id
stringlengths 26
26
| question
stringlengths 39
1.22k
| chain
stringlengths 20
3.76k
| result
stringclasses 5
values | options
dict | question_without_options
stringlengths 3
1.14k
|
|---|---|---|---|---|---|
aqua_rat__1Pt1QP4XHkfHVBMr | Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for R to be in the position where T is now shown. The number of degrees through which RSTU is rotated is Choose the correct choice from the following answers:
A) 135 degree B) 180 degree C) 225 degree D) 270 degree E) 315 degree | From the options, I am assuming the positioning of T and R relative to each other to be as shown. To replace T by R, focus on OR. Say, you rotate OR clockwise (and with it the entire square) and bring it in place of OT. How many degrees did you go? You covered 2 right angles i.e. 180 degrees. Answer : 180 degree
<result>B</result> | B | {
"A": "135 degree",
"B": "180 degree",
"C": "225 degree",
"D": "270 degree",
"E": "315 degree"
} | Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for R to be in the position where T is now shown. The number of degrees through which RSTU is rotated is |
aqua_rat__p2gkPXTB2lOIRPNV | Set M contains number that satisfy the condition that, if integer x is in the set then x + 6 will also be in the set M. If -4 is one value in the set, which of the following values must also be present in the set M? I) -10 II) 2 III) 8 Choose the correct choice from the following answers: A) I only B) II only C) I and II only D) II and III only E) I, II and III | Since -4 is in the set, then the set must also include 2, 8, 14, 20, etc... Depending on whether -4 is the starting element in the set or not, we can have -10...or not. The answer is II and III only.
<result>D</result> | D | {
"A": "I only",
"B": "II only",
"C": "I and II only",
"D": "II and III only",
"E": "I, II and III"
} | Set M contains number that satisfy the condition that, if integer x is in the set then x + 6 will also be in the set M. If -4 is one value in the set, which of the following values must also be present in the set M? I) -10 II) 2 III) 8 |
aqua_rat__baELUPSb6NIyqsEZ | Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in? Choose the correct choice from the following choices
A) 6 B) 5 C) 7 D) 9 E) 2 | 1/10 + 1/15 - 1/x = 1/18 x = 9 Answer:9
<result>D</result> | D | {
"A": "6",
"B": "5",
"C": "7",
"D": "9",
"E": "2"
} | Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in? |
aqua_rat__YCtDpmJHVlnxCkUV | Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 6% sugar, what should be the ratio of Cereal A to Cereal B, by weight? Choose the correct choice from the following options
A) 2:9 B) 2:7 C) 1:6 D) 1:4 E) 1:1 | Ratio of A / Ratio of B = (Average Wt of Mixture - Wt of B)/(Wt of A - Average Wt of Mixture) => Ratio of A / Ratio of B = (6 - 2)/(10 - 6) =4/4 So they should be mixed in the ratio 1:1 Answer - 1:1
<result>E</result> | E | {
"A": "2:9",
"B": "2:7",
"C": "1:6",
"D": "1:4",
"E": "1:1"
} | Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 6% sugar, what should be the ratio of Cereal A to Cereal B, by weight? |
aqua_rat__hLZFrXQUGPh08Gzx | What is the sum of all remainders obtained when the first 130 natural numbers are divided by 9?
Choices:
A) 397
B) 401
C) 403
D) 412
E) 399 | A positive integer can give only the following 9 remainders when divided by 9: 1, 2, 3, 4, 5, 6, 7, 8, and 0. 1 divided by 9 gives the remainder of 1; 2 divided by 9 gives the remainder of 2; ... 8 divided by 9 gives the remainder of 8; 9 divided by 9 gives the remainder of 0. We'll have 11 such blocks, since 99/9=
<gadget id="calculator"> 99/9</gadget>
<output>11</output>
11. The last will be: 91 divided by 9 gives the remainder of 1; 92 divided by 9 gives the remainder of 2; ... 98 divided by 9 gives the remainder of 8; 99 divided by 9 gives the remainder of 0. The last number, 100, gives the remainder of 1 when divided by 9, thus the sum of all remainders will be: 11(1+2+3+4+5+6+7+8+0)+1=412. Answer: 412.
<result>D</result> | D | {
"A": "397",
"B": "401",
"C": "403",
"D": "412",
"E": "399"
} | What is the sum of all remainders obtained when the first 130 natural numbers are divided by 9? |
aqua_rat__5i9lfHG56m15SfDl | A merchant marks his wares 40% more than the real price and allows 20% discount. His profit is: Select
A) 20% B) 18% C) 16% D) 12% E) None of these | Let the CP = 100 Rs. Mark Price = 140 12%iscount = 20% Selling price 80/100 × 140 Hence profit = 12% Answer: 12%.
<result>D</result> | D | {
"A": "20%",
"B": "18%",
"C": "16%",
"D": "12%",
"E": "None of these"
} | A merchant marks his wares 40% more than the real price and allows 20% discount. His profit is: |
aqua_rat__HwhlCsDk82poT7o4 | The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is? Choose the correct choice from the following answers
A) 30/7 B) 30/9 C) 30/2 D) 30/3 E) 30/6 | Required fraction = L.C.M of 6/7, 5/14, 10/21 = (L.C.M of 6, 5, 10) / (H.C.F of 7, 14, 21) = 30/7 30/7nswer:30/7
<result>A</result> | A | {
"A": "30/7",
"B": "30/9",
"C": "30/2",
"D": "30/3",
"E": "30/6"
} | The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is? |
aqua_rat__MNvt0oDPZXomtNig | Rhoda tosses a coin 5 times. Find the probability of getting exactly 4 heads.
Answers.
A) 5/32 B) 6/32 C) 5/16 D) 4/32 E) 8/32 | Exactly 4 heads out of 5 would be: HHHHT, HHTHH, or many other combinations. therefore, no. of possible combinations are 5!/4!*1! = 5 Probability = 5/2^5 = 5/32 5/32NSWER:5/32
<result>A</result> | A | {
"A": "5/32",
"B": "6/32",
"C": "5/16",
"D": "4/32",
"E": "8/32"
} | Rhoda tosses a coin 5 times. Find the probability of getting exactly 4 heads. |
aqua_rat__jVJUo5tJzwxuY0I7 | A trader sold two items for Rs.2500 each, if he made a profit of 28% from the first item and a loss of 20% from the second item, calculate his total gain or loss.
Choose the most appropriate option.
A) 2.6 B) 12.6 C) 3.6 D) 7.6 E) 5.6 | (28*20)/100=
<gadget id="calculator">(28*20)/100</gadget>
<output>28/5 = around 5.6</output>
5.6% Answer: 5.6
<result>E</result> | E | {
"A": "2.6",
"B": "12.6",
"C": "3.6",
"D": "7.6",
"E": "5.6"
} | A trader sold two items for Rs.2500 each, if he made a profit of 28% from the first item and a loss of 20% from the second item, calculate his total gain or loss. |
aqua_rat__6N4gun0yLSX8mjlu | While working alone at their constant rates, computer X can process 240 files in 4 hours, and computer Y can process 240 files in 6 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files? Pick one:
A) 2
B) 2.2
C) 2.4
D) 2.6
E) 2.8 | Both computers together process files at a rate of 240/4 + 240/6 = 60+40=
<gadget id="calculator">60+40</gadget>
<output>100</output>
100 files per hour. The time required to process 240 files is 240/100=
<gadget id="calculator"> 240/100</gadget>
<output>12/5 = around 2.4</output>
2.4 hours The answer is 2.4.
<result>C</result> | C | {
"A": "2",
"B": "2.2",
"C": "2.4",
"D": "2.6",
"E": "2.8"
} | While working alone at their constant rates, computer X can process 240 files in 4 hours, and computer Y can process 240 files in 6 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files? |
aqua_rat__K8qKoQsZPZgnZ3gC | A sum of Rs. 1530 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is: Choose the correct choice from the following options: A) Rs. 120 B) Rs. 160 C) Rs. 270 D) Rs. 300 E) None | EXPLANATION Let C’s share = Rs. x Then, B’s share = Rs. x/4 , A’s share = Rs. (2/3 x x/4 ) = Rs. x/6 =x/6 + x/4 + x = 1530 => 17x/12 = 1530 => 1530 x 12/ 17 = Rs.1080 Hence, B’s share = Rs. (1080/4) = Rs. 270. Answer Rs. 270
<result>C</result> | C | {
"A": "Rs. 120",
"B": "Rs. 160",
"C": "Rs. 270",
"D": "Rs. 300",
"E": "None"
} | A sum of Rs. 1530 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is: |
aqua_rat__wrZrCjiC3t5eh7kE | The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 55 with him, what was the average amount with the group before his joining the group? Pick:
A) s. 25.6
B) s. 155/6
C) s. 16.6
D) s. 260/6
E) s. 25 | Total members in the group = 7 Average amount = Rs. 30 Total amount with them = 7 * 30 = Rs. 210 One number has Rs. 55. So, the amount with remaining 6 people = 210 - 55= Rs. 155 The average amount with them = 155/6 ANSWER:s. 155/6
<result>B</result> | B | {
"A": "s. 25.6",
"B": "s. 155/6",
"C": "s. 16.6",
"D": "s. 260/6",
"E": "s. 25"
} | The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 55 with him, what was the average amount with the group before his joining the group? |
aqua_rat__kWPq7T9fconI8Qkl | Three of the sides of a rectangular prism have areas of 91, 39, and 21. What is the volume of the rectangular prism?
Select:
A) 252
B) 269
C) 273
D) 920
E) 1911 | One easy way to get the answer for this question is just multiply the unit's digits of these three numbers, i.e (1*9*1 = 9) (Why the multiplication is needed?, you can see the solution suggested by Bunuel in the above post) Now look out for the answer whose square gives us a 9 in the unit place. So, it is easy to pic (273) 273 whose square will give us a 9 in the unit place( 3*3), and hence this is the answer.
<result>C</result> | C | {
"A": "252",
"B": "269",
"C": "273",
"D": "920",
"E": "1911"
} | Three of the sides of a rectangular prism have areas of 91, 39, and 21. What is the volume of the rectangular prism? |
aqua_rat__xXvJqJqi42GcUsrM | If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability E that this product will be a multiple of 45? Choose the most appropriate option: A) 1/32 B) 1/28 C) 1/24 D) 1/16 E) 1/14 | There are 3 single digit multiple of 3, that is, 3,6,9. There are 8 prime nos less than 20 - 2,3,5,7,11,13,17,19 Total outcome - 8*3 = 24 Favourable outcome = 1 (9*5) Hence required probability E= 1/24. Answer 1/24.
<result>C</result> | C | {
"A": "1/32",
"B": "1/28",
"C": "1/24",
"D": "1/16",
"E": "1/14"
} | If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability E that this product will be a multiple of 45? |
aqua_rat__ne4jmrZkkd1QOTJc | At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:00 a.m., how long will the conference last if there are a total of 6 seminars that day?
Choices: A) hours and 15 minutes B) hours and 20 minutes C) hours and 25 minutes D) hours and 30 minutes E) hours and 35 minutes | Well its like this S B S B S B S B S B S the interval between 9 am to 11:40 am is 160 min having 3 seminars and 2 breaks .If 1 break is of 5 min than time for 3 seminars = 160 - 2*5=
<gadget id="calculator">160 - 2*5</gadget>
<output>150</output>
150 Time of 1 seminar=150 /3=
<gadget id="calculator">150 /3</gadget>
<output>50</output>
50 min . So calculating for 6 seminars and 5 breaks ,total time comes out to be 5 hrs and 35 min . Answer is hours and 35 minutes.
<result>E</result> | E | {
"A": "hours and 15 minutes",
"B": "hours and 20 minutes",
"C": "hours and 25 minutes",
"D": "hours and 30 minutes",
"E": "hours and 35 minutes"
} | At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:00 a.m., how long will the conference last if there are a total of 6 seminars that day? |
aqua_rat__IHxq1iUTG9Hj56E0 | The average of 13 result is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th result? Answers:
A) 35 B) 37 C) 46 D) 48 E) 50 | Sum of all the 13 results = 13 * 60=
<gadget id="calculator">13 * 60</gadget>
<output>780</output>
780 Sum of the first 7 of them= 7 * 57=
<gadget id="calculator">7 * 57</gadget>
<output>399</output>
399 Sum of the last 7 of them= 7 * 61=
<gadget id="calculator">7 * 61</gadget>
<output>427</output>
427 So, the 8th number= 427 + 399 - 780=
<gadget id="calculator">427 + 399 - 780</gadget>
<output>46</output>
46. 46
<result>C</result> | C | {
"A": "35",
"B": "37",
"C": "46",
"D": "48",
"E": "50"
} | The average of 13 result is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th result? |
aqua_rat__YIQKKjfBRO9wFDdN | What sum of money will produce Rs.60 as simple interest in 4 years at 3 1/2 percent? Choose the correct choice from the following:
A) 337
B) 429
C) 266
D) 288
E) 211 | 60 = (P*4*7/2)/100 P = 429 Answer: 429
<result>B</result> | B | {
"A": "337",
"B": "429",
"C": "266",
"D": "288",
"E": "211"
} | What sum of money will produce Rs.60 as simple interest in 4 years at 3 1/2 percent? |
aqua_rat__ivRHnrFbWk13TK9J | The sum of ages of 5 children born at the intervals of 3 years each is 70 years. What is the age of the youngest child? Choose the correct choice from the following options
A) 3 years B) 4 years C) 6 years D) 7 years E) 8 years | Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years. Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 70 5x = 40 x = 8. Age of the youngest child = x = 8 years. 8 years)
<result>E</result> | E | {
"A": "3 years",
"B": "4 years",
"C": "6 years",
"D": "7 years",
"E": "8 years"
} | The sum of ages of 5 children born at the intervals of 3 years each is 70 years. What is the age of the youngest child? |
aqua_rat__Burk5lR60FdURzlK | A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point? Choose one:
A) 120 sec
B) 165 sec
C) 186 sec
D) 167 sec
E) 168 sec | Time taken to meet for the first time at the starting point = LCM { length of the track / speed of A , length of the track / speed of B} = LCM { 600/ (36 * 5/18) , 600/ (54 * 5 /18) } = LCM (60, 40) =120 sec. 120 secnswer:120 sec
<result>A</result> | A | {
"A": "120 sec",
"B": "165 sec",
"C": "186 sec",
"D": "167 sec",
"E": "168 sec"
} | A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point? |
aqua_rat__qjJQ48j6tYJzmEp4 | How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length? Choose the correct choice from the following answers:
A) 16.5 B) 16.0 C) 16.4 D) 16.8 E) 16.1 | 16.8 = 110 + 170=
<gadget id="calculator">110 + 170</gadget>
<output>280</output>
280 m S= 60 * 5/18 = 50/3 T = 280 * 3/50=
<gadget id="calculator">280 * 3/50</gadget>
<output>84/5 = around 16.8</output>
16.8 sec Answer: 16.8
<result>D</result> | D | {
"A": "16.5",
"B": "16.0",
"C": "16.4",
"D": "16.8",
"E": "16.1"
} | How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length? |
aqua_rat__oTNG9z6XYBPKpd5G | What are the last two digits of 55*34*86*47*23*51? Choose one:
A) 18 B) 20 C) 23 D) 25 E) 57 | 55*34*86*47*23*51= We have to focus on the last two digits only, so 55*34=70*86=20*47=40 40*23=20 therefore 20*51=20 Hence Answer is 20
<result>B</result> | B | {
"A": "18",
"B": "20",
"C": "23",
"D": "25",
"E": "57"
} | What are the last two digits of 55*34*86*47*23*51? |
aqua_rat__9vctLcvawkuZRBYZ | A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum. Choose the correct choice from the following
A) 277 B) 277 C) 2877 D) 2000 E) 2711 | P(11/10)4 - P(6/5)2 = 482 P = 2000 Answer: 2000
<result>D</result> | D | {
"A": "277",
"B": "277",
"C": "2877",
"D": "2000",
"E": "2711"
} | A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum. |
aqua_rat__EfAvM0sVjXGdzLUY | The daytime telephone rate between two cities is 60 cents for the first 3 minutes and c cents for each additional minute. The total charge is reduced 40 percent on calls made after 10:00 P.M. The cost, in dollars, of a 35-minute call made at 10:30 P.M. between these two cities is:
Choose the correct choice from the following answers:
A) 0.4(0.60) + 35c
B) 0.4(0.60 + 0.32c)
C) 0.4(0.60 + 9c)
D) 0.6(0.60 + 32c)
E) 0.6(0.60 + 0.35c) | For first three minutes = 60 cents Remaining minutes = 35 -3=
<gadget id="calculator">35 -3</gadget>
<output>32</output>
32 charge for 32 minutes= 32c total cost (if the call was made in daytime) = 0.60 + 32c 40% chargereducedon night calls => 60% charge =>0.6(0.60 + 32c) Hence, Answer is 0.6(0.60 + 32c)
<result>D</result> | D | {
"A": "0.4(0.60) + 35c",
"B": "0.4(0.60 + 0.32c)",
"C": "0.4(0.60 + 9c)",
"D": "0.6(0.60 + 32c)",
"E": "0.6(0.60 + 0.35c)"
} | The daytime telephone rate between two cities is 60 cents for the first 3 minutes and c cents for each additional minute. The total charge is reduced 40 percent on calls made after 10:00 P.M. The cost, in dollars, of a 35-minute call made at 10:30 P.M. between these two cities is: |
aqua_rat__TDjUJgzeiQbGJHM3 | A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted? Choose the correct answer
A) 9
B) 61
C) 98
D) 54
E) 64 | Look at the image below: Little cubes with exactly one painted side will be those 3*3=
<gadget id="calculator">3*3</gadget>
<output>9</output>
9, which are in the center of each face. (6 faces)*(9 per each)= 54. Answer: 54.
<result>D</result> | D | {
"A": "9",
"B": "61",
"C": "98",
"D": "54",
"E": "64"
} | A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted? |
aqua_rat__TytcuKBDgzynIUwB | A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 36 instead of 86 then find the correct average marks up to two decimal places. Choices.
A) 73.41 B) 74.31 C) 72.43 D) 73.43 E) Cannot be determined | Correct average = 35x72+(86-36)/35 ≈ 72 + 1.43=
<gadget id="calculator"> 72 + 1.43</gadget>
<output>73.43</output>
73.43 Answer 73.43
<result>D</result> | D | {
"A": "73.41",
"B": "74.31",
"C": "72.43",
"D": "73.43",
"E": "Cannot be determined"
} | A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 36 instead of 86 then find the correct average marks up to two decimal places. |
aqua_rat__2W8qew1wiq6SHltc | A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? Options: A) Rs. 4991 B) Rs. 5991 C) Rs. 6991 D) Rs. 6001 E) None of these | Explanation: Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009. Required sale = Rs. [ (6500 x 6) - 34009 ] = Rs. (39000 - 34009) = Rs. 4991. Rs. 4991nswer: Rs. 4991
<result>A</result> | A | {
"A": "Rs. 4991",
"B": "Rs. 5991",
"C": "Rs. 6991",
"D": "Rs. 6001",
"E": "None of these"
} | A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? |
aqua_rat__EtHciEeLrO9AKFIj | A machine P completes a certain amount of work in 12 hrs and machine Q completes the same work in x hrs if both machines works together to complete the same work in 8 hrs then what is x? Choose the correct choice from the following answers
A) 12 hrs B) 18 hrs C) 24 hrs D) 32 hrs E) 34 hrs | Explanation: P’s 1hr work = 1/12 Q’s 1 hr work = 1/x (A+B)’s 1 hr work = 1/8 = 1/12+1/x => x = 24 hrs Answer: Option 24 hrs
<result>C</result> | C | {
"A": "12 hrs",
"B": "18 hrs",
"C": "24 hrs",
"D": "32 hrs",
"E": "34 hrs"
} | A machine P completes a certain amount of work in 12 hrs and machine Q completes the same work in x hrs if both machines works together to complete the same work in 8 hrs then what is x? |
aqua_rat__dZYoj1JiMZD5NCz7 | In the first 20 overs of a cricket game, the run rate was only 4.3. What should be the run rate in the remaining 30 overs to reach the target of 264 runs?
Select the correct option:
A) 5.93
B) 6.5
C) 6.75
D) 7
E) 8 | Explanation : Required run rate = (264 - (4.3 x 20))/30 = 178/30 = 5.93 5.93nswer : 5.93
<result>A</result> | A | {
"A": "5.93",
"B": "6.5",
"C": "6.75",
"D": "7",
"E": "8"
} | In the first 20 overs of a cricket game, the run rate was only 4.3. What should be the run rate in the remaining 30 overs to reach the target of 264 runs? |
aqua_rat__VrfnkeJwweELzR4p | The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?
Choose one:
A) 7 B) 6 C) 5 D) 1 E) 41 | Explanation: (10x + y) – (10y + x) = 54 x – y = 6 Answer: 6
<result>B</result> | B | {
"A": "7",
"B": "6",
"C": "5",
"D": "1",
"E": "41"
} | The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is? |
aqua_rat__bqbe1ZKeo5SxReHz | If a 7 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes? Choose the correct choice.
A) 140% B) 350% C) 450% D) 600% E) 700% | The area A of the large cube is 7*7*6=
<gadget id="calculator">7*7*6</gadget>
<output>294</output>
294 square cm. The area of the 343 small cubes is 7*7*7*6= 7A, an increase of 600%. The answer is 600%.
<result>D</result> | D | {
"A": "140%",
"B": "350%",
"C": "450%",
"D": "600%",
"E": "700%"
} | If a 7 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes? |
aqua_rat__MlnS4kxLdlClLpI5 | Population of a city in 2004 was 1000000. If in 2005 there is an increment of 35% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007 Choose the correct option
A) 967532 B) 977522 C) 984424 D) 997454 E) 1272375 | Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100) = P (1 + 35/100)(1 - 35/100)(1 + 45/100) = 1272375 1272375
<result>E</result> | E | {
"A": "967532",
"B": "977522",
"C": "984424",
"D": "997454",
"E": "1272375"
} | Population of a city in 2004 was 1000000. If in 2005 there is an increment of 35% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007 |
aqua_rat__yFI3RIN71MT1F03T | Out of n consecutive natural numbers, four numbers are selected such that the differences of all the possible pairs are distinct. What is the least value of n for which this is possible? Pick one: A) 6 B) 7 C) 8 D) 9 E) 10 | Explanation : Let the 4 numbers be X1, X2, X3, X4 where X1<X2<X3<X4. Let X1 + a1 = X2, X2 + a2 1 + 1=
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
X2, X2 + a2= X3, X3 + a3 = X4. The difference of X1 and each of the other three, of X2 and each of the greater two, of X3 and X4 are tabulated. X1 X2 X3 X2 a1 X3 a1+a2 a2 X4 a1+a2+a3 a2+a3 a3 We require that n be minimized and these 6 expressions have distinct values. Let X1 = 1 Now, n = 1+a1+a2+a3. Now a1, a2, a3 can be chosen as the least possible values i.e. 1,2 and 3. However the order of chosing should be such that the six expressions (differences) should all be distinct. By little trial and error (a1, a2, a3) can be (1, 3, 2) or (2, 3, 1) in which case n = 7 and the four numbers can be (1, 2, 5, 7) or (1, 3, 6, 7) respectively. Hence the minimum value of n is 7. Answer : 7
<result>B</result> | B | {
"A": "6",
"B": "7",
"C": "8",
"D": "9",
"E": "10"
} | Out of n consecutive natural numbers, four numbers are selected such that the differences of all the possible pairs are distinct. What is the least value of n for which this is possible? |
aqua_rat__ZPeTechcyp02d7Ap | A pipe takes a hours to fill the tank. But because of a leakage it took 5 times of its original time. Find the time taken by the leakage to empty the tank Choose one: A) 50 min B) 60 min C) 90 min D) 80 min E) 75 min | pipe a can do a work 60 min. lets leakage time is x; then 1/60 -1/x=1/300 x=75 min ANSW75 minR:75 min
<result>E</result> | E | {
"A": "50 min",
"B": "60 min",
"C": "90 min",
"D": "80 min",
"E": "75 min"
} | A pipe takes a hours to fill the tank. But because of a leakage it took 5 times of its original time. Find the time taken by the leakage to empty the tank |
aqua_rat__pilS5iIv0fMbbuXy | A person is traveling at 65 km/hr and reached his destiny in 3 hr then find the distance? Options:
A) 205 km B) 195 km C) 295 km D) 115 km E) 215 km | T = 3 hrs D= T*S = 65*3=
<gadget id="calculator">65*3</gadget>
<output>195</output>
195 km Answer is 195 km
<result>B</result> | B | {
"A": "205 km",
"B": "195 km",
"C": "295 km",
"D": "115 km",
"E": "215 km"
} | A person is traveling at 65 km/hr and reached his destiny in 3 hr then find the distance? |
aqua_rat__1otcllaTn52BzdXk | The number of boys in the class is 8 more than the number of girls in the class, which is five times the difference between the number of girls and boys in the class.How many boys are there in the class? Choose the correct choice from the following options
A) 20 B) 30 C) 40 D) 50 E) 60 | 8+y=5(x-y); y=no of girlz & x=boys so, y=32 & x=8+y ie 40 40 ans. ANSWER:40
<result>C</result> | C | {
"A": "20",
"B": "30",
"C": "40",
"D": "50",
"E": "60"
} | The number of boys in the class is 8 more than the number of girls in the class, which is five times the difference between the number of girls and boys in the class.How many boys are there in the class? |
aqua_rat__UVlsXThTt8f8NMmR | If it is a 3x3 matrix, for which elements in first row are (V, 50, W), second row (196,X, Y)and in third row are (269, Z, 123).It is given that the sum of the numbers in each row, column, diagonal are same. Then find the value of (Y + Z). Answers.
A) 1118 B) 1119 C) 1121 D) 1122 E) 1144 | matrix v 50 w 196 x y 269 z 123 in 1st row and 1st column v+196+269=v+50+w w=415 Again, in 2nd column and 3rd row 50+x+z=269+z+123 x=342 As sum of each row column and diagonal are same. So, 269+342+415=1026 415+y+123=1026 y=488 269+z+123=1026 z=634 y+z=488+634=
<gadget id="calculator">488+634</gadget>
<output>1_122</output>
1122 ANSWER:1122
<result>D</result> | D | {
"A": "1118",
"B": "1119",
"C": "1121",
"D": "1122",
"E": "1144"
} | If it is a 3x3 matrix, for which elements in first row are (V, 50, W), second row (196,X, Y)and in third row are (269, Z, 123).It is given that the sum of the numbers in each row, column, diagonal are same. Then find the value of (Y + Z). |
aqua_rat__eD2wBLsob94iFUcq | The greatest number of four digits which is divisible by 10, 20, 25 and 60 is: Choose one: A) 9000 B) 9300 C) 9400 D) 9600 E) 9700 | Greatest number of 4-digits is 9999. L.C.M. of 10, 20, 25 and 60 is 1500. On dividing 9999 by 1500, the remainder is 999. Required number (9999 - 999)=
<gadget id="calculator"> (9999 - 999)</gadget>
<output>9_000</output>
9000. 9000NSWER :9000
<result>A</result> | A | {
"A": "9000",
"B": "9300",
"C": "9400",
"D": "9600",
"E": "9700"
} | The greatest number of four digits which is divisible by 10, 20, 25 and 60 is: |
aqua_rat__5tCMKhSE0v8D2T7K | A company, Chauncy Co., has an annual travel budget of $59,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year? Choose the correct choice: A) Expenses will not go over the budget. B) $500 C) $4,225 D) $1,725 E) $60,725 | annual travel budget of $59,000 Let, Transportation expenses = T = 19500 and Non-Transportation expenses = N=35000 i.e. Increased Transportation expenses = 1.05T = 20475 and Increased Non-Transportation expenses = 1.15N = 40250 Total Expense = 20475+40250=
<gadget id="calculator">20475+40250</gadget>
<output>60_725</output>
60725 Expense over Budget= Budget - expense = 59000-60725 = 1725 Answer: Option $1,725
<result>D</result> | D | {
"A": "Expenses will not go over the budget.",
"B": "$500",
"C": "$4,225",
"D": "$1,725",
"E": "$60,725"
} | A company, Chauncy Co., has an annual travel budget of $59,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year? |
aqua_rat__KYrI255TqMkXiacg | If each term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 343, which of the following could be equal to n? Choose the correct choice from the following answers.
A) 38 B) 39 C) 40 D) 41 E) 42 | Since, there is no 49 in the answer choices (343/7 = 49), we know there is at least one 77. 343 - 77=
<gadget id="calculator">343 - 77</gadget>
<output>266</output>
266 266/7=
<gadget id="calculator">266/7</gadget>
<output>38</output>
38 38+1=
<gadget id="calculator">38+1</gadget>
<output>39</output>
39. If 39 wasn't there, I would have subtracted 77 from 266 and continued in a similar way. Ans.39
<result>B</result> | B | {
"A": "38",
"B": "39",
"C": "40",
"D": "41",
"E": "42"
} | If each term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 343, which of the following could be equal to n? |
aqua_rat__Fs1nub6TfZNVpiVO | Company P had 15 percent more employees in December than it had in January. If Company P had 470 employees in December, how many employees did it have in January? Select the correct option
A) 391
B) 408
C) 410
D) 423
E) 445 | D = number of employees in December J = number of employees in January J x 1.15 = D J x 1.15 = 470 J = 470/1.15 J = 47,000/115 = 408 Thus 408 is the correct answer.
<result>B</result> | B | {
"A": "391",
"B": "408",
"C": "410",
"D": "423",
"E": "445"
} | Company P had 15 percent more employees in December than it had in January. If Company P had 470 employees in December, how many employees did it have in January? |
aqua_rat__tqrcarLBLzxTFWnL | Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?
Choose the correct choice from the following options: A) 5 B) 6 C) 1 D) 7 E) 8 | 2M + 3W ----- 35 h 4M + 4W ------- 21 h 7M -------? d 70M + 105W = 84M +84M 21W = 14M => 2M = 3W 4 * 35 = 7 * x => x = 20 hours 20/4=
<gadget id="calculator">20/4</gadget>
<output>5</output>
5 days 5nswer: 5
<result>A</result> | A | {
"A": "5",
"B": "6",
"C": "1",
"D": "7",
"E": "8"
} | Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is? |
aqua_rat__g4VZgfHahC6rpQF9 | If log 2= 0.030103, the number of digits in 264 is : Choose the most appropriate option:
A) 18
B) 19
C) 20
D) 21
E) 22 | log 264 = 64 log 2 = (64*0.30103) = 1926592 Its characteristics is 19. Hence, the number of digits in 264 is 20. ANSWER:20
<result>C</result> | C | {
"A": "18",
"B": "19",
"C": "20",
"D": "21",
"E": "22"
} | If log 2= 0.030103, the number of digits in 264 is : |
aqua_rat__vBBkKsQn35ug3ImQ | If air is called green , green is called blue, blue is called orange, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ?
Options: A) Orange B) Sky C) Water D) Yellow E) Black | Explanation:
The colour of clear sky is 'blue' and as given, 'blue' is called 'orange'.
So, the colour of clear sky is 'orange'.
Orangenswer: Orange
<result>A</result> | A | {
"A": "Orange",
"B": "Sky",
"C": "Water",
"D": "Yellow",
"E": "Black"
} | If air is called green , green is called blue, blue is called orange, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ? |
aqua_rat__k9VR9FY1NETfFP2t | A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.12000. A's share is?
Choose the correct choice from the following.
A) 8876 B) 2765 C) 4000 D) 1298 E) 1261 | x* 12 : 2x* 6: 3x* 4 1:1:1 1/3 * 12000=
<gadget id="calculator">1/3 * 12000</gadget>
<output>4_000</output>
4000 Answer:4000
<result>C</result> | C | {
"A": "8876",
"B": "2765",
"C": "4000",
"D": "1298",
"E": "1261"
} | A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.12000. A's share is? |
aqua_rat__t6uE2bEksYhaZnyD | In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.7 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on? Choose the correct choice from the following answers.
A) 1-0.06^10 B) 1-0.3^10 C) (1-0.3)^10 D) 0.06 E) 1-10*0.06 | ans B. Prob that light will not turned off = 0.3^10. Hence prob (turn off) = 1 - prob (not turn off).
<result>B</result> | B | {
"A": "1-0.06^10",
"B": "1-0.3^10",
"C": "(1-0.3)^10",
"D": "0.06",
"E": "1-10*0.06"
} | In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.7 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on? |
aqua_rat__u4xgLOgZCRyLC7LD | Winona can purchase a pencil and two pens for 250 cents, or two pencils and three pens for 425
cents. If the cost of a pencil and the cost of a pen does not change, compute the cost in cents
of FIve pencils and six pens. Choose the correct choice from the following answers.
A) 550 cents.
B) 650 cents.
C) 750 cents.
D) 850 cents.
E) 950 cents. | If we add one pencil and one pen, an order increases in price by 175 cents. Therefore, adding four pencils and four pens increases the order by 700 cents, so the cost of five pencils and six pens is 700 + 250=
<gadget id="calculator"> 700 + 250</gadget>
<output>950</output>
950 cents. correct answer 950 cents.
<result>E</result> | E | {
"A": "550 cents.",
"B": "650 cents.",
"C": "750 cents.",
"D": "850 cents.",
"E": "950 cents."
} | Winona can purchase a pencil and two pens for 250 cents, or two pencils and three pens for 425
cents. If the cost of a pencil and the cost of a pen does not change, compute the cost in cents
of FIve pencils and six pens. |
aqua_rat__th0UWzEDUPRTErhp | A tap can fill a tank in 10 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely? Choose the correct answer
A) 5 hrs 15 mins B) 11 hrs 15 mins C) 3 hrs 15 mins D) 6 hrs 15 mins E) 7 hrs 15 mins | Time taken by one tap to fill the tank = 5 hrs. Part filled by the taps in 1 hour = 4 * 1/10 = 2/5 Remaining part = 1 - 1/2 = 1/2 2/5 : 1/2 :: 1 : x x = 1/2 * 1 * 5/2 = 5/4 = 1 hr 15 mins So, total time taken = 11 hrs 15 mins ANSWER: 11 hrs 15 mins
<result>B</result> | B | {
"A": "5 hrs 15 mins",
"B": "11 hrs 15 mins",
"C": "3 hrs 15 mins",
"D": "6 hrs 15 mins",
"E": "7 hrs 15 mins"
} | A tap can fill a tank in 10 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely? |
aqua_rat__I0xKIwPbOKhRyzFF | A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent? Choose the correct choice
A) 30% B) 10% C) 20% D) 19% E) 50% | 2420 --- 242 100 --- ? => 10% Answer: 10%
<result>B</result> | B | {
"A": "30%",
"B": "10%",
"C": "20%",
"D": "19%",
"E": "50%"
} | A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent? |
aqua_rat__8zkCv2evhRdNzvgG | In a card game, a combination of three kings beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination? Options.
A) 1/5550
B) 1/5600
C) 1/5400
D) 1/5525
E) 1/5425 | he best possible combination is the case when he wins in his first two draws There are 52 cards in a deck of cards with 4 kings in it. Probability of first card to be king = 4/52 Probability of Second card to be king = 3/51 Probability of third card to be king = 2/50 Probability of Best possible case = (4/52)*(3/51)*(2/50) = 1/5525 1/5525
<result>D</result> | D | {
"A": "1/5550",
"B": "1/5600",
"C": "1/5400",
"D": "1/5525",
"E": "1/5425"
} | In a card game, a combination of three kings beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination? |
aqua_rat__Yk5Jmdr5hFSk7p2d | Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train? Pick.
A) 228 B) 266 C) 175 D) 99 E) 171 | RS = 40 – 22 = 18 * 5/18=
<gadget id="calculator">18 * 5/18</gadget>
<output>5</output>
5 mps T= 60 sec D = 5 * 60=
<gadget id="calculator">5 * 60</gadget>
<output>300</output>
300 m 125 -------- 175 m Answer: 175
<result>C</result> | C | {
"A": "228",
"B": "266",
"C": "175",
"D": "99",
"E": "171"
} | Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train? |
aqua_rat__4yKxIKC6ucrIH8hZ | A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
Choose the correct choice from the following choices
A) 650 B) 690 C) 698 D) 700 E) 710 | S.I. for 1 year = Rs. (854 - 815) = Rs. 39. S.I. for 3 years = Rs.(39 x 3) = Rs. 117. Principal = Rs. (815 - 117) = Rs. 698. Answer: Option 698
<result>C</result> | C | {
"A": "650",
"B": "690",
"C": "698",
"D": "700",
"E": "710"
} | A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is? |
aqua_rat__vYu1O9qysHSwq0Eq | A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C? Choose the correct choice from the following:
A) 100
B) 400
C) 300
D) 500
E) 700 | Explanation : Amount of work A can do in 1 day = 1/6 Amount of work 400 can do in 1 day = 1/8 Amount of work A + 400 can do in 1 day = 1/6 + 1/8 = 7/24 Amount of work A + 400 + C can do = 1/3 Amount of work C can do in 1 day = 1/3 - 7/24 = 1/24 work A can do in 1 day: work 400 can do in 1 day: work C can do in 1 day = 1/6 : 1/8 : 1/24 = 4 : 3 : 1 Amount to be paid to C = 3200 × (1/8) = 400 ANSWER:400
<result>B</result> | B | {
"A": "100",
"B": "400",
"C": "300",
"D": "500",
"E": "700"
} | A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C? |
aqua_rat__GDKTbJimCLnTdJL8 | A man has Rs.355 in the denominations of one-rupee notes, 20-rupee notes and 50-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choose one.
A) 20 B) 15 C) 71 D) 40 E) 60 | Let number of notes of each denomination be x. Then x + 20x + 50x = 355 71x = 355 x = 5 Hence, total number of notes = 3x = 15. Answer is 15.
<result>B</result> | B | {
"A": "20",
"B": "15",
"C": "71",
"D": "40",
"E": "60"
} | A man has Rs.355 in the denominations of one-rupee notes, 20-rupee notes and 50-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? |
aqua_rat__cB3RzN8vBrJXKlrY | If √10 = 3.16, find the value of If √5/2
Select the correct option
A) 1.3 B) 1.58 C) 2.03 D) 2.15 E) None of these | Explanation: √(5/2) =√(5×2/2×2)= √(10)/2 =3.16/2=
<gadget id="calculator">3.16/2</gadget>
<output>1.58</output>
1.58 ANSWER: 1.58
<result>B</result> | B | {
"A": "1.3",
"B": "1.58",
"C": "2.03",
"D": "2.15",
"E": "None of these"
} | If √10 = 3.16, find the value of If √5/2 |
aqua_rat__1A1YOA67UAX4zfWD | If daily wages of a man is double to that of a woman, how many men should work for 10 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600. Answers
A) 12 B) 14 C) 16 D) 20 E) 40 | 40xplanation : Wages of 1 woman for 1 day = 21600/40×30 Wages of 1 man for 1 day = 21600×2/40×30 Wages of 1 man for 10 days = 21600×2×10/40×30 Number of men = 14400/(21600×2×10/40×30)=144/(216×20/40×30)=40 Answer : Option 40
<result>E</result> | E | {
"A": "12",
"B": "14",
"C": "16",
"D": "20",
"E": "40"
} | If daily wages of a man is double to that of a woman, how many men should work for 10 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600. |
aqua_rat__CJfRdOYJ3PmePEVC | A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ? Choose the correct choice from the following answers:
A) 6 min to empty B) 7 min to full C) 6 min to full D) 7 min to empty E) None of these | Explanation: There are two important points to learn in this type of question, First, if both will open then tank will be empty first. Second most important thing is, If we are calculating filling of tank then we will subtract as (filling-empting) If we are calculating empting of thank then we will subtract as (empting-filling) So lets come on the question now, Part to emptied 2/5 Part emptied in 1 minute = 1/6-1/10=1/15 =>1/15:2/5::1:x =>2/5∗15=6mins 6 min to emptyNSWER IS 6 min to empty
<result>A</result> | A | {
"A": "6 min to empty",
"B": "7 min to full",
"C": "6 min to full",
"D": "7 min to empty",
"E": "None of these"
} | A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ? |
aqua_rat__3Eory0R8Oqr2Tdjv | In a class of 30 students, 5 students did not borrow any books from the library, 10 students each borrowed 1 book, 8 students each borrowed 2 books, and the rest of the students each borrowed at least 4 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed ? Pick one: A) 5 B) 8 C) 16 D) 18 E) 20 | The average number of books per student was 2means that total of 2*30=
<gadget id="calculator"> 2*30</gadget>
<output>60</output>
60 books were borrowed; 5+12+8=
<gadget id="calculator">5+12+8</gadget>
<output>25</output>
25 students borrowed total of 5*0+12*1+8*2=
<gadget id="calculator"> 5*0+12*1+8*2</gadget>
<output>28</output>
28 books; So 60-28=
<gadget id="calculator"> 60-28</gadget>
<output>32</output>
32 books are left to distribute among 30-25=
<gadget id="calculator">30-25</gadget>
<output>5</output>
5 students, these 5 arethe rest who borrowed at least 4 books; Tomaximizethe number of books one student from above 5 could have borrowed we shouldminimizethe number of books other 4 students from 5 could have borrowed. Minimum these 4 students could have borrowed is 4 books per student, so total number of books they could have borrowed is 4*4=
<gadget id="calculator">4*4</gadget>
<output>16</output>
16 books. So the 5th student could have borrowed is 32-16=
<gadget id="calculator"> 32-16</gadget>
<output>16</output>
16 books. Answer: 16.
<result>C</result> | C | {
"A": "5",
"B": "8",
"C": "16",
"D": "18",
"E": "20"
} | In a class of 30 students, 5 students did not borrow any books from the library, 10 students each borrowed 1 book, 8 students each borrowed 2 books, and the rest of the students each borrowed at least 4 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed ? |
aqua_rat__1AGjxKvSC63TMuVT | The L.C.M of two numbers is 45 times their H.C.F if one of the numbers is 125and sum of H.C.F and L.C.M. is 1150, the other number is: Select:
A) 215
B) 220
C) 225
D) 235
E) none of these | Let H.C.F be h and L.CM be l.Then, l-45h and l+h=1150 45h+h=1150 or h=25.so, l=(1150-25)-1125. Hence, other number=(25*1125/125)=
<gadget id="calculator">(25*1125/125)</gadget>
<output>225</output>
225. 225orrect Option:225
<result>C</result> | C | {
"A": "215",
"B": "220",
"C": "225",
"D": "235",
"E": "none of these"
} | The L.C.M of two numbers is 45 times their H.C.F if one of the numbers is 125and sum of H.C.F and L.C.M. is 1150, the other number is: |
aqua_rat__F2EYPjecx9FzAq3h | A two member committee comprising of one male and one female member is to be constitute out of five males and three females. Amongst the females. Ms. A refuses to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted ?
Select:
A) 11
B) 12
C) 13
D) 14
E) 15 | Solution: 5C1 * 3C1 -1 = 15-1=
<gadget id="calculator">15-1</gadget>
<output>14</output>
14 Answer: Option 14
<result>D</result> | D | {
"A": "11",
"B": "12",
"C": "13",
"D": "14",
"E": "15"
} | A two member committee comprising of one male and one female member is to be constitute out of five males and three females. Amongst the females. Ms. A refuses to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted ? |
aqua_rat__f2hJKpptkiXJuoyh | A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is? Pick one:
A) 71.17 km/hr B) 71.21 km/hr C) 71.11 km/hr D) 81.11 km/hr E) 77.11 km/hr | Total time taken = (160/64 + 160/8) = 9/2 hrs. Average speed = 320 * 2/9 = 71.11 km/hr. Answer:71.11 km/hr
<result>C</result> | C | {
"A": "71.17 km/hr",
"B": "71.21 km/hr",
"C": "71.11 km/hr",
"D": "81.11 km/hr",
"E": "77.11 km/hr"
} | A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is? |
aqua_rat__tgmWMOO4V5DahbkB | Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article? Choose the most appropriate option:
A) Rs.15000 B) 15002 C) 26879 D) 26992 E) 12681 | Let the CP be Rs. x. Had he offered 10% discount, profit = 8% Profit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x = 18000 - 10/100(18000) = 18000 - 1800 = Rs. 16200 => 1.08x = 16200 => x = 15000 Rs.15000nswer: Rs.15000
<result>A</result> | A | {
"A": "Rs.15000",
"B": "15002",
"C": "26879",
"D": "26992",
"E": "12681"
} | Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article? |
aqua_rat__GhIujHk7S6Ie9Xgn | A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 25 days starting with sunday is Choose the correct choice from the following answers:
A) 342 B) 285 C) 290 D) 295 E) 275 | Explanation: As the month begin with sunday, so there will be five sundays in the month. So result will be: =(510×5+240×25/30)=(8550/25)=
<gadget id="calculator">(8550/25)</gadget>
<output>342</output>
342 342nswer: Option 342
<result>A</result> | A | {
"A": "342",
"B": "285",
"C": "290",
"D": "295",
"E": "275"
} | A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 25 days starting with sunday is |
aqua_rat__xQvKBUBKEYj2RhUG | How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg? Choose the correct choice from the following answers:
A) 36 kg B) 42 kg C) 54 kg D) 63 kg E) 30 kg | Explanation: S.P. of 1 kg of mixture = Rs. 9.24, Gain 10%. C.P. of 1 kg of mixture = Rs.(100/110 x 9.24)= Rs. 8.40 By the rule of allilation, we have: Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3. Let x kg of sugar of 1st be mixed with 27 kg of 2nd kind. Then, 7 : 3 = x : 27 x =(7x 27 / 3)= 63 kg. ANSWER IS 63 kg
<result>D</result> | D | {
"A": "36 kg",
"B": "42 kg",
"C": "54 kg",
"D": "63 kg",
"E": "30 kg"
} | How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg? |
aqua_rat__0FINj4t9M7YW5BB4 | The probabilities of solving a question by 3students A, B & C are 1/2,1/3 &1/4, respectively. The probability that the problem will be solved is? Choose the most appropriate option.
A) 1/2 B) 3/4 C) 3/5 D) 3/7 E) 4/9 | Sol. First, we find the probability of not solving the problem x PTO x = (1 — D x - D x - D 1 2 3 1 =iXiX71=4; 1 3 Required probability 3/4 3/4
<result>B</result> | B | {
"A": "1/2",
"B": "3/4",
"C": "3/5",
"D": "3/7",
"E": "4/9"
} | The probabilities of solving a question by 3students A, B & C are 1/2,1/3 &1/4, respectively. The probability that the problem will be solved is? |
aqua_rat__oCIkGJcTPsppFmHT | What is the average (arithmetic mean) of all the multiples of ten from 10 to 170 inclusive? Choose the correct choice from the following choices.
A) 90 B) 80 C) 100 D) 105 E) 110 | 10 and 190 inclusive would mean there are 17 terms. No need to add up all the terms and further divide by 17 since the terms are evenly spaced in ascending order from 10, 20, 30........170 The middle term is the average which is the tenth term = 80 80 is the answer.
<result>B</result> | B | {
"A": "90",
"B": "80",
"C": "100",
"D": "105",
"E": "110"
} | What is the average (arithmetic mean) of all the multiples of ten from 10 to 170 inclusive? |
aqua_rat__2vDNkElYGfEqS6CO | Pipe A can fill a tank in 9 hours, pipe B in 12 hours, and pipe C in 18 hours. If all the pipes are open, in how many hours will the tank be filled? Answers
A) 2
B) 3
C) 4
D) 5
E) 6 | The part filled by A + B + C in 1 hour = 1/9 + 1/12 + 1/18 = 9/36 = 1/4 All the three pipes together will fill the tank in 4 hours. The answer is 4.
<result>C</result> | C | {
"A": "2",
"B": "3",
"C": "4",
"D": "5",
"E": "6"
} | Pipe A can fill a tank in 9 hours, pipe B in 12 hours, and pipe C in 18 hours. If all the pipes are open, in how many hours will the tank be filled? |
aqua_rat__H9tqZ4zjISggMcQb | A bartender removed from a bottle a certain quantity of a drink which had 25 % ALCOHOL CONTENT and replaced the same quantity with another drink that had an alcohol content of 10%. The alcohol content in the drink after replacement is 20 % What the quantity of the drink that he replaced if there was 1 Litres of the drink in the bottle Choose the correct choice from the following: A) 1/2 B) 1/3 C) 2/3 D) 3/5 E) 5/8 | 1 litre of drink = 1000 milliliters Let x be the quantity taken out We now have 1000 - x quantity of liquid => there is 0.25(1000-x) quantity of alcohol. --- (1) Now, we add x amount of alcohol from a 10% concentrate. It means 0.1x alcohol is added ---(2) Since it says final alcohol content in 1 litre of drink is 20% or 200 milli litre from (1) and (2) above - (1000-x)0.25 + 0.1x = 200 Solving for x, we get 333.33 ml or 1/3 of a litre ANSWER:1/3
<result>B</result> | B | {
"A": "1/2",
"B": "1/3",
"C": "2/3",
"D": "3/5",
"E": "5/8"
} | A bartender removed from a bottle a certain quantity of a drink which had 25 % ALCOHOL CONTENT and replaced the same quantity with another drink that had an alcohol content of 10%. The alcohol content in the drink after replacement is 20 % What the quantity of the drink that he replaced if there was 1 Litres of the drink in the bottle |
aqua_rat__MLPPwBS0v2jf2zbc | There are 200 questions in a 3 hr examination. Among these questions there are 50 mathematics problems. It is suggested that twice as much time be spent on each maths problem as for each other question. How many minutes should be spent on mathematics problems Choose the correct choice from the following options:
A) 36 minutes B) 60 minutes C) 72 minutes D) 100 minutes E) None of these | Explanation : Let x = minutes spent on a non-math problem then 2x = minutes spent on a math problem x(200-50) + 2x(50) = 180 x(150) + 2x(50) = 180 150x + 100x = 180 250x = 180 x = 0.72 minutes Time to spend on math problems: 2x(50)=100x = 100(0.72) = 72 minutes Answer : 72 minutes
<result>C</result> | C | {
"A": "36 minutes",
"B": "60 minutes",
"C": "72 minutes",
"D": "100 minutes",
"E": "None of these"
} | There are 200 questions in a 3 hr examination. Among these questions there are 50 mathematics problems. It is suggested that twice as much time be spent on each maths problem as for each other question. How many minutes should be spent on mathematics problems |
aqua_rat__ChxGrz6VbCo7m7lk | The Income of a man increase consistently by 2% per year. If his present income is Rs. 12000 then what will his income be after 1 year ?
Choose the correct choice from the following options:
A) 12040 B) 12140 C) 12240 D) 12340 E) 12440 | Explanation : Income = 12000 x 1.02 = 12240 Answer : Option 12240
<result>C</result> | C | {
"A": "12040",
"B": "12140",
"C": "12240",
"D": "12340",
"E": "12440"
} | The Income of a man increase consistently by 2% per year. If his present income is Rs. 12000 then what will his income be after 1 year ? |
aqua_rat__mv7yoV2iiQFigGGW | Two men started from the same place walk at the rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction? Choose the correct choice.
A) 10hours B) 12hours C) 17hours D) 15hours E) 20hours | To be 0.5km apart they take 1 hour To be 8.5km apart they take = 1/0.5 * 8.5=
<gadget id="calculator">1/0.5 * 8.5</gadget>
<output>17</output>
17 hours Answer is 17hours
<result>C</result> | C | {
"A": "10hours",
"B": "12hours",
"C": "17hours",
"D": "15hours",
"E": "20hours"
} | Two men started from the same place walk at the rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction? |
aqua_rat__pMYrgr6qXVtYTrXV | What distance (in meters) will be covered by a bus moving at 54 km/hr in 30 seconds? Answers
A) 390 B) 420 C) 450 D) 480 E) 510 | 54 km/hr = 54 * 5/18=
<gadget id="calculator">54 * 5/18</gadget>
<output>15</output>
15 m/s distance= 15 * 30=
<gadget id="calculator">15 * 30</gadget>
<output>450</output>
450 meters The answer is 450.
<result>C</result> | C | {
"A": "390",
"B": "420",
"C": "450",
"D": "480",
"E": "510"
} | What distance (in meters) will be covered by a bus moving at 54 km/hr in 30 seconds? |
aqua_rat__kBSgOEgGeiWQH7th | A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1800. The difference between the profit shares of A and C is?
Choose the correct choice from the following answers:
A) 720
B) 266
C) 155
D) 600
E) 441 | Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6 And also given that, profit share of B is Rs. 1800 => 5 parts out of 15 parts is Rs. 1800 Now, required difference is 6 - 4=
<gadget id="calculator">6 - 4</gadget>
<output>2</output>
2 parts Required difference= 2/5 (1800) = Rs. 720 720nswer:720
<result>A</result> | A | {
"A": "720",
"B": "266",
"C": "155",
"D": "600",
"E": "441"
} | A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1800. The difference between the profit shares of A and C is? |
aqua_rat__2N7IlB0ADQHqdySr | A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 10 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate? Choose one.
A) 3/8
B) 9/10
C) 1/2
D) 3/5
E) 3/4 | x * 6/100 * 1 + (20000 - x) * 10/100 * 1 = 1440 6x - 8x = 144000 - 200000 => -2x = -4000 => x = 2000 So 18000/20000 = 9/10 Answer - 9/10
<result>B</result> | B | {
"A": "3/8",
"B": "9/10",
"C": "1/2",
"D": "3/5",
"E": "3/4"
} | A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 10 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate? |
aqua_rat__GJZfm8CPqt4fy0ad | The sale price sarees listed for Rs.400 after successive discount is 25% and 20% is?
Pick:
A) 297 B) 879 C) 342 D) 240 E) 269 | 400*(75/100)*(80/100)=
<gadget id="calculator">400*(75/100)*(80/100)</gadget>
<output>240</output>
240 Answer: 240
<result>D</result> | D | {
"A": "297",
"B": "879",
"C": "342",
"D": "240",
"E": "269"
} | The sale price sarees listed for Rs.400 after successive discount is 25% and 20% is? |
aqua_rat__fCK4rfRXYa1rFUhb | A bus travels from town A to town B. If the bus's speed is 50 km/hr, it will arrive in town B 42 min later than scheduled. If the bus increases its speed by 509509 m/sec, it will arrive in town B 30 min earlier than scheduled. Find:
A) The distance between the two towns;
B) The bus's scheduled time of arrival in B;
C) The speed of the bus when it's on schedule.
Choose the correct choice from the following answers
A) 60 B) 37 C) 26 D) 28 E) 11 | First we will determine the speed of the bus following its increase. The speed is increased by 509509 m/sec =50⋅60⋅6091000=50⋅60⋅6091000 km/hr =20=20 km/hr. Therefore, the new speed is V=50+20=
<gadget id="calculator">50+20</gadget>
<output>70</output>
70V=50+20=
<gadget id="calculator">50+20</gadget>
<output>70</output>
70 km/hr. If xx is the number of hours according to the schedule, then at the speed of 50 km/hr the bus travels from A to B within (x+4260)(x+4260) hr. When the speed of the bus is V=70V=70 km/hr, the travel time is x−3060x−3060 hr. Then 50(x+4260)=70(x−3060)50(x+4260)=70(x−3060) 5(x+710)=7(x−12)5(x+710)=7(x−12) 72+72=7x−5x72+72=7x−5x 2x=72x=7 x=72x=72 hr. So, the bus is scheduled to make the trip in 33 hr 3030 min. The distance between the two towns is 70(72−12)=70⋅3=21070(72−12)=70⋅3=210 km and the scheduled speed is 210/7/2=60 km/hr. 60nswer:60
<result>A</result> | A | {
"A": "60",
"B": "37",
"C": "26",
"D": "28",
"E": "11"
} | A bus travels from town A to town B. If the bus's speed is 50 km/hr, it will arrive in town B 42 min later than scheduled. If the bus increases its speed by 509509 m/sec, it will arrive in town B 30 min earlier than scheduled. Find:
A) The distance between the two towns;
B) The bus's scheduled time of arrival in B;
C) The speed of the bus when it's on schedule. |
aqua_rat__on7sXi9JnCZPW8Es | If x = |x| , then which one of the following statements could be true?
I. x = 0
II. x < 0
III. x > 0 Answers.
A) None B) I only C) III only D) I and II and III E) II and III | Answer copied from NOVA guide Statement I could be true because ± 0 = −(+0) = −(0) = 0 . Statement II could be true because the right side of the equation is always negative [ ± x = (a positive number) = a negative number]. Now, if one side of an equation is always negative, then the other side must always be negative, otherwise the opposite sides of the equation would not be equal. Since Statement III is the opposite of Statement II, it must be false. But let’s show this explicitly: Suppose x were positive. Then x = x, and the equation x = ± x becomes x = x. Dividing both sides of this equation by x yields 1 = 1. This is contradiction. Hence, x cannot be positive. The answer is (I and II and III).
<result>D</result> | D | {
"A": "None",
"B": "I only",
"C": "III only",
"D": "I and II and III",
"E": "II and III"
} | If x = |x| , then which one of the following statements could be true?
I. x = 0
II. x < 0
III. x > 0 |
aqua_rat__bAkp5D6gpQa1MJz2 | Maddie has 24 apples, if she give 12 to mike, how many does she have left? Options:
A) 12 B) 14 C) 16 D) 18 E) 5 | 24-12=
<gadget id="calculator">24-12</gadget>
<output>12</output>
12 12 12
<result>A</result> | A | {
"A": "12",
"B": "14",
"C": "16",
"D": "18",
"E": "5"
} | Maddie has 24 apples, if she give 12 to mike, how many does she have left? |
aqua_rat__2QoS2ctNd4cgId2X | A stick of 30 cm is broken into two pieces, what is the length of the shorter piece if the longer piece is 6 cm longer than the other? Choose the correct answer
A) 11
B) 10
C) 12
D) 13
E) 7 | Since, 30 is the total length. Smaller is any one from answers. Try Back solving from answer D, i.e. 12. 12+(12+6) = 31 > 30 Hence, Select next smaller no. : 12 +(12+6)=
<gadget id="calculator">12 +(12+6)</gadget>
<output>30</output>
30. So, 12 is the answer Answer is 12
<result>C</result> | C | {
"A": "11",
"B": "10",
"C": "12",
"D": "13",
"E": "7"
} | A stick of 30 cm is broken into two pieces, what is the length of the shorter piece if the longer piece is 6 cm longer than the other? |
aqua_rat__MTlKVu4X2rPsV1c3 | A shopkeeper sold an article for Rs 2552.36. Approximately what was his profit percent if the cost price of the article was Rs 2400 Pick one: A) 4% B) 5% C) 6% D) 7% E) 8% | Explanation: Gain % = (152.36*100/2400) = 6.34 % = 6% approx Option 6%
<result>C</result> | C | {
"A": "4%",
"B": "5%",
"C": "6%",
"D": "7%",
"E": "8%"
} | A shopkeeper sold an article for Rs 2552.36. Approximately what was his profit percent if the cost price of the article was Rs 2400 |
aqua_rat__NzHLtmP6XxDVR82k | A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? Choose one: A) 5 B) 6 C) 7 D) 9 E) 2 | Speed of train relative to man = 60 + 6=
<gadget id="calculator">60 + 6</gadget>
<output>66</output>
66 km/hr.= 66 * 5/18 = 55/3 m/sec. Time taken to pass the men = 110 * 3/55=
<gadget id="calculator">110 * 3/55</gadget>
<output>6</output>
6 sec. Answer: 6
<result>B</result> | B | {
"A": "5",
"B": "6",
"C": "7",
"D": "9",
"E": "2"
} | A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? |
aqua_rat__pTFdywsTCiA5K7bP | Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Nell bake? Choose the correct choice.
A) 0.125% B) 1.25% C) 12.5% D) 125% E) 0.152% | 9.18x+5.17x+2.05x = 16.4x 9.18 +5.17 +2.05=
<gadget id="calculator">9.18 +5.17 +2.05</gadget>
<output>16.4</output>
16.4x= 148 cookies x= 148/16.4 = 9 (approx) So, tell baked 9*2.05 cookies or 19 cookies (approx) % share = 19/148 = 12.5 approx Hence, answer is 12.5%.
<result>C</result> | C | {
"A": "0.125%",
"B": "1.25%",
"C": "12.5%",
"D": "125%",
"E": "0.152%"
} | Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Nell bake? |
aqua_rat__c4mC1Mt5voR8hgKh | On adding four times the age of Chris Hemsworth four years from now to five times his age five years from now, we will get ten times his current age.
How old is Chris right now? Choose the correct choice from the following choices
A) 38 years B) 24 years C) 40 years D) 41 years E) 29 years | D 41 years. If the current age of 41 yearsakota is x 4(x+4) + 4(x+5) = 10x Thus x=41 years
<result>D</result> | D | {
"A": "38 years",
"B": "24 years",
"C": "40 years",
"D": "41 years",
"E": "29 years"
} | On adding four times the age of Chris Hemsworth four years from now to five times his age five years from now, we will get ten times his current age.
How old is Chris right now? |
aqua_rat__eByaq5VZ4dpBZB7w | If a, b, c are integers; a² + b² = 45 and b² + c² = 40, then the values of a, b and c respectively are : Choices: A) 2, 6, 3 B) 3, 2, 6 C) 5, 4, 3 D) 4,5,3 E) None of these | a² + b² = 45 ….(1) and b² + c² = 40 Subtracting, we get: a² - c² = 5 => (a + c) (a – c) = 5. (a + c) = 5 and (a – c) = 1. Solving we get: a = 3, c = 2. Putting c = 2 in (ii), we get b = 6. ANSWER:3, 2, 6
<result>B</result> | B | {
"A": "2, 6, 3",
"B": "3, 2, 6",
"C": "5, 4, 3",
"D": "4,5,3",
"E": "None of these"
} | If a, b, c are integers; a² + b² = 45 and b² + c² = 40, then the values of a, b and c respectively are : |
aqua_rat__tLv1swUfzQAon4yW | in a powder mix two varieties of powders costing Rs. 15 and Rs. 20 per kg respectively so as toget a mixture worth Rs. 16.50 kg?
Choose the correct option:
A) 1:3 B) 2:5 C) 7 : 3 D) 7:5 E) 5:8 | By the rule of alligation: Cost of 1 kg pulses of 1st kindCost of 1 kg pulses of 2nd kind Rs. 15 Mean Price Rs. 16.50 Rs. 20 3.50 1.50 Required rate = 3.50 : 1.50 = 7 : 3 7 : 3
<result>C</result> | C | {
"A": "1:3",
"B": "2:5",
"C": "7 : 3",
"D": "7:5",
"E": "5:8"
} | in a powder mix two varieties of powders costing Rs. 15 and Rs. 20 per kg respectively so as toget a mixture worth Rs. 16.50 kg? |
aqua_rat__OPKArLnfANEQrj6s | A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:
Choose the correct answer
A) 1/3
B) 2/3
C) 2/5
D) 3/5
E) 4/5 | Explanation: By the rule of alligation, we have: So, ratio of 1st and 2nd quantities = 7 : 14 = 1 : 2 Required quantity replaced =2/3. ANSWER IS 2/3
<result>B</result> | B | {
"A": "1/3",
"B": "2/3",
"C": "2/5",
"D": "3/5",
"E": "4/5"
} | A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is: |
aqua_rat__e6tLSVPbHWUt0xvF | Find the odd man out. 1050, 510, 242, 108, 46, 16, 3 Answers: A) 46 B) 106 C) 510 D) 108 E) None of these | Explanation : 1050 (1050 - 30)/2=
<gadget id="calculator">(1050 - 30)/2</gadget>
<output>510</output>
510 (510 - 26)/2=
<gadget id="calculator">(510 - 26)/2</gadget>
<output>242</output>
242 (242 - 22)/2=
<gadget id="calculator">(242 - 22)/2</gadget>
<output>110</output>
110 (110 - 18)/2=
<gadget id="calculator">(110 - 18)/2</gadget>
<output>46</output>
46 (46- 14)/2=
<gadget id="calculator">(46- 14)/2</gadget>
<output>16</output>
16 (16- 10)/2=
<gadget id="calculator">(16- 10)/2</gadget>
<output>3</output>
3 Hence, 110 should have come in place of 108. Answer : Option 108
<result>D</result> | D | {
"A": "46",
"B": "106",
"C": "510",
"D": "108",
"E": "None of these"
} | Find the odd man out. 1050, 510, 242, 108, 46, 16, 3 |
aqua_rat__ci3cSNfypYPsxk8Q | Mangala completes a piece of work in 20 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is Pick one.
A) 4 days B) 6 days C) 13.33 days D) 10 days E) 11 days | If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days. That is, the required No. of days = 20 × 40/60 = 13.33 days. Answer : 13.33 days
<result>C</result> | C | {
"A": "4 days",
"B": "6 days",
"C": "13.33 days",
"D": "10 days",
"E": "11 days"
} | Mangala completes a piece of work in 20 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is |
aqua_rat__s4MRtAfZk3mktTgQ | From the set of numbers {p, t, u, v, w, x, y, z}, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x), etc... and note that (x,y)=(y,x) Choose the correct choice from the following answers:
A) 32 B) 63 C) 64 D) 127 E) 128 | Any letter (p, u, v, w, x, y, z) can be included or not. Thus there are 2^7 combinations - 1 empty combination = 127 combinations The answer is 127.
<result>D</result> | D | {
"A": "32",
"B": "63",
"C": "64",
"D": "127",
"E": "128"
} | From the set of numbers {p, t, u, v, w, x, y, z}, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x), etc... and note that (x,y)=(y,x) |
aqua_rat__TAx8XXiXMxN7B0Ys | How much 60% of 50 is greater than 40% of 30?
Pick one: A) 18 B) 99 C) 77 D) 66 E) 12 | (60/100) * 50 – (40/100) * 30 30 - 12=
<gadget id="calculator">30 - 12</gadget>
<output>18</output>
18ch 60% of 50 is greater than 40% of 30? 18nswer:18
<result>A</result> | A | {
"A": "18",
"B": "99",
"C": "77",
"D": "66",
"E": "12"
} | How much 60% of 50 is greater than 40% of 30? |
aqua_rat__Zg1Zu3geOdQDPrAH | In a Private Company 20 Nos. staffs are employed. In a Festival season their Boss give festival allowance to all. He says his accountant to calculate for 30 days @ 100. Also he says balance payment will give to driver and cleaning staff and to be adjust from petty cash. He had given Rs.65000/- to the accountant. How much amount will taken from Petty cash? Choose the correct option:
A) A)1000 B) B)3000 C) C)3500 D) D)2500 E) E)2250 | For 20 staffs: 300*100*20 = 60000 for driver and cleaning staff: 300*100*2 =6000 From petty Cash : 1000 1000nswer is 1000 1000nswer is 1000
<result>A</result> | A | {
"A": "A)1000",
"B": "B)3000",
"C": "C)3500",
"D": "D)2500",
"E": "E)2250"
} | In a Private Company 20 Nos. staffs are employed. In a Festival season their Boss give festival allowance to all. He says his accountant to calculate for 30 days @ 100. Also he says balance payment will give to driver and cleaning staff and to be adjust from petty cash. He had given Rs.65000/- to the accountant. How much amount will taken from Petty cash? |
aqua_rat__mCP0fORDpT0JJbOr | How many triangles can be formed by joining vertices of a hexagon? Choose one:
A) 20 B) 30 C) 40 D) 60 E) 10 | One triangle is formed by selecting group of three vertices from 6 vertices of a hexagon.This can be done in 6C3 ways. ie) 6!/3!x3!=20 ways. 20ns : 20
<result>A</result> | A | {
"A": "20",
"B": "30",
"C": "40",
"D": "60",
"E": "10"
} | How many triangles can be formed by joining vertices of a hexagon? |
aqua_rat__gXdxGteGOh0dxbOT | A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 104. What was the number he chose?
Pick: A) 123 B) 121 C) 277 D) 267 E) 120 | Let xx be the number he chose, then 2⋅x−138=104 2⋅x−138=104 x=121 Answer:121
<result>B</result> | B | {
"A": "123",
"B": "121",
"C": "277",
"D": "267",
"E": "120"
} | A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 104. What was the number he chose? |
aqua_rat__L87Z9u1P7ITt8fC3 | What is the next number of the following sequence
8, 24, 12, 36, 18, 54 (...)
Answers
A) 30 B) 32 C) 34 D) 36 E) 38 | The series is 4*4=
<gadget id="calculator">4*4</gadget>
<output>16</output>
16 16/2=
<gadget id="calculator">16/2</gadget>
<output>8</output>
8 8*4=
<gadget id="calculator">8*4</gadget>
<output>32</output>
32 32/2=
<gadget id="calculator">32/2</gadget>
<output>16</output>
16 16*4=
<gadget id="calculator">16*4</gadget>
<output>64</output>
64 64/2=
<gadget id="calculator">64/2</gadget>
<output>32</output>
32 ANSWER: 32
<result>B</result> | B | {
"A": "30",
"B": "32",
"C": "34",
"D": "36",
"E": "38"
} | What is the next number of the following sequence
8, 24, 12, 36, 18, 54 (...) |
aqua_rat__rAxN1udiJNIoh6LJ | What is the total number of W integers between 100 and 200 that are divisible by 3?
Choose the correct option: A) 33 B) 32 C) 31 D) 30 E) 29 | yes there is a different way of arriving at that answer .... u can also use arithmetic progression to get the answer since the first term to be divisble by 3 is 102 ..take that as A .. the starting no and since 198 is the last digit to be divisible by 3 take that as N ... since the difference is 3 take that as D no u have to find what term is 198 take that as nth term the formula for that is N = 33 + (n-1) * d 198 = 102 +(n-1) * 3 from this u get n =33
<result>A</result> | A | {
"A": "33",
"B": "32",
"C": "31",
"D": "30",
"E": "29"
} | What is the total number of W integers between 100 and 200 that are divisible by 3? |
aqua_rat__BywSTm7KLL7e6fXB | An old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 81 times the difference between the two numbers. How many coins did the old man have? Choose the correct choice from the following: A) 24 B) 26 C) 30 D) 81 E) 40 | Let the number of coins one son got be x and the number of coins another got be y. Total = x + y. x^2 - y^2 = 81(x - y) --> x + y = 81. Answer: 81.
<result>D</result> | D | {
"A": "24",
"B": "26",
"C": "30",
"D": "81",
"E": "40"
} | An old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 81 times the difference between the two numbers. How many coins did the old man have? |
aqua_rat__cNsTSHViYop6jd8L | Which of the following is equal to the cube of a non-integer? Choose the correct choice from the following answers: A) -64 B) -1 C) 8 D) 9 E) 27 | A. -64 -> cube of -4 B. -1 -> cube of -1 C. 8 -> cube of 2 D. 9 E. 27 -> cube of 3 All other options are cubes of integers except 9. 9 will be the cube of a number slightly greater than 2 since the cube of 2 is 8. Answer (9)
<result>D</result> | D | {
"A": "-64",
"B": "-1",
"C": "8",
"D": "9",
"E": "27"
} | Which of the following is equal to the cube of a non-integer? |
aqua_rat__17P8FrAOI3aqG6IW | The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes? Options: A) 15 B) 66 C) 77 D) 52 E) 42 | 90 * 10/60=
<gadget id="calculator">90 * 10/60</gadget>
<output>15</output>
15 kmph 15nswer:15
<result>A</result> | A | {
"A": "15",
"B": "66",
"C": "77",
"D": "52",
"E": "42"
} | The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes? |
aqua_rat__kvqBvOdTLfeU7ACy | The fourth proportional to 5, 8, 15 is: Pick:
A) 15 B) 5 C) 24 D) 8 E) 28 | Let the fourth proportional to 5, 8, 15 be x. Then, 5 : 8 : 15 : x = 5x = (8 x 15) x = (8 x 15)/5= 24. Answer is 24.
<result>C</result> | C | {
"A": "15",
"B": "5",
"C": "24",
"D": "8",
"E": "28"
} | The fourth proportional to 5, 8, 15 is: |
aqua_rat__N8KEIoqWeQJ8tLxp | If the tens digit of positive integer x is 4 and the tens digit of positive integer y is 4, how many possible values of the tens digit of 2(x+y) can there be? Choose the most appropriate option.
A) 2 B) 3 C) 4 D) 5 E) 6 | We only need to consider the tens and ones digits of x and y, and the last two digits can be represented as 40 + p and 40 + q respectively. 2(40+p+40+q)= 160 + 2(p + q) 2(p+q) can range from 0 up to a maximum value of 36 when p=q=9. Then the tens and ones digits of 2(x+y) can range from 60 up to 96. There can be 4 possibilities for the tens digit. The answer is 4.
<result>C</result> | C | {
"A": "2",
"B": "3",
"C": "4",
"D": "5",
"E": "6"
} | If the tens digit of positive integer x is 4 and the tens digit of positive integer y is 4, how many possible values of the tens digit of 2(x+y) can there be? |
aqua_rat__hRkUJUfGmO2p54nq | Sophia finished 23 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book? Pick: A) 180 B) 200 C) 250 D) 270 E) 300 | Let x be the total number of pages in the book, then she finished 23⋅x pages. Then she has x−23⋅x=13⋅x pages left. 23⋅x−13⋅x=90 13⋅x=90 x=270. So answer is 270.
<result>D</result> | D | {
"A": "180",
"B": "200",
"C": "250",
"D": "270",
"E": "300"
} | Sophia finished 23 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book? |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.