loafeihong/math_mmlu_format huggingface dataset:
A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 140, how much must C pay as his share of rent? Answer Choice: (A) 45 (B) 36 (C) 55 (D) 65 (E) none
Answer: B
A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 10% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is: Answer Choice: (A) 12000 (B) 6000 (C) 8000 (D) 10000 (E) None of these
Answer: A
If |x^2 − 12| = x, which of the following could be the value of x? Answer Choice: (A) –4 (B) –3 (C) 1 (D) 2 (E) 3
Answer: E
We invested a total of $1,000. We invested one part of the money at 3% and the rest of the money at 5%. The total investment with interest at the end of the year was $1,046. How much money did we invest at 3%? Answer Choice: (A) $200 (B) $240 (C) $280 (D) $320 (E) $360
Answer: A
Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 5.5 km apart, if they walk in the same direction? Answer Choice: (A) 11 hrs (B) 14 hrs (C) 15 hrs (D) 17 hrs (E) None
Answer: A
You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter? Answer Choice: (A) 5 (B) 6 (C) 9 (D) 12 (E) 18
Answer: D
In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is? Answer Choice: (A) 32% (B) 42% (C) 52% (D) 62% (E) 72%
Answer: C
A man buys an article for rs.27.50 and sells it for rs.28.50. find his gain %. Answer Choice: (A) 4% (B) 5% (C) 3.5% (D) 5.5% (E) 4.5%
Answer: A
1/2+[(2/3*3/8)+4]-7/16= Answer Choice: (A) 29/16 (B) 19/16 (C) 69/16 (D) 9/13 (E) 0
Answer: C
In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 32. In the company, what is the maximum number of non-managers in a department that has 9 managers? Answer Choice: (A) 39 (B) 40 (C) 41 (D) 42 (E) 43
Answer: C
Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar? Answer Choice: (A) Rs. 1(2/9) (B) Rs. 2(2/9) (C) Rs. 2(1/9) (D) Rs. 3(2/7) (E) Rs. 4(2/9)
Answer: B
A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes? Answer Choice: (A) 100 (B) 277 (C) 2987 (D) 278 (E) 271
Answer: A
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103? Answer Choice: (A) 2500 m^2 (B) 2510 m^2 (C) 2520 metre sq (D) 2540 m^2 (E) 2590 m^2
Answer: C
A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 8, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist? Answer Choice: (A) 27 (B) 9 (C) 72 (D) 112 (E) 422
Answer: B
Set S consists of 5 values, not necessarily in ascending order: {4, 8, 12, 16, x}. For how many values of x does the mean of set S equal the median of set S? Answer Choice: (A) Zero (B) One (C) Two (D) Three (E) More than three
Answer: D
An inspector rejects 0.02% of the meters as defective. How many will he examine to reject 2? Answer Choice: (A) A)1500 (B) B)10000 (C) C)2500 (D) D)3000 (E) E)3100
Answer: B
A train travels from station A to station B. If the train leaves station A and makes 75 km/hr, it arrives at station B 48 minutes ahead of scheduled. If it made 50 km/hr, then by the scheduled time of arrival it would still have 40 km more to go to station B. Find the distance between the two stations. Answer Choice: (A) 210 (B) 200 (C) 220 (D) 230 (E) 240
Answer: E
A train , having a length of 330 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train Answer Choice: (A) 10 sec (B) 18 sec (C) 6 sec (D) 4 sec (E) 2 sec
Answer: B
When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 40? Answer Choice: (A) 7 (B) 21 (C) 34 (D) 47 (E) 55
Answer: C
Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 20 candidates. She plans to have one working interview with 3 of the 20 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) 520 (B) 120 (C) 300 (D) 30 (E) 333
Answer: A
The tax on a commodity is diminished by 20% and its consumption increased by 25%. The effect on revenue is? Answer Choice: (A) 2% decrease (B) 8% decrease (C) 9% decrease (D) 0% No change (E) 2% decrease
Answer: D
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train? Answer Choice: (A) 78.2 km/hr (B) 89.2 km/hr (C) 73.2 km/hr (D) 79.2 km/hr (E) 73.7km/hr
Answer: D
A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, which can be repeated. If the product of the digits in the area code must be odd, how many different codes can be created? Answer Choice: (A) 20 (B) 22 (C) 24 (D) 1 (E) 30
Answer: D
A salesman commission is 5% on all sales upto $10000 and 4% on all sales exceeding this. He remits $31100 to his parent company after deducting his commission. Find the total sales? Answer Choice: (A) $30000 (B) $32500 (C) $35120 (D) $41520 (E) $25460
Answer: B
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 170 cookies, what percent of the cookies did Nell bake? Answer Choice: (A) 0.125% (B) 1.25% (C) 11.7% (D) 125% (E) 0.152%
Answer: C
Shreyas bought an article and sold it for 112% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.42750/-? Answer Choice: (A) Rs.24600 (B) Rs.38169 (C) Rs.38989 (D) Rs.23200 (E) None of these
Answer: B
If x and y are perfect squares, then which one of the following is not necessarily a perfect square? Answer Choice: (A) x^2 (B) xy (C) 4x (D) x+y (E) x^5
Answer: D
A certain university will select 1 of 4 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions? Answer Choice: (A) 42 (B) 70 (C) 140 (D) 180 (E) 315
Answer: D
A family consists of six members P, Q, R, S, T and U. There are two married couples. Q is a doctor and the father of T. U is grandfather of R and is a contractor. S is grandmother of T and is a housewife. There is one doctor, one contractor, one nurse, one housewife and two students in the family. Which of the following is definitely a group of male members ? Answer Choice: (A) QU (B) UU (C) QI (D) QH (E) HS
Answer: A
What is the area of square field whose side of length 7 m? Answer Choice: (A) 225 (B) 662 (C) 772 (D) 882 (E) 49
Answer: E
What is 5 2/3 - 3 5/4 divided by 5/2 - 7/6 ? Answer Choice: (A) 2 (B) 6 (C) 4 (D) 5 (E) 1
Answer: E
√6 percent of 6√6 = Answer Choice: (A) 0.3 (B) 0.25 (C) 0.1 (D) 0.95 (E) 0.35
Answer: E
The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choice: (A) 16/35 (B) 16/37 (C) 16/39 (D) 16/33 (E) 18/31
Answer: A
A sum of money place at compound interest doubles itself in 3 years. In how many years will it amount to eight times itself? Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: C
The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 squares feet, how much will it cost to paint outside of a cube having 8 feet each side? Answer Choice: (A) Rs. 692 (B) Rs. 768 (C) Rs. 876 (D) Rs. 972 (E) None
Answer: C
The amount of water (in ml) that should be added to reduce 15 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is? Answer Choice: (A) 8 ml (B) 5 ml (C) 4 ml (D) 6 ml (E) 10 ml
Answer: E
CP of one kg apple is Rs.9 and thereby loses 20%. At what price per kg, we should have sold them to make a profit of 5%? Answer Choice: (A) 10 (B) 11.81 (C) 11.92 (D) 12.4 (E) 12.56
Answer: B
517 + 5.017 + 0.517 + 5.0017 = ? Answer Choice: (A) 558.3657 (B) 527.5357 (C) 229.6357 (D) 629.5637 (E) 629.6753
Answer: B
A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ? Answer Choice: (A) 30 min (B) 23 min (C) 25 min (D) 28 min (E) 40 min
Answer: A
A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Friday at 09 AM, what will be the time at the end of 10 days? Answer Choice: (A) 09:54:40 AM (B) 09:56:24 AM (C) 10:16:40 AM (D) 10:06:36 AM (E) 09:54:24 AM
Answer: E
If the average of 9 digits is 18 and the average of 4 of them is 8, calculate the average of the remaining 5 numbers? Answer Choice: (A) 21 (B) 26 (C) 27 (D) 22 (E) 29
Answer: B
4 weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 6 weavers in 6 days? Answer Choice: (A) 6 (B) 9 (C) 12 (D) 15 (E) 18
Answer: B
If y is 40 percent greater than x, then x is what percent less than y? Answer Choice: (A) 18% (B) 21% (C) 25% (D) 29% (E) 35%
Answer: D
If an object travels at sixty feet per minute, how many feet does it travel in one hour? Answer Choice: (A) 60 (B) 3000 (C) 2400 (D) 1800 (E) 3600
Answer: E
Siddharth wants to borrow Rs.8000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction? Answer Choice: (A) s.28.80 (B) s.21.68 (C) s.21.18 (D) s.21.98 (E) s.21.29
Answer: A
A company’s four cars running 10 hrs a day consume 1500 lts of fuel in 10 days. In the next 6 days, the company will need to run 9 cars for 12 hrs each so it rents 5 more cars which consume 20% less fuel than the company’s four cars. How many lts of fuel will be consumed in the next 6 days? Answer Choice: (A) 1200 lt (B) 1555 lt (C) 1664 lt (D) 1728 lt (E) 2160 lt
Answer: E
In a sample of college students, 50 percent are third year students and 70 percent are not second-year students. What fraction of those students who are not third-year students are second-year students? Answer Choice: (A) 2/3 (B) 1/4 (C) 2/5 (D) 3/7 (E) 2/9
Answer: A
A firm has 5 senior partners and 6 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? (Note that two groups are considered different if at least one group member is different.) Answer Choice: (A) 130 (B) 135 (C) 140 (D) 145 (E) 150
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) 33.0% (C) 22% (D) 77% (E) 54%
Answer: A
The price of a car is Rs. 3,25,000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received? Answer Choice: (A) Rs.32.500 (B) Rs.48,750 (C) Rs.76,375 (D) Rs.81,250 (E) None
Answer: C
90, 180, 12, 50, 100, 160, ?, 3, 40, 4, 25, 2, 6, 30, 3 Answer Choice: (A) 100 (B) 150 (C) 180 (D) 120 (E) 220
Answer: D
Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 10 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank? Answer Choice: (A) 13 (B) 17 (C) 15 (D) 19 (E) 12
Answer: C
What is the place value of 7 in the numeral 2734? Answer Choice: (A) 70 (B) 7 (C) 700 (D) 7.0 (E) 800
Answer: C
WINK, Inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 7/8 probability that task 1 will be completed on time, and a 1/5 probability that task 2 will be completed on time. On a certain day, what is the probability that task 1 will be completed on time, but task 2 will not? Answer Choice: (A) 1/20 (B) 3/40 (C) 13/40 (D) 7/10 (E) 13/22
Answer: D
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.50 for every box, and if the university needs 2.16 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes? Answer Choice: (A) $155 (B) $225 (C) $510 (D) $850 (E) $1250
Answer: B
Evaluate (12 + 22 + 32 + ... + 102) Answer Choice: (A) 430 (B) 720 (C) 385 (D) 265 (E) 295
Answer: C
A train met with an accident 70km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train? Answer Choice: (A) 60 km/hr (B) 55 km/hr (C) 65 km/hr (D) 70 km/hr (E) 48 km/hr
Answer: D
If R, x, y, and z are positive integers and (x)×(y)×(z)=R^2, which of the following could be the values of x, y, and z? Answer Choice: (A) 3, 16, 25 (B) 9, 25, 24 (C) 2, 9, 32 (D) 2, 9, 16 (E) 8, 16, 36
Answer: C
The average of 5 quantities is 8. The average of 3 of them is 4. What is the average of remaining 2 numbers? Answer Choice: (A) 14 (B) 10 (C) 8 (D) 9.5 (E) None of these
Answer: A
In the first 10 overs of a cricket game, the run rate was only 2.1. What should be the rate in the remaining 30 overs to reach the target of 282 runs? Answer Choice: (A) 6.25 (B) 8.28 (C) 6.11 (D) 8.7 (E) 8.11
Answer: D
The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square? Answer Choice: (A) 388 (B) 800 (C) 277 (D) 126 (E) 191
Answer: B
A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work? Answer Choice: (A) 23 (B) 21 (C) 77 (D) 92 (E) 61
Answer: B
A bag contains 18 purple jellybeans, 12 green jellybeans, and 16 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be green? Answer Choice: (A) 15% (B) 20% (C) 26% (D) 30% (E) 35%
Answer: C
24 men can complete a work in 16 days.32 women can complete the same work in 24 days.16 men and 16 women started working and worked for 12 days. How many more men are to be added to complete the remaining work in 2 days? Answer Choice: (A) 16 (B) 24 (C) 36 (D) 48 (E) 49
Answer: B
Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju Answer Choice: (A) 28 (B) 17 (C) 10 (D) 77 (E) 66
Answer: C
Arun purchased 35 kg of rice at the rate of Rs 9.50 per kg and 30 kg at the rate of Rs 10.50 per kg. He mixed the two. Approximately, at what price per kg should he sell the mixture to make 35 % profit in the transaction?. Answer Choice: (A) 12 Rs (B) 13 Rs (C) 13.5 Rs (D) 14 Rs (E) None of these
Answer: C
In what time will a train 150 m long cross an electric pole, it its speed be 144 km/hr? Answer Choice: (A) 2.5 sec (B) 3.75 sec (C) 3.5 sec (D) 7.5 sec (E) 2.4 sec
Answer: B
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length? Answer Choice: (A) 16.7 (B) 16.8 (C) 16.5 (D) 16.1 (E) 16.2
Answer: B
A women travels from X to Y distance of 1000 miles in 10 hours. she returns to X in 4 hours. Find her average speed Answer Choice: (A) 300mph (B) 150.2mph (C) 142.8mph (D) 200mph (E) 111.01mph
Answer: C
In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent H of her bushes have only yellow roses? Answer Choice: (A) 20 (B) 30 (C) 50 (D) 70 (E) 80
Answer: B
If the diagonals of a rhombus are 24 cm and 10 cm, what will be its perimeter Answer Choice: (A) 42 cm (B) 64 cm (C) 56 cm (D) 52 cm (E) None of these
Answer: D
If a bike moving at the speed of x km/hr travels a distance of y km, which of the following cannot be equal to the distance traveled? Answer Choice: (A) x-y km (B) x/2 km (C) y-x km (D) y/x km (E) (x-y)/2 km
Answer: C
A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank? Answer Choice: (A) 24 hours (B) 28 hours (C) 32 hours (D) 36 hours (E) None of these
Answer: B
The price of a jacket is reduced by 25%. During a special sale the price of the jacket is reduced another 30%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount? Answer Choice: (A) 105 (B) 45 (C) 85 (D) 95 (E) 90.5
Answer: E
A trader marks his articles 20% more than the cost price. If he allows 20% discount, then find his gain or loss percent? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 7 (E) 4
Answer: E
A survey was sent to 80 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey? Answer Choice: (A) 2% (B) 5% (C) 14% (D) 28% (E) 63%
Answer: B
How many multiples of 5 are there between 5 to 85? Answer Choice: (A) 15 (B) 18 (C) 17 (D) none of these (E) Cannot be determined
Answer: A
Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part? Answer Choice: (A) 26 (B) 30 (C) 31 (D) 34 (E) 35
Answer: C
A can do a work in 15 days and B in 20 days. If they work on it together for 5 days, then the fraction of the work that is left is Answer Choice: (A) 8/17 (B) 7/15 (C) 3/15 (D) 5/12 (E) 1/4
Answer: D
What is the value of 3x^2 − 1.8x + 0.8 for x = 0.6? Answer Choice: (A) −0.3 (B) 0.8 (C) 0.3 (D) 1.08 (E) 2.46
Answer: B
John purchased some shirts and trousers for $700. He paid $400 less for the shirts than he did for the trousers. If he bought 5 shirts and the cost of a shirt is $20 less than that of a trouser, how many trousers did he buy? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 11
Answer: E
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) 7 kmph (B) 6 kmph (C) 4 kmph (D) 3 kmph (E) 2 kmph
Answer: B
In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes? Answer Choice: (A) 5 C 3 (B) 5 P 3 (C) 5(3) (D) 3(5) (E) 2(5)
Answer: D
-84x29+365=? Answer Choice: (A) 2436 (B) 2801 (C) -2801 (D) -2071 (E) None of them
Answer: D
In a certain mathematical activity, we start with seven cards, each with a different prime number written on it. These seven cards are randomly put into three boxes in the following way: one box must get four cards, one must get two, and one gets only one. Then, for each box, we find the product of all the cards in the box, and that’s the “number” of the box. Then, we put those three numbers in order, from lowest to highest, and that is our set. How many different sets R can be created from this process? Answer Choice: (A)  35 (B)  105 (C)  210 (D)  420 (E)  630
Answer: B
48 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume? Answer Choice: (A) 8 (B) 12 (C) 13 (D) 14 (E) 16
Answer: B
Gauri went to the stationers 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) 15 (B) 15.7 (C) 19.7 (D) 19.2 (E) 18
Answer: C
The triplicate ratio of 1:9 is? Answer Choice: (A) 1:0 (B) 1:8 (C) 1:7 (D) 1:2 (E) 1:729
Answer: E
If a and b are positive real numbers, and a^3 + b^3 = 20, then the greatest possible value of a is between: Answer Choice: (A) 0 and 3 (B) 3 and 4 (C) 4 and 5 (D) 5 and 7 (E) 7 and 9
Answer: A
In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes? Answer Choice: (A) 3 (B) 9 (C) 35 (D) 25 (E) 215
Answer: C
In a class, there are 21 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ? Answer Choice: (A) 8 (B) 14 (C) 18 (D) 24 (E) 26
Answer: B
How many 3 digit positive integers E exist that when divided by 7 leave a remainder of 5? Answer Choice: (A) 128 (B) 142 (C) 143 (D) 141 (E) 129
Answer: E
On a wedding catering service, An experienced chef can prepare a service for a wedding in 6 hours while an novice chef would finish the preparations in 7 hours.
If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 8
Answer: C
If (x+3)^2/(2x+15)=3, then the difference between the two possible values of x is: Answer Choice: (A) 8 (B) 10 (C) 12 (D) 14 (E) 16
Answer: C
In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women? Answer Choice: (A) 266 (B) 86400 (C) 11760 (D) 5040 (E) None of these
Answer: C
Excluding stoppages, the speed of a train is 55 kmph and including stoppages it is 30 kmph. Of how many minutes does the train stop per hour? Answer Choice: (A) 82 (B) 27 (C) 12 (D) 82 (E) 18
Answer: B
Find the remainder when 32^33^34 is divided by 11 Answer Choice: (A) 22 (B) 10 (C) 99 (D) 76 (E) 28
Answer: B
In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C is Answer Choice: (A) 33 (B) 10 (C) 88 (D) 37 (E) 32
Answer: B
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.6. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded? Answer Choice: (A) 0.49 (B) 0.42 (C) 0.45 (D) 0.48 (E) 0.5
Answer: B
What is the place value of 3 in the numeral 2734? Answer Choice: (A) 45 (B) 30 (C) 43 (D) 56 (E) 40
Answer: B
A alone can complete a work in 16 days and B alone can do in 12 days. Starting with A, they work on alternate days. The total work will be completed in Answer Choice: (A) 13 1/4 (B) 13 1/2 (C) 13 3/4 (D) 13 4/4 (E) 13 2/3
Answer: C
Find the average of all prime numbers between 30 and 50 Answer Choice: (A) 15 (B) 42 (C) 45 (D) 34 (E) 26
Answer: B
For 6-digit integer 46x,y12, when x and y are drawn at random from {3,5,8}, what is the probability Q that the integer drawn is divisible by 8?
* A solution will be posted in two days. Answer Choice: (A) 1/6 (B) 1/3 (C) 1/2 (D) 2/3 (E) 5/6
Answer: D