loafeihong/math_mmlu_format huggingface dataset:
To create paint with a certain shade of gray, one must combine 2.3 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray? Answer Choice: (A) 152.1 (B) 156.4 (C) 347.1 (D) 694.4 (E) 705.6
Answer: A
A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 14 cups of tea are prepared, 7 in one way and 7 in other. Find the different possible ways of presenting these 14 cups to the expert. Answer Choice: (A) 2532 (B) 2432 (C) 3032 (D) 3432 (E) None
Answer: D
If December 3rd, 1999 is a Friday, what day is January 6th, 2000? Answer Choice: (A) Wednesday (B) Thursday (C) Friday (D) Saturday (E) Sunday
Answer: B
A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 7 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.30 a.m.? Answer Choice: (A) 10 (B) 7 (C) 9 (D) 5 (E) 12
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) 32 (B) 52 (C) 62 (D) 72 (E) 35
Answer: B
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is: Answer Choice: (A) 12 (B) 24 (C) 34 (D) 48 (E) 54
Answer: D
A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee? Answer Choice: (A) 288 (B) 200 (C) 289 (D) 267 (E) 261
Answer: B
The width of a rectangle is 10 meter and its area is 150 square meter. If length of the rectangle is increased then its new area is 4/3 times of the original area. What is the new perimeter of the rectangle? Answer Choice: (A) 48 m (B) 52 m (C) 54 m (D) 60 m (E) None of these
Answer: D
A train 600 m long passed a pole in 12 sec. How long will it take to pass a platform 450 m long? Answer Choice: (A) 19 (B) 20 (C) 21 (D) 22 (E) 23
Answer: C
The traffic lights at 3 different roads change after every 48 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously. Answer Choice: (A) 9:22:12 (B) 9:42:15 (C) 10:15:24 (D) 9:54:12 (E) 10:01:20
Answer: A
What is the units digit of (147^17)^48 ? Answer Choice: (A) 1 (B) 3 (C) 5 (D) 7 (E) 9
Answer: A
The cost price of 4 notebooks is equal to the selling price of 6 notebooks. What is the % profit or loss. Answer Choice: (A) 32.3 % (B) 33.3 % (C) 12.3 % (D) 23.3 % (E) 13.3 %
Answer: B
Bill is golfing with three friends and can either buy generic golf tees that are packaged by the dozen or the higher quality Aero flight tees that come by the pair. What is the minimum number of packages of Aero flight tees Bill must purchase to ensure that he has at least 20 golf tees for each member of his foursome, if he will buy no more than 2 packages of the generic golf tees? Answer Choice: (A) 16 (B) 10 (C) 28 (D) 4 (E) 2
Answer: C
A father was as old as his son's present at the time of your birth. If the father's age is 42 years now, the son's age 5years back was? Answer Choice: (A) 10 years (B) 12 years (C) 14 years (D) 16 years (E) 20 years
Answer: D
The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n3/3 + cn2 + n/6, where c is a constant. What is the sum of the first 15 positive perfect squares? Answer Choice: (A) 1,010 (B) 1,164 (C) 1,240 (D) 1,316 (E) 1,476
Answer: C
What is the range of all the roots of |x^2 - 1| = x ? Answer Choice: (A) 4 (B) 3 (C) 2 (D) 1 (E) 0
Answer: D
Find value of X: 5216 × 51 = X Answer Choice: (A) 265016 (B) 343546 (C) 266016 (D) 353546 (E) 457632
Answer: C
By walking at 3/4th of his usual speed, a man reaches office 16 minutes later than usual. What is his usual time? Answer Choice: (A) 48min (B) 50min (C) 65min (D) 60min (E) 70min
Answer: A
When an amount was distributed among 14 boys, each of them got rs 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount? Answer Choice: (A) Rs. 5040 (B) Rs. 6040 (C) Rs. 7040 (D) Rs. 5440 (E) Rs. 8040
Answer: A
If the remainder is 10 when positive integer n is divided by 14, what is the remainder when n is divided by 7? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: D
A cistern can be filled in 9 hours but due to a leak at its bottom it takes 10 hours. If the cistern is full, then the time that the leak will take to make it empty will be ? Answer Choice: (A) 20 hours (B) 19 hours (C) 90 hours (D) 80 hours (E) 70 hours
Answer: C
In my bungalow in Bangalore I have a beautiful rose garden.
The four sides of the garden are known to be 20, 16, 12 and 10 rods. And it is also knownthat it has the greatest possible area for those area? Answer Choice: (A) 189.2 (B) 177.2 (C) 153.9 (D) 200.1 (E) 194.4
Answer: E
Consider a Number 3.1n6
n represent the hundredths digit in the number shown above. If the number is rounded to the nearest hundredth, which of the following could be the tenths digit in the rounded number? Answer Choice: (A) 4 (B) 3 (C) 1 (D) 2 (E) 5
Answer: D
In a certain kindergarten, every child has got either a dog or a cat or both. 18 children have got dogs only and 6 children have got both dogs and cats. If there are 30 children in the kindergarten, how many of them have cats? Answer Choice: (A) 6 (B) 12 (C) 14 (D) 16 (E) 20
Answer: B
I. j; k; m; n; p
II. j - 10; m; m; m; p + 15
III. j + 2; k + 1; m; n - 1; p - 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation H in which of the following? Answer Choice: (A)  I, III, II (B)  II, I, III (C)  II, III, I (D)  III, I, II (E)  III, II, I
Answer: B
When the price of an article is reduced by 30%, the sales increases by 50%. The percentage change in the total amount of receipts is? Answer Choice: (A) 5% decrease (B) 5% increase (C) 10% decrease (D) 15% decrease (E) none of these
Answer: B
The average (arithmetic man) of three integers a, b, and c is exactly half the median. If a < b < c and a = 0, what is the value of c/b? Answer Choice: (A) 2 (B) 3/2 (C) 4 (D) 5 (E) Cannot be determined from the information given.
Answer: B
Bob invested one half of his savings in a bond that paid simple interest for 2 years and received $550 as interest. He invested the remaining in a bond that paid compound interest (compounded annually) for the same 2 years at the same rate of interest and received $605 as interest. What was the annual rate of interest? Answer Choice: (A) 5% (B) 10% (C) 12% (D) 15% (E) 20%
Answer: E
For a finite sequence of non zero numbers, the number of variations in the sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -6,7,9,-10? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: E
Tough and Tricky questions: Decimals.
The value of x is derived by summing a, b, and c and then rounding the result to the tenths place. The value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. If a = 5.43, b = 2.98, and c = 3.76, what is y – x? Answer Choice: (A) 0 (B) 0.04 (C) 0.05 (D) 0.1 (E) 0.2
Answer: A
If a certain sample of data has a mean of 15 and a standard deviation of 2, which of the following is not within 2 standard deviations? Answer Choice: (A) 11 (B) 15 (C) 10 (D) 12 (E) 14
Answer: C
In the manufacture of a certain product, 9 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale? Answer Choice: (A) 0.15% (B) 0.45% (C) 0.8% (D) 1.25% (E) 2.0%
Answer: B
A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have? Answer Choice: (A) 50 (B) 87 (C) 17 (D) 98 (E) 16
Answer: A
Find the remainder W when 12^190 is divided by 1729 ? Answer Choice: (A) 12 (B) 1 (C) 1728 (D) 1717 (E) 4
Answer: D
A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score? Answer Choice: (A) 525 (B) 665 (C) 412 (D) 235 (E) 856
Answer: B
Two trains for Palwal leave Kanpur at 10 a.m and 10:30 am and travel at the speeds of 60 Kmph and 75 Kmph respectively. After how many kilometers from Kanpur will the two trains be together? Answer Choice: (A) 150 (B) 160 (C) 170 (D) 180 (E) 190
Answer: A
Which of the following values is the greatest? Answer Choice: (A) 11% of 89 (B) 22% of 78 (C) 33% of 67 (D) 44% of 56 (E) 55% of 45
Answer: E
If the number is divided by 3, it reduced by 30. The number is Answer Choice: (A) A)51 (B) B)50 (C) C)45 (D) D)40 (E) E)36
Answer: C
The least number which when increased by 6 each divisible by each one of 24, 32, 36 and 54 is : Answer Choice: (A) 858 (B) 859 (C) 869 (D) 4320 (E) None of these
Answer: A
Tom covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time? Answer Choice: (A) 15 Kmph (B) 29 Kmph (C) 25 Kmph (D) 30 Kmph (E) 34 Kmph
Answer: A
Find the fourth proportion to 5,6,15 Answer Choice: (A) 18 (B) 12 (C) 6 (D) 9 (E) 2
Answer: A
In what time will a train 20 m long cross an electric pole, it its speed be 144 km/hr? Answer Choice: (A) 2.5 sec (B) 2.8 sec (C) 0.5 sec (D) 2.3 sec (E) 1.5 sec
Answer: C
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 84, 60, then the average marks of all the students is Answer Choice: (A) 54.48 (B) 54.68 (C) 54.6 (D) 54.58 (E) 65.56
Answer: E
Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 3/4 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos? Answer Choice: (A) 6/22 (B) 5/22 (C) 7/22 (D) 4/22 (E) 3/22
Answer: C
If the ratio of x to y is 3 to 7, then (y-x)/(x+y)? Answer Choice: (A) -7/3 (B) -3/7 (C) 4/10 (D) 1 (E) 7/3
Answer: C
A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: Blue, Green, Yellow Or Pink. The store packs the notepads in pacakages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible? Answer Choice: (A) 6 (B) 8 (C) 16 (D) 24 (E) 32
Answer: C
What is the remainder when 4^8707 is divided by 5 ? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: E
A grocer has a sale of Rs. 7435, Rs. 7927, Rs. 7855, Rs. 8230 and Rs. 7562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 7500? Answer Choice: (A) Rs. 1991 (B) Rs. 2991 (C) Rs. 3991 (D) Rs. 4991 (E) Rs. 5991
Answer: E
Out of 7 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is Answer Choice: (A) 1/21 (B) 10/21 (C) 20/21 (D) 11/21 (E) 2/21
Answer: A
A man covers a certain distance on bike. Had he moved 4 kmph faster, he would have taken 72 minutes less. If he moves slow by 4 kmph, he will take hours more to cover the distance. What is the distance travelled by him ? Answer Choice: (A) 48 km (B) 56 km (C) 64 km (D) 96 km (E) 106 km
Answer: D
Amita is taller than Rita but not as tall as Sapna, who is shorter than Farida. Sumedha is shorter than Farida but not as short as Rita. Who is the shorest among them? Answer Choice: (A) Amita (B) Sumedha (C) Rita (D) Cannot be determined (E) None of these
Answer: C
A scale 7 ft. 12 inches long is divided into 4 equal parts. Find the length of each part. Answer Choice: (A) 20 inches (B) 77 inches (C) 24 inches (D) 97 inches (E) 66 inches
Answer: C
When a number is divided by 6 &then multiply by 12 the answer is 12 what is the no.? Answer Choice: (A) 4.5 (B) 5 (C) 5.5 (D) 5.8 (E) 6
Answer: E
Winson's shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys? Answer Choice: (A) 0.8 (B) 0.75 (C) c) 8/9 (D) 5/7 (E) 6/8
Answer: D
In a stack of cards, 6 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 8/11. What is the number of cards in the stack? Answer Choice: (A) 7 (B) 11 (C) 12 (D) 15 (E) 18
Answer: A
In a renowned city, the average birth rate is 4 people every two seconds and the death rate is 3 people every two seconds. Estimate the size of the population net increase that occurs in one day. Answer Choice: (A)  43,100 (B)  43,200 (C)  43,300 (D)  43,400 (E)  43,450
Answer: B
A train running at the speed of 20 km/hr crosses a post in 10 seconds. What is the length of the train? Answer Choice: (A) 150 (B) 250 (C) 415 (D) 200 (E) 312
Answer: D
If in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows.
What is the maximum number of runs that a batsman can score in an ideal case scenario? Answer Choice: (A) 1652 (B) 1651 (C) 1653 (D) 1654 (E) None
Answer: C
Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce,making a profit of 20 percent. What was the ratio of the mixture? Answer Choice: (A) 1:10 (B) 1:5 (C) 2:7 (D) 3:8 (E) 5:7
Answer: B
There are 8 books in a shelf that consist of 2 paperback books and 6 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected? Answer Choice: (A) 40 (B) 45 (C) 50 (D) 55 (E) 60
Answer: D
If n is the greatest positive integer for which 4^n is a factor of 10!, then n =? Answer Choice: (A) 2 (B) 4 (C) 6 (D) 8 (E) 10
Answer: B
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is Answer Choice: (A) 17/25 (B) 17/29 (C) 17/21 (D) 17/20 (E) 17/24
Answer: D
√530493 ,493 is between Answer Choice: (A) 300 and 600 (B) 200 and 400 (C) 600 and 800 (D) 100 and 300 (E) 800 and 1000
Answer: C
Which of the following equations passes through the points (2,4) and (-3,-6) Answer Choice: (A) y = (1/2)x - 2 (B) y = 2x + 3 (C) y = (-1/2)x + 2 (D) y = 2x + 4 (E) y = 4x - 4
Answer: E
How many figures are required to number the pages the pages of a book containing 1000 pages? Answer Choice: (A) 2793 (B) 2333 (C) 2993 (D) 2893 (E) 2693
Answer: D
A, B and C can do a work in 6 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work? Answer Choice: (A) 2 2/3 days (B) 2 6/3 days (C) 2 2/7 days (D) 6 2/3 days (E) 2 8/3 days
Answer: A
Of the employees in a company, 20 % are female who have a master degree. If 10 % of the female employees do not have a master degree, what percent of the employees in the company are female? Answer Choice: (A) 27.24% (B) 26.22% (C) 25.22% (D) 22.25% (E) 22.22%
Answer: E
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length? Answer Choice: (A) 20 sec (B) 30 sec (C) 40 sec (D) 50 sec (E) 60 sec
Answer: C
A man has some hens and cows. If the number of heads be 46 and the number of feet equals 136, then the number of hens will be Answer Choice: (A) 22 (B) 24 (C) 26 (D) 20 (E) 28
Answer: B
The mall charges 60 cents for the first hour of parking and $4 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If Edward parked his car in the mall for 7 hours and 30 minutes, how much is he going to pay? Answer Choice: (A) $25.2 (B) $22. (C) $13. (D) $14.5. (E) $15.5
Answer: A
Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $660 (before payroll deductions)? Answer Choice: (A) 800 (B) 900 (C) 1000 (D) 1100 (E) 1200
Answer: C
Pat, Kate, and Mark charged a total of 135 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark, how many more hours did Mark charge to the project than Kate? Answer Choice: (A) 18 (B) 36 (C) 75 (D) 90 (E) 108
Answer: C
A group of store managers must assemble 280 displays for an upcoming sale. If they assemble 25 percent of the displays during the first hour and 40 percent of the remaining displays during the second hour, how many of the displays will not have been assembled by the end of the second hour? Answer Choice: (A) 70 (B) 98 (C) 126 (D) 168 (E) 182
Answer: C
On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 60% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit? Answer Choice: (A) 10.5% (B) 12.5% (C) 15% (D) 22% (E) 25%
Answer: E
A certain ball team has an equal number of right- and left-handed players. On a certain day, one-third of the players were absent from practice. Of the players at practice that day, one-third were right handed. What is the ratio of the number of right-handed players who were not at practice that day to the number of left handed players who were not at practice? Answer Choice: (A) 1/3 (B) 5/1 (C) 5/7 (D) 7/5 (E) 3/2
Answer: B
If a person walks at 15 km/hr instead of 10 km/hr, he would have walked 10km more. The actual distance traveled by him is? Answer Choice: (A) 50 km (B) 30 km (C) 18 km (D) 16 km (E) 97 km
Answer: B
If Q is an odd number and the median of Q consecutive integers is 150, what is the largest of these integers? Answer Choice: (A) Q/2 + 150 (B) Q/2 + 149 (C) (Q - 1)/2 + 150 (D) (Q + 149)/2 (E) (Q + 150)/2
Answer: C
If the number 5 * 2 is divisible by 6, then * = ? Answer Choice: (A) 2 (B) 5 (C) 3 (D) 1 (E) 6
Answer: A
If p and q are both odd integers, which of the following must be an odd integer? Answer Choice: (A) p+q (B) 2p+q (C) p+3q (D) 2p+q+1 (E) p+q^2
Answer: B
P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings? Answer Choice: (A) 1 : 5 (B) 1 : 4 (C) 1 : 2 (D) 1 : 1 (E) 1 : 9
Answer: D
A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 3 days. For how many number of days should A and C should work together to complete the remaining work ? Answer Choice: (A) 0.1 (B) 0.2 (C) 0.3 (D) 0.4 (E) 0.5
Answer: D
Jane and Thomas are among the 8 people from which a committee of 4 people is to be selected. How many different possible committees of 4 people can be selected from these 8 people if at least one of either Jane or Thomas is to be selected? Answer Choice: (A) 28 (B) 46 (C) 55 (D) 63 (E) 70
Answer: C
A reduction of 20% in the price of salt enables a lady to obtain 5 kgs more for Rs.100, find the original price per kg? Answer Choice: (A) 6 (B) 1 (C) 5 (D) 4 (E) 7
Answer: C
If A is the product of all positive integers less than 31, than what is the greatest integer k for which A/18^k is an integer? Answer Choice: (A) 3 (B) 6 (C) 7 (D) 14 (E) 26
Answer: C
The car A has 1.5 times the price of car B which is Rs.250000 more. What is the price of car B? Answer Choice: (A) 100000 (B) 200000 (C) 500000 (D) 800000 (E) 1000000
Answer: C
A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 40,000. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ? Answer Choice: (A) 6.5 months (B) 3.5 months (C) 2.5 months (D) 8.5 months (E) 9.5 months
Answer: D
In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 1) lies inside the circle and the point (4, -3) lies outside the circle. If the radius r of the circle r is an integer then diameter ? Answer Choice: (A) 6 (B) 10 (C) 4 (D) 3 (E) 2
Answer: B
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 10 cm. Answer Choice: (A) 190 cm2 (B) 885 cm2 (C) 285 cm2 (D) 825 cm2 (E) 725 cm2
Answer: A
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 30 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Answer Choice: (A) 22 (B) 88 (C) 48 (D) 99 (E) 60
Answer: E
R campers fished for 6 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour? Answer Choice: (A) 2m + n(R-m) (B) (2m + n(R-m))/3 (C) (2m + n(m-R))/3 (D) (2m + n)/3 (E) (2m + n)/6
Answer: E
If 0 < x < 5 and -2 < y < 9, then the lowest possible value for xy is Answer Choice: (A) between 60 and 70 (B) between 0 and 60 (C) between - 50 and 50 (D) between 0 and -70 (E) less than -70
Answer: C
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 70 km downstream. Answer Choice: (A) 4.25 hr (B) 3.8 hr (C) 8.25 hr (D) 2.25 hr (E) 2.50 hr
Answer: B
There is a clock which shows false timing ie it shows 10 minutes less for each 1 hour....if the clock shows 12 noon now how many minutes will be lost when it shows 3 pm ? Answer Choice: (A) 16 minutes (B) 26 minutes (C) 36 minutes (D) 46 minutes (E) 56 minutes
Answer: C
A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $7.50. If the company’s latest order required a truck with at least 336,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order? Answer Choice: (A) $960 (B) $1,350 (C) $1,725 (D) $2,625 (E) $2,250
Answer: D
In a group of 8 semifinalists, all but 2 will advance to the final round. If in the final round only the top 3 will be awarded medals, then how many groups of medal winners are possible? Answer Choice: (A) 20 (B) 56 (C) 120 (D) 560 (E) 720
Answer: B
In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum? Answer Choice: (A) 1 1/4 (B) 1 1/8 (C) 1 1/2 (D) 1 1/3 (E) 1 1/5
Answer: A
Which of the following inequalities is equivalent to −8 < x < 6? Answer Choice: (A) |x - 1| < 7 (B) |x + 2| < 6 (C) |x + 3| < 5 (D) |x - 2| < 6 (E) None of the above
Answer: E
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag WITH replacement. What is the probability that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls? Answer Choice: (A) (2/8)∗(3/8)^2∗(3/8)^2∗5!/(2!∗2!) (B) (2/8)∗(3/8)^2∗(3/8)^2∗5! (C) (2/8)∗(3/8)^2∗(3/8)2 (D) (28)∗(38)∗(38)^2(28)∗(38)∗(38)^2 (E) (38)2∗(38
Answer: A
A satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/6 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded? Answer Choice: (A) 5/6 (B) 1/5 (C) 1/6 (D) 1/7 (E) 1/24
Answer: C
Sakshi can do a piece of work in 30 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work : Answer Choice: (A) 15 (B) 16 (C) 14 (D) 25 (E) 10
Answer: C