# questions

tags: ['Biology', 'Ecosystem']
options: None
correct_option: None
answer: <div class="solution">(d)</div>
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-has-the-largest-population-in-a-food-chain-a-producers-b-primary-consumers-c-secondary-consumers-d-decomposers

slug:
which-one-of-the-following-has-the-largest-population-in-a-food-chain-a-producers-b-primary-consumers-c-secondary-consumers-d-decomposers-35720

question:
<div class="question">Which one of the following has the largest population in a food chain?<br/>(a) Producers<br/>(b) Primary consumers<br/>(c) Secondary consumers<br/>(d) Decomposers</div>


title: which-one-of-the-following-has-the-largest-population-in-a-food-chain
slug: which-one-of-the-following-has-the-largest-population-in-a-food-chain-17651
question: <div class="question">Which one of the following has the largest population in a food chain?</div>
tags: ['Biology', 'Ecosystem', 'NEET']
answer: <div class="solution">Decomposers form the largest population in food chain.</div>
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Producers</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Primary consumers</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Secondary consumers</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Decomposers</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Decomposers</span> </div>


title: which-one-of-the-following-is-a-linear-differential-equation
slug: which-one-of-the-following-is-a-linear-differential-equation-36639
question: <div class="question">Which one of the following is a linear differential equation?</div>
tags: ['Mathematics', 'Differential Equations', 'AP EAMCET', 'AP EAMCET 2023 (18 May Shift 1)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\frac{d x}{d y}+y^2=e^{e^x}$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$d r+\left(2 r^2 \cot \theta+\sin 2 \theta\right) d \theta=0$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\frac{d y}{d x}=e^{x-y}\left(e^x-e^{-y}\right)$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">$x^2 d y+x y d x-1=0$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$x^2 d y+x y d x-1=0$</span> </div>

answer:
<div class="solution">The standard form of linear differential equation is<br/>$P \frac{d y}{d x}+Q y=R$ or $P \frac{d x}{d y}+Q x=R$ where $P, Q$ and $R$ are the function of $x$ only.<br/>Option (d) can be written as<br/>$\begin{aligned} &amp; x^2 d y+x y d x-d x=0 \\ &amp; x^2 \frac{d y}{d x}+x y-1=0 \\ &amp; \Rightarrow x^2 \frac{d y}{d x}+x y=1\end{aligned}$<br/>Which follows the standard form of linear differential equation.</div>


title: which-one-of-the-following-is-a-measure-of-dispersion
slug: which-one-of-the-following-is-a-measure-of-dispersion-31198
question: <div class="question">Which one of the following is a measure of dispersion?</div>
tags: ['Mathematics', 'Statistics', 'NDA', 'NDA 2012 (Phase 2)']
answer: <div class="solution">Standard Deviation is a measure of dispersion.</div>
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Mean</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Median $\quad$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Mode</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Standard deviation</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Standard deviation</span> </div>


title: which-one-of-the-following-is-a-null-set
slug: which-one-of-the-following-is-a-null-set-67798
question: <div class="question">Which one of the following is a null set?</div>
tags: ['Mathematics', 'Sets and Relations', 'NDA', 'NDA 2013 (Phase 1)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\{0\}$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\{\{f\}\}$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\{\{\}\}$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">$\left\{x \mid x^{2}+1=0, x \in R\right\}$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\left\{x \mid x^{2}+1=0, x \in R\right\}$</span> </div>

answer:
<div class="solution">Consider the set given in option 'd' $\left\{\mathrm{x} \mid \mathrm{x}^{2}+1=0, \mathrm{x} \in \mathrm{R}\right\}$<br/>Let $\mathrm{x}^{2}+1=0 \Rightarrow \mathrm{x}^{2}=-1 \Rightarrow \mathrm{x}=\pm \mathrm{i}$ which iscomplex<br/>But $\mathrm{x} \in \mathrm{R}$. Hence for, any $\mathrm{x} \in \mathrm{R}, \mathrm{x}^{2}+1$ can not be zero</div>


title: which-one-of-the-following-is-a-pair-of-endangered-species
slug: which-one-of-the-following-is-a-pair-of-endangered-species-85783
question: <div class="question">Which one of the following is a pair of endangered species?</div>
tags: ['Biology', 'Biodiversity and its Conservation', 'AIIMS', 'AIIMS 2004']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Garden lizard and Mexican poppy</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Rhesus monkey and Sal tree</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Indian peacock and carrot grass</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Hornbill and Indian aconite</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Hornbill and Indian aconite</span> </div>

answer:
<div class="solution">The species or taxa, which are in dangers of extinction and which may not survive if the adverse factors continue to operate or the species whose numbers have been reduced to a critical level or their habitats have been drastically reduced in such a way that they are in instant danger of extinction are called endangered species. In India, aconite and horn bill are endangered species.</div>


tags: ['Biology', 'Breathing and Exchange of Gases', 'NEET', 'NEET 2011 (Mains)']
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-is-a-possibility-for-most-of-us-in-regard-to-breathing-by-making-a-conscious-effort-1

slug:
which-one-of-the-following-is-a-possibility-for-most-of-us-in-regard-to-breathing-by-making-a-conscious-effort-1-67817

question:
<div class="question">Which one of the following is a possibility for most of us in regard to breathing, by making a conscious effort?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">One can breathe out air totally without oxygen</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">One can breathe out air through eustachian tubes by closing both the nose and the mouth</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">One can consiously breathe in and breathe out by moving the diaphragm alone, without moving the ribs at all</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">The lungs can be made fully empty by forcefully breathing out all air from them</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">One can consiously breathe in and breathe out by moving the diaphragm alone, without moving the ribs at all</span> </div>

answer:
<div class="solution">The process of breathing involves the pathway of the human respiratory system and includes the nasal cavities, oral cavities, pharynx, trachea, primary bronchi, secondary bronchi and lungs with bronchioles and alveoli present. Breathing is a 2-fold process which includes breathing in and breathing out. During this process, the diaphragm which is the dome-shaped sheet of muscle located below the lungs contracts and expands along with the intercostal muscles to force air in and out of the lungs. Since intercostal muscles are also involved in the process of respiration, deeper respiration results in the movement of ribs too. Hence most of us can consciously breathe in and breathe out by moving the diaphragm alone.</div>


title: which-one-of-the-following-is-a-secondary-alcohol-1
slug: which-one-of-the-following-is-a-secondary-alcohol-1-85394
question: <div class="question">Which one of the following is a secondary alcohol?</div>
tags: ['Chemistry', 'General Organic Chemistry', 'TS EAMCET', 'TS EAMCET 2004']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">2-methyl-1 propanol</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">2-methyl-2 propanol</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">2-butanol</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">1-butanol</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">2-butanol</span> </div>

answer:
<div class="solution">2- butanol has following structure<br/><img src="https://cdn-question-pool.getmarks.app/pyq/ts_eamcet/fdPku6bLpTXjFMgRSeUTf6ehRNRGZzfG4HHjlo4J1Xg.original.fullsize.png"/><br/></div>


title: which-one-of-the-following-is-a-secondary-alcohol-2
slug: which-one-of-the-following-is-a-secondary-alcohol-2-32010
question: <div class="question">Which one of the following is a secondary alcohol?</div>
tags: ['Chemistry', 'General Organic Chemistry', 'AP EAMCET', 'AP EAMCET 2002']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">2-methyl-2-propanol</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">1-propanol</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">1-butanol</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">2-pentanol</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">2-pentanol</span> </div>

answer:
<div class="solution"><img src="https://cdn-question-pool.getmarks.app/pyq/ap_eamcet/UKNrVAKJ94srBByFxW_oBhW735MyQv9csF-_79dM3Qs.original.fullsize.png"/><br/></div>


title: which-one-of-the-following-is-a-secondary-alcohol-3
slug: which-one-of-the-following-is-a-secondary-alcohol-3-94788
question: <div class="question">Which one of the following is a secondary alcohol?</div>
tags: ['Chemistry', 'General Organic Chemistry', 'AP EAMCET', 'AP EAMCET 2004']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">2-methyl-1 propanol</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">2-methyl-2 propanol</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">2-butanol</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">1-butanol</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">2-butanol</span> </div>

answer:
<div class="solution">2- butanol has following structure<br/><img src="https://cdn-question-pool.getmarks.app/pyq/ap_eamcet/fdPku6bLpTXjFMgRSeUTf6ehRNRGZzfG4HHjlo4J1Xg.original.fullsize.png"/><br/></div>


title: which-one-of-the-following-is-a-secondary-alcohol
slug: which-one-of-the-following-is-a-secondary-alcohol-16607
question: <div class="question">Which one of the following is a secondary alcohol?</div>
tags: ['Chemistry', 'General Organic Chemistry', 'TS EAMCET', 'TS EAMCET 2002']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">2-methyl-2-propanol</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">1-propanol</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">1-butanol</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">2-pentanol</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">2-pentanol</span> </div>

answer:
<div class="solution"><img src="https://cdn-question-pool.getmarks.app/pyq/ts_eamcet/UKNrVAKJ94srBByFxW_oBhW735MyQv9csF-_79dM3Qs.original.fullsize.png"/><br/></div>


title: which-one-of-the-following-is-an-endangered-plant-species-of-india-1
slug: which-one-of-the-following-is-an-endangered-plant-species-of-india-1-76912
question: <div class="question">Which one of the following is an endangered plant species of India?</div>
tags: ['Biology', 'Biodiversity and its Conservation', 'NEET']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Rauwolfia serpentina</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Santalum album (Sandal wood)</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Cycas beddomei</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">All of the above</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

answer:
<div class="solution">Endangered (ER): It is facing a high risk of extinction in the wild in the near future if conservation measures are not promptly taken.</div>


title: which-one-of-the-following-is-an-endangered-plant-species-of-india
slug: which-one-of-the-following-is-an-endangered-plant-species-of-india-85784
question: <div class="question">Which one of the following is an endangered plant species of India?</div>
tags: ['Biology', 'Biodiversity and its Conservation']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Rauwolfia serpentina<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Santalum album (sandal wood)<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Cycas beddonei<br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>All of the above</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>All of the above</span> </div>

answer:
<div class="solution">All of the above plants are endangered plant species of India. Rauwolfia serpentina (sarpgandha), Santalum album (sandal wood) and Cycas beddonei are facing the threat of extinction because of their medicinal and commercial importance.</div>


title: which-one-of-the-following-is-an-example-of-nonempty-set
slug: which-one-of-the-following-is-an-example-of-nonempty-set-39380
question: <div class="question">Which one of the following is an example of non-empty<br/>set ?</div>
tags: ['Mathematics', 'Sets and Relations', 'NDA', 'NDA 2013 (Phase 2)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">Set of all even prime numbers</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\left(x: x^{2}-2=0\right.$ and $x$ is rational)</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\{x: x$ is a natural number, $x   &lt; 8$ and simultaneously $x&gt;12$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\{x: x$ is a point common to any two parallel lines</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Set of all even prime numbers</span> </div>

answer:
<div class="solution">$\mathrm{S}$ be the set of all even prime numbers $\mathrm{S}=2$ in an even prime number $=($ Non-empty set $)$</div>


title: which-one-of-the-following-is-an-infinite-set
slug: which-one-of-the-following-is-an-infinite-set-53326
question: <div class="question">Which one of the following is an infinite set?</div>
tags: ['Mathematics', 'Sets and Relations', 'NDA', 'NDA 2006 (Phase 2)']
answer: <div class="solution">In the given sets, the set of all primesisan infiniteset.</div>
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">The set of human beings on the earth</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">The set of water drops in a glass of water</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">The set of trees in a forest</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">The set of all primes</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">The set of all primes</span> </div>


title: which-one-of-the-following-is-correct-1-cos-67-2-1-1-cos-112-2-1-is
slug: which-one-of-the-following-is-correct-1-cos-67-2-1-1-cos-112-2-1-is-52835
tags: ['Mathematics', 'Trigonometric Ratios & Identities', 'NDA', 'NDA 2008 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is correct? $\left(1+\cos 67 \frac{1^{\circ}}{2}\right)\left(1+\cos 112 \frac{1^{\circ}}{2}\right)$ is</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">an irrational number and is greater than 1</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">a rational number but not an integer</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">an integer</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">an irrational number and is less than $1$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">an irrational number and is less than $1$</span> </div>

answer:
<div class="solution">The given expression $\left(1+\cos 67 \frac{1^{\circ}}{2}\right)\left(1+\cos 112 \frac{1^{\circ}}{2}\right)$<br/>Can also be writters as :<br/>$\left(1+\cos 67 \frac{1^{\circ}}{2}\right)\left\{1+\cos \left(180^{\circ}-67 \frac{1^{\circ}}{2}\right)\right\}$<br/>$=\left(1+\cos 67 \frac{1^{\circ}}{2}\right)\left(1-\cos 67 \frac{1^{\circ}}{2}\right)$<br/>$=1-\cos ^{2} 67^{\circ} \frac{1^{\circ}}{2}=\sin ^{2} 67 \frac{1^{\circ}}{2}$<br/>$=\frac{1-\cos 135^{\circ}}{2}=\frac{\sqrt{2}+1}{2 \sqrt{2}} \quad\left(\because \sin ^{2} \mathrm{~A}=\frac{1-\cos 2 \mathrm{~A}}{2}\right)$<br/>Which is an irrational number and is less than 1</div>


title: which-one-of-the-following-is-correct-1
slug: which-one-of-the-following-is-correct-1-13146
question: <div class="question">Which one of the following is correct?</div>
tags: ['Mathematics', 'Sets and Relations', 'NDA', 'NDA 2009 (Phase 1)']
answer: <div class="solution">We know that $A \times(B-C)=(A \times B)-(A \times C)$</div>
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$A \times(B-C)=(A-B) \times(A-C)$</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$A \times(B-C)=(A \times B)-(A \times C)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$A \cap(B \cup C)=(A \cap B) \cup C$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$A \cup(B \cap C)=(A \cup B) \cap C$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$A \times(B-C)=(A \times B)-(A \times C)$</span> </div>


title: which-one-of-the-following-is-correct-2
slug: which-one-of-the-following-is-correct-2-37071
question: <div class="question">Which one of the following is correct?</div>
tags: ['Mathematics', 'Trigonometric Ratios & Identities', 'NDA', 'NDA 2010 (Phase 2)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\sin 1^{\circ}&gt;\sin 1$</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$\sin 1^{\circ}   &lt; \sin 1$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\sin 1^{\circ}=\sin 1$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\sin 1^{\circ}=\frac{\pi}{180} \sin 1$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\sin 1^{\circ}   &lt; \sin 1$</span> </div>

answer:
<div class="solution">We know that, $1^{\circ}   &lt; 1$ radian $\quad\left(\because 1^{\circ}=\frac{\pi}{180}\right.$ radian $)$ $\Rightarrow \sin 1^{\circ} &lt; \sin 1$</div>


title: which-one-of-the-following-is-correct-3
slug: which-one-of-the-following-is-correct-3-71492
question: <div class="question">Which one of the following is correct?</div>
tags: ['Mathematics', 'Sets and Relations', 'NDA', 'NDA 2008 (Phase 1)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">$\mathrm{A} \cup \mathrm{P}(\mathrm{A})=\mathrm{P}(\mathrm{A})$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$A \cap P(A)=A$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\mathrm{A}-\mathrm{P}(\mathrm{A})=\mathrm{A}$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\mathrm{P}(\mathrm{A})-\{\mathrm{A}\}=\mathrm{P}(\mathrm{A})$<br/>Here $\mathrm{P}(\mathrm{A})$ denotes the power set of a set $\mathrm{A}$.</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\mathrm{A} \cup \mathrm{P}(\mathrm{A})=\mathrm{P}(\mathrm{A})$</span> </div>

answer:
<div class="solution">$\mathrm{A} \cup \mathrm{P}(\mathrm{A})=\mathrm{P}(\mathrm{A})$ is correct<br/>Since $\mathrm{A}$ is a subset of its power set.</div>


title: which-one-of-the-following-is-correct-4
slug: which-one-of-the-following-is-correct-4-52924
question: <div class="question">Which one of the following is correct ?</div>
tags: ['Mathematics', 'Probability', 'NDA', 'NDA 2012 (Phase 2)']
answer: <div class="solution">An event having one sample point is called an elementary event.</div>
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">An event having no sample point is called an elementary event.</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">An event having one sample point is called an elementary event.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">An event having two sample points is called an elementary event.</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">An event having many sample points is called an elementary event.</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">An event having one sample point is called an elementary event.</span> </div>


title: which-one-of-the-following-is-correct-5
slug: which-one-of-the-following-is-correct-5-47065
question: <div class="question">Which one of the following is correct?</div>
tags: ['Mathematics', 'Sets and Relations', 'NDA', 'NDA 2006 (Phase 1)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\mathrm{A} \cup(\mathrm{B}-\mathrm{C})=\mathrm{A} \cap(\mathrm{B} \cap \mathrm{C})$</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$\mathrm{A}-(\mathrm{B} \cup \mathrm{C})=\left(\mathrm{A} \cap \mathrm{B}^{\prime}\right) \cap \mathrm{C}^{\prime}$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\mathrm{A}-(\mathrm{B} \cap \mathrm{C})=\left(\mathrm{A} \cap \mathrm{B}^{\prime}\right) \cap \mathrm{C}$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\mathrm{A} \cap(\mathrm{B}-\mathrm{C})=(\mathrm{A} \cap \mathrm{B}) \cap \mathrm{C}$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\mathrm{A}-(\mathrm{B} \cup \mathrm{C})=\left(\mathrm{A} \cap \mathrm{B}^{\prime}\right) \cap \mathrm{C}^{\prime}$</span> </div>

answer:
<div class="solution">Leta Venn-diagram be drawn taking three intersecting sets $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ under a universal set $\mathrm{U}$. This makes 8 regions a to $h$ as shown<br/><img src="https://cdn-question-pool.getmarks.app/pyq/nda/fsTFyxgJX8gHERlHZlVV8sEZq6-clfaNy8vJ5Sf6_Bc.original.fullsize.png"/><br/><br/>A has regions $a, b, d, e$ B has regions $b, c, e, f$<br/>regions $\mathrm{e}, \mathrm{t}, \mathrm{g}$<br/>$\mathrm{C}^{\prime}$ has regions $\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{h}$<br/>$\mathrm{B}^{\prime}$ has regions $\mathrm{a}, \mathrm{d}, \mathrm{g}, \mathrm{h}$<br/>Statement $(\mathrm{a}): \mathrm{A} \cup(\mathrm{B}-\mathrm{C})=\mathrm{A} \cap(\mathrm{B} \cap \mathrm{C})$<br/>$\mathrm{LHS}=(\mathrm{a}, \mathrm{b}, \mathrm{e}, \mathrm{d}) \cup \mathrm{b}, \mathrm{c}=\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}$<br/>$\mathrm{RHS}=\mathrm{a}, \mathrm{b}, \mathrm{d}, \mathrm{e} \cap \mathrm{e}, \mathrm{f}=\mathrm{e}$<br/>So, statement (a) is not correct. Statement(b): $A-(B \cup C)=\left(A \cap B^{\prime}\right) \cap C^{\prime}$<br/>$\mathrm{LHS}=(\mathrm{a}, \mathrm{b}, \mathrm{d}, \mathrm{e})-(\mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}, \mathrm{g})=\mathrm{a}$<br/>$\mathrm{RHS}=(\mathrm{a}, \mathrm{b}, \mathrm{d}, \mathrm{e} \cap \mathrm{a}, \mathrm{d}, \mathrm{g}, \mathrm{h}) \cap(\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{h})=\mathrm{a}$,<br/>So, statement (b) is correct. Correct statement is $A-(B \cup C)=\left(A \cap B^{\prime}\right) \cap C$</div>


title: which-one-of-the-following-is-correct-8
slug: which-one-of-the-following-is-correct-8-69358
question: <div class="question">Which one of the following is correct?</div>
tags: ['Chemistry', 'Surface Chemistry', 'AP EAMCET', 'AP EAMCET 2017 (26 Apr Shift 2)']
answer: <div class="solution">No solution. Refer to answer key.</div>
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\mathrm{As}_2 \mathrm{~S}_3$ is a positively charged sol.</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">The refractive indices of the dispersed phase and the dispersion medium differ greatly in magnitude to observe Tyndall effect.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Ultra microscope provides information about the size and shape of colloidal particles.</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Finest gold sol is green in colour.</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">The refractive indices of the dispersed phase and the dispersion medium differ greatly in magnitude to observe Tyndall effect.</span> </div>


title: which-one-of-the-following-is-correct-if-4-x-2-9-then
slug: which-one-of-the-following-is-correct-if-4-x-2-9-then-40479
question: <div class="question">Which one of the following is correct? If $4 &lt; x^{2} &lt; 9$, then</div>
tags: ['Mathematics', 'Basic of Mathematics', 'NDA', 'NDA 2007 (Phase 2)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$2   &lt; x &lt; 3$ only</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$-3   &lt; x &lt; -2$ only</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">$2   &lt; x &lt; 3,-3 &lt; x &lt; -2$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">None of these</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$2   &lt; x &lt; 3,-3 &lt; x &lt; -2$</span> </div>

answer:
<div class="solution">In the given inequality $\because 4   &lt; x^{2} &lt; 9$<br/>We consider $x^{2}&gt;4$ and $x^{2} &lt; 9$<br/>We first consider, $x^{2}&gt;4 \Rightarrow x^{2}-4&gt;0$<br/>$\Rightarrow x&gt;-2$ and $x &lt; 2$<br/>Next; $\mathrm{x}^{2} &lt; 9$<br/>$\Rightarrow x^{2}-9 &lt; 0 \quad \Rightarrow-3 &lt; x &lt; 3$<br/>Combining both we get $-3 &lt; x &lt; -2,2 &lt; x &lt; 3$ We represent this on number line<img src="https://cdn-question-pool.getmarks.app/pyq/nda/7E72GWQtA5qRbDyTRGNeaHqfP_gAeR0vuK_vwnpxARI.original.fullsize.png"/><br/><br/>$\Rightarrow-3 &lt; x &lt; -2$ and $2 &lt; x &lt; 3$</div>


title: which-one-of-the-following-is-correct-if-b-c-1-b-a-1-a-1-c-1-then-a-b-c-are-in
slug: which-one-of-the-following-is-correct-if-b-c-1-b-a-1-a-1-c-1-then-a-b-c-are-in-87656
tags: ['Mathematics', 'Sequences and Series', 'NDA', 'NDA 2008 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is correct? If $\frac{1}{b-c}+\frac{1}{b-a}=\frac{1}{a}+\frac{1}{c}$, then $a, b, c$ are in</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">AP</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$\mathrm{HP}$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">GP</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">None of these</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\mathrm{HP}$</span> </div>

answer:
<div class="solution">As given : $\frac{1}{\mathrm{~b}-\mathrm{c}}+\frac{1}{\mathrm{~b}-\mathrm{a}}=\frac{1}{\mathrm{a}}+\frac{1}{\mathrm{c}}$<br/>$\Rightarrow \frac{1}{b-c}-\frac{1}{a}+\frac{1}{b-a}-\frac{1}{c}=0$<br/>$\Rightarrow \frac{a-b+c}{a(b-c)}+\frac{c-b+a}{c(b-a)}=0$<br/>$\Rightarrow(a-b+c)\left\{\frac{1}{a(b-c)}+\frac{1}{c(b-a)}\right\}=0$<br/>$\Rightarrow \frac{\mathrm{cb}-\mathrm{ac}+\mathrm{ab}-\mathrm{ac}}{\mathrm{ac}(\mathrm{b}-\mathrm{c})(\mathrm{b}-\mathrm{a})}=0$<br/>$\Rightarrow \mathrm{cb}+\mathrm{ab}=2 \mathrm{ac}$<br/>Dividing both sides by abc<br/>$\Rightarrow \frac{1}{\mathrm{a}}+\frac{1}{\mathrm{c}}=\frac{2}{\mathrm{~b}} \Rightarrow \frac{1}{\mathrm{a}}, \frac{1}{\mathrm{~b}}, \frac{1}{\mathrm{c}}$ are in $\mathrm{AP.} \Rightarrow \mathrm{a}, \mathrm{b}, \mathrm{c}$ are in $\mathrm{HP}$.</div>


tags: ['Mathematics', 'Sequences and Series', 'NDA', 'NDA 2007 (Phase 2)']
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-is-correct-if-the-positive-numbers-a-b-c-d-are-in-ap-then-bed-cda-dab-abc

slug:
which-one-of-the-following-is-correct-if-the-positive-numbers-a-b-c-d-are-in-ap-then-bed-cda-dab-abc-42908

question:
<div class="question">Which one of the following is correct? If the positive numbers $\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}$ are in AP, then bed, cda, dab, abc</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">are in AP</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">are in GP</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">are in HP</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">are in none of the above progressions</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">are in HP</span> </div>

answer:
<div class="solution">As given : $a, b, c, d$ are in AP<br/>$\Rightarrow \frac{1}{\mathrm{a}}, \frac{1}{\mathrm{~b}}, \frac{1}{\mathrm{c}}, \frac{1}{\mathrm{~d}}$ are in $\mathrm{HP}$<br/>Multiplying by abcd throughout<br/>$\Rightarrow \frac{\text { abcd }}{\mathrm{a}}, \frac{\mathrm{abcd}}{\mathrm{b}}, \frac{\mathrm{abcd}}{\mathrm{c}}, \frac{\mathrm{abcd}}{\mathrm{d}}$, are in HP<br/>$\Rightarrow$ bed, acd, abd, abc are in HP.</div>


title: which-one-of-the-following-is-correct-if-the-vector-c-is-normal-to-the-vectors-a-and-b-then-c-is
tags: ['Mathematics', 'Vector Algebra', 'NDA', 'NDA 2007 (Phase 2)']
source_db: MarksBatch2_P4.db
slug:
which-one-of-the-following-is-correct-if-the-vector-c-is-normal-to-the-vectors-a-and-b-then-c-is-72489

question:
<div class="question">Which one of the following is correct? If the vector $\vec{c}$ is<br/>normal to the vectors $\vec{a}$ and $\vec{b}$, then $\vec{c}$, is :</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">parallel to both $\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}$ and $\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}}$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">normal to $\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}}$ and parallel to $\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">normal to $\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}$ and parallel to $\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}}$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">normal to both $\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}$ and $\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}}$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">normal to both $\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}$ and $\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}}$</span> </div>

answer:
<div class="solution">As given<br/>$\vec{c}$ is normal to the vectors $\vec{a}$ and $\vec{b}$<br/>$\begin{array}{ll}\Rightarrow &amp; \vec{c} \cdot \vec{a}=0 \text { and } \vec{c} \cdot \vec{b}=0 \\ \Rightarrow &amp; \vec{c} \cdot(\vec{a}+\vec{b})=\vec{c} \cdot \vec{a}+\vec{c} \cdot \vec{b}=0 \\ \Rightarrow &amp; \text { Also } \vec{c} \cdot(\vec{a}-\vec{b})=\vec{c} \cdot \vec{a}-\vec{c} \cdot \vec{b}=0\end{array}$<br/>$\overrightarrow{\mathrm{c}}$ is normal to $\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}$ and $\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}}$.</div>


tags: ['Mathematics', 'Complex Number', 'NDA', 'NDA 2008 (Phase 1)']
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-is-correct-if-z-and-w-are-complex-numbers-and-w-denotes-the-conjugate-of-w-then-z-w-z-w-holds-only-if

slug:
which-one-of-the-following-is-correct-if-z-and-w-are-complex-numbers-and-w-denotes-the-conjugate-of-w-then-z-w-z-w-holds-only-if-38315

question:
<div class="question">Which one of the following is correct? If $z$ and w are complex numbers and $\overline{\mathrm{w}}$ denotes the conjugate of $\mathrm{w}$, then $\mathrm{z}+\mathrm{w}$ $=|\mathrm{z}-\mathrm{w}|$ holds only, if</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">$\quad z=0$ or $\mathrm{w}=0$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\quad z=0$ and $w=0$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\mathrm{z} \cdot \overline{\mathrm{w}}$ is purelyreal</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\mathrm{z} \cdot \overline{\mathrm{w}}$ is purelyimaginary</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\quad z=0$ or $\mathrm{w}=0$</span> </div>

answer:
<div class="solution">Given that, $|\mathrm{z}+\mathrm{w}|=|\mathrm{z}-\mathrm{w}| \Rightarrow$ either $\mathrm{z}$ or, $\mathrm{w}$ is zero.</div>


title: which-one-of-the-following-is-correct-in-respect-of-the-cube-roots-of-unity
slug: which-one-of-the-following-is-correct-in-respect-of-the-cube-roots-of-unity-88974
tags: ['Mathematics', 'Complex Number', 'NDA', 'NDA 2018 (Phase 2)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is correct in respect of the cube roots of unity?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">They are collinear</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">They lie on a circle of radius $\sqrt{3}$</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">They form an equilateral triangle</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">None of the above</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">They form an equilateral triangle</span> </div>

answer:
<div class="solution">$\Delta$ is equilateral.<br/><img src="https://cdn-question-pool.getmarks.app/pyq/nda/JCYkHI1zjtd35Eje817P7i0T0q9sLHQfDoLoHMQFaEA.original.fullsize.png"/></div>


title: which-one-of-the-following-is-correct-in-respect-of-the-function-f-r-r-defined-as-f-x-x-1
slug: which-one-of-the-following-is-correct-in-respect-of-the-function-f-r-r-defined-as-f-x-x-1-64619
tags: ['Mathematics', 'Functions', 'NDA', 'NDA 2018 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is correct in respect of the<br/>function $\mathrm{f}: \mathbb{R} \rightarrow \mathbb{R}^{+}$ defined as $\mathrm{f}(\mathrm{x})=|\mathrm{x}+1|$ ?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\quad f\left(x^{2}\right)=[f(x)]^{2}$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\mathrm{f}(\mid \mathrm{x})=|\mathrm{f}(\mathrm{x})|$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\quad f(x+y)=f(x)+f(y)$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">None of the above</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

answer:
<div class="solution">Given, $\mathrm{f}(\mathrm{x})=|\mathrm{x}+1|$.<br/>Let us check all options.<br/>$\begin{array}{ll}\text { (a) } &amp; \mathrm{f}(\mathrm{x})^{2}=\left|\mathrm{x}^{2}+1\right| \\ &amp; (\mathrm{f}(\mathrm{x}))^{2}=(\mathrm{x}+1)^{2} \\ &amp; \text { So, } \mathrm{f}(\mathrm{x})^{2} \neq(\mathrm{f}(\mathrm{x}))^{2} \\ \text { (b) } &amp; \mathrm{f}(|\mathrm{x}|)=\| \mathrm{x}|+1| \\ &amp; |\mathrm{f}(\mathrm{x})|=\|\mathrm{x}+1\|=|\mathrm{x}+1| \\ &amp; \mathrm{f}(\mathrm{x}) \neq|\mathrm{f}(\mathrm{x})| \\ \text { (c) } &amp; \mathrm{f}(\mathrm{x}+\mathrm{y})=|\mathrm{x}+\mathrm{y}+1| \\ &amp; \mathrm{f}(\mathrm{x})+\mathrm{f}(\mathrm{y})=|\mathrm{x}+1|+|\mathrm{y}+1| \\ &amp; \mathrm{f}(\mathrm{x}+\mathrm{y}) \neq \mathrm{f}(\mathrm{x}+\mathrm{f}(\mathrm{y}))\end{array}$</div>


title: which-one-of-the-following-is-correct-in-respect-of-the-function-f-x-x-sin-x-cos-x-2-1-cos-2-x
tags: ['Mathematics', 'Application of Derivatives', 'NDA', 'NDA 2018 (Phase 2)']
source_db: MarksBatch2_P4.db
slug:
which-one-of-the-following-is-correct-in-respect-of-the-function-f-x-x-sin-x-cos-x-2-1-cos-2-x-79330

question:
<div class="question">Which one of the following is correct in respect of the function <br/>$f(x)=x \sin x+\cos x+\frac{1}{2} \cos ^{2} x ?$</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">It is increasing in the interval $\left(0, \frac{\pi}{2}\right)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">It remain constant in the interval $\left(0, \frac{\pi}{2}\right)$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">It is decreasing in the interval $\left(0, \frac{\pi}{2}\right)$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">It is decreasing in the interval $\left(\frac{\pi}{4}, \frac{\pi}{2}\right)$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">It is increasing in the interval $\left(0, \frac{\pi}{2}\right)$</span> </div>

answer:
<div class="solution">$f(x)=x \sin x+\cos x+\frac{1}{2} \cos ^{2} x$<br/>$\Rightarrow \quad f^{\prime}(x)=x \cos x+\sin x-\sin x-\sin x \cos x$<br/>$=\cos x(x-\sin x)&gt;0$ in $\left(0, \frac{\pi}{2}\right)$</div>


title: which-one-of-the-following-is-correct-in-respect-of-the-function-f-x-x-x-1-x-1
slug: which-one-of-the-following-is-correct-in-respect-of-the-function-f-x-x-x-1-x-1-74695
tags: ['Mathematics', 'Application of Derivatives', 'NDA', 'NDA 2017 (Phase 2)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is correct in respect of the function $f(x)=x(x-1)(x+1) ?$</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">Thelocalmaximumvalueislarger than local minimumvahe</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Thelocal maximum value is smaller than local minimum value</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">The function has no local maximum</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">The function has no local minimum</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Thelocalmaximumvalueislarger than local minimumvahe</span> </div>

answer:
<div class="solution">$\mathrm{f}(\mathrm{x})=\mathrm{x}(\mathrm{x}-1)(\mathrm{x}+1)=\mathrm{x}\left(\mathrm{x}^{2}-1\right)$<br/>Differentiating, we get $f^{\prime}(x)=x(2 x)+\left(x^{2}-1\right)=2 x^{2}+x^{2}-1=3 x^{2}-1$<br/>Again differentiating $\mathrm{f}^{\prime \prime}(\mathrm{x})=6 \mathrm{x}$<br/>At $\mathrm{f}^{\prime}(\mathrm{x})=0 \Rightarrow 3 \mathrm{x}^{2}-1=0 \Rightarrow \mathrm{x}^{2}=\frac{1}{3} \Rightarrow \mathrm{x}=\pm \frac{1}{\sqrt{3}}$<br/>Maximum value of $\mathrm{f}(\mathrm{x})=\mathrm{f}\left(\frac{-1}{\sqrt{3}}\right)=\frac{-1}{\sqrt{3}}\left(\left(\frac{-1}{\sqrt{3}}\right)^{2}-1\right)$<br/>$=\frac{-1}{\sqrt{3}}\left(\frac{1}{3}-1\right)=\frac{-1}{\sqrt{3}}\left(\frac{-2}{3}\right)=\frac{2}{3 \sqrt{3}}$<br/>Minimumvalue of $f(x)=f\left(\frac{1}{\sqrt{3}}\right)=\frac{1}{\sqrt{3}}\left(\frac{1}{3}-1\right)=\frac{-2}{3 \sqrt{3}}$</div>


title: which-one-of-the-following-is-correct-in-respect-of-the-function-f-x-x-x-2-for-x-0-and-f-0-0
slug: which-one-of-the-following-is-correct-in-respect-of-the-function-f-x-x-x-2-for-x-0-and-f-0-0-55068
tags: ['Mathematics', 'Continuity and Differentiability', 'NDA', 'NDA 2012 (Phase 2)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is correct in respect of the<br/>function $\mathrm{f}(\mathrm{x})=\frac{\mathrm{x}^{2}}{|\mathrm{x}|}$ for $\mathrm{x} \neq 0$ and $\mathrm{f}(0)=0 ?$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ is discontinuous every where</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ is continuous every where</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ is continuous at $\mathrm{x}=0$ only</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ is discontinuous at $\mathrm{x}=0$ only</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\mathrm{f}(\mathrm{x})$ is continuous every where</span> </div>

answer:
<div class="solution">$\mathrm{f}(\mathrm{x})=\left\{\begin{array}{cc}\frac{\mathrm{x}^{2}}{\mathrm{x}}, &amp; \mathrm{x} \neq 0 \\ 0 &amp; \mathrm{x}=0\end{array}\right.$<br/>$=\left\{\begin{array}{ll}\frac{x^{2}}{x}=x, &amp; x&gt;0 \\ 0, &amp; x=0 \\ \frac{x^{2}}{-x}=-x, &amp; x   &lt; 0\end{array}\right.$<br/>Now, $\lim _{x \rightarrow 0^{-}} f(x)=\lim _{x \rightarrow 0}(-x)=0$<br/>$\lim _{x \rightarrow 0^{+}} f(x)=\lim _{x \rightarrow 0}(x)=0$<br/>and $f(0)=0$ So, $f(x)$ is continuous at $x=0$ Also, $\mathrm{f}(\mathrm{x})$ is continuous for all other values of $\mathrm{x}$. Hence, $\mathrm{f}(\mathrm{x})$ is continuous everywhere.</div>


title: which-one-of-the-following-is-correct-in-respect-of-the-function-f-x-x-x-2
slug: which-one-of-the-following-is-correct-in-respect-of-the-function-f-x-x-x-2-80658
tags: ['Mathematics', 'Continuity and Differentiability', 'NDA', 'NDA 2011 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is correct in respect of the<br/>function $f(x)=|x|+x^{2}$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$f(x)$ is not continuous at $x=0$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$f(x)$ is differentiable at $x=0$</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">$f(x)$ is continuous but not differentiable at $x=0$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">None of the above</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$f(x)$ is continuous but not differentiable at $x=0$</span> </div>

answer:
<div class="solution">$\because \quad f(x)=|x|+x^{2}$<br/>$\Rightarrow f(x)=\left\{\begin{array}{ll}x^{2}+x, &amp; x \geq 0 \\ x^{2}-x, &amp; x   &lt; 0\end{array}\right.$<br/>LHL $=\lim _{x \rightarrow 0^{-}} f(x)$<br/>$=\lim _{h \rightarrow 0} f(0-h)=\lim _{h \rightarrow 0}(0-h)^{2}-(0-h)$<br/>$=\lim _{h \rightarrow 0} h^{2}+h=0$<br/>and $\operatorname{RHL}=\lim _{x \rightarrow 0} f(x)=\lim _{h \rightarrow 0} f(0+h)$<br/>$=\lim _{h \rightarrow 0}(0+h)^{2}+(0+h)=\lim _{h \rightarrow 0} h^{2}+h=0$<br/>$\Rightarrow \mathrm{LHL}=\mathrm{RHL}=\mathrm{f}(0)$<br/>$\Rightarrow f(x)$ is continuous at $x=0$<br/>Now, $\mathrm{LHD}=\lim _{h \rightarrow 0} \frac{f(0-h)-f(0)}{-h}$<br/>$=\lim _{h \rightarrow 0} \frac{h^{2}+h}{-h}=-\lim _{h \rightarrow 0} h+1=-1$<br/>and, $\mathrm{RHD}=\lim _{h \rightarrow 0} \frac{f(0+h)-f(0)}{h}$<br/>$=\lim _{h \rightarrow 0} \frac{h^{2}+h}{h}=\lim _{h \rightarrow 0} h+1=1$<br/>Thus, $\mathrm{LHD} \neq \mathrm{RHD}$<br/>$\Rightarrow f(x)$ is not differentiable at $x=0$</div>


title: which-one-of-the-following-is-correct-in-respect-of-the-matrix-a-0-0-1-0-1-0-1-0-0
slug: which-one-of-the-following-is-correct-in-respect-of-the-matrix-a-0-0-1-0-1-0-1-0-0-95222
tags: ['Mathematics', 'Matrices', 'NDA', 'NDA 2009 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is correct in respect of the matrix <br/>$A=\left[\begin{array}{ccc}<br/>0 &amp; 0 &amp; -1 \\<br/>0 &amp; -1 &amp; 0 \\<br/>-1 &amp; 0 &amp; 0<br/>\end{array}\right] ?$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$A^{-1}$ does not exist</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$A=(-1) I$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$A$ is a unit matrix</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">$A^{2}=I$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$A^{2}=I$</span> </div>

answer:
<div class="solution">Given, $A=\left[\begin{array}{ccc}0 &amp; 0 &amp; -1 \\ 0 &amp; -1 &amp; 0 \\ -1 &amp; 0 &amp; 0\end{array}\right]$<br/>$\therefore \quad|A|=\left|\begin{array}{ccc}0 &amp; 0 &amp; -1 \\ 0 &amp; -1 &amp; 0 \\ -1 &amp; 0 &amp; 0\end{array}\right|=-1(-1)=1 \neq 0$<br/>$\therefore \quad \mathrm{A}^{-1}$ exists<br/>Now, $A^{2}=\left[\begin{array}{ccc}0 &amp; 0 &amp; -1 \\ 0 &amp; -1 &amp; 0 \\ -1 &amp; 0 &amp; 0\end{array}\right]\left[\begin{array}{ccc}0 &amp; 0 &amp; -1 \\ 0 &amp; -1 &amp; 0 \\ -1 &amp; 0 &amp; 0\end{array}\right]$<br/>$=\left[\begin{array}{lll}1 &amp; 0 &amp; 0 \\ 0 &amp; 1 &amp; 0 \\ 0 &amp; 0 &amp; 1\end{array}\right]$<br/>$\Rightarrow A^{2}=I$</div>


title: which-one-of-the-following-is-correct-the-eccentricity-of-the-conic-a-2-x-2-b-2-y-2-1-0
slug: which-one-of-the-following-is-correct-the-eccentricity-of-the-conic-a-2-x-2-b-2-y-2-1-0-49528
tags: ['Mathematics', 'Ellipse', 'NDA', 'NDA 2008 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is correct? The eccentricity of the conic<br/>$$<br/>\frac{x^{2}}{a^{2}+\lambda}+\frac{y^{2}}{b^{2}+\lambda}=1,(\lambda \geq 0)<br/>$$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">increases with increase in $\lambda$</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">decreases with increase in $\lambda$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">does not change with $\lambda$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">None of the above</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">decreases with increase in $\lambda$</span> </div>

answer:
<div class="solution">Equation of the given conic is an equation of ellipse<br/>$\frac{x^{2}}{a^{2}+\lambda}+\frac{y^{2}}{b^{2}+\lambda}(x \geq 0)$<br/>$\Rightarrow \quad A^{2}=a^{2}+\lambda$ and $B^{2}=b^{2}+\lambda$<br/>Eccentricity, $\mathrm{e}=\sqrt{1-\frac{\mathrm{B}^{2}}{\mathrm{~A}^{2}}}=\sqrt{1-\frac{\mathrm{b}^{2}+\lambda}{\mathrm{a}^{2}+\lambda}}$<br/>$=\sqrt{\frac{a^{2}+\lambda-b^{2}-\lambda}{a^{2}+\lambda}}=\sqrt{\frac{a^{2}-b^{2}}{a^{2}+\lambda}}$<br/>$\lambda$ is in the denominator so, when $\lambda$ increases, the eccentricity decreases.</div>


title: which-one-of-the-following-is-correct-the-function-f-a-r-where-a-x-r-2-x-2-defined-by-f-x-tan-x
tags: ['Mathematics', 'Functions', 'NDA', 'NDA 2008 (Phase 1)']
source_db: MarksBatch2_P4.db
slug:
which-one-of-the-following-is-correct-the-function-f-a-r-where-a-x-r-2-x-2-defined-by-f-x-tan-x-80988

question:
<div class="question">Which one of the following is correct?<br/>The function $\mathrm{f}: \mathrm{A} \rightarrow$ R where $A=\left\{x \in R,-\frac{\pi}{2}   &lt; x &lt; \frac{\pi}{2}\right\}$ defined by $f(x)=\tan x$.</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">Injective</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Not injective</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Bijective</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Not bijective</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Injective</span> </div>

answer:
<div class="solution">$f(x)=tan x$<br/>$\mathrm{f}(\mathrm{x})$ is increasing in the interval $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$<br/>Hence, $\mathrm{f}(\mathrm{x})$ is injective in the interval $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$</div>


title: which-one-of-the-following-is-correct-the-function-f-x-x-1-e-x-1-is
slug: which-one-of-the-following-is-correct-the-function-f-x-x-1-e-x-1-is-64570
tags: ['Mathematics', 'Application of Derivatives', 'NDA', 'NDA 2007 (Phase 2)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is correct? The function $\mathrm{f}(\mathrm{x})=(\mathrm{x}-1) \mathrm{e}^{\mathrm{x}}+1$ is $\quad$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">negative for all $\mathrm{x}&gt;0$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">positive for all $x&gt;0$</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">increasing for all $\mathrm{x}$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">decreasing for all $x$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">increasing for all $\mathrm{x}$</span> </div>

answer:
<div class="solution">The given function is $f(x)=(x-1) e^{x}+1$<br/>$\begin{aligned} \Rightarrow \mathrm{f}^{\prime}(\mathrm{x}) &amp;=(\mathrm{x}-1) \mathrm{e}^{\mathrm{x}}+\mathrm{e}^{\mathrm{x}} \\ &amp;=(\mathrm{x}-1+1) \mathrm{e}^{\mathrm{x}}=\mathrm{xe}^{\mathrm{x}} \end{aligned}$<br/>Thus, it is clear that $\mathrm{f}(\mathrm{x})$ is increasing for all $\mathrm{x}$.</div>


title: which-one-of-the-following-is-correct-the-real-number-3-2-5-3-2-5-is
slug: which-one-of-the-following-is-correct-the-real-number-3-2-5-3-2-5-is-95884
tags: ['Mathematics', 'Sets and Relations', 'NDA', 'NDA 2007 (Phase 2)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is correct? The real number $\sqrt[3]{2+\sqrt{5}}+\sqrt[3]{2-\sqrt{5}}$ is:</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">an integer</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">a rational number but not an integer</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">an irrational number</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">none of the above</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">a rational number but not an integer</span> </div>

answer:
<div class="solution">The given number<br/>$\sqrt[3]{2+\sqrt{5}}+\sqrt[3]{2-\sqrt{5}}$<br/>can be written as<br/>$=(2+\sqrt{5})^{1 / 3}+(2-\sqrt{5})^{1 / 3}$<br/>$=2^{1 / 3}\left[1+\frac{1}{2} \sqrt{5}\right]^{1 / 3}+2^{1 / 3}\left[1-\frac{1}{2} \sqrt{5}\right]^{1 / 3}$<br/>$=2^{1 / 3}\left[1+\frac{1}{6} \sqrt{5}+\ldots+1-\frac{1}{6} \sqrt{5}+\ldots\right]$<br/>Thus the given number is a rational number but not an integer</div>


title: which-one-of-the-following-is-correctly-matched-regarding-an-institute-and-its-location
slug: which-one-of-the-following-is-correctly-matched-regarding-an-institute-and-its-location-76534
tags: ['Biology', 'Biological Classification', 'AIIMS', 'AIIMS 2004']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is correctly matched regarding an Institute and its location?</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">National Institute of Virology - Pune</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">National Institute of Communicable Diseases - Lucknow</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Central Drug Research Institute - Kasauli</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">National Institute of Nutrition - Mumbai</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">National Institute of Virology - Pune</span> </div>

answer:
<div class="solution">The Virus Reselarch Centre (VRC), Pune came to existance in 1952 under the joint auspices of the ICMR and the Rockefeller Foundation, as a part of the global programme of investigations on the arthropod - borne group of viruses. In view of its expanded scope and activities, the VRC was undesignated as the National Institute of Virology (NIV) in 1978. The NIV is identified today as the WHO collaborating centre for arbovirus reference and research. NIV also acts as the National Monitoring Centre for Influenza and Hepatitis.</div>


title: which-one-of-the-following-is-not-a-characteristic-feature-of-biodiversity-hot-spots
slug: which-one-of-the-following-is-not-a-characteristic-feature-of-biodiversity-hot-spots-72467
tags: ['Biology', 'Biodiversity and its Conservation', 'NEET']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is not a characteristic feature of biodiversity hot spots?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Large number of species</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Abundance of endemic species</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Mostly located in the polar regions</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Mostly located in the tropics</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Mostly located in the polar regions</span> </div>

answer:
<div class="solution">Characteristic feature of biodiversity hot spots are large number of species, abundance of endemic species and mostly located in the tropics.</div>


title: which-one-of-the-following-is-not-a-feature-of-biodiversity-hotspots
slug: which-one-of-the-following-is-not-a-feature-of-biodiversity-hotspots-88106
question: <div class="question">Which one of the following is not a feature of biodiversity hotspots?</div>
tags: ['Biology', 'Biodiversity and its Conservation']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/> Large number of species<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Abundance of endemic species<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Mostly located in the tropics<br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>Mostly located in the polar regions</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Mostly located in the polar regions</span> </div>

answer:
<div class="solution">Biodiversity hotspots are characterised by large number of flora and fauna which is abundant in endemic species and also have large number of alien or exotic species. They are mostly found in tropical and temperate regions. There are no biodiversity hotspots in polar regions.</div>


title: which-one-of-the-following-is-not-correct-1
slug: which-one-of-the-following-is-not-correct-1-57863
question: <div class="question">Which one of the following is not correct?</div>
tags: ['Biology', 'Evolution', 'NEET']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">The work done on the evening primrose by Hugo deVries laid the foundation of the mutation theory.</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Single-step large mutations are known as saltation and were considered to be the main factor in causing speciation.</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Darwin advocated that variations are always large but heritable changes.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Branching descent and natural selection are the two key concepts of the Darwinian Theory of Evolution.</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Darwin advocated that variations are always large but heritable changes.</span> </div>

answer:
<div class="solution">Charles Darwin gave the theory of evolution based and believed that evolutionary changes are slow and gradual process. He suggested that variations occurring in the organisms whether large or small tend to be heritable. These variations gradually lead to the formation of new species. Hugo de Vries gave the theory of mutation based on his work on evening primrose.</div>


title: which-one-of-the-following-is-not-correct
slug: which-one-of-the-following-is-not-correct-41126
question: <div class="question">Which one of the following is not correct?</div>
tags: ['Mathematics', 'Inverse Trigonometric Functions', 'NDA', 'NDA 2008 (Phase 2)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\sin ^{-1}\{\sin (5 \pi / 4)\}=-\pi / 4$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\sec ^{-1}\{\sec (5 \pi / 4)\}=3 \pi / 4$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\tan ^{-1}\{\tan (5 \pi / 4)\}=\pi / 4$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">$\cos e c^{-1}\{\operatorname{cosec}(7 \pi / 4)\}=\pi / 4$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\cos e c^{-1}\{\operatorname{cosec}(7 \pi / 4)\}=\pi / 4$</span> </div>

answer:
<div class="solution">Option (a) $\sin ^{-1}\left(\sin \frac{5 \pi}{4}\right)=\frac{-\pi}{4}$<br/>$\Rightarrow \sin \frac{5 \pi}{4}=\sin \left(\frac{-\pi}{4}\right)$<br/>$\Rightarrow \sin \left(\pi+\frac{\pi}{4}\right)=-\sin \frac{\pi}{4}$<br/>$\Rightarrow-\sin \left(\frac{\pi}{4}\right)=-\sin \left(\frac{\pi}{4}\right)$<br/>Hence it is correct Option (b)<br/>$\sec ^{-1}\left(\sec \frac{5 \pi}{4}\right)=\frac{3 \pi}{4}$<br/>$\Rightarrow \sec \frac{5 \pi}{4}=\sec \frac{3 \pi}{4}$<br/>$\Rightarrow \sec \left(2 \pi-\frac{3 \pi}{4}\right)=\sec \frac{3 \pi}{4}$<br/>$\Rightarrow \sec \frac{3 \pi}{4}=\sec \frac{3 \pi}{4}$<br/>Hence, it is correct<br/>Option (c)<br/>$\tan ^{-1}\left(\tan \frac{5 \pi}{4}\right)=\frac{\pi}{4}$<br/>$\Rightarrow \tan \frac{5 \pi}{4}=\tan \frac{\pi}{4}$<br/>$\Rightarrow \tan \left(\pi+\frac{\pi}{4}\right)=\tan \frac{\pi}{4}$<br/>$\Rightarrow \tan \frac{\pi}{4}=\tan \frac{\pi}{4}$<br/>Hence it is correct Option (d). $\operatorname{cosec}^{-1}\left(\operatorname{cosec} \frac{7 \pi}{4}\right)=\frac{\pi}{4}$<br/>$\Rightarrow \operatorname{cosec} \frac{7 \pi}{4}=\operatorname{cosec} \frac{\pi}{4}$<br/>$\Rightarrow \operatorname{cosec}\left(2 \pi-\frac{\pi}{4}\right)=\operatorname{cosec} \frac{\pi}{4}$<br/>$\Rightarrow-\operatorname{cosec} \frac{\pi}{4}=\operatorname{cosec} \frac{\pi}{4}$<br/>Hence it is not correct.</div>


title: which-one-of-the-following-is-not-included-under-insitu-conservation-1
slug: which-one-of-the-following-is-not-included-under-insitu-conservation-1-27756
question: <div class="question">Which one of the following is not included under in-situ conservation?</div>
tags: ['Biology', 'Biodiversity and its Conservation', 'NEET', 'NEET 2006']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">national park</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">sanctuary</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">botanical garden</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">biosphere reserve</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">botanical garden</span> </div>

answer:
<div class="solution">In situ is the methods of conserving all the living species, especially the wild and endangered species in their natural habitats and environment. Ex-situ is the methods of conserving all the living species in the artful habitats that reflect their natural living habitats.</div>


title: which-one-of-the-following-is-not-included-under-insitu-conservation
slug: which-one-of-the-following-is-not-included-under-insitu-conservation-48879
tags: ['Biology', 'Biodiversity and its Conservation', 'NEET']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is not included under <em>In-situ</em> conservation?</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">Botanical garden</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Biosphere reserve </span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">National Park </span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Sanctuary</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Botanical garden</span> </div>

answer:
<div class="solution"><em>In-situ</em> conservation means preserving endangered species of animals or plants in their natural environment. <em>In-situ </em>conservation methods include hotspots, national parks, sanctuaries, biosphere reserve, etc.. <em>Ex-situ </em>conservation includes a botanical garden, cryopreservation, zoological parks, etc.</div>


title: which-one-of-the-following-is-one-of-the-roots-of-the-equation-b-c-x-2-c-a-x-a-b-0
slug: which-one-of-the-following-is-one-of-the-roots-of-the-equation-b-c-x-2-c-a-x-a-b-0-33185
tags: ['Mathematics', 'Quadratic Equation', 'NDA', 'NDA 2009 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is one of the roots of the equation $(b-c) x^{2}+(c-a) x+(a-b)=0 ?$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$(c-a) /(b-c)$</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$(a-b) /(b-c)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$(b-c) /(a-b)$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$(c-a) /(a-b)$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$(a-b) /(b-c)$</span> </div>

answer:
<div class="solution">Given eqn is $(b-c) x^{2}+(c-a) x+(a-b)=0$ $\Rightarrow(b-c) x^{2}-(b-c-b+a) x+(a-b)=0$<br/>$\Rightarrow(b-c) x(x-1)-(a-b)(x-1)=0$<br/>$\Rightarrow\{(b-c) x-(a-b)\}\{x-1\}=0$<br/>$\Rightarrow x=\frac{a-b}{b-c}$ and $x=1$</div>


tags: ['Mathematics', 'Trigonometric Equations', 'NDA', 'NDA 2014 (Phase 2)']
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-is-one-of-the-solutions-of-the-equation-of-the-equation-tan-2-theta-cdot-tan-theta1

slug:
which-one-of-the-following-is-one-of-the-solutions-of-the-equation-of-the-equation-tan-2-theta-cdot-tan-theta1-52830

question:
<div class="question">Which one of the following is one of the solutions of the equation of the equation $\tan 2 \theta \cdot \tan \theta=1 ?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\pi / 12$</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$\pi / 6$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\pi / 4$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\pi / 3$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\pi / 6$</span> </div>

answer:
<div class="solution">$\tan 2 \theta \cdot \tan \theta=1$<br/>$\Rightarrow \frac{2 \tan \theta}{1-\tan ^{2} \theta} \cdot \tan \theta=1$<br/>$\Rightarrow 2 \tan ^{2} \theta=1-\tan ^{2} \theta \Rightarrow 3 \tan ^{2} \theta=1$<br/>$\Rightarrow \tan ^{2} \theta=\frac{1}{3}=\left(\frac{1}{\sqrt{3}}\right)^{2}$<br/>$\Rightarrow \tan ^{2} \theta=\tan ^{2}\left(30^{\circ}\right)=\tan ^{2}\left(\frac{\pi}{6}\right)\left[\because \theta=\mathrm{n} \pi \pm \frac{\pi}{6}\right]$<br/>$\therefore \theta=\frac{\pi}{6}$<br/>$$</div>


title: which-one-of-the-following-is-positive-in-the-third-quadrant
slug: which-one-of-the-following-is-positive-in-the-third-quadrant-74964
question: <div class="question">Which one of the following is positive in the third quadrant?</div>
tags: ['Mathematics', 'Trigonometric Ratios & Identities', 'NDA', 'NDA 2012 (Phase 1)']
answer: <div class="solution">$\tan \theta$ is positive in third quadrant</div>
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\sin \theta$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\cos \theta$</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">$\tan \theta$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\sec \theta$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\tan \theta$</span> </div>


title: which-one-of-the-following-is-resistant-enzyme-action
slug: which-one-of-the-following-is-resistant-enzyme-action-20150
question: <div class="question">Which one of the following is resistant enzyme action?</div>
tags: ['Biology', 'Sexual Reproduction in Flowering Plants', 'NEET', 'NEET 2008 (Screening)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Cork</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Wood fibre</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Pollen exine</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Leaf cuticle</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Pollen exine</span> </div>

answer:
<div class="solution">The pollen wall is consisted of two layers the outer exine and inner intine. The exine is chiefly made up of sporopollenin, which is derived by the oxidative polymerization of carotenoids. Sporopollenin is one of the most resistant biological materials known. Exine is thin in begining but become very thick with maturity.<br/>During secondary growth in extrastelar region cork cambium or phellogen cells divide periclinally, cutting off cells towards the outside and inside. The cells cutoff towards outside become suberised and dead and form cork. Cork is impervious to water due to suberin and provides protection to underlying tissues.</div>


tags: ['Biology', 'Biodiversity and its Conservation', 'NEET', 'NEET 2006']
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-is-the-correctly-matched-pair-of-an-endangered-animal-and-a-national-park

slug:
which-one-of-the-following-is-the-correctly-matched-pair-of-an-endangered-animal-and-a-national-park-35287

question:
<div class="question">Which one of the following is the correctly matched pair of an endangered animal and a national park?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Great Indian : Keoladeo national Bustard park</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Lion : Corbett national park</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Rhinoceros : Kaziranga national park</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Wild Ass : Dudhwa national park</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Rhinoceros : Kaziranga national park</span> </div>

answer:
<div class="solution">Rhinoceros (Rhinoceros unicornis)<br/>- Kaziranga National Park, Assam<br/>Siberian Crane - Keoladeo National Park, Rajasthan<br/>Tiger - Jim Corbett National Park, Shimla<br/>Tiger - Dudhwa Tiger Reserve, UP<br/>Related Theory<br/>National Parks are the areas that are set by the government to conserve the natural environment. Sanctuary is a place of refuge where injured, abandoned and abused wildlife is allowed to live in peace in their natural environment without any human intervention.</div>


tags: ['Mathematics', 'Differential Equations', 'NDA', 'NDA 2010 (Phase 2)']
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-is-the-differential-equation-to-family-of-circles-having-centre-at-the-origin

slug:
which-one-of-the-following-is-the-differential-equation-to-family-of-circles-having-centre-at-the-origin-48055

question:
<div class="question">Which one of the following is the differential equation to family of circles having centre at the origin? $\quad$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\left(x^{2}-y^{2}\right) \frac{d y}{d x}=2 x y$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\left(x^{2}+y^{2}\right) \frac{d y}{d x}=2 x y$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\frac{d y}{d x}=\left(x^{2}+y^{2}\right)$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">$x d x+y d y=0$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$x d x+y d y=0$</span> </div>

answer:
<div class="solution">The equation of family of circles having centres at the origin is $x^{2}+y^{2}=r^{2}$<br/>where $r^{\prime}$ is the radius. Differentiate both side w.r.t. $x$, we get<br/>$$<br/>2 x+2 y \frac{d y}{d x}=0<br/>$$<br/>$$<br/>\begin{aligned}<br/>&amp; 2 x d x+2 y d y=0 \\<br/>\Rightarrow \quad &amp; x d x+y d y=0<br/>\end{aligned}<br/>$$<br/>which is required differential equation.</div>


tags: ['Biology', 'Human Reproduction', 'NEET']
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-is-the-incorrect-matching-of-the-events-occurring-during-the-menstrual-cycle

slug:
which-one-of-the-following-is-the-incorrect-matching-of-the-events-occurring-during-the-menstrual-cycle-43409

question:
<div class="question">Which one of the following is the incorrect matching of the events occurring during the menstrual cycle?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">The tertiary follicle further changes into the mature follicle or Graafian follicle.</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">Development of corpus luteum in the proliferative phase with increased secretion of progesterone.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">The secondary oocyte forms a new membrane called zona pellucida.</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">The Graafian follicle ruptures to release the secondary oocyte (ovum) from the ovary by the process called ovulation.</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Development of corpus luteum in the proliferative phase with increased secretion of progesterone.</span> </div>

answer:
<div class="solution">The corpus luteum is essential for establishing and maintaining pregnancy in females. In the ovary, the corpus luteum secretes estrogen and progesterone, which are steroid hormones responsible for the thickening of the endometrium and its development and maintenance, respectively.</div>


tags: ['Mathematics', 'Statistics', 'NDA', 'NDA 2011 (Phase 2)']
correct_option: <div class="correct-answer"> The correct answer is: <span class="option-value">19</span> </div>
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-is-the-mean-of-the-data-given-below-beginarraycccccccc-hlinexi-6-10-14-18-24-28-30-hlinefi-2-4-7-12-8-4-3-hline-endarray

slug:
which-one-of-the-following-is-the-mean-of-the-data-given-below-beginarraycccccccc-hlinexi-6-10-14-18-24-28-30-hlinefi-2-4-7-12-8-4-3-hline-endarray-31142

question:
<div class="question">Which one of the following is the mean of the data given below?<br/>\begin{array}{|c|c|c|c|c|c|c|c|}<br/>\hlinex_{i} &amp; 6 &amp; 10 &amp; 14 &amp; 18 &amp; 24 &amp; 28 &amp; 30 \\<br/>\hlinef_{i} &amp; 2 &amp; 4 &amp; 7 &amp; 12 &amp; 8 &amp; 4 &amp; 3 \\<br/>\hline<br/>\end{array}</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">17</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">18</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">19</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">20</span> </li> </ul>

answer:
<div class="solution">Given table can be rewritten \begin{array}{|ccc|}<br/>\hlinex_{i} &amp; f_{i} &amp; f_{i} x_{i} \\<br/>\hline 6 &amp; 2 &amp; 12 \\<br/>10 &amp; 4 &amp; 40 \\<br/>14 &amp; 7 &amp; 98 \\<br/>18 &amp; 12 &amp; 216 \\<br/>24 &amp; 8 &amp; 192 \\<br/>28 &amp; 4 &amp; 112 \\<br/>30 &amp; 3 &amp; 90 \\<br/>\hline Total &amp; 40 &amp; 760 \\<br/>\hline<br/>\end{array} So, required mean $=\frac{\sum f_{i} x_{i}}{\sum f_{i}}=\frac{760}{40}=19$</div>


title: which-one-of-the-following-is-the-most-abundant-protein-in-the-animals
slug: which-one-of-the-following-is-the-most-abundant-protein-in-the-animals-35420
question: <div class="question">Which one of the following is the most abundant protein in the animals?</div>
tags: ['Biology', 'Structural Organisation in Animals', 'NEET', 'NEET 2020 (Phase 1)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">Collagen</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Lectin</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Insulin</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Haemoglobin</span> </li> </ul>

answer:
<div class="solution"><p>Collagen is the most abundant protein in the animal world. This is one of the main components of our connective tissue and are associated with bones, cartilages, tendons, skin etc. It is the substance that holds the body together. Collagen forms a scaffold to provide strength and structure. </p><p>RuBisCO is the most abundant protein in the whole of the biosphere. RuBisCO is an enzyme involved in carbon fixation (photosynthesis), a process by which the atmospheric CO<sub>2</sub> is converted by plants to energy rich molecules i.e. glucose.</p></div>


title: which-one-of-the-following-is-the-plane-containing-the-line-2-x-2-3-y-3-5-z-4-and-parallel-to-zaxis
tags: ['Mathematics', 'Three Dimensional Geometry', 'NDA', 'NDA 2007 (Phase 1)']
source_db: MarksBatch2_P4.db
slug:
which-one-of-the-following-is-the-plane-containing-the-line-2-x-2-3-y-3-5-z-4-and-parallel-to-zaxis-76531

question:
<div class="question">Which one of the following is the plane containing the line<br/>$\frac{x-2}{2}=\frac{y-3}{3}=\frac{z-4}{5}$ and parallel to z-axis?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$2 x-3 y=0$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$5 x-2 z=0$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$5 y-3 z=0$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">$\quad 3 x-2 y=0 \quad$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\quad 3 x-2 y=0 \quad$</span> </div>

answer:
<div class="solution">The equation of the line is<br/>$\frac{x-2}{2}=\frac{y-3}{3}=\frac{z-4}{5}=r$<br/>where $\mathrm{r}$ is a constant. Any point on this line, is given by $x=2 r+2, y=3 r+2$ and $z=5 r+4$<br/>Since, a plane that is parallel to z-axis will have no zco-ordinate, $z=0$<br/>$\mathrm{z}=0 \Rightarrow 5 \mathrm{r}+4=0$ or, $\mathrm{r}=\frac{-4}{5}$<br/>Putting this value of $\mathrm{r}$ for $\mathrm{x}$ and $\mathrm{y}$ co-ordinates.<br/>$\mathrm{x}=2 \mathrm{r}+2=2 \times\left(-\frac{4}{5}\right)+2$<br/>or, $5 \mathrm{x}=-8+10=2$<br/>$\mathrm{x}=\frac{2}{5}$, or $\frac{2}{\mathrm{x}}=5$<br/>Similarly, $\mathrm{y}=3 \mathrm{r}+3=3 \times\left(-\frac{4}{5}\right)+3$<br/>or, $5 \mathrm{y}=-12+15=3$<br/>$\mathrm{y}=\frac{3}{5} \Rightarrow \frac{3}{\mathrm{y}}=5$<br/>From equations (1) and (2)<br/>$\frac{2}{x}=\frac{3}{y} \Rightarrow 3 x-2 y=0$</div>


title: which-one-of-the-following-is-the-unit-vector-perpendicular-to-both-a-i-j-k-and-b-i-j-k
slug: which-one-of-the-following-is-the-unit-vector-perpendicular-to-both-a-i-j-k-and-b-i-j-k-63303
tags: ['Mathematics', 'Vector Algebra', 'NDA', 'NDA 2014 (Phase 2)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following is the unit vector perpendicular to both $\overrightarrow{\mathrm{a}}=-\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{b}}=\hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}}$ ?</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">$\frac{\hat{\mathrm{i}}+\hat{\mathrm{j}}}{\sqrt{2}}$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\hat{\mathrm{k}}$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\frac{\hat{\mathrm{j}}+\hat{\mathrm{k}}}{\sqrt{2}}$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\frac{\hat{\mathrm{i}}-\hat{\mathrm{j}}}{\sqrt{2}}$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\frac{\hat{\mathrm{i}}+\hat{\mathrm{j}}}{\sqrt{2}}$</span> </div>

answer:
<div class="solution">According to question $\vec{a}=-\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$<br/>Then, $\vec{a} \times \vec{b}=\left|\begin{array}{lll}\hat{i} &amp; \hat{j} &amp; \hat{k} \\ -1 &amp; 1 &amp; 1 \\ 1 &amp; -1 &amp; 1\end{array}\right|$<br/>$=\hat{i}[1+1]-\hat{j}[-1-1]+\hat{k}[1-1]$<br/>$=2 \hat{i}+2 \hat{j}+0=2(\hat{i}+\hat{j})$<br/>and $|\vec{a} \times \vec{b}|=\sqrt{4+4}=2 \sqrt{2}$<br/>$\therefore$ Required unit vector $=\pm \frac{2(\hat{i}+\hat{j})}{2 \sqrt{2}}=\pm \frac{\hat{i}+\hat{j}}{\sqrt{2}}$</div>


title: which-one-of-the-following-is-the-unit-vector-perpendicular-to-the-vectors-4-i-2-j-and-3-i-2-j
tags: ['Mathematics', 'Vector Algebra', 'NDA', 'NDA 2011 (Phase 1)']
source_db: MarksBatch2_P4.db
slug:
which-one-of-the-following-is-the-unit-vector-perpendicular-to-the-vectors-4-i-2-j-and-3-i-2-j-92233

question:
<div class="question">Which one of the following is the unit vector<br/>perpendicular to the vectors $4 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}$ and $-3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}$ ?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\frac{\hat{\mathbf{i}}+\hat{\mathbf{j}}}{\sqrt{2}}$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\frac{\hat{\mathbf{i}}-\hat{\mathbf{j}}}{\sqrt{2}}$</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">$\hat{\mathbf{k}}$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\frac{\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}}{\sqrt{3}}$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\hat{\mathbf{k}}$</span> </div>

answer:
<div class="solution">Let vector $x \hat{i}+y \hat{j}+z \hat{k}$ be perpendicular to vectors<br/>$\hat{4} \hat{i}+2 \hat{j}$ and $-3 \hat{i}+2 \hat{j}$<br/>Their dot product is zero. <br/>$\therefore \quad 4 x+2 y=0$ ...(i)<br/>and $-3 x+2 y=0 \quad$... (ii) <br/>From eqs. (i) and (ii), $x=0, y=0$<br/>Hence, required vector is $\hat{k}$.</div>


title: which-one-of-the-following-is-true-during-ageing
slug: which-one-of-the-following-is-true-during-ageing-10581
question: <div class="question">Which one of the following is true during ageing?</div>
tags: ['Biology', 'Locomotion and Movement', 'NEET']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">The decreased bone mass and increased chances of fractures</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Decrease in blood urea and GFR</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Decrease in cholesterol content of cornea and lens</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Decrease in calcium content of arteries and cartilage</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">The decreased bone mass and increased chances of fractures</span> </div>

answer:
<div class="solution">Ageing is associated both with calcium deficiency, due to low dietary intake and decreased intestinal absorption, and with vitamin D deficiency, the secondary depletion of body stores resulting from inadequate exposure to sunlight.<br/><br/>The consequences of calcium deficiency might thus include not only osteoporosis, but also the decreased bone mass and increased chances of fractures.</div>


title: which-one-of-the-following-is-true
slug: which-one-of-the-following-is-true-16495
question: <div class="question">Which one of the following is true?</div>
tags: ['Chemistry', 'General Principles and Processes of Isolation of Metals', 'KCET', 'KCET 2011']
answer: <div class="solution">$\mathrm{NaOH}$ is used in the concentration of bauxite ore.</div>
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">$\mathrm{NaOH}$ is used in the concentration of bauxite ore</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\mathrm{NaOH}$ is a primary standard in volumetric analysis</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Manganous hydroxide is soluble in excess of $\mathrm{NaOH}$ solution</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\mathrm{NaOH}$ solution does not react with $\mathrm{Cl}$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\mathrm{NaOH}$ is used in the concentration of bauxite ore</span> </div>


title: which-one-of-the-following-is-wrong-for-fungi
slug: which-one-of-the-following-is-wrong-for-fungi-30702
question: <div class="question">Which one of the following is <b>wrong</b> for fungi?</div>
tags: ['Biology', 'Biological Classification', 'NEET', 'NEET 2016 (Phase 2)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">They are eukaryotic</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">All fungi possess a purely cellulosic cell wall</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">They are heterotrophic</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">They are both unicellular and multicellular</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">All fungi possess a purely cellulosic cell wall</span> </div>

answer:
<div class="solution">The cell wall of fungi is made up of chitin and polysaccharides. Chitin is the most abundant amino polysaccharide, a long-chain polymer of N-acetylglucosamine is a derivative of glucose occurring in nature, and is the building material that gives strength to the exoskeletons of crustaceans, insects, and the cell walls of fungi.</div>


title: which-one-of-the-following-makes-use-of-rna-as-a-template-to-synthesize-dna
slug: which-one-of-the-following-makes-use-of-rna-as-a-template-to-synthesize-dna-53310
tags: ['Biology', 'Molecular Basis of Inheritance', 'JIPMER', 'JIPMER 2007']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following makes use of RNA as a template to synthesize DNA?</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">Reverse transcriptase</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">DNA dependant RNA polymerase</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">DNA polymerase</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">RNA polymerase</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Reverse transcriptase</span> </div>

answer:
<div class="solution">In 1970 H. Temin and D. Baltimore independently discovered the enzyme reverse transcriptase. This enzyme uses RNA as template for the synthesis of C-DNA (Complementary DNA).<br/>$\begin{gathered}\text { RNA } \\ \downarrow \\ \mathrm{C}-\mathrm{DNA}\end{gathered}$ Reverse transcriptase used RNA as  template</div>


title: which-one-of-the-following-makes-use-of-rna-template-to-synthesize-dna
slug: which-one-of-the-following-makes-use-of-rna-template-to-synthesize-dna-30307
question: <div class="question">Which one of the following makes use of RNA template to synthesize DNA?</div>
tags: ['Biology', 'Molecular Basis of Inheritance', 'NEET', 'NEET 2005']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">DNA polymerase</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">RNA polymerase</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">reverse transcriptase</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">DNA dependant RNA polymerase.</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">reverse transcriptase</span> </div>

answer:
<div class="solution">Reverse transcriptase use an RNA template and a short primer complementary to the $3^{\prime}$ end of the RNA to direct the synthesis of the first strand cDNA.</div>


title: which-one-of-the-following-matrices-is-an-elementary-matrix
slug: which-one-of-the-following-matrices-is-an-elementary-matrix-12518
question: <div class="question">Which one of the following matrices is an elementary matrix?</div>
tags: ['Mathematics', 'Matrices', 'NDA', 'NDA 2015 (Phase 1)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\left[\begin{array}{lll}1 &amp; 0 &amp; 0 \\ 0 &amp; 0 &amp; 0 \\ 0 &amp; 0 &amp; 1\end{array}\right]$</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$\left[\begin{array}{lll}1 &amp; 5 &amp; 0 \\ 0 &amp; 1 &amp; 0 \\ 0 &amp; 0 &amp; 1\end{array}\right]$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\left[\begin{array}{lll}0 &amp; 2 &amp; 0 \\ 1 &amp; 0 &amp; 0 \\ 0 &amp; 0 &amp; 1\end{array}\right]$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\left[\begin{array}{lll}1 &amp; 0 &amp; 0 \\ 0 &amp; 1 &amp; 0 \\ 0 &amp; 5 &amp; 2\end{array}\right]$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\left[\begin{array}{lll}1 &amp; 5 &amp; 0 \\ 0 &amp; 1 &amp; 0 \\ 0 &amp; 0 &amp; 1\end{array}\right]$</span> </div>

answer:
<div class="solution"><img src="https://cdn-question-pool.getmarks.app/pyq/nda/8lniZPSqOkWy2HyTzDKbMjswLUOaLHh4lKx456DqYXQ.original.fullsize.png"/><br/><br/>An elementary matrix has each diagonal element $1 .$ So, option (b) is correct answer.</div>


title: which-one-of-the-following-may-be-the-parameter-of-a-binomial-distribution
slug: which-one-of-the-following-may-be-the-parameter-of-a-binomial-distribution-83755
tags: ['Mathematics', 'Probability', 'NDA', 'NDA 2013 (Phase 2)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following may be the parameter of a binomial distribution?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\quad n p=2, n p q=4$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$n=4, p=\frac{3}{2}$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\quad n=8, p=1$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">$\quad n p=10, n p q=8$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\quad n p=10, n p q=8$</span> </div>

answer:
<div class="solution">For binomial distribution $\mathrm{p}   &lt; 1, \mathrm{q} &lt; 1$ and $\mathrm{p}+\mathrm{q}=1$</div>


tags: ['Mathematics', 'Statistics', 'NDA', 'NDA 2013 (Phase 2)']
correct_option: <div class="correct-answer"> The correct answer is: <span class="option-value">Median</span> </div>
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-measures-is-determined-only-after-the-construction-of-cumulative-frequency-distribution

slug:
which-one-of-the-following-measures-is-determined-only-after-the-construction-of-cumulative-frequency-distribution-37304

question:
<div class="question">Which one of the following measures is determined only after the construction of cumulative frequency distribution</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Arithmetic mean</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Mode</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Median</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Geometric</span> </li> </ul>

answer:
<div class="solution">After construction of cumulative frequency distribution, we can find out median easily.</div>


title: which-one-of-the-following-measures-of-central-tendency-is-used-in-construction-of-index-numbers
tags: ['Mathematics', 'Statistics', 'NDA', 'NDA 2015 (Phase 1)']
source_db: MarksBatch2_P4.db
slug:
which-one-of-the-following-measures-of-central-tendency-is-used-in-construction-of-index-numbers-70566

question:
<div class="question">Which one of the following measures of central tendency is. used in construction of index numbers? $\quad$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Harmonicmean</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">Geometric mean</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Median</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Mode</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Geometric mean</span> </div>

answer:
<div class="solution">Geometric mean is used in construction of index numbers. option (b) is correct.</div>


title: which-one-of-the-following-on-reduction-with-lithium-aluminium-hydride-yields-a-secondary-amine-1
tags: ['Chemistry', 'Amines', 'NEET', 'NEET 2007']
source_db: MarksBatch2_P4.db
slug:
which-one-of-the-following-on-reduction-with-lithium-aluminium-hydride-yields-a-secondary-amine-1-59974

question:
<div class="question">Which one of the following on reduction with lithium aluminium hydride yields a secondary amine?</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">Methylisocyanide</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Acetamide</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Methyl cyanide</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Nitroethane</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Methylisocyanide</span> </div>

answer:
<div class="solution">$\mathrm{R}-\mathrm{N} \equiv \mathrm{C}+4[\mathrm{H}] \stackrel{\mathrm{LAIH}_4}{\longrightarrow} \underset{2^{\circ} \text { amine }}{\mathrm{R}-\mathrm{NH}-\mathrm{CH}_3}$
<br/>On reaction with $\mathrm{LiAlH}_4$, Isocyanate groups gives secondary amines whereas, alkyl cyanides give $1^{\circ}$ amine on reduction.
<br/>Related Theory
<br/>LiAlH $_4$ is a nucleophilic reducing agent since the hydride transfer to the carbonyl carbon occurs prior to the coordination to the carbonyl oxygen. It reacts faster with electron deficient carbonyl groups. The reactivity of carbonyl compounds with this reagent follows the order: Aldehydes $&gt;$ Ketones $&gt;$ ester $&gt;$ amide $&gt;$ carboxylic acid.</div>


title: which-one-of-the-following-on-reduction-with-lithium-aluminium-hydride-yields-a-secondary-amine
tags: ['Chemistry', 'Amines', 'NEET']
source_db: MarksBatch2_P4.db
slug:
which-one-of-the-following-on-reduction-with-lithium-aluminium-hydride-yields-a-secondary-amine-30881

question:
<div class="question">Which one of the following on reduction with lithium aluminium hydride yields a secondary amine ?</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">Methyl isocyanide</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Acetamide</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Methyl cyanide</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Nitroethane</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Methyl isocyanide</span> </div>

answer:
<div class="solution">Alkyl isocyanides on reduction with lithium aluminium hydride forms secondary amines containing methyl as one of the the alkyl groups.<br/><br/><img alt="" src="https://cdn-question-pool.getmarks.app/nta_abhyas/neet/images/EM0020054_AnsExp_1.jpg" style="width: 304px; height: 57px;"/><br/><br/><img alt="" src="https://cdn-question-pool.getmarks.app/nta_abhyas/neet/images/EM0020054_AnsExp_2.jpg" style="width: 365px; height: 54px;"/></div>


title: which-one-of-the-following-operations-on-sets-is-notcorrect-where-b-denotes-the-complement-of-b
tags: ['Mathematics', 'Sets and Relations', 'NDA', 'NDA 2006 (Phase 1)']
source_db: MarksBatch2_P4.db
slug:
which-one-of-the-following-operations-on-sets-is-notcorrect-where-b-denotes-the-complement-of-b-72414

question:
<div class="question">Which one of the following operations on sets is notcorrect where B' denotes the complement of B?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\left(\mathrm{B}-\mathrm{A}^{\prime}\right) \cup\left(\mathrm{A}^{\prime}-\mathrm{B}^{\prime}\right)=(\mathrm{A} \cup \mathrm{B})-(\mathrm{A} \cap \mathrm{B})$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$(\mathrm{A}-\mathrm{B}) \cup(\mathrm{B}-\mathrm{A})=\left(\mathrm{A}^{\prime} \cup \mathrm{B}^{\prime}\right)-\left(\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}\right)$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\left(B^{\prime}-A^{\prime}\right) \cap\left(A^{\prime}-B^{\prime}\right)=(B-A) \cap(A-B)$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">$\left(\mathrm{B}-\mathrm{A}^{\prime}\right) \cap\left(\mathrm{A}^{\prime}-\mathrm{B}^{\prime}\right)=\left(\mathrm{B}-\mathrm{A}^{\prime}\right) \cup\left(\mathrm{A}^{\prime}-\mathrm{B}\right)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\left(\mathrm{B}-\mathrm{A}^{\prime}\right) \cap\left(\mathrm{A}^{\prime}-\mathrm{B}^{\prime}\right)=\left(\mathrm{B}-\mathrm{A}^{\prime}\right) \cup\left(\mathrm{A}^{\prime}-\mathrm{B}\right)$</span> </div>

answer:
<div class="solution">Let there be two sets $\mathrm{A}$ and $\mathrm{B}$ and universal set of $\mathrm{A}$ and $\mathrm{B}$, be $\mathrm{U}$<br/>Then drawing these sets on a Venn-diagram, four regions are created as shown in the figure<br/><img src="https://cdn-question-pool.getmarks.app/pyq/nda/wNyrIVC8_MTyLWpAil4Pg3O_wYQHqtaPFUaK1Mdcx2w.original.fullsize.png"/><br/><br/>$\mathrm{B}=$ regions $\mathrm{b}, \mathrm{c}$<br/>$\mathbf{B}^{\prime}$ =regions a, d $\mathrm{A}=$ regions $\mathrm{a}, \mathrm{b}$<br/>$\mathrm{A}^{\prime}=$ regions $\mathrm{c}, \mathrm{d}$<br/>$\mathrm{A}-\mathrm{B}=$ region a<br/>$B-A=$ region $c$ $\mathrm{B}^{\prime}-\mathrm{A}^{\prime}$ =region a<br/>$\mathrm{A}^{\prime}-\mathrm{B}^{\prime}=$ region $\mathrm{c}$<br/>$B-A^{\prime}=$ region $b$ $\mathrm{A}^{\prime}-\mathrm{B}=$ region $\mathrm{d}$<br/>From these we check the operations given in the choice choices (a), (b) and (c) are correct<br/>(d) $\mathrm{LHS}=\mathrm{region} \mathrm{a} \cap \mathrm{c}=\phi$<br/>$\mathrm{RHS}=$ region b $\cup$ region $\mathrm{d}=\mathrm{b}, \mathrm{d}$<br/>So, for (d) LHS $\neq$ RHS</div>


title: which-one-of-the-following-options-is-correct
slug: which-one-of-the-following-options-is-correct-19621
question: <div class="question">Which one of the following options is correct?</div>
tags: ['Mathematics', 'Sequences and Series', 'NDA', 'NDA 2011 (Phase 1)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\sin ^{2} 30^{\circ}, \sin ^{2} 45^{\circ}, \sin ^{2} 60^{\circ}$ are in GP</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\cos ^{2} 30^{\circ}, \cos ^{2} 45^{\circ}, \cos ^{2} 60^{\circ}$ are in GP</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\cot ^{2} 30^{\circ}, \cot ^{2} 45^{\circ}, \cot ^{2} 60^{\circ}$ are in GP</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">$\tan ^{2} 30^{\circ}, \tan ^{2} 45^{\circ}, \tan ^{2} 60^{\circ}$ are in GP</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\tan ^{2} 30^{\circ}, \tan ^{2} 45^{\circ}, \tan ^{2} 60^{\circ}$ are in GP</span> </div>

answer:
<div class="solution">Three numbers a, b and c will be in G.P. if $b^{2}=a c$. Only option (d) i.e. $\tan ^{2} 30^{\circ}, \tan ^{2} 45^{\circ}$ and $\tan ^{2} 60^{\circ}$ are<br/>in GP.<br/>$\because \quad \tan ^{2} 30^{\circ}=\frac{1}{3}$<br/>$\tan ^{2} 45^{\circ}=1$<br/>and $\tan ^{2} 60^{\circ}=3$<br/>$\tan ^{2} 30^{\circ}, \tan ^{2} 45^{\circ}$ and $\tan ^{2} 60^{\circ}$ are in G.P.</div>


title: which-one-of-the-following-pairs-is-not-correctly-matched-4
slug: which-one-of-the-following-pairs-is-not-correctly-matched-4-32701
question: <div class="question">Which one of the following pairs is not correctly matched?</div>
tags: ['Mathematics', 'Trigonometric Ratios & Identities', 'NDA', 'NDA 2008 (Phase 1)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\sin 2 \pi$ : $\sin (-2 \pi)$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\tan 45^{\circ}: \tan \left(-315^{\circ}\right)$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\cot \left(\tan ^{-1} 0.5\right)$ : $\tan \left(\cos ^{-1} 0.5\right)$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">$\tan 420^{\circ} : \tan \left(-60^{\circ}\right)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\tan 420^{\circ} : \tan \left(-60^{\circ}\right)$</span> </div>

answer:
<div class="solution">Fourth pair is not correct matched explained below $\tan 420^{\circ}=\tan (360+60)=\tan 60^{\circ}$<br/>$\tan 60^{\circ} \neq \tan \left(-60^{\circ}\right)$</div>


title: which-one-of-the-following-pairs-of-chemical-substances-is-correctly-categorised
slug: which-one-of-the-following-pairs-of-chemical-substances-is-correctly-categorised-43564
tags: ['Biology', 'Chemical Coordination and Integration', 'NEET', 'NEET 2012 (Mains)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following pairs of chemical substances, is correctly categorised?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Calcitonin and thymosin-Thyroid hormones</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Pepsin and prolactin-Two digestive enzymes secreted in stomach</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Troponin and myosin-Complex proteins in striated muscles</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Secretin and rhodopsin-Polypeptide hormones</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Troponin and myosin-Complex proteins in striated muscles</span> </div>

answer:
<div class="solution">Striated muscle consists of large number of muscle fibres called myofibrils. Myofibrils are made up of actin and myosin protein. The actin or secondary myofilaments also possess troponin and tropomyosin protein.<br/>Thymosin hormone is secreted from thymus gland. Prolactin is a hormone secreted from anterior lobe of pituitary<br/>Rhodopsin is a pigment found in rod cells of eye.</div>


tags: ['Biology', 'Chemical Coordination and Integration', 'NEET']
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-pairs-of-hormones-are-the-examples-of-those-that-can-easily-pass-through-the-cell-membrane-of-the-target-cell-and-bind-to-a-1

slug:
which-one-of-the-following-pairs-of-hormones-are-the-examples-of-those-that-can-easily-pass-through-the-cell-membrane-of-the-target-cell-and-bind-to-a-1-31606

question:
<div class="question">Which one of the following pairs of hormones are the examples of those that can easily pass through the cell membrane of the target cell and bind to a receptor inside it (mostly in the nucleus)?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Thyroxine, Insulin</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Somatostatin, oxytocin</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Cortisol, Thyroxine</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Insulin, glucagon</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Cortisol, Thyroxine</span> </div>

answer:
<div class="solution">Hormonal action depends on whether the hormone is Lipid or water soluble. Lipid soluble hormones can cross the target cell membrane easily, get attached to the mobile receptors within the cytoplasm and reach the nucleus to perform their functions. Examples are cortisol, thyroxine, estrogen, progesterone etc. However water soluble hormones are proteinaceous and these include insulin, oxytocin etc. These cannot cross the cell membrane easily. These get attached to the static receptors on the cell membrane. This attachment triggers the formation of secondary messengers that help these hormones to act on cells. Estrogen and Progesterone are steroid hormones that means these are lipid soluble hormones. Hence these attach to receptors within the cytoplasm.</div>


title: which-one-of-the-following-pairs-of-plant-structures-has-haploid-number-of-chromosomes-1
slug: which-one-of-the-following-pairs-of-plant-structures-has-haploid-number-of-chromosomes-1-96124
tags: ['Biology', 'Sexual Reproduction in Flowering Plants', 'NEET', 'NEET 2008 (Mains)']
answer: <div class="solution">Egg cell and antipodal cells : They are part of the female gametophyte.</div>
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following pairs of plant structures has haploid number of chromosomes?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Egg nucleus and secondary nucleus</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Megaspore mother cell and antipodal cells</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Egg cell and antipodal cells</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Nucellus and antipodal cells</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Egg cell and antipodal cells</span> </div>


title: which-one-of-the-following-pairs-of-plant-structures-has-haploid-number-of-chromosomes-2
slug: which-one-of-the-following-pairs-of-plant-structures-has-haploid-number-of-chromosomes-2-11330
tags: ['Biology', 'Sexual Reproduction in Flowering Plants', 'NEET', 'NEET 2008 (Screening)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following pairs of plant structures has haploid number of chromosomes?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Megaspore mother cell and antipodal cells</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">Egg cell and antipodal cells</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Nucellus and antipodal cells</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Egg nucleus and secondary nucleus</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Egg cell and antipodal cells</span> </div>

answer:
<div class="solution">In angiosperms a single diploid megaspore mother cell matures within an ovule. Through meiosis it gives rise to four megaspores (haploid). In most plants only one of these megaspores survive. This functional megaspore divides three times by mitosis and produces eight haploid nuclei enclosed within a 7-celled embryo sac. One nucleus is located near the opening of embryo sac in egg cell. Two nuclei are located in a single cell in the midde of embryo sac and are called polar nuclei, two nuclei are contained in cells called synergids that flank the egg cell and other three nuclei are resided in the cells called antipodals, located at the end of embryo sac, opposite the egg cell.<br/>Nucellus is centrally located mass of thin-walled parenchymatous cells covered by integuments in ovule.</div>


title: which-one-of-the-following-pairs-of-plant-structures-has-haploid-number-of-chromosomes
slug: which-one-of-the-following-pairs-of-plant-structures-has-haploid-number-of-chromosomes-86414
tags: ['Biology', 'Sexual Reproduction in Flowering Plants', 'AIIMS', 'AIIMS 2008']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following pairs of plant structures has haploid number of chromosomes?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Nucellus and antipodal cells</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Egg nucleus and secondary nucleus</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Megaspore mother cell and antipodal cells</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Egg cell and antipodal cells</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Egg cell and antipodal cells</span> </div>

answer:
<div class="solution">The egg cell is one of the haploid cell of egg apparatus present in the micropylar end of embryo sac in seeded plants. It is also called oosphere and represents the single female gamete of the embryo sac. Antipodal cells are the haploid cells, usually three in number, present in embryo sac at the opposite end of micropyle. Their function is unknown and at fertilization, they may disintegrate or multiply and enlarge.</div>


title: which-one-of-the-following-pairs-of-plants-structures-has-a-haploid-number-of-chromosomes
slug: which-one-of-the-following-pairs-of-plants-structures-has-a-haploid-number-of-chromosomes-79524
tags: ['Biology', 'Sexual Reproduction in Flowering Plants', 'NEET']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following pairs of plants structures has a haploid number of chromosomes?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Nucellus and antipodal cells</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Egg nucleus and secondary nucleus</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Megaspore mother cell and antipodal cells</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Egg cell and antipodal cells</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

answer:
<div class="solution">The nucleus undergoes three divisions to produce 8 haploid nuclei which get organised into three groups: egg apparatus towards the micropylar end, two middle polar nuclei or secondary nucleus and three antipodal cells towards the chalazal end.</div>


title: which-one-of-the-following-pairs-of-substances-on-reaction-will-not-evolve-h-2-gas
slug: which-one-of-the-following-pairs-of-substances-on-reaction-will-not-evolve-h-2-gas-74229
tags: ['Chemistry', 's Block Elements', 'JEE Main']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following pairs of substances on reaction will not evolve <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi mathvariant="normal">H</mi><mn>2</mn></msub></math> gas?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Iron and steam</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Iron and <math><mrow><msub><mtext>H</mtext> <mn>2</mn> </msub> <mtext>S</mtext><msub> <mtext>O</mtext> <mn>4</mn> </msub> </mrow> </math> (aqueous)</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Copper and <math> <mrow> <mtext>HCl</mtext></mrow> </math> (aqueous)</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Sodium and ethyl alcohol</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Copper and <math> <mrow> <mtext>HCl</mtext></mrow> </math> (aqueous)</span> </div>

answer:
<div class="solution"><math> <mrow> <mtext>Fe</mtext><mo>+</mo><mtext>dil</mtext><mo>.</mo><mtext>â</mtext><msub> <mtext>H</mtext> <mn>2</mn> </msub> <msub> <mrow> <mtext>SO</mtext></mrow> <mn>4</mn> </msub> <mo>â</mo><msub> <mrow> <mtext>FeSO</mtext></mrow> <mtext>4</mtext> </msub> <mo>+</mo><msub> <mtext>H</mtext> <mn>2</mn> </msub> <mo>â</mo></mrow> </math><br/><br/><math> <mrow> <mn>3</mn><mtext>â</mtext><mtext>Fe</mtext><mo>+</mo><mn>4</mn><msub> <mtext>H</mtext> <mn>2</mn> </msub> <mtext>O</mtext><mfenced> <mtext>g</mtext> </mfenced><mo>â</mo><msub> <mrow> <mtext>Fe</mtext></mrow> <mn>3</mn> </msub> <msub> <mtext>O</mtext> <mn>4</mn> </msub> <mo>+</mo><mn>4</mn><msub> <mtext>H</mtext> <mn>2</mn> </msub> <mo>â</mo></mrow> </math><br/><br/><math> <mrow> <mtext>Cu</mtext><mo>+</mo><mtext>dil</mtext><mtext>.</mtext><mtext>â</mtext><mtext>HCl</mtext><mo>â</mo></mrow> </math> No reaction<br/><br/><math><mn>2</mn><mi>Na</mi><mo>+</mo><msub><mi mathvariant="normal">C</mi><mn>2</mn></msub><msub><mi mathvariant="normal">H</mi><mn>5</mn></msub><mi>OH</mi><mo>â</mo><mn>2</mn><msub><mi mathvariant="normal">C</mi><mn>2</mn></msub><msub><mi mathvariant="normal">H</mi><mn>5</mn></msub><mi>ONa</mi><mo>+</mo><msub><mi mathvariant="normal">H</mi><mn>2</mn></msub><mo>â</mo></math><br/><br/>Copper does not evolve <math> <mrow> <msub> <mn>H</mn> <mn>2</mn> </msub> </mrow> </math> from acid as it is below hydrogen in electrochemical series. The electrochemical series is built up by arranging various redox equilibria in order of their standard electrode potential (redox potential). The most negative <math> <mrow> <mn>E</mn><mo>Â°</mo> </mrow> </math> values are placed at the top of the electrochemical series, and the most positive at the bottom.<br/><br/>Metals at the top of the series are good at giving away electrons.</div>


title: which-one-of-the-following-planes-contains-the-zaxis
slug: which-one-of-the-following-planes-contains-the-zaxis-76350
question: <div class="question">Which one of the following planes contains the z-axis?</div>
tags: ['Mathematics', 'Three Dimensional Geometry', 'NDA', 'NDA 2008 (Phase 1)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\quad x-z=0$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\mathrm{z}+\mathrm{y}=0$</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">$3 x+2 y=0$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\quad 3 x+2 z=0 \quad$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$3 x+2 y=0$</span> </div>

answer:
<div class="solution">Theequation of planewhich contains z-axis is $3 \mathrm{x}+2 \mathrm{y}=0$ as $\mathrm{z}$ is absent in this equation.</div>


title: which-one-of-the-following-planes-is-normal-to-the-plane-3-x-y-z-5
slug: which-one-of-the-following-planes-is-normal-to-the-plane-3-x-y-z-5-70278
tags: ['Mathematics', 'Three Dimensional Geometry', 'NDA', 'NDA 2008 (Phase 2)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following planes is normal to the plane $3 x+y+z=5 ? \quad$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$x+2 y+z-6$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$x-2 y+z-6$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$x+2 y-z=6$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">$x-2 y-z=6$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$x-2 y-z=6$</span> </div>

answer:
<div class="solution">Direction cosines of the normal to the plane $3 x+y+z=5$ are $3,1,1$<br/>Direction cosines of the normal to the plane $x-2 y-z=6$ are $1,-2,-1$<br/>Sum of the product of direction cosines $=3 \times 1+1 \times(-2)+1 \times(-1)=0$<br/>Hence, normals to the two planes are perpendicular to each other. Therefore two planes are alsoperpendicular.</div>


title: which-one-of-the-following-plants-shows-vexillary-aestivation-and-diadelphous-stamens
slug: which-one-of-the-following-plants-shows-vexillary-aestivation-and-diadelphous-stamens-39477
tags: ['Biology', 'Morphology of Flowering Plants', 'NEET', 'NEET 2022 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following plants shows vexillary aestivation and diadelphous stamens?</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><em>Pisum sativum</em></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><em>Allium cepa</em></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><em>Solanum nigrum</em></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><em>Colchicum autumnale</em></span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value"><em>Pisum sativum</em></span> </div>

answer:
<div class="solution"><ul> <li>Inflorescence: racemose</li> <li>Flower: bisexual, zygomorphic</li> <li>Calyx: sepals five, gamosepalous; valvate/imbricate aestivation</li> <li>Corolla: petals five, polypetalous, papilionaceous, consisting of a posterior standard, two lateral wings, two anterior ones forming a keel (enclosing stamens and pistil), vexillary aestivation. </li> <li>Androecium: ten, diadelphous, anther dithecous </li> <li>Gynoecium: ovary superior, mono carpellary, unilocular with many ovules, style single.</li></ul></div>


title: which-one-of-the-following-points-lies-inside-a-circle-of-radius-6-and-centre-at-3-5
slug: which-one-of-the-following-points-lies-inside-a-circle-of-radius-6-and-centre-at-3-5-68193
tags: ['Mathematics', 'Circle', 'NDA', 'NDA 2013 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following points lies inside a circle of radius 6 and centre at $(3,5) ?$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$(-2,-1)$</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$(0,1)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$(-1,-2)$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$(2,-1)$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$(0,1)$</span> </div>

answer:
<div class="solution">Radius of circle $=6$, centre $=(3,5)$ $\therefore \quad$ Equation of circle is $\begin{aligned} &amp; \mathrm{S} \equiv(\mathrm{x}-3)^{2}+(\mathrm{y}-5)^{2}=(6)^{2} \\ \Rightarrow \quad \mathrm{S} &amp; \equiv(\mathrm{x}-3)^{2}+(\mathrm{y}-5)^{2}-36 \end{aligned}$<br/>Now, consider all the four options.<br/>(a) $(-2,-1)$<br/>Put it in $\mathrm{S}$ $\mathrm{S} \equiv(-2-3)^{2}+(-1-5)^{2}-36=25+36-36=25&gt;0$<br/>$\Rightarrow(-2,-1)$ is outside the circle. (b) $(0,1)$<br/>$\mathrm{S} \equiv(0-3)^{2}+(1-5)^{2}-36$<br/>$=9+16-36=25-36=-11   &lt; 0$<br/>Hence, $(0,1)$ lies inside a circle.</div>


title: which-one-of-the-following-points-lies-on-the-plane-2-x3-y6-z21
slug: which-one-of-the-following-points-lies-on-the-plane-2-x3-y6-z21-91747
question: <div class="question">Which one of the following points lies on the plane $2 x+3 y-6 z=21 ?</div>
tags: ['Mathematics', 'Three Dimensional Geometry', 'NDA', 'NDA 2011 (Phase 1)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$(3,2,2)$</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$(3,7,1)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$(1,2,3)$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$(2,1,-1)$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$(3,7,1)$</span> </div>

answer:
<div class="solution">Only point $(3,7,1)$ satisfy the equation of plane<br/>$2 x+3 y-6 z=21$<br/>Hence, $(3,7,1)$ lies on the plane</div>


title: which-one-of-the-following-points-lies-outside-the-ellipse-x-2-a-2-y-2-b-2-1
slug: which-one-of-the-following-points-lies-outside-the-ellipse-x-2-a-2-y-2-b-2-1-98420
tags: ['Mathematics', 'Ellipse', 'NDA', 'NDA 2006 (Phase 2)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following points lies outside the ellipse $\left(\mathrm{x}^{2} / \mathrm{a}^{2}\right)+\left(\mathrm{y}^{2} / \mathrm{b}^{2}\right)=1$ ?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$(\mathrm{a}, 0)$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$(0, b)$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$(-a, 0)$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">$(a, b)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$(a, b)$</span> </div>

answer:
<div class="solution">The equation of ellipse is $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}-1=0$<br/>The point for which $\frac{\mathrm{x}^{2}}{\mathrm{a}^{2}}+\frac{\mathrm{y}^{2}}{\mathrm{~b}^{2}}-1&gt;0$ is outsideellipse<br/>Since, at $(a, 0), 1+0-1=0$<br/>It lies on the ellipse. $\operatorname{At}(0, b), 0+1-1=0$<br/>It lies on the ellipse.<br/>$\operatorname{At}(-a, 0), 1+0-1=0$<br/>It lies on the ellipse. $\mathrm{At}(\mathrm{a}, \mathrm{b}), 1+1-1&gt;0$<br/>So, the point $(a, b)$ lies outside the ellipse</div>


title: which-one-of-the-following-points-on-the-line-2-x-3-y-5-is-equidistant-from-1-2-and-3-4
slug: which-one-of-the-following-points-on-the-line-2-x-3-y-5-is-equidistant-from-1-2-and-3-4-57040
tags: ['Mathematics', 'Straight Lines', 'NDA', 'NDA 2007 (Phase 2)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following points on the line $2 \mathrm{x}-3 \mathrm{y}=5$ is equidistant from $(1,2)$ and $(3,4) ?$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$(7,3)$</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$(4,1)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$(1,-1)$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$(-2,-3)$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$(4,1)$</span> </div>

answer:
<div class="solution">Let point $\mathrm{P}\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)$ be equidistant from point $\mathrm{A}(1,2)$ and $\mathrm{B}(3,4)$.<br/>$\begin{array}{ll}\therefore &amp; \mathrm{PA}=\mathrm{PB} \\ \Rightarrow &amp; \mathrm{PA}^{2}=\mathrm{PB}^{2} \\ \Rightarrow &amp; \left(1-\mathrm{x}_{1}\right)^{2}+\left(2-\mathrm{y}_{1}\right)^{2}=\left(3-\mathrm{x}_{1}\right)^{2}+\left(4-\mathrm{y}_{1}\right)^{2} \\ \Rightarrow &amp; 1+\mathrm{x}_{1}^{2}-2 \mathrm{x}_{1}+4+\mathrm{y}_{1}^{2}-4 \mathrm{y}_{1} \\ &amp; =9+\mathrm{x}_{1}^{2}-6 \mathrm{x}_{1}+16+\mathrm{y}_{1}^{2}-8 \mathrm{y}_{1} \\ \Rightarrow &amp; 4 \mathrm{x}_{1}+4 \mathrm{y}_{1}=20 \\ \Rightarrow &amp; \mathrm{x}_{1}+\mathrm{y}_{1}=5 ...(i)\end{array}$<br/>As $P\left(x_{1}, y_{1}\right)$ lies on $2 x-3 y=5$<br/>$2 x_{1}-3 y_{1}=5$...(ii)<br/>On solving Eqs. (1) and (2), <br/>we get $\mathrm{x}_{1}=4$ and $\mathrm{y}_{1}=1$<br/>Coordinates of $\mathrm{P}$ are $(4,1)$.</div>


title: which-one-of-the-following-reactions-would-produce-secondary-alcohol
slug: which-one-of-the-following-reactions-would-produce-secondary-alcohol-57672
question: <div class="question">Which one of the following reactions would produce secondary alcohol</div>
tags: ['Chemistry', 'Aldehydes and Ketones', 'JEE Main']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><img alt="" src="https://cdn-question-pool.getmarks.app/nta_abhyas/jee_main/images/7_opt_1ched.JPG" style="max-width:100%; object-fit:contain"/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><img alt="" src="https://cdn-question-pool.getmarks.app/nta_abhyas/jee_main/images/7_opt_2ched.JPG" style="max-width:100%; object-fit:contain"/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><math><mi mathvariant="normal">C</mi><msub><mrow><mi mathvariant="normal">H</mi></mrow><mrow><mn>3</mn></mrow></msub><mi mathvariant="normal">C</mi><mi mathvariant="normal">H</mi><mi mathvariant="normal">O</mi><mover accent="false"><mo>â</mo><mrow><mo>â</mo><mi mathvariant="normal">L</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">A</mi><mi mathvariant="normal">l</mi><msub><mrow><mi mathvariant="normal">H</mi></mrow><mrow><mn>4</mn></mrow></msub><mo>â</mo></mrow></mover></math></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><img alt="" src="https://cdn-question-pool.getmarks.app/nta_abhyas/jee_main/images/7_opt_4ched.JPG" style="max-width:100%; object-fit:contain"/></span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value"><img alt="" src="https://cdn-question-pool.getmarks.app/nta_abhyas/jee_main/images/7_opt_2ched.JPG" style="max-width:100%; object-fit:contain"/></span> </div>

answer:
<div class="solution">Aldehydes on reduction by <math><mi mathvariant="normal">L</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">A</mi><mi mathvariant="normal">l</mi><msub><mrow><mi mathvariant="normal">H</mi></mrow><mrow><mn>4</mn></mrow></msub></math> gives primary alcohol while ketons gives secondary alcohol. With grignard reagent ketone gives tertiary alcohol.<br/><br/><img alt="" src="https://cdn-question-pool.getmarks.app/nta_abhyas/jee_main/images/7_solu_ched.JPG" style="max-width:100%; object-fit:contain"/><br/><br/>Also specify - successive members have different structural formula.</div>


title: which-one-of-the-following-real-valued-functions-is-never-zero
slug: which-one-of-the-following-real-valued-functions-is-never-zero-66583
question: <div class="question">Which one of the following real valued functions is never zero?</div>
tags: ['Mathematics', 'Functions', 'NDA', 'NDA 2008 (Phase 1)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Polynomial function</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Trigonometric function</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Logarithmic function</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Exponential function</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Exponential function</span> </div>

answer:
<div class="solution">When $\mathrm{f}(\mathrm{x})=\mathrm{e}^{\mathrm{x}}$<br/>$\mathrm{f}(\mathrm{x}) \neq 0, \forall \mathrm{x} \in \mathrm{R}$<br/>$\Rightarrow$ An exponential function is never zero</div>


title: which-one-of-the-following-sets-has-all-elements-as-odd-positive-integers
slug: which-one-of-the-following-sets-has-all-elements-as-odd-positive-integers-52229
tags: ['Mathematics', 'Sets and Relations', 'NDA', 'NDA 2006 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following sets has all elements as odd positive integers?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\mathrm{S}=\left\{\mathrm{x} \in \mathrm{R} 4 \mathrm{x}^{3}-8 \mathrm{x}^{2}+19 \mathrm{x}-12=0\right\}$</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$\mathrm{S}=\left\{\mathrm{x} \in \mathrm{R} 4 \mathrm{x}^{3}-9 \mathrm{x}^{2}+23 \mathrm{x}-15=0\right\}$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\mathrm{S}=\left\{\mathrm{x} \in \mathrm{R} \mathrm{x}^{3}-7 \mathrm{x}^{2}+14 \mathrm{x}-8=0\right\}$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\mathrm{S}=\left\{\mathrm{x} \in \mathrm{E} \mathrm{x}^{3}-12 \mathrm{x}^{2}+44 \mathrm{x}-48=0\right\}$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\mathrm{S}=\left\{\mathrm{x} \in \mathrm{R} 4 \mathrm{x}^{3}-9 \mathrm{x}^{2}+23 \mathrm{x}-15=0\right\}$</span> </div>

answer:
<div class="solution">We take option (a) : $x^{3}-8 x^{2}+19 x-12=0$ $\Rightarrow(x-1)\left(x^{2}-7 x+12\right)=0$<br/>$\Rightarrow(x-1)(x-3)(x-4)=0$<br/>$\Rightarrow x=1,3,4$<br/>Thus, it is nota setofelements as odd positive integers<br/>(b) $x^{3}-9 x^{2}+23 x-15=0$<br/>$\Rightarrow(x-1)\left(x^{2}-8 x+15\right)=0$<br/>$\Rightarrow(x-1)(x-3)(x-5)=0$<br/>$\Rightarrow \mathrm{x}=1,3,5$<br/>Thus, $\mathrm{S}$ will be a set of elements as odd positive integers.</div>


title: which-one-of-the-following-statement-is-correct-2
slug: which-one-of-the-following-statement-is-correct-2-93292
question: <div class="question">Which one of the following statement is correct?</div>
tags: ['Mathematics', 'Application of Derivatives', 'NDA', 'NDA 2012 (Phase 1)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">$\mathrm{e}^{\mathrm{x}}$ is an increasing function $\quad$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\mathrm{e}^{\mathrm{x}}$ is a decreasing function</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\mathrm{e}^{\mathrm{x}}$ is neither increasing nor decreasing function</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\mathrm{e}^{\mathrm{x}}$ is a constant function</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\mathrm{e}^{\mathrm{x}}$ is an increasing function $\quad$</span> </div>

answer:
<div class="solution">From the graph of $\mathrm{e}^{x}$ it is clear that $\mathrm{e}^{\mathrm{x}}$ is an increasing function. Also Domain $=\mathrm{R}$ and Range $=\mathrm{R}^{+}$</div>


title: which-one-of-the-following-statement-is-correct-3
slug: which-one-of-the-following-statement-is-correct-3-23113
question: <div class="question">Which one of the following statement is correct?</div>
tags: ['Mathematics', 'Application of Derivatives', 'NDA', 'NDA 2012 (Phase 1)']
answer: <div class="solution">It is obvious</div>
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">The derivative of a function $\mathrm{f}(\mathrm{x})$ at a point will exist if there is one tangent to the curve $\mathrm{y}=\mathrm{f}(\mathrm{x})$ at that point and the tangent is parallel to y-axis</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">The derivative of a function $\mathrm{f}(\mathrm{x})$ at a point will exist if there is one tangent to the curve $\mathrm{y}=\mathrm{f}(\mathrm{x})$ at that point and the tangent must be parallel to $\mathrm{x}$ -axis</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">The derivative of a function $\mathrm{f}(\mathrm{x})$ at a point will exist if there is one and only one tangent to the curve $\mathrm{y}=\mathrm{f}[\mathrm{x}]$ at that point and the tangent is not parallel to y-axis</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">None of the above</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">The derivative of a function $\mathrm{f}(\mathrm{x})$ at a point will exist if there is one and only one tangent to the curve $\mathrm{y}=\mathrm{f}[\mathrm{x}]$ at that point and the tangent is not parallel to y-axis</span> </div>


title: which-one-of-the-following-statement-is-not-correct
slug: which-one-of-the-following-statement-is-not-correct-51358
question: <div class="question">Which one of the following statement is not correct?</div>
tags: ['Mathematics', 'Statistics', 'NDA', 'NDA 2007 (Phase 1)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Median divides distributions into two equal subgroups</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">The third quartile is the same as the 75 th percentile</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">The 5 th decile is the same as the 50 th percentile</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">The 50 th decile is the same as the 5 th percentile</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">The 50 th decile is the same as the 5 th percentile</span> </div>

answer:
<div class="solution">$50_{\text {th }}$ decile $=\frac{50}{10}=5$ and $5_{\text {th }}$ percentile $=\frac{5}{100}$ $5 \neq \frac{5}{100}$</div>


title: which-one-of-the-following-statements-about-ecological-succession-is-incorrect
slug: which-one-of-the-following-statements-about-ecological-succession-is-incorrect-77046
tags: ['Biology', 'Ecosystem', 'NEET']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following statements about ecological succession is incorrect?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">A community that is in near equilibrium with the environment and that is called a climax community.</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">The gradual and fairly predictable change in the species composition of a given area is called ecological succession.</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Primary succession takes place in those areas which somehow lost all the living organisms that existed there.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">At any time during primary or secondary succession, natural or human induced disturbances (fire, deforestation, etc.), can convert a particular seral stage of succession to an earlier stage.</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Primary succession takes place in those areas which somehow lost all the living organisms that existed there.</span> </div>

answer:
<div class="solution">When one species occupy an area leading to declining or disappearance of other species; this changes in the composition of species in any given area is called ecological succession. When succession occurs in an area where no living organism ever existed; it is called Primary Succession and when it takes place in the area that has lost all living organisms that had existed there; it is called Secondary Succession. Newly created ponds, bare rock are examples of primary succession. Abandoned farmlands and burned forests are examples of secondary succession.</div>


title: which-one-of-the-following-statements-about-mycoplasma-is-wrong
slug: which-one-of-the-following-statements-about-mycoplasma-is-wrong-11046
question: <div class="question">Which one of the following statements about mycoplasma is wrong?</div>
tags: ['Biology', 'Biological Classification', 'NEET', 'NEET 2007']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">they are pleomorphic</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">they are sensitive to penicillin</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">they cause diseases in plants</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">they are also called PPLO.</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">they are sensitive to penicillin</span> </div>

answer:
<div class="solution">Characteristics of Mycoplasma:<br/>(i) Cell wall is absent and plasma membrane forms the outer boundary of the cell.<br/>(ii) Due to the absence of cell wall these organisms can change their shape and are pleomorphic and are inherently resistant to lactam antibiotics (e.g., penicillin).<br/>(iii) Lack of nucleus and other membranebound organelles. Genetic material is a single DNA duplex and is naked. Ribosomes are $70 \mathrm{~S}$ type.<br/>(iv) Shows Heterotrophic nutrition. (Saprophytes and parasitic). M. pneumoniae causes lung infections such as walking pneumonia.<br/>(v) They are found in the pleural cavities of cattle suffering from pleuropneumonia. These organisms are often called PPLO (pleuropneumonia-like organisms).<br/>Related Theory<br/>In the treatment of mycoplasmal pneumonia, antimicrobials against $M$ pneumoniae are bacteriostatic, not bactericidal. Tetracycline and erythromycin compounds are very effective as they are protein synthesis inhibitors.</div>


title: which-one-of-the-following-statements-is-correct-about-secondary-succession
slug: which-one-of-the-following-statements-is-correct-about-secondary-succession-36873
tags: ['Biology', 'Ecosystem', 'NEET']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following statements is correct about secondary succession?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">It begins on a bare rock.</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">It occurs on a deforested site.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">It follows primary succession.</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">It is similar to primary succession except that it has a relatively fast pace.</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">It occurs on a deforested site.</span> </div>

answer:
<div class="solution">Secondary succession refers to the regrowth of habitat in the area where a disruptive event has occurred and eliminated the existing, above-ground plant life of the natural habitat. So, it occurs on a deforested site.</div>


title: which-one-of-the-following-statements-is-correct-consider-the-function-f-x-x-1-x-2-where-x-r-1
tags: ['Mathematics', 'Application of Derivatives', 'NDA', 'NDA 2016 (Phase 1)']
source_db: MarksBatch2_P4.db
slug:
which-one-of-the-following-statements-is-correct-consider-the-function-f-x-x-1-x-2-where-x-r-1-22493

question:
<div class="question">Which one of the following statements is correct?<br/>Consider the function $\mathrm{f}(\mathrm{x})=|\mathrm{x}-1|+\mathrm{x}^{2}$, where $\mathrm{x} \in \mathbf{R}$.</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ is increasing in $\left(-\infty, \frac{1}{2}\right)$ and decreasing in $\left(\frac{1}{2}, \infty\right)$</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ is decreasing in $\left(-\infty, \frac{1}{2}\right)$ and increasing in $\left(\frac{1}{2}, \infty\right)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ is increasing in $(-\infty, 1)$ and decreasing in $(1, \infty)$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ is decreasing in $(-\infty, 1)$ and increasing in $(1, \infty)$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\mathrm{f}(\mathrm{x})$ is decreasing in $\left(-\infty, \frac{1}{2}\right)$ and increasing in $\left(\frac{1}{2}, \infty\right)$</span> </div>

answer:
<div class="solution">As we know,<br/>$f(x)=x-1 \mid+x^{2} \quad \forall x \in R$<br/>$f(x)=\left\{\begin{array}{ll}x-1+x^{2} &amp; x \geq 1 \\ 1-x+x^{2} &amp; x   &lt; 1\end{array}\right.$<br/>$\Rightarrow f^{\prime}(x)=\left\{\begin{array}{ll}2 x+1 &amp; ; x \geq 1 \\ 2 x-1 ; &amp; x &lt; 1\end{array}\right.$<br/>$f(x)$ is in quadratic form (parabola). Hence $f(x)$ is<br/>decreasing in $\left(-\infty, \frac{1}{2}\right)$ and increasing $\left(\frac{1}{2}, \infty\right)$.</div>


title: which-one-of-the-following-statements-is-correct-consider-the-function-f-x-x-1-x-2-where-x-r-2
tags: ['Mathematics', 'Application of Derivatives', 'NDA', 'NDA 2016 (Phase 1)']
source_db: MarksBatch2_P4.db
slug:
which-one-of-the-following-statements-is-correct-consider-the-function-f-x-x-1-x-2-where-x-r-2-38972

question:
<div class="question">Which one of the following statements is correct?<br/>Consider the function $\mathrm{f}(\mathrm{x})=|\mathrm{x}-1|+\mathrm{x}^{2}$, where $\mathrm{x} \in \mathbf{R}$.</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ has local minima at more than one point in $(-\infty, \infty)$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ has local maxima at more than one point in $(-\infty, \infty)$</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ has local minimum at one point only in $(-\infty, \infty)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ has neither maxima nor minima in $(-\infty, \infty)$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\mathrm{f}(\mathrm{x})$ has local minimum at one point only in $(-\infty, \infty)$</span> </div>

answer:
<div class="solution">$f(x)$ has local minimum at one point only in $(-\infty, \infty$ $f^{\prime}(x)=\left\{\begin{array}{ll}2 x-1 &amp; ; \quad x   &lt; 1 \\ 2 x+1 &amp; ; \quad x \geq 1\end{array}\right.$<br/>Clearly; for $(\mathrm{x}&gt;1) ; \mathrm{f}^{\prime}(\mathrm{x})&gt;0 \geq \&amp;$ for $(\mathrm{x} &lt; 1)$<br/>$\mathrm{x}=\frac{1}{2}$ is the point of local minima</div>


title: which-one-of-the-following-statements-is-correct-consider-the-function-f-x-x-1-x-2-where-x-r
slug: which-one-of-the-following-statements-is-correct-consider-the-function-f-x-x-1-x-2-where-x-r-19462
tags: ['Mathematics', 'Continuity and Differentiability', 'NDA', 'NDA 2016 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following statements is correct?<br/>Consider the function $\mathrm{f}(\mathrm{x})=|\mathrm{x}-1|+\mathrm{x}^{2}$, where $\mathrm{x} \in \mathbf{R}$.</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ is continuous but not differentiable at $\mathrm{x}=0$</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ is continuous but not differentiable at $\mathrm{x}=1$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ is differentiable at $\mathrm{x}=1$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ is not differentiable at $\mathrm{x}=0$ and $\mathrm{x}=1$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\mathrm{f}(\mathrm{x})$ is continuous but not differentiable at $\mathrm{x}=1$</span> </div>

answer:
<div class="solution">$f(x)=x-1 \mid+x^{2} \quad \forall \quad x \in R$<br/>$f_{1}(x)=x-1 \mid, f_{2}(x)=x^{2}$<br/>$f_{1}(x)$ and $f_{2}(x)$ both are continuous. Hence $f(x)$ is continuous.<br/>$f(x)$ in differentiable at $x=0$ $f_{1}(x)$ is not differentiable at $x=1$.<br/>Hence $f(x)$ is continuous but not differentiable at $x=1$.</div>


title: which-one-of-the-following-statements-is-correct-for-secondary-succession-1
slug: which-one-of-the-following-statements-is-correct-for-secondary-succession-1-64342
tags: ['Biology', 'Ecosystem', 'NEET', 'NEET 2011 (Screening)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following statements is correct for secondary succession?</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">It occurs on a deforested site</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">It follows primary succession</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">It is similar to primary succession except that it has a relatively fast pace</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">It begins on a bare rock</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">It occurs on a deforested site</span> </div>

answer:
<div class="solution">Secondary succession or subsere is ecological succession that takes place in a recently denuded area which still contains a lot of organic debris, remains and propagules of previously living organisms. It is more common and caused by baring of an area due to forest fires, deforestation, excessive overgrazing, landslides, earthquakes, repeated floods, etc. Only 50 to 100 years are required for establishment of a grassland over a recently denuded area. Formation of forest requires 100 to 200 years.</div>


title: which-one-of-the-following-statements-is-correct-for-secondary-succession
slug: which-one-of-the-following-statements-is-correct-for-secondary-succession-70700
tags: ['Biology', 'Ecosystem', 'NEET']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following statements is correct for secondary succession?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">It begins on a bare rock</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">It occurs on a deforested site</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">It follows primary succession</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">It is similar to primary succession except that it has a relatively fast pace</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">It occurs on a deforested site</span> </div>

answer:
<div class="solution"><div>Secondary succession is one of the two types of ecological succession of a plants life. As opposed to the first, primary succession, secondary succession is a process started by an event (e.g. forest fire, harvesting, hurricane, etc.) that reduces an already established ecosystem (e.g. a forest or a wheat field) to a smaller population of species, and as such secondary succession occurs on preexisting soil whereas primary succession usually occurs in a place lacking soil.</div></div>


title: which-one-of-the-following-statements-is-correct-in-respect-of-the-curve-4-y-x-2-8-0
slug: which-one-of-the-following-statements-is-correct-in-respect-of-the-curve-4-y-x-2-8-0-35373
tags: ['Mathematics', 'Application of Derivatives', 'NDA', 'NDA 2006 (Phase 2)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following statements is correct in respect of the curve $4 \mathrm{y}-\mathrm{x}^{2}-8=0 ?$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">The curve is increasing in $(-4,4)$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">The curve is increasing in $(-4,0)$</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">The curve is increasing in $(0,4)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">The curve is decreasing in $(-4,4)$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">The curve is increasing in $(0,4)$</span> </div>

answer:
<div class="solution">Given that $4 \mathrm{y}-\mathrm{x}^{2}-8=0$ $\Rightarrow \quad y=\frac{x^{2}+8}{4}$<br/>Differentiating w.r.t. $\mathrm{x}$<br/>$\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{2 \mathrm{x}}{4}$<br/>For increasing function<br/>$\frac{\mathrm{dy}}{\mathrm{dx}}&gt;0$<br/>So, $\frac{2 x}{4}&gt;0 \Rightarrow x&gt;0$<br/>Thus, the curve is increasing in $(0,4)$.</div>


title: which-one-of-the-following-statements-is-correct-in-respect-of-the-function-f-x-x-3-sin-x
slug: which-one-of-the-following-statements-is-correct-in-respect-of-the-function-f-x-x-3-sin-x-61896
tags: ['Mathematics', 'Application of Derivatives', 'NDA', 'NDA 2016 (Phase 2)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following statements is correct in respect<br/>of the function $\mathrm{f}(\mathrm{x})=\mathrm{x}^{3} \sin \mathrm{x} ?$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">It has local maximum at $\mathrm{x}=0$.</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">It has local minimum at $\mathrm{x}=0$.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">It has neither maximumnor minimum at $\mathrm{x}=0$.</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">It has maximum value 1 .</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">It has local minimum at $\mathrm{x}=0$.</span> </div>

answer:
<div class="solution">$f(x)=x^{3} \sin x$<br/>$f^{\prime}(x)=3 x^{2} \sin x+x^{3} \cos x$<br/>$f^{\prime}(x)=0$<br/>$\Rightarrow 3 x^{2} \sin x+x^{3} \cos x=0$<br/>$\Rightarrow x^{2}(3 \sin x+x \cos x)=0$<br/>$\Rightarrow x=0,3 \sin x+x \cos x=0$<br/>Put $x=0$ in $(1)$ $3 \sin x=0 \Rightarrow \sin x=0$<br/>$f^{\prime \prime}(x)=6 x \sin x+3 x^{2} \cos x+3 x^{2} \cos x+x^{3}(-\sin x)$<br/>$f^{\prime \prime}(0)=0$<br/>So, $f(x)$ has min. at $x=0 .$</div>


tags: ['Mathematics', 'Determinants', 'NDA', 'NDA 2008 (Phase 1)']
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-statements-is-correct-the-system-of-linear-equations-2-x-3-y-4-and-4-x-6-y-7-has

slug:
which-one-of-the-following-statements-is-correct-the-system-of-linear-equations-2-x-3-y-4-and-4-x-6-y-7-has-18136

question:
<div class="question">Which one of the following statements is correct? The system of linear equations, $2 x+3 y=4$ and $4 x+6 y=7$, has</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">no solution</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">a unique solution</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">exactly 3 solutions</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">an infinite number of solutions</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">no solution</span> </div>

answer:
<div class="solution">Slope of both the lines are same and intercepts are different. So, the given equations represent the two parallel lines. Hence the system of linear equations has no solution.</div>


title: which-one-of-the-following-statements-is-incorrect-2
slug: which-one-of-the-following-statements-is-incorrect-2-18732
question: <div class="question">Which one of the following statements is incorrect?</div>
tags: ['Chemistry', 'Biomolecules', 'NEET']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Primary metabolites have identifiable functions.</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Some secondary metabolites have ecological importance.</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Secondary metabolites like rubber, drugs, spices, scents and pigments are useful to human welfare.</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Secondary metabolites are not found in fungi, microbes and plants.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Secondary metabolites are not found in fungi, microbes and plants.</span> </div>

answer:
<div class="solution">Organic compounds present in living tissue are called as biomolecules. These biomolecules which are main structural and functional components of all cells are called as primary metabolites. In plant, fungal and microbial cells many other compounds like alkaloids, flavinoids, rubber, scents, gums, spices etc are present without any identifiable function, these are called as secondary metabolites.</div>


title: which-one-of-the-following-statements-is-not-correct-3
slug: which-one-of-the-following-statements-is-not-correct-3-11803
question: <div class="question">Which one of the following statements is not correct?</div>
tags: ['Mathematics', 'Application of Derivatives', 'NDA', 'NDA 2006 (Phase 2)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">The derivative of $f(x)$ at $x=a$ is the slope of the graph of $\mathrm{f}(\mathrm{x})$ at the point $[\mathrm{a}, \mathrm{f}(\mathrm{a})]$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\mathrm{f}(\mathrm{x})$ has a positive derivative at $\mathrm{x}=$ a means $\mathrm{f}(\mathrm{x})$ increases as $\mathrm{x}$ increases from 'a'</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">The sum of two differentiable functions is differentiable</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">If a function is continuous at a point, it is also differentiable at the same point. $\quad$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">If a function is continuous at a point, it is also differentiable at the same point. $\quad$</span> </div>

answer:
<div class="solution">If a function is continuous at a point, it need not be differentiable at the same point. Example, $f(x)=|x|$ is continuous at $\mathrm{x}=0$ but $\mathrm{f}(\mathrm{x})$ is not differentiable at $\mathrm{x}=0$</div>


title: which-one-of-the-following-statements-is-not-correct-4
slug: which-one-of-the-following-statements-is-not-correct-4-23693
question: <div class="question">Which one of the following statements is not correct?</div>
tags: ['Mathematics', 'Vector Algebra', 'NDA', 'NDA 2007 (Phase 2)']
answer: <div class="solution">Since vector product is not commutative. So, option<br/>(a) is correct.</div>
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">Vector product is commutative</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Vector product is not associative</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Vector product is distributive over addition</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Scalar product is commutative</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Vector product is commutative</span> </div>


title: which-one-of-the-following-statements-is-not-correct-32
slug: which-one-of-the-following-statements-is-not-correct-32-38583
question: <div class="question">Which one of the following statements is NOT correct?</div>
tags: ['Biology', 'Environmental Issues', 'NEET', 'NEET 2023 (All India)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">The amount of some toxic substances of industrial waste water increases in the organisms at successive trophic levels.</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">The micro-organisms involved in biodegradation of organic matter in a sewage polluted water body consume a lot of oxygen causing the death of aquatic organisms.</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Algal blooms caused by excess of organic matter in water improve water quality and promote fisheries.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Water hyacinth grows abundantly in eutrophic water bodies and leads to an imbalance in the ecosystem dynamics of the water body.</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Algal blooms caused by excess of organic matter in water improve water quality and promote fisheries.</span> </div>

answer:
<div class="solution">During eutrophication of a water-body, there is continuous addition of sewage, organic waste which increases the BOD and subsequently decreases the DO. The addition of inorganic nutrients, like phosphate, causes extensive growth of algae, called algal bloom. This depleted the water quality and kills fish.</div>


tags: ['Biology', 'Biotechnology - Principles and Processes', 'NEET']
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-statements-is-wrong-with-respect-to-rms-restriction-modification-system-as-the-foundation-of-rdna-technology

slug:
which-one-of-the-following-statements-is-wrong-with-respect-to-rms-restriction-modification-system-as-the-foundation-of-rdna-technology-98467

question:
<div class="question">Which one of the following statements is wrong with respect to RMS (restriction modification system) as the foundation of r-DNA technology?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Restriction endonuclease identifies introduced foreign DNA and cuts it into pieces.</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Modification enzymes add a methyl group to one or two bases usually within the recoginition site of restriction endonuclease enzymes.</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Restriction endonuclease can cleave any palindromic sequence.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Restriction enzymes restrict the propagation of foreign DNA of bacteriophages in the host bacterium.</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Restriction endonuclease can cleave any palindromic sequence.</span> </div>

answer:
<div class="solution">Restriction endonucleases cleave internal phosphodiester bonds only after recognizing specific sequences in DNA which are usually 4-6 base pairs long, and often palindromic.</div>


title: which-one-of-the-following-structures-is-considered-as-a-secondary-lymphoid-organ
slug: which-one-of-the-following-structures-is-considered-as-a-secondary-lymphoid-organ-96665
tags: ['Biology', 'Human Health and Diseases', 'NEET']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following structures is considered as a secondary lymphoid organ?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Tonsil</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Payer's patches</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Appendix</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">All of these</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

answer:
<div class="solution">The immune cells are synthesized and get matured in the primary lymphoid organs like thymus and bone marrow. After maturation, the lymphocytes migrate from primary lymphoid organs to secondary lymphoid organs like spleen, lymph nodes, tonsils, Payer's patches in small intestine and appendix.  </div>


title: which-one-of-the-following-values-of-x-y-satisfies-the-in-equation-2-x-3-y-6-x-0-y-0
slug: which-one-of-the-following-values-of-x-y-satisfies-the-in-equation-2-x-3-y-6-x-0-y-0-71710
tags: ['Mathematics', 'Basic of Mathematics', 'NDA', 'NDA 2007 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following values of $\mathrm{x}, \mathrm{y}$ satisfies the in equation $2 \mathrm{x}+3 \mathrm{y} \leq 6 ; \mathrm{x} \geq 0, \mathrm{y} \geq 0 ?$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$x=0, y=3$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$x=1, y=2$</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">$x=1, y=1$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$x=4, y=0$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$x=1, y=1$</span> </div>

answer:
<div class="solution">Therecan bemanyvalues of $x$ and $y$ for this in equation. In the given options only $x=1, y=1$ satisfy the given equation</div>


title: which-one-of-the-following-vectors-is-normal-to-the-vector-i-j-k
slug: which-one-of-the-following-vectors-is-normal-to-the-vector-i-j-k-22574
tags: ['Mathematics', 'Vector Algebra', 'NDA', 'NDA 2013 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which one of the following vectors is normal to the vector $\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}} ?$</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\quad \hat{\mathrm{i}}+\hat{\mathrm{j}}-\hat{\mathrm{k}}$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}}$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\quad \hat{i}-\hat{j}-\hat{k}$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">None of the above</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

answer:
<div class="solution">One vector will be normal to the other vector if their dot product will be zero. Since none option satisfies the condition of normality. Therefore option (d) is correct.</div>


tags: ['Mathematics', 'Vector Algebra', 'NDA', 'NDA 2009 (Phase 1)']
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-vectors-of-magnitude-51-makes-equal-angles-with-three-vectors-a-3-i-2-j-2-k-b-5-4-i-3-k-and-c-j

slug:
which-one-of-the-following-vectors-of-magnitude-51-makes-equal-angles-with-three-vectors-a-3-i-2-j-2-k-b-5-4-i-3-k-and-c-j-32241

question:
<div class="question">Which one of the following vectors of magnitude $\sqrt{51}$ makes equal angles with three vectors<br/>$$<br/>\vec{a}=\frac{\hat{i}-2 \hat{j}+2 \hat{k}}{3}, \vec{b}=\frac{-4 \hat{i}-3 \hat{k}}{5} \text { and } \vec{c}=\hat{j} ?<br/>$$</div>

options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">$5 \hat{i}-\hat{j}-5 \hat{k}$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$5 \hat{i}+\hat{j}+5 \hat{k}$</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$\quad-5 \hat{i}-\hat{j}+5 \hat{k}$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$5 \hat{i}+5 \hat{j}-\hat{k}$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$5 \hat{i}-\hat{j}-5 \hat{k}$</span> </div>

answer:
<div class="solution">Let $\vec{p}=x \hat{i}+y \hat{j}+z \hat{k}$ is a vector of magnitude $\sqrt{51}$<br/>$\therefore \sqrt{x^{2}+y^{2}+z^{2}}=\sqrt{51}$<br/>$\Rightarrow \mathrm{x}^{2}+\mathrm{y}^{2}+\mathrm{z}^{2}=51$<br/>Let $\vec{p}$ makes equal angle $\theta$ with and $\vec{a}, \vec{b}$ and $\vec{c}$.<br/>$\therefore \quad \vec{p} \cdot \vec{a}=|\vec{p}| \cdot|\vec{a}| \cos \theta$<br/>$\therefore \quad \cos \theta=\frac{\vec{p} \cdot \vec{a}}{|\vec{p}||\vec{a}|}$<br/>Similarly, $\cos \theta=\frac{\vec{p} \cdot \vec{b}}{|\vec{p}||\vec{b}|}$<br/>and $\cos \theta=\frac{\vec{p} \cdot \vec{c}}{|\vec{p}||\vec{c}|}$<br/>$\therefore \frac{\vec{p} \cdot \vec{a}}{|\vec{p}||\vec{a}|}=\frac{\vec{p} \cdot \vec{b}}{|\vec{p}||\vec{b}|}=\frac{\vec{p} \cdot \vec{c}}{|\vec{p}||\vec{c}|}$<br/>$\begin{aligned} \Rightarrow &amp; \frac{\frac{1}{3}(x-2 y+2 z)}{\sqrt{x^{2}+y^{2}+z^{2}} \frac{1}{3} \sqrt{1+4+4}}=\frac{\frac{1}{5}(-4 x-3 z)}{\sqrt{x^{2}+y^{2}+z^{2}} \frac{1}{5} \sqrt{16+9}} \\ &amp;=\frac{y}{\sqrt{x^{2}+y^{2}+z^{2}} \sqrt{1}} \\ \Rightarrow &amp; \frac{x-2 y+2 z}{3 \sqrt{x^{2}+y^{2}+z^{2}}}=\frac{-4 x-3 z}{5 \sqrt{x^{2}+y^{2}+z^{2}}}=\frac{y}{\sqrt{x^{2}+y^{2}+z^{2}}} \\ \Rightarrow &amp; \frac{x-2 y+2 z}{3}=\frac{-4 x-3 z}{5}=y \\ \therefore &amp; 5(x-2 y+2 z)=-3(4 x+3 z)=15 y \\ \therefore &amp; 5 x-10 y+10 z=15 y \text { and }-12 x-9 z=15 y \\ \Rightarrow &amp; 5 x-25 y+10 z=0 \quad \text { and }-12 x-15 y-9 z=0 \\ \Rightarrow &amp; x-5 y+2 z=0 \text { and } 4 x+5 y+3 z=0 \\ x-5 y+2 z=0 \\ &amp; x x+5 y+3 z=0 \\ &amp;\left|\begin{array}{ccc}x &amp; y &amp; z \\ 1 &amp; -5 &amp; 2 \\ 4 &amp; 5 &amp; 3\end{array}\right|=\frac{x}{-15-10}=\frac{y}{8-3}=\frac{z}{5+20} \\ &amp; \frac{x}{-25}=\frac{y}{5}=\frac{z}{25} \end{aligned}$<br/>$\frac{x}{-5}=\frac{y}{1}=\frac{z}{5}=k$<br/>(let)<br/>$\therefore \quad x=-5 k, y=k, z=5 k$<br/>Now, $x^{2}+y^{2}+z^{2}=51$<br/>$\therefore \quad(-5 \mathrm{k})^{2}+k^{2}+(5 k)^{2}=51$<br/>$\Rightarrow 25 k^{2}+k^{2}+25 k^{2}=51$<br/>$\Rightarrow 51 k^{2}=51$<br/>$\therefore \quad k=\pm 1$<br/>When $k=1$, then $x=-5, y=1, z=5$<br/>and $\vec{p}=5 \hat{i}+\hat{j}+5 \hat{k}$<br/>when $k=-1$, then $x=5, y=-1, z=-5$<br/>and $\vec{p}=5 \hat{i}-\hat{j}-5 \hat{k}$</div>


tags: ['Chemistry', 'Aldehydes and Ketones', 'JEE Main']
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-will-not-form-a-yellow-precipitate-on-heating-with-an-alkaline-solution-of-iodine-1

slug:
which-one-of-the-following-will-not-form-a-yellow-precipitate-on-heating-with-an-alkaline-solution-of-iodine-1-28519

question:
<div class="question">Which one of the following will not form a yellow precipitate on heating with an alkaline solution of iodine?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\mathrm{CH}_3 \mathrm{CH}(\mathrm{OH}) \mathrm{CH}_3$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{CH}(\mathrm{OH}) \mathrm{CH}_3$</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">$\mathrm{CH}_3 \mathrm{OH}$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{OH}$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\mathrm{CH}_3 \mathrm{OH}$</span> </div>

answer:
<div class="solution">The carbonyl compounds which contains the $\mathrm{CH}_3 \mathrm{CO}-$ or the $\mathrm{CH}_3 \mathrm{C}(\mathrm{H})$ $(\mathrm{OH})$-compounds undergo the iodoform reaction. Benzyl alcohol, Methanol, Diethyl ketone, acetic acid do not give iodoform test.<br/>Caution<br/>Compounds that give positive Iodoform Test are Acetaldehyde, Methyl Ketone, Ethanol, Secondary Alcohols that contain methyl groups in alpha position.</div>


tags: ['Chemistry', 'Aldehydes and Ketones', 'NEET', 'NEET 2004']
source_db: MarksBatch2_P4.db
title:
which-one-of-the-following-will-not-form-a-yellow-precipitate-on-heating-with-an-alkaline-solution-of-iodine

slug:
which-one-of-the-following-will-not-form-a-yellow-precipitate-on-heating-with-an-alkaline-solution-of-iodine-56994

question:
<div class="question">Which one of the following will not form a yellow precipitate on heating with an alkaline solution of iodine?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\mathrm{CH}_3 \mathrm{CH}(\mathrm{OH}) \mathrm{CH}_3$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">$\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{CH}(\mathrm{OH}) \mathrm{CH}_3$</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">$\mathrm{CH}_3 \mathrm{OH}$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{OH}$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\mathrm{CH}_3 \mathrm{OH}$</span> </div>

answer:
<div class="solution">The carbonyl compounds which contains the $\mathrm{CH}_3 \mathrm{CO}-$ or the $\mathrm{CH}_3 \mathrm{C}(\mathrm{H})$ $(\mathrm{OH})$-compounds undergo the iodoform reaction. Benzyl alcohol, Methanol, Diethyl ketone, acetic acid do not give iodoform test.<br/>Caution<br/>Compounds that give positive Iodoform Test are Acetaldehyde, Methyl Ketone, Ethanol, Secondary Alcohols that contain methyl groups in alpha position.</div>


title: which-one-of-these-doesnt-fall-in-the-same-group-as-the-other-three
slug: which-one-of-these-doesnt-fall-in-the-same-group-as-the-other-three-61672
question: <div class="question">Which one of these doesn't fall in the same group as the other three?</div>
tags: ['Biology', 'Structural Organisation in Animals', 'NEET']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Bone</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Cartilage</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Nerve fibers</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Blood</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Nerve fibers</span> </div>

answer:
<div class="solution">The most abundant animal tissue is Connective tissue. These are of different types: Loose connective tissues which includes Areolar and Adipose tissue. Dense connective tissues which include Tendon and Cartilag. Specialised connective tissues which include Bone, cartilage, blood and lymph. Nerve fibres constitute the nervous system</div>


title: which-organization-publishes-the-red-data-book-1
slug: which-organization-publishes-the-red-data-book-1-90862
question: <div class="question">Which organization publishes the 'Red Data Book"?</div>
tags: ['Biology', 'Biodiversity and its Conservation', 'NEET', 'NEET 2013 (Karnataka)']
correct_option: <div class="correct-answer"> The correct answer is: <span class="option-value">IUCN</span> </div>
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">IUCN</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">UNEP</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">WWF</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">GEF</span> </li> </ul>

answer:
<div class="solution">The International Union for Conservation of Nature (IUCN) maintains the Red Data Book. It is a public document which is created for recording endangered and rare species of plants, animals, fungi as well as some local subspecies which are present in a particular region. It helps us in providing complete information for rescarch, studies and also for monitoring the programs on rare and endangered species and their habitats.<br/>Related Theory<br/>Red Data Book of India includes the conservation status of animals and plants which are endemic to the Indian subcontinent. The data for this book is provided through surveys which are conducted by the Zoological Survey of India and the Botanical Survey of India under the guidance of the Ministry of Environment, Forest and Climate Change.<br/>! Caution<br/>The red list contains only the names of the endangered species; however, the Red Data Book contains the information about the species that are on the verge of extinction.</div>


title: which-part-of-ovary-in-mammals-acts-as-an-endocrine-gland-after-ovulation
slug: which-part-of-ovary-in-mammals-acts-as-an-endocrine-gland-after-ovulation-66793
tags: ['Biology', 'Human Reproduction', 'NEET', 'NEET 2007']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which part of ovary in mammals acts as an endocrine gland after ovulation?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">stroma</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">germinal epithelium</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">vitelline membrane</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Graafian follicle.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Graafian follicle.</span> </div>

answer:
<div class="solution">The release of eggs (at secondary oocyte stage) after rupturing of graafian follicle is called ovulation. After the ovulation, the granulosa cell as well as the stroma cells form theca interna rapidly multiply to fill the cavity of graafian follicle which becomes corpus luteum. If fertilization occurs, corpus luteum grows further and secrete hormone progesterone. If fertilization does not take place, corpus luteum regresses and forms a white body called corpus albicans.</div>


title: which-part-of-the-ovule-stores-reserve-food-materials
slug: which-part-of-the-ovule-stores-reserve-food-materials-94616
question: <div class="question">Which part of the ovule stores reserve food materials?</div>
tags: ['Biology', 'Sexual Reproduction in Flowering Plants', 'NEET', 'NEET 2024 (Re-NEET)']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">Nucellus</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Integument</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Placenta</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Funicle</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Nucellus</span> </div>

answer:
<div class="solution">Nucellus is a mass of cell enclosed within the integument and it has abundant food reserves.<br/>Each ovule has one or more protective layer called integuments.<br/>The ovule is a small structure attached to the placenta by means of a stalk called funicle.</div>


title: which-part-of-the-protein-molecule-is-responsible-for-function-and-activity-of-the-proteins
slug: which-part-of-the-protein-molecule-is-responsible-for-function-and-activity-of-the-proteins-40823
tags: ['Chemistry', 'Biomolecules', 'JEE Main']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which part of the protein molecule is responsible for function and activity of the proteins</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Secondary structure</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">Peptide bond</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Primary structure</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Binding sites</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Peptide bond</span> </div>

answer:
<div class="solution">Peptide bond responsible for function and activity of the proteins tas it link amino acid residues in a polypeptide are formed in a condensation reaction between the acidic carboxyl group of one amino acid and the basic amino group of another amino acid.</div>


title: which-part-of-the-world-has-a-high-density-of-organism
slug: which-part-of-the-world-has-a-high-density-of-organism-39059
question: <div class="question">Which part of the world has a high density of organism?</div>
tags: ['Biology', 'Biodiversity and its Conservation', 'AIIMS', 'AIIMS 2007']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Deciduous forests</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Grasslands</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Tropical rain forests</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Savannahs</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Tropical rain forests</span> </div>

answer:
<div class="solution">Tropical rain forests are mainly found in central America, along Amazon and Orinoco rivers, South America, Congo river basin of Africa, Malagasy Republic and South east Asia including India. Diversity of life is so high that a hectare of the forest may have as many as 200 species of trees, \(70 \%-80 \%\) of all insects and \(80-85 \%\) of all birds are known from tropical forests. Productivity of this biome is also very high and life is abundant. It has different varieties and number of plants and animals.</div>


title: which-pigment-absorbs-the-red-and-farred-light
slug: which-pigment-absorbs-the-red-and-farred-light-54233
question: <div class="question">Which pigment absorbs the red and far-red light?</div>
tags: ['Biology', 'Photosynthesis in Higher Plants', 'NEET', 'NEET 2002']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Cytochrome</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">Phytochrome</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Carotenoids</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Chlorophyll</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Phytochrome</span> </div>

answer:
<div class="solution">Phytochrome is a pigment that absorbs red light and far-red light. Phytochrome has a light absorbing or light detecting portion (the chromophore) attached to small protein. Phytochrome occurs in 2 forms, i.e., $\mathrm{P}_r$ and $\mathrm{P}_{f r}$ (i.e., red light and far-red light absorbing forms) and these 2 forms are interconvertible. Cytochromes are electron transferring proteins. They contain iron porphyrin or copper porphyrin as prosthetic groups. Chlorophyll is the fundamental green pigment of photosynthesis. It is localized on the chloroplasts. Carotenoids are lipid compounds and they are yellow, orange, purple etc. in colour.</div>


title: which-product-of-the-following-reactions-fails-to-give-the-carbylamine-test
slug: which-product-of-the-following-reactions-fails-to-give-the-carbylamine-test-12216
tags: ['Chemistry', 'Amines', 'TS EAMCET', 'TS EAMCET 2018 (04 May Shift 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which product of the following reactions fails to give the carbylamine test ?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Hoffmann bromide degradation</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Gabriel phthalimide synthesis</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Reduction of nitrites with <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>LiAlH</mi><mn>4</mn></msub></math></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Reduction of tertiary amides with <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>LiAlH</mi><mn>4</mn></msub></math></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Reduction of tertiary amides with <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>LiAlH</mi><mn>4</mn></msub></math></span> </div>

answer:
<div class="solution">The secondary and tertiary amines do not exhibit carbylamine reactions. As tertiary amides are derived from secondary amines, reduction of tertiary amides with <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>LiAlH</mi><mn>4</mn></msub></math> fails to give the carbylamine test.</div>


title: which-products-are-obtained-from-the-reduction-of-carboxylic-acids-using-lithium-aluminium-hydride
tags: ['Chemistry', 'Aldehydes, Ketones and Carboxylic Acids', 'NEET']
source_db: MarksBatch2_P4.db
slug:
which-products-are-obtained-from-the-reduction-of-carboxylic-acids-using-lithium-aluminium-hydride-62152

question:
<div class="question">Which products are obtained from the reduction of carboxylic acids using lithium aluminium hydride?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Aldehydes</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">Primary alcohols</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Ketones</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Secondary alcohols</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Primary alcohols</span> </div>

answer:
<div class="solution">Carboxylic acids are reduced to primary alcohols when treated with lithium aluminium hydride.</div>


title: which-property-of-colloidal-solution-is-independent-of-charge-on-the-colloidal-particles
slug: which-property-of-colloidal-solution-is-independent-of-charge-on-the-colloidal-particles-68913
tags: ['Chemistry', 'Surface Chemistry', 'NEET', 'NEET 2015 (Phase 1)']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which property of colloidal solution is independent of charge on the colloidal particles?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Coagulation</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Electrophoresis</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Electro-osmosis</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Tyndall effect</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

answer:
<div class="solution">Tyndall effect is related to scattering of light by colloidal particles and not dependent on charge.</div>


title: which-property-of-colloids-is-not-dependent-on-the-charge-on-colloidal-particles-1
slug: which-property-of-colloids-is-not-dependent-on-the-charge-on-colloidal-particles-1-30222
tags: ['Chemistry', 'Surface Chemistry', 'NEET']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which property of colloids is not dependent on the charge on colloidal particles?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Electro-osmosis</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Coagulation</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Electrophoresis</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Tynadall effect</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Tynadall effect</span> </div>

answer:
<div class="solution">Tyndall effect is an optical property which donât depend upon charge on colloidal particles but depends on size of colloid particles. Rest other properties are charge dependent.</div>


title: which-property-of-colloids-is-not-dependent-on-the-charge-on-colloidal-particles-2
slug: which-property-of-colloids-is-not-dependent-on-the-charge-on-colloidal-particles-2-27434
tags: ['Chemistry', 'Surface Chemistry', 'NEET', 'NEET 2014']
source_db: MarksBatch2_P4.db
question:
<div class="question">Which property of colloids is not dependent on the charge on colloidal particles?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Coagulation</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Electrophoresis</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Electro-osmosis</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Tyndall effect</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

answer:
<div class="solution"><p>Tyndal effect is due to Scattering of light and not due to charge.</p><p>Tyndall effect is independent of charge on the colloidal particles. It is an optical property and depends on the size of the colloidal particles. </p><p>The Tyndall effect, also known as Tyndall scattering, is light scattering by particles in a colloid or particles in a fine suspension. However, electro-osmosis, coagulation, and electrophoresis depend on the charge on the colloidal particles. These are electrical properties.</p></div>


title: which-protein-structure-is-primarily-affected-during-denaturation
slug: which-protein-structure-is-primarily-affected-during-denaturation-18020
question: <div class="question">Which protein structure is primarily affected during denaturation?</div>
tags: ['Chemistry', 'Biomolecules', 'NEET']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Primary structure</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Secondary structure</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Tertiary structure</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Quaternary structure</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Tertiary structure</span> </div>

answer:
<div class="solution">During denaturation, secondary and tertiary structures are primarily affected.</div>


tags: ['Chemistry', 'Aldehydes and Ketones', 'JEE Main', 'JEE Main 2022 (26 Jul Shift 1)']
source_db: MarksBatch2_P4.db
title:
which-reactant-will-give-the-following-alcohol-on-reaction-with-one-mole-of-phenyl-magnesium-bromide-phmgbr-followed-by-acidic-hydrolysis

slug:
which-reactant-will-give-the-following-alcohol-on-reaction-with-one-mole-of-phenyl-magnesium-bromide-phmgbr-followed-by-acidic-hydrolysis-41369

question:
<div class="question"><p>Which reactant will give the following alcohol on reaction with one mole of phenyl magnesium bromide <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mi>PhMgBr</mi></mfenced></math> followed by acidic hydrolysis?</p><p><img src="https://cdn-question-pool.getmarks.app/pyq/jee_main/389c30db-f9c6-4b5d-b44a-33c36fa96b0b-image.png" style="width: 118px; height: 120px;"/></p></div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>CH</mi><mn>3</mn></msub><mo>–</mo><mi mathvariant="normal">C</mi><mo>≡</mo><mi mathvariant="normal">N</mi></math></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Ph</mi><mo>-</mo><mi mathvariant="normal">C</mi><mo>≡</mo><mi mathvariant="normal">N</mi></math></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><p><img src="https://cdn-question-pool.getmarks.app/pyq/jee_main/137ea6dc-49e7-40a8-ba1a-cfc36d3ae774-image.png" style="width: 156px; height: 70px;"/></p></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><p><img src="https://cdn-question-pool.getmarks.app/pyq/jee_main/639a5f13-c409-43ad-a391-b2112b4ff454-image.png" style="width: 129px; height: 70px;"/></p></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value"><p><img src="https://cdn-question-pool.getmarks.app/pyq/jee_main/639a5f13-c409-43ad-a391-b2112b4ff454-image.png" style="width: 129px; height: 70px;"/></p></span> </div>

answer:
<div class="solution"><blockquote><p>Phenyl magnesium bromide is called Grignard reagent. One mole of this react with carbonyl compound to give alcohols. It react with aldehyde to form secondary alcohol while with ketones gives tertiary alcohols. The given compound is a tertiary alcohol so, reactant should be a ketone.</p><p><img src="https://cdn-question-pool.getmarks.app/pyq/jee_main/b9aa592f-226f-4376-b5d0-50fd57d5be83-image.png" style="width: 326px; height: 100px;"/></p></blockquote></div>


title: which-reaction-pathway-becomes-favourable-for-the-dehydration-of-secondary-and-tertiary-alcohols
tags: ['Chemistry', 'Alcohols Phenols and Ethers', 'NEET']
source_db: MarksBatch2_P4.db
slug:
which-reaction-pathway-becomes-favourable-for-the-dehydration-of-secondary-and-tertiary-alcohols-89807

question:
<div class="question">Which reaction pathway becomes favourable for the dehydration of secondary and tertiary alcohols?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">SN1 pathway</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">SN2 pathway</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">E1 pathway</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">E2 pathway</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">E1 pathway</span> </div>

answer:
<div class="solution">Dehydration of secondary and tertiary alcohols typically follows the E1 pathway due to the competition between elimination and substitution.</div>


title: which-reagent-can-be-used-to-reduce-a-ketone-to-a-secondary-alcohol
slug: which-reagent-can-be-used-to-reduce-a-ketone-to-a-secondary-alcohol-77850
question: <div class="question">Which reagent can be used to reduce a ketone to a secondary alcohol?</div>
tags: ['Chemistry', 'Alcohols Phenols and Ethers', 'JEE Main']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">$\mathrm{H}_2 / \mathrm{Pd}$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">PCC (Pyridinium chlorochromate)</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">$\mathrm{NaBH}_4$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$\mathrm{KMnO}_4$</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">$\mathrm{NaBH}_4$</span> </div>

answer:
<div class="solution">$\mathrm{NaBH}_4$<br/>Explanation: Sodium borohydride $\left(\mathrm{NaBH}_4\right)$ is a mild reducing agent that reduces ketones to secondary alcohols</div>


title: which-reference-electrode-is-used-to-measure-the-electrode-potential-of-other-electrodes-1
slug: which-reference-electrode-is-used-to-measure-the-electrode-potential-of-other-electrodes-1-60486
tags: ['Chemistry', 'Electrochemistry', 'NEET']
answer: <div class="solution">Correct Option is : (D)<br/>Standard Hydrogen Electrode</div>
source_db: MarksBatch2_P4.db
question:
<div class="question">Which reference electrode is used to measure the electrode potential of other electrodes?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Standard Helium Electrode</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Standard Bromine Electrode</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Standard Oxygen Electrode</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Standard Hydrogen Electrode</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Standard Hydrogen Electrode</span> </div>


tags: ['Chemistry', 'Electrochemistry', 'NEET']
source_db: MarksBatch2_P4.db
title:
which-secondary-cell-has-a-longer-life-than-the-lead-storage-cell-but-is-more-expensive-to-manufacture

slug:
which-secondary-cell-has-a-longer-life-than-the-lead-storage-cell-but-is-more-expensive-to-manufacture-53401

question:
<div class="question">Which secondary cell has a longer life than the lead storage cell but is more expensive to manufacture?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Lithium-ion cell</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Alkaline cell</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Nickel-cadmium cell</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Zinc-carbon cell</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Nickel-cadmium cell</span> </div>

answer:
<div class="solution">Nickel-cadmium cell has a longer life than the lead storage cell but is more expensive to manufacture.</div>


tags: ['Chemistry', 'Biomolecules', 'NEET']
source_db: MarksBatch2_P4.db
title:
which-secondary-structure-of-proteins-is-characterized-by-peptide-chains-laid-side-by-side-and-held-together-by-hydrogen-bonds

slug:
which-secondary-structure-of-proteins-is-characterized-by-peptide-chains-laid-side-by-side-and-held-together-by-hydrogen-bonds-70768

question:
<div class="question">Which secondary structure of proteins is characterized by peptide chains laid side by side and held together by hydrogen bonds?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Alpha-helix</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">Beta-pleated sheet</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Tertiary structure</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Quaternary structure</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Beta-pleated sheet</span> </div>

answer:
<div class="solution">The beta-pleated sheet structure in proteins involves peptide chains stretched out and held together by intermolecular hydrogen bonds.</div>


title: which-set-of-characters-belongs-to-the-same-phylum
slug: which-set-of-characters-belongs-to-the-same-phylum-26378
question: <div class="question">Which set of characters belongs to the same phylum?</div>
tags: ['Biology', 'Animal Kingdom', 'NEET']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">First true coelomates and nephridia as the excretory structures.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Pseudocoelomates and flame cells as the excretory structures.</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Acoelomates and metanephridia cells as the excretory structures.</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Eucoelomates and flame cells as the excretory structures.</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">First true coelomates and nephridia as the excretory structures.</span> </div>

answer:
<div class="solution">Annelida exhibit an organ-system level of body organization and bilateral symmetry. They are triploblastic, metamerically segmented, and coelomate animals. Their body surface is distinctly marked out into segments or metameres and, hence, the phylum name Annelida (Latin, annulus : little ring). They possess longitudinal and circular muscles that help in locomotion. Aquatic annelids like <em>Nereis</em> possess lateral appendages, parapodia, which help in swimming. A closed circulatory system is present. Nephridia (sing. nephridium) helps in osmoregulation and excretion. The neural system consists of paired ganglia (sing. ganglion) connected by lateral nerves to a double ventral nerve cord. <em>Nereis</em>, an aquatic form, is dioecious, but earthworms and leeches are monoecious. Reproduction is sexual.<br/><br/>Examples: <em>Nereis, Pheretima</em> (Earthworm), and <em>Hirudinaria</em> (Bloodsucking leech).</div>


title: which-simple-tissue-is-characterized-by-pits
slug: which-simple-tissue-is-characterized-by-pits-36901
question: <div class="question">Which simple tissue is characterized by pits?</div>
tags: ['Biology', 'Anatomy of Flowering Plants', 'NEET']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Collenchyma</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Parenchyma</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Sclerenchyma</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">All of these</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Sclerenchyma</span> </div>

answer:
<div class="solution">Pits are those region in where secondary wall material fails to get deposits, as a result a small gap is left. At the region of pit only primary wall is present. Pit makes secondary wall permeable. Secondary wall develops only in sclerenchyma, thus pits are present only in sclerenchyma.</div>


tags: ['Chemistry', 'Electrochemistry', 'NEET']
source_db: MarksBatch2_P4.db
title:
which-species-is-indicated-as-the-strongest-oxidizing-agent-based-on-its-standard-electrode-potential

slug:
which-species-is-indicated-as-the-strongest-oxidizing-agent-based-on-its-standard-electrode-potential-89192

question:
<div class="question">Which species is indicated as the strongest oxidizing agent based on its standard electrode potential?</div>

options:
<ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Hydrogen gas (H<sub>2</sub>)</span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">Fluorine gas (F<sub>2</sub>)</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Lithium-ion (Li+)</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Copper ion (Cu2+)</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Fluorine gas (F<sub>2</sub>)</span> </div>

answer:
<div class="solution">Fluorine gas (F<sub>2</sub>) has the highest standard electrode potential, indicating that it is the strongest oxidizing agent.</div>


title: which-statement-best-describes-heterotrophic-bacteria
slug: which-statement-best-describes-heterotrophic-bacteria-96825
question: <div class="question">Which statement best describes heterotrophic bacteria?</div>
tags: ['Biology', 'Biological Classification', 'NEET']
source_db: MarksBatch2_P4.db
options:
<ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">Heterotrophic bacteria are the most abundant type of bacteria in nature.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Heterotrophic bacteria are not important decomposers.</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Heterotrophic bacteria only exist in certain environments.</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Heterotrophic bacteria are the least abundant type of bacteria in nature.</span> </li> </ul>

correct_option:
<div class="correct-answer">
The correct answer is:
<span class="option-value">Heterotrophic bacteria are the most abundant type of bacteria in nature.</span> </div>

answer:
<div class="solution">Heterotrophic bacteria are the most abundant in nature and that the majority of them are important decomposers.</div>


