loafeihong/math_mmlu_format huggingface dataset:
Zayn is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 6 miles per hour and returns along the same route at an average speed of 8 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip up and down the mountain? Answer Choice: (A)  2.4 (B)  5.8 (C)  6.0 (D)  6.3 (E)  6.5
Answer: A
WHEN A PERSON SELLS TWO ITEMS $600 each, ONE AT A GAIN OF 20% AND OTHER AT A LOSS OF 20%.THEN THE SELLER INCURES A LOSS OR GAIN OF: Answer Choice: (A) 1% loss (B) no loss no gain (C) 4% loss (D) 2% gain (E) 5% gain
Answer: C
What is the smallest number which when diminished by 8, is divisible by 9, 6, 12 and 18? Answer Choice: (A) 50 (B) 45 (C) 44 (D) 60 (E) 65
Answer: C
Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following could be the sum of G and H Answer Choice: (A) 153 (B) 150 (C) 137 (D) 123 (E) 89
Answer: D
Five children — A, B, C, D and E — are going to sit in five chairs in a row. The children C & E have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children? Answer Choice: (A) 60 (B) 20 (C) 40 (D) 43 (E) 48
Answer: E
Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type? Answer Choice: (A) 6 days (B) 18 days (C) 21 days (D) 3 days (E) 13 days
Answer: B
A man invested Rs. 4940 in Rs. 10 shares quoted at Rs. 9.50. If the rate of dividend be 14%, his annual income is Answer Choice: (A) Rs.728 (B) Rs.648 (C) Rs.720 (D) Rs.622 (E) Rs.722
Answer: A
Twenty percent of the programmers in a startup company weigh 200 pounds or more. Twenty-five percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. What percent of the programmers in the startup company weigh between 100 and 200 pounds? Answer Choice: (A) 15% (B) 20% (C) 25% (D) 60% (E) 75%
Answer: D
At a dinner party, 4 people are to be seated around a circular table. Two seating arrangement are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group? Answer Choice: (A) 5 (B) 10 (C) 6 (D) 32 (E) 120
Answer: C
In an office in Singapore there are 60% female employees. 50 % of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1100 employees, then the no. of female employees who are computer literate ? Answer Choice: (A) 462 (B) 674 (C) 672 (D) 960 (E) None
Answer: A
Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $215 million, which represented 10 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars? Answer Choice: (A) 17,010 (B) 2,150 (C) 1,890 (D) 1,701 (E) 210
Answer: B
A box contains 3 blue marbles, 2 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue? Answer Choice: (A) 1/286 (B) 2/455 (C) 1/91 (D) 4/455 (E) None of these
Answer: A
If a sample of data has mean of 20 and SD of 3, which of the following values is more than 2 SDs from the mean? Answer Choice: (A) a. 12 (B) b. 14.5 (C) c. 17 (D) d. 23.5 (E) e. 25.5
Answer: A
The lowest number which should be added to 11390 so that the sum is exactly divisible by 7, 9, 10 and 12 is: Answer Choice: (A) 1010 (B) 2210 (C) 1250 (D) 1210 (E) 1110
Answer: D
A group consists of 8 men, 6 women and 4 children. In how many ways can 1 man , 2 woman and 2 child selected from the given group? Answer Choice: (A) 780 (B) 750 (C) 720 (D) 620 (E) 650
Answer: C
For all real numbers v, an operation is defined by the equation v* = v - v/3. If (v*)* = 16, then v= Answer Choice: (A) 30 (B) 33 (C) 36 (D) 39 (E) 42
Answer: C
how many such letters pairs r in word SMUGGLER having same no. of letters left between them in the word as they have in the series Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
How many words can be formed by using all letters of the word “MANFUL” Answer Choice: (A) 720 (B) 240 (C) 750 (D) 860 (E) 140
Answer: A
If the sum of two positive integers is 20 and the difference of their squares is 40, what is the product of the two integers? Answer Choice: (A) 108 (B) 99 (C) 128 (D) 135 (E) 143
Answer: B
The sum of the present ages of A, B, C is 39 years. Three years ago their ages were in the ratio 1:2:3. What is the present age of A? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: D
Three consecutive odd integers are in increasing order such that the sum of the last two integers is 17 more than the first integer. Find the three integers? Answer Choice: (A) 11,13,15 (B) 7, 2, 10 (C) 7, 9, 10 (D) 7, 9, 11 (E) 7, 9, 29
Answer: A
If n is an integer from 1 to 96, what is the probability for n*(n+1)*(n+2) being divisible by 8? Answer Choice: (A) a. 25% (B) b. 50% (C) c. 62.5% (D) d. 72.5% (E) e. 75%
Answer: C
If 2 : 9 :: x : 18, then find the value of x Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 5
Answer: C
If the area of a circle is 81pi square feet, find its circumference. Answer Choice: (A) 18 pi feet (B) 28 pi feet (C) 38 pi feet (D) 48 pi feet (E) 58 pi feet
Answer: A
One out of every 500 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 16 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment? Answer Choice: (A) 2,000 (B) 5,000 (C) 10,000 (D) 40,000 (E) 52,000
Answer: D
Kanul spent $80000 in buying raw materials, $30000 in buying machinery and 20% of the total amount he had as cash with him. What was the total amount? Answer Choice: (A) $135656 (B) $137500 (C) $134446 (D) $123265 (E) $124564
Answer: B
A TaTa company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 14 hrs and a machine of type S does the same job in 7 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used? Answer Choice: (A) 3 (B) 4 (C) 6 (D) 9 (E) 12
Answer: A
In one hour, a boat goes 6 km/hr along the stream and 2 km/hr against the stream. The speed of the boat in still water (in km/hr) is: Answer Choice: (A) 3 km/hr (B) 4 km/hr (C) 5 km/hr (D) 6 km/hr (E) 8 km/hr
Answer: B
Albert borrowed a total of $ 6000 from john and Charlie. He paid simple interest at the rate of 7 % Per yr and 9 % per yr respectively.At the end of three years he paid $ 1494 as total interest. What is the interest paid to Brian at the end of three years? Answer Choice: (A) 571 (B) 581 (C) 441 (D) 445 (E) 631
Answer: C
A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 5 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely? Answer Choice: (A) 4 min. to empty (B) 6 min. to full (C) 9 min. to empty (D) 9 min. to full (E) 8 min. to full
Answer: A
A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target? Answer Choice: (A) 256/175 (B) 451/784 (C) 125/487 (D) 148/546 (E) 175/256
Answer: E
A can do a piece of work in 5 days and B can do it in 7 days how long will they both work together to complete the work? Answer Choice: (A) 6/11 (B) 8/11 (C) 7/12 (D) 9/12 (E) 10/11
Answer: D
Fourteen people are planning to share equally the cost of a rental van. If one person withdraws from the arrangement and the others share equally the cost of the rental van, then the share of each of the remaining people will increase by...? Answer Choice: (A) 1/15 (B) 1/14 (C) 1/13 (D) 13/14 (E) 14/13
Answer: C
If (q-5)(y+2) = 0 which of the following must be true? Answer Choice: (A)  q = y (B)  q > y (C)  q < y (D)  qy = -10 (E)  None of the above
Answer: E
A $72.95 lawn chair was sold for $59.95 at a special sale. By approximately what percent was the price decreased? Answer Choice: (A) 18% (B) 20% (C) 25% (D) 60% (E) 80%
Answer: A
6% of a towns eligible voters did not vote in a recent election. If 30 of the towns eligible voters did not vote, how many did vote? Answer Choice: (A) 470 (B) 500 (C) 440 (D) 400 (E) 530
Answer: A
Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 3 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter? Answer Choice: (A) 1/3 (B) 2/5 (C) 3/10 (D) 7/15 (E) 9/25
Answer: D
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460? Answer Choice: (A) 14029 (B) 14027 (C) 11867 (D) 14000 (E) 14020
Answer: D
The difference of two numbers is 1515. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ? Answer Choice: (A) A)270 (B) B)280 (C) C)290 (D) D)300 (E) E)310
Answer: D
Two brother X and Y appeared for an exam. The probability of selection of X is 1/3 and that of B is 2/7. Find the probability that both of them are selected. Answer Choice: (A) 2/69 (B) 2/21 (C) 2/23 (D) 2/29 (E) 2/10
Answer: B
The product of three consecutive numbers is 720. Then the sum of the smallest two numbers is ? Answer Choice: (A) 11 (B) 15 (C) 17 (D) 38 (E) 56
Answer: C
find the number of 5 digits numbers can be formed using the digits 1,2,3,4,5 if no digit is reapeted and two adjoint digits are not together Answer Choice: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15
Answer: B
Twelve men and six women together can complete a piece of work in four days. The work done by a women in one day is half the work done by a man in one day. If 12 men and six women started working and after two days, six men left and six women joined, then in hoe many more days will the work be completed? Answer Choice: (A) 2 (1/8) days (B) 2 (1/6) days (C) 3 (1/2) days (D) 2 (1/2) days (E) 2 (5/2) days
Answer: D
At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 232 students study Scramjet rocket engines and 114 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering? Answer Choice: (A) 438 (B) 436 (C) 430 (D) 442 (E) 444
Answer: C
If 2 : 9 :: x : 18, then find the value of x Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: C
How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together? Answer Choice: (A) 56 (B) 72 (C) 48 (D) 60 (E) 59
Answer: B
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? Answer Choice: (A) 6days (B) 5days (C) 4days (D) 3days (E) 2days
Answer: A
Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability q that the World Series will consist of fewer than 7 games? Answer Choice: (A)  12.5% (B)  25% (C)  31.25% (D)  68.75% (E)  75%
Answer: D
A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be? Answer Choice: (A) 15 m,80 m (B) 15 m,18 m (C) 15 m,60 m (D) 15 m,10 m (E) 15 m,40 m
Answer: D
A man whose bowling average is 22.2, takes 4 wickets for 36 runs and thereby decreases his average by 1.2. The number of wickets, taken by him before his last match is : Answer Choice: (A) 14 (B) 22 (C) 38 (D) 40 (E) 50
Answer: D
John read the quarter of the time that Tom read. Tom read only two-fifth of the time that Sasha read. Sasha read twice as long as Mike. If Mike read 5 hours, how long did John read? Answer Choice: (A) 4 h (B) 3 h (C) 2 h (D) 6 h (E) 1 h
Answer: E
Find the average of first 25 natural numbers? Answer Choice: (A) 12 (B) 16 (C) 13 (D) 18 (E) 19
Answer: C
Seventy five percent of a number is 21 less than four fifth of that number. What is the number ? Answer Choice: (A) 240 (B) 340 (C) 420 (D) 130 (E) 125
Answer: C
A retailer sells 5 shirts. He sells first 2 shirts for $30 and $20. If the retailer wishes to sell the 5 shirts for an overall average price of over $30, what must be the minimum average price of the remaining 3 shirts? Answer Choice: (A) $28.50 (B) $30.50 (C) $33.33 (D) $40.50 (E) $50.00
Answer: C
Two good train each 750 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km /hr respectively. Find the time taken by the slower train to pass the driver of the faster one. Answer Choice: (A) 12 sec (B) 24 sec (C) 48 sec (D) 72 sec (E) None
Answer: D
One litre of water is evaporated from 6 litre of a solution containing 5% salt. The percentage of salt ? Answer Choice: (A) 4 4/19% (B) 5 5/7% (C) 5% (D) 6% (E) None
Answer: D
A leak in the bottom of a tank can empty the full tank in 4 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold? Answer Choice: (A) 7580 (B) 7960 (C) 8290 (D) 2160 (E) None
Answer: D
One train leaves Los Angeles at 15mph heading for New York. Another train leaves from New York at 20mph heading for Los Angeles on the same track. If a bird, flying at 25mph, leaves from Los Angeles at the same time as the train and flies back and forth between the two trains until they collide, how far will the bird have traveled? Answer Choice: (A) 5L/7 miles (B) 4L/7 miles (C) 3L/7 miles (D) 2L/7 miles (E) 6L/7 miles
Answer: A
If x and y are positive numbers and z = xy^2, a 60 percent increase in x and a 30 percent decrease in y would result in which of the following changes in z? Answer Choice: (A) decrease of 12.5% (B) decrease of 21.6% (C) increase of 4.8% (D) increase of 12.5% (E) increase of 24.3%
Answer: B
The probability that a computer company will get a computer hardware contract is 2/3 and the probability that it will not get a software contract is 5/9. If the probability of getting at least one contract is 4/5, what is the probability that it will get both the contracts ? Answer Choice: (A) 14/45 (B) 4/9 (C) 4/5 (D) 4/6 (E) None of these
Answer: A
The ratio between the present ages of A and B is 7:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago? Answer Choice: (A) 3:4 (B) 3:0 (C) 9:1 (D) 9:2 (E) 3:9
Answer: C
If 47.5% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class? Answer Choice: (A) 110 (B) 330 (C) 550 (D) 462 (E) 880
Answer: D
From the integer n, if n*n*n is odd, then what is true from below options? Answer Choice: (A) n*n is odd (B) n is even (C) n is odd (D) n*n is even (E) n is odd and n*n is even
Answer: E
Anil started a business with Rs.5000 and Rajesh joined afterwards with Rs.10,000. If profit at the end of the year is divided equally, then when did Rajesh join him? Answer Choice: (A) 6 months afterwards (B) 8 months afterwards (C) 9 months afterwards (D) 5 months afterwards (E) None
Answer: A
Two consultants can type up a report in 12.5 hours and edit it in 7.5 hours. If Mary needs 30 hours to type the report and Jim needs 12 hours to edit it alone, how many T hours will it take if Jim types the report and Mary edits it immediately after he is done? Answer Choice: (A) 41.4 (B) 34.1 (C) 13.4 (D) 12.4 (E) 10.8
Answer: A
The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ? Answer Choice: (A) 5 (B) 8 (C) 10 (D) 14 (E) 16
Answer: B
At Ram's firm's annual revenue grows twice as fast as its costs. In 2007 it operated at a $1000 loss, it broke even in 2008, and in 2009 its revenues were 44% higher than in 2007. If the firm's revenues and costs grew at a constant rate over this period, what was its profit in 2009? Answer Choice: (A) 700 (B) 1000 (C) 1300 (D) 1600 (E) 2000
Answer: C
A boat moves upstream at the rate of 1 km in 30 minutes and down stream 1 km in 12 minutes. Then the speed of the current is : Answer Choice: (A) 1.5 kmph (B) 2 kmph (C) 3 kmph (D) 2.5 kmph (E) 3.5 kmph
Answer: A
It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 3.5 cms, How much did it rain on Wednesday? Answer Choice: (A) 10.9 (B) 10.5 (C) 12.25 (D) 10.1 (E) 10.6
Answer: C
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train? Answer Choice: (A) 270 (B) 288 (C) 266 (D) 299 (E) 126
Answer: A
How many positive integers less than 22 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3? Answer Choice: (A) 14 (B) 17 (C) 12 (D) 11 (E) 10
Answer: B
a school has 11 maths 8 physics and 5 chemistry teachers each teacher can teach 3 subjects max what is he minimum number of teachers required Answer Choice: (A) 2 (B) 4 (C) 6 (D) 8 (E) 9
Answer: D
Find the odd man out. 16, 36, 121, 152, 169, 225, 289, 324 Answer Choice: (A) 324 (B) 289 (C) 225 (D) 169 (E) 152
Answer: E
Harish can paint a wall in just 3 hours. However it takes 6 hours for Ganpat to complete the same job of painting the wall.
How long would it take for both of them to paint the wall , if both work together ? Answer Choice: (A) 3 Hours (B) 1 Hours (C) 3.20 Hours (D) 2 Hours (E) 1.35 Hours
Answer: D
If 2 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution? Answer Choice: (A)  -7 (B)  -4 (C)  -5 (D)  1 (E)  6
Answer: C
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear? Answer Choice: (A) $2.50 (B) $5.00 (C) $5.50 (D) $7.50 (E) $15.00
Answer: B
A triangle has a perimeter 16. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side? Answer Choice: (A) 2 (B) 4 (C) 6 (D) 7 (E) 8
Answer: C
Larry and Daniel are partners in a business, they invested Rs. 50,000 and Rs. 39,000 respectively.If the business yielded a total profit of Rs. 21,000, what is Daniel's share? Answer Choice: (A) 9402.25 (B) 9272.25 (C) 9982.25 (D) 9211.25 (E) 9202.25
Answer: E
If a·b·c·d=360, where a, b, c and d are positive integers, and a<b<c<d, which of the following could be the value of d−a? Answer Choice: (A) 9 (B) 10 (C) 11 (D) 13 (E) 15
Answer: B
The maximum number of students among them 1008 pens and 928 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils? Answer Choice: (A) 16 (B) 18 (C) 36 (D) 19 (E) 32
Answer: A
Every student in a room is either a junior or a senior. There is at least one junior and at least one senior in the room. If 1/2 of the juniors is equal to 2/3 of the seniors, what fraction of the students in the room are juniors? Answer Choice: (A) 4/7 (B) 1/3 (C) 5/3 (D) 12/7 (E) 17/20
Answer: A
For any non-zero a and b that satisfy |ab| = ab and |a| = -a, |b-5| + |ab+b| = Answer Choice: (A) ab-4 (B) 2b-ab-4 (C) ab+4 (D) ab-2b+4 (E) 4+2ab
Answer: E
Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage. Answer Choice: (A) 16.8% (B) 17.4% (C) 17.9% (D) 18.5% (E) 19.1%
Answer: B
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%? Answer Choice: (A) 16 2/7% (B) 16 6/3% (C) 16 2/3% (D) 16 1/3% (E) 12 2/3%
Answer: C
Jen has a jar of jam, and she ate 1/3 of the jam for lunch. If Jen ate 1/7 of the remaining jam for dinner, what fraction of the jam was left after dinner? Answer Choice: (A) 2/7 (B) 3/7 (C) 4/7 (D) 9/14 (E) 11/14
Answer: C
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price? Answer Choice: (A) 62.5 (B) 62.6 (C) 62.1 (D) 62.7 (E) 62.2
Answer: A
In a two digit number, the digit in the units place is two times the digit in ten's place and sum of the digits is equal to 12. What is the number? Answer Choice: (A) 25 (B) 28 (C) 32 (D) 36 (E) 48
Answer: E
Two whole numbers whose sum is 40 cannot be in the ratio Answer Choice: (A) 4:10 (B) 2:3 (C) 1:3 (D) 2:4 (E) 3:5
Answer: D
The integers from 1 to 1851 are entered sequentially in 12 columns (numbered 1 to 12); i.e. Row 1 contains the numbers 1 to 12, Row 2 contains the next 12 numbers and so on. If the number 1369 occurs in row p and column q, then the value of p + q is Answer Choice: (A) 114 (B) 115 (C) 116 (D) 117 (E) 118
Answer: C
For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *6 + 3 and *6 + 6, inclusive? Answer Choice: (A)  One (B)  None (C)  Two (D)  Three (E)  Four
Answer: B
At 5% per annum simple interest, Rahul borrowed Rs. 500. What amount will he pay to clear the debt after 4 years Answer Choice: (A) 750 (B) 700 (C) 650 (D) 600 (E) None of these
Answer: D
A man swims downstream 51 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water? Answer Choice: (A) 2 (B) 8.5 (C) 9.5 (D) 6.5 (E) 11.5
Answer: E
Convert 400 miles into meters? Answer Choice: (A) 784596 (B) 845796 (C) 804670 (D) 784596 (E) 643736
Answer: E
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream? Answer Choice: (A) 3:7 (B) 3:6 (C) 3:1 (D) 3:2 (E) 3:5
Answer: C
Rani started a business investing Rs. 10,000. Roja joined him after six months with an amount of Rs. 35,000 and Sachin joined them with Rs. 70,000 after another six months. The amount of profit earned should be distributed in what ratio among Rani, Roja and Sachin respectively, 3 years after started the business ? Answer Choice: (A) 7:6:10 (B) 12:15:16 (C) 42:45:56 (D) None of these (E) 12 : 35 : 56
Answer: E
How many different 6-letter sequences are there that consist of 1A, 20B's and 15C's ? Answer Choice: (A) 6 (B) 60 (C) 120 (D) 360 (E) 720
Answer: D
In an examination 60% failed in Math and 40% failed in French. If 10% failed in both. What % of students passed in both. Answer Choice: (A) 25% (B) 15% (C) 20% (D) 30% (E) 10%
Answer: E
Which of the following is(are) true for a@b=b@a?
I. a@b=ab+ba
II. a@b=(a+b)(a-b-1)
III. a@b=(a/b)+(b/a) Answer Choice: (A) only Ⅰ (B) only Ⅱ (C) only Ⅲ (D) only ⅠⅢ (E) only ⅡⅢ
Answer: E
The diagonals of two squares are in the ratio of 2 : 5. Find the ratio of their areas. Answer Choice: (A) 3:7 (B) 2:7 (C) 3:5 (D) 5:2 (E) 4:25
Answer: E
A volume of 10976 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres? Answer Choice: (A) 2812 (B) 8231 (C) 2734 (D) 2744 (E) 4254
Answer: D
576, 529, 484, 441, 400, ? Answer Choice: (A) 324 (B) 361 (C) 289 (D) 256 (E) 225
Answer: B
A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained? Answer Choice: (A) 9:1 (B) 9:8 (C) 9:0 (D) 9:5 (E) 9:2
Answer: A