाएं",
"एक सामान्य रेखा (common line) तथा दो अन्य एक दूसरे के समानांतर रेखाएं (parallel lines)",
"एक सामान्य रेखा तथा दो अन्य एक दूसरे से लंबवत रेखाएं (perpendicular lines)",
"एक सामान्य रेखा तथा दो अन्य रेखाएं एक दूसरे से 60° के कोण पर"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_equation_26.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "035",
"question": "यदि सदिश (vectors) 𝑎⃗ = 𝑥(𝑖 + 2𝑗 + 3𝑘) और 𝑏⃗ = 𝑥(−3𝑖 − 2𝑗 + 𝑘) द्वारा निर्धारित समांतर चतुर्भुज (parallelogram) का क्षेत्रफल इस छवि में दिखाए गए अनुसार है तब |𝑥| का मान है।",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_equation_35.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "036",
"question": "यदि इस छवि में दिखाए गए प्रसार के पदों के गुणांकों का योग 2048 है तब 7 वें और 3 वें पदों के गुणांकों का अंतर (difference) है",
"options": [
"407",
"398",
"315",
"276"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_equation_36.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "037",
"question": "यदि इस छवि में दिखाए गए व्यंजक के प्रसार में 𝑥3 का गुणांक 𝑇1 और (1 + 𝑥 + 𝑥2/2! + ... + 𝑥100/100!)3 के प्रसार में 𝑥4 का गुणांक 𝑇2 है, तब 𝑇1/𝑇2 है।",
"options": [
"(3/4)4",
"(4/3)4",
"(4/3)3",
"(3/4)3"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_equation_37.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "066",
"question": "निम्न चित्र में सबसे अलग आकृति को पहचानिये।",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_66_page20.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "003",
"question": "यदि \\( x = 2 + \\sqrt{3} \\) तब इस छवि में दिखाए गए अभिव्यक्ति का मान है।",
"options": [
"\\( 2\\sqrt{6} \\)",
"\\( \\sqrt{6} \\)",
"\\( 2\\sqrt{2} \\)",
"\\( \\sqrt{2} \\)"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_equation_3.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "004",
"question": "माना कि \\( z_1 = 1 + 2i, z_2 = \\frac{1 - i}{2}, z_3 = -2 + i \\), तब इस छवि में दिखाए गए अभिव्यक्ति का वास्तविक भाग (real part) है।",
"options": [
"\\( \\frac{7}{50} \\)",
"\\( \\frac{9}{50} \\)",
"\\( \\frac{11}{50} \\)",
"\\( \\frac{13}{50} \\)"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_equation_4.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "005",
"question": "समिश्र संख्या (complex number) \\( z \\), जो इस छवि में दिखाए गए समीकरण को संतुष्ट करती है, का वास्तविक और काल्पनिक भागों का योग है।",
"options": [
"\\( \\frac{2}{3} \\)",
"\\( -\\frac{2}{3} \\)",
"0",
"1"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_equation_5.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "006",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मानफल (modulus) है।",
"options": [
"1",
"\\( \\sqrt{3} \\)",
"\\( \\sqrt{5} \\)",
"\\( \\sqrt{7} \\)"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_equation_6.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "007",
"question": "माना कि \\( n \\times n \\) आव्यूह (matrix) \\( P, Q \\) हैं। माना कि \\( O \\) और \\( I \\) क्रमशः शून्य आव्यूह (zero matrix) तथा तत्समक (identity matrix) हैं। माना कि इस छवि में दिखाए गए समीकरण तब निम्न विकल्पों में से कौन सा सदैव सत्य है?",
"options": [
"image_UP_CET_2019_paper_3_equation_7_choice_0.png",
"image_UP_CET_2019_paper_3_equation_7_choice_1.png",
"image_UP_CET_2019_paper_3_equation_7_choice_2.png",
"image_UP_CET_2019_paper_3_equation_7_choice_3.png"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_equation_7.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "054",
"question": "चित्र में दिए किले को पहचानिये।",
"options": [
"जोधपुर किला",
"ग्वालियर किला",
"लाल किला",
"आमेर किला"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_54_page16.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "055",
"question": "चित्र में दिए विश्व प्रसिद्ध स्मारक को पहचानिये",
"options": [
"कोलोसियम",
"मिलान कैथेड्रल",
"केसल हावर्ड",
"नोटर डेम"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_3_55_page16.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "056",
"question": "चित्र में दिए प्रसिद्ध वास्तुविद का नाम बताइये।",
"options": [
"चाल्र्स कोरिया",
"अनन्त राजे",
"बी वी जोशी",
"हसमुख पटेल"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_3_56_page17.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "057",
"question": "चित्र 'X' में दी गई आकृति का किस अतिरिक्त आकृति में प्रयोग किया गया है।",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_57_page17.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "001",
"question": "रेखा \\( y = \\frac{1}{2} x - \\frac{5}{2} \\) और इस छवि में दिखाए गए परवलय के प्रतिच्छेद बिन्दुओं के बीच की दूरी है।",
"options": [
"√5",
"2√5",
"3√5",
"4√5"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_equation_1.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "070",
"question": "चित्र में दिये भवन को पहचानिये।",
"options": [
"सिडनी ओपेरा भवन",
"बहाई पूजा भवन",
"गोगेनहाइम संग्रहालय",
"कार्नाक का मंदिर"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_3_70_page21.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-3-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "072",
"question": "मंदिर को पहचानिये",
"options": [
"बृहदेश्वर मंदिर",
"नागेश्वर मंदिर",
"बोधि मंदिर",
"कंदारिया महादेव मंदिर"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_3_72_page21.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "062",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान ज्ञात है।",
"options": [
"1/2",
"3/4",
"1",
"7/4"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_5_equation_62.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "063",
"question": "इस छवि में दिखाए गए समीकरण के अंतराल [0, π] में सभी मूल्यों का योग है।",
"options": [
"π/3",
"π/2",
"π",
"4π/3"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_5_equation_63.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "065",
"question": "कोबाल्ट (III) क्लोराइड हेक्साहाइड्रेट और सिल्वर नाइट्रेट से जुड़ी दी गई प्रतिक्रिया में, कितने आयन अवक्षेपित होते हैं? विवरण के लिए दिए गए समीकरण का संदर्भ लें।.",
"options": [
"2/5",
"4/7",
"5/9",
"6/11"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_65.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "066",
"question": "इस छवि में दिखाए गए समीकरण के अंतराल [0, π/2] में मूल्यों की संख्या है।",
"options": [
"0",
"1",
"2",
"3"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_66.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "067",
"question": "त्रिभुज जिसकी भुजाएँ 4, 5, 6 हैं, का सबसे बड़ा कोण है",
"options": [
"image_UP_CET_2019_paper_5_option_67_page15.png",
"image_UP_CET_2019_paper_5_option_67_page15_1.png",
"image_UP_CET_2019_paper_5_option_67_page15_2.png",
"image_UP_CET_2019_paper_5_option_67_page15_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "023",
"question": "यदि छवि में दिखाए गए फलन \\( f(x) \\) सतत (continuous) है, तब c के सम्भावित मान हैं",
"options": [
"\\( \\frac{1 \\pm \\sqrt{2}}{2} \\)",
"\\( \\frac{1 \\pm \\sqrt{3}}{2} \\)",
"\\( \\frac{1 \\pm \\sqrt{5}}{2} \\)",
"\\( \\frac{1 \\pm \\sqrt{6}}{2} \\)"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_5_equation_23.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "024",
"question": "माना कि \\( f \\) एक ऐसा अवकलनीय फलन है कि इस छवि में दिखाए गए समीकरण सत्य हैं। तब \\( g(1) \\) का मान है",
"options": [
"\\( \\frac{1}{2} \\)",
"\\( \\frac{1}{3} \\)",
"\\( \\frac{1}{4} \\)",
"\\( \\frac{1}{5} \\)"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_5_equation_24.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "025",
"question": "यदि छवि में दिखाए गए फलन \\( f(x) \\) सर्वत्र अवकलनीय है, तब (a + b) का मान है।",
"options": [
"0",
"1",
"2",
"3"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_25.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "026",
"question": "माना कि \\( f' \\) एक अवकलनीय फलन है तथा \\( f(0) = 1 \\), \\( f'(0) = 1 \\) है और सभी वास्तविक संख्याओं \\( a \\) और \\( b \\) के लिए इस छवि में दिखाए गए समीकरण के अनुसार है। तब निम्न विकल्पों में से कौन सा सत्य है?",
"options": [
"\\( f(x) - f'(x) = 0 \\)",
"\\( f'(x) f(x) = 1 \\)",
"\\( 2f(x) - f'(x) = 1 \\)",
"\\( 3f(x) - f'(x) = 2 \\)"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_5_equation_26.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "027",
"question": "k के निम्नलिखित में से किस मान के लिए छवि में दिखाए गए समीकरण का केवल ही एक हल है?",
"options": [
"\\( \\frac{1}{e} \\)",
"\\( \\frac{1}{2e} \\)",
"\\( \\frac{2}{e} \\)",
"\\( \\frac{3}{e} \\)"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_27.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "computer concepts",
"category_original_lang": "कंप्यूटर अवधारणाएँ",
"original_question_num": "081",
"question": "स्टैक का उपयोग करके एकल अंकों के ऑपरेड्स के साथ इस छवि में दिखाए गए पोस्टफिक्स एक्सप्रेशन का मूल्यांकन कीजिये। स्टैक में मूल्यांकन के बाद स्टैक के शीर्ष दो तत्व क्या हैं?",
"options": [
"6, 1",
"5, 7",
"3, 2",
"1, 5"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_5_equation_81.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "018",
"question": "मान लीजिए a₁, a₂, a₃, ..... एक समान्तर श्रेणी (arithmetic progression) में इस तरह से है ताकि इस छवि में दिखाए गए समीकरण के अनुसार। समान्तर श्रेणी के पहले 19 पदों का योग है।",
"options": [
"1058",
"1060",
"1062",
"1064"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_5_equation_18.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "019",
"question": "मान लीजिए a₁, a₂, a₃, ..... एक समान्तर श्रेणी में हैं जिसका सामान्य अंतर (common difference) अशून्य (non zero) है। दिया गया है कि इस छवि में दिखाए गए समीकरण के अनुसार और aₖ = 8 के लिए k तब k का मान है।",
"options": [
"5",
"6",
"7",
"8"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_5_equation_19.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "020",
"question": "दिया गया है कि इस छवि में दिखाए गए समीकरण का मान 2 है। तब a + b का मान है।",
"options": [
"4",
"6",
"8",
"10"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_5_equation_20.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "022",
"question": "यदि छवि में दिखाए गए फलन f(x) सतत (continuous) है, तब (a + b) का मान है।",
"options": [
"0",
"1",
"2",
"3"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_22.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "computer concepts",
"category_original_lang": "कंप्यूटर अवधारणाएँ",
"original_question_num": "080",
"question": "निम्नलिखित में से कौन सा तार्किक इस वाक्य का प्रतिनिधित्व करने के लिए सबसे उपयुक्त है: \"Gold and silver ornaments are precious.\" The following notations are used: G(x): x is a gold ornament S(x): x is a silver ornament P(x): x is precious",
"options": [
"image_UP_CET_2019_paper_5_option_80_page18.png",
"image_UP_CET_2019_paper_5_option_80_page18_1.png",
"image_UP_CET_2019_paper_5_option_80_page18_2.png",
"image_UP_CET_2019_paper_5_option_80_page18_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "060",
"question": "द्विघात समीकरण के गुणांक a और b को एक निष्पक्ष पासा फेंककर निर्धारित किया जाता है। समीकरण के वास्तविक और समान मूल होने की प्रायिकता जानने के लिए दिए गए समीकरण का संदर्भ लें।",
"options": [
"1/6",
"1/8",
"1/12",
"1/16"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_5_equation_60.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "053",
"question": "इस छवि में दिखाए गए पद एवं (1 + x)^r के प्रसार में गुणांकों के योग में अंतर 768 है। तब (1 + x)^r के प्रसार में x^5 का गुणांक है।",
"options": [
"56",
"84",
"7",
"210"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_5_equation_53.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "054",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान क्या है?",
"options": [
"25 × 100C50",
"26 × 100C50",
"26 × 101C50",
"25 × 101C51"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_54.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "055",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान क्या है?",
"options": [
"840",
"630",
"420",
"210"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_5_equation_55.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "057",
"question": "निम्न कथनों में से कौन सा कथन सत्य नहीं है",
"options": [
"image_UP_CET_2019_paper_5_equation_57_choice_0.png",
"image_UP_CET_2019_paper_5_equation_57_choice_1.png",
"image_UP_CET_2019_paper_5_equation_57_choice_2.png",
"image_UP_CET_2019_paper_5_equation_57_choice_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "049",
"question": "एक एकक सदिश (unit vector), 𝑎⃗ , 𝑦𝑧−तल के समांतर तथा इस छवि में दिखाए गए सदिश के लम्बवत है। माना कि 𝑏⃗ =𝑖⃗ +2𝑗⃗ −𝑘⃗ तब 𝑎⃗ ⋅𝑏⃗ बराबर है।",
"options": [
"1/2",
"2/3",
"2/5",
"3/7"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_5_equation_49.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "050",
"question": "निम्न कथनों में से कौन सा कथन सत्य नहीं है",
"options": [
"image_UP_CET_2019_paper_5_equation_50_choice_0.png",
"image_UP_CET_2019_paper_5_equation_50_choice_1.png",
"image_UP_CET_2019_paper_5_equation_50_choice_2.png",
"image_UP_CET_2019_paper_5_equation_50_choice_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "003",
"question": "यदि \\( f(x) = \\frac{x-1}{x+1} \\), तब इस छवि में दिखाए गए का प्रांत (domain) है",
"options": [
"{x ∈ R | x ≠ 1}",
"{x ∈ R | x ≠ 0}",
"{x ∈ R | x ≠ 0, -1}",
"{x ∈ R | x ≠ 0, -1, 1}"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_5_equation_3.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "004",
"question": "मान लीजिए \\( f(x) = x + 2, x ∈ R \\) और \\( h(x) = 3x - 1, x ∈ R \\)। यदि g एक ऐसा फलन है ताकि इस छवि में दिखाए गए समीकरण के बराबर हो, तब",
"options": [
"\\( g(x) = 3x - 6 \\)",
"\\( g(x) = 3x - 7 \\)",
"\\( g(x) = 3x - 8 \\)",
"\\( g(x) = 3x - 9 \\)"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_4.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "005",
"question": "यदि \\( x = 3 + 2\\sqrt{2} \\) तब इस छवि में दिखाए गए अभिव्यक्ति का मान है।",
"options": [
"\\( \\sqrt{2} \\)",
"\\( -\\sqrt{2} \\)",
"2",
"-1"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_5_equation_5.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "006",
"question": "मान लीजिए \\( z_1 = 1 + i, z_2 = \\frac{1 - i}{2}, z_3 = 2 - i \\) तब इस छवि में दिखाए गए अभिव्यक्ति का काल्पनिक भाग है",
"options": [
"\\( \\frac{1}{10} \\)",
"\\( \\frac{1}{5} \\)",
"\\( \\frac{3}{10} \\)",
"\\( \\frac{2}{5} \\)"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_5_equation_6.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "008",
"question": "मान लीजिए \\( z = x + iy \\) एक समिश्र संख्या (complex number) है। छवि में दिखाए गए समीकरण निरूपित करती है।",
"options": [
"\\( y = 4x + 3 \\)",
"\\( y = 4x - 3 \\)",
"\\( y = 3x + 4 \\)",
"\\( y = 3x - 4 \\)"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_5_equation_8.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "044",
"question": "बिंदु P(2, 1) पर दीर्घवृत्त इस छवि में दिखाए गए समीकरण का अभिलंब (normal) दीर्घवृत्त को एक दूसरे बिंदु Q पर काटता है। तब Q के निर्देशांक हैं।",
"options": [
"(1, √7/2)",
"(√2, 3/2)",
"(12/17, 25/17)",
"(14/17, 23/17)"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_5_equation_44.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "045",
"question": "बिंदु (5, -4/3) पर अतिपरवलय इस छवि में दिखाए गए की एक स्पर्श रेखा (tangent), रेखा 6x - 3y = 5 के बिंदु P पर काटती है। तब P के निर्देशांक हैं",
"options": [
"(1, 1/3)",
"(5/6, 0)",
"(4/3, 1)",
"(7/6, 3)"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_5_equation_45.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "046",
"question": "इस छवि में दिखाए गए दीर्घवृत्त के बिंदु (3, 0) और (0, 2) पर खींची गयी स्पर्श रेखाओं का आंतरिक कोण (internal angle) है।",
"options": [
"30°",
"45°",
"60°",
"90°"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_5_equation_46.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "047",
"question": "कोबाल्ट (III) क्लोराइड हेक्साहाइड्रेट और सिल्वर नाइट्रेट से जुड़ी दी गई प्रतिक्रिया में, कितने आयन अवक्षेपित होते हैं? विवरण के लिए दिए गए समीकरण का संदर्भ लें।.",
"options": [
"1 & −1",
"1 & 2",
"2 & 4",
"3 & 5"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_5_equation_47.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "048",
"question": "मान कि 𝑎̅ एक एकक सदिश (unit vector) है। तब इस छवि में दिखाए गए अभिव्यक्ति का मान बराबर है।",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_48.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "039",
"question": "यदि इस छवि में दिखाए गए समीकरण दो समानांतर सरल रेखाओं को निरूपित करती है तब निम्न विकल्पों में से कौन सा सदैव सत्य है? (सभी गुणांक अन्यथा निर्दिष्ट किए गए हैं)",
"options": [
"image_UP_CET_2019_paper_5_equation_39_choice_0.png",
"image_UP_CET_2019_paper_5_equation_39_choice_1.png",
"image_UP_CET_2019_paper_5_equation_39_choice_2.png",
"image_UP_CET_2019_paper_5_equation_39_choice_3.png"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_5_equation_39.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "040",
"question": "रेखा इस छवि में दिखाए गए समीकरण और निर्देशांक अक्षों (coordinate axes) से बने त्रिभुज के अंत:वृत्त (incircle) की त्रिज्या है।",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_40.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "041",
"question": "बिंदु P(7,1) से इस छवि में दिखाए गए वृत्त पर स्पर्श रेखाएं खींची गईं हैं जो y-अक्ष को क्रमश: Q और R पर काटती हैं। त्रिभुज PQR की परिधि है।",
"options": [
"25",
"30",
"35",
"40"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_5_equation_41.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "042",
"question": "इस छवि में दिखाए गए वृत्त की एक जीव (chord) का मध्यबिंदु (midpoint) (1, 2) है। यह जीव x-अक्ष और y-अक्ष को क्रमश: बिंदु P और Q पर प्रतिच्छेद करती है। यदि O मूलबिंदु (origin) को दर्शाता है, तो त्रिभुज OPQ का क्षेत्रफल है।",
"options": [
"5",
"15/2",
"10",
"25/4"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_5_equation_42.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "043",
"question": "बिंदु P(2, 2) पर परवलय इस छवि में दिखाए गए की एक स्पर्श रेखा (tangent) x-अक्ष को बिंदु Q पर काटती है। तब PQ बराबर है",
"options": [
"√5",
"2√5",
"3/√5",
"4/√5"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_43.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "001",
"question": "रेखा \\( y = -x + 7 \\) और इस छवि में दिखाए गए परवलय के प्रतिच्छेद बिंदुओं के बीच की दूरी है",
"options": [
"\\( \\sqrt{2} \\)",
"\\( 3\\sqrt{2} \\)",
"\\( 5\\sqrt{2} \\)",
"\\( 7\\sqrt{2} \\)"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_5_equation_1.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "002",
"question": "यदि परवलय इस छवि में दिखाए गए परवलय को स्पर्श करता है, तब \\( k \\) का मान है",
"options": [
"0",
"1",
"2",
"3"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_5_equation_2.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "034",
"question": "यदि अवकल समीकरण इस छवि में दिखाए गए समीकरण का हल वृत्तों के कुल (family of circles) जिनके केंद्र (0, 0) पर है को निरूपित करता है, तब k का मान है",
"options": [
"0",
"1",
"2",
"3"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_34.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "035",
"question": "अवकल समीकरण इस छवि में दिखाए गए समीकरण का हल उन वक्रों के कुल (family of curves) को निरूपित करता है जिनकी समीकरण दी जाती है।",
"options": [
"image_UP_CET_2019_paper_5_equation_35_choice_0.png",
"image_UP_CET_2019_paper_5_equation_35_choice_1.png",
"image_UP_CET_2019_paper_5_equation_35_choice_2.png",
"image_UP_CET_2019_paper_5_equation_35_choice_3.png"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_35.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "037",
"question": "यदि छवि में दिखाए गए समीकरण को y(x) संतुष्ट करता है, y(1) = 1, तो y(2) तब है",
"options": [
"0",
"-1/4",
"-3/4",
"-e"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_37.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "013",
"question": "मान लीजिए A & B दो n × n व्युत्क्रम आव्यूह (invertible matrix) हैं। निम्न विकल्पों में से कौन सा संदेश सत्य है?",
"options": [
"image_UP_CET_2019_paper_5_equation_13_choice_0.png",
"image_UP_CET_2019_paper_5_equation_13_choice_1.png",
"image_UP_CET_2019_paper_5_equation_13_choice_2.png",
"image_UP_CET_2019_paper_5_equation_13_choice_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "014",
"question": "इस छवि में दिखाए गए समीकरण के वास्तविक मूलों की संख्या है।",
"options": [
"0",
"1",
"2",
"3"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_14.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "015",
"question": "यदि α, β x^2 - 3x + 2 = 0 के मूल हैं तब |α| |β| मूलों वाली समीकरण है",
"options": [
"image_UP_CET_2019_paper_5_option_15_page5.png",
"image_UP_CET_2019_paper_5_option_15_page5_1.png",
"image_UP_CET_2019_paper_5_option_15_page5_2.png",
"image_UP_CET_2019_paper_5_option_15_page5_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "computer concepts",
"category_original_lang": "कंप्यूटर अवधारणाएँ",
"original_question_num": "090",
"question": "दिए गए फंक्शन, जो छवि में दिखाया गया है, जहाँ F तीन बूलीयन चर में एक फंक्शन है: P, Q, R एवं P' = !P निम्नलिखित कथनों पर विचार करें। S1: F = Σ (4, 5, 6) S2: F = Σ (0, 1, 2, 3, 7) S3: F = Π (4, 5, 6) S4: F = Π (0, 1, 2, 3, 7) इनमें से सही क्या है ?",
"options": [
"S1-False, S2-True, S3-True, S4-False",
"S1-True, S2-False, S3-False, S4-True",
"S1-False, S2-False, S3-True, S4-True",
"S1-True, S2-True, S3-False, S4-False"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_5_equation_90.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "computer concepts",
"category_original_lang": "कंप्यूटर अवधारणाएँ",
"original_question_num": "087",
"question": "इस छवि में दिखाए गए टर्म के लिए प्राइम इम्प्लिकेंट्स की कुल संख्या है ...........",
"options": [
"2",
"3",
"4",
"5"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_87.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "009",
"question": "x³ + 1 = 0 के सम्मिलित मूल हैं",
"options": [
"image_UP_CET_2019_paper_5_option_9_page4.png",
"image_UP_CET_2019_paper_5_option_9_page4_1.png",
"image_UP_CET_2019_paper_5_option_9_page4_2.png",
"image_UP_CET_2019_paper_5_option_9_page4_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "010",
"question": "माना कि n × n आव्यूह (matrix) P, Q हैं। मान कि O शून्य आव्यूह (zero matrix) तथा I तत्समक (identity matrix) हैं। इस छवि में दिखाए गए समीकरण के अनुसार, तब निम्न विकल्पों में से कौनसा सदैव सत्य है?",
"options": [
"image_UP_CET_2019_paper_5_equation_10_choice_0.png",
"image_UP_CET_2019_paper_5_equation_10_choice_1.png",
"image_UP_CET_2019_paper_5_equation_10_choice_2.png",
"image_UP_CET_2019_paper_5_equation_10_choice_3.png"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_5_equation_10.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "011",
"question": "माना कि P एक 2 × 2 ऐसा आव्यूह (matrix) है ताकि P[0 1/√2 1 1] और P[0 1/2 1 -1] यदि O शून्य आव्यूह (zero matrix) तथा I तत्समक (identity matrix) हैं, तब निम्न विकल्पों में से कौन सा सत्य है?",
"options": [
"image_UP_CET_2019_paper_5_option_11_page4.png",
"image_UP_CET_2019_paper_5_option_11_page4_1.png",
"image_UP_CET_2019_paper_5_option_11_page4_2.png",
"image_UP_CET_2019_paper_5_option_11_page4_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "012",
"question": "माना कि a, b, c ऐसी वास्तविक संख्याएँ हैं ताकि b ≠ 0 और c ≠ 0. माना कि P = [a b c 0] और P⁻¹ = P तब",
"options": [
"image_UP_CET_2019_paper_5_equation_12_choice_0.png",
"image_UP_CET_2019_paper_5_equation_12_choice_1.png",
"image_UP_CET_2019_paper_5_equation_12_choice_2.png",
"image_UP_CET_2019_paper_5_equation_12_choice_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "070",
"question": "एक सरल रेखा में चलने वाले किसी कण (particle) की रेखा पर किसी नियत बिंदु (fixed point) से t सेकंड में चली दूरी (मीटर में) इस छवि में दिखाए गए समीकरण से निर्गत है। t = 2 सेकंड के बाद कण का त्वरण (acceleration) है।",
"options": [
"70 m/s²",
"80 m/s²",
"90 m/s²",
"100 m/s²"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_5_equation_70.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "028",
"question": "फलन के आरेखों से घिरा क्षेत्रफल है जो छवि में दिखाए गए हैं।",
"options": [
"3/2",
"5/2",
"7/2",
"9/2"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_5_equation_28.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "029",
"question": "यदि रेखा y = b वक्रों (curves) इस छवि में दिखाए गए वक्र और y = 0 से घिरे हुए क्षेत्र (region) को समान क्षेत्रफल (area) वाले क्षेत्र में विभाजित करती है, तब b का मान है",
"options": [
"(2 - 3√2)",
"2(2 - 3√2)",
"3(2 - 3√2)",
"4(2 - 3√2)"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_5_equation_29.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "032",
"question": "यदि J = इस छवि में दिखाए गए अभिव्यक्ति तब \\( \\int_{\\pi/3}^{2\\pi/3} x e^{\\sqrt{\\sin x}} \\, dx \\) है",
"options": [
"π/2",
"π/3",
"2π/3",
"πJ"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_5_equation_32.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-5-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "033",
"question": "यदि \\( y \\in R \\), से कम या \\( y \\) के बराबर महत्तम पूर्णांक ग्रहण करने वाले फलन को \\([y]\\) से निरूपित किया गया हो तो इस छवि में दिखाए गए समाकलन का मान है।",
"options": [
"-π/2",
"π/2",
"0",
"π"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_5_equation_33.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "048",
"question": "2016 में कंपनी X और Y के व्यय का अनुपात 4:5 था। उसी वर्ष उनकी आय का अनुपात क्या था?",
"options": [
"26:35",
"25:34",
"24:34",
"23:36"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_6_48_page10.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "049",
"question": "यदि 2017 और 18 में X की आय 3:4 के अनुपात में थी, तो इन वर्षों में कंपनी X के व्यय का अनुपात क्या था?",
"options": [
"5:9",
"6:11",
"7:10",
"7:9"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_6_49_page10.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "050",
"question": "यदि 2014 में X की आय 2015 में Y के व्यय के बराबर थी, तो इन वर्षों में उनके लाभ का अनुपात क्या था?",
"options": [
"1:1",
"10:13",
"11:15",
"13:15"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_6_50_page10.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "030",
"question": "अंतराल [0, 2π] में इस छवि में दिखाए गए समीकरण tan θ/2 के सभी हलों का योग है।",
"options": [
"π",
"2π",
"3π",
"4π"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_6_equation_30.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "031",
"question": "व्यंजक इस छवि में दिखाए गए व्यंजक के बराबर है।",
"options": [
"cos4θ",
"cos6θ",
"sin4θ",
"sin6θ"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_6_equation_31.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "033",
"question": "ΔABC में, इस छवि में दिखाए गए अभिव्यक्ति का मान है",
"options": [
"1",
"2",
"4",
"6"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_6_equation_33.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "045",
"question": "यदि लेखन-सामग्री और पाठ्यपुस्तकों पर खर्च की गई राशि 5400 रूपए थी, तो परिवहन पर खर्च की गई राशि क्या थी?",
"options": [
"7400",
"7600",
"7800",
"8000"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_6_45_page9.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "046",
"question": "स्कूल की फीस ट्यूशन फीस का कितना प्रतिशत है?",
"options": [
"47%",
"48%",
"49%",
"51%"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_6_46_page9.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "047",
"question": "यदि कुल मासिक खर्च रूपए 60000 थे तो बोर्डिंग और व्यक्तिगत खर्च पर खर्च किया गया धन था:",
"options": [
"24600",
"24800",
"25000",
"25200"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_6_47_page9.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "035",
"question": "n के संभावित पूर्णांक मानों की संख्या जिनके लिए इस छवि में दिखाए गए समीकरण के वास्तविक मूल हैं, है।",
"options": [
"5",
"4",
"3",
"2"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_6_equation_35.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "036",
"question": "समीत्र संख्या इस छवि में दिखाए गए अभिव्यक्ति के वास्तविक और काल्पनिक भागों का योग है।",
"options": [
"\\(\\frac{16}{13}\\)",
"\\(\\frac{18}{13}\\)",
"\\(\\frac{19}{13}\\)",
"\\(\\frac{21}{13}\\)"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_6_equation_36.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "027",
"question": "ΔABC में, ∠B = 90°, AB = 12, BC = 16. माना कि D और E क्रमशः AB और BC पर ऐसे बिंदु हैं कि DE = 10. तब इस छवि में दिखाए गए मान बराबर है",
"options": [
"356",
"500",
"544",
"578"
],
"answer": 1,
"image_png": "image_UP_CET_2019_paper_6_equation_27.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "042",
"question": "वर्ष 2015 में सभी विषयों में लड़कियों की संख्या का औसत क्या था?",
"options": [
"116",
"120",
"124",
"128"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_6_42_page8.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "043",
"question": "दिए गए वर्षों के दौरान रसायन विज्ञान में लड़कियों की संख्या और कुल छात्रों की संख्या के बीच का अनुपात क्या था?",
"options": [
"3:11",
"4:11",
"5:11",
"6:11"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_6_43_page8.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "044",
"question": "वर्ष 2018 में सभी विषयों की लड़कियों और लड़कों की संख्या का अनुपात क्या था?",
"options": [
"71:104",
"73:104",
"75:104",
"77:104"
],
"answer": 3,
"image_png": "image_UP_CET_2019_paper_6_44_page8.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "064",
"question": "चीनी जो पेंटर हैं, लेकिन संगीतकार नहीं हैं?",
"options": [
"b",
"c",
"d",
"g"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_6_64_page15.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "065",
"question": "पेंटर जो ना तो चीनी हैं ना ही संगीतकार?",
"options": [
"b",
"c",
"f",
"g"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_6_65_page15.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "066",
"question": "चीनी जो संगीतकार हैं लेकिन पेंटर नहीं हैं?",
"options": [
"d",
"c",
"b",
"a"
],
"answer": 0,
"image_png": "image_UP_CET_2019_paper_6_66_page15.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2019_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2019-paper-6-code-aa-question-paper-with-answer-key-pdfs-april-21",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "067",
"question": "चीनी जो पेंटर के साथ-साथ संगीतकार हैं?",
"options": [
"a",
"b",
"c",
"d"
],
"answer": 2,
"image_png": "image_UP_CET_2019_paper_6_67_page15.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "016",
"question": "M द्रव्यमान और L लंबाई की एक एकसमान रस्सी छत से लटकी है। यदि एक अनुप्रस्थ तरंग पूरी लंबाई में चलने में लगा समय है:",
"options": [
"image_UP_CET_2020_paper_1_option_16_page6.png",
"image_UP_CET_2020_paper_1_option_16_page6_1.png",
"image_UP_CET_2020_paper_1_option_16_page6_2.png",
"image_UP_CET_2020_paper_1_option_16_page6_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "018",
"question": "एक तरंग के विस्थापन का समीकरण इस छवि में दिखाया गया है। तरंग का आयाम है:",
"options": [
"10 सेमी",
"17.3 सेमी",
"20 सेमी",
"40 सेमी"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_1_equation_18.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "112",
"question": "यदि α, β तथा γ समीकरण के मूल हैं, तो दिए गए घन समीकरण का उपयोग करके निम्नलिखित का मान ज्ञात करें। विवरण के लिए समीकरण का संदर्भ लें।",
"options": [
"0",
"2",
"−2",
"1"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_1_equation_112.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "113",
"question": "यदि सार्वत्रिक समुच्चय, समुच्चय A, समुच्चय B और उनके प्रतिच्छेद के तत्वों की संख्या दी गई है, तो A और B के पूरक के प्रतिच्छेद की संख्या ज्ञात करें। विवरण के लिए दिए गए समीकरण का संदर्भ लें।",
"options": [
"300",
"350",
"400",
"500"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_1_equation_113.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "115",
"question": "यदि फलन f: R→R जो कि इस छवि में दिखाए गए रूप से परिभाषित है, जहाँ m ≠ n से परिभाषित है, तब",
"options": [
"f एकेक और आक्रिय फलन है",
"f एकेक और आक्रिय नहीं फलन है",
"f बहुएक और आक्रिय फलन है",
"f बहुएक और आन्तरिक आक्रिय फलन है"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_1_equation_115.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "135",
"question": "∫ 1 + tan²x / 1 - tan²x dx बराबर है:",
"options": [
"image_UP_CET_2020_paper_1_option_135_page31.png",
"image_UP_CET_2020_paper_1_option_135_page31_1.png",
"image_UP_CET_2020_paper_1_option_135_page31_2.png",
"image_UP_CET_2020_paper_1_option_135_page31_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "136",
"question": "f(x)=√1 + x² का x² के साथ समाकलन है:",
"options": [
"image_UP_CET_2020_paper_1_option_136_page31.png",
"image_UP_CET_2020_paper_1_option_136_page31_1.png",
"image_UP_CET_2020_paper_1_option_136_page31_2.png",
"image_UP_CET_2020_paper_1_option_136_page31_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "137",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान बराबर है:",
"options": [
"17",
"9",
"12",
"18"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_1_equation_137.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "138",
"question": "वक्रों इस छवि में दिखाए गए समीकरणों से घिरे हुए क्षेत्र का क्षेत्रफल है:",
"options": [
"5/3 वर्ग इकाई",
"5/4 वर्ग इकाई",
"5/12 वर्ग इकाई",
"5/8 वर्ग इकाई"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_1_equation_138.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "128",
"question": "बिन्दु (5, 1) से छवि में दिखाए गए वृत्त पर स्पर्श रेखा की लम्बाई है:",
"options": [
"81",
"29",
"7",
"21"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_1_equation_128.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "129",
"question": "\\(\\lim_{{x \\to 1}} \\frac{{x^n - 1}}{{x - 1}}\\) बराबर है:",
"options": [
"image_UP_CET_2020_paper_1_option_129_page30.png",
"image_UP_CET_2020_paper_1_option_129_page30_1.png",
"image_UP_CET_2020_paper_1_option_129_page30_2.png",
"image_UP_CET_2020_paper_1_option_129_page30_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "130",
"question": "यदि f(2)=4 तथा f'(2)=1, तब इस छवि में दिखाए गए सीमा का मान बराबर है:",
"options": [
"-2",
"1",
"2",
"-1"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_1_equation_130.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "131",
"question": "यदि x की माप डिग्री में हो, तो \\(\\frac{d}{dx} (\\cos x)\\) बराबर है:",
"options": [
"image_UP_CET_2020_paper_1_option_131_page30.png",
"image_UP_CET_2020_paper_1_option_131_page30_1.png",
"image_UP_CET_2020_paper_1_option_131_page30_2.png",
"image_UP_CET_2020_paper_1_option_131_page30_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "132",
"question": "यदि इस छवि में दिखाए गए \\(y\\) के लिए \\(\\frac{dy}{dx}\\) बराबर है, तब क्या होगा?",
"options": [
"0",
"\\(\\frac{1}{\\sqrt{x + 1}}\\)",
"1",
"\\(\\sqrt{x - 1}\\)"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_1_equation_132.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "106",
"question": "यदि p, q, r तथा s इस प्रकार की धनात्मक वास्तविक संख्याएँ हैं कि p + q + r + s = 2, तब M = (p+q)(r+s) सम्बन्ध तब संतुष्ट होगा, जब",
"options": [
"image_UP_CET_2020_paper_1_equation_106_choice_0.png",
"image_UP_CET_2020_paper_1_equation_106_choice_1.png",
"image_UP_CET_2020_paper_1_equation_106_choice_2.png",
"image_UP_CET_2020_paper_1_equation_106_choice_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "107",
"question": "अनन्त श्रेणी \\( \\frac{2^2}{2!} + \\frac{2^4}{4!} + \\frac{2^6}{6!} + --- \\) का योग है:",
"options": [
"image_UP_CET_2020_paper_1_option_107_page26.png",
"image_UP_CET_2020_paper_1_option_107_page26_1.png",
"image_UP_CET_2020_paper_1_option_107_page26_2.png",
"image_UP_CET_2020_paper_1_option_107_page26_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "108",
"question": "यदि \\( n \\) एक धनात्मक पूर्णांक है, तब इस छवि में दिखाए गए अभिव्यक्ति भाज्य होगा।",
"options": [
"2 से",
"6 से",
"15 से",
"3 से"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_1_equation_108.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "109",
"question": "यदि a तथा b क्रमशः (1+x)^n के विस्तार में x^r तथा x^{n-r} के गुणांक हैं, तब",
"options": [
"image_UP_CET_2020_paper_1_option_109_page26.png",
"image_UP_CET_2020_paper_1_option_109_page26_1.png",
"image_UP_CET_2020_paper_1_option_109_page26_2.png",
"image_UP_CET_2020_paper_1_option_109_page26_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "110",
"question": "यदि इस छवि में दिखाए गए A तथा I 2×2 कोटि की एकक आव्यूह (unit matrix) है, तब A^2 बराबर है",
"options": [
"4A - 3I",
"3A - 4I",
"A - I",
"A + I"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_1_equation_110.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "033",
"question": "एक लंबा सीधा चालक तार I धारा वहन कर रहा है और एक वर्गाकार फ्रेम a भुजा का एक ही तल में है। यह फ्रेम दाईं ओर एक नियत v वेग से चलता है। फ्रेम में प्रेरित विद्युत वाहक बल समानुपाती होगा:",
"options": [
"image_UP_CET_2020_paper_1_option_33_page10.png",
"image_UP_CET_2020_paper_1_option_33_page10_1.png",
"image_UP_CET_2020_paper_1_option_33_page10_2.png",
"image_UP_CET_2020_paper_1_option_33_page10_3.png"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_1_33_page10.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "034",
"question": "किसी स्थान पर नति कोण 30° है। यदि पृथ्वी के चुंबकीय क्षेत्र का क्षैतिज घटक H है, तो सम्पूर्ण क्षेत्र की तीव्रता है:",
"options": [
"image_UP_CET_2020_paper_1_option_34_page10.png",
"image_UP_CET_2020_paper_1_option_34_page10_1.png",
"image_UP_CET_2020_paper_1_option_34_page10_2.png",
"image_UP_CET_2020_paper_1_option_34_page10_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "020",
"question": "एक आदर्श गैस, जिसका दाब P, आयतन V तथा ताप T है, को ऐडियाबैटिक विस्फारित किया जाता है कि उसका आयतन 4V हो जाता है और ताप गिरकर T/2 हो जाता है। गैस का ऐडियाबैटिक सूचकांक इस छवि में दिखाए गए समीकरण से है।",
"options": [
"1.66",
"1.50",
"1.40",
"1.33"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_1_equation_20.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "024",
"question": "'m' द्रव्यमान की दो एकसमान आवेशित गोलीय गेंदें l लम्बाई की रस्सियों द्वारा एक ही बिन्दु से लटकाई गयी हैं। लटकाव बिन्दु पर, समान आवेश की एक तीसरी गेंद है। साम्यावस्था में रस्सियों के मध्य कोण 90⁰ है। दोनों गेंदों पर आवेश है:",
"options": [
"image_UP_CET_2020_paper_1_option_24_page7.png",
"image_UP_CET_2020_paper_1_option_24_page7_1.png",
"image_UP_CET_2020_paper_1_option_24_page7_2.png",
"image_UP_CET_2020_paper_1_option_24_page7_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "085",
"question": "नाइट्रोजन के निर्धारण के लिए लैसाइन परीक्षण में असफल है",
"options": [
"image_UP_CET_2020_paper_1_option_85_page21.png",
"image_UP_CET_2020_paper_1_option_85_page21_1.png",
"image_UP_CET_2020_paper_1_option_85_page21_2.png",
"image_UP_CET_2020_paper_1_option_85_page21_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "086",
"question": "कोबाल्ट क्लोराइड द्वारा भरीत सिलिका जेल वातावरण की नमी अवशोषित कर गुलाबी होता है तथा गर्म करने के पश्चात नीला हो जाता है। गुलाबी एवं नीला रंग क्रमशः किनके कारण होगा।",
"options": [
"image_UP_CET_2020_paper_1_option_86_page21.png",
"image_UP_CET_2020_paper_1_option_86_page21_1.png",
"image_UP_CET_2020_paper_1_option_86_page21_2.png",
"image_UP_CET_2020_paper_1_option_86_page21_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "066",
"question": "निम्नलिखित में से कौन सी अभिक्रिया सही नहीं है",
"options": [
"image_UP_CET_2020_paper_1_option_66_page17.png",
"image_UP_CET_2020_paper_1_option_66_page17_1.png",
"image_UP_CET_2020_paper_1_option_66_page17_2.png",
"image_UP_CET_2020_paper_1_option_66_page17_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "067",
"question": "निम्न में से कौन-सा यौगिक ब्रोमीन के साथ उपचयित करने पर ट्राइब्रोमो उत्पाद देगा?",
"options": [
"image_UP_CET_2020_paper_1_option_67_page17.png",
"image_UP_CET_2020_paper_1_option_67_page17_1.png",
"image_UP_CET_2020_paper_1_option_67_page17_2.png",
"image_UP_CET_2020_paper_1_option_67_page17_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "063",
"question": "निम्न में से कौन सा पदार्थ इस छवि में दिखाए गए अभिक्रिया में अपचायक के रूप में कार्य करेगा?",
"options": [
"H₂O",
"Ni",
"H⁺",
"Cr₂O₇²⁻"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_1_equation_63.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "065",
"question": "दिये गये यौगिक का IUPAC नाम होगा",
"options": [
"N, N - डाइमिथाइल साइक्लोप्रोपेन कार्बोक्सामाइड",
"N - मिथाइल साइक्लोप्रोपेनामाइड",
"साइक्लोप्रोपेनामाइड",
"उपयुक्त में कोई नहीं"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_1_65_page16.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "084",
"question": "दी गयी अभिक्रिया का अंतिम उत्पाद होगा",
"options": [
"image_UP_CET_2020_paper_1_option_84_page20.png",
"image_UP_CET_2020_paper_1_option_84_page20_1.png",
"image_UP_CET_2020_paper_1_option_84_page20_2.png",
"image_UP_CET_2020_paper_1_option_84_page20_3.png"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_1_84_page20.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "076",
"question": "निम्नलिखित में से कौन ज्यामितीय समावयवता प्रदर्शित करता है।",
"options": [
"image_UP_CET_2020_paper_1_option_76_page19.png",
"image_UP_CET_2020_paper_1_option_76_page19_1.png",
"image_UP_CET_2020_paper_1_option_76_page19_2.png",
"image_UP_CET_2020_paper_1_option_76_page19_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "079",
"question": "निम्न रासायनिक अभिक्रिया क्या कहलाती है",
"options": [
"गेटरमैन अभिक्रिया",
"टिशेनको अभिक्रिया",
"गेटरमैन - कोच अभिक्रिया",
"फ्रैंकलैंड अभिक्रिया"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_1_79_page19.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "093",
"question": "25°C ताप पर एक गैल्वैनिक सेल का मानक विद्युतवाहक बल 0.295 V पाया गया जबकि सेल अभिक्रिया में n का मान 2 है। इस अभिक्रिया के लिये साम्यावस्था स्थिरांक होगा।",
"options": [
"2.0 x 10^11",
"4.0 x 10^12",
"1.0 x 10^2",
"1.0 x 10^10"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_1_equation_93.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "094",
"question": "स्वत: अभिक्रिया होती है यदि",
"options": [
"image_UP_CET_2020_paper_1_equation_94_choice_0.png",
"image_UP_CET_2020_paper_1_equation_94_choice_1.png",
"image_UP_CET_2020_paper_1_equation_94_choice_2.png",
"image_UP_CET_2020_paper_1_equation_94_choice_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "097",
"question": "निम्न में से कौन ऐरोमैटिक यौगिक है।",
"options": [
"image_UP_CET_2020_paper_1_option_97_page23.png",
"image_UP_CET_2020_paper_1_option_97_page23_1.png",
"image_UP_CET_2020_paper_1_option_97_page23_2.png",
"image_UP_CET_2020_paper_1_option_97_page23_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "057",
"question": "अमोनिया का निर्माण इस छवि में दिखाए गए अभिक्रिया द्वारा दर्शाया गया है। ΔH° = -91.8KJ mol⁻¹ अभिक्रिया के अनुसार NH₃ के विघटन के लिये अभिक्रिया की एन्थैल्पी क्या होगी?",
"options": [
"-91.8 kJ mol⁻¹",
"+91.8 kJ mol⁻¹",
"-45.9 kJ mol⁻¹",
"+45.9 kJ mol⁻¹"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_1_equation_57.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "002",
"question": "एक वस्तु का त्वरण (a) उसके वेग (v) के पलों में \\(a = \\lambda \\sqrt{v}\\) है जहाँ \\(\\lambda\\) एक स्थिरांक है। यदि t=0 पर \\(v=0\\) हो, तो समय (t) के पलों में वेग दिया जाता है:",
"options": [
"image_UP_CET_2020_paper_1_option_2_page2.png",
"image_UP_CET_2020_paper_1_option_2_page2_1.png",
"image_UP_CET_2020_paper_1_option_2_page2_2.png",
"image_UP_CET_2020_paper_1_option_2_page2_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "005",
"question": "45° झुकाव वाले एक समतल के ऊर्ध्वाधर की 'M' द्रव्यमान की एक समतल क्षेत्रीय तल पर स्थित है। 'v0' वेग से क्षेत्रीय तल में गतिशील 'm' द्रव्यमान की एक गेंद समतल तल से टकराती है और समतल क्षेत्रीय तल पर बिना घर्षण के फिसलने लगती है। टक्कर के पश्चात ऊर्ध्वाधर गति में गेंद का वेग है:",
"options": [
"image_UP_CET_2020_paper_1_option_5_page3.png",
"image_UP_CET_2020_paper_1_option_5_page3_1.png",
"image_UP_CET_2020_paper_1_option_5_page3_2.png",
"image_UP_CET_2020_paper_1_option_5_page3_3.png"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_1_5_page3.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "051",
"question": "निम्नलिखित में से कौन एक क्षारीय जलअपघटन के प्रति सर्वाधिक क्रियाशील है।",
"options": [
"image_UP_CET_2020_paper_1_option_51_page14.png",
"image_UP_CET_2020_paper_1_option_51_page14_1.png",
"image_UP_CET_2020_paper_1_option_51_page14_2.png",
"image_UP_CET_2020_paper_1_option_51_page14_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "chemistry",
"category_original_lang": "रसायन विज्ञान",
"original_question_num": "089",
"question": "नीचे दी गयी कैनिजारो अभिक्रिया के लिये धीमा पद है।",
"options": [
"कार्बोनिल समूह पर OH⁻ का आक्रमण",
"कार्बोनिल समूह पर हाइड्राइड आयन का स्थानान्तरण",
"कार्बोक्सिलिक अम्ल से प्रोटोन का निष्कासन",
"PhCH₂ OH का वियोजनक्रिया"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_1_equation_89.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "148",
"question": "एक बिंदु कण एक सरल रेखा में इस छवि में दिखाए गए समीकरण के अनुसार गति कर रहा है, जहाँ t समय है। तब कण के त्वरण का वेग के घन के साथ अनुपात होगा:",
"options": [
"–1",
"–2",
"–3",
"इनमें से कोई नहीं"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_1_equation_148.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "150",
"question": "एक कण का विस्थापन समीकरण इस छवि में दिखाया गया है। जब इसका वेग 5 m/sec हो जाता है उस क्षण त्वरण होगा:",
"options": [
"3 m/sec²",
"8 m/sec²",
"7 m/sec²",
"10 m/sec²"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_1_equation_150.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "computer concepts",
"category_original_lang": "कंप्यूटर अवधारणाएँ",
"original_question_num": "049",
"question": "चित्र में प्रदर्शित लॉजिकल परिपथ का निर्गत समीकरण है:",
"options": [
"Y= (A+B)BC",
"Y = AB+(B+C)",
"Y= A+B+C",
"Y = ABC"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_1_49_page13.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "006",
"question": "एक वस्तु L लंबाई की एक डोरी के सिरे पर ऊर्ध्वाधर तल में घूम सकती है। उच्चतम स्थिति में वस्तु को दिया गया वेगक्षैतिज होगा, यदि न्यूनतम स्थिति में डोरी में तनाव वस्तु के भार का दस गुना है, होगा:",
"options": [
"image_UP_CET_2020_paper_1_option_6_page4.png",
"image_UP_CET_2020_paper_1_option_6_page4_1.png",
"image_UP_CET_2020_paper_1_option_6_page4_2.png",
"image_UP_CET_2020_paper_1_option_6_page4_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "008",
"question": "एक घर्षणरहित समतल सतह पर स्थित 'm' द्रव्यमान की एक गेंद 'k' बल नियतांक की दो प्रत्यास्थ स्प्रिंगों से नियोजित जुड़ी है। स्प्रिंग के दूसरे दो सिरे दृढ़ दीवार से जुड़े हैं। गेंद क्षैतिज दिशा में सरल आवर्तिक गति कर सकती है। साम्यावस्था से आयाम के आधे और एक तिहाई स्थितियों पर गेंद के वेग का अनुपात होगा:",
"options": [
"2/3",
"3/2",
"√2/3",
"3√3/4√2"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_1_8_page4.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "123",
"question": "बिंदु A(3,4) से गुजरने वाली वह सरल रेखा इस प्रकार है कि अक्षों के बीच का इसका अंतःखण्ड (intercept) बिंदु A पर द्विभाजित होता है। इस रेखा का समीकरण है:",
"options": [
"image_UP_CET_2020_paper_1_equation_123_choice_0.png",
"image_UP_CET_2020_paper_1_equation_123_choice_1.png",
"image_UP_CET_2020_paper_1_equation_123_choice_2.png",
"image_UP_CET_2020_paper_1_equation_123_choice_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "124",
"question": "इस छवि में दिखाए गए वृत्त में अंतर्लिखित समबाहु त्रिभुज के भुजा की लम्बाई क्या है?",
"options": [
"2 इकाई",
"3 इकाई",
"4 इकाई",
"5 इकाई"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_1_equation_124.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "125",
"question": "रेखा इस छवि में दिखाए गए समीकरण तथा वृत्त x² + y² = 16 के स्पर्श करने की प्रतिज्ञा है:",
"options": [
"image_UP_CET_2020_paper_1_equation_125_choice_0.png",
"image_UP_CET_2020_paper_1_equation_125_choice_1.png",
"image_UP_CET_2020_paper_1_equation_125_choice_2.png",
"image_UP_CET_2020_paper_1_equation_125_choice_3.png"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_1_equation_125.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "127",
"question": "यदि इस छवि में दिखाए गए दीर्घवृत्त के दीर्घअक्ष (major axis) की लम्बाई उसकी लघु-अक्ष (minor axis) की लम्बाई से तीन गुनी है, तब उसकी विकेन्द्रता (eccentricity) है:",
"options": [
"1/3",
"1/√3",
"√2/3",
"2√2/3"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_1_equation_127.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "144",
"question": "P और Q के स्थिति सदिश क्रमशः 𝑎⃗ तथा 𝑏⃗ निर्दिष्ट हैं। यदि कोई बिंदु R रेखा PQ पर इस प्रकार है कि PR=5PQ, तब R का स्थिति सदिश है:",
"options": [
"image_UP_CET_2020_paper_1_option_144_page33.png",
"image_UP_CET_2020_paper_1_option_144_page33_1.png",
"image_UP_CET_2020_paper_1_option_144_page33_2.png",
"image_UP_CET_2020_paper_1_option_144_page33_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "146",
"question": "यदि छवि में दिखाए गए समीकरण को इकाई सदिश 𝑎̂, 𝑏̂, 𝑐̂ संतुष्ट करते हैं, तब सदिश 𝑎̂ तथा 𝑐̂ के बीच का कोण है:",
"options": [
"π/4",
"π/3",
"π/6",
"π/2"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_1_equation_146.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "025",
"question": "चित्र में प्रदर्शित परिपथ में वैद्युतवाहक बल E तथा आंतरिक प्रतिरोध 'r' की चार बैटरियाँ, दो प्रतिरोध प्रत्येक R तथा एक। लंबाई की प्लेटें एवं उनके बीच दूरी 'd' वाला समांतर प्लेट संधारित्र है। एक इलेक्ट्रॉन प्लेटों के समानांतर 'v' वेग से संधारित्र के अंदर प्रवेश करता है। इलेक्ट्रॉन के समांतर के बाहर आने पर प्लेटों से बना कोण है:",
"options": [
"image_UP_CET_2020_paper_1_option_25_page8.png",
"image_UP_CET_2020_paper_1_option_25_page8_1.png",
"image_UP_CET_2020_paper_1_option_25_page8_2.png",
"image_UP_CET_2020_paper_1_option_25_page8_3.png"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_1_25_page8.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "026",
"question": "4V वैद्युत वाहक बल तथा 1 ओम आंतरिक प्रतिरोध की एक बैटरी चित्रानुसार वैद्युत परिपथ में तीन 45 ओम प्रतिरोधों, एक वोल्टमीटर तथा एक एमीटर से जुड़ी है। वोल्टमीटर तथा एमीटर का पाठांक है:",
"options": [
"11.25 V, 0.25 A",
"3.75 V, 0.25 A",
"1.32 V, 0.03 A",
"3.06 V, 0.94 A"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_1_26_page8.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "101",
"question": "Sn एक ऐसी समान्तर श्रेणी के n पदों के योग को निरुपित करता है। जिसका प्रथम पद a है। यदि इस श्रेणी का साधारण अंतर इस छवि में दिखाए गए समीकरण के बराबर है, तब k बराबर है:",
"options": [
"2",
"3",
"5",
"7"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_1_equation_101.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "103",
"question": "यदि Z1, Z2 तथा Z3 किसी समबाहु त्रिभुज के शीर्षों को इस प्रकार निरुपित करते हैं कि |Z1| = |Z2| = |Z3|, तब",
"options": [
"image_UP_CET_2020_paper_1_option_103_page25.png",
"image_UP_CET_2020_paper_1_option_103_page25_1.png",
"image_UP_CET_2020_paper_1_option_103_page25_2.png",
"image_UP_CET_2020_paper_1_option_103_page25_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "104",
"question": "यदि समीकरण इस छवि में दिखाए गए समीकरण तथा \\( ax^2+bx+c=0 \\), \\( a, b, c \\in R \\), के एक मूल समान हैं, तब \\( a:b:c \\) है:",
"options": [
"3:2:1",
"1:3:2",
"3:1:2",
"1:2:3"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_1_equation_104.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "105",
"question": "यदि a, b, c गुणोत्तर श्रेणी में हैं तथा इस छवि में दिखाए गए समीकरण के अनुसार, तब x, y, z हैं",
"options": [
"समान्तर श्रेणी में",
"गुणोत्तर श्रेणी में",
"हरात्मक श्रेणी में",
"इनमें से कोई नहीं"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_1_equation_105.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "139",
"question": "dy/dx = (ax + h) / (by + k) का हल परवलय निरूपित करेगा, जब",
"options": [
"image_UP_CET_2020_paper_1_option_139_page32.png",
"image_UP_CET_2020_paper_1_option_139_page32_1.png",
"image_UP_CET_2020_paper_1_option_139_page32_2.png",
"image_UP_CET_2020_paper_1_option_139_page32_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "140",
"question": "एक तल पर सभी रेखाओं, जो लंबवत नहीं हैं, का अवकल समीकरण है:",
"options": [
"image_UP_CET_2020_paper_1_option_140_page32.png",
"image_UP_CET_2020_paper_1_option_140_page32_1.png",
"image_UP_CET_2020_paper_1_option_140_page32_2.png",
"image_UP_CET_2020_paper_1_option_140_page32_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "143",
"question": "किन्हीं दो घटनाओं A तथा B के लिये, यदि इस छवि में दिखाए गए समीकरण हो, तो P(A) बराबर है:",
"options": [
"1/2",
"2/3",
"1/3",
"इनमें से कोई नहीं"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_1_equation_143.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "117",
"question": "Sec²θ = \\(\\frac{4xy}{(x+y)²}\\) सत्य है, यदि",
"options": [
"image_UP_CET_2020_paper_1_option_117_page28.png",
"image_UP_CET_2020_paper_1_option_117_page28_1.png",
"image_UP_CET_2020_paper_1_option_117_page28_2.png",
"image_UP_CET_2020_paper_1_option_117_page28_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "118",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का न्यूनतम मान है:",
"options": [
"13",
"9",
"6",
"12"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_1_equation_118.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "120",
"question": "त्रिभुज ΔABC में, यदि इस छवि में दिखाए गए समीकरण के अनुसार तथा a=2, तब त्रिभुज ΔABC का क्षेत्रफल है:",
"options": [
"\\(\\sqrt{2}\\) वर्ग इकाई",
"2 वर्ग इकाई",
"\\(\\sqrt{3}\\) वर्ग इकाई",
"3 वर्ग इकाई"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_1_equation_120.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_Paper_1",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-1-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "121",
"question": "इस छवि में दिखाए गए समीकरण का हल-समूह है।",
"options": [
"{1, 2}",
"{-1, 2}",
"{-1, 1, 0}",
"{1, 1/2, 0}"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_1_equation_121.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "08",
"question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार, |z| का मान है:",
"options": [
"3/2",
"2/3",
"1",
"3/4"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_3_equation_8.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "09",
"question": "यदि 6i - 3i / 4 3i -1 = x + iy, तब 20 3 i",
"options": [
"image_UP_CET_2020_paper_3_option_9_page4.png",
"image_UP_CET_2020_paper_3_option_9_page4_1.png",
"image_UP_CET_2020_paper_3_option_9_page4_2.png",
"image_UP_CET_2020_paper_3_option_9_page4_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "10",
"question": "यदि छवि में दिखाए गए समीकरण का एक मूल सम-अभाज्य (even prime) है, जब कि समीकरण \\(x^2 + λx + μ = 0\\) के मूल बराबर हैं, तब μ का मान है:",
"options": [
"8",
"16",
"24",
"32"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_equation_10.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "11",
"question": "दिए गए द्विघात समीकरण के मूलों का अंतर 2 है, तो P का मान क्या होगा? विवरण के लिए दिए गए समीकरण का संदर्भ लें।",
"options": [
"±3",
"±6",
"±2",
"±1"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_equation_11.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "12",
"question": "इस छवि में दिखाए गए व्यंजक का न्यूनतम मान है?",
"options": [
"0",
"1/3",
"3",
"2/3"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_3_equation_12.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "33",
"question": "यदि \\( f(x) = \\frac{3x + \\tan^2x}{x} \\) x=0 पर सतत है, तो f(0) का मान क्या होगा? विवरण के लिए दिए गए समीकरण का संदर्भ लें।",
"options": [
"3",
"2",
"4",
"0"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_3_equation_33.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "34",
"question": "x=1 पर \\(y=(1-x)(2-x)(3-x)\\cdots(n-x)\\) का x के सापेक्ष अवकलज क्या है? विवरण के लिए दिए गए समीकरण का संदर्भ लें।",
"options": [
"0",
"(−1)(n−1)!",
"n!−1",
"(n+1)!"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_equation_34.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "35",
"question": "यदि \\( x = a(\\theta + \\sin\\theta) \\) और \\( y = a(1 - \\cos\\theta) \\), तो \\(\\frac{dy}{dx}\\) की गणना कैसे की जाती है? विवरण के लिए दिए गए समीकरण का संदर्भ लें।",
"options": [
"θ/2",
"cot θ/2",
"tan θ",
"cot θ"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_3_equation_35.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "60",
"question": "दिए गए भवन को पहचानें",
"options": [
"सिडनी ओपेरा हाउस",
"बहाई पूजा स्थल",
"गोगनहाइम संग्रहालय",
"कार्नक मंदिर"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_60_page13.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "37",
"question": "इस छवि में दिखाए गए f(x) का महत्तम मान है:",
"options": [
"1",
"\\(\\frac{2}{e}\\)",
"e",
"\\(\\frac{1}{e}\\)"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_3_equation_37.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "38",
"question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार, तब f(x) बराबर है:",
"options": [
"sin x",
"cos x",
"tan x",
"cot x"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_3_equation_38.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "39",
"question": "यदि इस छवि में दिखाए गए अभिव्यक्ति का मान \\( A \\cos 8x + k \\), जहाँ k कोई नियतांक (constant) है, तब A बराबर है:",
"options": [
"\\(\\frac{-1}{16}\\)",
"\\(\\frac{1}{16}\\)",
"\\(\\frac{1}{8}\\)",
"\\(\\frac{-1}{8}\\)"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_3_equation_39.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "40",
"question": "यदि P = इस छवि में दिखाए गए अभिव्यक्ति तथा Q = \\(\\int_{0}^{\\pi} f(cos^2 x) dx\\), तब",
"options": [
"image_UP_CET_2020_paper_3_equation_40_choice_0.png",
"image_UP_CET_2020_paper_3_equation_40_choice_1.png",
"image_UP_CET_2020_paper_3_equation_40_choice_2.png",
"image_UP_CET_2020_paper_3_equation_40_choice_3.png"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_3_equation_40.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "41",
"question": "रेखा x - y + 2 = 0 तथा वक्र इस छवि में दिखाए गए के बीच आने वाले क्षेत्र का क्षेत्रफल है:",
"options": [
"9",
"\\(\\frac{9}{2}\\)",
"\\(\\frac{10}{3}\\)",
"कोई नहीं"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_3_equation_41.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "42",
"question": "किसी अवकल समीकरण जिसका सामान्य हल इस छवि में दिखाया गया है, की कोटि (order) है:",
"options": [
"5",
"4",
"3",
"2"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_3_equation_42.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "14",
"question": "1 + 3/2! + 7/3! + 15/4! + -- का योग है -",
"options": [
"image_UP_CET_2020_paper_3_option_14_page5.png",
"image_UP_CET_2020_paper_3_option_14_page5_1.png",
"image_UP_CET_2020_paper_3_option_14_page5_2.png",
"image_UP_CET_2020_paper_3_option_14_page5_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "15",
"question": "श्रृंखला 1 + a+bx/1! + (a+bx)^2/2! + (a+bx)^3/3! + --- में x^n का गुणांक है:",
"options": [
"image_UP_CET_2020_paper_3_option_15_page5.png",
"image_UP_CET_2020_paper_3_option_15_page5_1.png",
"image_UP_CET_2020_paper_3_option_15_page5_2.png",
"image_UP_CET_2020_paper_3_option_15_page5_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "16",
"question": "इस छवि में दिखाए गए व्यंजक में पदों की संख्या है:",
"options": [
"10",
"7",
"13",
"15"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_3_equation_16.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "17",
"question": "यदि A और B इस प्रकार की 3x3 की आव्यूह हैं कि इस छवि में दिखाए गए समीकरण के अनुसार, तब",
"options": [
"image_UP_CET_2020_paper_3_equation_17_choice_0.png",
"image_UP_CET_2020_paper_3_equation_17_choice_1.png",
"image_UP_CET_2020_paper_3_equation_17_choice_2.png",
"image_UP_CET_2020_paper_3_equation_17_choice_3.png"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_3_equation_17.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "18",
"question": "यदि px^4 + qx^3 + rx^2 + sx + t = इस छवि में दिखाए गए अभिव्यक्ति के बराबर है जहाँ p, q, r, s तथा t अपरिवर्तनीय हैं, तब t बराबर है:",
"options": [
"0",
"1",
"-1",
"2"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_3_equation_18.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "64",
"question": "दर्शाए भवन को चिन्हित करे",
"options": [
"एलिफेंटा गुफा",
"अजंता गुफा",
"बादामी गुफा",
"भीम बैठका गुफा"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_64_page14.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "66",
"question": "चित्र में दिए भवन को पहचानिये",
"options": [
"बिग बेन लंदन",
"टाइम टावर न्यूयॉर्क",
"सियर्स टावर न्यूयॉर्क",
"राजाबाई टावर मुंबई"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_3_66_page14.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "96",
"question": "दर्शाये भवन को पहचानिये:",
"options": [
"आल सेंट्स कैथेड्रल, प्रयागराज",
"संत कैथेड्रल, गोवा",
"संत अलोयसियस चैपल, मंगलोर",
"यहूदी संग्रहालय, कोचीन"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_3_96_page22.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "01",
"question": "यदि a, b, c तथा d अपर्याप्त संख्याएँ हैं। यदि रेखाओं 4ax + 2by + c = 0 तथा 5bx + 2by + d = 0 रेखाओं का प्रतिच्छेदन बिंदु चौथे पाद (fourth quadrant) में है और अक्षों से समदूर पर है, तब",
"options": [
"image_UP_CET_2020_paper_3_option_1_page2.png",
"image_UP_CET_2020_paper_3_option_1_page2_1.png",
"image_UP_CET_2020_paper_3_option_1_page2_2.png",
"image_UP_CET_2020_paper_3_option_1_page2_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "02",
"question": "यदि रेखाएँ इस छवि में दिखाए गए समीकरण तथा \\((p^2 + 1)x + (p^2 + 1)y + 2q = 0\\) किसी एक रेखा पर लम्बवत होंगी।",
"options": [
"p के किसी मान के लिये नहीं",
"p के केवल एक मान के लिये",
"p के केवल दो मान के लिये",
"p के दो से अधिक मानों के लिये"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_equation_2.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "drawing aptitude",
"category_original_lang": "चित्रकला योग्यता",
"original_question_num": "80",
"question": "निम्न चित्र क्या दर्शाता है",
"options": [
"पत्थर की दीवार प्लान में",
"ईंट की दीवार एलिवेशन में",
"ईंट की दीवार प्लान में",
"पत्थर की दीवार का दृश्य"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_80_page18.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "81",
"question": "दिये गये उदाहरण को बताइये जो ? के स्थान पर आ सके",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_81_page18.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "82",
"question": "दर्शाए भवन को पहचानिये",
"options": [
"केदारनाथ मंदिर",
"कैलाश मंदिर",
"लिंगराज मंदिर",
"मीनाक्षी मंदिर"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_3_82_page18.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "83",
"question": "चित्र में वर्गों की संख्या बताइए",
"options": [
"a",
"b",
"c",
"d"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_3_83_page19.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "84",
"question": "विषम चित्र को चिन्हित करिये",
"options": [
"a",
"b",
"c",
"d"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_3_84_page19.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "85",
"question": "चित्र का सामने का दृश्य पहचानिये",
"options": [
"a",
"b",
"c",
"d"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_3_85_page19.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "05",
"question": "मान लीजिए परवलय \\( x^2 = 8y \\) जिसका शीर्ष (vertex) O है तथा Q कोई बिंदु है। यदि कोई बिंदु P रेखाखंड PQ को आंतरिक 1:3 के अनुपात में विभाजित करता है, तब P का बिंदु पथ है-",
"options": [
"image_UP_CET_2020_paper_3_option_5_page3.png",
"image_UP_CET_2020_paper_3_option_5_page3_1.png",
"image_UP_CET_2020_paper_3_option_5_page3_2.png",
"image_UP_CET_2020_paper_3_option_5_page3_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "07",
"question": "यदि एक दीर्घवृत्त (ellipse) जिसका केंद्र मूलबिंदु (origin) है, की विकेन्द्रता (eccentricity) \\( \\frac{1}{2} \\) है तथा निदेशिकाओं (directrices) में से एक निदेशिका \\( x = 4 \\) है, तब दीर्घवृत्त का समीकरण है:",
"options": [
"image_UP_CET_2020_paper_3_option_7_page3.png",
"image_UP_CET_2020_paper_3_option_7_page3_1.png",
"image_UP_CET_2020_paper_3_option_7_page3_2.png",
"image_UP_CET_2020_paper_3_option_7_page3_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "100",
"question": "चित्र की धारों की गिनती कीजिये",
"options": [
"32",
"16",
"26",
"24"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_3_100_page23.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "69",
"question": "? के स्थान पर क्या सही होगा",
"options": [
"A",
"B",
"C",
"D"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_3_69_page15.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "70",
"question": "चित्र का तीर की दिशा में सही दृश्य चिन्हित करे",
"options": [
"A",
"B",
"C",
"D"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_70_page15.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "71",
"question": "चित्र का तीर की दिशा में सही दृश्य चिन्हित करे",
"options": [
"A",
"B",
"C",
"D"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_71_page15.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "drawing aptitude",
"category_original_lang": "चित्रकला योग्यता",
"original_question_num": "72",
"question": "चित्र का तीर की दिशा में सही दृश्य चिन्हित करें",
"options": [
"A",
"B",
"C",
"D"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_72_page16.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "drawing aptitude",
"category_original_lang": "चित्रकला योग्यता",
"original_question_num": "73",
"question": "चित्र का तीर की दिशा में सही दृश्य चिन्हित करें",
"options": [
"A",
"B",
"C",
"D"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_3_73_page16.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "drawing aptitude",
"category_original_lang": "चित्रकला योग्यता",
"original_question_num": "74",
"question": "चित्र का तीर की दिशा में सही दृश्य चिन्हित करें",
"options": [
"A",
"B",
"C",
"D"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_74_page16.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "drawing aptitude",
"category_original_lang": "चित्रकला योग्यता",
"original_question_num": "75",
"question": "चित्र में त्रिकोणों की संख्या बताएं",
"options": [
"12",
"15",
"16",
"18"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_3_75_page16.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "87",
"question": "तीर हुई वस्तु तीर की दिशा से कैसी दिखेगी",
"options": [
"a",
"b",
"c",
"d"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_87_page20.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "88",
"question": "स्मारक को पहचानिये",
"options": [
"शिव मंदिर कांचीपुरम",
"नटराज मंदिर",
"कोणार्क सूर्य मंदिर",
"मोधेरा सूर्य मंदिर"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_3_88_page20.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "89",
"question": "चौथे चित्र (?) के स्थान पर क्या आएगा",
"options": [
"A",
"B",
"C",
"D"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_3_89_page20.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "90",
"question": "चित्र का तीर की दिशा में चिह्न बताएं",
"options": [
"a",
"b",
"c",
"d"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_3_90_page21.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "general knowledge",
"category_original_lang": "सामान्य ज्ञान",
"original_question_num": "92",
"question": "भवन को पहचानिये",
"options": [
"कल्पतरु अपार्टमेंट",
"कंचनजंगा अपार्टमेंट",
"लोढ़ा अपार्टमेंट",
"पीरामल टावर"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_92_page21.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "76",
"question": "चित्र में दिखाए ठोस की सतहें बताएं",
"options": [
"10",
"8",
"9",
"12"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_3_76_page17.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "77",
"question": "चित्रित आकार की धारें बताएं",
"options": [
"15",
"18",
"20",
"22"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_77_page17.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "reasoning",
"category_original_lang": "तर्कशक्ति",
"original_question_num": "79",
"question": "निम्न को बिंदु रेखा पर मोड़ने से क्या रूप निकलेगा",
"options": [
"A",
"B",
"C",
"D"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_3_79_page17.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "22",
"question": "यदि 60°, 60° तथा इस छवि में दिखाए गए रेडियन किसी चतुर्भुज के तीन कोण हैं, तब उसका चौथा कोण है:",
"options": [
"60°",
"96°",
"96⁰",
"इनमें से कोई नहीं"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_equation_22.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "23",
"question": "अन्तराल \\((-π/2, π/2)\\) में छवि में दिखाए गए समीकरण के मूलों की संख्या है:",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_equation_23.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "43",
"question": "यदि अवकलन समीकरण इस छवि में दिखाए गए समीकरण का हल किसी वृत्त को निरूपित (represent) करता है, तब",
"options": [
"\\(a = b\\)",
"\\(a = -b\\)",
"\\(a = 2b\\)",
"\\(a = -2b\\)"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_equation_43.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "45",
"question": "यदि दो घटनाएँ A और B इस प्रकार घटित होती हैं कि, \\(0 < P(A), P(B) < 1\\), तब इस छवि में दिखाए गए अभिव्यक्ति का मान बराबर है:",
"options": [
"1",
"\\(\\frac{3}{2}\\)",
"\\(\\frac{1}{2}\\)",
"इनमें से कोई नहीं"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_3_equation_45.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "48",
"question": "यदि तीन सदिशों \\(\\vec{a}, \\vec{b}\\) तथा \\(\\vec{c}\\) जिनका परिमाण क्रमशः 3, 4 तथा 5 है और इस छवि में दिखाए गए समीकरण के अनुसार, तब \\(\\vec{a} \\cdot \\vec{b} + \\vec{b} \\cdot \\vec{c} + \\vec{c} \\cdot \\vec{a}\\) का मान है",
"options": [
"-23",
"-25",
"30",
"26"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_equation_48.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "49",
"question": "यदि इस छवि में दिखाए गए सम्बन्ध तीन अशून्य सदिशों के बीच है, तब \\(\\vec{a}\\) तथा \\(\\vec{c}\\) के बीच का कोण है:",
"options": [
"\\(\\pi\\)",
"0",
"\\(\\frac{\\pi}{4}\\)",
"\\(\\frac{\\pi}{2}\\)"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_3_equation_49.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "50",
"question": "यदि इस छवि में दिखाए गए \\(\\vec{P}, \\vec{Q}, \\vec{R}\\) तथा \\(\\vec{S}\\) के स्थानिक सदिश (position vectors) क्रमशः \\(\\vec{P} = 2 \\hat{i} + \\hat{j}, \\vec{Q} = \\hat{i} - 3 \\hat{j}, \\vec{R} = 3 \\hat{i} + 2 \\hat{j}\\) तथा \\(\\vec{S} = \\hat{i} + \\mu \\hat{j}\\) है और \\(\\vec{P} \\vec{Q} \\parallel \\vec{R} \\vec{S}\\), तब \\(\\mu\\) का मान है।",
"options": [
"-7",
"7",
"-6",
"6"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_3_equation_50.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "26",
"question": "वक्रों इस छवि में दिखाए गए समीकरण तथा x = 0 द्वारा परिबद्ध क्षेत्रफल है:",
"options": [
"1/4",
"1/2",
"1",
"2"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_3_equation_26.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "28",
"question": "वक्र x = 7 + 4 cos α तथा y = -3 + 4 sin α का कार्तीय समीकरण है:",
"options": [
"image_UP_CET_2020_paper_3_option_28_page7.png",
"image_UP_CET_2020_paper_3_option_28_page7_1.png",
"image_UP_CET_2020_paper_3_option_28_page7_2.png",
"image_UP_CET_2020_paper_3_option_28_page7_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "29",
"question": "इस छवि में दिखाए गए वृत पर बिन्दु (3, -2) से कितनी स्पर्श रेखाएँ खींची जा सकती हैं?",
"options": [
"2",
"1",
"0",
"इनमें से कोई नहीं"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_3_equation_29.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_3",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-3-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "30",
"question": "यदि दीर्घवृत्त इस छवि में दिखाए गए पर कोई बिन्दु P है और दीर्घवृत्त की नाभियाँ (foci) S तथा S' हैं, तब PS + PS' है:",
"options": [
"8",
"7",
"5",
"10"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_3_equation_30.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "058",
"question": "एक प्रकाश की किरण जिसका समीकरण x+√3 y=√3 है, x-अक्ष पर पहुँच कर परावर्तित होती है, परावर्तित किरण का समीकरण है:",
"options": [
"image_UP_CET_2020_paper_5_option_58_page13.png",
"image_UP_CET_2020_paper_5_option_58_page13_1.png",
"image_UP_CET_2020_paper_5_option_58_page13_2.png",
"image_UP_CET_2020_paper_5_option_58_page13_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "060",
"question": "एक सीधी रेखा जो कि बिन्दु A(3, 4) से होकर इस प्रकार गुजरती है कि उसके अंशों की बीच की अंतःखण्ड बिन्दु A पर सममात्रिक होता है। इस रेखा का समीकरण है:",
"options": [
"image_UP_CET_2020_paper_5_option_60_page13.png",
"image_UP_CET_2020_paper_5_option_60_page13_1.png",
"image_UP_CET_2020_paper_5_option_60_page13_2.png",
"image_UP_CET_2020_paper_5_option_60_page13_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "062",
"question": "इस छवि में दिखाए गए वृत्त पर स्थित बिन्दु P(1, 0) का ठीक विपरीत (diametrically) बिन्दु है:",
"options": [
"(3, -4)",
"(-3, 4)",
"(-3, -4)",
"(3, 4)"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_5_equation_62.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "004",
"question": "यदि g फलन f का व्युत्क्रम (inverse) है तथा f'(x)= 1/(1+x^2) है तब g'(x) बराबर होगा",
"options": [
"image_UP_CET_2020_paper_5_option_4_page3.png",
"image_UP_CET_2020_paper_5_option_4_page3_1.png",
"image_UP_CET_2020_paper_5_option_4_page3_2.png",
"image_UP_CET_2020_paper_5_option_4_page3_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "005",
"question": "यदि फलन y=f(x) का आलेख रेखा x=2 के सापेक्ष (about) सममित (symmetric) है, तो",
"options": [
"image_UP_CET_2020_paper_5_option_5_page3.png",
"image_UP_CET_2020_paper_5_option_5_page3_1.png",
"image_UP_CET_2020_paper_5_option_5_page3_2.png",
"image_UP_CET_2020_paper_5_option_5_page3_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "007",
"question": "छवि में दिखाए गए अभिव्यक्ति का मान है।",
"options": [
"π/2",
"1",
"-π",
"π"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_5_equation_7.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "008",
"question": "यदि इस छवि में दिखाए गए सीमा का मान k है, तब k का मान है?",
"options": [
"0",
"-1/3",
"2/3",
"-2/3"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_5_equation_8.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "009",
"question": "x-अक्ष के समानांतर, इस छवि में दिखाए गए वक्र की स्पर्श रेखा का समीकरण है।",
"options": [
"image_UP_CET_2020_paper_5_equation_9_choice_0.png",
"image_UP_CET_2020_paper_5_equation_9_choice_1.png",
"image_UP_CET_2020_paper_5_equation_9_choice_2.png",
"image_UP_CET_2020_paper_5_equation_9_choice_3.png"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_5_equation_9.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "052",
"question": "मान लीजिए कि \\(\\vec{a}, \\vec{b}, \\vec{c}\\) तीन अशून्य सदिश हैं, यदि \\(\\vec{a} + 3\\vec{b}\\), \\(\\vec{c}\\) के साथ सह रेखीय (collinear) है और \\(\\vec{b} + 2\\vec{c}\\), \\(\\vec{a}\\) के साथ सह रेखीय (collinear) है, तब इस छवि में दिखाए गए सदिश का मान है।",
"options": [
"\\(\\vec{0}\\)",
"\\(\\vec{a} + \\vec{c}\\)",
"\\(\\vec{a}\\)",
"\\(\\vec{c}\\)"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_5_equation_52.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "055",
"question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार, जहाँ \\(\\vec{a}, \\vec{b}\\) तथा \\(\\vec{c}\\) कोई तीन सदिश इस प्रकार हैं कि \\(\\vec{a} \\cdot \\vec{b} \\neq 0, \\vec{b} \\cdot \\vec{c} \\neq 0\\), तब \\(\\vec{a}\\) तथा \\(\\vec{c}\\) हैं।",
"options": [
"के बीच का कोण \\(\\frac{\\pi}{3}\\) है",
"लम्बवत हैं",
"समानान्तर हैं",
"इनमें से कोई नहीं"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_5_equation_55.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "010",
"question": "एक फलन \\(y=f(x)\\) जिसका द्वितीय कोटि का अवकलन इस छवि में दिखाए गए समीकरण के बराबर है। यदि इसका आलेख बिंदु (2, 1) से गुजरता है तथा इस बिंदु पर आलेख की स्पर्श रेखा का समीकरण \\(y=3x-5\\) है, तब फलन है।",
"options": [
"\\((x-1)^2\\)",
"\\((x-1)^3\\)",
"\\((x+1)^3\\)",
"\\((x+1)^2\\)"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_5_equation_10.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "011",
"question": "समाकलन \\(\\int \\frac{dx}{x^2(x^4+1)^{\\frac{3}{4}}}\\) बराबर है",
"options": [
"image_UP_CET_2020_paper_5_option_11_page4.png",
"image_UP_CET_2020_paper_5_option_11_page4_1.png",
"image_UP_CET_2020_paper_5_option_11_page4_2.png",
"image_UP_CET_2020_paper_5_option_11_page4_3.png"
],
"answer": 2,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "012",
"question": "इस छवि में दिखाए गए अभिव्यक्ति का मान क्या है?",
"options": [
"\\(e-1\\)",
"\\(e+1\\)",
"\\(1-e\\)",
"\\(e\\)"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_5_equation_12.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "013",
"question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार, तब A बराबर है",
"options": [
"\\(\\pi\\)",
"\\(0\\)",
"\\(2\\pi\\)",
"\\(\\pi/2\\)"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_5_equation_13.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "014",
"question": "वक्रों (curves) इस छवि में दिखाए गए, \\(x=1\\), \\(x=3\\) तथा \\(x\\)-अक्ष से घिरे हुए क्षेत्र का क्षेत्रफल है।",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_5_equation_14.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "032",
"question": "यदि A=[a b/b a] तथा A²=[α β/β α], तब",
"options": [
"image_UP_CET_2020_paper_5_option_32_page8.png",
"image_UP_CET_2020_paper_5_option_32_page8_1.png",
"image_UP_CET_2020_paper_5_option_32_page8_2.png",
"image_UP_CET_2020_paper_5_option_32_page8_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "033",
"question": "मान इस छवि में दिखाए गए आव्यूह के बारे में केवल सही कथन (statement) है:",
"options": [
"A एक शून्य आव्यूह है",
"A²=I",
"A¹ अस्तित्व में नहीं है",
"A=(−1)I, जहाँ I एकक आव्यूह (unit matrix) है।"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_5_equation_33.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "069",
"question": "एक दीर्घवृत्त जिसका केन्द्र मूलबिन्दु (origin) है, की विकेन्द्रता (eccentricity) 1/2 है। यदि x = 4 इसकी कोई एक नियता (directrix) है, तब दीर्घवृत्त का समीकरण है:",
"options": [
"image_UP_CET_2020_paper_5_option_69_page15.png",
"image_UP_CET_2020_paper_5_option_69_page15_1.png",
"image_UP_CET_2020_paper_5_option_69_page15_2.png",
"image_UP_CET_2020_paper_5_option_69_page15_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "070",
"question": "अतिपरवलय (hyperbola) जिसके नाभियों (foci) (-2, 0) तथा (2, 0) की विकेन्द्रता (eccentricity) 2 है, का समीकरण है:",
"options": [
"image_UP_CET_2020_paper_5_option_70_page15.png",
"image_UP_CET_2020_paper_5_option_70_page15_1.png",
"image_UP_CET_2020_paper_5_option_70_page15_2.png",
"image_UP_CET_2020_paper_5_option_70_page15_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "063",
"question": "वृत्त \\(x^2 + y^2 - 2x = 0\\) पर रेखा \\(y = x\\) का अंतः खंड AB है। वृत्त जिसका व्यास AB हो का समीकरण है:",
"options": [
"image_UP_CET_2020_paper_5_option_63_page14.png",
"image_UP_CET_2020_paper_5_option_63_page14_1.png",
"image_UP_CET_2020_paper_5_option_63_page14_2.png",
"image_UP_CET_2020_paper_5_option_63_page14_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "064",
"question": "यदि दो वृत्त इस छवि में दिखाए गए समीकरण तथा \\(x^2 + y^2 - 8x + 2y + 8 = 0\\) विभिन्न बिंदुओं पर प्रतिच्छेद (intersect) करते हैं, तब",
"options": [
"\\(2 < r < 8\\)",
"\\(r < 2\\)",
"\\(r = 2\\)",
"इनमें से कोई नहीं"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_5_equation_64.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "065",
"question": "माना कि किसी परवलय इस छवि में दिखाए गए समीकरण का शीर्ष (vertex) O है तथा Q परवलय पर कोई बिंदु है। यदि बिंदु P रेखा OQ के अंतःखण्ड को 1:3 के अनुपात में विभाजित करता है, तब बिंदु P का बिंदुपथ (locus) है:",
"options": [
"image_UP_CET_2020_paper_5_equation_65_choice_0.png",
"image_UP_CET_2020_paper_5_equation_65_choice_1.png",
"image_UP_CET_2020_paper_5_equation_65_choice_2.png",
"image_UP_CET_2020_paper_5_equation_65_choice_3.png"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_5_equation_65.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "066",
"question": "परवलय \\(y^2 = 4x\\) पर बिंदु P से खींची गई दो स्पर्श रेखाओं के बीच का कोण समकोण है, तब बिंदु P का बिंदुपथ (locus) है:",
"options": [
"image_UP_CET_2020_paper_5_option_66_page14.png",
"image_UP_CET_2020_paper_5_option_66_page14_1.png",
"image_UP_CET_2020_paper_5_option_66_page14_2.png",
"image_UP_CET_2020_paper_5_option_66_page14_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "067",
"question": "एक परवलय जिसकी नाभि (focus) मूल बिंदु (origin) तथा निदेशिका (directrix) रेखा इस छवि में दिखाए गए समीकरण के अनुसार है परवलय का शीर्ष बिंदु (vertex) है:",
"options": [
"(0, 2)",
"(1, 0)",
"(0, 1)",
"(2, 0)"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_5_equation_67.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "039",
"question": "यदि A, B, C इस प्रकार की परस्पर अपवर्ती घटनाएँ (mutually exclusive events) हैं कि इस छवि में दिखाए गए P(A), P(B) तथा P(C) के मान दिए गए हैं, तब x के सम्भावित मानों के समुच्चय का अंतराल (interval) है:",
"options": [
"[1/3, 1/2]",
"[1/3, 3/4]",
"[1/3, 1/3]",
"[0, 1]"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_5_equation_39.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "040",
"question": "1/2! + 1/4! + 1/6! + ------ श्रेणी का योग है:",
"options": [
"image_UP_CET_2020_paper_5_option_40_page9.png",
"image_UP_CET_2020_paper_5_option_40_page9_1.png",
"image_UP_CET_2020_paper_5_option_40_page9_2.png",
"image_UP_CET_2020_paper_5_option_40_page9_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "015",
"question": "वक्रों (curves) इस छवि में दिखाए गए समीकरणों से घिरा हुआ क्षेत्रफल है।",
"options": [
"8/3",
"0",
"32/3",
"16/3"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_5_equation_15.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "016",
"question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार y(0)=1 है, तब y(π/2) बराबर है:",
"options": [
"1",
"-2/3",
"-1/3",
"4/3"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_5_equation_16.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "017",
"question": "यदि चक्र \\( y=f(x) \\) बिन्दु (+1, -1) से गुजरता है तथा अवकल समीकरण इस छवि में दिखाए गए समीकरण को संतुष्ट करता है, तब \\(\\int(1/2)\\) बराबर है:",
"options": [
"-4/5",
"2/5",
"4/5",
"-2/5"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_5_equation_17.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "018",
"question": "यदि छवि में दिखाए गए समीकरण तथा ax²+bx+c=0, a, b, c∈R के मूल समान (common) हैं, तब a:b:c है।",
"options": [
"1:2:3",
"1:3:2",
"3:1:2",
"3:2:1"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_5_equation_18.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "019",
"question": "यदि p तथा q (p≠q) समीकरण इस छवि में दिखाए गए समीकरण के मूल हैं, तब",
"options": [
"image_UP_CET_2020_paper_5_equation_19_choice_0.png",
"image_UP_CET_2020_paper_5_equation_19_choice_1.png",
"image_UP_CET_2020_paper_5_equation_19_choice_2.png",
"image_UP_CET_2020_paper_5_equation_19_choice_3.png"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_5_equation_19.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "021",
"question": "यदि p तथा q इस प्रकार की समानक वास्तविक संख्याएँ हैं कि इस छवि में दिखाए गए समीकरण को संतुष्ट करते हैं, तब (p+q) का अधिकतम मान है:",
"options": [
"2",
"1/2",
"1/√2",
"√2"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_5_equation_21.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "022",
"question": "यदि एक गुणोत्तर श्रेणी (GP) का पाँचवां पद इस छवि में दिखाए गए अनुसार है, तब इसके 9 पदों का गुणनफल है",
"options": [
"256",
"512",
"1024",
"इनमें से कोई नहीं"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_5_equation_22.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "023",
"question": "माना इस छवि में दिखाए गए f(x), यदि f(1)=f(-1) तथा a,b,c समान्तर श्रेणी में हैं, तब f'(a), f'(b) तथा f'(c) हैं",
"options": [
"गुणोत्तर श्रेणी (GP) में",
"समान्तर श्रेणी (AP) में",
"हर्मोनिक श्रेणी (HP) में",
"इनमें से कोई नहीं"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_5_equation_23.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "024",
"question": "यदि एक द्विपदविस्तार (binomial expression) (a-b)^n, n≥5 के पाँचवे तथा छठवें पदों का योग शून्य है, तब a/b बराबर है",
"options": [
"image_UP_CET_2020_paper_5_option_24_page6.png",
"image_UP_CET_2020_paper_5_option_24_page6_1.png",
"image_UP_CET_2020_paper_5_option_24_page6_2.png",
"image_UP_CET_2020_paper_5_option_24_page6_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "025",
"question": "इस छवि में दिखाए गए श्रेणी का योग है।",
"options": [
"-20C10",
"1/2 20C10",
"0",
"20C10"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_5_equation_25.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "computer concepts",
"category_original_lang": "कंप्यूटर अवधारणाएँ",
"original_question_num": "095",
"question": "निम्नलिखित चित्र में इंगित किये गये लॉजिक फंक्शन को चिन्हित करें",
"options": [
"Exclusive OR",
"Exclusive NOR",
"NAND",
"NOR"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_5_95_page21.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "073",
"question": "एक बिन्दु कण एक सरल रेखा में इस छवि में दिखाए गए समीकरण के अनुसार गति कर रहा है जहाँ t समय है। तब कण के त्वरण का वेग के घन के साथ अनुपात होगा।",
"options": [
"–1",
"–2",
"–3",
"इसमें से कोई नहीं"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_5_equation_73.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "074",
"question": "एक कण का विस्थापन समीकरण इस छवि में दिखाया गया है। जब इसका वेग 5m/sec. हो जाता है तब इस क्षण त्वरण होगा:",
"options": [
"3m/sec²",
"8m/sec²",
"7m/sec²",
"10m/sec²"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_5_equation_74.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "physics",
"category_original_lang": "भौतिकी",
"original_question_num": "075",
"question": "एक तल में गतिमान एक बिन्दु कण का t समय पर निर्देशांक, इस छवि में दिखाए गए समीकरण के अनुसार है, तो कण के त्वरण का परिमाण होगा",
"options": [
"α",
"2α",
"\\( \\sqrt{3} α \\)",
"\\( \\frac{\\sqrt{3}}{2} α \\)"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_5_equation_75.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "027",
"question": "यदि इस छवि में दिखाए गए अभिव्यक्ति के अनुसार, तब |z+1| का अधिकतम मान है-",
"options": [
"4",
"10",
"6",
"0"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_5_equation_27.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "028",
"question": "यदि इस छवि में दिखाए गए अभिव्यक्ति का मान 1 है, तब",
"options": [
"image_UP_CET_2020_paper_5_equation_28_choice_0.png",
"image_UP_CET_2020_paper_5_equation_28_choice_1.png",
"image_UP_CET_2020_paper_5_equation_28_choice_2.png",
"image_UP_CET_2020_paper_5_equation_28_choice_3.png"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_5_equation_28.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "029",
"question": "रेखीय समीकरणों के निकाय इस छवि में दिखाए गए समीकरण का अतासामान्य (non-trivial) समाधान होगा।",
"options": [
"λ के केवल एक मान के लिये",
"λ के केवल दो मान के लिये",
"λ के केवल तीन मान के लिये",
"λ के अनंत मान के लिये"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_5_equation_29.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "030",
"question": "यदि रेखीय समीकरणों के निकाय का एक असामान्य हल (non-zero) है, तब a,b,c हैं।",
"options": [
"समान्तर श्रेणी में",
"हमसदृश श्रेणी में",
"गुणोत्तर श्रेणी में",
"इनमें से कोई नहीं"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_5_equation_30.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "047",
"question": "किसी \\(0<\\alpha<\\pi/2\\) के लिये \\( \\sin\\alpha, \\cos\\alpha \\) तथा इस छवि में दिखाए गए त्रिभुज की भुजायें हैं, तब उसका सबसे बड़ा कोण है-",
"options": [
"60°",
"90°",
"120°",
"150°"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_5_equation_47.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "049",
"question": "माना AB एक ऊर्ध्व दुर्ग है जिसका एक सिरा जमीन पर है। यदि AB का मध्य बिन्दु C है और P जमीन पर कोई बिन्दु इस प्रकार है कि AP=2AB. तब इस छवि में दिखाए गए का मान होगा, जहाँ ∠BPC=β",
"options": [
"7/6",
"1/4",
"2/9",
"4/9"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_5_equation_49.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "051",
"question": "माना की a, b तथा c तीन प्रकार के एकक सदिश हैं कि इस छवि में दिखाए गए समीकरण के अनुसार। यदि b, c के समान्तर नहीं है तो a और c के बीच का कोण है:",
"options": [
"π/2",
"2π/3",
"5π/6",
"3π/4"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_5_equation_51.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "041",
"question": "इस छवि में दिखाए गए योग का मान क्या है?",
"options": [
"2 log_e 2",
"2(log_2 2) - 1",
"log_e 2",
"log_e (4/e)"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_5_equation_41.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "042",
"question": "व्यंजक tan A / (1 - cot A) + cot A / (1 - tan A) को इस प्रकार लिखा जा सकता है:",
"options": [
"image_UP_CET_2020_paper_5_option_42_page10.png",
"image_UP_CET_2020_paper_5_option_42_page10_1.png",
"image_UP_CET_2020_paper_5_option_42_page10_2.png",
"image_UP_CET_2020_paper_5_option_42_page10_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "044",
"question": "इस छवि में दिखाए गए समीकरण को संतुष्ट करने वाले x के मानों की संख्या अंतराल [0, 3π] में है।",
"options": [
"4",
"6",
"1",
"2"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_5_equation_44.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "045",
"question": "इस छवि में दिखाए गए समिकरण के [0, 2π] में हलों की संख्या है।",
"options": [
"2",
"3",
"0",
"1"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_5_equation_45.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_5",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-5-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "046",
"question": "इस छवि में दिखाए गए समीकरण के अनुसार, x का मान है।",
"options": [
"1",
"3",
"4",
"5"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_5_equation_46.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "026",
"question": "नीचे दिए गये आलेख में कोण 'x' का मान क्या है?",
"options": [
"60°",
"50°",
"40°",
"30°"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_6_26_page5.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "027",
"question": "यदि i = √-1, तब इस छवि में दिखाए गए अभिव्यक्ति का मान है:",
"options": [
"-1",
"-2",
"-3",
"-4"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_6_equation_27.png",
"image_information": "essential",
"image_type": "scientific formula",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "030",
"question": "यदि secθ + tanθ = P, तब tanθ बराबर है:",
"options": [
"image_UP_CET_2020_paper_6_option_30_page5.png",
"image_UP_CET_2020_paper_6_option_30_page5_1.png",
"image_UP_CET_2020_paper_6_option_30_page5_2.png",
"image_UP_CET_2020_paper_6_option_30_page5_3.png"
],
"answer": 3,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "048",
"question": "दोनों वर्षों के लिये, शाखा B2 की कुल बिक्री और शाखा B4 की कुल बिक्री का अनुपात क्या है?",
"options": [
"2:3",
"3:5",
"4:5",
"7:9"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_6_48_page11.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "049",
"question": "दोनों वर्षों के लिये शाखा B6 की कुल बिक्री शाखा B3 की कुल बिक्री का कितना प्रतिशत है?",
"options": [
"68.54%",
"71.11%",
"73.17%",
"75.55%"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_6_49_page11.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "050",
"question": "वर्ष 2000 में B1, B3 और B6 शाखाओं की औसत बिक्री, वर्ष 2001 में B1, B2 और B3 शाखाओं की औसत बिक्री का कितना प्रतिशत है?",
"options": [
"75%",
"77.5%",
"82.5%",
"87.5%"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_6_50_page11.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "042",
"question": "प्रति वर्ष की औसत ब्याज की राशि क्या है जो कम्पनी ने वर्ष 1998-2002 की अवधि के दौरान चुकाया की थी?",
"options": [
"32.43",
"33.72",
"34.18",
"36.66"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_6_42_page9.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "043",
"question": "वर्ष 1998-2002 की अवधि के दौरान कम्पनी द्वारा दिये गए बोनस की कुल राशि लगभग इस अवधि के दौरान दिये गये वेतन की कुल राशि का कितना प्रतिशत है?",
"options": [
"0.1%",
"0.5%",
"1.0%",
"1.25%"
],
"answer": 1,
"image_png": "image_UP_CET_2020_paper_6_43_page9.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "044",
"question": "वर्ष 1998 में सभी मदों पर कुल व्यय, वर्ष 2002 में कुल व्यय का लगभग कितना प्रतिशत था?",
"options": [
"62%",
"66%",
"69%",
"71%"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_6_44_page9.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "045",
"question": "यदि कुल खर्च रु. 50,000 करोड़ है तो राजमार्गों पर कितना खर्च किया गया?",
"options": [
"रु. 3,500 करोड़",
"रु. 22,500 करोड़",
"रु. 15,000 करोड़",
"रु. 20,000 करोड़"
],
"answer": 3,
"image_png": "image_UP_CET_2020_paper_6_45_page10.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "046",
"question": "राजमार्गों पर खर्च होने वाली राशि का लगभग कितना गुणा शिक्षा पर खर्च किया जाता है?",
"options": [
"10",
"3",
"5",
"15"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_6_46_page10.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "numerical ability",
"category_original_lang": "संख्यात्मक क्षमता",
"original_question_num": "047",
"question": "राजमार्गों और लोक कल्याण पर कुल खर्च का लगभग कितना हिस्सा संयुक्त रूप से खर्च किया जाता है?",
"options": [
"2/5",
"1/5",
"1/2",
"2/3"
],
"answer": 0,
"image_png": "image_UP_CET_2020_paper_6_47_page10.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "036",
"question": "नीचे दी गई आकृति में, AB||CD, 't' एक अनुप्रस्थ रेखा है। EG और FG क्रमशः ∠BEF तथा ∠DFE के अर्धक कोण हैं, तब निम्न में कौन सत्य है:",
"options": [
"FG² + GE² < FE²",
"FG² + GE² = FE²",
"FG² + GE² > FE²",
"इनमें से कोई नहीं"
],
"answer": 2,
"image_png": "image_UP_CET_2020_paper_6_36_page7.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "037",
"question": "निम्न में कौन सा कथन असत्य है:",
"options": [
"image_UP_CET_2020_paper_6_equation_37_choice_0.png",
"image_UP_CET_2020_paper_6_equation_37_choice_1.png",
"image_UP_CET_2020_paper_6_equation_37_choice_2.png",
"image_UP_CET_2020_paper_6_equation_37_choice_3.png"
],
"answer": 1,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
},
{
"language": "hi",
"country": "India",
"file_name": "2020_paper_6",
"source": "https://collegedunia.com/news/e-954-upcet-2020-paper-6-code-aa-question-paper-with-answer-key-pdfs-september-20",
"license": "unknown",
"level": "University Entrance",
"category_en": "maths",
"category_original_lang": "गणित",
"original_question_num": "032",
"question": "समीकरण tanθ + tan 2θ + √3 tan θ tan 2θ = √3 का व्यापक हल होगा",
"options": [
"image_UP_CET_2020_paper_6_option_32_page6.png",
"image_UP_CET_2020_paper_6_option_32_page6_1.png",
"image_UP_CET_2020_paper_6_option_32_page6_2.png",
"image_UP_CET_2020_paper_6_option_32_page6_3.png"
],
"answer": 0,
"image_png": null,
"image_information": null,
"image_type": null,
"parallel_question_id": null
}
]