Lots-of-LoRAs/task750_aqua_multiple_choice_answering huggingface dataset:
Input: Question: On flipping 3 coins together what is the outcomes for at least four tail?

 Option A: 1/7

 Option B: 0

 Option C: 1

 Option D: 4/13

 Option E: 5/13
Output: Option B
Input: Question: 8 friends decides to eat pizza. 4 friends eat type 1 pizza which cost 100 each. Remaining friend buy pizza having off on it and saves 100 and each of them pay equal money .Total bill is 800. what is % of off on each pizza.

 Option A: 20%

 Option B: 30%

 Option C: 10%

 Option D: 15%

 Option E: 25%
Output: Option A
Input: 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
Input: Question: In a village of 2,600 people, 800 people are over 70 years old and 850 people are female. It is known that 40 percent of the females are younger than 70 years old. If no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years old?

 Option A: 221/250

 Option B: 199/250

 Option C: 33/50

 Option D: 8/25

 Option E: 209/260
Output: Option E
Input: Question: A van takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?

 Option A: 40 Kmph

 Option B: 50 Kmph

 Option C: 60 Kmph

 Option D: 75 Kmph

 Option E: 860 Kmph
Output: Option C
Input: Question: What is the 101st digit after the decimal point in the decimal representation of 1/3 + 1/9 + 1/27 + 1/37?

 Option A: 0

 Option B: 1

 Option C: 5

 Option D: 7

 Option E: 8
Output: Option A
Input: Question: If Daniel is 18 years old in December and is 10 years younger than his sister, which of the following could be true?
I. Daniel's Sister will be 28 years in December.
II. When Daniel is 20 years, his sister will be 25 years.
III. Daniel is older than his sister.

 Option A:  I only

 Option B:  I and II only

 Option C:  I and III only

 Option D:  II and III only

 Option E:  I, II and III
Output: Option A
Input: Question: How many 5-digit positive integers exist the sum of whose digits are odd?

 Option A: 36000

 Option B: 38000

 Option C: 45000

 Option D: 90000

 Option E: None
Output: Option C
Input: Question: 5 speakers gathered to deliver speeches on two topics. Even though 5 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?

 Option A: 2

 Option B: 20

 Option C: 25

 Option D: 100

 Option E: 1024
Output: Option C
Input: Question: What is the least value of x. So that 23x57 is divisible by 3.

 Option A: 2

 Option B: 0

 Option C: 1

 Option D: 3

 Option E: 4
Output: Option C
Input: Question: If 3^x*4^y = 1,594,323 and x – y = 13, then x = ?

 Option A: 10

 Option B: 11

 Option C: 12

 Option D: 13

 Option E: 14
Output: Option D
Input: 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
Input: 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
Input: Question: John and Lewis leave Chennai for Bangalore simultaneously at 8 P.M in the night driving in two cars at speeds of 50 mph and 70 mph respectively. As soon as Lewis reaches Bangalore he returns back to Chennai along the same route and meets John on the way back. If the distance between the two cities is 210 miles, how far from Chennai did John and Lewis meet?

 Option A: 200 miles

 Option B: 140 miles

 Option C: 150 miles

 Option D: 149 miles

 Option E: 50 miles
Output: Option C
Input: Question: an article with cost price of 180 is sold at 15% profit. what is the selling price?

 Option A: 198

 Option B: 200

 Option C: 204

 Option D: 207

 Option E: 210
Output: Option D
Input: Question: A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B alone can do the whole work in

 Option A: 15days

 Option B: 10days

 Option C: 9days

 Option D: 8days

 Option E: 7days
Output: Option A
Input: Question: If 15 toys cost Rs, 234, what do 35 toys cost?

 Option A: 645

 Option B: 564

 Option C: 546

 Option D: 654

 Option E: None of them
Output: Option C
Input: Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.

 Option A: 125/167

 Option B: 125/186

 Option C: 125/126

 Option D: 125/186

 Option E: 125/128
Output: Option C
Input: Question: if m>0 and y is m percent of x, then, in terms of m, x is what percent of y?

 Option A: a

 Option B: b

 Option C: c

 Option D: d

 Option E: e
Output: Option C
Input: Question: The total of the ages of Jai, Prajan and Sarath is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Sarath?

 Option A: 24 years

 Option B: 32 years

 Option C: 38 years

 Option D: 42 years

 Option E: None
Output: Option C
Input: Question: A company declared a semi-annual dividend of 12%. Find the annual dividend of Sam owing 2000 shares of the company having a par value of Rs. 10 each.

 Option A: 4000

 Option B: 4200

 Option C: 4400

 Option D: 4800

 Option E: 5000
Output: Option D
Input: Question: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 120 feet in circumference.After how many minutes are the three of them together again?

 Option A: 2 mins

 Option B: 10 mins

 Option C: 15 mins

 Option D: 3 mins

 Option E: 7 mins
Output: Option A
Input: Question: In a race of 4Kms A beats B by 100m or 25 seconds, then time taken by A is

 Option A: 8 min 15 sec

 Option B: 10 min 17 sec

 Option C: 15 min 8 sec

 Option D: 16 min 15 sec

 Option E: 17 min 15 sec
Output: Option D
Input: Question: A man can do a piece of work in 4 days, but with the help of his daughter, he can do it in 3 days. In what time can his daughter do it alone?

 Option A: 12

 Option B: 28

 Option C: 26

 Option D: 19

 Option E: 112
Output: Option A
Input: Question: Which of the following CANNOT be true if the sum of k consecutive integers is 0, where k ≥ 1 ?
I. The product of the k integers is positive
II. The smallest of the k integers is zero
III. The largest of the k integers is negative

 Option A: I only

 Option B: II only

 Option C: III only

 Option D: I and III

 Option E: I, II and III
Output: Option D
Input: Question: A reduction of 40% in the price of bananas would enable a man to obtain 67 more for Rs.40, what is reduced price per dozen?

 Option A: 1.86

 Option B: 2.86

 Option C: 4.86

 Option D: 3.86

 Option E: 5.86
Output: Option B
Input: Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 8 inches by 15 inches and Jordan's rectangle is 4 inches long, how wide is Jordan's rectangle, in inches?

 Option A: 24

 Option B: 26

 Option C: 28

 Option D: 30

 Option E: 32
Output: Option D
Input: Question: Joe's age, Joe's sister's age and Joe’s fathers age sums up to a century. When son is as old as his
father, Joe's sister will be twice as old as now. When Joe is as old as his father then his father is twice as old as when his sister was as old as her father.What is the age of father?

 Option A: 40

 Option B: 50

 Option C: 60

 Option D: 70

 Option E: 80
Output: Option B
Input: Question: Look at this series: 97, 97, 97, 87, 87, 87, 67, 67, 67 ... What number should come next?

 Option A: 47

 Option B: 57

 Option C: 45

 Option D: 48

 Option E: 55
Output: Option B
Input: Question: How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

 Option A: 15s

 Option B: 20s

 Option C: 25s

 Option D: 30s

 Option E: 35s
Output: Option D
Input: Question: A certain tests consists 8 sections with 25 questions, numbered from 1 to 25, in each section. If a student answered all of the even-numbered questions correctly and 3/4 of the odd-numbered questions correctly, what was the total number of questions he answered correctly?
a. 150
b. 172
c. 174
d. 175
e. 176

 Option A: 174

 Option B: 150

 Option C: 180

 Option D: 175

 Option E: 190
Output: Option A
Input: Question: A tourist purchased a total of $1,500 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was three more or three less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?

 Option A: $1,230

 Option B: $1,310

 Option C: $1,290

 Option D: $1,270

 Option E: $1,150
Output: Option A
Input: Question: If 350!/10^n is an integer, what is the largest possible value of n?

 Option A: 88

 Option B: 82

 Option C: 86

 Option D: 87

 Option E: 80
Output: Option C
Input: Question: A can run 192 metre in 28 seconds and B in 32 seconds. By what distance A beat B?

 Option A: 38 metre

 Option B: 28 metre

 Option C: 24 metre

 Option D: 15 metre

 Option E: 28 metre
Output: Option C
Input: 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
Input: Question: x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median W of x, y, and z?
I. 9
II. 10
III. 11

 Option A: I only

 Option B: II only

 Option C: III only

 Option D: I and II only

 Option E: I and III only
Output: Option E
Input: Question: If log72 = m, then log4928 is equal to

 Option A: 2(1 + 2m

 Option B: (1 + 2m

 Option C: 2/(1 + 2m

 Option D: 1 + m

 Option E: 1 + 2m
Output: Option B
Input: Question: A IS TWICE AS GOOD A WORKMAN AS B AND TOGETHER THEY FINISH A PIECE OF WORK IN 14 DAYS. THE NUMBER OF DAYS TAKEN BY A ALONE TO FINISH THE WORK IS:

 Option A: 11

 Option B: 21

 Option C: 28

 Option D: 42

 Option E: NONE OF THESE
Output: Option B
Input: Question: In a college, 71 percent of students Play Football, 76 percent of students Play Hockey, 86 percent Play Basket Ball and 81 percent Play Volleyball.
Can you find out the percentage of students who study all 4 Games?

 Option A: 14%

 Option B: 10%

 Option C: 16%

 Option D: 18%

 Option E: 19%
Output: Option A
Input: Question: 50% of a number is added to 120, the result is the same number. Find the number?

 Option A: 300

 Option B: 277

 Option C: 240

 Option D: 99

 Option E: 121
Output: Option C
Input: Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $1.20 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?

 Option A: $255

 Option B: $275

 Option C: $510

 Option D: $612

 Option E: $2,550
Output: Option D
Input: Question: One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field in meter square

 Option A: 100

 Option B: 110

 Option C: 120

 Option D: 130

 Option E: 140
Output: Option C
Input: Question: Set S consists of all prime integers less than 10. If two numbers are chosen form set S at random, what is the probability that the product of these numbers will be greater than the product of the numbers which were not chosen?

 Option A: 1/3

 Option B: 2/3

 Option C: 1/2

 Option D: 7/10

 Option E: 4/5
Output: Option C
Input: Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?

 Option A: 16

 Option B: 17

 Option C: 12

 Option D: 16

 Option E: 16
Output: Option C
Input: Question: Every student at Tarcy School is in at least one of three clubs: horseback riding, embroidery, and country dancing, which are the only clubs in existence at the school. The ratio of the number of students in exactly two clubs to the number of students in exactly one club is 4:3, while the ratio of the number of students in exactly two clubs to the number of students in at least two clubs is 5:7. Which of the following could be the total number of students at Tarcy School?

 Option A: 63

 Option B: 69

 Option C: 74

 Option D: 82

 Option E: 86
Output: Option E
Input: Question: A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:

 Option A: 48 km/hr

 Option B: 54 km/hr

 Option C: 66 km/hr

 Option D: 82 km/hr

 Option E: 85 km/hr
Output: Option D
Input: Question: There are how many 4-digit even numbers if the first digit cannot be a zero?

 Option A: 3,600

 Option B: 3,645

 Option C: 4,500

 Option D: 4,999

 Option E: 5,000
Output: Option C
Input: Question: If −2≤e≤0 and n > 19, which of the following CANNOT be the value of en?

 Option A: -48

 Option B: -38

 Option C: -20

 Option D: 0

 Option E: 19
Output: Option E
Input: Question: There are, in a certain league, 8 teams, and each team face another team for a total of 12 times. How many games are played in the season?

 Option A: 150

 Option B: 121

 Option C: 144

 Option D: 180

 Option E: 1200
Output: Option C
Input: Question: In what time will a railway train 90 m long moving at the rate of 44 kmph pass a telegraph post on its way?

 Option A: 3

 Option B: 5

 Option C: 4.3

 Option D: 6.5

 Option E: 7.4
Output: Option E
Input: Question: The speed of a car is 80 km in the first hour and 60 km in the second hour. What is the average speed of the car?

 Option A: 70 kmph

 Option B: 92 kmph

 Option C: 75 kmph

 Option D: 65 kmph

 Option E: 77 kmph
Output: Option A
Input: Question: In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B?

 Option A: 5 m/s

 Option B: 8 m/s

 Option C: 9 m/s

 Option D: 4 m/s

 Option E: 2 m/s
Output: Option B
Input: Question: A sum of money lent out at S.I. amounts to a total of $520 after 2 years and to $820 after a further period of 5 years. What was the initial sum of money that was invested?

 Option A: $340

 Option B: $360

 Option C: $380

 Option D: $400

 Option E: $420
Output: Option D
Input: Question: If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 3410 , R will receive

 Option A: 660

 Option B: 700

 Option C: 800

 Option D: 900

 Option E: None of these
Output: Option A
Input: Question: A can finish a work in 18 days and B can do the same work in 15 days. B
worked for 10 days and left the job. In how many days A alone can finish the
remaining work?

 Option A: 6days

 Option B: 5days

 Option C: 4days

 Option D: 3days

 Option E: 2days
Output: Option A
Input: Question: At a local supermarket, a box of cereal usually costs 22 dollars. This week, the supermarket sells the box of cereal for 11 dollars. How much money will you save if you buy this cereal at this supermarket?

 Option A: 11 dollars

 Option B: 13 dollars

 Option C: 14 dollars

 Option D: 12 dollars

 Option E: 10 dollar
Output: Option A
Input: Question: The sum of two numbers is 30 and their difference is 10. Find their product.

 Option A: 104

 Option B: 114

 Option C: 315

 Option D: 200

 Option E: 335
Output: Option D
Input: Question: A pharmaceutical company received $5 million in royalties on the first $25 million in sales of generic equivalent of one of its products and then $10 million in royalties on the next $100 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $25 million in sales to the next $100 million in sales?

 Option A: 50%

 Option B: 65%

 Option C: 70%

 Option D: 75%

 Option E: 80%
Output: Option A
Input: Question: For one toss of a certain coin, the probability that the outcome is heads is 0.3. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?

 Option A: (0.3

 Option B: 2(0.3

 Option C: 3(0.3

 Option D: 4(0.3

 Option E: 5(0.3
Output: Option E
Input: Question: Of the teams competing in the world archery championships, Forty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.

 Option A: 13/20

 Option B: 15/20

 Option C: 13/15

 Option D: 17/20

 Option E: 7/17
Output: Option E
Input: Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.

 Option A: 287 m

 Option B: 704 m

 Option C: 168 m

 Option D: 278 m

 Option E: 107 m
Output: Option B
Input: Question: A lady bought five books namely A,B,C,D,E to distribute her 7 friends. How many ways she can distribute books?

 Option A: 7^3

 Option B: 7^4

 Option C: 7^5

 Option D: 7^6

 Option E: 7^2
Output: Option C
Input: Question: The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

 Option A: 9000

 Option B: 9400

 Option C: 9600

 Option D: 9670

 Option E: 9800
Output: Option C
Input: Question: Running at the same constant rate, 6 identical machines can produce a total of 330 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

 Option A: 648

 Option B: 1800

 Option C: 2200

 Option D: 10800

 Option E: 10900
Output: Option C
Input: Question: Rasik walked 20 m towards north. Then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Finally he turns left and walks 15 m. In which direction and how many metres is he from the starting position?

 Option A: 15 m West

 Option B: 30 m East

 Option C: 35 m East

 Option D: 45 m East

 Option E: 40 m East
Output: Option D
Input: Question: A certain stock exchange designates each stock with a two-letter or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes without using the vowels A, E, I, O, or U?

 Option A: 9372

 Option B: 9482

 Option C: 9592

 Option D: 9702

 Option E: 9812
Output: Option D
Input: Question: The sector of a circle has radius of 21 cm and central angle 108o. Find its perimeter?

 Option A: 81.6cm

 Option B: 85.9cm

 Option C: 90cm

 Option D: 92cm

 Option E: 95cm
Output: Option A
Input: Question: A can do a piece of work in 5 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

 Option A: 30

 Option B: 20

 Option C: 10

 Option D: 6

 Option E: 5
Output: Option A
Input: Question: In what time a sum of money double itself at 2% per annum simple interest?

 Option A: 60%

 Option B: 58%

 Option C: 55%

 Option D: 40%

 Option E: 50%
Output: Option E
Input: Question: 270 students appeared for an examination, of which 252 passed. What is the pass percentage?

 Option A: 93(1/3

 Option B: 93(2/3

 Option C: 92(2/3

 Option D: 92%

 Option E: None of these
Output: Option A
Input: Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 150, the runs scored by B are?
A. 15 B. 18

 Option A: 22

 Option B: 18

 Option C: 99

 Option D: 36

 Option E: 24
Output: Option D
Input: Question: A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 16 heads and 41 legs. How many cats does the ship host?

 Option A: 5

 Option B: 6

 Option C: 4

 Option D: 7

 Option E: 8
Output: Option A
Input: Question: 12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 16 cm height. What is the diameter of each sphere?

 Option A: 4 cm

 Option B: 6 cm

 Option C: 8 cm

 Option D: 10 cm

 Option E: 12 cm
Output: Option C
Input: Question: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?

 Option A: 12

 Option B: 15

 Option C: 24

 Option D: 27

 Option E: 52
Output: Option D
Input: Question: Rick deposited $850 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit?

 Option A: 5

 Option B: 25

 Option C: 50

 Option D: 55

 Option E: 65
Output: Option D
Input: Question: A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C

 Option A: 3:7:5

 Option B: 6:10:5

 Option C: 6:10:7

 Option D: 6:7:5

 Option E: None of these
Output: Option B
Input: Question: Choose the missing terms out of the given alternatives.
BXJ, ETL, HPN, KLP, ?

 Option A: MHQ

 Option B: MIP

 Option C: NIR

 Option D: NHR

 Option E: HEW
Output: Option D
Input: Question: An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

 Option A: 1.04

 Option B: 2.04

 Option C: 3.04

 Option D: 4.04

 Option E: None of these
Output: Option D
Input: Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 10(B + G) is ?

 Option A: Equal to 3

 Option B: Less than 3

 Option C: More than 10

 Option D: Less than 10

 Option E: none of these
Output: Option C
Input: Question: There are six cards in which it has two king cards. all cards are turned down and two cards are opened :
a) what is the possibility to get at least one king.
b) what is the possibility to get two kings.

 Option A: a = 1/15 , b = 3/5

 Option B: a = 3/5 , b = 1/15

 Option C: a = 2/15 , b = 4/5

 Option D: a = 6/15 , b = 3/5

 Option E: a = 6/15 , b = 7/5
Output: Option B
Input: Question: A man walks at the speed of 5 km/hr and runs at the speed of 10 km/hr. How much time will the man require to cover the distance of 28 km, if he covers half (first 14 km) of his journey walking and half of his journey running ?

 Option A: 3.2 hrs

 Option B: 5.2 hrs

 Option C: 4.2 hrs

 Option D: 8.2 hrs

 Option E: 9.2 hrs
Output: Option C
Input: Question: The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?

 Option A: 288

 Option B: 276

 Option C: 1750

 Option D: 2887

 Option E: 2991
Output: Option C
Input: Question: P can do a work in 60 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.

 Option A: 7

 Option B: 8

 Option C: 9

 Option D: 15

 Option E: 25
Output: Option E
Input: Question: If the price of petrol increases by 20, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?

 Option A: 16.7%

 Option B: 20%

 Option C: 24.67%

 Option D: 33.33%

 Option E: None of these
Output: Option A
Input: Question: 27 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?

 Option A: 33

 Option B: 66

 Option C: 88

 Option D: 100

 Option E: 281
Output: Option A
Input: Question: If 2^5, 3^3, and 12^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?

 Option A: 26

 Option B: 39

 Option C: 42

 Option D: 144

 Option E: 156
Output: Option D
Input: Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12500 after a year?

 Option A: 3630

 Option B: 3637

 Option C: 3630

 Option D: 3750

 Option E: 3635
Output: Option D
Input: Question: How many five-digit numbers exist such that the product of their digits is 400?

 Option A: 60

 Option B: 120

 Option C: 180

 Option D: 30

 Option E: 75
Output: Option B
Input: Question: If the probability of rain on any given day in City X is 50%, what is probability that it rains on exactly 4 days in a 5 day period?

 Option A: 2/5

 Option B: 4/5

 Option C: 3/16

 Option D: 4/32

 Option E: 5/32
Output: Option E
Input: Question: Four people are on an elevator that stops at exactly 4 floors. What is the probability that exactly one person will push the button for each floor?

 Option A: 4!/4^4

 Option B: 4^4/4!

 Option C: 4/4!

 Option D: 4/4^4

 Option E: 1/4^4
Output: Option A
Input: Question: A man's speed with the current is 20 kmph and speed of the current is 3 kmph. The Man's speed against the current will be

 Option A: 11 kmph

 Option B: 12 kmph

 Option C: 14 kmph

 Option D: 17 kmph

 Option E: None of these
Output: Option C
Input: Question: Elena’s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to make 7 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?

 Option A: 1

 Option B: 4

 Option C: 9

 Option D: 13

 Option E: 28
Output: Option E
Input: Question: A and B have the same number of marbles when they start playing. After some time A gains 20 marbles and later he loses 2/3rds of what he had. Now B has 4 times as many marbles as A has. What are the initial number of marbles that each of them had?

 Option A: 80

 Option B: 90

 Option C: 100

 Option D: 110

 Option E: 120
Output: Option C
Input: Question: In Orange County one third of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?

 Option A: 60.

 Option B: 42.

 Option C: 85.

 Option D: 140.

 Option E: 252.
Output: Option B
Input: Question: Harriet planned to complete a certain task on Wednesday, January 1, but because of illness the completion date was postponed 43 days. On which day of the week in February was the task completed?

 Option A: Monday

 Option B: Tuesday

 Option C: Wednesday

 Option D: Thursday

 Option E: Friday
Output: Option D
Input: Question: Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of an alpha raised to the seventh power and a delta raised to the seventh power?

 Option A: alpha

 Option B: beta

 Option C: gamma

 Option D: delta

 Option E: epsilon
Output: Option C
Input: Question: Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. If the gain is proportional to the money invested and the time for which the money is invested and the total gain was Rs. 28000, find the earning of Nandan.

 Option A: Rs.7000

 Option B: Rs.5000

 Option C: Rs.6000

 Option D: Rs.Rs.4000

 Option E: Rs.6500
Output: Option D
Input: 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
Input: Question: The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 15 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a window seat and thw window seat is assigned randomly, what is the probability that the person will get a seat with an unobscured view?

 Option A: 1/6

 Option B: 1/2

 Option C: 2/3

 Option D: 5/6

 Option E: 17/18
Output: Option B
Input: Question: A certain vehicle is undergoing performance adjustments during a set of three trials on an 8-mile track. The first time it travels around the track at a constant rate of p miles per minute, the second time at a constant rate of p^2 miles per minute, and the third time at a constant rate of p^3 miles per minute. If the vehicle takes the same time to travel the first 18 miles of these trials as it does to travel the last 8 miles, how many minutes does it take to complete all three trials (not counting any time between trials)?

 Option A: 18

 Option B: 36

 Option C: 60

 Option D: 96

 Option E: 112 minutes
Output: Option E
Input: Question: A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Thursday at 11 AM, what will be the time at the end of 10 days?

 Option A: 11:54:24 AM

 Option B: 11:56:24 AM

 Option C: 12:16:40 PM

 Option D: 11:54:40 AM

 Option E: 12:06:36 PM
Output: Option A
Input: Question: A boat can move upstream at 25 kmph and downstream at 40 kmph, then the speed of the current is?

 Option A: 5

 Option B: 6

 Option C: 7

 Option D: 7.5

 Option E: 32
Output: Option D
Input: Question: 85% of a number is added to 24, the result is the same number. Find the number?

 Option A: 277

 Option B: 267

 Option C: 222

 Option D: 160

 Option E: 123
Output: Option D
Input: Question: Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?

 Option A: 22

 Option B: 16

 Option C: 82

 Option D: 27

 Option E: 15
Output: Option B
Input: Question: Reena took a loan of 1000 with simple interest for as many years as the rate of interest. If she paid 40 as interest at the end of the loan period, what was the rate of interest?

 Option A: 3.8

 Option B: 2

 Option C: 6

 Option D: Cannot be determined

 Option E: None
Output: Option B
Input: Question: Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey?

 Option A: 69 km /hr

 Option B: 69.2 km /hr

 Option C: 67.2 km /hr

 Option D: 67 km /hr

 Option E: 65 km /hr
Output: Option C
Input: Question: hree unbiased coins are tossed. What is the probability of getting at least 2 tails?

 Option A: 0.5

 Option B: 0.8

 Option C: 0.2

 Option D: 0.9

 Option E: 0.1
Output: Option A
Input: Question: Two positive integers differ by 4, and sum of their reciprocals is 5 Then one of the numbers is

 Option A: a

 Option B: b

 Option C: c

 Option D: d

 Option E: 4
Output: Option E
Input: Question: Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born ?

 Option A: 32 years, 23 years

 Option B: 32 years, 29 years

 Option C: 35 years, 29 years

 Option D: 35 years, 33 years

 Option E: 34 years, 33 years
Output: Option A
Input: Question: For any even integer P, 300 multiplied by P is square of an integer. What is the least value of P?

 Option A: 3

 Option B: 4

 Option C: 10

 Option D: 12

 Option E: 14
Output: Option A
Input: Question: A number is said to be prime saturated if the product of all the different positive prime factors of z is less than the square root of z. What is the greatest two digit prime saturated integer ?

 Option A: 99

 Option B: 98

 Option C: 97

 Option D: 96

 Option E: 95
Output: Option D
Input: Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 45 kmph, find the speed of the stream?

 Option A: 15

 Option B: 19

 Option C: 14

 Option D: 18

 Option E: 16
Output: Option A
Input: Question: How many of the integers between 20 and 80 are even ?

 Option A: 21

 Option B: 30

 Option C: 11

 Option D: 10

 Option E: 9
Output: Option B
Input: Question: An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is?

 Option A: 4%

 Option B: 4.04%

 Option C: 4.14%

 Option D: 5%

 Option E: 5.13%
Output: Option B
Input: Question: Nr Books bought Nr of People
1 5
3 2
4 7
6 3
What is the median of books bought per person?

 Option A: a

 Option B: b

 Option C: c

 Option D: d

 Option E: e
Output: Option B
Input: Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 75% profit on the first article and 75% loss on second article. Find the net profit or loss percent?

 Option A: 200

 Option B: 768

 Option C: 276

 Option D: 750

 Option E: 279
Output: Option D
Input: Question: If n is an integer from 1 to 96, what is the probability for n*(n+1)*(n+2) being divisible by 8?

 Option A: a. 25%

 Option B: b. 50%

 Option C: c. 62.5%

 Option D: d. 72.5%

 Option E: e. 75%
Output: Option C
Input: Question: Round off the given number to nearest hundreds
10158

 Option A: 10000

 Option B: 10200

 Option C: 11000

 Option D: 10150

 Option E: 10100
Output: Option B
Input: Question: For any real number x, the operatoris defined as:
(x) = x(4 − x)
If p + 1 =(p + 1), then p =

 Option A: −4

 Option B: 0

 Option C: 1

 Option D: 2

 Option E: 3
Output: Option E
Input: Question: How many ways are there to award a gold, silver and bronze medal to 12 contending teams?

 Option A: 12 x 11 x 10

 Option B: 10!/(3!7!

 Option C: 10!/3!

 Option D: 360

 Option E: 300
Output: Option A
Input: Question: At 30 minutes past 5 o'clock, what is the angle between the two hands?

 Option A: 45

 Option B: 60

 Option C: 30

 Option D: 15

 Option E: 5
Output: Option D
Input: Question: Mr Amin borrowed some money from Mr Vishwas. The rate of interest for first two years is 8% p.a., for the next three years is 11 % p.a. and for the period beyond 5 years 14% p.a. Mr Vishwas got an amount of 10920 as an interest at the end of eight years. Then what amount was borrowed by Mr Amin ?

 Option A: 12000

 Option B: 15000

 Option C: 1400

 Option D: Data inadequate

 Option E: None of these
Output: Option A
Input: Question: What is the least whole number that should be added to 784839 if it is to be divisible by 10?

 Option A: 3

 Option B: 2

 Option C: 1

 Option D: 5

 Option E: 6
Output: Option C
Input: Question: A number is increased by 20% and then decreased by 20%, the final value of the number is ?

 Option A: does not change

 Option B: decreases by 2%

 Option C: increases by 4%

 Option D: decreases by 4%

 Option E: None of these
Output: Option D
Input: Question: John purchased a fridge & a mobile for Rs. 15000&Rs. 8000 respectively. He sold the fridgeat a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make a profit.

 Option A: Rs. 100

 Option B: Rs. 150

 Option C: Rs. 200

 Option D: Rs. 300

 Option E: Rs. 350
Output: Option C
Input: Question: What will be the cost of building a fence around a rectangle plot with area equal to 289 sq ft, and a = 1.7*b if the price per foot of building the fence is Rs. 58?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E
Output: Option D
Input: Question: The average salary of all the workers in a workshop is Rs. 6750. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E
Output: Option D
Input: Question: Find the number of square tiles to cover the floor of a room measuring 3.75 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?

 Option A: 478

 Option B: 376

 Option C: 442

 Option D: 471

 Option E: 445
Output: Option C
Input: Question: To create paint with a certain shade of gray, one must combine 2.3 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?

 Option A: 152.1

 Option B: 156.4

 Option C: 347.1

 Option D: 694.4

 Option E: 705.6
Output: Option A
Input: Question: John and Peter are among the seven players a basketball coach can choose from to field a five-player team. If all five players are chosen at random, what is the probability of choosing a team that includes John and Peter?

 Option A: 5/11

 Option B: 8/15

 Option C: 9/20

 Option D: 10/21

 Option E: 11/24
Output: Option D
Input: Question: Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $5.43 total. On Tuesday and Wednesday, she spent $3.54 on each day. On Friday, she spent $4.89 on lunch. What was her average daily cost?

 Option A: a. $3.19

 Option B: b. $3.75

 Option C: c. $3.48

 Option D: d. $4.08

 Option E: e. $4.23
Output: Option C
Input: Question: Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to 1/4 of capacity in 9 hours and a second inlet pipe fills the same empty tank to 2/3 of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to capacity?

 Option A: 3.25

 Option B: 3.6

 Option C: 4.2

 Option D: 4.4

 Option E: 7.2
Output: Option E
Input: Question: Find the fourth proportion to 2,4,6

 Option A: 18

 Option B: 12

 Option C: 9

 Option D: 6

 Option E: 8
Output: Option B
Input: Question: If the average (arithmetic mean) of x, x + 2, and x + 4 is 53, what is the value of x?

 Option A: 52

 Option B: 53

 Option C: 54

 Option D: 55

 Option E: 51
Output: Option E
Input: Question: David works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 4 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?

 Option A: 3/5

 Option B: 2/5

 Option C: 4/5

 Option D: 1/5

 Option E: 6/5
Output: Option B
Input: Question: Alex deposited x dollars into a new account that earned 8 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?

 Option A: w/(1+1.08

 Option B: w/(1.08+1.16

 Option C: w/(1.16+1.24

 Option D: w/(1.08+1.08^2

 Option E: w/(1.08^2+1.08^2
Output: Option D
Input: Question: Running at the same constant rate, 8 identical machines can produce a total of 240 pens per minute. At this rate, how many pens could 5 such machines produce in 5 minutes?

 Option A:  114

 Option B:  108

 Option C:  192

 Option D:  750

 Option E:  777
Output: Option D
Input: Question: A shopkeeper sells 400 metres of cloth for $18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?

 Option A: $20

 Option B: $43

 Option C: $50

 Option D: $70

 Option E: $40
Output: Option C
Input: Question: A person can swim in still water at 12 km/h. If the speed of water 6 km/h, how many hours will the man take to swim back against the current for 6km?

 Option A: 3

 Option B: 4

 Option C: 5

 Option D: 6

 Option E: 7
Output: Option D
Input: Question: If R persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?

 Option A: z

 Option B: x

 Option C: x/y

 Option D: z/x

 Option E: y/z
Output: Option E
Input: Question: Set S has a mean of 10 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?

 Option A: {9, 11}

 Option B: {2, 10}

 Option C: {10, 18}

 Option D: {7, 13}

 Option E: {16, 16}
Output: Option A
Input: Question: A school having four classes only have student strength of 10, 20, 30 and 40 respectively. The pass percentages of these classes are 80%, 30%, 60% and 90% respectively. What is the pass percentage for the entire school?

 Option A: 56%

 Option B: 76%

 Option C: 34%

 Option D: 68%

 Option E: 46%
Output: Option D
Input: 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
Input: Question: If Q is an odd number and the median of Q consecutive integers is 140, what is the largest of these integers?

 Option A: Q/2 + 139

 Option B: (Q - 1

 Option C: Q/2 + 140

 Option D: (Q + 139

 Option E: (Q + 140
Output: Option B
Input: Question: According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 120 six-ounce servings of orange juice?

 Option A: 12

 Option B: 15

 Option C: 18

 Option D: 21

 Option E: 24
Output: Option B
Input: Question: Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 50°C, what is the temperature of the pot of water in °F?

 Option A: 101°F

 Option B: 108°F

 Option C: 116°F

 Option D: 122°F

 Option E: 127°F
Output: Option D
Input: Question: The list price of an article is Rs.70. A customer pays Rs.61.74 for it. He was given two successive discounts, one of them being 10%. The other discount is?

 Option A: 8%

 Option B: 7%

 Option C: 10%

 Option D: 2%

 Option E: 4%
Output: Option D
Input: Question: A and B complete a work in 4 days. A alone can do it in 6 days. If both together can do the work in how many days?

 Option A: 3.75 days

 Option B: 3.7 days

 Option C: 3.6 days

 Option D: 2.4 days

 Option E: 5.75 days
Output: Option D
Input: Question: Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n.
What is the value of 34~ ?

 Option A: 6

 Option B: 1

 Option C: 2

 Option D: 0

 Option E: 31
Output: Option D
Input: Question: Which of the following must be an integer if the integer x is divisible by both 18 and 24?

 Option A: x/252

 Option B: x/189

 Option C: x/126

 Option D: x/108

 Option E: x/72
Output: Option E
Input: Question: If n = 2ef, where e and f are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ?

 Option A:  Two

 Option B:  Three

 Option C:  Four

 Option D:  Six

 Option E:  Eight
Output: Option C
Input: Question: Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 4 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 9 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?

 Option A: 60

 Option B: 72

 Option C: 84

 Option D: 90

 Option E: 216
Output: Option E
Input: Question: The average age of a husband and his wife was 23 years at the time of their marriage.After five years they have a one year old child.The average age of the family now is

 Option A: 19 years

 Option B: 23 years

 Option C: 28.5 years

 Option D: 29.3 years

 Option E: 19.3 years
Output: Option A
Input: Question: A 60 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?

 Option A: 35

 Option B: 20

 Option C: 17

 Option D: 36

 Option E: 30
Output: Option C
Input: Question: If (x + 1) times (2x + 3) is an odd integer, then x must be:

 Option A: an odd integer

 Option B: an even integer

 Option C: a prime number

 Option D: a composite number

 Option E: a negative integer
Output: Option B
Input: Question: After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?

 Option A: 2999

 Option B: 1689

 Option C: 5000

 Option D: 2789

 Option E: 2675
Output: Option C
Input: 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
Input: Question: Sandy walked 20 meters towards south. Then Sandy turned to her left and walked 20 meters. She then turned to her left and walked 20 meters. She then turned to her right and walked 20 meters. What distance is she from the starting point and in which direction?

 Option A: 20 m East

 Option B: 40 m North

 Option C: 30 m West

 Option D: 40 m East

 Option E: 20 m West
Output: Option D
Input: Question: If the price of rice rises from Rs. 6 per kg to Rs. 8 per kg, to have no increase in his expenditure on rice, a person will have to reduce his consumption of sugar by

 Option A: 25

 Option B: 62

 Option C: 27

 Option D: 19

 Option E: 71
Output: Option A
Input: Question: If the sum of n terms of two series in A.P. are in the ratio (5n + 4) : (9n + 6) then find the ratio of their 13th terms.

 Option A: 129/139

 Option B: 129/1378

 Option C: 129/136

 Option D: 129/134

 Option E: 129/131
Output: Option E
Input: Question: Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes V, each draining water at the same constant rate, will be needed to drain the pool in 4 days?

 Option A:  6

 Option B:  9

 Option C:  10

 Option D:  12

 Option E:  15
Output: Option C
Input: Question: In X game of billiards, X can give Y 10 points in 60 and he can give Z 30 points in 60. How many points can Y give Z in X game of 100?

 Option A: 30

 Option B: 20

 Option C: 25

 Option D: 40

 Option E: 50
Output: Option D
Input: Question: The sum of first five prime numbers is:

 Option A: 28

 Option B: 29

 Option C: 24

 Option D: 22

 Option E: 43
Output: Option A
Input: Question: Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 20 years?

 Option A: 30

 Option B: 35

 Option C: 40

 Option D: 50

 Option E: 60
Output: Option C
Input: Question: An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time S will it take to fill the bucket to full capacity?

 Option A: 7/18

 Option B: 9/18

 Option C: 2

 Option D: 18/7

 Option E: 18/5
Output: Option D
Input: Question: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages?

 Option A: 16, 26, 36

 Option B: 16, 28, 36

 Option C: 16, 28, 38

 Option D: 16, 28, 32

 Option E: 16, 28, 30
Output: Option B
Input: Question: From a number of mangoes, a man sells half the number of existing mangoes plus 1 to the first customer, then sells 1/3rd of the remaining number of mangoes plus 1 to the second customer, then 1/4th of the remaining number of mangoes plus 1 to the third customer and 1/5th of the remaining number of mangoes plus 1 to the fourth customer. He then finds that he does not have any mangoes left. How many mangoes did he have originally?

 Option A: 12

 Option B: 14

 Option C: 15

 Option D: 13

 Option E: 16
Output: Option B