dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
10 solid colored balls in a box, including 1 Green and 1 Yellow. If 3 of the balls in the box are chosen at random, without replacement, what is the probability that the 3 balls chosen will include the Green ball but not the yellow ball.
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
A 1.5 by 2 rectangle is inscribed in circle. What is the circumference of the circle?
A man takes 5hr 45min in walking to certain place and riding back. He would have gained 2hrs by riding both ways. The time he would take to walk both ways is?
A man covered a certain distance at some speed. If he had moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. What is the distance in km?
The purchase price of an article is $48. In order to include 30% of cost for overhead and to provide $12 of net profit, the markup should be
A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 10%. What was its profit on the items sold in February?
A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.30 a.m.?
George's drawer has 10 loose black socks, 15 loose blue socks, and 8 loose white socks. If George takes socks out of the drawer at random, how many would he need to take out to be sure that he had at least two matching pairs of socks in two different colors?
If q<0, which of the following must be true?
How many days will there be from 26th January,1996 to 15th May,1996(both days included)?
The greatest possible length which can be used to measure exactly the length 10m, 10m 80cm, 10 m 90 cm is
In an elaction between two candidates, 10% of votes are were declares invalid. First candidate got 1800 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was?
Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,600 at the end of nine years, how much money did he borrow?
A fair sided dice labeled 1 to 6 is tossed 2 times. What is the probability the sum of the 2 throws is 5?
A car traveled 75% of the way from Town A to Town B at an average speed of 75 mph. The car traveled at an average speed of v mph for the remaining part of the trip. The average speed for the entire trip was 50 mph. What is v in mph?
A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 45% have red flags, what percentage of children have flags of both the colors?
A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/5 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
An inspector rejects 0.08% of the meters as defective. How many will be examine to project ?
In a division, divident is 686, divisior is 36 and quotient is 19. Find the remainder.
When x + p is divided by p , the quotient is n and there is no remainder. Which of the following must be the value of x?
John buys 100 shares of par value Rs. 10 each, of a company, which pays an annual dividend of 12% at such a price that he gets 10% on his investment. Find the market value of a share.
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Two numbers are in the ratio of 2:3 . if 4 is added in both numbers the ratio becomes 5:7. Find the difference between numbers.
Calculate the time it will take for a full tank of water to become completely empty due to a leak given that the tank could be filled in 10 hours, but due to the leak in its bottom it takes 11 hours to be filled ?
The cost price of an article is Rs. 100. To gain 50% after allowing a 50% discount, the market price of the article is :
Arun has certain number of books. It is not less than 15 and not more than 30. If he wants to give these books equally to 2 of his friends, then 1 book will remain. If he wants to give these books equally to 3 of his friends, then 2 books will remain. If he wants to give these books equally to 4 of his friends, then 3 books will remain. What is the number of books he had?
Out of 15 students in a class, 7 are from Maharashtra, 5 are from Karnataka, and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
The product of the squares of two positive integers is 400. How many pairs of positive integers satisfy this condition?
(1/32)+(1/33)+……+(1/62)+(1/63) is including in which of the following ranges?
The average of 11 numbers is 50. If the average of first 6 numbers is 49 and that of last 6 is 52.Find the 6th number.
The length of a rectangle is 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?
A circular logo is enlarged to fit the lid of a jar. The new diameter is 60 per cent larger than the original. By what percentage has the area of the logo increased?
At a dinner party 6 people are to be seated around a circular table. Two sitting arrangements are considered different only when the positions of the people are different relative to each other.What is the total number of possible sitting arrangements or the group?
If x, y, and z are all factors of 45, which of the following must be true?
Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 60 percent on clothing, 20 percent on food, and 20 percent on other items. If Jill paid a 10 percent tax on the clothing, no tax on the food, and an 10 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
A,B,C invested the capitals in a business. If A invested Rs. 10,000 more than B and C invested Rs.20,000 more than A, then how should a profit of Rs.14,000 be divided among A,B and C? Given : Capital of B is Rs.10,000
he time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
In May, Xiang sold 15 used cars. For these 15 cars, the range of the selling price was $15,000 and the lowest selling price was $4,500. In June, Xiang sold 10 used cars. For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $6,300. What was the range of the selling prices of the 25 used cars sold by Xiang in May and June?
Find the missing figures : ?% of 40 = 2.125
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
The average weight of 60 men sitting in a plane had some value. A new person added to them whose weight was 100 kg only. Due to his arrival, the average weight of all the men decreased by 20 kg. Find the average weight of first 25 men?
A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum?
If x < y < z and y-x > 9, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?
A company decreased the price of its main product by 75%. Subsequently, the number of units sold increased such that the total revenue remained unchanged. What was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product?
A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Rs.6490 is divided so that 4 times the first share, six times the 2nd share and twice the third share amount to the same. What is the value of the first share?
A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?
There are 10 books on a shelf: 4 English books, 3 Spanish books and 2 Portuguese books. What is the probability of choosing 2 books in different languages?
Find the number of trailing zeros in the expansion of (20!21!22! ……… *33!)^3!.
A train covers a distance of 12 km in 10 min. If it takes 1 sec to pass a telegraph post, then the length of the train is?
A shepherd had n goats in the year 2000. In 2001 the no. of goats increased by 40%. In 2002 the no. of goats declined to 70%. In 2003 the no. of goats grew up 30%. In 2004, he sold 10% goats and then he had only 34,398 goats. The percentage increase of the no. of goats in this duration was :
If y exceeds x by 25%, then x is less than y by?
There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?
The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
The simple interest on a certain sum of money for 2 l/2 years at 12% per annum is Rs. 40 less tban the simple interest on the same sum for 3 ½ years at 10% per annum. Find the sum.
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then
Three houses of the same type were advertised to be let in a locality. Two men made separate applications for a house. What is the probability that each of them applied for the same house.
If 10% of 30% of 50% of a number is 90, then what is the number?
The percentage profit earned by selling an article for $1920 is equal to the percentage loss incurred by selling the same article for $1280. At what price should the article be sold to make 25% profit?
A chemical lab is scheduled to go through two air ventilation systems, a basic system and a more advanced system that takes half an hour and 1.5 hours respectively to fully ventilate the room. If both ventilation systems were to operate at the same time with their respective constant rates, how many hours would it take to fully ventilate the chemical lab?
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
There is 60% increase in an amount in 6years at SI. What will be the CI of Rs. 15,000 after 3 years at the same rate?
Henry earns $120 a week from his job. His income increased and now makes $180 a week. What is the percent increase?
There are 5 blue pillow covers, 3 white pillow covers, and 9 green pillow covers in the wardrobe. What is the least number of pillow covers that you have to take out to make sure that you will have a matching pair?
A 5-year investment note offers a 10% return on purchase, and a compounding 5% for each year after the first. If there is a $500 penalty for early redemption, and the note is redeemed for $6430 after the second year, what was the original purchase price?
x, y, a, and b are positive integers of S. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
The value of 51/4 * (125)0.25 is:
Before leaving for his business trip, Chad asks his assistant to choose and pack three shirts from his closet, which currently contains eight shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?
For which of the following does f(x)−f(y)=f(x−y) for all values of x and y?
In a group of 100 adults, 40 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?
A man, a woman and a boy can together complete a piece of work in 4 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?
A train is 410 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length
The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then what is the area of the park (in sq. m)?
The C.P of 17 books is equal to the S.P of 20 books. Find his gain% or loss%?
A store reported total sales of $400 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase in sales?
A person deposits 1/16 of his income as Provident Fund and 1/15 of the remaining as insurance premium. If he spends 5/7 of the balance on domestic needs and deposits an amount of Rs. 50 in the bank, his total income would be
Factor: 5x4y3 â€“ 80y3
Two dice are tossed. The probability that the total score is a prime number is
The average earning of amechanic for the first 4days of a week is Rs.32 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is?
The speed of a boat in still water in 37 km/hr and the rate of current is 13 km/hr. The distance travelled downstream in 10 minutes is:
A salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. If the sale price of each machine was $10,000 and the salesperson received a $40,000 commission, how many machines did she sell?
How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
For any real number x, the operatoris defined as: (x) = x(4 − x) If p + 1 =(p + 1), then p =
Yid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Yid have meant to type?
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the 1st and last places?
The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was
At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?
If u > 0, which of the following could be true? I. u^3 > u^2 II. u^2 = u III. u^2 > u^3
A can give B 300 meters start and C 600 meters start in a kilometer race. How much start can B give C in a kilometer race?
Let x and y be positive integers, and r and s be single-digit positive integers. If x/y = r.sss, where the bar below the s indicates that the decimal repeats infinitely, which of the following CANNOT be true
If n = 2.0254 and n* is the decimal obtained by rounding n to the nearest hundredth, what is the value of n* – n?
A collection of 20 coins, each with a face value of either 10 cents or 35 cents, has a total face value of $2.5. How many of the coins have a face value of 35 cents?

10 solid colored balls in a box, including 1 Green and 1 Yellow. If 3 of the balls in the box are chosen at random, without replacement, what is the probability that the 3 balls chosen will include the Green ball but not the yellow ball.

Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?

A 1.5 by 2 rectangle is inscribed in circle. What is the circumference of the circle?

A man takes 5hr 45min in walking to certain place and riding back. He would have gained 2hrs by riding both ways. The time he would take to walk both ways is?

A man covered a certain distance at some speed. If he had moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. What is the distance in km?

The purchase price of an article is $48. In order to include 30% of cost for overhead and to provide $12 of net profit, the markup should be

A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 10%. What was its profit on the items sold in February?

A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.30 a.m.?

George's drawer has 10 loose black socks, 15 loose blue socks, and 8 loose white socks. If George takes socks out of the drawer at random, how many would he need to take out to be sure that he had at least two matching pairs of socks in two different colors?

If q<0, which of the following must be true?

How many days will there be from 26th January,1996 to 15th May,1996(both days included)?

The greatest possible length which can be used to measure exactly the length 10m, 10m 80cm, 10 m 90 cm is

In an elaction between two candidates, 10% of votes are were declares invalid. First candidate got 1800 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was?

Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,600 at the end of nine years, how much money did he borrow?

A fair sided dice labeled 1 to 6 is tossed 2 times. What is the probability the sum of the 2 throws is 5?

A car traveled 75% of the way from Town A to Town B at an average speed of 75 mph. The car traveled at an average speed of v mph for the remaining part of the trip. The average speed for the entire trip was 50 mph. What is v in mph?

A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 45% have red flags, what percentage of children have flags of both the colors?

A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/5 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?

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

An inspector rejects 0.08% of the meters as defective. How many will be examine to project ?

In a division, divident is 686, divisior is 36 and quotient is 19. Find the remainder.

When x + p is divided by p , the quotient is n and there is no remainder. Which of the following must be the value of x?

John buys 100 shares of par value Rs. 10 each, of a company, which pays an annual dividend of 12% at such a price that he gets 10% on his investment. Find the market value of a share.

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:

Two numbers are in the ratio of 2:3 . if 4 is added in both numbers the ratio becomes 5:7. Find the difference between numbers.

Calculate the time it will take for a full tank of water to become completely empty due to a leak given that the tank could be filled in 10 hours, but due to the leak in its bottom it takes 11 hours to be filled ?

The cost price of an article is Rs. 100. To gain 50% after allowing a 50% discount, the market price of the article is :

Arun has certain number of books. It is not less than 15 and not more than 30. If he wants to give these books equally to 2 of his friends, then 1 book will remain. If he wants to give these books equally to 3 of his friends, then 2 books will remain. If he wants to give these books equally to 4 of his friends, then 3 books will remain. What is the number of books he had?

Out of 15 students in a class, 7 are from Maharashtra, 5 are from Karnataka, and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?

A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?

The product of the squares of two positive integers is 400. How many pairs of positive integers satisfy this condition?

(1/32)+(1/33)+……+(1/62)+(1/63) is including in which of the following ranges?

The average of 11 numbers is 50. If the average of first 6 numbers is 49 and that of last 6 is 52.Find the 6th number.

The length of a rectangle is 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?

A circular logo is enlarged to fit the lid of a jar. The new diameter is 60 per cent larger than the original. By what percentage has the area of the logo increased?

At a dinner party 6 people are to be seated around a circular table. Two sitting arrangements are considered different only when the positions of the people are different relative to each other.What is the total number of possible sitting arrangements or the group?

If x, y, and z are all factors of 45, which of the following must be true?

Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 60 percent on clothing, 20 percent on food, and 20 percent on other items. If Jill paid a 10 percent tax on the clothing, no tax on the food, and an 10 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?

There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

A,B,C invested the capitals in a business. If A invested Rs. 10,000 more than B and C invested Rs.20,000 more than A, then how should a profit of Rs.14,000 be divided among A,B and C? Given : Capital of B is Rs.10,000

he time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?

In May, Xiang sold 15 used cars. For these 15 cars, the range of the selling price was $15,000 and the lowest selling price was $4,500. In June, Xiang sold 10 used cars. For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $6,300. What was the range of the selling prices of the 25 used cars sold by Xiang in May and June?

Find the missing figures : ?% of 40 = 2.125

The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?

The average weight of 60 men sitting in a plane had some value. A new person added to them whose weight was 100 kg only. Due to his arrival, the average weight of all the men decreased by 20 kg. Find the average weight of first 25 men?

A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum?

If x < y < z and y-x > 9, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?

A company decreased the price of its main product by 75%. Subsequently, the number of units sold increased such that the total revenue remained unchanged. What was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product?

A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?

Rs.6490 is divided so that 4 times the first share, six times the 2nd share and twice the third share amount to the same. What is the value of the first share?

A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?

There are 10 books on a shelf: 4 English books, 3 Spanish books and 2 Portuguese books. What is the probability of choosing 2 books in different languages?

Find the number of trailing zeros in the expansion of (20!*21!*22! ……… *33!)^3!.

A train covers a distance of 12 km in 10 min. If it takes 1 sec to pass a telegraph post, then the length of the train is?

A shepherd had n goats in the year 2000. In 2001 the no. of goats increased by 40%. In 2002 the no. of goats declined to 70%. In 2003 the no. of goats grew up 30%. In 2004, he sold 10% goats and then he had only 34,398 goats. The percentage increase of the no. of goats in this duration was :

If y exceeds x by 25%, then x is less than y by?

There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?

The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?

How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?

The simple interest on a certain sum of money for 2 l/2 years at 12% per annum is Rs. 40 less tban the simple interest on the same sum for 3 ½ years at 10% per annum. Find the sum.

Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then

Three houses of the same type were advertised to be let in a locality. Two men made separate applications for a house. What is the probability that each of them applied for the same house.

If 10% of 30% of 50% of a number is 90, then what is the number?

The percentage profit earned by selling an article for $1920 is equal to the percentage loss incurred by selling the same article for $1280. At what price should the article be sold to make 25% profit?

A chemical lab is scheduled to go through two air ventilation systems, a basic system and a more advanced system that takes half an hour and 1.5 hours respectively to fully ventilate the room. If both ventilation systems were to operate at the same time with their respective constant rates, how many hours would it take to fully ventilate the chemical lab?

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

There is 60% increase in an amount in 6years at SI. What will be the CI of Rs. 15,000 after 3 years at the same rate?

Henry earns $120 a week from his job. His income increased and now makes $180 a week. What is the percent increase?

There are 5 blue pillow covers, 3 white pillow covers, and 9 green pillow covers in the wardrobe. What is the least number of pillow covers that you have to take out to make sure that you will have a matching pair?

A 5-year investment note offers a 10% return on purchase, and a compounding 5% for each year after the first. If there is a $500 penalty for early redemption, and the note is redeemed for $6430 after the second year, what was the original purchase price?

x, y, a, and b are positive integers of S. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?

The value of 51/4 * (125)0.25 is:

Before leaving for his business trip, Chad asks his assistant to choose and pack three shirts from his closet, which currently contains eight shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?

For which of the following does f(x)−f(y)=f(x−y) for all values of x and y?

In a group of 100 adults, 40 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?

A man, a woman and a boy can together complete a piece of work in 4 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?

A train is 410 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length

The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then what is the area of the park (in sq. m)?

The C.P of 17 books is equal to the S.P of 20 books. Find his gain% or loss%?

A store reported total sales of $400 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase in sales?

A person deposits 1/16 of his income as Provident Fund and 1/15 of the remaining as insurance premium. If he spends 5/7 of the balance on domestic needs and deposits an amount of Rs. 50 in the bank, his total income would be

Factor: 5x4y3 â€“ 80y3

Two dice are tossed. The probability that the total score is a prime number is

The average earning of amechanic for the first 4days of a week is Rs.32 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is?

The speed of a boat in still water in 37 km/hr and the rate of current is 13 km/hr. The distance travelled downstream in 10 minutes is:

A salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. If the sale price of each machine was $10,000 and the salesperson received a $40,000 commission, how many machines did she sell?

How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

For any real number x, the operatoris defined as: (x) = x(4 − x) If p + 1 =(p + 1), then p =

Yid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Yid have meant to type?

The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the 1st and last places?

The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was

At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?

The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?

If u > 0, which of the following could be true? I. u^3 > u^2 II. u^2 = u III. u^2 > u^3

A can give B 300 meters start and C 600 meters start in a kilometer race. How much start can B give C in a kilometer race?

Let x and y be positive integers, and r and s be single-digit positive integers. If x/y = r.sss, where the bar below the s indicates that the decimal repeats infinitely, which of the following CANNOT be true

If n = 2.0254 and n* is the decimal obtained by rounding n to the nearest hundredth, what is the value of n* – n?

A collection of 20 coins, each with a face value of either 10 cents or 35 cents, has a total face value of $2.5. How many of the coins have a face value of 35 cents?