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big_math_dataset

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M = {-6, -5, -4, -3, -2} T = {-2, -1, 0, 2, 3} If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
A train 600 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 15 seconds. The speed of the train is:
3/4th of a number exceeds its 2/3rd by 8. What is the number?
If p/q =4/5, then the value of 18/7 + {(2q - p) / (2q + p)} is ?
The total age of A and B is 13 years more than the total age of B and C. C is how many years younger than A?
A group consists of 7 men, 7 women and 6 children. In how many ways can 2 men , 1 woman and 2 child selected from the given group?
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 45%?
Suresh started a business, investing Rs.18000. After 3 months and 4 months respectively, Rohan and Sudhir joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.3795. What is the difference between Rohan’s and Sudhir’s share in the profit?
The average weight of a group of 30 friends increases by 3 kg when the weight of their 3 football coaches was added. If average weight of the group after including the weight of the 3 football coach is 33 kg, what is the average weight of their football coaches ?
Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?
Two members of a club are to be selected to represent the club at a national meeting. if there are 120 different possible selections of the 2 members, how many members does the club have?
In covering a distance of 15 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
If x = 8 and y = −2, what is the value of (x − 2y)^y?
When 12 + 10 = 1205, 11 + 8 = 885, then 16 + 15 = ?
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 Y 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?
Ron walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long Q would it have taken for him to walk both ways.
I. a2 + 11a + 30 = 0, II. b2 + 6b + 5 = 0 to solve both the equations to find the values of a and b?
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?
What is the highest integer that is the sum of 2 distinct prime integers, each lesser than 60 ?
What is the angle between the minute and the hour hand of the clock which shows 12:24?
In a certain game there are 10 steps, referred to as step 1, step 2, and so on with the final step being step 10. The steps are played one after the other. In each step a score of 1, 2, 3, 4, or 5 is obtained. Mary played the game, getting at least one score of each of 1, 2, 3, 4, and 5, and never getting the same scor...
The only items of clothing at Michelle’s Boutique are 4 shirts, 8 pairs of pants and 18 ties. What is the probability of randomly selecting 2 ties out of all the items in Michelle’s Boutique?
If 20 liters of chemical X are added to 80 liters of a mixture that is 15% chemical X and 85% chemical Y, then what percentage of the resulting mixture is chemical X?
If d is the standard deviation a, b, and c, what is the standard deviation of a +2, b + 2, c + 2 ?
Of the 150 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 10 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
Simplify 16−[2−(6+2(7−8−5¯¯¯¯¯¯¯¯¯¯¯))]
Three investors, A, B, and C, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor A earned $ 2,000, how much money did investors B and C earn in total?
Sandy walks around a circular field at the rate of one round per hour while Molly runs around it at the rate of seven rounds per hour. If they start in the same direction from the same point, how many minutes will it take until they meet again?
In each term of a sequence, 5 is added to get the next term. If the first term is 3, what is the seventy-first term?
If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x + 9 is?
8 x 2.25- 5 x 0.85/2.5= ?
Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same Job.How long should it take both A and B, working together but independently, to do the same job?
David bought 4 pens with the average cost of $2. If David also buys the fifth pen with the price of $ 3, what is the average (arithmetic mean) price of those 5 pens?
What is the true discount on a bill of Rs.2916 due in 3 years hence at 8% C.I.?
The ratio between the speeds of two trains is 7: 8. If the second train runs 440 kms in 4 hours, then the speed of the first train is:
If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 2 strokes ?
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
The speed of the boat in still water is 12km/hr. and the speed of the stream is 3km/hr. Find the distance travelled downstream in 12 minutes.
If 64(8^x) = 1 then x=
What will be the cost of building a fence around a square plot with area equal to 64 sq ft, if the price per foot of building the fence is Rs. 58?
John is filling out the office space for his employees. There are 8 people in his office, and he must assign 8 employees to the following positions: 2 next to his cabin, 2 near the gate, 2 in center, and 2 near coffee machine. Only 2 employees are secretary and can sit next to his cabin, and they cannot sit anywhere el...
What least number should be subtracted from 13605 such that the remainder is divisible by 87 ?
A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
A 9% stock yields 25%. The market value of the stock is:
The age of Amit is 3 times that of his son. 15 years ago, Amit was 9 times as old as his son, What will be the age of Amit after 15 years?
The second day of a month is Friday, What will be the last day of the next month which has 31 days?
Find the odd man out. 0,3,7,15,24
A regular hexagon is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ?
A box measuring 49 inches long by 21 inches wide by 14 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
If 20% of a = b, then b% of 20 is the same as :
What is the total surface area in square meters of a rectangular solid whose length is 9 meters, width is 8 meters, and depth is 5 meters?
Narendra started a business, investing 30000. Six months later, Chandan joined him with 15000. If they make a profit of 15000 at the end of the year, what should be the share of Narendra?
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 40 min, then the slower pipe alone will be able to fill the tank in?
The fourth proportional to 6, 14 and 18 is?
A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 4:2. What is the ratio of luxury cars to sport utility vehicles?
It takes 1.5 hours for Tim to mow the lawn. Linda can mow the same lawn in 2 hours. How long will it take John and Linda, work together, to mow the lawn?
find value for x from below equation? x + 1 = 3
Annie has 100 cards numbered 1 through 100. If she deals five cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?
If a and b are even numbers, which of the following CANNOT be the value of a-b?
If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 3 children have two children of the same sex and one of the opposite sex?
The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 62 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
In a division sum, the quotient is 65, the divisor 24 and the remainder 5, find the dividend?
The mean of 30 values was 250. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
105*2
If Ram rides his cycle in the speed of 18 km/hr from his office, in what time will he reach his house which is 900 m long from his office?
A certain fruit stand sold orange for $0.70 each and bananas for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ?
A clock strikes every hour once at 1.00 twice at 2.00 and so on. the clock takes 6 seconds to strike 5.00 and 12 seconds to strike 9.00 the time needed to strike 1.00 is negligible. how long does the clock need for all its striking in 24 hours?
The average runs of a cricket player of 10 innings was 32. How many runs must he makes ih his next innings so as to increase his average of runs by 4?
if 85% of the population of an ant colony is red, and of these 45% are females, then what % of the total ant population are male red ants?
workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25 lacs . How many workers were they?
The smallest value of n, for which 2n+1 is not a prime number, is
Y and Z started a business investing Rs. 70,000 and Rs. 30,000 respectively. In what ratio the profit earned after 5 years be divided between Y and Z respectively?
Ravi purchased 20 dozens of toys at the rate of Rs. 350 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
For all numbers a and b, the operation is defined by ab = (a + 2)(b – 3). If 3y = –50, then y =
Sum Sam and Product Pete are in class when their teacher gives Sam the Sum of two numbers and Pete the product of the same two numbers (these numbers are greater than or equal to 2). They must figure out the two numbers. Sam: I don't know what the numbers are Pete. Pete: I knew you didn't know the numbers... But neithe...
The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 6 years ?
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.15000?
The class mean score on a test was 60, and the standard deviation was 5. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?
The music class consists of 4 girls and 6 boys. How many ways can a group of 3 be formed if it has to include at least one boy?
A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 40 percent of the pack would be outfielder cards?
8500 + (1600 ÷ ?) of 1/5 = 8501
How many seconds will a train 100 meters long take to cross a bridge 140 meters long if the speed of the train is 36 kmph?
Find the odd man out 3, 4 , 10 , 32 , 136 , 685 , 4116
Frank is 15 years younger then John. In 4 years John will be twice as old as Frank. How old will Frank be in four years?
Amanda has had 3 pay cuts in her salary in the past 6 months. If the first pay cut was 10%, the second pay cut was 19% and the third was 14%. What will be the percentage decrease, if the salary is decreased in a single shot?
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability R that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?
Angelo and Isabella are both salespersons. In any given week, Angelo makes $590 in base salary plus 8 percent of the portion of his sales above $1,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
P runs 25% faster than Q so P gives Q a twenty meter head start. If the race ends in a tie, how far (in meters) did P run in the race?
Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores is 1/3, what is the value of Y/X ?
Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake ?
Mike took 5 mock tests before appearing for the GMAT. In each mock test he scored 10 points more than the previous mock test. If he scored 750 on the GMAT and his average score for the mocks and the GMAT was 726.67, what was the difference in the score of his last mock and his GMAT score?
Lindsay can paint 1/x of a certain room in one hour. If Lindsay and Joseph, working together at their respective rates, can paint the room in three hours, what fraction of the room can Joseph paint in 20 minutes?
A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 1 rounds per hour and 1 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 10:8:2. If there are in all Rs.90, the number of 50 paisa coins is?
How much 60% of 50 is greater than 40% of 30?
A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped four times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 6?
Each child has 4 crayons and 14 apples. If there are 9 children, how many crayons are there in total?
A taxi charges w dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars.