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big_math_dataset

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How many keystrokes are needed to type numbers from 1 to 1000?
Look at this series: V, VIII, XI, XIV, __, XX, ... What number should fill the blank?
If |x - 9| = 3x, then x=?
If two positive numbers are in the ratio 1/8 : 1/7, then by what percent is the second number more than the first?
A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?
How many different pairs of numbers (s, t) such that s = 3t can be obtained if s and t are selected from the set of number {3, 4, 5, 6, 7, 8, 9}
A warehouse is labeling computer inventory with 3-digit codes. Each code is to consist of four digits between the numbers 0 and 8. The manager is debating whether to allow any 3-digit codes to have leading zero's before a non-zero number is used. If not allowed, then numbers like0025cannot be used. The manager wants to measure the magnitude of the number of 3-digit code possibilities that are lost if he disallows the use of leading zero's. How many such codes would be lost?
find two integers, neither of which ends in a zero, and whose product is exactly 1,00,000
Calculate how many ways a woman who has 2 bags and 4 books can put the books in her bag?
How many points (x, y) lie on the line segment between (22, 12 2/3) and (16, 17 2/3) such that x and y are both integers?
When 12 is divided by the positive integer k, the remainder is 7, for how many different values of k is this true?
On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 20 miles on Saturday and Sunday, how many miles did Bill run on Sunday?
A worm is at the bottom of a forty foot hole. It can crawl upwards at the rate of four feet in one day, but at night, it slips back three feet. At this rate, how long will it take the worm to crawl out of the hole?
A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
You buy a piece of land with an area of √900, how long is one side of the land plot?
By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Of the 14 members of a dancing group,10 can perform modern dancing, 8 can perform traditional dancing, and 4 can perform both type of dancing. If one member is chosen at random, what is the probability that the member chosen will be someone who can not perform neither type of dancing?
A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio R of milk and water in the resultant mixture?
The price of 3 pens and 6 pencils is Rs. 1500. With the same money one can buy 1 pen and 12 pencils. If one wants to buy 23 pencils, how much shall he have to pay ?
The letters in the word "PLACES" are permuted in all possible ways and arranged in the alphabetical order.Find the word at 48 position.
In some quantity of alcohol, 50% of pure alcohol and 30% of is water. If 20liters of pure alcohol is added, then the strength of alcohol solution becomes 20%. The original quantity was?
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
f(x) is defined as the largest integer n such that x is divisible by 2^n. Which of the following numbers is the biggest?
In a certain series, each term is m greater than the previous term. If the 16th term is 660 and the 13th term is 600, what is the first term?
0.40 represents what percent of 0.008?
A 10 Liter mixture of milk and water contains 30 percent water. Two liters of this mixture is taken away. How many liters of water should now be added so that the amount of milk in the mixture is double that of water?
10 friends meet for movie 20 for picnic and 5 for games 4 for movie & picnic 2 for movie & games, 0 for picnic & games, 2 for all, how many are students are there in all?
The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 33 ft long. What is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel?
60 percent of movie theatres in Town X have 2 screens or less. 20% of those theatres sell an average of more than $300 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day?
In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points R is in the same quadrant as the fourth vertex of the square?
Solve(0.76 × 0.76 × 0.76 − 0.008)/(0.76 × 0.76 + 0.76 × 0.2 + 0.04)
The length of a rectangle is four times its width. If the area is 100 m2 what is the length of the rectangle?
How many integral divisors does the number 120 have?
The value of land increases by x% during June and decreases by y% during July. If the value of the land is the same at the end of July as at the beginning of June, what is y in terms of x?
power windows: 60% anti-lock brakes: 25% CD player: 45% The table above shows the number of vehicles at Bill's car dealership that have certain features. No vehicle has all three features, but 10% have power windows and anti-lock brakes, 15% have anti-lock brakes and a CD player, and 22% have power windows and a CD player. What percent of the vehicles at Bill's car dealership have a CD player but no power windows or anti-lock brakes?
30 quintals is what percent of 2 metric tonnes ?
Q is a set of nine distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?
Three positive integers a, b, and c are such that their average is 12 and a ≤ b ≤ c. If the median is (a + 5), what is the least possible value of c?
A number, x is chosen at random from the set of positive integers less than 12. What is the probability that (9/x) > x?
The least number which should be added to 28523 so that the sum is exactly divisible by 3, 5, 7 and 8 is
What is the sum of all even numbers from 1 to 601?
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
The ratio of the number of females to males at a party was 1:2 but when 7 females and 7 males left, the ratio became 1:3. How many people were at the party originally?
The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 5 people, the cost per person would have been $50 less. What was the total cost cost of the vacation?
If a number N is chosen at random from the set of two-digit integers whose digits are both prime numbers, what is the probability R that N is divisible by 3?
In a camp, there is a meal for 100 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ?
When you multiply a number by 4 and then subtract 8, the result is the same as if you first subtracted 4 from the same number and then multiplied by 12. What is the number?
Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 742.
If 3/p=8 & 3/q=18 then p-q=?
A group of three girls and three boys have tickets for six adjacent seats in one row of a theater. If the three boys will not sit in three adjacent seats, how many possible different seating arrangements are there for these 6 theatre-goers?
Point A is moving along 32 inch circle at a rate of 8 inches per second. Two seconds after A starts, point B moves from the same starting point on the circle at 12 inches per scond. What is the shortest time that B could take in order to coincide with A?
Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?
A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 38 years and that of the grandchildren is 6 years. What is the average age of the family?
Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
A is twice as good a work man as B and together they finish a piece of work in 36 days.The number of days taken by B alone to finish the work is :
When positive integer A is divided by positive integer B, the remainder is 5. If A/B = 58.25, what is the value of B?
How many numbers between 11 and 90 are divisible by 7?
The cash realised on selling a 14% stock is Rs.108.25, brokerage being 1/4% is?
4^x +4* 4^-x = 4 What is the value of x?
A box contains 4 black and 5 red balls and another box contains 5 black and 4 red balls. One ball is to drawn from either of two boxes. What is the probability of drawing a black ball ?
The population of a certain town increases by 50 percent every 50 years. If the population in 1950 was 810, in what year was the population 160?
In a group of ducks and cows, the total number of legs are 26 more than twice the no. of heads. Find the total no.of buffaloes.
Rs.1300 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
g(x) is defined as the product of all even integers k such that 0 < k ≤ x. For example, g(14) = 2 × 4 × 6 × 8 × 10 × 12 × 14. If g(r) is divisible by 4^11, what is the smallest possible value for r?
In a camp, there is a meal for 120 men or 200 children. If 125 children have taken the meal, how many men will be catered to with remaining meal?
Mrs. Evans gave a test to her freshmen economics class, which has 29 students enrolled and 19 of them answered question 1 correctly. If 24 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly?
How many combinations of numbers less than 8 make their sum=8 (repetation of numbers is allowed)
Machine A working alone can complete a job in 3 hours. Machine B working alone can do the same job in 4 hours. How long will it take both machines working together at their respective constant rates to complete the job?
In a workshop there are 4 kinds of beds, 5 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
Anne bought a computer for $2,000 and then paid a 5 percent sales tax, and Henry bought a computer for $1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that Anne paid, including sales tax?
2646 can be expressed as a product of primes as
If B and C are digits and 8BC is a 2-digit number that is divisible by 2, which of the following is a possible product of B and C?
The sum of the cube of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is :
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 26 with him, what was the average amount with the group before his joining the group?
Find the third proportion to 12, 36?
If 1 + 9 + 11 = 1, Then what is the value of 12 + 11 + 9 = ?
If pq = p^4 + q^2 – 2pq, for what value of q is pq equal to p^4 for all values of p?
A completes a work in 10 days and B complete the same work in 12 days. If both of them work together, then the number of days required to complete the work will be
If 0.75 : x :: 5 : 8, then x is equal to:
A bag holds 3 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be green?
If x is 30 percent greater than 88, then x =
The smallest prime number is:
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 17, 28 and 35, 45 what is the minimum possible range in scores of the three test-takers?
The G.C.D. of 1.08, 0.31 and 0.9 is:
During a two-week period, the price of an ounce of silver increased by 20 percent by the end of the first week and then decreased by 10 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?
The sector of a circle has radius of 28 cm and central angle 135o. Find its perimeter?
Which of the following has the most number of divisors?
Adam spent 1/6 of his lifetime in adolescence. His facial hair started growing after 1/12 more of his life. He successfully married his girlfriend Diana after 1/7 more of his life. Their son was born after 5 years from then. The son lived just 1/2 of what Adam lived. Adam dies four years after his son died.
How much 80% of 40 is greater than 10% of 15?
The cost of a one-family home was $ 120,000 in 1980. In 1988, the price had increased to $ 186,000. What was the percent increase in the cost of the home?
If two pipes function simultaneously the reservoir will be filled in 12 hours, one pipe fills the reservoir 10 hours faster than the other. How many hours it takes the second pipe to fill the reservoir?
The ratio between the length and the breadth of a rectangular park is 1 : 4. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
Sanjay deposited Rs. 5000 in the bank. The bank offered simple interest at the rate of 12 per cent per year. After 5 years the total amount received by him will be:
log root(8)/log 8 is equal to
Baby Isabel plays with blocks. Each block is 1.5 inches tall. She has a collection of 20 blocks. If she could stack all of the blocks up one on top of the other, how many inches tall would her tower of blocks be?
A military commander has to choose 2 soldiers out of a company of 9 for guarding the headquarters. How many different group combinations of 2 does he have to choose from?
A trail mix company keeps costs down by employing the peanuts:cashews:almonds ratio of 10:4:1 in each bag of up to 75 total nuts. What is the maximum percentage by which the company could decrease its number of peanuts per bag and still have peanuts constitute more than half the total amount of nuts?