loafeihong/math_mmlu_format huggingface dataset:
A hen leaps 3 leaps for every 2 leaps of a duck, but 4 leaps of the duck are equal to 3 leaps of the hen. What is the ratio of the speed of the hen to that of the duck? Answer Choice: (A) 2:1 (B) 3:4 (C) 4:3 (D) 1:4 (E) 5:6
Answer: A
What is the fraction in the simplest form of the terminating decimal 0.0325? Answer Choice: (A) 31/40 (B) 41/30 (C) 13/40 (D) 1/30 (E) 1/40
Answer: C
How many multiples of 4 are there between 12 and 104, inclusive? Answer Choice: (A) 21 (B) 22 (C) 23 (D) 24 (E) 25
Answer: D
How many integers from 101 to 800, inclusive, remains the value unchanged when the digits were reversed? Answer Choice: (A) 50 (B) 60 (C) 70 (D) 80 (E) 90
Answer: C
For which of the following functions f is f(a) = f(1-a) for all a? Answer Choice: (A) f (x) = 1 - x (B) f (a) = 1 - a^2 (C) f (a) = a^2 - (1 - a)^2 (D) f (a) = a^2*(1 - a)^2 (E) f (x) = x/(1 - x)
Answer: D
The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive integers. If the average (arithmetic mean) of the three numbers is 36, what is the value of a? Answer Choice: (A) 21 (B) 24 (C) 25 (D) 27 (E) 30
Answer: B
A student has to obtain 50% of the total marks to pass. He got 200 marks and failed by 20 marks. The maximum marks are? Answer Choice: (A) 510 (B) 520 (C) 530 (D) 540 (E) 440
Answer: E
Three medical experts, working together at the same constant rate, can write an anatomy textbook in 18 days. How many additional experts, working together at this same constant rate, are needed to write the textbook in 9 days? Answer Choice: (A) 2 (B) 3 (C) 5 (D) 8 (E) 15
Answer: B
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price? Answer Choice: (A) Rs.1000 (B) Rs.1009 (C) Rs.1007 (D) Rs.1006 (E) Rs.1002
Answer: A
How many words can be formed by using all letters of the word ‘BIHAR’ ? Answer Choice: (A) 110 (B) 120 (C) 130 (D) 140 (E) None of these
Answer: B
Two discounts of 40% and 20% equal to a single discount of? Answer Choice: (A) 52% (B) 48% (C) 60% (D) 80% (E) 70%
Answer: A
In a recent election, James received 5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 50 percent of the vote. How many additional votes would James have needed to win the election? Answer Choice: (A) 901 (B) 989 (C) 990 (D) 991 (E) 1,001
Answer: A
In a certain pond, 70 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond? Answer Choice: (A) 400 (B) 625 (C) 1,750 (D) 2,500 (E) 10,000
Answer: C
Three unbased coins are tossed. the probability of getting at most three head is ? Answer Choice: (A) 1/2 (B) 7/8 (C) 3/4 (D) 1/5 (E) 1/8
Answer: E
If pqr = 1, the value of the expression (1 / ( 1 + p + q-1)) + (1 / ( 1 + p + r-1)) + (1 / ( 1 + p + p-1)) Answer Choice: (A) p + q + r (B) 1/ (p + q + r ) (C) 1 (D) p ^ (-1) + q ^ (-1) + r ^ (-1) (E) None
Answer: C
How many different numbers can we have by changing the position of the digits of the number 718844? Answer Choice: (A) 15 (B) 90 (C) 180 (D) 360 (E) 720
Answer: C
A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit? Answer Choice: (A) 1400 (B) 1500 (C) 1600 (D) 1200 (E) 1800
Answer: B
A,B,C can complete a piece of work in 16,6,12 days. Working together, they complete the same work in how many days? Answer Choice: (A) 2 (B) 48/15 (C) 7/9 (D) 10 (E) 24/7
Answer: B
The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes? Answer Choice: (A) 1:9 (B) 1:2 (C) 1:8 (D) 1:1 (E) 1:6
Answer: C
A train 700 m long can cross an electric pole in 20 sec and then find the speed of the train? Answer Choice: (A) 117 Kmph (B) 178 Kmph (C) 126 Kmph (D) 118 Kmph (E) 119 Kmph
Answer: C
If 20 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) 40%
Answer: E
A can finish a work in 24 days, B n 9 days and C in 12 days. B&C start the
work but are forced to leave after 3 days. The remaining work done by A in: Answer Choice: (A) 15 (B) 12 (C) 10 (D) 16 (E) 18
Answer: C
A boy writes all the numbers from 100 to 999. The number of zeroes that he uses is 'a', the number of 5's that he uses is 'b' and the number of 8's he uses is 'c'.
What is the value of b+c−a? Answer Choice: (A) 280 (B) 380 (C) 180 (D) 80 (E) 90
Answer: B
A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets? Answer Choice: (A) 288 (B) 2778 (C) 279 (D) 450 (E) 278
Answer: D
How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 720 meters in length? Answer Choice: (A) 28 (B) 27 (C) 55 (D) 59 (E) 12
Answer: D
Which number should replace both the asterisks in (* /18) x (*/162) = 1 ? Answer Choice: (A) 27 (B) 36 (C) 54 (D) 72 (E) 90
Answer: C
If 3<x<6<y<11, then what is the greatest possible positive integer difference of x and y? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: E
Of all the homes on Gotham Street, 2/3 are termite-ridden, and 1/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing? Answer Choice: (A) a) 2/15 (B) b) 8/15 (C) c) 4/5 (D) d) 2/5 (E) e)1/5
Answer: B
How many of the following numbers are divisible by 3 but not by 9?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276 Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: B
How many W ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl? Answer Choice: (A) 6C4 (B) 6P4 (C) 4^6 (D) 6^4 (E) 6!
Answer: C
A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B? Answer Choice: (A) 27782 (B) 12800 (C) 28892 (D) 26702 (E) 27902
Answer: B
A 15% stock yielding 12% is quoted at: Answer Choice: (A) s. 83.33 (B) s. 110 (C) s. 112 (D) s. 125 (E) s. 140
Answer: D
A group of n students can be divided into equal groups of 3 with 1 student left over or equal groups of 6 with 1 students left over. What is the sum of the two smallest possible values of n? Answer Choice: (A) 33 (B) 46 (C) 49 (D) 53 (E) 86
Answer: E
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 24% home electronics; 15% food additives; 19% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research? Answer Choice: (A) 8° (B) 10° (C) 18° (D) 36° (E) 72°
Answer: E
How much water must be added to 64 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre? Answer Choice: (A) 16 litres (B) 12 litres (C) 15 litres (D) 18 litres (E) None of these
Answer: A
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is? Answer Choice: (A) 22 (B) 71 (C) 54 (D) 77 (E) 99
Answer: C
If 2x + y = 7 and x + 2y = 5, then 5xy/3 =? Answer Choice: (A) A) 5 (B) B) 2 (C) C) 17/5 (D) D) 18/5 (E) E) 4
Answer: A
The difference between a number and its two-fifth is 510. What is 50% of that number? Answer Choice: (A) 426 (B) 425 (C) 427 (D) 428 (E) 429
Answer: B
A soccer coach is preparing his starting lineup of 11 players chosen from 15 players. He considers 8 of his players good at defense and 7 of his players good at offense. If he wants to pick 6 players best at defense and 5 players best at offense, how many different ways can he do this? Answer Choice: (A) 264 (B) 328 (C) 460 (D) 588 (E) 642
Answer: D
A certain company has budgeted $1380 for entertainment expenses for the year, divided into 12 equal monthly allocations. If by the end of the third month, the total amount spent on entertainment was $250, how much was the company under budget or over budget? Answer Choice: (A) $95 under budget (B) $35 under budget (C) $35 over budget (D) $95 over budget (E) $125 over budget
Answer: A
If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following? Answer Choice: (A) 2 (B) 4 (C) 5 (D) 8 (E) 10
Answer: D
The average mark of a class of twenty two students is 65. If four students whose marks are 25, 32,28 and 34 are removed , then find the approximate average mark of the remaining students of the class. Answer Choice: (A) 71 (B) 73 (C) 57 (D) 70 (E) 80
Answer: B
A factory produces 6000 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day? Answer Choice: (A) 4436 toys (B) 1500 toys (C) 6113 toys (D) 2354 toys (E) 1375 toys
Answer: B
In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
Of the 400 members at a health club, 260 use the weight room and 300 use the pool. If at least 80 of the members do not use either, then the number of members using both the weight room and the pool must be between: Answer Choice: (A) 40 to 100 (B) 240 to 280 (C) 230 to 260 (D) 240 to 260 (E) 200 to 260
Answer: D
From a bunch of six keys, three particular keys have to be used to open a combination lock, such that the second key can be used only after the first key and the third key can be used only after the second key. What are the chances of opening the lock in a random selection of three keys? Answer Choice: (A) 1/20 (B) 1/30 (C) 1/60 (D) 1/80 (E) 1/120
Answer: E
What is the smallest integer k for which 64^k > 4^19? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: D
A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be? Answer Choice: (A) 20 cm (B) 15 cm (C) 30 cm (D) 40 cm (E) 45 cm
Answer: A
There are 18 balls in a jar. You take out 3 black balls without putting them back inside, and now the probability of pulling out a black ball is 1/3. How many blue balls were there in the beginning? Answer Choice: (A) 12. (B) 9. (C) 8. (D) 7. (E) 6.
Answer: C
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months? Answer Choice: (A) 18:11 (B) 18:15 (C) 14:11 (D) 18:67 (E) 18:12
Answer: A
If each term in the sum Q=a1+a2+a3+...+an either 2 or 22 and the sum equals 100, which of the following could be equal to n? Answer Choice: (A) 38 (B) 39 (C) 40 (D) 41 (E) 42
Answer: C
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank? Answer Choice: (A) 33 (B) 88 (C) 27 (D) 10 (E) 88
Answer: D
There are 89 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there? Answer Choice: (A) 2 (B) 4 (C) 8 (D) 59 (E) 32
Answer: D
The area of sector of a circle whose radius is 15 metro and whose angle at the center is 42Â° is? Answer Choice: (A) 52.6 (B) 52.9 (C) 52.8 (D) 52.1 (E) 82.5
Answer: E
The expression 10^14−100 is divisible by all of the following integers EXCEPT Answer Choice: (A) 2 (B) 3 (C) 4 (D) 8 (E) 7
Answer: E
David is able to sell a hand-carved statue for $1150 which was a 15% profit over his cost. How much did the statue originally cost him? Answer Choice: (A) $496.30 (B) $512.40 (C) $1000 (D) $574.90 (E) $588.20
Answer: C
A certain school implemented a reading program for its students, with the goal of getting each student to read 7 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year? Answer Choice: (A) 20cs (B) cs/2 (C) 84cs (D) (2cs)/12 (E) (24c)/s
Answer: C
A sum of money place at compound interest doubles itself in 6 years. In how many years will it amount to eight times itself? Answer Choice: (A) 6 (B) 12 (C) 18 (D) 24 (E) 30
Answer: C
Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Answer Choice: (A) 5 (B) 2 (C) 9 (D) 7 (E) 1
Answer: B
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is? Answer Choice: (A) 8118 (B) 8127 (C) 8618 (D) 8112 (E) 8128
Answer: D
There are 6 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes Answer Choice: (A) 1/3 (B) 1/4 (C) 1/2 (D) 1/5 (E) 1/6
Answer: A
If 5^y+ 6^(y) = 61, which of the following is the value of y? Answer Choice: (A) 5 (B) 1 (C) 3 (D) 4 (E) 2
Answer: E
7 teams compete in a track competition. If there are 17 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: D
In a class of 20 students, 2 students did not borrow any books from the library, 8 students each borrowed 1 book, 5 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed ? Answer Choice: (A) 3 (B) 5 (C) 10 (D) 13 (E) 15
Answer: C
A certain basketball team that has played 2/3 of its games has a record of 18 wins and 2 losses. What is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games? Answer Choice: (A)  7 (B)  6 (C)  5 (D)  4 (E)  3
Answer: C
A ferry can transport 100 tons of vehicles. Automobiles range in weight from 1,600 to 3,000 pounds. What is the greatest number of automobiles that can be loaded onto the ferry? Answer Choice: (A) 110 (B) 128 (C) 115 (D) 130 (E) 120
Answer: E
A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many L cubes are painted on only 2 faces? Answer Choice: (A) 12 (B) 8 (C) 6 (D) 10 (E) 16
Answer: A
A computer program assigns consecutive numbers to the days of the week. Sunday is 1, Monday is 2, ..... and Saturday is 7. Every day, the computer program calculates the value of parameter D according to the following definition: D is the number of the day times the value of D on the previous day. If the computer calculated D to be 8 on Wednesday, what would be the value of D calculated on the following Saturday? Answer Choice: (A) 1680 (B) 1830 (C) 2250 (D) 2400 (E) 3260
Answer: A
Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 100kmph, find the rate at which the train B runs. Answer Choice: (A) 40 (B) 60 (C) 120 (D) 80 (E) 150
Answer: E
If the average marks of three batches of 55, 60 and 45 students respectively is 30, 55, 60, then the average marks of all the students is: Answer Choice: (A) 53.33 (B) 54.68 (C) 55 (D) 47.81 (E) None of these
Answer: D
Machine A takes 100 hours to complete a certain job and starts that job at 7AM. After two hour of working alone, machine A is joined by machine B and together they complete the job at 6PM. How long would it have taken machine B to complete the jobif it had worked alone for the entire job? Answer Choice: (A) 10.11 (B) 9.99 (C) 11.1 (D) 44.11 (E) 1.01
Answer: A
An amount of Rs. 3000 becomes Rs. 3600 in four years at simple interest. If the rate of interest was 1% more, then what was be the total amount? Answer Choice: (A) Rs.3776 (B) Rs.3729 (C) Rs.3720 (D) Rs.3778 (E) Rs.3992
Answer: C
Find the area of circle whose radius is 7m? Answer Choice: (A) 187 (B) 154 (C) 177 (D) 288 (E) 298
Answer: B
A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 5 consecutive spaces in a random direction, what is the probability the piece ends no more than 5 spaces from the square numbered 49? Answer Choice: (A) 15% (B) 8% (C) 11% (D) 12% (E) 13%
Answer: C
There are 8 women and 7 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible? Answer Choice: (A) 332 (B) 450 (C) 362 (D) 476 (E) 588
Answer: E
The average marks of 30 students are 45 but after checking there are two mistakes found. After adjustment if a student got 45 more markes and other student got 15 less marks, then What will be the adjusted average? Answer Choice: (A) 45 (B) 44 (C) 47 (D) 46 (E) None of these
Answer: B
Suppose there are 4 books on fairy tales, 5 novels and 3 plays. They have to be arranged so that the books on fairy tales are together, novels are together and plays are together, but we no longer require that they should be in a specific order. In how many ways can this be done? Answer Choice: (A) 103680 (B) 113689 (C) 125569 (D) 136690 (E) None
Answer: A
If five machines working at the same rate can do 3/4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3/5 of the job? Answer Choice: (A) 45 (B) 60 (C) 75 (D) 80 (E) 100
Answer: B
In two alloys, copper and tin are related in the ratios of 4:1 and 1:3. 10kg of Ist alloy, 16 kg of 2nd alloy and some pure copper melted together. An alloy obtained in which the ratio of copper and tin was 3:2. Find the weight of the new alloy. Answer Choice: (A) 34kg (B) 35kg (C) 36kg (D) 30kg (E) 32kg
Answer: B
The least common multiple of positive integer f and 3-digit integer n is 690. If n is not divisible by 3 and f is not divisible by 2, what is the value of n? Answer Choice: (A) 115 (B) 230 (C) 460 (D) 575 (E) 690
Answer: B
x/2y = 2a,then 2x/x-2ay=? Answer Choice: (A) 4 (B) 8 (C) 16 (D) 2 (E) 6
Answer: A
Which no. need to add to 859622 to get a no. exactly divisible by 456? Answer Choice: (A) 546577 (B) 674645 (C) 566578 (D) 465766 (E) 859622
Answer: E
If population of certain city increases at the rate of 5%. If population in 1981 was 231525, then population in 1978 was? Answer Choice: (A) 120000 (B) 228788 (C) 266891 (D) 267689 (E) 200000
Answer: E
In how many different ways can 5 identical blue pants and 5 identical red pants be shared among 10 children such that each child receives a pant? Answer Choice: (A) 628800 (B) 4628800 (C) 2628800 (D) 3628800 (E) 1628800
Answer: D
During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 20 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip? Answer Choice: (A) 8.5% (B) 50% (C) x/12% (D) 60/x% (E) 400/x%
Answer: E
Every student in a room is either a junior or a senior. There is at least one junior and at least one senior in the room. If 1/3 of the juniors is equal to 4/3 of the seniors, what fraction of the students in the room are juniors? Answer Choice: (A) 3/20 (B) 1/3 (C) 5/2 (D) 2/7 (E) 4/5
Answer: E
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is Answer Choice: (A) Rs. 500 (B) Rs. 515 (C) Rs. 550 (D) Rs. 600 (E) None
Answer: A
k = 2^n + 3, where n is an integer greater than 1. If k is divisible by 9, which of the following MUST be divisible by 9? Answer Choice: (A) 2^n - 6 (B) 2^n - 2 (C) 2^n (D) 2^n + 4 (E) 2^n + 5
Answer: A
If a new town has 100 residents, and the population doubles every 10 years, what will be its population after 75 years? Answer Choice: (A) 6034 residents (B) 9051 residents (C) 12068 residents (D) 15075 residents (E) 18102 residents
Answer: E
The average (arithmetic mean) of 4 positive integers is 50. If the average of 2 of these integers is 35, what is the greatest possible value that one of the other 2 integers can have? Answer Choice: (A) 55 (B) 65 (C) 100 (D) 109 (E) 129
Answer: E
A rectangular floor measures 2 by 3 meters. There are 5 white, 5 black, and 5 red parquet blocks available. Each block measures 1 by 1 meter. In how many different colors h patterns can be floor be parqueted? Answer Choice: (A)  104 (B)  213 (C)  3^5 (D)  705 (E)  726
Answer: E
For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 5 of whom are females, by how much does the index for the females exceed the index for the males in the group? Answer Choice: (A)  0.05 (B)  0.0625 (C)  0.5 (D)  0.25 (E)  0.6
Answer: C
10 men working 6 hrs per day manufacture 200 shoes in 18 days. How many hours a day must 15 men work to manufacture the same 200 shoes in 12 days? Answer Choice: (A) 6 (B) 10 (C) 12 (D) 15 (E) 17
Answer: A
A bullet train 200 m long is running with a speed of 69 kmph. In what time will it pass a man who is running at 3 kmph in the direction opposite to that in which the bullet train is going? Answer Choice: (A) 10 sec (B) 15 sec (C) 12 sec (D) 11 sec (E) 16 sec
Answer: A
A box contains four silver coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the coin tossed is also a head. Answer Choice: (A) 1/5 (B) 2/5 (C) 3/5 (D) 4/5 (E) 3/4
Answer: D
The average weight of a group of boys is 30 kg. After a boy of weight 33 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? Answer Choice: (A) 4 (B) 5 (C) 2 (D) 7 (E) 8
Answer: C
If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 4, what is the units G digit of (a+2)^2? Answer Choice: (A) 1 (B) 3 (C) 5 (D) 6 (E) C. 14
Answer: A
A train 275 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ? Answer Choice: (A) 5 sec (B) 6 sec (C) 15 sec (D) 10 sec (E) None
Answer: C
Rose and Marry each have a bag of marbles, each of which contains 4 blue marbles, 10 red marbles, and 6 white marbles. If Rose and Marry each select one marble from their respective bags, what is the probability that either Rose or Marry select a red marble? Answer Choice: (A) 3/7 (B) 3/4 (C) 1/4 (D) 1/8 (E) 1/16
Answer: B
First bunch of bananas has (1/4) again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch is Answer Choice: (A) 9 (B) 10 (C) 12 (D) 15 (E) 17
Answer: D
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 54. What is the difference between the two digits of that number? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 8 (E) 9
Answer: C