dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
A painting crew painted 80 houses. They painted the first y houses at a rate of x houses per week. Then more painters arrived and everyone worked together to paint the remaining houses at a rate of 4.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?
A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
A box contains 100 balls, numbered from 1 to 100. If 3 balls are selected at random and with replacement from the box. If the 3 numbers on the balls selected contain two odd and one even. What is the probability Z that the first ball picked up is odd numbered?
Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If they are 60 km apart both 3 and 6 hours after start, then find the distance between the two stations.
A boat can travel with a speed of 25km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 90km downstream.
An incredible punch is composed of mango, orange juice, and milk. How many pints of orange juice are required to make 9 gallons of punch containing twice as much mango as orange juice and three times as much orange juice as milk? (1 Gallon = 8 Pints )
If a man can cover 12 metres in 0ne second, how many kilometres can he cover in 3 hours 45 minutes?
John has on his shelf four books of poetry, two novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?
Ajay can ride 50km in 1 hour. In how many hours he can ride 900km?
A window 2 inches wide is placed on the back of a rectangular painted area with dimensions 8 inches by 12 inches. What is the area of the window, in square inches?
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
X and Y invest Rs.12500 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
The sum of the first 50 positive even integers is 2550. What is the sum of the even integers from 302 to 400 inclusive?
If Janice was 24 years old z years ago and Lisa will be 22 years old in p years, what was the average (arithmetic mean) of their ages 6 years ago?
A train 225 m long passes a man, running at 10km/hr in the same direction in which the train is going, in10 seconds. The speed of the train is:
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 4 different offices?
If Janice was 22 years old z years ago and Lisa will be 20 years old in p years, what was the average (arithmetic mean) of their ages 7 years ago?
It takes John exactly 30 minutes to rake a lawn and it takes his son Todd exactly 60 minutes to rake the same lawn. If John and Todd decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them to rake the lawn
The price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980. If its price of $2.00 in 1970 was 150 percent of its price in 1960, what was its price in 1980?
What will come in place of the x in the following Number series? 12, 38, 116, 350, x
Machine A and machine G are each used to manufacture 660 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine G. Machine G produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?
350 is increased by 50%. Find the final number.
If f(x) = 12 - x^2/2 and f(2k) = 5k, what is one possible value for k?
A card is drawn from a pack of 52 cards the probability of getting queen of club or aking of a heart?
A reduction of 40% in the price of oil enables a house wife to obtain 8 kgs more for Rs.2400, what is the reduced price for kg?
Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1200. What is the gain or loss in percentage?
I. x + 2y + 3z = 2 II. x + y - z = 0 III. 2x + 2y - z = 1 What is the value of y in the system above?
Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 47 floors per minute. At the same time Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 53 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be:
For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 231 books with me to gift her. Can you calculate, on which day is our anniversary?
After M students took a test, the average score was 56%. 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 60%?
A company has two models of computers, model X and model Y. Operating at a constant rate, a model X computer can complete a certain task in 72 minutes and a model Y computer can complete the same task in 36 minutes. If the company used the same number of each model of computer to complete the task in 1 minute, how many model X computers were used?
Laura has a deck of standard playing cards with 13 of the 52 cards designated as a "heart." If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?
Find the area of the sector whose are is making an angle of 90° at the center of a circle of radius 3.2 Cm.
If P = Q-R, -1 < R < 0 and Q=0, which of the following is correct?
Approximately what percentage of the world’s forested area is represented by Finland given that Finland has 53.42 million hectares of forested land of the world’s 8.076 billion hectares of forested land.
Kim can walk 4 kilometers in one hour. How long does it take Kim to walk 18 kilometers?
If y = 2 + 2K and y≠0y≠0, then 2/y + 1/y + 1/y + 1/y = ?
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
P, Q, R enter into a partnership. P initially invests 25 lakh and adds another 10 lakh after one year. Q initially invests 35 lakh and withdraws 10 lakh after 2 years. R's investment is Rs 30 lakh. In what ratio should the profit be divided at the end of 3 years?
The sale price of a trolley bag including the sale tax is Rs. 1232. The rate of sale tax is 10% . If the shopkeeper has made a profit of 12%, the cost price of the trolley bag is:
Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was ?
Suppose we have six marbles: 3 blue marbles, 2 red marbles, and one green marble. Suppose we are going to put them into three cups: a grey cup, a white cup, and a purple cup. We could put all six in any cup and leave two cups empty; or we could put marbles in two cups and leave one cup empty; or we could put some marbles in each of the three cups. How many combinations are possible?
The diameter of two circles are 18 cm and 8 cm. The distance between their centres is 13 cm. What is the number of common tangents?
It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
A train running at the speed of 60 km/hr crosses a pole in 6 seconds. What is the length of the train?
Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 10 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required?
If after successive discounts of 20% and 25/4% on the marked price of an article, a trader gets 20% profit on the cost price,then by what percent is the marked price above the cost price?
4/9 × 6/3 + 11/27 – 18/81 = ?
When 30 is divided by the positive integer k, the remainder is 6, for how many different values of k is this true?
A letter lock consists of three rings each marked with eight different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
What least value should be replaced by * in 223*431 so the number become divisible by 9
In a group of 5 boys and 5 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included?
What is the sum of the integers from -194 to 195 inclusive?
If a man buys 10 lollipops for $80 and sold them for $2 dollars determine his loss.
What is the tens' digit R of the sum of the first 40 terms of 1, 11, 111, 1111, 11111, 111111, ...?
On flipping 3 coins together what is the outcomes for at least two tails?
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
If the operation ∆ is defined by a ∆ b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, then what is the result when we evaluate this expression: (-6) ∆ (6 ∆ −6) ?
The average of five results is 46 and that of the first four is 35. The fifth result is?
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of r square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
The ratio of men to women in the Snyder community choir is 4 to 7. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of; 6 – 9 + 8 × 3 ÷ 25 =
The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
In store A there are 10 pairs of pants for every 50 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
The area of one square is x^2 + 6x + 9 and the area of another square is 4x^2 − 20x + 25. If the sum of the perimeters of both squares is 52, what is the value of x?
If n is a positive integer and n^2 is divisible by 72, then the largest positive integer V that must divide n is?
Find the value of x in 5(x+4)=25
When positive integer D is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when D is divided by B?
Jancy invested an amount of Rs. 9,000 at the rate of 10% p.a simple interest and another amount at the rate of 15% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
How many different eight letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?
Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following R must be true? I. At least 50% of the numbers in Z are smaller than the median. II. Less than 50% of the numbers in Z are greater than the median. III. The median of Z is greater than the average of the largest and smallest numbers in Z.
Tom, working alone, can paint a room in 8 hours. Peter and John, working independently, can paint the same room in 4 hours and 2 hours, respectively. Tom starts painting the room and works on his own for two hour. He is then joined by Peter and they work together for two hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
1600 men have provisions for 28 days in the temple. If after 4 days, 400 men leave the temple, how long will the food last now?
Calculate the largest 3 digit number which is exactly divisible by 89?
If a, b are integers and \|a-b\|=12, which of the following is the smallest possible value of ab?
Find the sum of first 80 odd numbers
Robert is travelling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.?
Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a club and other in King
Find the constant k so that : -x2 - (k + 10)x - 8 = -(x - 2)(x - 4)
Multiply: (x – 4)(x + 5)
A computer store originally bought 1,000 modems at a total cost of d dollars. If each modem was sold for 25 percent more than its original cost, what was the individual price, in terms of d, of each modem sold?
John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 4 minutes?
In a 100 metre race, A can allow B to start the race either 10 metres ahead of the starting point or 2 seconds before A so that both reach the finishing line at the same time. What is the speed of B in m/sec and how long will A take to run 100 m?
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 21 months?
In 1986 the book value of a certain car was 2/3 of the original price, and in 1988 its book value was 1/2 of the original purchase price. By what percent did the book value for this car decrease from 1986 to 1988?
What will be the cost of house to decorate which area equal to 324 sq ft, if the price per foot of building is Rs. 10?
In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same starting point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 54, what is the total amount?
Two pipes A and B can fill a cistern in 15 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
A can do a job in 18 days and B can do it in 30 days. In how many days will they finish it together?
A specialized type of sand consists of 40% mineral X by volume and 60% mineral Y by volume. If mineral X weighs 4 grams per cubic centimeter and mineral Y weighs 3 grams per cubic centimeter, how many grams does a cubic meter of specialized sand combination weigh? (1 meter = 100 centimeters)
In the fifth grade at Parkway elementary school there are 470 students. 300 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Two negative numbers are multiplied to give a product of 48. If the lesser number is 10 less than thrice the greater number, what is the greater number?
A and B invests Rs.2500 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
A number is said to be prime saturated if the product of all the different positive prime factors of e is less than the square root of e. What is the greatest two digit prime saturated integer ?

A painting crew painted 80 houses. They painted the first y houses at a rate of x houses per week. Then more painters arrived and everyone worked together to paint the remaining houses at a rate of 4.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?

A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?

A box contains 100 balls, numbered from 1 to 100. If 3 balls are selected at random and with replacement from the box. If the 3 numbers on the balls selected contain two odd and one even. What is the probability Z that the first ball picked up is odd numbered?

Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If they are 60 km apart both 3 and 6 hours after start, then find the distance between the two stations.

A boat can travel with a speed of 25km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 90km downstream.

An incredible punch is composed of mango, orange juice, and milk. How many pints of orange juice are required to make 9 gallons of punch containing twice as much mango as orange juice and three times as much orange juice as milk? (1 Gallon = 8 Pints )

If a man can cover 12 metres in 0ne second, how many kilometres can he cover in 3 hours 45 minutes?

John has on his shelf four books of poetry, two novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?

Ajay can ride 50km in 1 hour. In how many hours he can ride 900km?

A window 2 inches wide is placed on the back of a rectangular painted area with dimensions 8 inches by 12 inches. What is the area of the window, in square inches?

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:

X and Y invest Rs.12500 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?

The sum of the first 50 positive even integers is 2550. What is the sum of the even integers from 302 to 400 inclusive?

If Janice was 24 years old z years ago and Lisa will be 22 years old in p years, what was the average (arithmetic mean) of their ages 6 years ago?

A train 225 m long passes a man, running at 10km/hr in the same direction in which the train is going, in10 seconds. The speed of the train is:

A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 4 different offices?

If Janice was 22 years old z years ago and Lisa will be 20 years old in p years, what was the average (arithmetic mean) of their ages 7 years ago?

It takes John exactly 30 minutes to rake a lawn and it takes his son Todd exactly 60 minutes to rake the same lawn. If John and Todd decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them to rake the lawn

The price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980. If its price of $2.00 in 1970 was 150 percent of its price in 1960, what was its price in 1980?

What will come in place of the x in the following Number series? 12, 38, 116, 350, x

Machine A and machine G are each used to manufacture 660 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine G. Machine G produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?

350 is increased by 50%. Find the final number.

If f(x) = 12 - x^2/2 and f(2k) = 5k, what is one possible value for k?

A card is drawn from a pack of 52 cards the probability of getting queen of club or aking of a heart?

A reduction of 40% in the price of oil enables a house wife to obtain 8 kgs more for Rs.2400, what is the reduced price for kg?

Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1200. What is the gain or loss in percentage?

I. x + 2y + 3z = 2 II. x + y - z = 0 III. 2x + 2y - z = 1 What is the value of y in the system above?

Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 47 floors per minute. At the same time Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 53 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?

A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be:

For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 231 books with me to gift her. Can you calculate, on which day is our anniversary?

After M students took a test, the average score was 56%. 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 60%?

A company has two models of computers, model X and model Y. Operating at a constant rate, a model X computer can complete a certain task in 72 minutes and a model Y computer can complete the same task in 36 minutes. If the company used the same number of each model of computer to complete the task in 1 minute, how many model X computers were used?

Laura has a deck of standard playing cards with 13 of the 52 cards designated as a "heart." If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?

Find the area of the sector whose are is making an angle of 90° at the center of a circle of radius 3.2 Cm.

If P = Q-R, -1 < R < 0 and Q=0, which of the following is correct?

Approximately what percentage of the world’s forested area is represented by Finland given that Finland has 53.42 million hectares of forested land of the world’s 8.076 billion hectares of forested land.

Kim can walk 4 kilometers in one hour. How long does it take Kim to walk 18 kilometers?

If y = 2 + 2K and y≠0y≠0, then 2/y + 1/y + 1/y + 1/y = ?

Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?

P, Q, R enter into a partnership. P initially invests 25 lakh and adds another 10 lakh after one year. Q initially invests 35 lakh and withdraws 10 lakh after 2 years. R's investment is Rs 30 lakh. In what ratio should the profit be divided at the end of 3 years?

The sale price of a trolley bag including the sale tax is Rs. 1232. The rate of sale tax is 10% . If the shopkeeper has made a profit of 12%, the cost price of the trolley bag is:

Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was ?

Suppose we have six marbles: 3 blue marbles, 2 red marbles, and one green marble. Suppose we are going to put them into three cups: a grey cup, a white cup, and a purple cup. We could put all six in any cup and leave two cups empty; or we could put marbles in two cups and leave one cup empty; or we could put some marbles in each of the three cups. How many combinations are possible?

The diameter of two circles are 18 cm and 8 cm. The distance between their centres is 13 cm. What is the number of common tangents?

It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?

The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?

A train running at the speed of 60 km/hr crosses a pole in 6 seconds. What is the length of the train?

Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 10 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required?

If after successive discounts of 20% and 25/4% on the marked price of an article, a trader gets 20% profit on the cost price,then by what percent is the marked price above the cost price?

4/9 × 6/3 + 11/27 – 18/81 = ?

When 30 is divided by the positive integer k, the remainder is 6, for how many different values of k is this true?

A letter lock consists of three rings each marked with eight different letters. The number of distinct unsuccessful attempts to open the lock is at the most?

What least value should be replaced by * in 223*431 so the number become divisible by 9

In a group of 5 boys and 5 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included?

What is the sum of the integers from -194 to 195 inclusive?

If a man buys 10 lollipops for $80 and sold them for $2 dollars determine his loss.

What is the tens' digit R of the sum of the first 40 terms of 1, 11, 111, 1111, 11111, 111111, ...?

On flipping 3 coins together what is the outcomes for at least two tails?

A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?

If the operation ∆ is defined by a ∆ b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, then what is the result when we evaluate this expression: (-6) ∆ (6 ∆ −6) ?

The average of five results is 46 and that of the first four is 35. The fifth result is?

Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:

A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of r square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)

The ratio of men to women in the Snyder community choir is 4 to 7. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?

The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?

If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of; 6 – 9 + 8 × 3 ÷ 25 =

The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?

In store A there are 10 pairs of pants for every 50 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?

The area of one square is x^2 + 6x + 9 and the area of another square is 4x^2 − 20x + 25. If the sum of the perimeters of both squares is 52, what is the value of x?

If n is a positive integer and n^2 is divisible by 72, then the largest positive integer V that must divide n is?

Find the value of x in 5(x+4)=25

When positive integer D is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when D is divided by B?

Jancy invested an amount of Rs. 9,000 at the rate of 10% p.a simple interest and another amount at the rate of 15% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?

How many different eight letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?

Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following R must be true? I. At least 50% of the numbers in Z are smaller than the median. II. Less than 50% of the numbers in Z are greater than the median. III. The median of Z is greater than the average of the largest and smallest numbers in Z.

Tom, working alone, can paint a room in 8 hours. Peter and John, working independently, can paint the same room in 4 hours and 2 hours, respectively. Tom starts painting the room and works on his own for two hour. He is then joined by Peter and they work together for two hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?

1600 men have provisions for 28 days in the temple. If after 4 days, 400 men leave the temple, how long will the food last now?

Calculate the largest 3 digit number which is exactly divisible by 89?

If a, b are integers and |a-b|=12, which of the following is the smallest possible value of ab?

Find the sum of first 80 odd numbers

Robert is travelling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.?

Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a club and other in King

Find the constant k so that : -x2 - (k + 10)x - 8 = -(x - 2)(x - 4)

Multiply: (x – 4)(x + 5)

A computer store originally bought 1,000 modems at a total cost of d dollars. If each modem was sold for 25 percent more than its original cost, what was the individual price, in terms of d, of each modem sold?

John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 4 minutes?

In a 100 metre race, A can allow B to start the race either 10 metres ahead of the starting point or 2 seconds before A so that both reach the finishing line at the same time. What is the speed of B in m/sec and how long will A take to run 100 m?

A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 21 months?

In 1986 the book value of a certain car was 2/3 of the original price, and in 1988 its book value was 1/2 of the original purchase price. By what percent did the book value for this car decrease from 1986 to 1988?

What will be the cost of house to decorate which area equal to 324 sq ft, if the price per foot of building is Rs. 10?

In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same starting point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?

A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 54, what is the total amount?

Two pipes A and B can fill a cistern in 15 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?

A can do a job in 18 days and B can do it in 30 days. In how many days will they finish it together?

A specialized type of sand consists of 40% mineral X by volume and 60% mineral Y by volume. If mineral X weighs 4 grams per cubic centimeter and mineral Y weighs 3 grams per cubic centimeter, how many grams does a cubic meter of specialized sand combination weigh? (1 meter = 100 centimeters)

In the fifth grade at Parkway elementary school there are 470 students. 300 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?

Two negative numbers are multiplied to give a product of 48. If the lesser number is 10 less than thrice the greater number, what is the greater number?

A and B invests Rs.2500 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?

A number is said to be prime saturated if the product of all the different positive prime factors of e is less than the square root of e. What is the greatest two digit prime saturated integer ?