loafeihong/math_mmlu_format huggingface dataset:
The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages (in years) Answer Choice: (A) 12, 14, 18 (B) 14, 20, 36 (C) 16, 12, 14 (D) 16, 28, 36 (E) None
Answer: D
Set X consists of 10 integers and has median of 10 and a range of 10. What is the value of the greatest possible integer that can be present in the set? Answer Choice: (A) 32 (B) 37 (C) C.40 (D) 20 (E) 50
Answer: D
At a Halloween party, 2/5 of the people were dressed as vampires, 1/3 were dressed as ghosts; everyone else at the party, were equally dressed as Pirates, Robin Hood, Fairies, and Princesses. If all of the Fairies leave the party, and the people who just arrived to the party are all dressed as ghosts, doubling the number of ghosts at the party, what proportion of the people at the party are vampires? Answer Choice: (A) 6/19 (B) 5/18 (C) 5/26 (D) 1/2 (E) 3/7
Answer: A
When n is divided by 18, the remainder is 6. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers? Answer Choice: (A) 16 (B) 17 (C) 18 (D) 19 (E) 20
Answer: C
Tlaudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement. Given these choices, how many candle + flower groupings can she select? Answer Choice: (A) 54 (B) 72 (C) 96 (D) 144 (E) 432
Answer: A
In a class, 6 students can speak Tamil, 15 can speak Gujarati and 6 can speak H. If two students can speak two languages and one student can speak all the three languages, then how many students are there in the class? Answer Choice: (A) 20 (B) 21 (C) 22 (D) 23 (E) 24
Answer: D
Divide 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is: Answer Choice: (A) 759 (B) 792 (C) 818 (D) 828 (E) None of these
Answer: D
Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be? Answer Choice: (A) 5 (B) 9 (C) 11 (D) 13 (E) 15
Answer: A
How many three digits numbers greater than 600 can be formed by using the digits 4,5,6,7,8? Answer Choice: (A) 45. (B) 55. (C) 65. (D) 85. (E) 75.
Answer: E
What is the greatest of 3 consecutive integers whose sum is 39? Answer Choice: (A) 14 (B) 15 (C) 16 (D) 17 (E) 18
Answer: A
The average weight of 10 oarsmen in a boat is increased by 1.8kg when one of the crew, who weight 53kg is replaced by a new man. Find the weight of the new man. Answer Choice: (A) 59kg (B) 62kg (C) 74kg (D) 85kg (E) 71kg
Answer: E
Ann and Bob drive separately to a meeting. Ann's average driving speed is greater than Bob's avergae driving speed by one-third of Bob's average driving speed, and Ann drives twice as many miles as Bob. What is the ratio E of the number of hours Ann spends driving to the meeting to the number of hours Bob spends driving to the meeting? Answer Choice: (A) 8:3 (B) 3:2 (C) 4:3 (D) 2:3 (E) 3:8
Answer: B
What is the area of a square field whose diagonal of length 22 m? Answer Choice: (A) 288 (B) 289 (C) 242 (D) 112 (E) 178
Answer: C
How many 5 letter words ( with or without meaning) can be formed using all the following 5 letters P,Q,R,S,and W so that letter P is to the left of letter R? Answer Choice: (A) 70 (B) 50 (C) 60 (D) 90 (E) 100
Answer: C
In a group of ducks and cows, the total number of legs are 28 more than twice the no. of heads. Find the total no.of buffaloes. Answer Choice: (A) 11 (B) 12 (C) 14 (D) 16 (E) 18
Answer: C
Susan weighs m pounds more than Anna does, and together they weigh a total of n pounds. Which of the following represents Anna’s weight in pounds? Answer Choice: (A) (n - m)/2 (B) (n + m)/2 (C) n/2 - m (D) 2n − m (E) n − 2m
Answer: A
The sum of three integers is 33. The largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. What is the product of the three integers? Answer Choice: (A) 192 (B) 203 (C) 214 (D) 225 (E) 236
Answer: A
If a:b=1:2 and b:c=3:4 find a:b:c? Answer Choice: (A) 3:5:8 (B) 3:6:8 (C) 3:7:8 (D) 3:6:4 (E) 3:6:9
Answer: B
By selling a watch for Rs.640/-, a man loses 20% what is that watch cost price? Answer Choice: (A) Rs. 600/- (B) Rs. 700/- (C) Rs. 800/- (D) Rs. 850/- (E) Rs. 900/-
Answer: C
A football coach must choose 3 freshers from a team of 12players. How many different ways can the coach choose the freshers? Answer Choice: (A) 220 (B) 650 (C) 729 (D) 800 (E) 890
Answer: A
In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 24,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second round, the winning candidate got four times as many votes as the other candidate, how many people have voted in each round? Answer Choice: (A) 15,000 (B) 25,000 (C) 80,000 (D) 50,000 (E) 60,000
Answer: C
Find the probability that a number selected from numbers 1, 2, 3,..., 40 is a prime number, when each of the given numbers is equally likely to be selected? Answer Choice: (A) 10/40 (B) 12/40 (C) 8/40 (D) 3/40 (E) 7/40
Answer: B
If logX = (logY)/2 = (logZ)/5, then X4.Y3.Z-2 =? Answer Choice: (A) 2 (B) 10 (C) 1 (D) 0 (E) 3
Answer: C
In the quiet town ofNothintodothere are 850 inhabitants, 400 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists? Answer Choice: (A) 50. (B) 100. (C) 150. (D) 200. (E) 300.
Answer: E
In how many ways can the letters of word TREATMENT be arranged such that all the vowels as well as all the Consonants always appear together? Answer Choice: (A) 9! (B) 3!*6!*2! (C) 5!*5! (D) 5!*4!*2! (E) 6!*4!
Answer: B
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places? Answer Choice: (A) 156 (B) 144 (C) 165 (D) 182 (E) 716
Answer: B
If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 24, 30, 22, 26, 27, 33 and 35 ? Answer Choice: (A) 33 (B) 28 (C) 27 (D) 24 (E) 25
Answer: E
While driving from A-ville to B-town, Harriet drove at a constant speed of 110 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 140 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive from A-ville to B-town? Answer Choice: (A) 138 (B) 148 (C) 150 (D) 162 (E) 168
Answer: E
In a class of 40 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed? Answer Choice: (A) 3 (B) 5 (C) 8 (D) 13 (E) 15
Answer: A
The some of present ages of father and son is 60.If 6 years ago fathers age was five times the sons age,then what will be sons age after six years?? Answer Choice: (A) 15 (B) 18 (C) 20 (D) 22 (E) 24
Answer: C
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. Find out the age of the youngest child? Answer Choice: (A) 9 (B) 8 (C) 7 (D) 6 (E) 4
Answer: E
A number when divided by a divisor leaves a remainder of 30. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor? Answer Choice: (A) 12 (B) 13 (C) 35 (D) 43 (E) 59
Answer: D
Two employees X and Y are paid a total of Rs. 600 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? Answer Choice: (A) s.200.72 (B) s.250.72 (C) s.272.72 (D) s.300.72 (E) s.310.72
Answer: C
If x and y are positive real numbers such that x + y = 1, which of the following could be the value of 100x + 300y?
I. 80
II. 150
III. 299 Answer Choice: (A) II only (B) III only (C) I and II (D) I and III (E) II and III
Answer: E
A train covers a distance of 18 km in 3 min. If it takes 4 sec to pass a telegraph post, then the length of the train is? Answer Choice: (A) 370 (B) 380 (C) 390 (D) 400 (E) 410
Answer: D
The average runs scored by a batsman in 15 matches is 30. In the next 20 matches the batsman scored an average of 15 runs. Find his average in all the 30 matches? Answer Choice: (A) 31.56 (B) 25.65 (C) 21.43 (D) 28.36 (E) 27.96
Answer: C
16 boys or 24 girls can construct the wall in 6 days. the number of days that 8 boys and 6 girls Will take to construct? Answer Choice: (A) 7 days (B) 14 days (C) 6 days (D) 8 days (E) 9 days
Answer: D
In how many ways can a leap year have 53 Sundays? Answer Choice: (A) 365C7 (B) 7 (C) 4 (D) 5 (E) 6
Answer: D
If the tens digit of positive integers h, y are 6, how many values of the tens digit of 2(h+y) can be there? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: C
By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at: Answer Choice: (A) 96 (B) 70 (C) 75 (D) 80 (E) 100
Answer: A
Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 1500 widgets? Answer Choice: (A) 2 hour and 20 minutes (B) 2 hour and 24 minutes (C) 2 hour and 30 minutes (D) 2 hour and 36 minutes (E) 2 hour and 40 minutes
Answer: C
Pipe A can fill a tank in 4 hours, pipe B in 8 hours and pipe C in 8 hours. If all the pipes are open, in how many hours will the tank be filled? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: A
There are 10 female and 15 male in a work place. In how many ways can a person can be selected? Answer Choice: (A) 20 (B) 15 (C) 18 (D) 40 (E) 25
Answer: E
A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is? Answer Choice: (A) 7:3 (B) 4:9 (C) 4:3 (D) 2:3 (E) 4:9
Answer: C
A man pointing to a photo says "The lady in the photograph is my nephew’s maternal grandmother". How is the lady in the photograph related to the man’s sister who has no other sister ? Answer Choice: (A) Cousin (B) Sister-in-law (C) Mother (D) Mother-in-law (E) None of these
Answer: C
Which of the following is a multiple of 4!+6? Answer Choice: (A) 2!+3 (B) 4!+12 (C) 5!+6 (D) 5!+30 (E) 8!+12
Answer: D
Aden and Brad can do a piece of work in 18 days. Brad can Cody can do it in 24 days and Cody and Aden can do it in 36 days. If Aden, Brad, Cody work together, in how many days will they finish the work? Answer Choice: (A) 10 days (B) 12 days (C) 14 days (D) 16 days (E) 17 days
Answer: D
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water? Answer Choice: (A) 9 (B) 8 (C) 6 (D) 4 (E) 2
Answer: B
The average age of 37 students in a group is 14 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ? Answer Choice: (A) 35 years (B) 45 years (C) 51 years (D) 52 years (E) None of these
Answer: D
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is? Answer Choice: (A) 257 m (B) 632 m (C) 245 m (D) 737 m (E) 243 m
Answer: C
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 5000. He sold both the items together for Rs. 25000. What percentage of profit did he make? Answer Choice: (A) 1.00% (B) 15.21% (C) 41.10% (D) 19.04% (E) 10.00%
Answer: D
A father is now three times as old as his son. Seven years back, he was four times as old as his son. The age of the son (in years) is Answer Choice: (A) 12 (B) 15 (C) 18 (D) 20 (E) 21
Answer: E
If 'a' and 'b' are non-zero numbers such that their sum is five times the product, what is the value of 1/a + 1/b? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 10 (E) 15
Answer: B
The G.C.D of 1.08, 0.36 and 0.9 is Answer Choice: (A) 0.13 (B) 0.17 (C) 0.18 (D) 0.12 (E) 0.11
Answer: C
A shipment of 250 smartphones contains 76 that are defective. If a customer buys two smartphones at random from the shipment, what is the approximate probability that both phones are defective? Answer Choice: (A) 1/250 (B) 1/84 (C) 1/11 (D) 1/9 (E) 1/3
Answer: C
Of the following values of n, the value of (-1/3 )^(-n) will be greatest for n = Answer Choice: (A) 3 (B) -3 (C) 0 (D) -2 (E) 2
Answer: E
The sum of four consecutive even numbers is 140. What would be the smallest number? Answer Choice: (A) 32 (B) 88 (C) 70 (D) 123 (E) 12
Answer: A
Carol budgeted 18 dollars for gifts for each of the 15 people on her Christmas list. After a disagreement with some of her neighbors, she reduces her Christmas list to 10 people. How much can she spend on each? Answer Choice: (A) 20 (B) 27 (C) 18 (D) 23 (E) 30
Answer: B
In how many ways 2 boys and 2 girls can be seated in a row so that boys and girls are alternate? Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: B
A goods train runs at the speed of 72 km/hr and crosses a 260 m long platform in 26 sec. What is the length of the goods train? Answer Choice: (A) 278 (B) 166 (C) 151 (D) 260 (E) 109
Answer: D
If '+' means ' ÷ ', '-' means '×', '' means '-'' means '+', then (280 + 1020) - 86 is -------. Answer Choice: (A) 70 (B) 112 (C) -392 (D) 58 (E) None
Answer: E
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 1200 per sq.metre. Answer Choice: (A) Rs. 15,000 (B) Rs. 24,750 (C) Rs. 15,600 (D) Rs. 16,500 (E) None
Answer: B
When two different numbers are divided by a certain divisor the remainders are 147 and 192. When the sum of the two numbers is divided by the same divisor the remainder is 38: Find the divisor. Answer Choice: (A) 300 (B) 301 (C) 302 (D) 303 (E) 304
Answer: B
An gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the 1st, 2nd, third and 4th shots are 1.4, 1.3, 1.2 & 1.1 respectively.
What is the probability that the plane is hit when all the four shots are fired? Answer Choice: (A) 0.6976 (B) 0.783 (C) 0.986 (D) 1.243 (E) 1.3445
Answer: A
A carpenter worked alone for 1 day on a job that would take him 4 more days to finish. He and another carpenter completed the job in 2 more days. How many days would it have taken the second carpenter to do the complete job working alone? Answer Choice: (A) 5 (B) 7 (C) 9 (D) 14 (E) 24
Answer: A
Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet? Answer Choice: (A) 7.16 (B) 7.19 (C) 7.13 (D) 7.15 (E) 7.11
Answer: D
Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 42% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology? Answer Choice: (A) 30 (B) 90 (C) 120 (D) 168 (E) 188
Answer: D
If points A and B are (6-1) units apart, which of the following can have only one possible value?
I. The area of a square region with side AB
II. The circumference of a circle passing through points A and B
III. The area of a rectangular region with diagonal AB Answer Choice: (A) I only (B) II only (C) III only (D) I and II only (E) I and III only
Answer: A
Three seventh of a number is 12 more than 40% of that number. What will be the 50% of that number? Answer Choice: (A) A)148 (B) B)210 (C) C)105 (D) D)248 (E) E)258
Answer: C
Tough and Tricky questions: Absolute Values.
If |a| = 1/4 and |b| = 1/2, which of the following CANNOT be the result of a + b? Answer Choice: (A) -1 (B) -1/4 (C) 3/4 (D) -3/4 (E) 1/4
Answer: A
In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?Look at this series: 1, 5, 7, 3, __, 1 ...Which number is missing? Answer Choice: (A) 2 (B) 4 (C) 12 (D) 0 (E) 13
Answer: E
A train passes a platform in 34 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is Answer Choice: (A) 280 meter (B) 240 meter (C) 210 meter (D) 200 meter (E) None of these
Answer: C
Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit? Answer Choice: (A) Rs.2389 (B) Rs.2380 (C) Rs.2317 (D) Rs.2329 (E) Rs.2318
Answer: B
The least umber of five digits which is exactly
divisible by 12,15 and 18 is? Answer Choice: (A) 10000 (B) 10012 (C) 10015 (D) 10018 (E) 10080
Answer: E
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) 52 (B) 32 (C) 62 (D) 25 (E) 20
Answer: A
The product X of two prime numbers is between 17 and 60. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then X = Answer Choice: (A) 18 (B) 29 (C) 37 (D) 44 (E) 57
Answer: E
Which of the following is a pair of Co - Primes ? Answer Choice: (A) 14,35 (B) 18,25 (C) 31,92 (D) 32,62 (E) 18,43
Answer: B
Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 3-cent stamps she could have bought ? Answer Choice: (A)  5 (B)  10 (C)  15 (D)  20 (E)  25
Answer: A
A committee is reviewing a total of 40x black-and-white films and 10y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction of the selected films are in color? Answer Choice: (A) 50/52 (B) 55/52 (C) 60/52 (D) 40/52 (E) 30/52
Answer: A
For every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12)=2x4x6x8x10x12. What is the greatest prime factor of f(28)? Answer Choice: (A) 2 (B) 7 (C) 11 (D) 13 (E) 17
Answer: D
IF 2+3=13 ; 3+5=31 ; 5+7=59, Then 7+9=? Answer Choice: (A) 95 (B) 86 (C) 67 (D) 98 (E) 89
Answer: A
The average marks of a class of 30 students is 40 and that of another class of 50 students is 70. Find the average marks of all the students? Answer Choice: (A) 52.5 (B) 52.9 (C) 52.1 (D) 58.75 (E) 42.5
Answer: D
In a stream running at 2 Kmph, a motor boat goes 10 Km upstream and back again to the starting point in 55 minutes. Find the speed of motor boat in still water? Answer Choice: (A) 11 (B) 15 (C) 22 (D) 18 (E) 25
Answer: C
A can give B 100 meters start and C 120 meters start in a kilometer race. How much start can B give C in a kilometer race? Answer Choice: (A) 10.22 meters (B) 11.22 meters (C) 22.22 meters (D) 33.22 meters (E) None of these
Answer: C
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 28160, how many purple chips were selected? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
A school currently maintains a fixed number of students per class. If the ratio of students per class were to be increased by 1, 10 fewer classes would be run for a total of 120 students. What is the current ratio T of students per class? Answer Choice: (A) T=3 (B) T=4 (C) 6 (D) 8 (E) 12
Answer: A
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 42 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ? Answer Choice: (A) 35 (B) 36 (C) 37 (D) 38 (E) 39
Answer: E
In a certain lottery, the probability that a number between 14 and 20, inclusive, is drawn is 1/6 . If the probability that a number 14 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 20 is drawn? Answer Choice: (A)  1/18 (B)  1/6 (C)  1/2 (D)  1/3 (E)  5/6
Answer: C
A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems? Answer Choice: (A) 1028 (B) 1024 (C) 1023 (D) 1025 (E) 1084
Answer: C
A cube is divided into 729 identical cubelets. Each cut is made parallel to some surface of the cube . But before doing that the cube is coloured with green colour on one set of adjacent faces ,red on the other set of adjacent faces, blue on the third set. So, how many cubelets are there which are painted with exactly one colour? Answer Choice: (A) 293 (B) 294 (C) 295 (D) 296 (E) 298
Answer: B
What is the radius of a circle that has a circumference of 3.14 meters? Answer Choice: (A) 0.1 (B) 0.3 (C) 0.5 (D) 0.7 (E) 0.9
Answer: C
Johnop went up a certain hill at the rate of one and a half kilometers per hour and came down at the rate of four and a half kilometers per hour, so that it took just four hours to make the double journey. How far was it to the top of the hill ? Answer Choice: (A) 3 km (B) 6 km (C) 4.5 km (D) km (E) none of the above
Answer: C
fill in ht blank:(a) the point with coordinates (0,0) is called ____ of a rectangular coordinate system,(b) to find the y-intercept of a line, we let ___ equal 0 and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___ Answer Choice: (A) (a) the point with coordinates (0,0) is called axis of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for y (B) (a) the point with coordinates (0,0) is called axis of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for x ; to find x- intercept , we let y equal 0 and solve for y (C) (a) the point with coordinates (0,0) is called line of a rectangular coordinate system, (b) to find the y-intercept of a line, we let y equal 0 and solve for z ; to find x- intercept , we let x equal 0 and solve for x (D) (a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the y-intercept of a line, we let z equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x (E) none of the above
Answer: E
P and Q entered into a partnership investing Rs. 16,000 and Rs. 12,000 respectively. After 3 months, A withdrew Rs.5000 while B invested Rs. 5000 more. After 3 more months, C joins the business with a capital of Rs. 21,000. The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by: Answer Choice: (A) Rs.2400 (B) Rs.3000 (C) Rs.3600 (D) Rs.4800 (E) Rs.3800
Answer: C
Kyle, Devon, and Catherine each try independently to solve a problem. If their individual probabilities for success are 1/2, 1/3 and 5/9, respectively, what is the probability that Kyle but not Devon and Catherine will solve the problem? Answer Choice: (A) 13/29 (B) 1/4 (C) 15/21 (D) 11/19 (E) 4/27
Answer: E
Of the teams competing in the world archery championships, Fifty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa. Answer Choice: (A) 13/20 (B) 4/20 (C) 13/15 (D) 17/20 (E) 13/17
Answer: B
An empty fuel tank with a capacity of 212 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added? Answer Choice: (A) 160 (B) 98 (C) 100 (D) 80 (E) 50
Answer: B