dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
If p and q are the roots of the equation x2 - bx + c = 0, what is the equation if the roots are (pq + p + q) and (pq - p - q)?
An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 2/3 %, then the amount invested in each share was?
The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 2: 00 p.m., at what time were there 32 million bacteria in the dish?
If a and b are positive integers and x = 9^a and y = 5^b, which of the following is a possible units digit of xy?
If n is a prime number greater than 3, what is the remainder when n^2 is divided by 11?
A train,130 metres long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. What is the length of the bridge?
Mike is 50% less efficient than Alice. How much time will they, working together, take to complete a job which Alice alone could have done in 15 days?
A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 11 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
In a race with 30 runners where 5 trophies will be given to the top 7 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 40 kg of fresh grapes?
A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?
How many integers C are prime numbers in the range 200 < C < 220?
In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of
The product of the ages of Syam and Sunil is 240. If twice the age of Sunil is more than Syam's age by 4 years, what is Sunil's age?
The edge of a cube is 6a cm. Find its surface?
252 can be expressed as a product of primes as:
If x > 0, x/5 + x/25 is what percent of x?
One card is drawn from a pack of 52 cards. What is the probability that the card drawn is a queen of club or a king of heart?
In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons?
Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 34 years. What is Molly's age right now?
What is the length of the longest pole which can be kept in a room 12 m long, 5 m broad and 3 m high?
an article with cost price of 245 is sold at 34% profit. what is the selling price?
For any positive integer n, the sum of the first n positive integers equals [n(n+1)]/2. What is the sum of all the even integers between 99 and 181?
Find the roots of the quadratic equation: x2 + 2x - 15 = 0?
What is the probability of creating a three digit number with exactly two consecutive primes as digits?
Which of the following is not a perfect square of an integer?
A man has Rs. 560 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
How many multiples of 3 are there between 81 and 358?
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Population is 21000. Population increases by 10% every year, then the population after 3 years is?
If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 150 pounds. What is Leo's current weight?
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
A rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered.If the area of the field is 600 sq.ft, how many feet of fencing will be required ?
Beth received 1/10 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:
A jar contains 12 marbles consisting of an equal number of red, green, and blue marbles. Three marbles are removed from the jar and discarded. What is the probability that only two colors will remain in the jar after the Three marbles have been removed?
x and y are integers. x + y < 11 , and x > 6. What is the smallest possible value of x - y ?
The product of two numbers is 120 and the sum of their squares is 289. Find the sum?
In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 7 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump?
Each of the three people individually can complete a certain job in 3, 5, and 6 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?
Machine–A produces 40% of the total output and Machine-B produces 60% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 300 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?
Find large number from below question The difference of two numbers is 1515. On dividing the larger number by the smaller, we get 16 as quotient and the 15 as remainder
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Bob invested one half of his savings in a bond that paid simple interest for 2 years and received $450 as interest. He invested the remaining in a bond that paid compound interest (compounded annually) for the same 2 years at the same rate of interest and received $605 as interest. What was the annual rate of interest?
Suppose 8 monkeys take 8 minutes to eat 8 bananas. How many monkeys would it take to eat 48 bananas in 48 minutes
How many odd 4-digit positive integers E that are multiples of 5 can be formed without using the digit 3?
The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is
A person buys an article at Rs.460. At what price should he sell the article so as to make a profit of 18%?
The number of boxes in a warehouse can be divided evenly into 12 equal shipments by boat or 32 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
If P(A) = 3/5 and P (B) = 2/5, find P (A n B) if A and B are independent events.
Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $580 (before payroll deductions)?
By the how much is two-fifth of 200 greater than three -fifths of 125?
The respective heights and volumes of a hemisphere and a right circular cylinder are equal, then the ratio of their radii is :
Find the odd man out. 187, 264, 386, 473, 682, 781
The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 16. What is the middle number?
The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?
On a wedding catering service, An experienced chef can prepare a service for a wedding in 12 hours while an novice chef would finish the preparations in 24 hours. If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?
If 11 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
A reduction of 22% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Source: Knewton A cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 13.0 miles per hour, inclusive. What is the maximum distance, in miles, that the cyclist could travel in 7 hours?
On a certain transatlantic crossing, 30 percent of a ship's passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round-trip tickets?
There are 400 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.
If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the shorter sides?
Two trains travelling in the same direction at 50 and 40 kmph completely pass off another in 1 1/2 minute. If the length of the first train is 125 m, what is the length of the second train?
The function f is defined by subtracting 25 from the square of a number and the function s is defined as the square root of one-half of a number. If s(f(x))=10, then which of the following is a possible value of x?
A train 150 m long is running with a apecd of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?
If 30% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class?
A rectangular tiled patio is composed of 96 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 96 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
If M is the least common multiple of 90,196, and 300, which of the following is NOT a factor of M?
A sum of Rs.66000 is divided into three parts such that the simple interests accrued on them for six, two and eleven years respectively may be equal. Find the amount deposited for 11 years.
A watch was sold at a loss of 10%. If the watch was sold for $12 more, there would have been a gain of 6%. What is the cost price?
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
If (x+2) is the HCF of x2 + ax + b and x2 + cx + d , then which one of the following is correct ?
Which of the following is equal to the value of 2^4 + 2^4 + 3^4 + 3^4 + 3^4 ?
9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 6 miles per hour while the second runner jogs due east at a constant rate that is 2 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after 1/2 hour ?
In store A there are 10 pairs of pants for every 30 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?
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
In feb Mrs Bil's earnings were 70 percent of the Bil family's total income. In June Mrs Bil earned 10 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Bil's earnings were approximately what percent of the Bil family's total income ?
Kurt, a French painter, has 9 jars of paint: 4 jars of yellow paint, 2 jars of red paint, and 3 jars of brown paint. Kurt pours the contents of 3 jars of paint into a new container to make a new color, which he will name according to the following conditions: The paint will be namedBrun Yif it contains 2 jars of brown paint and no yellow. The paint will be namedBrun Xif the paint contains 3 jars of brown paint. The paint will be namedJaune Xif the paint contains at least 2 jars of yellow. The paint will be namedJaune Yif the paint contains exactly 1 jar of yellow. What is the probability M that the new color will be one of theJaunecolors?
Tough and Tricky questions: Word Problems. If Bill's salary increased by 16 percent, he would earn $812 per month. If instead, his salary were to increase by only 10 percent, how much money T would he earn per month?
The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 28 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
When a positive integer A is divided by 7 and 3, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 7 and 3, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?
A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
Of all the homes on Gotham Street, 2/3 are termite-ridden, and 2/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
How many different four letter words can be formed (the words need not be meaningful) using the letters of the word MEDQTERRANEAN such that the first letter is E and the last letter is R?
A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 160 square feet and its length is 6 feet longer than its width. If the uniform width between the rug and room is 6 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?
If the total income of a state increases by 50% and the population of the state increases by 20%, What is the percent change in per capita income for the state?
In a box of 10 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
If a young child was 15 months old one year ago, how old was the child, in months, x months ago?
How many positive factors do 180 and 90 have in common?
A car is purchased on hire-purchase. The cash price is $22 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment?
A motor cyclist participant of a race says "We drove with the speed of 10 miles an hour one way, but while returning because of less traffic we drove on the same route with 15 miles per hour." What was their average speed in the whole journey?
Yesterday it took Robert 4 hours to drive from City A to City B. Today it took Robert 2.5 hours to drive back from City В to City A along the same route. If he had saved 15 minutes in both trips, the speed for the round trip would be 70 miles per hour. What is the distance between city A and city B?
A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
A sum amounts to Rs.5292 in 2 years at the rate of 5% p.a. If interest was compounded yearly then what was the principal?
In a certain country 1/5 of 8 = 4. Assuming the same proportion, what would be the value of 1/4of 16 ?

Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?

If p and q are the roots of the equation x2 - bx + c = 0, what is the equation if the roots are (pq + p + q) and (pq - p - q)?

An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 2/3 %, then the amount invested in each share was?

The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 2: 00 p.m., at what time were there 32 million bacteria in the dish?

If a and b are positive integers and x = 9^a and y = 5^b, which of the following is a possible units digit of xy?

If n is a prime number greater than 3, what is the remainder when n^2 is divided by 11?

A train,130 metres long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. What is the length of the bridge?

Mike is 50% less efficient than Alice. How much time will they, working together, take to complete a job which Alice alone could have done in 15 days?

A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 11 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?

A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?

In a race with 30 runners where 5 trophies will be given to the top 7 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?

Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 40 kg of fresh grapes?

A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?

How many integers C are prime numbers in the range 200 < C < 220?

In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of

The product of the ages of Syam and Sunil is 240. If twice the age of Sunil is more than Syam's age by 4 years, what is Sunil's age?

The edge of a cube is 6a cm. Find its surface?

252 can be expressed as a product of primes as:

If x > 0, x/5 + x/25 is what percent of x?

One card is drawn from a pack of 52 cards. What is the probability that the card drawn is a queen of club or a king of heart?

In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons?

Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 34 years. What is Molly's age right now?

What is the length of the longest pole which can be kept in a room 12 m long, 5 m broad and 3 m high?

an article with cost price of 245 is sold at 34% profit. what is the selling price?

For any positive integer n, the sum of the first n positive integers equals [n(n+1)]/2. What is the sum of all the even integers between 99 and 181?

Find the roots of the quadratic equation: x2 + 2x - 15 = 0?

What is the probability of creating a three digit number with exactly two consecutive primes as digits?

Which of the following is not a perfect square of an integer?

A man has Rs. 560 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?

Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?

How many multiples of 3 are there between 81 and 358?

At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?

Population is 21000. Population increases by 10% every year, then the population after 3 years is?

If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 150 pounds. What is Leo's current weight?

A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?

A rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered.If the area of the field is 600 sq.ft, how many feet of fencing will be required ?

Beth received 1/10 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?

Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

A jar contains 12 marbles consisting of an equal number of red, green, and blue marbles. Three marbles are removed from the jar and discarded. What is the probability that only two colors will remain in the jar after the Three marbles have been removed?

x and y are integers. x + y < 11 , and x > 6. What is the smallest possible value of x - y ?

The product of two numbers is 120 and the sum of their squares is 289. Find the sum?

In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 7 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump?

Each of the three people individually can complete a certain job in 3, 5, and 6 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?

Machine–A produces 40% of the total output and Machine-B produces 60% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 300 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?

Find large number from below question The difference of two numbers is 1515. On dividing the larger number by the smaller, we get 16 as quotient and the 15 as remainder

A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?

Bob invested one half of his savings in a bond that paid simple interest for 2 years and received $450 as interest. He invested the remaining in a bond that paid compound interest (compounded annually) for the same 2 years at the same rate of interest and received $605 as interest. What was the annual rate of interest?

Suppose 8 monkeys take 8 minutes to eat 8 bananas. How many monkeys would it take to eat 48 bananas in 48 minutes

How many odd 4-digit positive integers E that are multiples of 5 can be formed without using the digit 3?

The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is

A person buys an article at Rs.460. At what price should he sell the article so as to make a profit of 18%?

The number of boxes in a warehouse can be divided evenly into 12 equal shipments by boat or 32 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?

If P(A) = 3/5 and P (B) = 2/5, find P (A n B) if A and B are independent events.

Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $580 (before payroll deductions)?

By the how much is two-fifth of 200 greater than three -fifths of 125?

The respective heights and volumes of a hemisphere and a right circular cylinder are equal, then the ratio of their radii is :

Find the odd man out. 187, 264, 386, 473, 682, 781

The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 16. What is the middle number?

The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?

On a wedding catering service, An experienced chef can prepare a service for a wedding in 12 hours while an novice chef would finish the preparations in 24 hours. If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?

If 11 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?

A reduction of 22% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?

Source: Knewton A cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 13.0 miles per hour, inclusive. What is the maximum distance, in miles, that the cyclist could travel in 7 hours?

On a certain transatlantic crossing, 30 percent of a ship's passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round-trip tickets?

There are 400 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.

If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the shorter sides?

Two trains travelling in the same direction at 50 and 40 kmph completely pass off another in 1 1/2 minute. If the length of the first train is 125 m, what is the length of the second train?

The function f is defined by subtracting 25 from the square of a number and the function s is defined as the square root of one-half of a number. If s(f(x))=10, then which of the following is a possible value of x?

A train 150 m long is running with a apecd of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?

If 30% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class?

A rectangular tiled patio is composed of 96 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 96 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?

If M is the least common multiple of 90,196, and 300, which of the following is NOT a factor of M?

A sum of Rs.66000 is divided into three parts such that the simple interests accrued on them for six, two and eleven years respectively may be equal. Find the amount deposited for 11 years.

A watch was sold at a loss of 10%. If the watch was sold for $12 more, there would have been a gain of 6%. What is the cost price?

The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?

If (x+2) is the HCF of x2 + ax + b and x2 + cx + d , then which one of the following is correct ?

Which of the following is equal to the value of 2^4 + 2^4 + 3^4 + 3^4 + 3^4 ?

9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 6 miles per hour while the second runner jogs due east at a constant rate that is 2 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after 1/2 hour ?

In store A there are 10 pairs of pants for every 30 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?

A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:

In feb Mrs Bil's earnings were 70 percent of the Bil family's total income. In June Mrs Bil earned 10 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Bil's earnings were approximately what percent of the Bil family's total income ?

Kurt, a French painter, has 9 jars of paint: 4 jars of yellow paint, 2 jars of red paint, and 3 jars of brown paint. Kurt pours the contents of 3 jars of paint into a new container to make a new color, which he will name according to the following conditions: The paint will be namedBrun Yif it contains 2 jars of brown paint and no yellow. The paint will be namedBrun Xif the paint contains 3 jars of brown paint. The paint will be namedJaune Xif the paint contains at least 2 jars of yellow. The paint will be namedJaune Yif the paint contains exactly 1 jar of yellow. What is the probability M that the new color will be one of theJaunecolors?

Tough and Tricky questions: Word Problems. If Bill's salary increased by 16 percent, he would earn $812 per month. If instead, his salary were to increase by only 10 percent, how much money T would he earn per month?

The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 28 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?

A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is

When a positive integer A is divided by 7 and 3, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 7 and 3, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?

A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.

Of all the homes on Gotham Street, 2/3 are termite-ridden, and 2/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?

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

A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 160 square feet and its length is 6 feet longer than its width. If the uniform width between the rug and room is 6 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?

If the total income of a state increases by 50% and the population of the state increases by 20%, What is the percent change in per capita income for the state?

In a box of 10 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?

If a young child was 15 months old one year ago, how old was the child, in months, x months ago?

How many positive factors do 180 and 90 have in common?

A car is purchased on hire-purchase. The cash price is $22 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment?

A motor cyclist participant of a race says "We drove with the speed of 10 miles an hour one way, but while returning because of less traffic we drove on the same route with 15 miles per hour." What was their average speed in the whole journey?

Yesterday it took Robert 4 hours to drive from City A to City B. Today it took Robert 2.5 hours to drive back from City В to City A along the same route. If he had saved 15 minutes in both trips, the speed for the round trip would be 70 miles per hour. What is the distance between city A and city B?

A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?

A sum amounts to Rs.5292 in 2 years at the rate of 5% p.a. If interest was compounded yearly then what was the principal?

In a certain country 1/5 of 8 = 4. Assuming the same proportion, what would be the value of 1/4of 16 ?