dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
Find all positive integers n such that n^2 + 1 is divisible by n+ 1.
5 men are equal to as many women as are equal to 7 boys. All of them earn Rs.90 only. Men’s wages are?
The height of the wall is 6 times its width and length of the wall is 7 times its height .if the volume of the wall be 6804 cu.m.its width is
In a village, there are four tribes located at different distances from each other. Tribe R is 60 miles away from Tribe P; Tribe S 40 miles away from Tribe B and Tribe R is 10 miles nearer to the Tribe S than it is to Tribe Q. How far is the Tribe S located from the tribe P ?
A boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 168 km downstream.
In 1991, there are 28 days in February and there are 365 days in the year. In 1992, there are 29 days in February and there are 366 days in the year. If the date March 15, 1995 is a Tuesday, then which one of the following would the date March 15, 1996 be?
IF 20= W 21= W 22= W 23= W 24= W THEN 25=?
Look at this series: U32, V29, __, X23, Y20, ... What number should fill the blank?
If the length of the longest chord of a certain circle is 22, what is the radius of that certain circle?
What is the smallest number Y which when increased by 5 is completely divisible by 8, 11 and 24?
The average monthly salary of 25 employees in an organisation is Rs. 2500. If the manager's salary is added, then the average salary increases by Rs. 200. What is the manager's monthly salary?
Mary, Peter, and Lucy were picking chestnuts. Mary picked three times as much as much chestnuts than Peter. Lucy picked 4 kg more than Peter. Together the three of them picked 29 kg of chestnuts. How many kilograms of chestnuts did Mary, Peter, and Lucy pick respectively?
Each shelf of a bookcase contained 11 books. If the librarian took out 18 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 17 books, how many shelves does the bookcase have?
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 5 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?
Eight animals of a circus has to be placed inside in eight cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.
Sum of the squares of three numbers is 414 and the sum of their products taken two at a time is 131. Find the sum?
A certain animal shelter has 26 horses and 36 cows. How many horses must be taken away from the animal shelter so that 75 percent of the animals in the shelter will be cows?
Walking 7/6 of his usual rate, a boy reaches his school 2 min early. Find his usual time to reach the school?
Company Z has 61 employees. If the number of employees having birthdays on Wednesday is more than the number of employees having birthdays on any other day of the week, each of which have same number of birth-days, what is the minimum number of employees having birthdays on Wednesday.
John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam four years ago?
A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
In 2008, the profits of Company M were 5 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 15 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
The speed of a car is 85 km in the first hour and 45 km in the second hour. What is the average speed of the car?
A bowl of nuts is prepared for a party. Brand P mixed nuts are 20% almonds and Brand Q's Deluxe nuts are 25% almonds. If a bowl contains a total of 64 ounces of nuts, representing a mixture of both brands, and 14 ounces of the mixture are almonds, how many ounces of Brand Q's Deluxe mixed nuts are used?
If x is a prime number, and x-1 is the median of the set {x-1, 3x+3, 2x-4}, then what is the average (arithmetic mean) of the set?
The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the number is 60, find the other?
A car salesman earns a base salary of $1,000 per month plus a commission of $200 for each car he sells. If the car salesman earned $2000 in March, how many cars does he need to sell in April in order to double his March earnings?
The average weight of a group of boys is 30 kg. After a boy of weight 37 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Manoj borrowed Rs.3900 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 60 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour. If both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus B to cover the exact distance that bus A has covered and the amount of time it takes bus B to cover twice the distance that bus A has covered?
The sum of two numbers is 40 and their product is 350. What will be the sum of their reciprocals?
A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:
If p/q = 3/5 , then 2p+q= ?
Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?
X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more. What is the value of X?
What number has a 5:1 ratio to the number 10?
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336
If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
From a total of 4 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?
A train 650 m long is running at a speed of 81 km/hr. In what time will it pass a bridge 340 m long?
A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 20% less than the price each head sold for the day before.what was the gross profit on this shipment?
A man started a business investing Rs.70,000. Rakhi joined him after six months with an amount of Rs.1,05,000 and Sagar joined them with Rs.1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
In how many different number of ways 8 boys and 3 girls can sit on a shopa which can accommodate 4 persons?
Marts income is 30 percent more than Tims income and Tims income is 40 percent less than Juans income. What percentage of Juans income is Marts income
On a map, 1 inch represents 28 miles. How many X XXinches would be necessary to represent a distance of 383.6 miles?
There are 6 people and 6 chairs. In how many different ways people can occupy the chairs?
When two coins are tossed, Find the probability of getting all t ails?
A, B and C start swimming in a pool simultaneously from the same end. To complete 12 laps, A takes 10 minutes, B takes 8 minutes and C takes 6 minutes. What is the ratio of speeds A:B:C?
A woman complete a journey in 15 hours. She travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in
How many three digit numbers V greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?
Raju age after 55 years will be 5 times his age 5 years back, What is the present age of Raju
Two trains, each 100 m long, moving in opposite directions, cross other in 20 sec. If one is moving twice as fast the other, then the speed of the faster train is?
The length of the room is 5.5m and width is 3.75m. Find the cost of paving the floor by slabs at the rate of Rs.800 per sq meter?
What is the average of 120, 130, 140, 510, 520, 530, 1115, 1120, and 1125?
The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 9 and 39 inclusive.
SAKSHI CAN DO A PIECE OF WORK IN 20 DAYS. TANYA IS 25% MORE EFFICIENT THAN SAKSHI. THE NUMBER OF DAYS TAKEN BY TANYA TO DO THE SAME PIECE OF WORK IS:
A man can row a boat at 20 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 60 km downstream?
A tin of oil was 4/5full.when 6 bottles of oil were taken out and four bottles of oil were poured into it, it was ¾ full. how many bottles of oil can the tin contain?
A can complete the job in 2 hours and B can complete the same job in 4 hours. A works for 1 hour and then B joins and both complete the job. What fraction of the job did B complete
At the end of a business conference the 20 people present all shake hands with each other once. How many handshakes will there be altogether ?
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 6 pumps work to empty the tank in 1 day?
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 15. The larger of the two numbers is:
If xy = xy – 2(x + y) for all integers x and y, then 4 (–3) =
one-fourth of the workers in Palabras bookstore have read the latest book by J. Saramago, and 5/8 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 72 workers in the Palabras bookstore, how many of them have read both books?
The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?
The ratio of number of students studying Arts, Commerce and Science in a College is 3 : 4 :8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science?
A car finishes a journey in ten hours at the speed of 80 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?
If Q is the least common multiple of 90,196, and 300, which of the following is NOT a factor of Q?
Rectangular Floors X and Y have equal area. If Floor X is 10 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?
The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit L on the height of vehicles that are allowed to use the tunnel?
X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false? 1. (Y + X) is an odd number. 2. Y^(X + Y) is an integer. 3. X^Y is a positive number.
A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 40 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?
Two trains are running in opposite directions with the same speed. If the length of each train is 80 m and they cross each other in 12 sec, then the speed of each train is?
How many multiples of 4 are there between 4 and 64 ?
The simple form of the ratio 2/3:2/5 is?
A cyclist rides a bicycle over a route which is 1/3 uphill, 1/3 level, and 1/3 downhill. If the cyclist covers the uphill part of the route at the rate of 6 km per hour and the level part at the rate of 9 km per hour, what rate in km per hour would the cyclist have to travel the downhill part of the route in order to average 9 km per hour for the entire route?
If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 9 days, then C alone can do it in?
Submarine M and Submarine N are equipped with sonar devices that can operate within a 4,000 yard range. Submarine M remains in place while Submarine N moves 3,700 yards south from Submarine M. Submarine N then changes course and moves due east, stopping at the maximum range of the sonar devices. In which of the following directions can Submarine N continue to move and still be within the sonar range of Submarine M? I. North II. South III. West
In a garden, there are yellow and green flowers which are straight and curved. If the probability of picking a green flower is 1/8 and picking a straight flower is 1/2, then what is the probability of picking a flower which is yellow and straight
A vessel contains a 105 ml mixture of milk and water. 3/7 of the mixture is alcohol, the remainder is water. An additional quantity of 105 ml of milk is poured into the mixture. What is the ratio of the volume of milk to water in the new mixture?
An investor bought two shares of stock, which he sold for $84 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined, the investor had:
A = {2, 3, 5, 7, 11} B = {2, 4, 6, 15} Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?
An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
A sum of money at simple interest amounts to Rs. 415 in 2 years and to Rs. 514 in 4 years. The sum is ?
What is the average of four tenths and five thousandths?
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age six years back was?
A 400 meter long train crosses a man standing on the platform in 10 sec. What is the speed of the train?
If a, b, and c are integers and ab^2/c is a positive even integer, which of the following must be true? I. ab is even II. ab > 0 III. c is even
A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of 5 cubic feet. If a large block has three times the width, twice the depth, and half the length of a normal block, what is the volume of cheese in a large block in cubic feet?
Carol spends 1/4 of her savings on a stereo and 1/2 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television?
A computer is programmed to multiply consecutive even integers 2468…*n until the product is divisible by 1551, What is the value of n?
If a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ?
It takes Joey the postman 1 hours to run a 7 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 8 mile/hour, what is the speed with which Joey returns?
Each Machine of type A has 2 steel parts and 2 chrome parts. Each machine of type B has 6 steel parts and 5 chrome parts. If a certain group of type A and type B machines has a total of 20 steel parts and 22 chrome parts, how many machines are in the group
The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
Find the sum and number of divisors of 544 excluding 1 and 544.

Find all positive integers n such that n^2 + 1 is divisible by n+ 1.

5 men are equal to as many women as are equal to 7 boys. All of them earn Rs.90 only. Men’s wages are?

The height of the wall is 6 times its width and length of the wall is 7 times its height .if the volume of the wall be 6804 cu.m.its width is

In a village, there are four tribes located at different distances from each other. Tribe R is 60 miles away from Tribe P; Tribe S 40 miles away from Tribe B and Tribe R is 10 miles nearer to the Tribe S than it is to Tribe Q. How far is the Tribe S located from the tribe P ?

A boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 168 km downstream.

In 1991, there are 28 days in February and there are 365 days in the year. In 1992, there are 29 days in February and there are 366 days in the year. If the date March 15, 1995 is a Tuesday, then which one of the following would the date March 15, 1996 be?

IF 20= W 21= W 22= W 23= W 24= W THEN 25=?

Look at this series: U32, V29, __, X23, Y20, ... What number should fill the blank?

If the length of the longest chord of a certain circle is 22, what is the radius of that certain circle?

What is the smallest number Y which when increased by 5 is completely divisible by 8, 11 and 24?

The average monthly salary of 25 employees in an organisation is Rs. 2500. If the manager's salary is added, then the average salary increases by Rs. 200. What is the manager's monthly salary?

Mary, Peter, and Lucy were picking chestnuts. Mary picked three times as much as much chestnuts than Peter. Lucy picked 4 kg more than Peter. Together the three of them picked 29 kg of chestnuts. How many kilograms of chestnuts did Mary, Peter, and Lucy pick respectively?

Each shelf of a bookcase contained 11 books. If the librarian took out 18 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 17 books, how many shelves does the bookcase have?

A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 5 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?

Eight animals of a circus has to be placed inside in eight cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.

Sum of the squares of three numbers is 414 and the sum of their products taken two at a time is 131. Find the sum?

A certain animal shelter has 26 horses and 36 cows. How many horses must be taken away from the animal shelter so that 75 percent of the animals in the shelter will be cows?

Walking 7/6 of his usual rate, a boy reaches his school 2 min early. Find his usual time to reach the school?

Company Z has 61 employees. If the number of employees having birthdays on Wednesday is more than the number of employees having birthdays on any other day of the week, each of which have same number of birth-days, what is the minimum number of employees having birthdays on Wednesday.

John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam four years ago?

A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?

In 2008, the profits of Company M were 5 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 15 percent of revenues. The profits in 2009 were what percent of the profits in 2008?

The speed of a car is 85 km in the first hour and 45 km in the second hour. What is the average speed of the car?

A bowl of nuts is prepared for a party. Brand P mixed nuts are 20% almonds and Brand Q's Deluxe nuts are 25% almonds. If a bowl contains a total of 64 ounces of nuts, representing a mixture of both brands, and 14 ounces of the mixture are almonds, how many ounces of Brand Q's Deluxe mixed nuts are used?

If x is a prime number, and x-1 is the median of the set {x-1, 3x+3, 2x-4}, then what is the average (arithmetic mean) of the set?

The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the number is 60, find the other?

A car salesman earns a base salary of $1,000 per month plus a commission of $200 for each car he sells. If the car salesman earned $2000 in March, how many cars does he need to sell in April in order to double his March earnings?

The average weight of a group of boys is 30 kg. After a boy of weight 37 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?

Manoj borrowed Rs.3900 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?

Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 60 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour. If both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus B to cover the exact distance that bus A has covered and the amount of time it takes bus B to cover twice the distance that bus A has covered?

The sum of two numbers is 40 and their product is 350. What will be the sum of their reciprocals?

A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:

If p/q = 3/5 , then 2p+q= ?

Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?

The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?

X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more. What is the value of X?

What number has a 5:1 ratio to the number 10?

How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336

If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?

From a total of 4 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?

A train 650 m long is running at a speed of 81 km/hr. In what time will it pass a bridge 340 m long?

A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 20% less than the price each head sold for the day before.what was the gross profit on this shipment?

A man started a business investing Rs.70,000. Rakhi joined him after six months with an amount of Rs.1,05,000 and Sagar joined them with Rs.1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?

The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?

In how many different number of ways 8 boys and 3 girls can sit on a shopa which can accommodate 4 persons?

Marts income is 30 percent more than Tims income and Tims income is 40 percent less than Juans income. What percentage of Juans income is Marts income

On a map, 1 inch represents 28 miles. How many X XXinches would be necessary to represent a distance of 383.6 miles?

There are 6 people and 6 chairs. In how many different ways people can occupy the chairs?

When two coins are tossed, Find the probability of getting all t ails?

A, B and C start swimming in a pool simultaneously from the same end. To complete 12 laps, A takes 10 minutes, B takes 8 minutes and C takes 6 minutes. What is the ratio of speeds A:B:C?

A woman complete a journey in 15 hours. She travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in

How many three digit numbers V greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?

Raju age after 55 years will be 5 times his age 5 years back, What is the present age of Raju

Two trains, each 100 m long, moving in opposite directions, cross other in 20 sec. If one is moving twice as fast the other, then the speed of the faster train is?

The length of the room is 5.5m and width is 3.75m. Find the cost of paving the floor by slabs at the rate of Rs.800 per sq meter?

What is the average of 120, 130, 140, 510, 520, 530, 1115, 1120, and 1125?

The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 9 and 39 inclusive.

SAKSHI CAN DO A PIECE OF WORK IN 20 DAYS. TANYA IS 25% MORE EFFICIENT THAN SAKSHI. THE NUMBER OF DAYS TAKEN BY TANYA TO DO THE SAME PIECE OF WORK IS:

A man can row a boat at 20 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 60 km downstream?

A tin of oil was 4/5full.when 6 bottles of oil were taken out and four bottles of oil were poured into it, it was ¾ full. how many bottles of oil can the tin contain?

A can complete the job in 2 hours and B can complete the same job in 4 hours. A works for 1 hour and then B joins and both complete the job. What fraction of the job did B complete

At the end of a business conference the 20 people present all shake hands with each other once. How many handshakes will there be altogether ?

3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 6 pumps work to empty the tank in 1 day?

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 15. The larger of the two numbers is:

If x*y = xy – 2(x + y) for all integers x and y, then 4* (–3) =

one-fourth of the workers in Palabras bookstore have read the latest book by J. Saramago, and 5/8 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 72 workers in the Palabras bookstore, how many of them have read both books?

The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?

The ratio of number of students studying Arts, Commerce and Science in a College is 3 : 4 :8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science?

A car finishes a journey in ten hours at the speed of 80 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?

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

Rectangular Floors X and Y have equal area. If Floor X is 10 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?

The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit L on the height of vehicles that are allowed to use the tunnel?

X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false? 1. (Y + X) is an odd number. 2. Y^(X + Y) is an integer. 3. X^Y is a positive number.

A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 40 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?

Two trains are running in opposite directions with the same speed. If the length of each train is 80 m and they cross each other in 12 sec, then the speed of each train is?

How many multiples of 4 are there between 4 and 64 ?

The simple form of the ratio 2/3:2/5 is?

A cyclist rides a bicycle over a route which is 1/3 uphill, 1/3 level, and 1/3 downhill. If the cyclist covers the uphill part of the route at the rate of 6 km per hour and the level part at the rate of 9 km per hour, what rate in km per hour would the cyclist have to travel the downhill part of the route in order to average 9 km per hour for the entire route?

If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 9 days, then C alone can do it in?

Submarine M and Submarine N are equipped with sonar devices that can operate within a 4,000 yard range. Submarine M remains in place while Submarine N moves 3,700 yards south from Submarine M. Submarine N then changes course and moves due east, stopping at the maximum range of the sonar devices. In which of the following directions can Submarine N continue to move and still be within the sonar range of Submarine M? I. North II. South III. West

In a garden, there are yellow and green flowers which are straight and curved. If the probability of picking a green flower is 1/8 and picking a straight flower is 1/2, then what is the probability of picking a flower which is yellow and straight

A vessel contains a 105 ml mixture of milk and water. 3/7 of the mixture is alcohol, the remainder is water. An additional quantity of 105 ml of milk is poured into the mixture. What is the ratio of the volume of milk to water in the new mixture?

An investor bought two shares of stock, which he sold for $84 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined, the investor had:

A = {2, 3, 5, 7, 11} B = {2, 4, 6, 15} Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?

An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?

A sum of money at simple interest amounts to Rs. 415 in 2 years and to Rs. 514 in 4 years. The sum is ?

What is the average of four tenths and five thousandths?

A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age six years back was?

A 400 meter long train crosses a man standing on the platform in 10 sec. What is the speed of the train?

If a, b, and c are integers and ab^2/c is a positive even integer, which of the following must be true? I. ab is even II. ab > 0 III. c is even

A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of 5 cubic feet. If a large block has three times the width, twice the depth, and half the length of a normal block, what is the volume of cheese in a large block in cubic feet?

Carol spends 1/4 of her savings on a stereo and 1/2 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television?

A computer is programmed to multiply consecutive even integers 2*4*6*8*…*n until the product is divisible by 1551, What is the value of n?

If a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ?

It takes Joey the postman 1 hours to run a 7 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 8 mile/hour, what is the speed with which Joey returns?

Each Machine of type A has 2 steel parts and 2 chrome parts. Each machine of type B has 6 steel parts and 5 chrome parts. If a certain group of type A and type B machines has a total of 20 steel parts and 22 chrome parts, how many machines are in the group

The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?

Find the sum and number of divisors of 544 excluding 1 and 544.