loafeihong/math_mmlu_format huggingface dataset:
A car takes 6 hours to cover a distance of 450 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Answer Choice: (A) 60 (B) 50 (C) 40 (D) 70 (E) 65
Answer: B
If a and b are digits, and the number a,11b is evenly divisible by 88, what are the values of a and b? Answer Choice: (A) a = b = 9 (B) a = b = 7 (C) a = b = 5 (D) a = b = 2 (E) a = b = 1
Answer: D
Fom the integer n, if n*n*n is odd, then what is true from below options? Answer Choice: (A) n is odd and n*n is even (B) n*n is odd (C) n is even (D) n is odd (E) n*n is odd
Answer: A
At what price must an article costing Rs.47.50 be marked in order that after deducting 8% from the list price. It may be sold at a profit of 25% on the cost price? Answer Choice: (A) 62.5 (B) 62.3 (C) 62.7 (D) 62.2 (E) 64.5
Answer: E
The sum of three consecutive even numbers multiples of 3 is 72. what is the largest number ? Answer Choice: (A) 21 (B) 24 (C) 27 (D) 36 (E) None
Answer: C
The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is? Answer Choice: (A) 1: 8 (B) 1: 6 (C) 1: 9 (D) 1: 3 (E) 1: 2
Answer: C
Seller selling an apple for Rs.17, a Seller loses 1/6th of what it costs him. The CP of the apple is? Answer Choice: (A) 10 (B) 12 (C) 18 (D) 19 (E) 20
Answer: C
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 25%? Answer Choice: (A) 20% (B) 26% (C) 42% (D) 27% (E) 12.5%
Answer: E
A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 1/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 30 vehicles that are not Speedsters, how many Speedster convertibles are there? Answer Choice: (A) 13 (B) 18 (C) 12 (D) 15 (E) 17
Answer: C
A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively? Answer Choice: (A) 6 (B) 5 (C) 3 (D) 4 (E) 9
Answer: D
The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N. Answer Choice: (A) 197 (B) 198 (C) 199 (D) 200 (E) 201
Answer: A
Richard began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after Richard? Answer Choice: (A) 35 (B) 55 (C) 39 (D) 40 (E) 60
Answer: A
An bus covers a certain distance at aspeed of 210 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of? Answer Choice: (A) 560 km/h (B) 567 km/h (C) 779 km/h (D) 723 km/h (E) 630 km/h
Answer: E
what is the probability of getting atmost one head when Two unbiased coin are tossed ? Answer Choice: (A) 3/4 (B) 3/2 (C) 4/3 (D) 1/2 (E) 2/6
Answer: A
Pipe A fills a tank of capacity 850 liters at the rate of 40 liters a minute. Another pipe B fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. If pipe A is kept open for a minute and then closed and pipe B is open for a minute and then closed and then pipe C is open for a minute and then closed and the cycle is repeated, when will the tank be full? Answer Choice: (A) 42 minutes (B) 51 minutes (C) 39 minutes (D) 40 minutes 20 seconds (E) None of these
Answer: B
In a garden, there are yellow and green flowers which are straight and curved. If the probability of picking a green flower is 1/5 and picking a straight flower is 1/2, then what is the probability of picking a flower which is yellow and straight Answer Choice: (A) 1/7 (B) 1/8 (C) 2/5 (D) 3/4 (E) 7/8
Answer: C
You hold some gold in a vault as an investment. Over the past year the price of gold increases by 60%. In order to keep your gold in the vault, you must pay 10% of the total value of the gold per year. What percentage has the value of your holdings changed by over the past year. Answer Choice: (A) 45% (B) 46% (C) 50% (D) 55% (E) 44%
Answer: E
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is? Answer Choice: (A) 22 (B) 27 (C) 20 (D) 99 (E) 78
Answer: C
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives: Answer Choice: (A) Rs. 8400 (B) Rs. 11,900 (C) Rs. 13,600 (D) Rs. 14,700 (E) Rs. 13700
Answer: D
If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is? Answer Choice: (A) 26% (B) 23% (C) 85% (D) 45% (E) 25%
Answer: E
If the sum of two positive integers is 22 and the difference of their squares is 44, what is the product of the two integers? Answer Choice: (A) 108 (B) 119 (C) 120 (D) 135 (E) 143
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 18 seconds. Find the length of the train. Answer Choice: (A) 150 (B) 278 (C) 179 (D) 300 (E) 191
Answer: D
In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person in the party. Answer Choice: (A) 14 (B) 12 (C) 13 (D) 15 (E) 16
Answer: D
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. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was? Answer Choice: (A) 28,077 (B) 28,019 (C) 28,019 (D) 28,000 (E) 28,001
Answer: D
Of the diplomats who attended a summit conference: 20 spoke French, 32 did not speak Hindi and 20% of the diplomats spoke neither French nor Hindi. If 10% of the diplomats spoke both French and Hindi, then how many diplomats attended the conference? Answer Choice: (A) 70 (B) 96 (C) 108 (D) 120 (E) 150
Answer: D
if 6 coins are tossed simultaneously what is the probability of getting atleast four heads Answer Choice: (A) 11/32 (B) 12/32 (C) 13/32 (D) 15/32 (E) 19/32
Answer: A
The average of temperatures at noontime from Monday to Friday is 40; the lowest one is 30, what is the possible maximum range of the temperatures? Answer Choice: (A) 20 (B) 25 (C) 50 (D) 45 (E) 75
Answer: C
List L: ABC, BCA, CAB
In list L above, there are 5 positive integers, where each of A, B, and C is a different nonzero digit. Which of the following is the sum of all the positive integers that MUST be factors of the sum of the integers in list L? Answer Choice: (A) 47 (B) 114 (C) 152 (D) 161 (E) 488
Answer: D
One copy machine can make 30 copies a minute, and a second copy machine makes 20 copies a minute. If the two copiers work together, how long would it take them to make 2,000 copies? Answer Choice: (A) 20 minutes (B) 40 minutes (C) 45 minutes (D) 50 minutes (E) 55 minutes
Answer: B
if log 2 = 0.30103, the number of digits in 2128 is
. Answer Choice: (A) 38 (B) 39 (C) 40 (D) 41 (E) 56
Answer: B
The ratio of the present age of two brothers is 1:2 and 5 years back, the ratio was 1:3. What will be the ratio of their ages after 5 years? Answer Choice: (A) 3:9 (B) 3:0 (C) 3:5 (D) 3:2 (E) 3:1
Answer: C
There are 5,280 feet in 1 mile and 11 inches in one foot. How many inches are in a mile? Answer Choice: (A) 5,280 - 12 (B) 5,280/12 (C) 12(5,280) (D) 11(5,280) (E) 12/5,280
Answer: D
How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes? Answer Choice: (A) 256 (B) 24 (C) 12 (D) None of these (E) Cannot be determined
Answer: B
A reduction of 40% in the price of bananas would enable a man to obtain 60 more for Rs.40, what is reduced price per dozen? Answer Choice: (A) 1.2 (B) 2.2 (C) 3.2 (D) 4.2 (E) 5
Answer: C
A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 30%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available? Answer Choice: (A) 15% (B) 25% (C) 33.33% (D) 40% (E) 35%
Answer: A
If a drawing has an outer circle of diameter 30 and an inner circle of diameter 24, then what fraction of outer circle's surface is not covered by the inner circle? Answer Choice: (A) 3/6 (B) 8/24 (C) 14/16 (D) 9/25 (E) 2/3
Answer: D
1/2+[(2/9*9/32)+1]-9/16= Answer Choice: (A) 29/16 (B) 19/16 (C) 15/16 (D) 9/13 (E) 0
Answer: E
In a garden, there are yellow and green flowers which are straight and curved. If the probability of picking a green flower is 2/3 and picking a straight flower is 1/2, then what is the probability of picking a flower which is yellow and straight Answer Choice: (A) 1/6 (B) 1/8 (C) 1/4 (D) 3/4 (E) 7/8
Answer: A
Simple interest on a sum at 5% per annum for 2 years is Rs.140. The C.I. on the same sum for the same period is? Answer Choice: (A) 141.5 (B) 142.5 (C) 143.7 (D) 144.6 (E) 178.4
Answer: A
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is? Answer Choice: (A) 11.9 (B) 11.2 (C) 11.6 (D) 11.5 (E) 11.1
Answer: D
At what rate percent on simple interest will Rs.600 amount to Rs.950 in 5 years? Answer Choice: (A) 3.33% (B) 5.93% (C) 4.33% (D) 9.33% (E) 11.67%
Answer: E
At a garage sale, all of the items were sold at different prices. If the price of a radio sold at the garage sale was both the 16th highest price and the 23rd lowest price among the prices of the items sold, how many items were sold at the garage sale? Answer Choice: (A) 35 (B) 36 (C) 37 (D) 38 (E) 39
Answer: D
The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/72 of the area of the field. What is the length of the field? Answer Choice: (A) 73 (B) 32 (C) 34 (D) 43 (E) 96
Answer: E
If x is the product of three consecutive positive integers, which of the following must be true?
I. x is an integer multiple of 4.
II. x is an integer multiple of 3
III. x is an integer multiple of 6 Answer Choice: (A) a) I only (B) b) II only (C) c) I and II only (D) d) I and III only (E) e)II and III only
Answer: E
In a pond 100 fish were caught and examined for levels of mercury. Of this sample, 25 fish were found to have unhealthy levels of mercury. If we use this sample as an estimate, and we know the population of the pond to be 5,000 fish, what is the approximate number of fish in the pond that have healthy levels of mercury? Answer Choice: (A) 2,150 (B) 750 (C) 1,250 (D) 3,750 (E) 2,500
Answer: D
In a group of ducks and cows, the total number of legs are 12 more than twice the no. of heads. Find the total no.of buffaloes. Answer Choice: (A) 6 (B) 8 (C) 10 (D) 4 (E) 12
Answer: A
A shop owner sells 40 Pencils and gains SP of 15 pencils. Find the gain %? Answer Choice: (A) 55% (B) 40% (C) 50% (D) 60% (E) 78%
Answer: D
Peter read C books last year, and Nikki read N books last year. If Peter read 35 more books than Nikki last year, which of the following reflects this relationship? Answer Choice: (A) C > 35N (B) C < N − 35 (C) C > N + 35 (D) C = N − 35 (E) C = N + 35
Answer: E
How much did Rohit get as profit at the year-end in the business done by Nitin, Rohit and Kunal?
I.Kunal invested Rs. 8000 for nine months, his profit was times that of Rohit’s and his investment was four times that of Nitin.
II.Nitin and Rohit invested for one year in the proportion 1 : 2 respectively.
III.The three together got Rs. 1000 as profit at the year end. Answer Choice: (A) Only I and II (B) Only I and III (C) Question cannot be answered even with the information in all the three statements. (D) All I, II and III (E) None of these
Answer: D
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is? Answer Choice: (A) 1 kmph (B) 5 kmph (C) 8 kmph (D) 3 kmph (E) 4 kmph
Answer: A
How many different 6 letter combinations can be created from the letters A,B,C,D,E and F? Answer Choice: (A) 216 (B) 36 (C) 46656 (D) 1296 (E) 7776
Answer: C
man is 21 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is: Answer Choice: (A) 14years (B) 26 years (C) 19 years (D) 18 years (E) 22 years
Answer: C
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary? Answer Choice: (A) Rs. 17,000 (B) Rs. 20,000 (C) Rs. 25,500 (D) Rs. 38,000 (E) Rs. 35,000
Answer: D
A certain rectangular crate measures 12 feet by 16 feet by 18 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 8 (E) 10
Answer: D
The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.9. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur? Answer Choice: (A) 1/5 (B) 2/5 (C) 3/10 (D) 4/5 (E) 12/25
Answer: C
Shekhar started a business investing Rs.25,000 in 1999.In 2000,he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000.In 2001,Shekhar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000.What will be Rajeev’s share in the profit of Rs.1,20,000 earned at the end of 3 years from the start of the business in 1999 ? Answer Choice: (A) Rs.40,000 (B) Rs.50,000 (C) Rs.70,000 (D) Rs.75,000 (E) None of these
Answer: A
The slant height of a cone is 22 cm and radius of the base is 7cm, find the curved surface of the cone? Answer Choice: (A) 426 (B) 284 (C) 483 (D) 256 (E) 428
Answer: C
Set #1 = {A, B, C, D, E, F}
Set #2 = {K, L, M, N, O, P}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel? Answer Choice: (A) 1/6 (B) 1/3 (C) 1/2 (D) 2/3 (E) 4/9
Answer: E
99,998^2 - 2^2 = Answer Choice: (A) 10^10 - 2 (B) (10^5 – 2)^2 (C) 10^4(10^5 – 2) (D) 10^5(10^4 – 2) (E) 10^5(10^5 – 4)
Answer: E
If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 170 pounds. What is Leo's current weight? Answer Choice: (A) 80 (B) 86 (C) 92 (D) 98 (E) 104
Answer: D
In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 56 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp? Answer Choice: (A) 70 (B) 400 (C) 150 (D) 35 (E) 350
Answer: B
In six successive games, a baseball team scored 3 runs once, 6 runs twice, and 7 runs three times.
What was the average (arithmetic mean) number of runs the team scored per game over the six-game period? Answer Choice: (A) 8 (B) 7 (C) 6 (D) 5 (E) 4
Answer: C
If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is? Answer Choice: (A) 28% (B) 65% (C) 23% (D) 78% (E) 25%
Answer: E
I purchases perfume from a store and gave him a thousand rupee note.
The perfume cost Rs.300.
Since the store person have no change, he gets the change from next shop and return me 800 rupees.
After a while, the next shopkeeper comes and told the 1st shopkeeper that the note is a fraud and takes his money back.
How much loss does the 1st shopkeeper have to bear ? Answer Choice: (A) 4400 (B) 1300 (C) 1800 (D) 2500 (E) 1000
Answer: E
A man divides $8600 Among 5 Sons, 3 Daughters and 2 Nephews. If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews, how much does each daughter receive? Answer Choice: (A) A)$200 (B) B)$716.67 (C) C)$800 (D) D)$1200 (E) E)$400
Answer: B
If x+y=300, x-y=200, for integers of x and y, y=? Answer Choice: (A) 200 (B) 250 (C) 50 (D) 115 (E) 150
Answer: B
The sale price sarees listed for Rs.550 after successive discount is 18% and 12% is? Answer Choice: (A) 298 (B) 237 (C) 342 (D) 396 (E) 291
Answer: D
In a school 10% of the boys are same in number as 1/6th of the girls. what is the ratio of boys to the girls in the school? Answer Choice: (A) 5:3 (B) 2:3 (C) 1:4 (D) 3:7 (E) 2:5
Answer: A
A taxi charges u dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars. Answer Choice: (A) un – c/8(100) (B) cu + 4n-8/200 (C) u + (4cn-8c)/100 (D) u + 100cn/4 (E) 4cu(n-2) – 100
Answer: C
If the selling price of 10 articles is same as the cost price of 12 articles. Find the gain or loss percentage? Answer Choice: (A) 10% (B) 20% (C) 30% (D) 32% (E) None
Answer: B
Three numbers are in the ratio 2 : 3 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 48. Find the third number? Answer Choice: (A) A)24 (B) B)75 (C) C)48 (D) D)46 (E) E)63
Answer: A
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 2/7 % his yearly income diminishes by Rs.61.50. his capital is Answer Choice: (A) 22.378 (B) 87.86 (C) 246.0 (D) 78.88 (E) 127.71
Answer: B
Find the least number of five digits which is exactly divisible by 12, 15 and 18? Answer Choice: (A) 1080 (B) 10080 (C) 10025 (D) 11080 (E) 12080
Answer: B
For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive. How many prime numbers W are there between 6* + 2 and 6* + 6, inclusive? Answer Choice: (A) None (B) One (C) Two (D) Three (E) Four
Answer: A
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%? Answer Choice: (A) 600 (B) 277 (C) 269 (D) 261 (E) 281
Answer: A
On his first 4 tests, John received an average score of X points. If on his fifth test, he exceeds his previous average score by 30 points, what is his average score for his first 5 tests? Answer Choice: (A) X +6 (B) X +5 (C) X +4 (D) X (E) X +10
Answer: A
A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 3 years ago? Answer Choice: (A) 11 (B) 10 (C) 12 (D) 14 (E) 16
Answer: A
What is the ratio of Arun's monthly income in the year 2006, Suman's monthly income in the year 2007 and Jyothi's monthly income in the year 2005? Answer Choice: (A) 22 (B) 67 (C) 26 (D) 18 (E) 16
Answer: A
The sum of two numbers is 80. Their difference is 10. The bigger number is Answer Choice: (A) 20 (B) 25 (C) 30 (D) 35 (E) 45
Answer: E
A square with sides of 15 units each. What would be the area of the square. Consider a square as a combination of two right angled triangles. Answer Choice: (A) 100 (B) 256 (C) 225 (D) 81 (E) 144
Answer: C
4 men can check exam papers in 8 days working 5 hours regularly. What is the total hours when 2 men will check the double of the papers in 20 days? Answer Choice: (A) 8 (B) 9 (C) 6 (D) 1 (E) 5
Answer: A
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 75, the runs scored by B are? Answer Choice: (A) 10 (B) 18 (C) 16 (D) 14 (E) 15
Answer: B
Which is the least number that must be subtracted from 1100 so that the remainder when divided by 7, 12, 16 is 4? Answer Choice: (A) 58 (B) 68 (C) 78 (D) 88 (E) 90
Answer: D
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together? Answer Choice: (A) 680 (B) 700 (C) 720 (D) 800 (E) 820
Answer: C
On average, Machine A will produce a completed item once every six minutes, and Machine B will produce a completed item once every ten minutes. The number of items Machine A produces in a 24-hour period is approximately what percent greater than the number of items Machine B would produce in that same period? Answer Choice: (A) 100%% (B) 67% (C) 25% (D) 125% (E) 20%
Answer: B
What inequality represents the condition 1<x<8? Answer Choice: (A) |x|<3 (B) |x+5|<4 (C) |x-9/2|<7/2 (D) |-5+x|<4 (E) |3+x|<5
Answer: C
. In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 55 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ? Answer Choice: (A)  50% (B)  53% (C)  54% (D)  41% (E)  57%
Answer: D
A meal cost $ 37.25 adn there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be: Answer Choice: (A) 42-45 (B) 41-43 (C) 39-41 (D) 37-39 (E) 36-37
Answer: B
sue has 3 apples. Billy has 5 apples. If billy steals all of sues apples and eats 2 how many does he have left? Answer Choice: (A) 2 (B) 5 (C) 6 (D) 4 (E) 8
Answer: C
If n + 15 is a positive odd integer, which of the following must be true about the sum of the next four integers? Answer Choice: (A) It is a multiple of 3 (B) It is a multiple of 4 (C) It is a prime number (D) It is a multiple of 5 (E) It is a multiple of 2
Answer: B
In a certain game of dice, the player’s score is determined as a sum of three throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If Jim plays this game against 24 other players, what is the probability of the minimum score that will guarantee Jim some monetary payoff? Answer Choice: (A) 1/216 (B) 1/221 (C) 1/212 (D) 1/84 (E) 1/42
Answer: A
A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 6 feet and a height of 10 feet, how far (in feet) did the oil level drop in the stationary tank? Answer Choice: (A) 0.036 (B) 0.36 (C) 0.6 (D) 6 (E) 3.6
Answer: A
Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in t hours. In terms of x and t, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails? Answer Choice: (A) x/(x+y) (B) y/(x+y) (C) xy/(x+y) (D) xy/(x-y) (E) xt/(t-x)
Answer: E
The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 15th student is Answer Choice: (A) 11 (B) 15 (C) 6 (D) 8 (E) 76
Answer: A
On a certain farm the ratio of horses to cows is 4:1. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 13:7. After the transaction, how many more horses than cows would the farm own? Answer Choice: (A) 30 (B) 60 (C) 75 (D) 90 (E) 105
Answer: A
Length and Breadth of a rectangle is 7 m and 3.5 m respectively. Find the area of circle of maximum radius Answer Choice: (A) 9.625 (B) 9.74 (C) 9.8 (D) 9.725 (E) 9.547
Answer: A
How many integers between 1 and 10^17 are such that the sum of their digits is 2? Answer Choice: (A) 133 (B) 143 (C) 153 (D) 163 (E) 173
Answer: C
If the productivity of a brigade grows by 30% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade? Answer Choice: (A) 0.21 (B) 0.82 (C) 1.2 (D) 1.21 (E) 1.41
Answer: E
There are 25 doors marked with numbers 1 to 25. And there are 25 individuals marked 1 to 25.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All doors are closed to start with.
Now one at a time one randomly picked individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For e.g. individual marked with number 5 operates the doors marked with the following numbers: 5, 10, 15,20 and 25.
If every individual in the group get one turn then how many doors are open at the end? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 4 (E) 5
Answer: E