loafeihong/math_mmlu_format huggingface dataset:
A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe benefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 5.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ? Answer Choice: (A) 16.5% (B) 20% (C) 35% (D) 55% (E) 65%
Answer: B
Abhinav and Bhupathi together have Rs. 1210. If 4/15 of Abhinav's amount is equal to 2/5 of Bhupathi's amount, how much amount does Bhupathi have? Answer Choice: (A) Rs 460 (B) Rs 484 (C) Rs 550 (D) Rs 664 (E) None of these
Answer: B
Reduce
368575
to the lowest terms Answer Choice: (A) 3025 (B) 2829 (C) 2829 (D) 1625 (E) None of these
Answer: D
On a journey across Bombay, a tourist bus averages 10 km/h for 20% of the distance, 30 km/h for 60% of it and 20 km/h for the remainder. The average speed for the whole journey was Answer Choice: (A) 10 km/h (B) 30 km/h (C) 5 km/h (D) 20 kilometre per hour (E) None of these
Answer: D
Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages Answer Choice: (A) 65 years (B) 35 years (C) 55 years (D) 44 years (E) 11 years
Answer: B
Given the two equations 5r - 5s = 15 and 2r - 2s = 6, by how much does r exceed s? Answer Choice: (A) 3 (B) 2 (C) 11 (D) 4 (E) 7
Answer: A
The unit digit in the product 1258*6754*4512*9783 is? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: C
A bowl contains pecans, cashews, and almonds in a ratio of 11 : 20 : 30, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl? i. 1 : 2 : 3 ii. 2 : 3 : 4 iii. 4 : 7 : 10 Answer Choice: (A) I,III only (B) I only (C) III only (D) II only (E) I,II only
Answer: B
John distributes his pencil among his 4friends Rose, Mary, Ranjan, and Rohit in the ratio 1/2 : 1/3 : 1/4 : 1/5 . What is the minimum no. of pencils that the person should have? Answer Choice: (A) 56 (B) 65 (C) 75 (D) 77 (E) 81
Answer: D
For any number z, z* is defined as the greatest positive even integer less than or equal to z. What is the value of 5.2 – 5.2*? Answer Choice: (A) 0.2 (B) 1.2 (C) 1.8 (D) 2.2 (E) 4.0
Answer: B
John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $40. What is the percent decrease? Answer Choice: (A) 20% (B) 30% (C) 40% (D) 70% (E) 60%
Answer: E
Increasing the original price of a certain item by 20 percent and then increasing the new price by 20 percent is equivalent to increasing the original price by what percent? Answer Choice: (A) 31.25 (B) 37.5 (C) 50.0 (D) 52.5 (E) 44.0
Answer: E
The average age of a group of persons going for picnic is years. Twenty new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is Answer Choice: (A) 5 (B) 10 (C) 20 (D) 40 (E) 50
Answer: C
X starts a business with Rs.45000. Y joins in the business after 4 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year? Answer Choice: (A) 1:2 (B) 2:1 (C) 1:3 (D) 3:1 (E) 9:4
Answer: E
There are 80 coins, among them one coin weighs less compared to other. You are given a physical balance to weigh. In how many weighing the odd coin can be found. Answer Choice: (A) 3 (B) 5 (C) 6 (D) 7 (E) 4
Answer: E
What is the compound interest paid on a sum of Rs.3000 for the period of 2 years at 10% per annum. Answer Choice: (A) 630 (B) 620 (C) 610 (D) 600 (E) None of these
Answer: A
A pair of articles was bought for $50 at a discount of 50%. What must be the marked price of each of the article? Answer Choice: (A) $25 (B) $12.50 (C) $29.65 (D) $35.95 (E) $45.62
Answer: B
The G.C.D. of 1.08, 0.36 and 0.9 is? Answer Choice: (A) 0.03 (B) 0.9 (C) 0.18 (D) 0.108 (E) none of these
Answer: C
A certain no. when divided by 35leaves a remainder 25, what is the remainder if the same no.be divided by 15? Answer Choice: (A) 3 (B) 4 (C) 6 (D) 8 (E) 9
Answer: B
x^2 + qx + 72 = 0 has two distinct integer roots; how many values are possible for q? Answer Choice: (A) 3 (B) 6 (C) 8 (D) 12 (E) 24
Answer: D
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is: Answer Choice: (A) 22 (B) 24 (C) 77 (D) 26 (E) 81
Answer: B
speed of a bus is 54kmph and including stoppages, it is 45kmph. For how many minsdoes the bus stop per hour? Answer Choice: (A) 10 min (B) 20 min (C) 25 min (D) 30 min (E) 40 min
Answer: A
Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $35.19. How much did the meal cost without the tip? Answer Choice: (A) $28.98 (B) $29.91 (C) $30.15 (D) $30.60 (E) $30.85
Answer: D
A rocket soars for 12 seconds at 150 meters per second. It then plummets 600 meters in 3 seconds. What is the average speed of the rocket in meters per second? Answer Choice: (A) 140 (B) 150 (C) 155 (D) 160 (E) 175
Answer: D
12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the number of ways the task can be done. Answer Choice: (A) 360 (B) 384 (C) 432 (D) 470 (E) 480
Answer: B
How many ways someone can make with 8 shirts and 6 pants? Answer Choice: (A) 50 (B) 45 (C) 55 (D) 52 (E) 48
Answer: E
Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes K, each draining water at the same constant rate, will be needed to drain the pool in 4 days? Answer Choice: (A)  6 (B)  9 (C)  10 (D)  12 (E)  15
Answer: C
a 50 is divided in two parts in such a way its reciprocal is 1/12.find the no? Answer Choice: (A) 20,30 (B) 20,40 (C) 20,10 (D) 30,10 (E) 30,40
Answer: A
In the x-y plane, point (x, y) is a lattice point if both x and y are integers. An ellipse has a center at (0, 0) and minor/major axes lengths of 1, 4, respectively. Some points, such as the center (0, 0), are inside the ellipse, but a point such as (0, 2) is on the ellipse but not in the ellipse. How many lattice points are in the ellipse? Answer Choice: (A) 26 (B) 23 (C) 5 (D) 4 (E) 7
Answer: E
If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11 ? Answer Choice: (A) 4x + 6y (B) x + y + 4 (C) 4x - 9y (D) 9x + 4y (E) x + y - 4
Answer: C
In the graph below, no axes or origin is shown. If point B's coordinates are (10,4), which of the following coordinates would most likely be A's? Answer Choice: (A) (17, -2) (B) (10, 6) (C) (6, 8) (D) (-10, 3) (E) (-2, -17)
Answer: B
A man buys an article and sells it at a profit of 10%. If he had bought it at 10% less and sold it for Rs.55 less, he could have gained 15%. What is the cost price? Answer Choice: (A) 197 (B) 375 (C) 846 (D) 278 (E) 268
Answer: C
A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 3000 more than D, what is B's share? Answer Choice: (A) A)8239 (B) B)2900 (C) C)6000 (D) D)2393 (E) E)2009
Answer: C
If 1/8 of a pencil is black ½ of the remaining is white and the remaining 3 ½ is blue find the total length of the pencil? Answer Choice: (A) 9 (B) 5 (C) 7 (D) 8 (E) 4
Answer: D
The volume of a cube is 3375 cc. Find its surface. Answer Choice: (A) 1350 (B) 1150 (C) 1456 (D) 1254 (E) 1489
Answer: A
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current? Answer Choice: (A) 1.5 (B) 1.8 (C) 1.2 (D) 1.1 (E) 1.9
Answer: A
(1/3) of a number is 5 more than the (1/6) of the same number? find the no. Answer Choice: (A) 6 (B) 36 (C) 30 (D) 72 (E) 62
Answer: C
The product of a positive integer x and 377,910 is divisible by 3,300, then the least value of x is: Answer Choice: (A) 10 (B) 11 (C) 55 (D) 110 (E) 330
Answer: D
Using all the letters of the word "BETA", how many words can be formed, which begin with B and end with A? Answer Choice: (A) 5 (B) 6 (C) 8 (D) 9 (E) 2
Answer: E
A wheel of a car of radius 21 cms is rotating at 400 RPM. What is the speed of the car in km/hr? Answer Choice: (A) 79.2 km/hr (B) 47.52 km/hr (C) 7.92 km/hr (D) 31.68 km/hr (E) 3.96 km/hr
Answer: D
If 2.5 of a number is equal to 0.75 of another number, the ratio of the numbers is : Answer Choice: (A) 2 :3 (B) 3 :4 (C) 3:10 (D) 20 : 3 (E) 30:7
Answer: C
One-third of 600 is what percent of 120 ? Answer Choice: (A) 313.2 (B) 30.1 (C) 12.24 (D) None of these (E) 166.6
Answer: E
If 15 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days? Answer Choice: (A) 127 (B) 240 (C) 287 (D) 450 (E) 281
Answer: B
A train running at the speed of 108 km/hr crosses a pole in 7 seconds. Find the length of the train. Answer Choice: (A) 150 meter (B) 145 meter (C) 140 meter (D) 135 meter (E) 210 meter
Answer: E
A case contains c cartons. Each carton contains b boxes, and each box contains 600 paper clips. How many paper clips are contained in 2 cases? Answer Choice: (A) 600bc (B) 600b/c (C) 1200bc (D) 1200b/c (E) 1200/bc
Answer: C
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)? Answer Choice: (A) 1/13 (B) 3/13 (C) 1/4 (D) 9/52 (E) 8/52
Answer: B
Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 3 days at a time. If A starts they finish the task in exactly 9 days. If B starts, they take a day more. How long does it take to complete the task if they both work together? Answer Choice: (A) 8 (B) 6 (C) 4 (D) 5 (E) 9/2
Answer: E
Suraj has a certain average of runs for 14 innings. In the 15th innings he scores 140 runs thereby increasing his average by 8 runs. What is his average after the 15th innings? Answer Choice: (A) 48 (B) 28 (C) 36 (D) 72 (E) 27
Answer: B
Total natural no. from 11 to 90 which is divisible 7. Answer Choice: (A) 9 (B) 10 (C) 11 (D) 12 (E) 13
Answer: C
When 17 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 123 hours, it must travel at a speed of: Answer Choice: (A) 234 (B) 377 (C) 720 (D) 378 (E) 268
Answer: D
A computer factory produces 8400 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month? Answer Choice: (A) 2.25. (B) 3.125. (C) 4.5. (D) 5.225. (E) 6.25.
Answer: E
What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum ? Answer Choice: (A) Rs. 112 (B) Rs. 118.80 (C) Rs. 120 (D) Rs. 122 (E) None
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train. Answer Choice: (A) 150 (B) 180 (C) 190 (D) 170 (E) 169
Answer: A
In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 7.5), (8, 0), (0, -7.5), (-8, 0)? Answer Choice: (A) 56 (B) 88 (C) 112 (D) 116 (E) 120
Answer: E
If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is Answer Choice: (A) 289 (B) 231 (C) 200 (D) 288 (E) 111
Answer: C
The sum of 1 hours 45 minutes and 2 hours 55 minutes is approximately what percent of a day? Answer Choice: (A) 5% (B) 10% (C) 15% (D) 20% (E) 25%
Answer: D
15! is equal to which of the following? Answer Choice: (A) 1,307,674,368,000 (B) 1,307,674,368,242 (C) 1,307,674,368,356 (D) 1,307,674,368,825 (E) 1,307,674,368,624
Answer: A
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.400 when the rate to profit rises from 5 to 7 percent. Find the Capital of B? Answer Choice: (A) 3999 (B) 7799 (C) 2500 (D) 5000 (E) 2912
Answer: D
Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 10 percent sulfuric acid, approximately how many liters of the 2 percent solution will be required? Answer Choice: (A) 18 (B) 12 (C) 24 (D) 36 (E) 42
Answer: B
Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 50 litres of tomato juice? Answer Choice: (A) 2.8 liters. (B) 2.5 liters. (C) 8.5 liters. (D) 6.25 liters. (E) 2.1 liters.
Answer: D
Out of 15 students in a class, 8 are wearing blue shirts, 4 are wearing green shirts, and 3 are wearing red shirts. Four students are to be selected at random. What is the probability that at least one is wearing a green shirt? Answer Choice: (A) 39/61 (B) 49/71 (C) 59/81 (D) 69/91 (E) 79/101
Answer: D
A baseball team played 10 games and won 5. What is the ratio of the number of games played to the number of losses? Answer Choice: (A) 5:1 (B) 1:1 (C) 20:4 (D) 10:3 (E) 2:1
Answer: E
A computer can perform z calculations in s seconds. How many minutes will it take the computer to perform k calculations? Answer Choice: (A) ks/60z (B) ks/z (C) 60ks/z (D) 60z/ks (E) k/60zs
Answer: A
In an election between the two candidates, the candidates who gets 70% of votes polled is winned by 360 vote’s majority. What is the total number of votes polled? Answer Choice: (A) 750 (B) 700 (C) 900 (D) 850 (E) None of these
Answer: C
Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 12 candidates. She plans to have one working interview with 3 of the 12 candidates every day to see how well they work together. How many days will it take her to have working interviews with all the different combinations of job candidates? Answer Choice: (A) 720 (B) 120 (C) 300 (D) 30 (E) 333
Answer: C
David covered a distance of 50 miles on his first trip. On a later trip he traveled 50 miles while going three times as fast. His new time compared with the old time was: Answer Choice: (A) twice as much (B) three times as much (C) the same (D) half as much (E) a third as much
Answer: E
A room is 25 meters long, 20 meters wide 10 meters in height. The longest possible rod which can be placed in the room is Answer Choice: (A) 30.54 meters (B) 32.54 meters (C) 34.54 meters (D) 33.54 meters (E) 35.54 meters
Answer: D
6 people meet for a meeting. Each person shakes hands once with each other person present. How many handshakes take place? Answer Choice: (A) 30 (B) 21 (C) 18 (D) 15 (E) 10
Answer: D
A train passes a station platform in 34 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 276 m (B) 279 m (C) 210 m (D) 207 m (E) 202 m
Answer: C
Sam invested Rs. 12000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be? Answer Choice: (A) 13230.0 (B) 12300.02 (C) 16537.5 (D) 15000.0 (E) 16537.11
Answer: A
Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 6, how many people got on at the first stop? Answer Choice: (A) 128 (B) 64 (C) 32 (D) 16 (E) 8
Answer: C
Raman mixed 48 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction? Answer Choice: (A) 129 (B) 287 (C) 195 (D) 188 (E) 112
Answer: C
The profit earned by selling an article for Rs 900 is double the loss incurred when the same article is sold for Rs.490. At what price should the article be sold to make 25% profit? Answer Choice: (A) 715 (B) 469 (C) 400 (D) 750 (E) 850
Answer: D
0.0203 x 2.92/0.0073 x 14.5 x 0.7 = ? Answer Choice: (A) 0.4 (B) 0.6 (C) 0.8 (D) 0.5 (E) 0.3
Answer: C
6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days. Answer Choice: (A) 4 days (B) 6 days (C) 8 days (D) 2 days (E) 10 days
Answer: A
Read the following three equations:
5 ~ 4 ~ 3 ~ 9 = 4215
6 ~ 9 ~ 2 ~ 6 = 3816
4 ~ 7 ~ 3 ~ 3 = 1122
Now based on the rule that has been used, solve the following equation:
3 ~ 2 ~ 7 ~ 4 = ____ Answer Choice: (A) 1412 (B) 2910 (C) 2940 (D) 3749 (E) 4470
Answer: A
0.2 x 0.7 = ? Answer Choice: (A) 0.0001 (B) 0.001 (C) 0.01 (D) 0.14 (E) NONE OF THESE
Answer: D
During a certain season, a team won 65 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played? Answer Choice: (A) 80 (B) 75 (C) 56 (D) 50 (E) 105
Answer: B
CMM, EOO, GQQ, _____, KUU Answer Choice: (A) MSQ (B) IPS (C) IIS (D) ISS (E) POL
Answer: D
At a certain diner, Joe ordered 3 doughnuts and a cup of coffee and was charged $ 2.25. Stella ordered 2 doughnuts and a cup of coffee and was charged $ 1.50. What is the price of 2 doughnuts? Answer Choice: (A) $ 0.55 (B) $ 1.00 (C) $ 1.10 (D) $ 1.30 (E) $ 1.50
Answer: E
Six children — A, B, C, D, E and F — are going to sit in six chairs in a row. The children C & F 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) 240 (B) 720 (C) 1440 (D) 4320 (E) 4800
Answer: A
The value of x + x(x*x*(in x)) when x = 2 is: Answer Choice: (A) 10 (B) 16 (C) 18 (D) 36 (E) 64
Answer: A
In how many different number of ways 4 boys and 2 girls can sit on a bench? Answer Choice: (A) 720 (B) 740 (C) 760 (D) 800 (E) 810
Answer: A
A cylinder of height h is 7/8 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h? Answer Choice: (A) 25% (B) 50% (C) 69% (D) 80% (E) 100%
Answer: C
If the LCM and HCF of 4 and another number is 36 and 2 respectively. Find the other number ? Answer Choice: (A) 18 (B) 16 (C) 14 (D) 13 (E) 15
Answer: A
How many different committees can be formed from a group of two women and four men if three people are on the committee and at least one member must be a woman? Answer Choice: (A) 6 (B) 8 (C) 10 (D) 12 (E) 16
Answer: E
The surface area of a sphere is 4πR2, where R is the radius of the sphere. If the area of the base of a hemisphere is 3, what is the surface area R of that hemisphere? Answer Choice: (A)  6/π (B)  9/π (C)  6 (D)  9 (E)  12
Answer: D
If 6log(4*5^2) = x, find x Answer Choice: (A) 10 (B) 11 (C) 7 (D) 12 (E) 9
Answer: D
The edges of a cuboid are 2 cm, 5 cm and 3 cm. Find the volume of the cuboid? Answer Choice: (A) 20 (B) 60 (C) 80 (D) 30 (E) 45
Answer: D
In an examination, a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his history paper, his average per paper would have been 65. How many papers were there in the examination? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12
Answer: D
In what ratio must water be mixed with milk costing Rs.12 per litre to obtain a mixture worth of Rs.8 per litre? Answer Choice: (A) 1 : 2 (B) 2 : 1 (C) 4 : 3 (D) 5 : 3 (E) None
Answer: A
Two numbers are less than third number by 60% and 74% respectively. How much percent is the second number less than by the first ? Answer Choice: (A) 18% (B) 29% (C) 35% (D) 41% (E) None of these
Answer: C
In how many ways the letters of the word LOOC be arranged? Answer Choice: (A) 8 (B) 9 (C) 12 (D) 14 (E) 17
Answer: C
A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary? Answer Choice: (A) 338 (B) 286 (C) 266 (D) 500 (E) 128
Answer: D
A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum? Answer Choice: (A) 2888 (B) 1640 (C) 2782 (D) 833 (E) 2772
Answer: B
What will be the cost of building to decorate which area equal to 225 sq ft, if the price per foot of building is Rs. 5? Answer Choice: (A) 300 (B) 150 (C) 600 (D) 1200 (E) 800
Answer: A
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is? Answer Choice: (A) 50 km/hr (B) 24 km/hr (C) 8 km/hr (D) 5 km/hr (E) 16 km/hr
Answer: A
Look at this series: 375000,75000,25000, ... What number should come next? Answer Choice: (A) 17 (B) 10 (C) 15 (D) 5000 (E) 8
Answer: D
$378 is divided among A, B, and C so that A receives half as much as B, and B receives half as much as C. How much money is C's share? Answer Choice: (A) $200 (B) $208 (C) $216 (D) $224 (E) $232
Answer: C
If on an item a company gives 25% discount and 25% profit it makes. if they now gives 10% discount then the profit %age made by the company will be... Answer Choice: (A) 40 (B) 55 (C) 35 (D) 30 (E) 50
Answer: E
An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes : Answer Choice: (A) 10% (B) 10.25% (C) 10.5% (D) None of these (E) Cannot be determined
Answer: B
A number is mistakenly divided by 5 instead of being multiplied by 5. Find the percentage change in the result due t this mistake. Answer Choice: (A) 96% (B) 95% (C) 2400% (D) 200% (E) 400%
Answer: A
Q is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in Q?
I. 9
II. 15
III. 27 Answer Choice: (A) I only (B) II only (C) I and II only (D) I and III only (E) I, II, and III
Answer: C
In how many different ways can 3 girls and 3 boys be seated at a rectangular table that has 3 chairs on one side and 3 stools on the other side, if two girls or two boys can never sit side by side? Answer Choice: (A) 24 (B) 36 (C) 72 (D) 84 (E) 96
Answer: C
The average height of 35 boys in a class was calculated as 181cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places? Answer Choice: (A) 187.89 cm (B) 179.29 cm (C) 123.98 cm (D) 149.98 cm (E) 146.89 cm
Answer: B
If selling price is doubled, the profit triples. Find the profit percent: Answer Choice: (A) 200% (B) 500% (C) 100% (D) 450% (E) 800%
Answer: C
Ayesha's father was 34 years of age when she was born while her mother was 28 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? Answer Choice: (A) 16 (B) 14 (C) 15 (D) 10 (E) 12
Answer: D
Shane is playing a board game. For his first turn he moved ahead 3 spaces, for the second, 5
spaces and for the third, 1 space. For his next turn he had to go back 6 spaces. After that he got
a card that said he could move two times the biggest forward move he had done so far. Now how
many spaces from the beginning is Shane’s game piece? Answer Choice: (A) 3 (B) 13 (C) 23 (D) 33 (E) 43
Answer: B
Find the greatest number which leaves the same remainder when it divides 25, 62 and 105. Answer Choice: (A) 1 (B) 8 (C) 12 (D) 16 (E) None of these
Answer: A
Water is leaking out from a cylinder container at the rate of 0.31 m^3 per minute. After 10 minutes, the water level decreases 9 meters. What is value of the radius in meters? Answer Choice: (A) 1/2 (B) 1/3 (C) 1.5 (D) 3 (E) 6
Answer: B