loafeihong/math_mmlu_format huggingface dataset:
A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 56 km downstream Answer Choice: (A) 2 hours (B) 4 hours (C) 5 hours (D) 6 hours (E) 7 hours
Answer: A
A, B, C together started a business. A invested Rs.1000 for 5 months B invested Rs.1500 for 6 months and C Rs.2000 for 3 months. If they get a total profit of Rs.3000. Find the share of A? Answer Choice: (A) 750 (B) 3000 (C) 2777 (D) 2999 (E) 17212
Answer: A
Rs.320 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins? Answer Choice: (A) 388 (B) 266 (C) 120 (D) 240 (E) 267
Answer: D
Tough and Tricky questions: Work/Rate Problems.
If it takes 70 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 15 workers to do this same job? Answer Choice: (A) 14 (B) 11 (C) 7 (D) 7/3 (E) 9/7
Answer: A
Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 40 percent of the cards for himself and split the remaining cards evenly among his 4 younger brothers. What is the lowest possible number of cards that Tom can save for himself that will also allow each of his 4 younger brothers to get an equal number of cards? Answer Choice: (A) 110 (B) 112 (C) 116 (D) 118 (E) 122
Answer: A
A train passes a man standing on the platform. If the train is 130 meters long and its speed is 72 kmph, how much time it took in doing so? Answer Choice: (A) 6 Â½ sec (B) 6 Â½ sec (C) 9 Â½ sec (D) 8 Â½ sec (E) 7 Â½ sec
Answer: B
In an election between two candidates, 10% of votes are were declares invalid. First candidate got 1800 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was? Answer Choice: (A) 10000 (B) 12000 (C) 13000 (D) 14000 (E) 15000
Answer: A
John had a stock of 1000 books in his bookshop. He sold 20 on Monday, 120 on Tuesday, 200 on Wednesday,250 on Thursday and 300 on Friday. What percentage of the books were not sold? Answer Choice: (A) 68% (B) 74% (C) 76% (D) 62% (E) 89%
Answer: E
There are cats got together and decided to kill the mice of 999919. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats? Answer Choice: (A) 941,1009 (B) 991,1001 (C) 991,1009 (D) 791,1009 (E) 931,1009
Answer: C
In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes. Answer Choice: (A) 16800 (B) 15800 (C) 16700 (D) 15700 (E) 15000
Answer: A
Two trains which have lengths of 150 m are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely? Answer Choice: (A) 7.6 (B) 7.1 (C) 6.8 (D) 7.2 (E) 6.4
Answer: D
In the parking lot there are 38 vehicles, 21 of them are buses, and the rest are cars. The color of 23 vehicles is red, of which 15 are buses. How many cars can be found in the parking lot which are not colored red? Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: C
A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income? Answer Choice: (A) 900 (B) 906 (C) 988 (D) 917 (E) 902
Answer: A
On a certain plane, 2/5 of the passengers speak Hindi and 3/4 speak Hebrew. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane? Answer Choice: (A) 12 (B) 15 (C) 60 (D) 74 (E) 80
Answer: C
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is? Answer Choice: (A) 33 (B) 38 (C) 15 (D) 36 (E) 81
Answer: C
In a particular 100 meter race, 4 athletes are participating that are numbered 1-4. In how many ways can athlete #4 finish ahead of #2 provided there's no tie among the athletes? Answer Choice: (A) 8 (B) 12 (C) 16 (D) 20 (E) 24
Answer: B
There are 4 more women than there are men on a local co-ed softball team. If there are a total of 20 players on the team, what is the ratio of men to women? Answer Choice: (A) 8/12 (B) 6/16 (C) 4/16 (D) 6/10 (E) 4/10
Answer: A
How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 13 inches than that of a rectangular sheet of paper measuring 6.5 inches by 11 inches? Answer Choice: (A) 50% (B) 87% (C) 100% (D) 187% (E) 200%
Answer: C
Sudhir started a business with Rs.20,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be Answer Choice: (A) 3:2 (B) 2:3 (C) 4:3 (D) 3:4 (E) 1:1
Answer: E
The amount of time that three people worked on a special project was in the ratio of 4 to 3 to 5. If the project took 120 hours, how many more hours did the hardest working person work than the person who worked the least? Answer Choice: (A) 25 hours (B) 30 hours (C) 20 hours (D) 26 hours (E) 32 hours
Answer: C
Certain stocks in January were 10% less than they were in February and 20% greater than they were in March. What was the percentage decrease in the stocks from February to March? Answer Choice: (A) 5% (B) 10% (C) 20% (D) 25% (E) 50%
Answer: D
If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station. Answer Choice: (A) 8 km (B) 6 km (C) 12 km (D) 9 km (E) 7 km
Answer: B
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 14 months respectively. What was the ratio of their investments? Answer Choice: (A) 10:12:14 (B) 12:24:28 (C) 20:22:12 (D) 20:49:32 (E) None of these
Answer: D
a father is 5 times as faster as son in doing a work. Father completes a particular work in 40 days before son.If both of them work together in how many days can they complete the work? Answer Choice: (A) 8.33days (B) 9.33days (C) 10.33days (D) 7.33days (E) 6.33days
Answer: A
The radius of a sphere is increased by 10%. The surface area increases by? Answer Choice: (A) 21% (B) 31% (C) 41% (D) 51% (E) none of these
Answer: A
the hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 15 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the cyclist wait until the hiker catches up? Answer Choice: (A) 20 (B) 55/4 (C) 25 (D) 14 (E) 13
Answer: B
Two pipes P and Q can fill a cistern in 12 and 17 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill? Answer Choice: (A) 11 1/2 min (B) 11 1/4 min (C) 12 3/4 min (D) 11 1/5 min (E) 11 7/4 min
Answer: C
If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 930, C will receive Answer Choice: (A) 233 (B) 180 (C) 900 (D) 287 (E) 271
Answer: B
Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers? Answer Choice: (A) 60,88 (B) 60,86 (C) 60,82 (D) 60,84 (E) 60,83
Answer: D
Three persons A, B and C divide a certain amount of money such that A's share is Rs.4 less than half of the total amount. B's share is Rs.8 more than half of what is left and finally C takes the which is Rs.14. Find the total amount they initially had with them? Answer Choice: (A) 77 (B) 66 (C) 80 (D) 99 (E) 61
Answer: C
A student chose a number, multiplied it by 5, then subtracted 138 from the result and got 102. What was the number he chose? Answer Choice: (A) 48 (B) 120 (C) 130 (D) 140 (E) 150
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) 3 kmph (B) 1.5 kmph (C) 13 kmph (D) 6.5 kmph (E) 7:3kmph
Answer: B
Let S be the set of values which can be written as the sum of 5 consecutive perfect squares.
What is the smallest element of S which is divisible by 17? Answer Choice: (A) 255 (B) 355 (C) 522 (D) 355 (E) 664
Answer: A
Joe went on a diet 4 months ago when he weighed 212 pounds. If he now weighs 188 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 160 pounds? Answer Choice: (A)  3 (B)  3.5 (C)  4 (D)  4.5 (E)  5
Answer: D
At a recent small town election for mayor a total of 975 votes were cast for the four candidates, the winner exceeding his opponents by 53, 79 and 105 votes, respectively. How many votes were cast for the candidate in fourth place? Answer Choice: (A) 134 (B) 178 (C) 198 (D) 166 (E) 194
Answer: C
Find the value of x from the below equation? : x^2-16 = 0 Answer Choice: (A) 8 (B) 16 (C) -4 (D) 1 (E) -8
Answer: C
The compounded ratio of (2 : 3), (6: 11) and (11 :2) is : Answer Choice: (A) 1:2 (B) 5:9 (C) 2:1 (D) 11:24 (E) None
Answer: C
Excluding stoppages, the speed of a bus is 90 km/hr and including stoppages, it is 84 km/hr. For how many minutes does the bus stop per hour? Answer Choice: (A) 18 min (B) 4 min (C) 8 min (D) 6 min (E) 5 min
Answer: B
In how many ways can the letters of the word ABCdef be rearranged such that the lower case letters always appear together? Answer Choice: (A) 196 (B) 255 (C) 299 (D) 144 (E) 169
Answer: D
Positive Integer A gives the remainder of 9 when divided by another positive Integer B. If A/B = 47.45, what is the value of B? Answer Choice: (A) 96 (B) 75 (C) 48 (D) 20 (E) 12
Answer: D
If Mason is now twice as old as Gunther was 5 years ago, and G is Gunther's current age in years, which of the following represents the sum of Mason and Gunther's ages 10 years from now? Answer Choice: (A) 3G+14 (B) 3G+8 (C) 3G+15 (D) 3G+10 (E) 3G+9
Answer: D
A sum of Rs. 1000 amounts to Rs. 1200 in 4 years at the rate of simple interest. What is the rate of interest? Answer Choice: (A) 7% (B) 9% (C) 5% (D) 6% (E) 2%
Answer: C
If a(a - 6) = 7and b(b -6) = 7, where a ≠ b, then a + b = Answer Choice: (A) −48 (B) −2 (C) 6 (D) 9 (E) 48
Answer: C
Molly is rolling a number cube with faces numbered 1 to 6 repeatedly. When she receives a 2, she will stop rolling the cube. What is the probability that Molly will roll the die less than 3 times before stopping? Answer Choice: (A) 11/180 (B) 11/36 (C) 25/216 (D) 91/216 (E) 27/128
Answer: B
On a Monday in a certain restaurant, 30 percent of the 180 customers ordered the daily special. On Tuesday, only 10 percent of the 120 customers ordered the special. For the two days combined, what percent of the customers ordered the daily special? Answer Choice: (A) 15% (B) 16% (C) 18% (D) 22% (E) 30%
Answer: D
Find large number from below question The difference of two numbers is 1015. On dividing the larger number by the smaller, we get 9 as quotient and the 15 as remainder Answer Choice: (A) 1209 (B) 1324 (C) 1245 (D) 1140 (E) 1635
Answer: D
Albert buys 4 horses and 9 cows for Rs. 13,400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of Rs. 1880. The cost of a horse is: Answer Choice: (A) Rs.2007 (B) Rs.2000 (C) Rs.2089 (D) Rs.2067 (E) Rs.2098
Answer: B
Three coins are tossed. Find the probability of at most 2 tails ? Answer Choice: (A) 1/2 (B) 1/4 (C) 2/3 (D) 7/8 (E) 3/8
Answer: D
A trader marked the selling price of an article at 40% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of : Answer Choice: (A) 10 % (B) 7.8 % (C) 11 % (D) 12.5 % (E) None
Answer: B
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 30 percent. The price of the item on day 3 is what percentage of the sale price on day 1? Answer Choice: (A) 28% (B) 63% (C) 64.8% (D) 70% (E) 72%
Answer: B
Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Qâ€™s amount. At the end of the year 28% profit was earned which was equal to 98,000. What was the amount invested by R? Answer Choice: (A) 2,10,000 (B) 1,05,000 (C) 75,000 (D) Data inadequate (E) None of these
Answer: C
A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $40 to incur a loss 20%? Answer Choice: (A) 20 (B) 36 (C) 40 (D) 50 (E) 48
Answer: A
If three people (A,B,C) want to raise $30000.00 capital to start a business as below: A raises half the amount of B and C raises 3 times the amount of A, how much A will raise? Answer Choice: (A) A - $5000 (B) B - $5005 (C) C - $5010 (D) D - $5015 (E) E - $5020
Answer: A
In a room filled with 6 people, all 6 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings? Answer Choice: (A) 3/5 (B) 3/7 (C) 4/7 (D) 5/6 (E) 7/12
Answer: A
What is the sum of the greatest common factor and the lowest common multiple of 72 and 36? Answer Choice: (A) 120 (B) 150 (C) 145 (D) 108 (E) 112
Answer: D
The timing of a college is from 12 p.m to 4.20 p.m. Six lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture. Answer Choice: (A) 52 minutes (B) 45 minutes (C) 30 minutes (D) 39 minutes (E) 44 minutes
Answer: D
The length of the room is 10m and width is 20m. Find the cost of paving the floor by slabs at the rate of Rs.400 per sq meter? Answer Choice: (A) 70000 (B) 80000 (C) 60000 (D) 50000 (E) 20000
Answer: B
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a gain ? Answer Choice: (A) A)657 (B) B)200 (C) C)438 (D) D)290 (E) E)427
Answer: B
10% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 2907, how much was it in the beginning? Answer Choice: (A) A)3800 (B) B)4200 (C) C)4400 (D) D)4500 (E) E)4600
Answer: A
Which of the following cannot be divided by 3 (the sum of 3 different prime numbers)? Answer Choice: (A) 10 (B) 23 (C) 14 (D) 15 (E) 19
Answer: A
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460? Answer Choice: (A) 28888 (B) 27789 (C) 2777 (D) 14000 (E) 2881
Answer: D
In a stack of cards, 9 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 9/11. What is the number of cards in the stack? Answer Choice: (A) 10 (B) 11 (C) 12 (D) 15 (E) 18
Answer: A
Mrs. Evans gave a test to her freshmen economics class, which has 50 students enrolled and 25 of them answered question 1 correctly. If 20 answered question 2 correctly and 20 did not take the test then how many answered both questions correctly? Answer Choice: (A) 23 (B) 22 (C) 21 (D) 20 (E) 19
Answer: D
Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/7 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent? Answer Choice: (A) 11/30 (B) 29/42 (C) 17/30 (D) 19/30 (E) 11/15
Answer: B
Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did? Answer Choice: (A) 2 minute and 12 seconds. (B) two minutes. (C) 44 seconds. (D) 20 seconds. (E) 12 seconds.
Answer: D
If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even? Answer Choice: (A) 1/6 (B) 1/3 (C) 1/2 (D) 2/3 (E) 5/6
Answer: D
If a man buys 25 lollipops for $100 and sold them for $3 dollars determine his loss. Answer Choice: (A) $ 50 (B) $ 35 (C) $ 52 (D) $ 60 (E) $ 25
Answer: E
4242 × 9999 = ? Answer Choice: (A) 42415758 (B) 42415751 (C) 42415752 (D) 42415753 (E) 42415754
Answer: A
The number of livestock in a farm at the beginning of year 2000 was 120,000. During the year, the number increased by p%. During the next year 2001, there was a famine and the number decreased by q%. A census at the end of year 2001 revealed that the number of livestock in the farm was 120,000. Which of the following expressions is correct? Answer Choice: (A) p = q (B) q > p (C) p > q (D) With the exception of 1 instance, p will be equal to q (E) There is no relation between p and q
Answer: C
A fellow borrowed a certain sum of money at 5% per annum at simple interest and in 5 years the interest amounted to Rs.750 less than the sum lent. What was the sum lent? Answer Choice: (A) 1000 (B) 1220 (C) 1250 (D) 1060 (E) 1110
Answer: A
Find the value of 3.5 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)] Answer Choice: (A) 800 (B) 500 (C) 2800 (D) 1600 (E) None
Answer: C
A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 3 characters in length. This year, it added the option of creating passwords having 4 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters. Answer Choice: (A) 63^4 (B) 62^5 (C) 62(62^4) (D) 63(62^4) (E) 63(62^3)
Answer: E
If the length of a rectangle is increased by 20% and the breadth is reduced by 20%, what will be the effect on its area? Answer Choice: (A) 4% increase (B) 6% increase (C) 5% decrease (D) 4% decrease (E) None of these
Answer: D
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Answer Choice: (A) 65 (B) 69 (C) 30 (D) 31 (E) 32
Answer: C
Two trains 120 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Answer Choice: (A) 10.9 (B) 10.7 (C) 10.3 (D) 10.08 (E) 10.2
Answer: D
A faucet, partially on, fills a bucket with water at a rate of r buckets per minute. If the faucet is turned up it will fill the same bucket at a rate r + 2 buckets per minute, and the same bucket would fill in 2/3 minute less. What is the value of r? Answer Choice: (A) 5 (B) 4 (C) 3 (D) 2 (E) 1
Answer: E
An automobile manufacturer offers a station wagon with either a 10-cylinder engine or a 8-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 10-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon? Answer Choice: (A)  18 (B)  24 (C)  30 (D)  34 (E)  36
Answer: B
An article is bought for Rs.600 and sold for Rs.500, find the loss percent? Answer Choice: (A) 76 2/3% (B) 86 2/3% (C) 66 2/3% (D) 16 2/3% (E) 26 2/3%
Answer: D
What is the 124th digit to the right of the decimal point in the decimal form of 24/44? Answer Choice: (A) 8 (B) 9 (C) 6 (D) 4 (E) 2
Answer: D
Two pipes can fill a tank in 18 minutes and 6 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank? Answer Choice: (A) 1/15 (B) 1/6 (C) 1/11 (D) 1/10 (E) 1/12
Answer: B
A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it? Answer Choice: (A) 33 (B) 77 (C) 24 (D) 55 (E) 71
Answer: C
The average age of a group of 18 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group? Answer Choice: (A) 22 years (B) 30 years (C) 40 years (D) 32 years (E) None of these
Answer: C
A person spent Rs. 7,540 from his salary on food and 5,690 on house rent. After that he was left with 60% of his monthly salary. What is his monthly salary ? Answer Choice: (A) 73,075 (B) 34,075 (C) 23,075 (D) 33,075 (E) 32,075
Answer: D
The ratio between the length and the breadth of a rectangular park is 3 : 1. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is? Answer Choice: (A) 124545 m (B) 134561 m (C) 156787 m (D) 15450 m (E) 120000 m
Answer: E
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) 8.5 km/hr (B) 8.5 km/hr (C) 10 km/hr (D) 12.5 km/hr (E) None of these
Answer: C
22 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres? Answer Choice: (A) 33 (B) 32 (C) 60 (D) Data inadequate (E) None of these
Answer: A
Set A consists of all the prime numbers between 6 and 42. What is the range of set A? Answer Choice: (A) 16 (B) 34 (C) 16.6 (D) 17 (E) 23
Answer: B
Excluding stoppages, the speed of a bus is 86 kmph and including stoppages, it is 76 kmph. For how many minutes does the bus stop per hour? Answer Choice: (A) 7.5 min (B) 16 min (C) 20 min (D) 7 min (E) 40 min
Answer: D
A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle? Answer Choice: (A) 2.5π (B) 3π (C) 5π (D) 4π (E) 10π
Answer: C
A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet? Answer Choice: (A) 10.30 p.m (B) 10.20 p.m (C) 10.50 p.m (D) 10.38 p.m (E) 10.40 p.m
Answer: C
189. The inside dimensions of a rectangular wooden box
are 2 inches by 4 inches by 6 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume? Answer Choice: (A)  2 (B)  4 (C)  5 (D)  6 (E)  8
Answer: A
A man can row upstream at 25 kmph and downstream at 55 kmph, and then find the speed of the man in still water? Answer Choice: (A) 65 (B) 40 (C) 30 (D) 78 (E) 38
Answer: B
Several people are sitting around a round table playing a card game with a deck of 56 cards. Each person is dealt one card per deal, and the cards are dealt in a clockwise fashion. If Martin is dealt both the first card of the deck and the last card of the deck, which of the following could be the total number of people sitting at the table? Answer Choice: (A) 4 (B) 6 (C) 7 (D) 11 (E) 13
Answer: D
8 points are marked on a straight line and another 7 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) 264 (B) 91 (C) 168 (D) 196 (E) 264
Answer: A
In a partnership between A, B and C. A's capital is Rs.7000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital? Answer Choice: (A) 23676 (B) 19766 (C) 29172 (D) 16450 (E) 11267
Answer: D
A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 700 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day? Answer Choice: (A) 2880. (B) 4860. (C) 5780 (D) 5040 (E) 6380.
Answer: D