loafeihong/math_mmlu_format huggingface dataset:
A sum of money is to be distributed among P, Q, and R in the ratio 6:19:7. If R gives Rs. 200 from his share to Q, the ratio of P, Q and R becomes 3:10:3, what is the total sum? Answer Choice: (A) Rs. 4800 (B) Rs. 12800 (C) Rs. 3200 (D) Rs. 7200 (E) data inadequate
Answer: A
The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons? Answer Choice: (A) 288 (B) 278 (C) 297 (D) 176 (E) 267
Answer: D
An army’s recruitment process included N rounds of selection tasks. For the first A rounds, the rejection percentage was 60 percent per round. For the next B rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. If there were 100000 people who applied for the army and 1400 were finally selected, what was the value of N? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 8 (E) 10
Answer: C
If x=-3, which of the following is(are) true? I. x^2=-|x| II |x|=-x III x/-3 = -1 Answer Choice: (A) II, III only (B) II only (C) I,II only (D) I only (E) III only
Answer: B
A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow? Answer Choice: (A) 2/81 (B) 2/91 (C) 1/81 (D) 1/91 (E) 1/51
Answer: B
A trucking company plans to gradually replace their older fleet of trucks with newer more energy efficient ones. Every year it plans to retire 6 trucks and buy 8 newer ones. How many years starting from 2005 will it take to reduce its fleet of 40 old trucks to less than half its fleet? Answer Choice: (A) 8 (B) 2 (C) 5 (D) 6 (E) 3
Answer: E
A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 35 percent of the pack would be outfielder cards? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: E
A can do a piece of work in 4 days. B can do it in 15 days. With the assistance of C they completed the work in 24 days. Find in how many days can C alone do it? Answer Choice: (A) 0.391 days (B) 0.491 days (C) 0.331 days (D) 1.391 days (E) 0.301 days
Answer: A
what is the compound interest on rs:70,000 for 4 months at the rate of 5% per annum Answer Choice: (A) 1171.98 (B) 1172.98 (C) 1173.98 (D) 1174.98 (E) 1175.98
Answer: C
A bus trip of 660 miles would have taken 1 hour less if the average speed V for the trip had been greater by 5 miles per hour. What was the average speed V, in miles per hour, for the trip? Answer Choice: (A) 40 (B) 45 (C) 50 (D) 55 (E) 60
Answer: D
A worker's daily wage is increased by 50% and the new wage is $51 per day. What was the worker's daily wage before the increase? Answer Choice: (A) $28 (B) $32 (C) $34 (D) $35 (E) $40
Answer: C
A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year? Answer Choice: (A) 5578 (B) 5552 (C) 5550 (D) 5528 (E) 5598
Answer: C
Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 70 ps per meter is? Answer Choice: (A) 287 (B) 369 (C) 175 (D) 279 (E) 361
Answer: C
The average of five integers is 56, and none of these integers is greater than 100. If the average of three of the integers is 59, what is the least possible value of one of the other two integers? Answer Choice: (A) 3 (B) 15 (C) 20 (D) 21 (E) 30
Answer: A
The average (arithmetic mean) of seven numbers is 7. If 4 is subtracted from each of three of the numbers, what is the new average? Answer Choice: (A) 4.2 (B) 6.3 (C) 5.2 (D) 7.9 (E) 8.3
Answer: C
If y = 30p, and p is prime, what is the greatest common factor of y and 14p, in terms of p? Answer Choice: (A) p (B) 2p (C) 5p (D) 7p (E) p^2
Answer: B
A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train? Answer Choice: (A) 72 (B) 67 (C) 108 (D) 26 (E) 27
Answer: C
Two trains are running in opposite directions with the same speed. If the length of each train is 60 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is: Answer Choice: (A) 8 km/hr. (B) 32 km/hr. (C) 34 km/hr. (D) 18 km/hr. (E) 12 km/hr.
Answer: D
Find the value for m?
21(m + n) + 21 = 21(-m + n) + 21 Answer Choice: (A) 0 (B) -1 (C) 1 (D) 2 (E) 3
Answer: C
Excluding the stoppages, the speed of a bus is 48 km/hr and including the stoppages the speed of the bus is 12 km/hr. For how many minutes does the bus stop per hour? Answer Choice: (A) 45 min (B) 10 min (C) 12 min (D) 20 min (E) 18 min
Answer: A
rahul played weel in this season.his current batting averagge is 50.if he score 78 runs in today match.his batting average will become 54.how many matches had he played in this season. Answer Choice: (A) 8 (B) 10 (C) 9 (D) 6 (E) 5
Answer: D
If 4x - y = 32 and −x + 2y = 5, then what is the value of 3x + y? Answer Choice: (A) 37 (B) 3 (C) 15 (D) 52/7 (E) 60/7
Answer: A
Evaluate 2+22+222+2.22 Answer Choice: (A) 269.72 (B) 268.22 (C) 248.21 (D) 248.22 (E) 268.21
Answer: D
In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way? Answer Choice: (A) 7 sec (B) 8 sec (C) 9 sec (D) 6 sec (E) 1 sec
Answer: D
S = { 1,5,3,7}
T = { 4,5,6,7 }
what is the probability that x chosen from S and y chosen from T will result x*y = even Answer Choice: (A) 1/3 (B) 4/5 (C) 2/3 (D) 1/2 (E) 1/6
Answer: D
P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it? Answer Choice: (A) 4 (B) 8 (C) 12 (D) 16 (E) 18
Answer: B
In how many different ways can the letters of the word 'APPLE' be arranged? Answer Choice: (A) 10 ways (B) 20 ways (C) 30 ways (D) 60 ways (E) 40 ways
Answer: D
A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on
bicycle at 9 km/hr. What is the distance travelled on foot? Answer Choice: (A) 16 km (B) 14 km (C) 12 km (D) 10 km (E) None of these
Answer: A
15, 31, 63, 127, 255, ? Answer Choice: (A) 543 (B) 447 (C) 972 (D) 532 (E) 511
Answer: E
Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.? Answer Choice: (A) 9 (B) 12 (C) 15 (D) 17 (E) 19
Answer: B
What is the area of a square field whose diagonal of length 24 m? Answer Choice: (A) 240 sq m (B) 250 sq m (C) 200 sq m (D) 400 sq m (E) 800 sq m
Answer: A
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) 14, 2 (B) 16, 4 (C) 14, 8 (D) 14, 4 (E) 14, 1
Answer: D
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire? Answer Choice: (A) 6 (B) 8 (C) 5 (D) 3 (E) 9
Answer: E
A train 140 m long passes a man,running at 6 kmph in the direction opposite to that of the train,in 6 seconds.The speed of the train is Answer Choice: (A) 54 kmph (B) 60 kmph (C) 66 kmph (D) 72 kmph (E) 78 kmph
Answer: E
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.756 find the share of A. Answer Choice: (A) 240 (B) 388 (C) 288 (D) 277 (E) 122
Answer: C
In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 6 ounces of corn syrup, how many ounces of water does it contain? Answer Choice: (A) 15 (B) 30 (C) 45 (D) 60 (E) 90
Answer: E
If a, b, and c are consecutive even positive integers, which of the following could be equal to a + b + c ? Answer Choice: (A) 141 (B) 200 (C) 412 (D) 391 (E) 612
Answer: E
If |5x-10| = 100, then find the sum of the values of x? Answer Choice: (A) 1 (B) -2 (C) 3 (D) -3 (E) 4
Answer: C
What is the are of an equilateral triangle of side 16 cm? Answer Choice: (A) 64√6 (B) 64√9 (C) 64√4 (D) 64√3 (E) 64√2
Answer: D
Four packages have an average weight of 11.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 10 pounds? Answer Choice: (A) 11 (B) 11.5 (C) 13 (D) 15 (E) 16
Answer: E
If log(2a - 3b) = log a - log b, then a = Answer Choice: (A) 3b2/2b -1 (B) 3b/2b -1 (C) b2/2b + 1 (D) 3b2/2b + 1 (E) None of these
Answer: A
A and B start a business with Rs.5000 and Rs.7000 respectively. Hoe should they share their profits at the end of one year? Answer Choice: (A) 3:5 (B) 5:7 (C) 3:9 (D) 5:3 (E) 3:2
Answer: B
How many different three-digit multiples of 5 can be composed of digits 2, 3, 4, and 5 if none of the digits is repeated? Answer Choice: (A) 3 (B) 6 (C) 10 (D) 12 (E) 18
Answer: B
Which of the following is the lowest positive integer that is divisible by 7, 8, 9, 10, and 11? Answer Choice: (A) 27,720 (B) 29,940 (C) 31,960 (D) 33,970 (E) 35,890
Answer: A
A sum of money lent out at S.I. amounts to a total of $420 after 2 years and to $595 after a further period of 5 years. What was the initial sum of money that was invested? Answer Choice: (A) $310 (B) $320 (C) $330 (D) $340 (E) $350
Answer: E
5/9 of the part of the population in a villagae are males.if 30 % of the males are married.the percentage of unmarried females in the total population is.. Answer Choice: (A) 250/9% (B) 150/9% (C) 350/9% (D) 450/9% (E) 550/9%
Answer: A
Find the value of (50+ 20/90) × 90 Answer Choice: (A) 2520 (B) 3520 (C) 4520 (D) 1520 (E) 1750
Answer: C
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet? Answer Choice: (A) 338 (B) 378 (C) 200 (D) 298 (E) 122
Answer: C
A can complete a project in 30 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 10 days before completion of project, then in how many days the project will be completed? Answer Choice: (A) 18 (B) 19 (C) 20 (D) 21 (E) 22
Answer: C
If a sum of money doubles itself in 5 years at simple interest, the ratepercent per annum is Answer Choice: (A) 12 (B) 12.5 (C) 20 (D) 13.5 (E) 14
Answer: C
Mr. Smitherly leaves Cedar Rapids at 8:00 a.m. and drives north on the highway at an average speed of 50 km per hour. Mr. Dinkle leaves Cedar Rapids at 8:30 a.m. and drives north on the same highway at an average speed of 55 km per hour. Mr. Dinkle will Answer Choice: (A) overtake Mr. Smitherly at 10:30 a.m. (B) overtake Mr. Smitherly at 11:30 a.m. (C) overtake Mr. Smitherly at 1:30 p.m. (D) be 30 miles behind at 9:35 a.m. (E) never overtake Mr. Smitherly
Answer: C
A and B can do a piece of work in 12 days. With the help of C they finish the work in 3 days. C alone can do that piece of work in? Answer Choice: (A) 40 days (B) 2 days (C) 4 days (D) 8 days (E) 40 days
Answer: C
A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors? Answer Choice: (A) 2C7 * 10C6 (B) 2C7 * 17C5 (C) 2C7 * 10C5 (D) 2C9 * 10C5 (E) 2C7 * 30C5
Answer: C
In a bag, there are 6 brown, 4 blue and 10 orange pens. One pen is picked up randomly. What is the probability that it is neither brown nor blue? Answer Choice: (A) 1/4 (B) 1/5 (C) 1/3 (D) 1/2 (E) 3/4
Answer: D
A and B are walking with 25 kmph and 30 kmph. A is walking towards east and B is towards south. They both started at 7:00 A.M at what time they are 130 metres apart. Answer Choice: (A) 130m (B) 140m (C) 150m (D) 160m (E) 170m
Answer: A
Thefactor countof an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest E? Answer Choice: (A)  60 (B)  61 (C)  62 (D)  63 (E)  64
Answer: A
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.82. How much was lent at 5%? Answer Choice: (A) 899 (B) 866 (C) 878 (D) 800 (E) 877
Answer: D
How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board? Answer Choice: (A) 41 (B) 23 (C) 56 (D) 99 (E) 87
Answer: D
The sum of all the integers g such that -26 < g < 24 is Answer Choice: (A) 0 (B) -2 (C) -25 (D) -49 (E) -51
Answer: D
A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work? Answer Choice: (A) 18 (B) 99 (C) 77 (D) 62 (E) 12
Answer: A
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m? Answer Choice: (A) 57.5 m (B) 127.5 m (C) 150.7 m (D) 98.6 m (E) 95 m
Answer: B
The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is? Answer Choice: (A) 1:4 (B) 1:16 (C) 1:8 (D) 1:64 (E) 2:3
Answer: C
Let f(x) = x^2 + bx + c. If f(4) = 0 and f(-3) = 0, then b + c = Answer Choice: (A) 18 (B) 15 (C) -13 (D) -21 (E) -24
Answer: C
An accurate clock show 8 o’ clock in the morning. The hour hand then rotates by 90o. The time in the clock is: Answer Choice: (A) 9 o’clock (B) 10 o’ clock (C) 11 o’clock (D) 12 o’clock (E) 8 o’clock
Answer: C
If x is negative and y is positive, which of the following cannot be positive? Answer Choice: (A) xy (B) -xy (C) x/-y (D) x^2/y (E) x^4/y
Answer: A
Find large number from below question The difference of two numbers is 1395. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Answer Choice: (A) 1235 (B) 1345 (C) 1678 (D) 1767 (E) 1671
Answer: E
The average wages of a worker during a fortnight comprising 15 consecutive working days was $90 per day. During the first 7 days, his average wages was $87 per day and the average wages during the last 7 days was $90 per day. What was his wage on the 8th day? Answer Choice: (A) $83 (B) $90 (C) $92 (D) $97 (E) $111
Answer: E
There are 6561 balls out of them 1 is heavy. Find the min. no. of times the balls have to be weighedfor finding out the heavy ball. Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: E
A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is? Answer Choice: (A) 288 (B) 268 (C) 208 (D) 860 (E) 270
Answer: D
A train which has 250 m long, is running 40 kmph. In what time will it cross a person moving at 4 kmph in same direction ? Answer Choice: (A) 30 sec (B) 28 sec (C) 29 sec (D) 35 sec (E) 25 sec
Answer: E
If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2015) = ? Answer Choice: (A) 2016 (B) 2088 (C) 270 (D) 1881 (E) 1781
Answer: A
The positive integers y and z leave remainders of 2 and 3, respectively, when divided by 6. y > z. What is the remainder when y– z is divided by 6? Answer Choice: (A) 1 (B) 2 (C) 5 (D) 3 (E) 4
Answer: C
My watch was correct at noon, after which it started to lose 17 minutes per hour until six hours ago it stopped completely. It now shows the time as 2.52 pm. What time is it now? Answer Choice: (A) 11 pm (B) 10 pm (C) 01 am (D) 03 am (E) 09 pm
Answer: B
How many miles is 320km? Answer Choice: (A) 150miles (B) 175miles (C) 200miles (D) 225miles (E) 250miles
Answer: C
Kathleen can paint a room in 3 hours, and Anthony can paint an identical room in 5 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates? Answer Choice: (A) 8/15 (B) 4/3 (C) 15/8 (D) 9/4 (E) 15/4
Answer: E
Which of the following will not be a correct option for b given the equation: b = x/2 + y/2^4 + z/4^3, where x,y and z are each equal to 1 or 0. Answer Choice: (A) 1/4 (B) 1/16 (C) 9/32 (D) 1/32 (E) 3/32
Answer: E
Lindsay can paint a room in 8 hours at a constant rate. If Lindsay paints the room for 4 hours and Joseph paints the rest of the room, who works at 1/2 constant rate of Lindsay. How long will it take for Joseph alone to paint the rest of the room? Answer Choice: (A) 4hrs (B) 8hrs (C) 10hrs (D) 12hrs (E) 16hrs
Answer: B
If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office? Answer Choice: (A) 1 hour (B) 8 hour (C) 9 hour (D) 6 hour (E) 2 hour
Answer: A
Series D(n) is such that i*D(i) = j*D(j) for any pair of positive integers (i, j). If D(1) is a positive integer, which of the following is possible?
I. 2*D(100) = D(99) + D(98)
II. D(1) is the only integer in the series
III. The series does not contain negative numbers Answer Choice: (A) I only (B) II only (C) IIII only (D) IIIII only (E) I, IIIII
Answer: D
Product of two co-prime numbers is 117. Their L.C.M should be Answer Choice: (A) 222 (B) 117 (C) 278 (D) 767 (E) 298
Answer: B
A train 400m long takes 10 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train? Answer Choice: (A) A)175kmph (B) B)150kmph (C) C)162kmph (D) D)149kmph (E) E)100kmph
Answer: D
In the faculty of Reverse-Engineering, 100 second year students study numeric methods, 300 second year students study automatic control of airborne vehicles and 200 second year students study them both. How many students are there in the faculty if the second year students are approximately 40% of the total? Answer Choice: (A) 550 (B) 500 (C) 600 (D) 650 (E) 700
Answer: B
When Rahul was born, his father was 35 years older than his brother and his mother was 25 years older than his sister. If Rahul's brother is 5 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ? Answer Choice: (A) 11 years (B) 10 years (C) 12 years (D) 9 years (E) 8 years
Answer: C
If (x+3)^2/(3x+65)=2, then the difference between the two possible values of x is: Answer Choice: (A) 16 (B) 18 (C) 20 (D) 22 (E) 24
Answer: D
By selling an umbrella for Rs. 300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is? Answer Choice: (A) 7%. (B) 9%. (C) 8%. (D) 2%. (E) 3%.
Answer: C
Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4, 2/3 and 5/8, respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem? Answer Choice: (A) 1/16 (B) 7/8 (C) 9/64 (D) 5/64 (E) 3/64
Answer: A
A man invested Rs. 5050 in 5% stock at 99 and sold it when the price rose to Rs. 101. He invested the sale proceeds in 8% stock at 88. Find the change in man's income if the Brokerage is Rs. 2. Answer Choice: (A) 150 (B) 160 (C) 170 (D) 180 (E) 190
Answer: E
There are 24 students in Chadâ€™s class. He brought 30 cookies to pass out
for his birthday. How many cookies will each student get? Will there be
any cookies left over? Answer Choice: (A) 1-9 (B) 1-7 (C) 2-8 (D) 1-6 (E) 3-10
Answer: D
The cost of one photocopy is $0.02. However, a 25% discount is offered on orders of more than 100 photocopies. If Steve and Dinley have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies? Answer Choice: (A) $0.32 (B) $0.40 (C) $0.45 (D) $0.48 (E) $0.54
Answer: B
3log3(-5) = ? Answer Choice: (A) 1 (B) undentified (C) 3 (D) 7 (E) 5
Answer: B
Of the five numbers in a sequence, the first term is 5,000, and each of the following terms is 20% of the previous term. What is the value range of the five numbers? Answer Choice: (A) 4,992 (B) 9,750 (C) 9,975 (D) 9,984 (E) 10,736
Answer: A
In the first week of last month, Company X realized an average wholesale profit of $4284 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y’s sale price and cost per unit? Answer Choice: (A) $3 (B) $4 (C) $7 (D) $13 (E) $51
Answer: D
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 20%? Answer Choice: (A) 20% (B) 29% (C) 10% (D) 80% (E) 90%
Answer: A
Three models (S, T, and P) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model S, 17 cars of Model T, and 15 cars of Model P. What is the maximum number of cars of model S in any showroom ? Answer Choice: (A) 17 (B) 16 (C) 15 (D) 14 (E) 13
Answer: C
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 950 grams. Find the profit percent. Answer Choice: (A) 100/17% (B) 100/23% (C) 100/19% (D) 100/13% (E) None of these
Answer: C
If the speed of X kilometers per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters) Answer Choice: (A) 15x/18 (B) 6x/5 (C) 18x/5 (D) 60x (E) 3600000x
Answer: D
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at? Answer Choice: (A) 12 (B) 66 (C) 77 (D) 81 (E) 71
Answer: A
In an examination, 300 students appeared. Out of these students; 27 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed. Answer Choice: (A) 33 (B) 57 (C) 54 (D) 99 (E) 01
Answer: B
If grapes are 93% water and raisins are 16% water, then how many kilograms did a quantity of raisins, which currently weighs 8 kilograms, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.) Answer Choice: (A) 92 (B) 96 (C) 100 (D) 104 (E) 108
Answer: B
In an examination, there are 100 questions divided into three groups A, B and C such that each group contains at least one question. Each question in group A carries 1 mark, each question in group B carries 2 marks and each question in group C carries 3 marks. It is known that the questions in group A together carry at least 60% of the total marks.
If group B contains 23 questions, then how many questions are there in Group C? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: A
A person travelled from his house to office at 45km/hr and office to house at 55km/hr. Then find the average speed? Answer Choice: (A) 49km/hr (B) 49.5km/hr (C) 50km/hr (D) 50.5km/hr (E) 51km/hr
Answer: B
Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence? Answer Choice: (A) 22 (B) 77 (C) 26 (D) 96 (E) 51
Answer: D
Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 5 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.961. Find the cost of each ice-cream cup? Answer Choice: (A) 25 (B) 30 (C) 29 (D) 12 (E) 20
Answer: B