dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is?
When a number is added to another number the total becomes 33 1⁄3 per cent of the second number. What is the ratio between the first and the second number?
The area of playground is 5900 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter.
A crate of apples contains 1 bruised apple for every 30 apples in the crate. Three out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 12 apples not fit to sell in the crate, how many apples are there in the crate?
A businessman wants to label folders with numbers using digit stickers only. If the businessman uses 1,335 stickers, how many folders have been numbered? (The numbers of the folders are consecutive and the number of the first folder is 1).
The length of a rectangle i s two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
David paid $5,000 for 100 shares of stock X and $3,000 for 100 shares of stock Y. He later sold the same shares of both stocks, gaining 3/6 the amount he paid for stock Y. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have been:
Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 265 barrels of oil?
The cost price of a particular amount of articles is same as the number of articles. Selling price of the articles comes out to be 20. Over the whole transaction 25% is gained. What is X?
In a certain town, there are five times as many people who were born in the town’s state as there are people who were born in another state or country. The ratio of those residents born in the town’s state to the town’s total population is
A company pays project contractors a rate of a dollars for the first hour and b dollars for each additional hour after the first, where a > b. In a given month, a contractor worked on two different projects that lasted 3 and 5 hours, respectively. The company has the option to pay for each project individually or for all the projects at the end of the month. Which arrangement would be cheaper for the company and how much would the company save?
3x<2y<0 which of the following is the greatest?
In the parking lot there are 44 vehicles, 24 of them are buses, and the rest are cars. The color of 24 vehicles is red, of which 18 are buses. How many cars can be found in the parking lot which are not colored red?
If a certain sample of data has a mean of 23.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
Series Problem like 4 12 x 44 46 132 134 begin of the Skype highlighting 44 46 132 134 end of the Skype highlighting. Find x?
How many no.'s with 3 different digits, 2, 3, 5, 6, 7 and 9, which are divisible by 5?
A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 23 mph, what is the speed of the plain in still air?
The total age of A and B is 13 years more than the total age of B and C. C is how many year younger than A
If 1 = 6 2 = 12 3 = 18 4 = 24 5 = 30 6 = 36 7 = 42 Then 42 = ? Hint: Its a logic Riddle not a mathematical riddle
what is the angle between the hands of a clock when time is 8:40?
32,0.2,160,15,0.5,30,28,0.7,?
If 3^k is a divisor of the product of all even integers between 2 and 30 (inclusive), what is the maximum value of k?
When positive integer n is divided by 3, the remainder is 1. When n is divided by 8, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 15?
In a certain country, 60 percent of the population likes basketball, and 33 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf?
At Pat's Pet Shop, 25 cups of bird seed are used every 5 days to feed 20 parakeets. How many cups of bird seed would be required to feed 15 parakeets for 7 days?
What is the greatest possible common divisor of two different positive integers which are less than 144? Can someone explain why the answer is 71 if we assume that the integers are 143 and 142?
A number Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that \|X\|<3?
The present worth of a certain sum due sometimes hence is Rs.1600 and the true discount is Rs.160.The banker's gain is
The length of a rectangular field is 7/5 its width. If the perimeter of the field is 288 meters, what is the width of the field?
A clock shows the time as 11 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.?
In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.08 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on?
\|x+3\| – \|4-x\| = \|8+x\| How many X solutions will this equation have?
A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 10 days starting with sunday is
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Set R has a mean of 14 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
90, 180, 12, 50, 100, 200, ?, 2, 50, 4, 25, 2, 6, 30, 3
Tom planted vegetables in a rectangular garden that was 23 feet long and 15 feet wide. He used 1/3 of the area for corn and 1/5 of it for peas. How many square feet are left for other vegetables?
What will be the product of (50-1)(50-2)(50-3)..............(50-79)*(50-80)?
The factorial expression 9!/2! is not divisible by which of the following integers?
When a natural number N is successively divided by 1,2,3,4 the remainders are 5,6,7,8. What will be the sum of the remainders if the order of the division is reversed?
A man goes from A to B at a speed of 14 kmph and comes back to A at a speed of 10 kmph. Find his average speed for the entire journey?
In a certain city, 40% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 75% of the registered voters who are democrats and 20% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A?
If the product of 6 integers is negative, at most how many of the integers can be negative?
If n divided by 7 has a remainder of 1, what is the remainder when 3 times n is divided by 7?
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
In a particular state, 62% of the counties received some rain on Monday, and 54% of the counties received some rain on Tuesday. No rain fell either day in 28% of the counties in the state. What percent of the counties received some rain on Monday and Tuesday?
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
The “s-number” of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^s, where s is the s-number of the result of his die roll, and plots 3^s on a number line as the point A. Finally, he repeats this entire process, this time plotting the result as the point B. What is the probability that the distance between A and B is greater than the value of B?
Today my car meter reads as 63736 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom.
The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is:
The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability T that 3 of Sam’s 4 funds grew by at least 10% over last year?
Roy is now 8 years older than Julia and half of that amount older than Kelly. If in 2 years, Roy will be twice as old as Julia, then in 2 years what would be Roy’s age multiplied by Kelly’s age?
Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is?
The greatest number by which the product of three consecutive multiples of 3 is always divisible is
For a drama, Jack need to select 5 dramatist from a team of 8 members. What is the possible way to select dramatist?
Evaluate 20% of 450 + 45% of 200
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
Convert 150 inches into centimeter?
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
What number comes next in this Number series. 3 4 4 6 9 7 8 ? *Hint: check calender
A chair is bought for Rs. 800/- and sold at a loss of 10% find its selling price
The surface area of a sphere is 4πR2, where R is the radius of the sphere. If the area of the base of a hemisphere is 3, what is the surface area E of that hemisphere?
A person purchased a TV set for Rs. 1000 and a DVD player for Rs. 650. He sold both the items together for Rs. 2500. What percentage of profit did he make?
What is the probability of getting a sum 9 from two throws of a dice?
On a ferry, there are 38 cars and 12 trucks. The cars have an average mass of 950 kg and the trucks have an average mass of 3100 kg. What is the average mass of all 50 vehicles on the ferry?
How long will a boy take to run round a square field of side 20 meters, if he runs at the rate of 12km/hr?
In a party every person shakes hands with every other person. If there were a total of 105 handshakes in the party then what is the number of persons present in the party ?
A collection of books went on sale, and 2/3 of them were sold for $3.50 each. If none of the 40 remaining books were sold, what was the total amount received for the books that were sold?
Of the three-digit integers greater than 500, how many have two digits that are equal to each other and the remaining digit different from the other two?
8, 19, 30, 41, 52, …. Given the sequence above, what is the sum of the 12th and the 20th terms?
When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 39?
The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 45. Then find the average for the last four matches?
In order to fence a square Manish fixed 48 poles. If the distance between two poles, is 2 metres then what will be the area of the square so formed?
While flying over the Pacific, an airplane makes a 25° turn to the right to avoid a storm. If, as a result, the airplane is traveling in a direction 7° east of north, in what direction was it originally flying?
How many of the positive factors of 45 , 16 and how many common factors are there in numbers?
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
A fair die is rolled once and a fair coin is flipped once. What is the probaility that either the die will land on 3 or that the coin will land on heads?
Two identical machines have the ability to produce both nuts and bolts. However, it takes 3 second to produce a bolt but 1 seconds to produce a nut. What is the fastest the two machines, working together, can produce 1,000 nuts and 1,000 bolts?
A train takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
How many seconds will a 400 metre long train take to cross a man running with a speed of 6 km/hr in the direction of the moving train if the speed of the train is 46 km/hr?
Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 55% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
The volume of water inside a swimming pool doubles every hour. If the pool is filled to its full capacity within 8 hours, in how many hours was it filled to one quarter of its capacity?
A pair of prime numbers that can be expressed in the form K{p, (p + 6)} is deﬁned as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT
While working alone at their respective constant rates, server B uploads 480 files in 4 hours and server Y uploads 480 files in 8 hours. If all files uploaded by these servers are the same size, how long would it take the two servers, working at the same time and at their respective constant rates, to process a total of 480 files?
The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4 ?
If the integer n has exactly three positive divisors, including 1 and n, how many positive divisors does n^3 have?
Two employees M and N are paid a total of $605 per week by their employer. If M is paid 120 percent of the salary paid to N, how much is N paid per week?
When 50 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?
A company has 15 managers and 75 associates. The 15 managers have an average salary of $150,000. The 75 associates have an average salary of $30,000. What is the average salary for the company?
Together, 15 type A machines and 7 type B machines can complete a certain job in 4 hours. Together 8 type B machines and 15 type C machines can complete the same job in 11 hours. How many Q hours would it take one type A machine, one type B machine, and one type C machine working together to complete the job (assuming constant rates for each machine)?
The price of pulses has fallen by 35. How many quintals can be bought for the same amount which was sufficient to buy 24 quintals at the higher price?
A man can swim in still water at 9 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Two friends run the New York City marathon, one friend finishes the marathon in 400 minutes while the second friend finishes the marathon in 625 minutes. What is the ratio of their speed?
The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
What is the lowest positive integer that is divisible by 4 through 7, inclusive?
A, B and C shared profits in ratio of 5 : 3 : 8. Theypartnered for 14months, 8months and 7months respectively. What was he ratio of their investments ?
1391 x 1391 = ?
A type T machine can complete a job in 5 hours and a type B machine can complete the job in 7 hours. How many hours will it take 2 type T machines and 3 type B machines working together and independently to complete the job?

The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is?

When a number is added to another number the total becomes 33 1⁄3 per cent of the second number. What is the ratio between the first and the second number?

The area of playground is 5900 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter.

A crate of apples contains 1 bruised apple for every 30 apples in the crate. Three out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 12 apples not fit to sell in the crate, how many apples are there in the crate?

A businessman wants to label folders with numbers using digit stickers only. If the businessman uses 1,335 stickers, how many folders have been numbered? (The numbers of the folders are consecutive and the number of the first folder is 1).

The length of a rectangle i s two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?

David paid $5,000 for 100 shares of stock X and $3,000 for 100 shares of stock Y. He later sold the same shares of both stocks, gaining 3/6 the amount he paid for stock Y. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have been:

Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 265 barrels of oil?

The cost price of a particular amount of articles is same as the number of articles. Selling price of the articles comes out to be 20. Over the whole transaction 25% is gained. What is X?

In a certain town, there are five times as many people who were born in the town’s state as there are people who were born in another state or country. The ratio of those residents born in the town’s state to the town’s total population is

A company pays project contractors a rate of a dollars for the first hour and b dollars for each additional hour after the first, where a > b. In a given month, a contractor worked on two different projects that lasted 3 and 5 hours, respectively. The company has the option to pay for each project individually or for all the projects at the end of the month. Which arrangement would be cheaper for the company and how much would the company save?

3x<2y<0 which of the following is the greatest?

In the parking lot there are 44 vehicles, 24 of them are buses, and the rest are cars. The color of 24 vehicles is red, of which 18 are buses. How many cars can be found in the parking lot which are not colored red?

If a certain sample of data has a mean of 23.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?

Series Problem like 4 12 x 44 46 132 134 begin of the Skype highlighting 44 46 132 134 end of the Skype highlighting. Find x?

How many no.'s with 3 different digits, 2, 3, 5, 6, 7 and 9, which are divisible by 5?

A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 23 mph, what is the speed of the plain in still air?

The total age of A and B is 13 years more than the total age of B and C. C is how many year younger than A

If 1 = 6 2 = 12 3 = 18 4 = 24 5 = 30 6 = 36 7 = 42 Then 42 = ? Hint: Its a logic Riddle not a mathematical riddle

what is the angle between the hands of a clock when time is 8:40?

32,0.2,160,15,0.5,30,28,0.7,?

If 3^k is a divisor of the product of all even integers between 2 and 30 (inclusive), what is the maximum value of k?

When positive integer n is divided by 3, the remainder is 1. When n is divided by 8, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 15?

In a certain country, 60 percent of the population likes basketball, and 33 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf?

At Pat's Pet Shop, 25 cups of bird seed are used every 5 days to feed 20 parakeets. How many cups of bird seed would be required to feed 15 parakeets for 7 days?

What is the greatest possible common divisor of two different positive integers which are less than 144? Can someone explain why the answer is 71 if we assume that the integers are 143 and 142?

A number Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that |X|<3?

The present worth of a certain sum due sometimes hence is Rs.1600 and the true discount is Rs.160.The banker's gain is

The length of a rectangular field is 7/5 its width. If the perimeter of the field is 288 meters, what is the width of the field?

A clock shows the time as 11 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.?

In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.08 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on?

|x+3| – |4-x| = |8+x| How many X solutions will this equation have?

A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 10 days starting with sunday is

The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

Set R has a mean of 14 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?

90, 180, 12, 50, 100, 200, ?, 2, 50, 4, 25, 2, 6, 30, 3

Tom planted vegetables in a rectangular garden that was 23 feet long and 15 feet wide. He used 1/3 of the area for corn and 1/5 of it for peas. How many square feet are left for other vegetables?

What will be the product of (50-1)*(50-2)*(50-3)*..............*(50-79)*(50-80)?

The factorial expression 9!/2! is not divisible by which of the following integers?

When a natural number N is successively divided by 1,2,3,4 the remainders are 5,6,7,8. What will be the sum of the remainders if the order of the division is reversed?

A man goes from A to B at a speed of 14 kmph and comes back to A at a speed of 10 kmph. Find his average speed for the entire journey?

In a certain city, 40% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 75% of the registered voters who are democrats and 20% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A?

If the product of 6 integers is negative, at most how many of the integers can be negative?

If n divided by 7 has a remainder of 1, what is the remainder when 3 times n is divided by 7?

A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?

In a particular state, 62% of the counties received some rain on Monday, and 54% of the counties received some rain on Tuesday. No rain fell either day in 28% of the counties in the state. What percent of the counties received some rain on Monday and Tuesday?

In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?

The “s-number” of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^s, where s is the s-number of the result of his die roll, and plots 3^s on a number line as the point A. Finally, he repeats this entire process, this time plotting the result as the point B. What is the probability that the distance between A and B is greater than the value of B?

Today my car meter reads as 63736 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom.

The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is:

The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability T that 3 of Sam’s 4 funds grew by at least 10% over last year?

Roy is now 8 years older than Julia and half of that amount older than Kelly. If in 2 years, Roy will be twice as old as Julia, then in 2 years what would be Roy’s age multiplied by Kelly’s age?

Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is?

The greatest number by which the product of three consecutive multiples of 3 is always divisible is

For a drama, Jack need to select 5 dramatist from a team of 8 members. What is the possible way to select dramatist?

Evaluate 20% of 450 + 45% of 200

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

Convert 150 inches into centimeter?

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?

What number comes next in this Number series. 3 4 4 6 9 7 8 ? *Hint: check calender

A chair is bought for Rs. 800/- and sold at a loss of 10% find its selling price

The surface area of a sphere is 4πR2, where R is the radius of the sphere. If the area of the base of a hemisphere is 3, what is the surface area E of that hemisphere?

A person purchased a TV set for Rs. 1000 and a DVD player for Rs. 650. He sold both the items together for Rs. 2500. What percentage of profit did he make?

What is the probability of getting a sum 9 from two throws of a dice?

On a ferry, there are 38 cars and 12 trucks. The cars have an average mass of 950 kg and the trucks have an average mass of 3100 kg. What is the average mass of all 50 vehicles on the ferry?

How long will a boy take to run round a square field of side 20 meters, if he runs at the rate of 12km/hr?

In a party every person shakes hands with every other person. If there were a total of 105 handshakes in the party then what is the number of persons present in the party ?

A collection of books went on sale, and 2/3 of them were sold for $3.50 each. If none of the 40 remaining books were sold, what was the total amount received for the books that were sold?

Of the three-digit integers greater than 500, how many have two digits that are equal to each other and the remaining digit different from the other two?

8, 19, 30, 41, 52, …. Given the sequence above, what is the sum of the 12th and the 20th terms?

When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 39?

The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 45. Then find the average for the last four matches?

In order to fence a square Manish fixed 48 poles. If the distance between two poles, is 2 metres then what will be the area of the square so formed?

While flying over the Pacific, an airplane makes a 25° turn to the right to avoid a storm. If, as a result, the airplane is traveling in a direction 7° east of north, in what direction was it originally flying?

How many of the positive factors of 45 , 16 and how many common factors are there in numbers?

Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

A fair die is rolled once and a fair coin is flipped once. What is the probaility that either the die will land on 3 or that the coin will land on heads?

Two identical machines have the ability to produce both nuts and bolts. However, it takes 3 second to produce a bolt but 1 seconds to produce a nut. What is the fastest the two machines, working together, can produce 1,000 nuts and 1,000 bolts?

A train takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?

How many seconds will a 400 metre long train take to cross a man running with a speed of 6 km/hr in the direction of the moving train if the speed of the train is 46 km/hr?

Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 55% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?

The volume of water inside a swimming pool doubles every hour. If the pool is filled to its full capacity within 8 hours, in how many hours was it filled to one quarter of its capacity?

A pair of prime numbers that can be expressed in the form K{p, (p + 6)} is deﬁned as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT

While working alone at their respective constant rates, server B uploads 480 files in 4 hours and server Y uploads 480 files in 8 hours. If all files uploaded by these servers are the same size, how long would it take the two servers, working at the same time and at their respective constant rates, to process a total of 480 files?

The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4 ?

If the integer n has exactly three positive divisors, including 1 and n, how many positive divisors does n^3 have?

Two employees M and N are paid a total of $605 per week by their employer. If M is paid 120 percent of the salary paid to N, how much is N paid per week?

When 50 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?

A company has 15 managers and 75 associates. The 15 managers have an average salary of $150,000. The 75 associates have an average salary of $30,000. What is the average salary for the company?

Together, 15 type A machines and 7 type B machines can complete a certain job in 4 hours. Together 8 type B machines and 15 type C machines can complete the same job in 11 hours. How many Q hours would it take one type A machine, one type B machine, and one type C machine working together to complete the job (assuming constant rates for each machine)?

The price of pulses has fallen by 35. How many quintals can be bought for the same amount which was sufficient to buy 24 quintals at the higher price?

A man can swim in still water at 9 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?

Two friends run the New York City marathon, one friend finishes the marathon in 400 minutes while the second friend finishes the marathon in 625 minutes. What is the ratio of their speed?

The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?

What is the lowest positive integer that is divisible by 4 through 7, inclusive?

A, B and C shared profits in ratio of 5 : 3 : 8. Theypartnered for 14months, 8months and 7months respectively. What was he ratio of their investments ?

1391 x 1391 = ?

A type T machine can complete a job in 5 hours and a type B machine can complete the job in 7 hours. How many hours will it take 2 type T machines and 3 type B machines working together and independently to complete the job?