loafeihong/math_mmlu_format huggingface dataset:
If 10 gallons of grape juice are added to 40 gallons of a mixture, which contains 10 percent grape juice then what percent of the resulting mixture is grape juice? Answer Choice: (A) 14% (B) 25% (C) 28% (D) 34% (E) 50%
Answer: C
What will be the compound interest on Rs. 45000 after 3 years at the rate of 12 % per annum Answer Choice: (A) Rs 18221.76 (B) Rs 18123.30 (C) Rs 18123.40 (D) Rs 18123.50 (E) None of these
Answer: A
A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.6 million vehicles in 2006, how many vehicles, to the nearest 1,000, did the manufacturer sell in 2007? Answer Choice: (A) 63,000 (B) 2,000,000 (C) 2,030,000 (D) 2,040,000 (E) 2,300,000
Answer: A
If xy = 5 and x^2 + y^2 = 14, then x/y + y/x = Answer Choice: (A) 2 4/5 (B) 3 1/7 (C) 5 1/3 (D) 7 (E) 60
Answer: A
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is: Answer Choice: (A) 9 (B) 11 (C) 13 (D) 15 (E) 12
Answer: D
Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle? Answer Choice: (A) 10 (B) 99 (C) 88 (D) 77 (E) 66
Answer: A
The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field? Answer Choice: (A) 20 (B) 27 (C) 26 (D) 188 (E) 11
Answer: A
A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is? Answer Choice: (A) 10 (B) 20 (C) 50 (D) 30 (E) 40
Answer: A
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A? Answer Choice: (A) 7219 (B) 3000 (C) 2799 (D) 2797 (E) 2788
Answer: B
S1 = 3 S2 = 6 ... Sn = 3n + 4 For the sequence above, in which any term n is defined as 3n + 4, what is the value of n for the first term in the sequence to exceed 50? Answer Choice: (A) 13 (B) 16 (C) 12 (D) 9 (E) 8
Answer: B
The smallest 3 digit prime number is? Answer Choice: (A) 101 (B) 102 (C) 110 (D) 112 (E) 113
Answer: A
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is? Answer Choice: (A) 4/16 (B) 4/10 (C) 4/11 (D) 4/13 (E) 4/12
Answer: D
Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which part is not equal to the other four? The number of that part is the answer Answer Choice: (A) x(x + y)2 – 2x2y (B) x(x + y)2 + 2x2y (C) x(x2 – y2) (D) x[(x + y)2 – 2xy] (E) x[(x + y)2 – 2xy2]
Answer: E
The average of 17 numbers is 10.9. If the average of first nine numbers is 10.5 and that of the last nine numbers is 11.4, the middle number is Answer Choice: (A) 11.8 (B) 11.4 (C) 10.9 (D) 11.7 (E) 11.9
Answer: A
Envelopes can be purchased for $1.50 per pack of 100, $1.00 per pack of 50, or $0.03 each. What is the greatest number of envelopes that can be purchased for $7.60? Answer Choice: (A) 426 (B) 430 (C) 443 (D) 470 (E) 486
Answer: D
If 3a + 1 < 2a < 9 - a, which of the following must be true?
I. -1 < a < 3
II. a < -1
III. a < 3 Answer Choice: (A)  II only (B)  III only (C)  I and II only (D)  II and III only (E)  I, II and III
Answer: A
In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (4,3) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A. Answer Choice: (A) (-2,6) (B) (0,4) (C) (2,-6) (D) (2,6) (E) (4,0)
Answer: C
A firm has 5 senior partners and 4 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different) Answer Choice: (A) 70 (B) 75 (C) 80 (D) 85 (E) 90
Answer: C
A car is running at a speed of 110kmph. What distance will it cover in 9sec? Answer Choice: (A) 100m (B) 279m (C) 180m (D) 200m (E) 250m
Answer: B
If 34 men do a work in 40 days, in how many days will 20 men do it? Answer Choice: (A) 65 (B) 68 (C) 61 (D) 55 (E) 74
Answer: B
A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton? Answer Choice: (A) 210 (B) 252 (C) 280 (D) 300 (E) 420
Answer: D
Vijay went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Answer Choice: (A) 19.7 (B) 20.1 (C) 21.4 (D) 21.7 (E) 21.8
Answer: A
A pharmaceutical company made 3000 strips of tablets at a cost of Rs. 4800. The company gave away 1000 strips of tablets to doctors as free samples. A discount of 25% was allowed on the printed price. Find the ratio profit if the price is raised from Rs. 3.25 to Rs. 4.25 per strip and if at the latter price, samples to doctors were done away with. (New profit / Old profit). Answer Choice: (A) 55.5 (B) 63.5 (C) 75 (D) 99.25 (E) 80
Answer: B
In shop contains 500 articles each of a cost of $10. He sold them at a price of $20. If the shop keeper has a order of 200 articles, how much profit he will get? Answer Choice: (A) A)200 (B) B)4000 (C) C)1500 (D) D)2000 (E) E)600
Answer: D
7 points are marked on a straight line and another 8 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points? Answer Choice: (A) 21 (B) 91 (C) 168 (D) 196 (E) 364
Answer: E
During a sale, the price of a pair of shoes is marked down 13% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes? Answer Choice: (A) 9% (B) 10% (C) 11% (D) 15% (E) 90%
Answer: D
Working alone, A can complete a certain kind of job in 3 hours. A and D, working together at their respective rates, can complete one of these jobs in 2 hours. In how many hours can D, working alone, complete one of these jobs? Answer Choice: (A)  2 (B)  4 (C)  6 (D)  8 (E)  10
Answer: C
There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability that the number of men is equal to that of women? Answer Choice: (A) 18/35 (B) 16/35 (C) 14/35 (D) 13/35 (E) 12/35
Answer: A
The diagonals of a rhombus are 15 cm and 12 cm. Find its area? Answer Choice: (A) 70 (B) 90 (C) 60 (D) 80 (E) 292
Answer: B
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is? Answer Choice: (A) 6 (B) 8 (C) 4 (D) 9 (E) 3
Answer: A
If 45-[28-{37-(15-*)}]= 59, then * is equal to: Answer Choice: (A) -29 (B) -19 (C) 20 (D) 29 (E) 39
Answer: C
A sum of money lent out at S.I. amounts to Rs. 820 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is? Answer Choice: (A) Rs.440 (B) Rs. 500 (C) Rs. 540 (D) Rs. 740 (E) Rs. 840
Answer: D
At a contest with 2000 participants, 1/2 of the people are aged 16 to 18. Next year, the number of people aged 16 to 18 will increase by 1/4. After this change, what percentage of the total 2000 people will the 16- to 18- year-olds represent? Answer Choice: (A) 62.50% (B) 60% (C) 70% (D) 65% (E) 66/3%
Answer: A
Four milkmen rented a pasture. A grazed 24 cows for 3 months, B 10 cows for 5 months, C 35 cows for 4 months and D 21 cows for 3 months. If A’s share of rent is Rs.720, find the total rent of the field. Answer Choice: (A) Rs.3250 (B) Rs.3350 (C) Rs.3450 (D) Rs.3550 (E) Rs.3650
Answer: A
Sandy purchased 20 dozen toys at the rate of $144 per dozen. Sandy sold each toy at the rate of $15. What was the percentage profit? Answer Choice: (A) 15% (B) 25% (C) 35% (D) 45% (E) 55%
Answer: B
The total number of digits used in numbering the pages of a book having 366 pages is Answer Choice: (A) 732 (B) 990 (C) 1098 (D) 1305 (E) 1605
Answer: B
If x is odd and y is odd, then x + y is Answer Choice: (A) Odd (B) Odd whenever xy is even (C) Even whenever xy is odd (D) Even (E) It cannot be determined
Answer: D
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow? Answer Choice: (A) 2/27 (B) 2/29 (C) 2/21 (D) 2/22 (E) 2/27
Answer: C
A 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 55 hrs and a machine of type S does the same job in 22 hours. If the company used the same number of each type of machine to do the job in 5 hours, how many machines of type R were used? Answer Choice: (A) 22/7 (B) 28/7 (C) 23/7 (D) 25/7 (E) 22/7
Answer: E
A highway is to be divided into four lanes. For this purpose, three yellow stripes are painted so that stripes divide the highway into four lanes. If 3 gallons of paint cover an area of 5P square feet of highway, how many gallons of paint are needed to paint two stripes x inches wide on a stretch of highway m miles long? (1 mile = 5280 feet and 1 feet = 12 inches) Answer Choice: (A) 792mx/P (B) 264mx/P (C) 792P/mx (D) 264P/mx (E) 880mx/P
Answer: A
In how many years, Rs. 75 will produce the same interest at 6% as Rs. 800 produce in 2 years at 4½% ? Answer Choice: (A) 4 years (B) 16 years (C) 8 years (D) 9 years (E) 12 years
Answer: B
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is ? Answer Choice: (A) 1/38 (B) 1/36 (C) 1/39 (D) 1/31 (E) 1/29
Answer: B
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ? Answer Choice: (A) 1/6 (B) 1/2 (C) 1/9 (D) 1/1 (E) 1/5
Answer: B
If S is a positive integer, which of the following must be odd? Answer Choice: (A) S+1 (B) S^2+S (C) S^2+S+1 (D) x^2−1 (E) 3x^2−3
Answer: C
Present birth rate is 32 per thousand while death rate is 11 per thousand. What will be the percentage increase in the rate of population? Answer Choice: (A) 0.21% (B) 21% (C) 0.021% (D) 2.1% (E) None of these
Answer: D
What will be the output of the following code statements?
Integer a = 13, b = 39, c = 10 print (a × b / c) – c Answer Choice: (A) 65 (B) 26 (C) 29 (D) 26 (E) 41
Answer: E
The instructions state that Cheryl needs 2/9 square yards of one type of material and 1/8 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 4/18 square yards left that she did not use. What is the total amount of square yards of material Cheryl used? Answer Choice: (A) 1/12 (B) 1/9 (C) 1/8 (D) 1 1/9 (E) 2 1/9
Answer: C
The concentration of spirit in three different vessels A, B and C are 30%, 30% and 25% respectively. If 4 litres from vessel A, 5 litres from vessel B and 6 litres from vessel C are mixed, find the concentration of spirit in the resultant solution. Answer Choice: (A) 32% (B) 33% (C) 34% (D) 35% (E) 28%
Answer: E
Arnold wanted to create a perfect shade of pink for his new canvas painting. He started out replacing 25% of a 100% red colored paint with white. He then further replaced 15% of this shade with white. Finally, he repeated the process by replacing 10% of the shade with white. What was the final percentage of red in Arnold's pink paint? Answer Choice: (A) 62.40% (B) 51% (C) 68.21% (D) 57.37% (E) 70%
Answer: D
If an item costs Rs.3 in '99 and Rs.203 in '00.What is the % increase in price? Answer Choice: (A) 200/3 % (B) 200/6 % (C) 100% (D) 200% (E) none of these
Answer: E
In a certain random experiment, exactly one of the outcomes A, B, and M will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcomes A, B, and M will occur twice? Answer Choice: (A) 5/243 (B) 1/12 (C) 10/81 (D) 1/6 (E) 16/81
Answer: C
A man buys a cycle for Rs. 1600 and sells it at a loss of 15%. What is the selling price of the cycle? Answer Choice: (A) s. 1090 (B) s. 1360 (C) s. 1190 (D) s. 1202 (E) s. 1256
Answer: B
Which of the following data sets has the largest standard deviation? Answer Choice: (A)  {1, 2, 3, 4, 5} (B)  {2, 3, 3, 3, 4} (C)  {2, 2, 2, 4, 5} (D)  {0, 2, 3, 4, 6} (E)  {-1, 1, 3, 5, 7}
Answer: E
At present, the ratio between the ages of Arun and Deepak is 5:4. After 5 years, Arun's age will be 40 years. What is the age of Deepak at present? Answer Choice: (A) 28 (B) 26 (C) 24 (D) 22 (E) 20
Answer: A
Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days? Answer Choice: (A) 11 (B) 40 (C) 99 (D) 77 (E) 21
Answer: B
An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point? Answer Choice: (A) 5 hrs 21 min (B) 4 hrs 21 min (C) 6 hrs 41 min (D) 6 hrs 21 min (E) 4 hrs 34 min
Answer: D
In a kilometer race, A beats B by 20 meters or 10 seconds. What time does A take to complete the race? Answer Choice: (A) 490 sec (B) 190 sec (C) 176 sec (D) 716 sec (E) 123 sec
Answer: A
A group of 4 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group, what is the probability that Bob and Lisa will each sit next to only one of the three other students from the group? Answer Choice: (A) 5.55% (B) 16.67% (C) 15.75% (D) 20.45% (E) 25%
Answer: B
AB
+BA
___
141
In the addition problem above, A and B represent digits in two different two-digit numbers. What is the sum of A and B? Answer Choice: (A) 6 (B) 8 (C) 9 (D) 11 (E) 12
Answer: E
If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is: Answer Choice: (A) 20:15:16 (B) 20:15:11 (C) 20:15:12 (D) 20:15:18 (E) 20:19:19
Answer: C
Find the invalid no.from the following series 3, 7, 15, 27, 63, 127, 255 Answer Choice: (A) 3 (B) 7 (C) 27 (D) 63 (E) 127
Answer: C
(1.00001)(0.99999) - (1.00006)(0.99994) = Answer Choice: (A) 35(10^-10) (B) 10^-10 (C) 3(10^-10) (D) 10^-5 (E) 3(10^-5)
Answer: A
Find ? x 11 = 555555 Answer Choice: (A) 505 (B) 5050 (C) 50505 (D) 5005 (E) None of these
Answer: C
In 1982 and 1983, Company B’s operating expenses were $12.0 million and $13.0 million, respectively, and its revenues were $15.6 million and $18.8 million, respectively. What was the percent increase in Company B’s profit (revenues minus operating expenses) from 1982 to 1983 ? Answer Choice: (A) 3% (B) 61 1/9% (C) 25% (D) 33 1/3% (E) 60%
Answer: B
Avg cost of 3 sharpners and 6 erasers is Rs.72. The avg cost of 6 sharpners and 8 erasers is Rs.112. Find the total cost of 20 sharpners and 20 erasers? Answer Choice: (A) 190 (B) 160 (C) 130 (D) 200 (E) 180
Answer: B
Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7:9, how old is Sachin? Answer Choice: (A) 24.9 (B) 24.6 (C) 24.2 (D) 24.8 (E) 24.5
Answer: E
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) 8:1 (C) 9:8 (D) 2:1 (E) 1:1
Answer: A
Simplify
80âˆ’[5âˆ’(6+2(7âˆ’8âˆ’5Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯))] Answer Choice: (A) 23 (B) 25 (C) 89 (D) 30 (E) 32
Answer: C
In a game of 90 points, A can give B 5 points and C 15 points. then how many points B can give C in a game of 60? Answer Choice: (A) 2.82 (B) 7.82 (C) 5.82 (D) 12.82 (E) 8.82
Answer: E
ABCD is a square where AB =âˆš6016. Let X be a point on AB and Y be a point on CD such
that AX = CY . Compute the area of trapezoid AXYD. Answer Choice: (A) 3008 (B) 2002 (C) 1008 (D) 2016 (E) 3000
Answer: A
12 is what % of 80? Answer Choice: (A) 6 (B) 6.67 (C) 12 (D) 13 (E) 15
Answer: E
33
a3
+4b
___
88
If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ab? Answer Choice: (A) 12 (B) 10 (C) 13 (D) 24 (E) 34
Answer: A
A train running at 1/4 of its own speed reached a place in 12 hours. How much time could be saved if the train would have run at its own speed? Answer Choice: (A) 9 hrs (B) 10hrs (C) 12hrs (D) 15hrs (E) 6hrs
Answer: A
A collector collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend. In July, she gave 35 percent of her remaining stamps to another friend. If these were the only changes in the number of stamps in the stamp collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July? Answer Choice: (A) 32% (B) 36% (C) 40% (D) 44% (E) 48%
Answer: E
How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 32%? Answer Choice: (A) 100 ml (B) 60 ml (C) 120 ml (D) 130 ml (E) 150 ml
Answer: A
The tailor has a 10 meter long piece of fabric for which to sew a ball room dress.
She has to cuts this fabric into strips of 200 centimeters each.
How long will it take the tailor to complete this tasks if each 200 centimeter took 5 minutes to cut ? Answer Choice: (A) 150 (B) 200 (C) 188 (D) 245 (E) 123
Answer: D
Find the largest number of four digits which is exactly divisible by 26,18,12,15 Answer Choice: (A) 9700 (B) 9710 (C) 9360 (D) 9130 (E) 9140
Answer: C
Set R has a mean of 15 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? Answer Choice: (A) {11,26} (B) {18,19} (C) {16,18} (D) {16,16} (E) {14,16}
Answer: E
Eggs are sold in packages of six or eleven only. If Doris bought 78 eggs exactly, what could be the number of large packs Doris bought? Answer Choice: (A) 6. (B) 2. (C) 3. (D) 5. (E) 4.
Answer: A
There 3 kinds of books in the library physics, chemistry and biology. Ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. Which one of following can be the total W of the book? Answer Choice: (A) 3003 (B) 3027 (C) 3024 (D) 3021 (E) 3018
Answer: A
The sum of squares of two numbers is 80 and the square of their difference is 36. The product of the two numbers is. Answer Choice: (A) 22 (B) 44 (C) 58 (D) 116 (E) None
Answer: A
A salesperson receives a base salary of $900 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be? Answer Choice: (A) $1,500 (B) $1,800 (C) $2,100 (D) $2,700 (E) $2,800
Answer: D
If both 112 and 33 are factors of the number a * 43 * 62 * 1311, then what is the smallest possible value of a? Answer Choice: (A) 121 (B) 3267 (C) 363 (D) 33 (E) None of the above
Answer: C
Of the students at a certain high school, 90 percent took a course in algebra or geometry and 10 percent took courses in both. If the percent of students who took a course in algebra was 3 times the percent of students who took a course in geometry, what percent of the students took a course in algebra but not geometry? Answer Choice: (A) 35% (B) 45% (C) 55% (D) 65% (E) 70%
Answer: D
If a certain sample of data has a mean of 25.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean? Answer Choice: (A) 12.0 (B) 13.5 (C) 17.5 (D) 23.5 (E) 26.5
Answer: C
At the time of marriage, a man was 7 years elder to his wife. 10 years after their marriage, his age is 4/3 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer. Answer Choice: (A) 36 years (B) 30 years (C) 26 years (D) 24 years (E) 11 years
Answer: E
45 x ? = 60% of 900 Answer Choice: (A) 16.2 (B) 12 (C) 5 (D) 500 (E) None
Answer: B
A 500 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed? Answer Choice: (A) 2 min 48 sec (B) 4 min 48 sec (C) 4 min 38 sec (D) 4 min 18 sec (E) 4 min 8 sec
Answer: B
If an amount of Rs 42,460 is distributed equally
amongst 22 persons, how much amount would each
person get? Answer Choice: (A) Rs 1905 (B) Rs 2000 (C) Rs 1930 (D) Rs 765 (E) None
Answer: C
What is the average of four tenths and two thousandths Answer Choice: (A) 0.2022 (B) 0.3325 (C) 0.201 (D) 0.2012 (E) 0.2114
Answer: C
If x^2 - 1 = 0 and x < 0, which of the following must be equal to 0 ? Answer Choice: (A)  x^2 - 9x (B)  x^2 - 9x + 20 (C)  x^2 - 2x + 3 (D)  x^2 + 2x + 1 (E)  x^2 + 5x + 6
Answer: D
A factory has 500 workers, 18 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent? Answer Choice: (A)  3 (B)  10 (C)  20 (D)  30 (E)  35
Answer: C
An airplane flies along the four sides of a square field at the speeds of 200, 400, 600 and 800 km/h. The average speed of the plane around the field in km/h is Answer Choice: (A) 384 (B) 400 (C) 500 (D) 284 (E) None of these
Answer: A
If N = 2^0.1 and N^b = 16, b must equal Answer Choice: (A) 3/80 (B) 3/5 (C) 40 (D) 5/3 (E) 80/3
Answer: C
A can run 4 times as fast as B and gives B a start of 63 m. How long should the race course be so that A and B might reach in the same time? Answer Choice: (A) 70 m (B) 60 m (C) 80 m (D) 65 m (E) 84 m
Answer: E
Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year? Answer Choice: (A) 3377 (B) 2678 (C) 5460 (D) 1976 (E) 1671
Answer: C
A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 9 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot) Answer Choice: (A) 29 (B) 48 (C) 55 (D) 67 (E) 86
Answer: C
In how many ways can the letters of the word ED456 be rearranged such that the numbers always appear together? Answer Choice: (A) 25 (B) 16 (C) 36 (D) 9 (E) 29
Answer: C
A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has." A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got ? Answer Choice: (A) 28 (B) 29 (C) 31 (D) 35 (E) 37
Answer: A
Two employees X and Y are paid a total of Rs. 330 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? Answer Choice: (A) s.150 (B) s.200 (C) s.250 (D) s.350 (E) s.400
Answer: A
A certain car increased its average speed by 4 miles per hour in each successive 5-minute interval after the first interval. If in the first 5-minute interval its average speed was 20 miles per hour, how many miles did the car travel in the third 5-minute interval? Answer Choice: (A) 1.0 (B) 1.5 (C) 2.0 (D) 2.5 (E) 3.0
Answer: D
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 24 kmph and 48 kmph. After how much time will the trains meet? Answer Choice: (A) 20/8 sec (B) 20/4 sec (C) 20/7 sec (D) 22/7 sec (E) 5 sec
Answer: E
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? Answer Choice: (A) 868 (B) 869 (C) 865 (D) 860 (E) 861
Answer: D
Find the lowest common multiple of 24, 36 and 40. Answer Choice: (A) 360 (B) 420 (C) 510 (D) 320 (E) 280
Answer: A
The measurement of a rectangular box with lid is 25cmx4cmx18cm. Find the volume of the largest sphere that can be inscribed in the box (in terms of πcm3). (Hint: The lowest measure of rectangular box represents the diameter of the largest sphere) Answer Choice: (A) 11.12 (B) 10.11 (C) 72 (D) 10.66 (E) 9.2
Answer: D