niryuu/sni-each-converted huggingface dataset:
Question: A train passes a station platform in 37 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

 Option A: 328

 Option B: 255

 Option C: 240

 Option D: 288

 Option E: 231
Output: Option B
Question: A walks at 4 kmph and 4 hours after his start, B cycles after him at 10 kmph. How far from the start does B catch up with A?

 Option A: 25km

 Option B: 26.7km

 Option C: 30km

 Option D: 32.5km

 Option E: 31.2km
Output: Option B
Question: The sum of two numbers is 56, and one of them is 12 more than the other. What are the two numbers?

 Option A: 36-48

 Option B: 22-34

 Option C: 60-24

 Option D: 42-42

 Option E: 21-63
Output: Option B
Question: A seller of used cars has 18 cars to sell and each of his clients selected 3 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?

 Option A: 8

 Option B: 10

 Option C: 12

 Option D: 18

 Option E: 16
Output: Option D
Question: The ratio, by volume, of soap to alcohol to water in a certain solution is 6:30:90. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 150 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?

 Option A: 1200

 Option B: 1300

 Option C: 1500

 Option D: 1800

 Option E: 1900
Output: Option D
Question: If x < y < 0, which of the following must be true?

 Option A: 2xy/3x is a negative integer

 Option B: x-y is a positive integer

 Option C: (-x

 Option D: x/y is a negative integer

 Option E: 2x+y is a negative integer
Output: Option C
Question: If W is an integer greater than 6, which of the following must be divisible by 3?

 Option A: W(W+1

 Option B: N(N+2

 Option C: N(N+3

 Option D: N(N+4

 Option E: N(N+5
Output: Option A
Question: A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium.If the company declares 8% dividend at the end of the year,then how much does he get ?

 Option A: Rs. 500

 Option B: Rs. 600

 Option C: Rs. 960

 Option D: Rs. 720

 Option E: None
Output: Option C
Question: A boat goes 6 km up stream and 7 km down stream in 5 hours. It goes 3 km up stream and 6 km down stream in 3 hours. The speed of the boat in still water is:

 Option A: 2 km/hr

 Option B: 5.4 km/hr

 Option C: 4.8 km/hr

 Option D: 3.33 km/hr

 Option E: None of these
Output: Option D
Question: CP of 2 buffaloes are $30,000. By selling 1 at a loss of 15% and other at a profit of 19%, he foundthat SP of both buffaloes is the same. Find the CP of each?

 Option A: $10,500

 Option B: $10,500

 Option C: $11,500

 Option D: $12,000

 Option E: $12,500
Output: Option E
Question: What is the smallest positive integer K such that the product of 3675 x K is a perfect square?

 Option A: 3

 Option B: 9

 Option C: 15

 Option D: 25

 Option E: 63
Output: Option A
Question: A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangularboxes of dimensions 4 cm x 7 cm x 6 cm. The maximum number ofboxes that can be carried in the wooden box, is

 Option A: 9800000

 Option B: 1000000

 Option C: 7500000

 Option D: 2000000

 Option E: None of these
Output: Option D
Question: A number Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that |Y|<3?

 Option A: 1/7

 Option B: 3/7

 Option C: 2/5

 Option D: 3/11

 Option E: 4/7
Output: Option B
Question: During a certain week, a seal ate 60% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?

 Option A: 32

 Option B: 40

 Option C: 96

 Option D: 64

 Option E: 80
Output: Option C
Question: If f(y)=y^2 and y is a positive integer, which of the following CANNOT be the value of f(f(y))?

 Option A: 1

 Option B: 144

 Option C: 81

 Option D: 16

 Option E: 256
Output: Option B
Question: Seven years back, a father was 48 years older than his son. At present the father is 4 times as old as the son. How old will the son be three years from now?

 Option A: 16 years

 Option B: 17 years

 Option C: 18 years

 Option D: 19 years

 Option E: 20 years
Output: Option D
Question: Cost of an item is Rs 12.60 & profit is 10% over selling price what is the selling price

 Option A: 12.86

 Option B: 13.86

 Option C: 14.86

 Option D: 15.86

 Option E: 16.86
Output: Option B
Question: The third proportional to 1 and 2 is?

 Option A: 8

 Option B: 7

 Option C: 4

 Option D: 5

 Option E: 3
Output: Option C
Question: A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have ?

 Option A: 1000

 Option B: 1074

 Option C: 1075

 Option D: 1080

 Option E: 1089
Output: Option B
Question: Sarah makes handmade jewelry. This month she has created 253 necklaces. If she distributes her jewelry evenly to the 6 jewelry stores in town, how many necklaces remain with her?

 Option A: 0 necklaces

 Option B: 1 necklace

 Option C: 2 necklaces

 Option D: 3 necklaces

 Option E: 4 necklaces
Output: Option B
Question: Gold is 10 times as heavy as water and copper is 5 times as heavy as water. In what ratio should these be mixed to get an alloy 6 times as heavy as water?

 Option A: 3:2

 Option B: 1:4

 Option C: 3:1

 Option D: 5:2

 Option E: 4:3
Output: Option B
Question: A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after 1year service. He served only for 9 months and receiveduniform and Rs.650, find the price of the uniform?

 Option A: Rs.90

 Option B: Rs.100

 Option C: Rs.130

 Option D: Rs.170

 Option E: Rs.190
Output: Option B
Question: An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.90 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold?

 Option A: 130,000

 Option B: 300,000

 Option C: 380,000

 Option D: 400,000

 Option E: 420,000
Output: Option B
Question: The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?

 Option A: 3600

 Option B: 4000

 Option C: 4500

 Option D: 3500

 Option E: 2500
Output: Option A
Question: What number times (1⁄5)^2 will give the value of 5^3?

 Option A: 5

 Option B: 25

 Option C: 125

 Option D: 625

 Option E: 3125
Output: Option E
Question: Which one of the following is not a prime number?

 Option A: 31

 Option B: 61

 Option C: 71

 Option D: 91

 Option E: 101
Output: Option D
Question: It costs $18 for the first 1/2 hour to rent a bike. After the first 1/2 hour it costs $10 per hour. If a certain customer uses the bike for 2 hours, how much will it cost him?

 Option A: $12

 Option B: $45

 Option C: $33

 Option D: $95

 Option E: $30
Output: Option C
Question: In a group of 5 boys and 5 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included?

 Option A: 175

 Option B: 190

 Option C: 205

 Option D: 220

 Option E: 235
Output: Option C
Question: If y exceeds x by 10%, then x is less than y by?

 Option A: 16 2/9%

 Option B: 16 3/3%

 Option C: 16 2/3%

 Option D: 12 2/3%

 Option E: 9 1/11%
Output: Option E
Question: What is the remainder when 2990990900032 is divided by 32 ?

 Option A: 16

 Option B: 8

 Option C: 4

 Option D: 0

 Option E: 2
Output: Option D
Question: Elizabeth can get a certain job done in 15 days, and Tony can finish only 75% of that job within the same time. Tony worked alone for several days and then Elizabeth joined him, so they finished the rest of the job in 6 days, working together.
For how many days have each of them worked and what percentage of the job have each of them completed?

 Option A: 5 days and 40%

 Option B: 6 days and 30%

 Option C: 6 days and 40%

 Option D: 7 days and 40%

 Option E: 7 days and 30%
Output: Option C
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 5 cm and 4 cm?

 Option A: 189 cm2

 Option B: 150 cm2

 Option C: 127 cm2

 Option D: 177 cm2

 Option E: 90 cm2
Output: Option E
Question: If the complement of a certain angle is five times the measure of that certain angle, then what is the measure of that certain angle?

 Option A: 45°

 Option B: 30°

 Option C: 22.5°

 Option D: 18°

 Option E: 15°
Output: Option E
Question: In a bag containing 5balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the color of the balls that initiallyin the bag wereequally possible ?

 Option A: 2/3

 Option B: 5/8

 Option C: 5/4

 Option D: 5/6

 Option E: 6/7
Output: Option B
Question: In his pocket, a boy has 3 red marbles, 5 blue marbles, and 5 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?

 Option A: 9

 Option B: 10

 Option C: 11

 Option D: 12

 Option E: 13
Output: Option C
Question: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 60,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?

 Option A: $ 280,000

 Option B: $ 320,000

 Option C: $ 360,000

 Option D: $ 480,000

 Option E: $ 540,000
Output: Option D
Question: The edge of a cube is 2a cm. Find its surface?

 Option A: 23a2 cm2

 Option B: 84a2 cm2

 Option C: 64a2 cm2

 Option D: 24a2 cm2

 Option E: 14a2 cm2
Output: Option D
Question: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 30 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?

 Option A: 81.25

 Option B: 82.5

 Option C: 83.75

 Option D: 85.0

 Option E: 87.5
Output: Option E
Question: In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−6, −5)?

 Option A: 4

 Option B: 2

 Option C: 0

 Option D: −2

 Option E: −4
Output: Option A
Question: Gill drives 120 miles from Los Angeles to San Diego to fetch a package. On her way there she drives at 40 miles per hour. On her way back she drives 50% faster. What is Gill's average velocity Q for the round trip?

 Option A: 24 miles per hour

 Option B: 48 miles per hour

 Option C: 50 miles per hour

 Option D: 53 1/3 miles per hour

 Option E: 68 miles per hour
Output: Option B
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?

 Option A: 12.8

 Option B: 12.1

 Option C: 12.7

 Option D: 12.6

 Option E: 12.2
Output: Option B
Question: 10 3/4 + 7 2/17 - 9 1/15=?

 Option A: 7 719/1020

 Option B: 9 817/1020

 Option C: 9 719/1020

 Option D: 8 817/1020

 Option E: None of them
Output: Option D
Question: The area of a rectangular plot is 18 times its breadth. If the difference between the length and the breadth is 10 metres, what is its breadth?

 Option A: 10 metres

 Option B: 8 metres

 Option C: 7.5 metres

 Option D: Data inadequate

 Option E: None of these
Output: Option B
Question: Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required?

 Option A: 18

 Option B: 20

 Option C: 24

 Option D: 36

 Option E: 42
Output: Option A
Question: Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

 Option A: 5 : 1

 Option B: 10 : 5

 Option C: 15 : 2

 Option D: 20 : 2

 Option E: 25 : 2
Output: Option E
Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

 Option A: 2 : 3

 Option B: 3 : 2

 Option C: 3 : 4

 Option D: 4 : 3

 Option E: 1 : 2
Output: Option C
Question: P is three times as old as Q. In 7 years, P will be twice as old as Q. How old was P three years ago?

 Option A: 15

 Option B: 18

 Option C: 21

 Option D: 24

 Option E: 27
Output: Option B
Question: The sum of the even numbers between 1 and n is 105*106, where n is an odd number, then n=?

 Option A: 187

 Option B: 193

 Option C: 199

 Option D: 205

 Option E: 211
Output: Option E
Question: Find the L.C.M of 12, 25, 24 and 20.

 Option A: 240

 Option B: 600

 Option C: 320

 Option D: 150

 Option E: 250
Output: Option B
Question: A student travels from his house to school at 12 km/hr and reaches school 2 hours late. The next day he travels 20 km/hr and reaches school 1 hour early. What is the distance between his house and the school?

 Option A: 90

 Option B: 100

 Option C: 110

 Option D: 120

 Option E: 130
Output: Option A
Question: On a certain date, Pat invested $7,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 10 years will be $28,000, in how many years total will the total value of the investment plus interest increase to $56,000?

 Option A: 15

 Option B: 16

 Option C: 18

 Option D: 20

 Option E: 24
Output: Option A
Question: How many three digit numbers Z greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?

 Option A: 72

 Option B: 48

 Option C: 120

 Option D: 96

 Option E: 76
Output: Option A
Question: A student has 7 trousers and 11 shirts. In how many different ways can the student select a trouser and a shirt?

 Option A: 68

 Option B: 77

 Option C: 86

 Option D: 95

 Option E: 104
Output: Option B
Question: Operation#is defined as adding a randomly selected two digit multiple of 12 to a randomly selected two digit prime number and reducing the result by half. If operation#is repeated 10 times, what is the probability that it will yield at least two integers?

 Option A: 0%

 Option B: 10%

 Option C: 20%

 Option D: 30%

 Option E: 40%
Output: Option A
Question: If X, Y and Z are digits and 7XYZ is a 4-digit number that is divisible by 2, which of the following is a possible product of X, Y and Z?

 Option A: 17

 Option B: 42

 Option C: 13

 Option D: 27

 Option E: 51
Output: Option B
Question: What is the Area? If The volume of a Square is 22cm.

 Option A: 1

 Option B: Not sufficient data

 Option C: 5

 Option D: 11

 Option E: 7
Output: Option B
Question: 2 men and 3 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other)

 Option A: 12

 Option B: 15

 Option C: 18

 Option D: 21

 Option E: 24
Output: Option A
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

 Option A: 19

 Option B: 17

 Option C: 10

 Option D: 18

 Option E: 16
Output: Option C
Question: A person distributed 15% of his income to his 3 children each. He deposited 30% of his income to his wife's account. He donated 10% of remaining amount to an orphan house.Finally he has $40000. Find his total income?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E
Output: Option A
Question: Johny went up a certain hill at the rate of one and a half kilometers per hour and came down at the rate of four and a half kilometers per hour, so that it took just four hours to make the double journey. How far was it to the top of the hill ?

 Option A: 3 km

 Option B: 6 km

 Option C: 4.5 km

 Option D: km

 Option E: none of the above
Output: Option C
Question: A certain industrial loom weaves 0.13 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 15 meters of cloth?

 Option A: 114

 Option B: 115

 Option C: 116

 Option D: 117

 Option E: 118
Output: Option B
Question: I have 243 pieces of candy to hand out to my class of 27 students. I would like to give each student the same amount of candy, how much should I give to each student?

 Option A: 12

 Option B: 7

 Option C: 9

 Option D: 15

 Option E: 6
Output: Option C
Question: The total of the ages of Mahesh, Suresh, Ramesh is 138 years. Ten years ago, the ratio of their ages was 2:3:4. What is the present age of Mahesh?

 Option A: 32years

 Option B: 58years

 Option C: 42years

 Option D: 35years

 Option E: 30years
Output: Option B
Question: Company P had 15 percent more employees in December than it had in January. If Company P had 500 employees in December, how many employees did it have in January?

 Option A:  391

 Option B:  435

 Option C:  410

 Option D:  423

 Option E:  445
Output: Option B
Question: 1.14 expressed as a per cent of 1.9 is:

 Option A: 6%

 Option B: 10%

 Option C: 60%

 Option D: 90%

 Option E: None
Output: Option C
Question: In a recent election, James received 15 percent of the 10000 votes cast. To win the election, a candidate needed to receive more than 51 percent of the vote. How many additional votes would James have needed to win the election?

 Option A: 1004

 Option B: 1000

 Option C: 3600

 Option D: 1201

 Option E: 3601
Output: Option E
Question: The least common multiple of positive integer e and 3-digit integer n is 690. If n is not divisible by 3 and e is not divisible by 2, what is the value of n?

 Option A: 115

 Option B: 230

 Option C: 460

 Option D: 575

 Option E: 690
Output: Option B
Question: If a and b are different positive integers and a + b+1 = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b

 Option A: I only

 Option B: II only

 Option C: III only

 Option D: I and II

 Option E: I and III
Output: Option D
Question: A sells a bicycle to B and makes a profit of 50%. B sells the same bicycle to C at a profit of 25%. If the final S.P. of the bicycle was Rs. 225, find out the cost price of the bicycle for A.

 Option A: 237

 Option B: 126

 Option C: 971

 Option D: 611

 Option E: 120
Output: Option E
Question: What is the units digit of the expression 14^7−17^4?

 Option A:  0

 Option B:  3

 Option C:  4

 Option D:  8

 Option E:  6
Output: Option D
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 272 runs?

 Option A: 6.25

 Option B: 6.22

 Option C: 6.29

 Option D: 6.39

 Option E: 6
Output: Option E
Question: Which digits should come in place of @ and # if the number 62684@# is divisible by both 8 and 5?

 Option A: 4,0

 Option B: 0,4

 Option C: 4,4

 Option D: 0,0

 Option E: None
Output: Option A
Question: If the price of a TV is first decreased by 20% and then increased by 45%, then the net change in the price will be :

 Option A: 4% increase

 Option B: 10% increase

 Option C: 10% decrease

 Option D: 16% increase

 Option E: None of these
Output: Option D
Question: 5 liters of a 20 percent solution of alcohol in water are mixed with 3 liters of a 12 percent alcohol in water solution. What is the percentage of alcohol in the new solution?

 Option A: 16.7%

 Option B: 17.0%

 Option C: 17.3%

 Option D: 17.6%

 Option E: 17.9%
Output: Option B
Question: there are 5 envelope and 5 letters placed at random. what is the probability that no single letter is placed in the right envelope

 Option A: 117/120

 Option B: 118/120

 Option C: 119/120

 Option D: 116/120

 Option E: 115/120
Output: Option C
Question: The price of sugar is increased by 7%. By how much percent should a home maker reduce her consumption of sugar to have no extra expenditure?

 Option A: (700/107

 Option B: (107/100

 Option C: (100/107

 Option D: (7/100

 Option E: (100/700
Output: Option A
Question: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

 Option A: 5

 Option B: 7

 Option C: 8

 Option D: 9

 Option E: 10
Output: Option E
Question: In a series of four football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 4 draws in the series?

 Option A: 24/576

 Option B: 125/864

 Option C: 1/25

 Option D: 1/256

 Option E: 1/5
Output: Option D
Question: In how many ways can 3 boys and 3 girls be arranged at a table if 3 girls are never together?

 Option A: 96

 Option B: 92

 Option C: 82

 Option D: 84

 Option E: 90
Output: Option D
Question: In how many years does a sum of Rs. 6000 yield a simple interest of Rs. 15000 at 15% p.a.?

 Option A: 16.66 years

 Option B: 17.66 years

 Option C: 18.66 years

 Option D: 19.66 years

 Option E: 20.66 years
Output: Option A
Question: In a recent election, Ms. Robbins received 6,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?

 Option A: 0.06N + 6,000

 Option B: 0.1N + 7,200

 Option C: 0.4N + 7,200

 Option D: 0.1N + 8,000

 Option E: 0.06N + 8,000
Output: Option A
Question: How many ways can six girls be selected from a group of ten girls?

 Option A: ⁶C₄

 Option B: ¹⁰C₄

 Option C: 4C₄

 Option D: ¹⁰P₄

 Option E: ¹⁰P₅
Output: Option B
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 90 ps per meter is?

 Option A: 287

 Option B: 369

 Option C: 225

 Option D: 279

 Option E: 361
Output: Option C
Question: The averge score of a cricketer for ten matches is 35 runs. If the average for the first six matches is 23. Then find the average for the last four matches?

 Option A: 58

 Option B: 53

 Option C: 64.25

 Option D: 55

 Option E: 57
Output: Option B
Question: In a race where 8 cars are running, the chance that car X will win is 1/2, that Y will win is 1/4 and that Z will win is 1/3. Assuming that a dead heat is impossible, find the chance that one of them will win.

 Option A: 1/140

 Option B: 11/12

 Option C: 14/8

 Option D: 13/12

 Option E: 57/120
Output: Option D
Question: Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 45 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?

 Option A: 80 lakh

 Option B: 50 lakh

 Option C: 72 lakh

 Option D: 60 lakh

 Option E: None of these
Output: Option C
Question: Two positive integers differ by 4, and sum of their reciprocals is 6. Then one of the numbers is

 Option A: a

 Option B: b

 Option C: c

 Option D: 4

 Option E: e
Output: Option D
Question: Working together, Jose and Jane can complete an assigned task in 15 days. However, if Jose worked alone and complete half the work and then Jane takes over the task and completes the second half of the task, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose

 Option A: 26 days

 Option B: 31 days

 Option C: 50 days

 Option D: 65 days

 Option E: 36 days
Output: Option C
Question: 5358 x 52 = ?

 Option A: 273762

 Option B: 278616

 Option C: 273298

 Option D: 273258

 Option E: 277382
Output: Option B
Question: The sum of three consecutive odd numbers is 20 more than the first of these numbers. What is the middle number?

 Option A: 5

 Option B: 7

 Option C: 9

 Option D: 11

 Option E: 10
Output: Option C
Question: A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is

 Option A: 2347

 Option B: 1277

 Option C: 2288

 Option D: 1250

 Option E: 7178
Output: Option D
Question: In a village there are 150 men and 90 women in present time.if in next year population will be P=(a^2 +b^2)^1/2 , and in every year men are reduces 4%.what is population of after 2 year.

 Option A: 140

 Option B: 141

 Option C: 142

 Option D: 143

 Option E: 147
Output: Option E
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. After how much time will the trains meet?

 Option A: 10/3 sec

 Option B: 20/4 sec

 Option C: 20/7 sec

 Option D: 22/7 sec

 Option E: 60/7 sec
Output: Option A
Question: In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability T at least one of the shirts he draws will be blue?

 Option A: 25/153

 Option B: 28/153

 Option C: 5/17

 Option D: 4/9

 Option E: T=12/17
Output: Option E
Question: Group A has 3 boys and 4 girls, group B has 2 boys and 2 girls and group C has 4 boys and 4 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?

 Option A: 13/4

 Option B: 19/28

 Option C: 9/15

 Option D: 29/35

 Option E: 77/27
Output: Option B
Question: 80% of the students of a village is 1600. The total students of the school is?

 Option A: 2000

 Option B: 2500

 Option C: 3000

 Option D: 1800

 Option E: 2200
Output: Option A
Question: There are 6 girls and 6 boys. If they are to be seated in a row, what is the probability that no two girls sit together?

 Option A: 1/12!

 Option B: 6!5!/12!

 Option C: 6!6!/12!

 Option D: 2∗6!6!/12!

 Option E: 6!7!/12!
Output: Option D
Question: The radius of a wheel is 20 cm. What is the distance covered by the wheel in making 500 resolutions?

 Option A: 708 m

 Option B: 704 m

 Option C: 314.3 m

 Option D: 714 m

 Option E: 744 m
Output: Option C
Question: If the operation ∆ is defined by a ∆ b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, then what is the result when we evaluate this expression: (-5) ∆ (5 ∆ −5) ?

 Option A: 49/9

 Option B: 49/16

 Option C: 81/16

 Option D: 81/25

 Option E: 100/81
Output: Option D
Question: In a phase III clinical trial of Dosaxin, a new drug, patients received a progressively growing dosage of Dosaxin for a few days. On the first day, each patient received 15 milligrams of Dosaxin. On each of the following days, the daily dosage was m milligrams greater than the dosage received the day before, reaching a dosage of 43 milligram on the last day of the trial. For how many days did the trial last, if each patient received a total amount of 145 milligrams of Dosaxin during the whole trial ?

 Option A: 4

 Option B: 5

 Option C: 6

 Option D: 7

 Option E: 9
Output: Option B
Question: Jack and Jill work at a hospital with 2 other workers. For an internal review, 2 of the 4 workers will be randomly chosen to be interviewed. What is the probability that Jack and Jill will both be chosen?

 Option A:  1/3

 Option B:  1/6

 Option C:  1/15

 Option D:  3/8

 Option E:  2/3
Output: Option B
Question: Set Q consists of the following five numbers: Q = {5, 8, 13, 21, 32}. Which of the following sets has the same standard deviation as Set Q?
I. {35, 38, 43, 51, 64}
II. {10, 16, 26, 42, 68}
III. {46, 59, 67, 72, 75}

 Option A:  I only

 Option B:  III

 Option C:  IIII

 Option D:  IIIII

 Option E:  I, II,III
Output: Option D
Question: A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 25 hour to row to a place and come back, how far is the place?

 Option A: 24km

 Option B: 30km

 Option C: 48km

 Option D: 120km

 Option E: 15km
Output: Option D
Question: If grapes are 92% water and raisins are 20% water, then how much did a quantity of raisins, which currently weighs 15 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)

 Option A: 25 pounds

 Option B: 46 pounds

 Option C: 150 pounds

 Option D: 100 pounds

 Option E: 146 pounds
Output: Option C
Question: Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 2, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4 : 3. What is the ratio of the composition of the two basic elements in alloy X ?

 Option A: 1 : 1

 Option B: 2 : 3

 Option C: 5 : 2

 Option D: 4 : 3

 Option E: 7 : 9
Output: Option A
Question: If an amount of Rs 13,640 is divided equally among
62 students, approximately how much amount will
each student get?

 Option A: Rs 206

 Option B: Rs 210

 Option C: Rs 220

 Option D: Rs 218

 Option E: None
Output: Option C
Question: A survey reveals that the average income of a company’s customers is $50,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $75,000, what is the average income of the other 40 customers?
Is there a way to solve this using weighted average concept instead of doing tedious calculations?

 Option A:  $27,500

 Option B:  $43,750

 Option C:  $37,500

 Option D:  $42,500

 Option E:  $50,000
Output: Option B
Question: Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 330 grams of compound X?

 Option A: 54

 Option B: 162

 Option C: 250

 Option D: 275

 Option E: 322
Output: Option D
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 54 sec. The length of each train is?

 Option A: 50

 Option B: 26

 Option C: 75

 Option D: 28

 Option E: 21
Output: Option C
Question: A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car?

 Option A: 30km/hr

 Option B: 35km/hr

 Option C: 25km/hr

 Option D: 40km/hr

 Option E: 45km/hr
Output: Option B
Question: Pipes A and B can fill a tank in 4 and 6 hours. Pipe C can empty it in 8 hours. If all pipes are opened together, then the tank will be filled in?

 Option A: 60/17 hr

 Option B: 22/7 hr

 Option C: 52/11 hr

 Option D: 6 hr

 Option E: 63/19 hr
Output: Option B
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?

 Option A: 5/21

 Option B: 5/29

 Option C: 5/23

 Option D: 5/24

 Option E: 5/26
Output: Option A
Question: Some of 45%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 40%. What fraction of the original paint was replaced?

 Option A: 2/5

 Option B: 1/4

 Option C: 1/5

 Option D: 1/7

 Option E: 2/3
Output: Option B
Question: Two trains are moving in the same direction at 162 kmph and 18 kmph. The faster train crosses a man in the slower train in 33 seconds. Find the length of the faster train?

 Option A: 1300

 Option B: 1310

 Option C: 1320

 Option D: 1330

 Option E: 1340
Output: Option C
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

 Option A: 32 Yrs

 Option B: 36 Yrs

 Option C: 40 Yrs

 Option D: 48 Yrs

 Option E: None
Output: Option C
Question: If 6 (A's capital) = 8 (B's capital) = 12 (C's capital). Then the ratio of their capitals is?

 Option A: 20:15:16

 Option B: 4:3:1

 Option C: 4:3:2

 Option D: 20:15:11

 Option E: 20:15:19
Output: Option C
Question: If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:

 Option A: 15

 Option B: 18

 Option C: 20

 Option D: 25

 Option E: 30
Output: Option C
Question: A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets

 Option A: 40 %

 Option B: 50 %

 Option C: 60 %

 Option D: 70 %

 Option E: 80 %
Output: Option B
Question: 8 cups of milk are to be poured into a 4-cup bottle and a 8-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of milk should be poured into the 8-cup bottle?

 Option A:  16/3

 Option B:  7/3

 Option C:  5/2

 Option D:  4/3

 Option E:  3
Output: Option A
Question: In how many different ways can 5 boys and 3 girls sit on a bench such that the girls always sit together?

 Option A: 360

 Option B: 720

 Option C: 1440

 Option D: 4320

 Option E: 5040
Output: Option D
Question: Which of the following list a prime number ?

 Option A: 1

 Option B: 4

 Option C: 8

 Option D: 7

 Option E: 10
Output: Option D
Question: A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?

 Option A: 1278

 Option B: 2799

 Option C: 1023

 Option D: 1782

 Option E: 2781
Output: Option C
Question: In a recent election, Ms. Robinson received 3200 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?

 Option A:  0.06N+3200

 Option B:  0.1N+7200

 Option C:  0.4N+7200

 Option D:  0.1N+8000

 Option E:  0.06N+8000
Output: Option A
Question: If m times the mth series of an A.P. is equal to n times its nth series, what is the (m+n)th term of the A.P. ?

 Option A: 0

 Option B: m

 Option C: n

 Option D: mn

 Option E: None of these
Output: Option A
Question: There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?

 Option A: 6

 Option B: 21

 Option C: 28

 Option D: 7

 Option E: 5
Output: Option A
Question: In what time will a train 120 metres long cross an electric pole, if its speed be 72 km/hr?

 Option A: 7 sec

 Option B: 6 sec

 Option C: 8 sec

 Option D: 9 sec

 Option E: 5 sec
Output: Option B
Question: If n is a natural number, then (6n2 + 6n) is always divisible by:

 Option A: 6 only

 Option B: 12 only

 Option C: 6 and 12 both

 Option D: by 18 only

 Option E: 15 only
Output: Option C
Question: If k and w are the dimensions of a rectangle that has area 21, and if k and w are integers such that k > w, what is the total number of possible values of k?

 Option A:  Two

 Option B:  Three

 Option C:  Four

 Option D:  Five

 Option E:  Six
Output: Option A
Question: The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 20 percent, and on day 3, it is discounted an additional 40 percent. The price of the item on day 3 is what percentage of the sale price on day 1?

 Option A: 28%

 Option B: 48%

 Option C: 64.8%

 Option D: 70%

 Option E: 72%
Output: Option B
Question: In a recent election, James received 5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 50 percent of the vote. How many additional votes would James have needed to win the election?

 Option A: 901

 Option B: 989

 Option C: 990

 Option D: 991

 Option E: 1,001
Output: Option A
Question: Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 48 hours. If one additional machine were used under the same operating conditions, in how manyfewerhours of simultaneous operation could the production order be fulfilled?

 Option A: 6

 Option B: 9

 Option C: 12

 Option D: 27

 Option E: 48
Output: Option C
Question: How many seconds will a 250 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

 Option A: 12

 Option B: 30

 Option C: 40

 Option D: 15

 Option E: 60
Output: Option D
Question: In what time will a train 150 m long cross an electric pole, it its speed be 144 km/hr?

 Option A: 2.50 sec

 Option B: 2.60 sec

 Option C: 3.75 sec

 Option D: 2.9 sec

 Option E: 9.50 sec
Output: Option C
Question: As x increases from 169 to 155, which of the following must increase?
I. 2x - 5
II. 1 - 1/x
III. 1/(x^2 - x)

 Option A:  I only

 Option B:  III only

 Option C:  I and II

 Option D:  I and III

 Option E:  II and III
Output: Option B
Question: If the positive integer x is a multiple of 9/15 and the positive integer y is a multiple of 5/3, then xy must be a multiple of which of the following?
I. 5
II. 3
III. 1

 Option A: II only

 Option B: I and II only

 Option C: I only

 Option D: III only

 Option E: I, II, and III
Output: Option D
Question: If integers a and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. ab + b^2
II. (a + b)^2
III. a + b

 Option A: I only

 Option B: II only

 Option C: III only

 Option D: I and II only

 Option E: I, II, and III
Output: Option B
Question: A bike covers a certain distance at the speed of 64km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?

 Option A: 80 km/h

 Option B: 85 km/h

 Option C: 90 km/h

 Option D: 75 km/h

 Option E: 70 km/h
Output: Option B
Question: A train covers a distance of 12 km in 5 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?

 Option A: 120m

 Option B: 180m

 Option C: 240m

 Option D: 220m

 Option E: 280m
Output: Option C
Question: If the bus had traveled 60 kmh faster than it actually did, the trip of 120 km would have lasted 1 hour less. Find the speed of the bus.

 Option A: 55 kmh

 Option B: 30 kmh

 Option C: 80 kmh

 Option D: 60 kmh

 Option E: 75 kmh
Output: Option D
Question: A wheel that has 2 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:

 Option A: 49

 Option B: 4

 Option C: 12

 Option D: 3

 Option E: 27
Output: Option D
Question: A certain company employs 6 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?

 Option A: 8

 Option B: 24

 Option C: 58

 Option D: 80

 Option E: 210
Output: Option D
Question: If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 35 degrees?

 Option A: π

 Option B: 3π/2

 Option C: 2π

 Option D: 5π/2

 Option E: 7π/9
Output: Option E
Question: Find the area of circle whose radius is 7m?

 Option A: 187

 Option B: 154

 Option C: 177

 Option D: 288

 Option E: 298
Output: Option B
Question: A bus from city M is traveling to city N at a constant speed while another bus is making the same journey in the opposite direction at the same constant speed. They meet in point P after driving for 2 hours. The following day the buses do the return trip at the same constant speed. One bus is delayed 24 minutes and the other leaves 36 minutes earlier. If they meet 24 miles from point P, what is the distance T between the two cities?

 Option A: 48

 Option B: 72

 Option C: 96

 Option D: 120

 Option E: 192
Output: Option E
Question: In what time a sum of money double itself at 3% per annum simple interest?

 Option A: 33 1/8%

 Option B: 33 1/3%

 Option C: 83 1/3%

 Option D: 33 4/3%

 Option E: 73 1/3%
Output: Option B
Question: Of the 150 people at a party, 70 were women, and 30 women tried the appetizer. If 60 people did not try the appetizer, what is the total number of men who tried the appetizer?

 Option A: 40

 Option B: 50

 Option C: 60

 Option D: 70

 Option E: 80
Output: Option C
Question: The average (arithmetic mean) of y numbers is x. If 10 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ?

 Option A: x/6 - 6

 Option B: x/6 - 5

 Option C: x/7 - 5

 Option D: x/5 - 3

 Option E: x/5 - 6
Output: Option D
Question: If two of the four expressions x+y, x+5y, x-y, 5x+y are chosen at random, what is the probability that their product will be of the form of x^2 - (by)^2, where b is an integer?

 Option A: 1/2

 Option B: 1/3

 Option C: 1/4

 Option D: 1/5

 Option E: 1/6
Output: Option E
Question: A baker sold twice as much bread in the afternoon than in the morning. If he sold 360 kilograms of bread that day, how many kilograms did he sell in the morning and how many in the afternoon?

 Option A: 180kg

 Option B: 240kg

 Option C: 470kg

 Option D: 641kg

 Option E: 559kg
Output: Option B
Question: 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?

 Option A: 156 m

 Option B: 189 m

 Option C: 175 m

 Option D: 134 m

 Option E: 972 m
Output: Option C
Question: In the Mundane Goblet competition, 6 teams compete in a “round robin” format: that is, each team plays every other team exactly once. A team gets 3 points for a win, 1 point for a tie (a draw), and 0 points for a loss. What is the difference between the maximum total points and the minimum total points that can be gained by all teams (added together) in the Mundane Goblet competition?

 Option A: 15

 Option B: 30

 Option C: 45

 Option D: 60

 Option E: 75
Output: Option A
Question: P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?

 Option A: 11 days

 Option B: 16 days

 Option C: 13 days

 Option D: 15 days

 Option E: 19 days
Output: Option B
Question: The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?

 Option A: 76 cm2

 Option B: 56 cm2

 Option C: 18 cm2

 Option D: 98 cm2

 Option E: 40 cm2
Output: Option E
Question: Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 + 0.01)

 Option A: 0.845

 Option B: 1.908

 Option C: 2.312

 Option D: 0.001

 Option E: 0.002
Output: Option A
Question: In a mixture of 13 litres, the ratio of milk and water is 3 : 2. If 3 liters of this mixture is replaced by 3 liters of milk, then what will be the ratio of milk and water in the newly formed mixture?

 Option A: 9 : 1

 Option B: 9 : 2

 Option C: 9 : 7

 Option D: 9 : 4

 Option E: 9 : 3
Output: Option D
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 6400 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?

 Option A: 140 sq.units

 Option B: 320 sq.units

 Option C: 367sq.units

 Option D: 178sq.units

 Option E: 176sq.units
Output: Option B
Question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 8, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?

 Option A: 20

 Option B: 22

 Option C: 24

 Option D: 27

 Option E: 30
Output: Option D
Question: How can a cake(circular) be cut into 8 pieces by making just 3 cuts?

 Option A: 21

 Option B: 787

 Option C: 37

 Option D: 26

 Option E: 01
Output: Option A
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 200. Find the total worth of the stock?

 Option A: 20029

 Option B: 20000

 Option C: 10000

 Option D: 20027

 Option E: 20026
Output: Option C
Question: Find the sum of first 20 natural numbers

 Option A: 470

 Option B: 210

 Option C: 465

 Option D: 463

 Option E: 485
Output: Option B
Question: What is the greatest positive integer x such that 3^x is a factor of 9^7?

 Option A: 5

 Option B: 14

 Option C: 10

 Option D: 20

 Option E: 30
Output: Option B
Question: If the function Q is defined by the formula Q = 5e/(4x(z^2)), by what factor will Q be multiplied if e is quadrupled, x is doubled, and z is tripled?

 Option A: 1/9

 Option B: 2/9

 Option C: 4/9

 Option D: 3/9

 Option E: 2/27
Output: Option B
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?

 Option A: 17 1/7 days

 Option B: 5 days

 Option C: 6 days

 Option D: 9 days

 Option E: 10 days
Output: Option A
Question: How long does a train 165 meters long running at the rate of 90 kmph take to cross a bridge 660 meters in length?

 Option A: 33

 Option B: 72

 Option C: 55

 Option D: 82

 Option E: 62
Output: Option A
Question: If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability J that a number picked up in first 90 positive integers will have the result of # as an odd digit ?

 Option A: (a

 Option B: (b

 Option C: (c

 Option D: (d

 Option E: (e
Output: Option E
Question: The probability that a card drawn from a pack of 52 cards will be a diamond or a king is

 Option A: 2/13

 Option B: 4/13

 Option C: 1/13

 Option D: 1/52

 Option E: None
Output: Option B
Question: The ratio of red, yellow, and green jelly beans in a jar is 1:3:4. If the number of jelly beans is increased by 60%, 20%, and 40% respectively, what will be the new ratio?

 Option A: 3:7:12

 Option B: 4:9:14

 Option C: 5:11:15

 Option D: 6:14:17

 Option E: 8:17:24
Output: Option B
Question: The ratio of two speeds of two trains is 3 to 4. If each of the trains slows its speed 5 km/ hr, what will be the ratio of these two train speeds ?

 Option A: 3/4

 Option B: 8/9

 Option C: 18/19

 Option D: 23/24

 Option E: It cannot be determined from the information given
Output: Option E
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 47 percent were employees. What percent were stockholders, who were not employees?

 Option A: 52

 Option B: 53

 Option C: 54

 Option D: 55

 Option E: 56
Output: Option B
Question: In an election a candidate who gets 60% of the votes is elected by a majority of 900 votes. What is the total number of votes polled?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E
Output: Option A
Question: A man walking at a rate of 10km/hr crosses a bridge in 12 minutes. The length of the bridge is?

 Option A: 2000

 Option B: 1492

 Option C: 1667

 Option D: 1254

 Option E: 1112
Output: Option A
Question: There are, in a certain league, 50 teams, and each team face another team for a total of 4 times. How many games are played in the season?

 Option A: 6660

 Option B: 3600

 Option C: 2400

 Option D: 4900

 Option E: 5400
Output: Option D
Question: 20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability C that one more throw to this series will increase the mean score?

 Option A: 1/6

 Option B: 1/3

 Option C: 1/2

 Option D: 2/3

 Option E: 5/6
Output: Option C
Question: Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 2 hours and machine B produces k bottles in 4 hours. How many hours does it take machines A and B, working simultaneously, to produce 15k bottles?

 Option A: 10

 Option B: 15

 Option C: 12

 Option D: 20

 Option E: 18
Output: Option D
Question: Is y is a positive number? Statement–1: 2x+y > 27; Statement–2: x–3y < 24

 Option A: 22

 Option B: 62

 Option C: 28

 Option D: 16

 Option E: 11
Output: Option B