dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
A 10-by-7 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?
In how many different ways can 7 girls and 7 boys form a circle such that the boys and the girls alternate?
On 8th march,2005,Wednesday falls. What day of the week was it on 8th march,2004?
Two employees X and Y are paid a total of Rs. 638 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
If the number is decreased by 5 and divided by 7 the result is 7. What would be the result if 2 is subtracted and divided by 13?
An outlet pipe empties a tank which is full in 5 hours. If the inlet pipe is kept open, which lets water in at the rate of 8 litres/min then outlet pipe would take 3 hours longer. Find the capacity of the tank.
If the simple interest on a sum of money for 3 years at 7% per annum is Rs. 570, what is the compound interest on the same sum at the rate and for the same time?
While working alone at their constant rates, computer X can process 240 files in 12 hours, and computer Y can process 240 files in 4 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A group of 10 representatives is to be selected out of 15 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 10% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit?
4.036 divided by 0.04 gives
What will come in place of the x in the following Number series? 18, 22, 30, 46 ,X, 142
One thief entered a cave where he found a pile of diamonds. At first he thought of taking all. But listening to his conscience he thought of taking only half of them. But while returning he picked up two more from the pile. After that Second thief entered the cave and bagged half of remaining diamonds and picked up two more while returning. Later third thief entered and did the same. Even the fourth thief did the same. When the fifth thief entered he found only one diamond in the cave. How many diamonds are there in the cave at first.
A train overtakes 2 girls who are walking inthe opposite direction in which the train is going at the rate of 3 km/hour & 6km/hour and passes them completely in 36sec & 30 sec respectively. Find the length of the train is?
If 4x + y = 8 and −2x + y = 13, then what is the value of 2x + 2y?
In a 500 m race, the ratio of the speeds of two contestants A and B is 2 : 4. A has a start of 300 m. Then, A wins by:
The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, what will be son's age?
A person incures loss for by selling a watch for rs1140.at what price should the watch be sold to earn a 5% profit ?
In a apartment, 20% of the people speak English, 60% speak Hindi and 60% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
The difference between the length and breadth of a rectangle is 30 m. If its perimeter is 240 m, then its area is:
A straight line in the xy- plane has slope 4 . On this line the x-coordinate of the point is 50 and y-coordinate is 300 then what is the y intercept of the plane?
If a truck is travelling at a speed of 54 kmph, crosses a pole in 1 sec, then the length of train is?
What is the sum of all the prime factors of 220 and 330?
Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite direction for 4 miles and then turn to left and run for another 3 miles. what is the distance between the the two twins when they stop ?
If x and y are positive integers, then xy - y is
If x, y, and z are all factors of 21, which of the following must be true?
Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x?
Which one of the following can't be the square of natural number ?
Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1) What is the largest prime number (written in binary) that is a factor of both 10110000 and 101100000 ?
If x = - \|x\| , then which one of the following statements could be true? I. x <1 II. x < 0 III. x > 0
Of the 14,210 employees of the anvil factory, 3/7 are journeymen. If half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen?
If a and b are positive numbers, and a^3 + b^3 = 140, then the greatest possible value of a is between:
Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 3?
Two trains of length 100 meters and 200 meters are 630 meters apart. They are moving towards each other on parallel tracks, at speeds of 90 km/h and 72 km/h. After how many seconds will the trains meet?
Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for q dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?
Allen walks at an average speed of 4km/h, to the park and then return to the home he walks at an average speed of 8km/h. Which of the following is the closest approximation of Allen's average speed, in kilometers per hour, for the trip?
Each child has 8 crayons and 15 apples. If there are 7 children, how many crayons are there in total?
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Two sets A and B consists only of positive integers such that mean of set A is 40 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is =>
A train 280 m long passed a pole in 28 sec. How long will it take to pass a platform 660 m long?
A baker makes chocolate cookies and peanut cookies. His recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. If he makes exactly 97 cookies, what is the minimum number of chocolate chip cookies he makes?
A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
9 persons a, b, c, ... and i are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there?
Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,600 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees?
The botanic garden is planting bulbs for the spring flower show. The head gardener is trying to decide how to place three Tulips bulbs, three Daffodil bulbs, and three Crocus bulbs along the front row. How many different arrangements can he make of these bulbs in the front row?
What sum of money put at C.I amounts in 2 years to Rs.8880 and in 3 years to Rs.9261?
Find the area of a parallelogram with base 24 cm and height 16 cm?
A fresh water aquarium contains Molly fish and Guppy fish at a ratio of 15:16. If 35 additional Guppy fish were put in the aquarium, the ratio of Molly fish to Guppy fish would be 15:21. How many Molly fish does the aquarium contain?
After M students took a test, the average score was 65%. If the test has 50 questions, what is the least number of questions that the next student has to get right to bring the average score up to 70%?
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Jim bought edging to go around a circular garden with a radius of 4 feet. Later he decided to double the diameter of the garden. How many more feet of edging must he buy?
There are 50 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?
The diameter of a cylindrical tin is 14 cm and height is 2 cm. Find the volume of the cylinder?
What approximate value should come in place of the question mark (?) in the following equation? 16√524 + 1492 - 250.0521?
A retail item is offered at a discount of b percent (where b > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of b, would result in the same final price?
A train 1600 m long passes a man, running at 6 km/hr in the same direction in which the train is going, in 60 sec. The speed of the train is?
In a company of 16 employees, 8 employees earn $38,000, 4 employees earn $42,000, and the 4 highest-paid employees earn the same amount. If the average annual salary for the 16 employees is $44,000, what is the annual salary for each of the highest-paid employees?
What is the area of a square field whose diagonal of length 20 m?
How many times are the hands of a clock at right angle in a day?
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
If 0.5% of A =70 paise, then the value of A is ?
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 1/5, what is the value of X/Y ?
The distance from City A to City B is 120 miles. While driving from City A to City B, Cara drives at a constant speed of 30 miles per hour. Dan leaves City A 60 minutes after Cara. What is the minimum constant speed in miles per hour that Dan must exceed in order to arrive in City B before Cara?
Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
\|x+3\| – \|4-x\| = \|9+x\| How many solutions will this equation have?

A 10-by-7 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?

In how many different ways can 7 girls and 7 boys form a circle such that the boys and the girls alternate?

On 8th march,2005,Wednesday falls. What day of the week was it on 8th march,2004?

Two employees X and Y are paid a total of Rs. 638 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

If the number is decreased by 5 and divided by 7 the result is 7. What would be the result if 2 is subtracted and divided by 13?

An outlet pipe empties a tank which is full in 5 hours. If the inlet pipe is kept open, which lets water in at the rate of 8 litres/min then outlet pipe would take 3 hours longer. Find the capacity of the tank.

If the simple interest on a sum of money for 3 years at 7% per annum is Rs. 570, what is the compound interest on the same sum at the rate and for the same time?

While working alone at their constant rates, computer X can process 240 files in 12 hours, and computer Y can process 240 files in 4 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?

A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?

A group of 10 representatives is to be selected out of 15 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?

Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 10% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit?

4.036 divided by 0.04 gives

What will come in place of the x in the following Number series? 18, 22, 30, 46 ,X, 142

One thief entered a cave where he found a pile of diamonds. At first he thought of taking all. But listening to his conscience he thought of taking only half of them. But while returning he picked up two more from the pile. After that Second thief entered the cave and bagged half of remaining diamonds and picked up two more while returning. Later third thief entered and did the same. Even the fourth thief did the same. When the fifth thief entered he found only one diamond in the cave. How many diamonds are there in the cave at first.

A train overtakes 2 girls who are walking inthe opposite direction in which the train is going at the rate of 3 km/hour & 6km/hour and passes them completely in 36sec & 30 sec respectively. Find the length of the train is?

If 4x + y = 8 and −2x + y = 13, then what is the value of 2x + 2y?

In a 500 m race, the ratio of the speeds of two contestants A and B is 2 : 4. A has a start of 300 m. Then, A wins by:

The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, what will be son's age?

A person incures loss for by selling a watch for rs1140.at what price should the watch be sold to earn a 5% profit ?

In a apartment, 20% of the people speak English, 60% speak Hindi and 60% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?

The difference between the length and breadth of a rectangle is 30 m. If its perimeter is 240 m, then its area is:

A straight line in the xy- plane has slope 4 . On this line the x-coordinate of the point is 50 and y-coordinate is 300 then what is the y intercept of the plane?

If a truck is travelling at a speed of 54 kmph, crosses a pole in 1 sec, then the length of train is?

What is the sum of all the prime factors of 220 and 330?

Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite direction for 4 miles and then turn to left and run for another 3 miles. what is the distance between the the two twins when they stop ?

If x and y are positive integers, then xy - y is

If x, y, and z are all factors of 21, which of the following must be true?

Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x?

Which one of the following can't be the square of natural number ?

Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1) What is the largest prime number (written in binary) that is a factor of both 10110000 and 101100000 ?

If x = - |x| , then which one of the following statements could be true? I. x <1 II. x < 0 III. x > 0

Of the 14,210 employees of the anvil factory, 3/7 are journeymen. If half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen?

If a and b are positive numbers, and a^3 + b^3 = 140, then the greatest possible value of a is between:

Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 3?

Two trains of length 100 meters and 200 meters are 630 meters apart. They are moving towards each other on parallel tracks, at speeds of 90 km/h and 72 km/h. After how many seconds will the trains meet?

Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for q dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?

Allen walks at an average speed of 4km/h, to the park and then return to the home he walks at an average speed of 8km/h. Which of the following is the closest approximation of Allen's average speed, in kilometers per hour, for the trip?

Each child has 8 crayons and 15 apples. If there are 7 children, how many crayons are there in total?

A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?

Two sets A and B consists only of positive integers such that mean of set A is 40 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is =>

A train 280 m long passed a pole in 28 sec. How long will it take to pass a platform 660 m long?

A baker makes chocolate cookies and peanut cookies. His recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. If he makes exactly 97 cookies, what is the minimum number of chocolate chip cookies he makes?

A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?

9 persons a, b, c, ... and i are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there?

Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,600 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees?

The botanic garden is planting bulbs for the spring flower show. The head gardener is trying to decide how to place three Tulips bulbs, three Daffodil bulbs, and three Crocus bulbs along the front row. How many different arrangements can he make of these bulbs in the front row?

What sum of money put at C.I amounts in 2 years to Rs.8880 and in 3 years to Rs.9261?

Find the area of a parallelogram with base 24 cm and height 16 cm?

A fresh water aquarium contains Molly fish and Guppy fish at a ratio of 15:16. If 35 additional Guppy fish were put in the aquarium, the ratio of Molly fish to Guppy fish would be 15:21. How many Molly fish does the aquarium contain?

After M students took a test, the average score was 65%. If the test has 50 questions, what is the least number of questions that the next student has to get right to bring the average score up to 70%?

Find the value of y from (12)^3 x 6^4 ÷ 432 = y?

Jim bought edging to go around a circular garden with a radius of 4 feet. Later he decided to double the diameter of the garden. How many more feet of edging must he buy?

There are 50 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?

The diameter of a cylindrical tin is 14 cm and height is 2 cm. Find the volume of the cylinder?

What approximate value should come in place of the question mark (?) in the following equation? 16√524 + 1492 - 250.0521?

A retail item is offered at a discount of b percent (where b > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of b, would result in the same final price?

A train 1600 m long passes a man, running at 6 km/hr in the same direction in which the train is going, in 60 sec. The speed of the train is?

In a company of 16 employees, 8 employees earn $38,000, 4 employees earn $42,000, and the 4 highest-paid employees earn the same amount. If the average annual salary for the 16 employees is $44,000, what is the annual salary for each of the highest-paid employees?

What is the area of a square field whose diagonal of length 20 m?

How many times are the hands of a clock at right angle in a day?

Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is

If 0.5% of A =70 paise, then the value of A is ?

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 1/5, what is the value of X/Y ?

The distance from City A to City B is 120 miles. While driving from City A to City B, Cara drives at a constant speed of 30 miles per hour. Dan leaves City A 60 minutes after Cara. What is the minimum constant speed in miles per hour that Dan must exceed in order to arrive in City B before Cara?

Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.

An article is bought for Rs.675 and sold for Rs.900, find the gain percent?

|x+3| – |4-x| = |9+x| How many solutions will this equation have?