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big_math_dataset

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There are 6 books on a shelf, of which 2 are paperbacks and 4 are hardbacks. How many possible selections of 4 books from this shelf include at least one paperback?
If you are given $2, and the amount doubles every day, how much money will you have after 12 days?
Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
The wages earned by Robin is 30% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much % is the wages earned by Charles more than that earned by Robin?
In a certain lottery, the probability that a number between 1 and 15, inclusive, is drawn is 1/3 . If the probability that a number 1 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 15 is drawn?
When positive integer x is divided by 8, the quotient is y and the remainder is 2. When 2x is divided by 7, the quotient is 2y and the remainder is 4. What is the value of 6y – x?
If the range of the set of numbers {140, 90, 135, 110, 170, 145, x, 100, 140} is 100, which of the following could be x?
Sum of two numbers is 50. Two times of the difference of first and seceond is 20. Then the numbers will be?
B, C and D invested Rs.6400, Rs.1600 and Rs.2400 respectively, in a partnership business. Find the share of D in profit of Rs.26000 after a year?
A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are?
Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
Jerry had an average score of 85 on his first eight quizzes. He had an average score of 81 on his first nine quizzes. What score did he receive on his ninth quiz?
E is the set of the first n positive odd numbers, where n is a positive integer. Given that n > k, where k is also a positive integer, x is the maximum value of the sum of k distinct members of E, and y is the minimum value of the sum of k distinct members of E, what is x + y?
Johnny bought six peanut butter cans at an average price (arithmetic mean) of 36.5¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 30¢, then what is the average price, in cents, of the two returned peanut butter cans?
What is difference between biggest and smallest fraction among 2/5, 3/4, 4/5 and 5/6
In how many ways can 5 boys be allotted four different sofas such that none of the sofas are empty and all the 5 boys are accommodated?
There are 9 books on a shelf that consist of 2 paperback books and 7 hardback books. If 5 books are selected at random without replacement, how many different combinations are there which include at least one paperback book?
Power saving (in %) of a bulb is directly proportional to square root of its efficiency. By how much % is power saving of bulb-1(efficiency 0.8) greater than power saving of bulb-2 (efficiency 0.2)?
The speed at which a man can row a boat in still water is 18 kmph. If he rows downstream, where the speed of current is 6 kmph, what time will he take to cover 100 metres?
By selling 14 pencils for a rupee a man loses 22%. How many for a rupee should he sell in order to gain 22%?
A tank holds x gallons of a saltwater solution that is 20% salt by volume. One Fourth of the water is evaporated, leaving all of the salt. When 8 Gallons of water and 16 gallons of salt are added, the resulting mixture is 33 1/3 % salt by volume. What is the value of x?
The distance between towns A and B is 300 km. One train departs from town A and another train departs from town B, both leaving at the same moment of time and heading towards each other. We know that one of them is 10 km/hr faster than the other. Find the speeds of both trains if 2 hours after their departure the distance between them is 40 km.
In Rwanda, the chance for rain on any given day is 1/2. What is the probability that it rains on 4 out of 6 consecutive days in Rwanda?
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 72 km/hr. What is the length of the platform?
Divide $500 among Y,Z in the ratio 2:8. How many $ that Z get?
A certain bag of gemstones is composed of two-thirds diamonds and one-third rubies. If the probability of randomly selecting two diamonds from the bag, without replacement, is 5/12, what is the probability of selecting two rubies from the bag, without replacement?
A set of numbers has the property that for any number t in the set, t - 2 is in the set. If -1 is in the set, which of the following must also be in the set? I. -5 II. 11 III. 6
At exactly what time past 9:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time?
Three numbers are in the ratio 3:5:7. The largest number value is 63. Find difference between Smallest & largest number is?
Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 16, 10, and 20 hours, respectively. What is the ratio of the time it takes printer X to do the job, working alone at its rate, to the time it takes printers Y and Z to do the job, working together at their individual rates?
Boy purchased two flats for Rs.5,00,000. On one he gains 15 % while on the other he losses 15%. How much does he gain or lose?
A person is traveling at 35km/hr and reached his destiny in 5hr find the distance?
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. In how much time will the trains cross each other?
Find the value of x from the below equation? : 3x^2+5x+2 = 0
A sum of money place at compound interest doubles itself in 5 years. In how many years will it amount to eight times itself?
A software programmer does 10% of the work in 80% of the time, and 80% of the work in the remaining 20% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of code were written in the last two weeks, in terms of X?
On flipping 3 coins together what is the outcomes for exactly one head and one tail?
What is the lowest possible common multiple of 2 distinct integers, each greater than 67?
A work which could be finished in 11 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
In a group of ducks and cows, the total number of legs are 24 more than twice the no. of heads. Find the total no.of buffaloes.
A shoe store sells Adidas shoes for $60 each and Puma shoes for $50 each. On every Adidas shoe the restaurant makes a profit of $10 while on every Puma shoe it makes a profit of $8. If on a given day the storest's sales amounted to $1600, which of the following cannot be the profit made on that day?
The price of 357 mangoes is Rs. 1517.25. What will be the approximate price of 49 dozens of such mangoes?
Suraj has a certain average of runs for 16 innings. In the 17th innings he scores 92 runs thereby increasing his average by 4 runs. What is his average after the 17th innings?
The length of a fabric needed for a dress is cut into two pieces. If the total length of the fabric is 200 inches and the shorter side is 10 inches less than half the length of the other fabric, what is the length of the shorter fabric?
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 6. The number of stamps one of them bought was an even number. Which of the following could represent the numbers of stamps each purchased?
A hiker walked for 3 days. She walked 21 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
A shopkeeper purchased 85 kg of potatoes for Rs. 1105 and sold the whole lot at the rate of Rs. 15 per kg. What will be his gain percent?
The old lady who lived in a shoe was having some real trouble buying Christmas presentsfor her enormous family. Although she bought the least expensive stocking stuffers she couldfind, the bill was high. Of course, both a 15 percent sales tax and a 5 percent luxury tax wereadded to the original price. She paid a total of Rs.100. What was the cost of the stuffers before taxes?
The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 9 years hence?
x and y are positive integers of h. If 1/x + 1/y < 2, which of the following must be true?
Find the odd man out. 24,36,52,72,96
20. A certain church bell rings the bell twice at half past the hour and four times at the hour plus an additional number of rings equal to what ever time it is. How many rings will the clock make from 6:20 in the morning to 08:10 in the morning?
Ben left a job paying $75,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission. If each of his sales is for $750, what is the least number of sales he must make per year if he is not to lose money because of the change?
When the integer p is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ? I. 2p II. 6p III. 4p + 6
A merchant sells an item at a 10% discount, but still makes a gross profit of 20 percent of the cost. What percent of the cost would the gross profit on the item have been if it had been sold without the discount?
There are 13 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?
A dozen eggs and 10 pounds of apples are currently at the same price. If the price of a dozen eggs rises by 10 percent and the price of apples rises by 2 %. How much more will it cost to buy a dozen eggs and 10 pounds of apples.
A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 50,000 and at the same time n is a perfect square and a perfect cube?
(4+√3+√5)^2-(√3+√5)^2=?
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:
A sock drawer contains two socks, each one a different solid color. The colors of the socks are Indigo, and violet. If the socks are laid next to each other, how many different arrangements of socks could be made?
A car was initially traveling at an average speed of 36 miles per hour. During each of ten successive 5-minute intervals, the car decreased its average speed by 2 miles per hour. How many miles did the car travel in the fourth 5-minute interval?
The average of 7 consecutive numbers is 20. The largest of these numbers is
A combustion reaction forms carbon dioxide. A carbon dioxide molecule contains one carbon and two oxygen atoms. If, over a period of 15 minutes, a combustion reaction creates 15,000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute?
Two dice are tossed. The probability that the total score is a prime number is:
Twenty four men can do a work in 14 days. How many men are required to complete the work in 10 days?
In five football games thus far this season, Barry has run for 98, 107, 85, 89, and 91 yards. At a minimum, how many yards Q will he need to gain this Sunday if he wants to keep his season average above 100 yards?
Boy sells a book for Rs. 540 he gets a loss of 10 %, To gain 10%, what should be the SP?
Three unbiased coins are tossed. What is the probability of getting 1 heads and 1 Tail?
Starting with the initial speed of 30 km/hr, the speed is increased by 4 km/hour every two hours. How many hours will it take to cover a distance of 288 km?
There are between 140 and 150 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
A is twice as good a workman as B and together they finish a piece in 18 days. In how many days will A alone finish the work?
List R contains five numbers that have an average value of 50. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list?
Set Q consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set Q by 50, set Y is derived by multiplying each term in set Q by 1.5, and set Z is derived by dividing each term in set Q by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation?
A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago?
A and B started a business by investing Rs.4000/- and Rs.5000/- respectively. Find the A’s share out of a total profit of Rs.1800:
There are 6 people and 3 chairs. In how many different ways people can occupy the chairs?
How many 3 digit integers can be chosen such that none of the digits appear more than twice and none of the digits equal zero ?
Before 4 years, dog A’s age was 4 times of dog B’s age and after 4 years, dog A’s age will be 3 times of dog B’s age. What is the difference of dog A’s age and dog B’s now?
A certain number X when divided by 223 leaves a remainder of 93. Which of the following can be subtracted from X to make X divisible by 85?
If x + y = 9 and x – y = 3, then x^2 - y^2 =
If candy bars that regularly sell for $0.40 each are on sale at two for $0.75, what is the percent reduction in the price of two such candy bars purchased at the sale price?
What is the units digit of the expression 14^7−18^4?
The ages of two persons differ by 16 years. If 6 years ago, the elder one be 3 times as old as the younger one, find their present ages.
The present ages of three persons in proportions 2 : 2 : 6. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Find the sum of first 100 odd numbers
A can do a piece of work in 5 days, and B can do it in 6 days. How long will they take if both work together?
Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 5.5 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
By looking at a rectangular box, a carpenter estimates that the length of the box is between 2 to 2.1 meters, inclusive, the breadth is between 1 to 1.1 meters, inclusive and the height is between 2 to 2.1 centimeters, inclusive. If the actual length, breadth and height of the box do indeed fall within the respective ranges estimated by the carpenter, which of the following is the closest to the maximum possible magnitude of the percentage error Q that the carpenter can make in calculating the volume of the rectangular box?
A sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $750?
Y and Z start a business with Rs.8000 and Rs.12000 respectively. Hoe should they share their profits at the end of one year?
Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 31.5 kg of zinc has been consumed in it?
In how many ways Chief Minister and Minister be elected from a team of 16 members?
Using all the letters of the word "SOME", how many words can be formed, which begin with S and end with E?
In 140 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
If the money was put in for the same duration of time by A,B and C, three business partners and four times A’s capital is equal to 6 times B’s capital is equal to 10 times C’s capital. Determine that out of a total profit of Rs 4650 what is C’s share?