dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
The average age of 19 persons in a office is 15 years. Out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. The age of the 15th person is?
Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
What is the probability of getting a sum of 12 when rolling 3 dice simultaneously?
A sum of Rs.7000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
In how many ways can the letters of the word ASTERIX be arranged in a row so that the vowels appear in alphabetic order?
There are 3 numbers A, B and C. If A:B = 3/5, B:C = 5/4, C:D = 4/8, then A:D will be?
If y exceeds x by 28%, then x is less than y by?
If 14 men do a work in 80 days, in how many days will 20 men do it?
A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.1446 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
A soccer team played 160 games and won 65 percent of them. How many games did it win?
If the numerator of a fraction be increased by 15% and its denominator be diminished by 8%, the value of the fraction is 15/16. Find the original fraction ?
A driver goes on a trip of 50 kilometers, the first 25 kilometers at 66 kilometers per hour and the remaining distance at 33 kilometers per hour. What is the average speed of the entire trip in kilometers per hour?
The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 10, and k < m < r < s < t. If t is 20, what is the greatest possible value of the median of the 5 integers?
It is given that 2^32 + 1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number R?
If the product of 10 integers is negative, at most how many of the integers can be negative?
A cistern can be filled in 9 hours but due to a leak at its bottom it takes 10 hours. If the cistern is full, then the time that the leak will take to make it empty will be ?
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 95 m is?
Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,800 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees?
FOG + FOG + FOG + FOG = 1464. If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?
A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 3 inches wide on each side, the total area would have been (M + 64) square inches. What is the perimeter of the photograph, in inches?
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?
Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations X of project assignments are possible?
How many coins of 0.5 dollars each and 0.7 dollars each together make exactly 4.6 dollars?
An investment of d dollars at k percent simple annual interest yields $500 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $2,000 over a 4 year period?
The price of a jacket is reduced by 35%. During a special sale the price of the jacket is reduced another 10%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
(469 + 174)(power 2) - (469 - 174)(power 2) / (469 x 174) = ?
Yukou enjoys reading science-fiction. It is the New Year and he has made a resolution to read a book every week for this year. He has a collection of monster books and space travel books in the ratio of 4:5. He presently has 20 space travel books. How many more books (of each genre) does he need to buy to keep his resolution, without changing the ratio?
Sripad has scored average of 65 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
How many odd 4-digit positive integers T that are multiples of 5 can be formed without using the digit 3?
In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope: that is the “number” of the envelope. An envelope containing no cards has the number 1. We then put the three envelope numbers in order, from lowest to highest, and that is our set. How many different K sets can be produced by this process?
A cylindrical bucket of height 36 cm and radius 21 cm is filled with sand. The bucket is emptied on the ground and a conical heap of sand is formed, the height of the heap being 12 cm. The radius of the heap at the base is :
Louie takes out a three-month loan of $1000. The lender charges him 10% interest per month compunded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
10x + 2y = -6 8x + y = 3 In the system of equations above, what is the value of x?
How many minutes are there in two right angles?
A cycle is bought for Rs.900 and sold for Rs.1150, find the gain percent?
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
A rectangular rug with side lengths of 2 feet and 7 feet is placed on a square floor that has an area of 64 square feet. If the surface of the rug does not extend beyond the area of the floor, what fraction of the area of the floor is not covered by the rug?
The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 20 terms of the sequence?
A car consumes 210 liters of petrol weekly. For how many days will 1470 liters of petrol be sufficient?
A larger cube has 343 cubic inch as a volume and in the cube there are 343 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 343 smaller cubes and the surface area of the larger cube, in square inch?
How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 3-percent solution?
If s and t are positive integers such that s/t = 84.15, which of the following could be the remainder when s is divided by t ?
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Currently mangoes cost 60 cents/pound. Due to a disease affecting the mango trees it is expected that next month mangoes will cost 200% more than they do currently. How much are mangoes expected to cost next month?
A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
One night 18 percent of the female officers on a police force were on duty. If 180 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
By investing a 6% stock at 96 an income of Rs. 100 is obtained by making and investment of ?
I bought two books; for Rs.540. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true? I. a + b + c > a^3 II. a × b × c < a^3 III. 5b > bc
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 10 years. Find the average age of the women?
An investor purchased 100 shares of stock X at 8 1/8 dollars per share and sold them all a year later at 24 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment?
For the positive numbers, n, n + 1, n + 2, n + 3, and n + 4, the mean is how much greater than the median?
A football coach must choose 5freshers from a team of 12players. How many different ways can the coach choose the freshers?
Difference between the length &breadth of a rectangle is 10 m. If its perimeter is 206 m, then its area is?
Find the product of the local value and absolute value of 4 in 564823
A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Two brothers took the GMAT exam, the higher score is P and the lower one is Q. If the difference between the two scores is equal to their average, what is the value of Q/P ?
How many three digit number can be formed with the numbers 1,2,3,4,5.
A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number W of ways this can be done is:
If f(x) = x^4 - 4x^3 - 2x^2 + 5x , then f(-1) =
There are 5 Rock songs, 6 Pop songs, and 3 Jazz. How many different albums can be formed using the above repertoire if the albums should contain at least one Rock song and one Pop song?
Find the value of y from (12)^3 x 6^3 ÷ 432 = y?
The table below shows how many coaches work with each of the major sports teams at Kristensen School. Although no single coach works with all three teams, 6 coaches work with both the Track and Tennis teams, 2 coaches work with both the Track and Baseball teams, and 1 coach works with both the Tennis and Baseball teams. How many different coaches work with these three teams? Sports No of coaches Track 8 Tennis 5 Baseball 4
A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many J cubes are painted on only 2 faces?
A certain car can travel 20 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
Two pipes A and B can fill a tank in 10 minutes and 20 minutes respectively. If both the taps are opened simultaneously, and the tap A is closed after 5 minutes, then how much more time will it take to fill the tank by tap B?
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
5358 x 51 = ?
Jacob brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8600. If his salary for the month of May is Rs.6500, find his salary for the month of January?
How many integers between 100 and 600 are there such that their unit digit is odd?
Right now, Al and Eliot have bank accounts, and Al has more money than Eliot. The difference between their two accounts is 1/10 of the sum of their two accounts. If Al’s account were to increase by 10% and Eliot’s account were to increase by 20%, then Al would have exactly $22 more than Eliot in his account. How much money does Eliot have in his account right now?
A shopkeeper sells 300 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
Find the sum of prime numbers lying between 60 and 75?
The list price of an article is Rs.65. A customer pays Rs.57.33 for it. He was given two successive discounts, one of them being 10%. The other discount is?
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Set S contains points whose abscissa and ordinate are both natural numbers. Point P, an element in set S has the property that the sum of the distances from point P to the point (8, 0) and the point (0, 12) is the lowest among all elements in set S. How many such points P exist in set S?
When n is divided by 15, the remainder is 8. What is the remainder when 5n is divided by 6?
In an express train, the passengers travelling in A.C. sleeper class, First class and Sleeper class are in the ratio 1 : 2 : 7, and rate for each class is in the ratio 5 : 4 : 2. If the total income from this train is 54,000 , find the income of Indian Railways from A.C. sleeper class.
A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
1000 men have provisions for 20 days. If 650 more men join them, for how many days will the provisions last now?
Danny spends $360 buying his favorite dolls. If he buys only small LemonHead dolls, which are $1 cheaper than the large LemonHead dolls, he could buy 5 more dolls than if he were to buy only large LemonHead dolls. How much does a large LemonHead doll cost?
For what range of values of 'x ' will the inequality 15x - 2/x > 1?
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 320 resolutions?
The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
In a partnership between A, B and C. A's capital is Rs.2000. If his share of a profit of Rs.600 is Rs.200 and C's share is Rs.130, what is B's capital?
A certain auto manufacturer sold 5% fewer vehicles in 2007 than in 2006. If the manufacturer sold 3.0 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
What is the probability of flipping a fair coin five times and the coin landing on heads on at least two flips?
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
A runner runs the 40 miles from Marathon to Athens at a constant speed. Halfway through the run she injures her foot, and continues to run at half her previous speed. If the second half takes her 8 hours longer than the first half, how many hours did it take the runner to run the second half?
How many multiples of 5 are there between 5 to 105?
A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 12days, A finished the remaining work. In how many days A alone can finish the job?
If 60% of 3/5 of a number is 36, then the number is?
A man can do a piece of work in 15 days, but with the help of his son, he can do it in 6 days. In what time can the son do it alone?
What is the probability Q of randomly selecting an arrangement of the letters of the wordMEDITERRANEANin which the first letter is E and the last letter is R?
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Charles’s and Sarah’s current ages are C years and S years, respectively. If 6 years from now, Charles will be at least as old as Sarah was 2 years ago, which of the following must be true?

The average age of 19 persons in a office is 15 years. Out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. The age of the 15th person is?

Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.

What is the probability of getting a sum of 12 when rolling 3 dice simultaneously?

A sum of Rs.7000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.

In how many ways can the letters of the word ASTERIX be arranged in a row so that the vowels appear in alphabetic order?

There are 3 numbers A, B and C. If A:B = 3/5, B:C = 5/4, C:D = 4/8, then A:D will be?

If y exceeds x by 28%, then x is less than y by?

If 14 men do a work in 80 days, in how many days will 20 men do it?

A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.1446 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.

A soccer team played 160 games and won 65 percent of them. How many games did it win?

If the numerator of a fraction be increased by 15% and its denominator be diminished by 8%, the value of the fraction is 15/16. Find the original fraction ?

A driver goes on a trip of 50 kilometers, the first 25 kilometers at 66 kilometers per hour and the remaining distance at 33 kilometers per hour. What is the average speed of the entire trip in kilometers per hour?

The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 10, and k < m < r < s < t. If t is 20, what is the greatest possible value of the median of the 5 integers?

It is given that 2^32 + 1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number R?

If the product of 10 integers is negative, at most how many of the integers can be negative?

A cistern can be filled in 9 hours but due to a leak at its bottom it takes 10 hours. If the cistern is full, then the time that the leak will take to make it empty will be ?

A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?

If the perimeter of a rectangular garden is 600 m, its length when its breadth is 95 m is?

Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,800 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees?

FOG + FOG + FOG + FOG = 1464. If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?

A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 3 inches wide on each side, the total area would have been (M + 64) square inches. What is the perimeter of the photograph, in inches?

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?

Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations X of project assignments are possible?

How many coins of 0.5 dollars each and 0.7 dollars each together make exactly 4.6 dollars?

An investment of d dollars at k percent simple annual interest yields $500 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $2,000 over a 4 year period?

The price of a jacket is reduced by 35%. During a special sale the price of the jacket is reduced another 10%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?

(469 + 174)(power 2) - (469 - 174)(power 2) / (469 x 174) = ?

Yukou enjoys reading science-fiction. It is the New Year and he has made a resolution to read a book every week for this year. He has a collection of monster books and space travel books in the ratio of 4:5. He presently has 20 space travel books. How many more books (of each genre) does he need to buy to keep his resolution, without changing the ratio?

Sripad has scored average of 65 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?

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

In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope: that is the “number” of the envelope. An envelope containing no cards has the number 1. We then put the three envelope numbers in order, from lowest to highest, and that is our set. How many different K sets can be produced by this process?

A cylindrical bucket of height 36 cm and radius 21 cm is filled with sand. The bucket is emptied on the ground and a conical heap of sand is formed, the height of the heap being 12 cm. The radius of the heap at the base is :

Louie takes out a three-month loan of $1000. The lender charges him 10% interest per month compunded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?

10x + 2y = -6 8x + y = 3 In the system of equations above, what is the value of x?

How many minutes are there in two right angles?

A cycle is bought for Rs.900 and sold for Rs.1150, find the gain percent?

If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?

A rectangular rug with side lengths of 2 feet and 7 feet is placed on a square floor that has an area of 64 square feet. If the surface of the rug does not extend beyond the area of the floor, what fraction of the area of the floor is not covered by the rug?

The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 20 terms of the sequence?

A car consumes 210 liters of petrol weekly. For how many days will 1470 liters of petrol be sufficient?

A larger cube has 343 cubic inch as a volume and in the cube there are 343 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 343 smaller cubes and the surface area of the larger cube, in square inch?

How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 3-percent solution?

If s and t are positive integers such that s/t = 84.15, which of the following could be the remainder when s is divided by t ?

A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?

Currently mangoes cost 60 cents/pound. Due to a disease affecting the mango trees it is expected that next month mangoes will cost 200% more than they do currently. How much are mangoes expected to cost next month?

A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

One night 18 percent of the female officers on a police force were on duty. If 180 officers were on duty that night and half of these were female officers, how many female officers were on the police force?

By investing a 6% stock at 96 an income of Rs. 100 is obtained by making and investment of ?

I bought two books; for Rs.540. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?

A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?

If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true? I. a + b + c > a^3 II. a × b × c < a^3 III. 5b > bc

The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 10 years. Find the average age of the women?

An investor purchased 100 shares of stock X at 8 1/8 dollars per share and sold them all a year later at 24 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment?

For the positive numbers, n, n + 1, n + 2, n + 3, and n + 4, the mean is how much greater than the median?

A football coach must choose 5freshers from a team of 12players. How many different ways can the coach choose the freshers?

Difference between the length &breadth of a rectangle is 10 m. If its perimeter is 206 m, then its area is?

Find the product of the local value and absolute value of 4 in 564823

A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?

A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?

Two brothers took the GMAT exam, the higher score is P and the lower one is Q. If the difference between the two scores is equal to their average, what is the value of Q/P ?

How many three digit number can be formed with the numbers 1,2,3,4,5.

A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number W of ways this can be done is:

If f(x) = x^4 - 4x^3 - 2x^2 + 5x , then f(-1) =

There are 5 Rock songs, 6 Pop songs, and 3 Jazz. How many different albums can be formed using the above repertoire if the albums should contain at least one Rock song and one Pop song?

Find the value of y from (12)^3 x 6^3 ÷ 432 = y?

The table below shows how many coaches work with each of the major sports teams at Kristensen School. Although no single coach works with all three teams, 6 coaches work with both the Track and Tennis teams, 2 coaches work with both the Track and Baseball teams, and 1 coach works with both the Tennis and Baseball teams. How many different coaches work with these three teams? Sports No of coaches Track 8 Tennis 5 Baseball 4

A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many J cubes are painted on only 2 faces?

A certain car can travel 20 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?

Two pipes A and B can fill a tank in 10 minutes and 20 minutes respectively. If both the taps are opened simultaneously, and the tap A is closed after 5 minutes, then how much more time will it take to fill the tank by tap B?

A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?

5358 x 51 = ?

Jacob brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?

The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8600. If his salary for the month of May is Rs.6500, find his salary for the month of January?

How many integers between 100 and 600 are there such that their unit digit is odd?

Right now, Al and Eliot have bank accounts, and Al has more money than Eliot. The difference between their two accounts is 1/10 of the sum of their two accounts. If Al’s account were to increase by 10% and Eliot’s account were to increase by 20%, then Al would have exactly $22 more than Eliot in his account. How much money does Eliot have in his account right now?

A shopkeeper sells 300 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?

Find the sum of prime numbers lying between 60 and 75?

The list price of an article is Rs.65. A customer pays Rs.57.33 for it. He was given two successive discounts, one of them being 10%. The other discount is?

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

Set S contains points whose abscissa and ordinate are both natural numbers. Point P, an element in set S has the property that the sum of the distances from point P to the point (8, 0) and the point (0, 12) is the lowest among all elements in set S. How many such points P exist in set S?

When n is divided by 15, the remainder is 8. What is the remainder when 5n is divided by 6?

In an express train, the passengers travelling in A.C. sleeper class, First class and Sleeper class are in the ratio 1 : 2 : 7, and rate for each class is in the ratio 5 : 4 : 2. If the total income from this train is 54,000 , find the income of Indian Railways from A.C. sleeper class.

A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?

1000 men have provisions for 20 days. If 650 more men join them, for how many days will the provisions last now?

Danny spends $360 buying his favorite dolls. If he buys only small LemonHead dolls, which are $1 cheaper than the large LemonHead dolls, he could buy 5 more dolls than if he were to buy only large LemonHead dolls. How much does a large LemonHead doll cost?

For what range of values of 'x ' will the inequality 15x - 2/x > 1?

The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 320 resolutions?

The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?

In a partnership between A, B and C. A's capital is Rs.2000. If his share of a profit of Rs.600 is Rs.200 and C's share is Rs.130, what is B's capital?

A certain auto manufacturer sold 5% fewer vehicles in 2007 than in 2006. If the manufacturer sold 3.0 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?

What is the probability of flipping a fair coin five times and the coin landing on heads on at least two flips?

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

A runner runs the 40 miles from Marathon to Athens at a constant speed. Halfway through the run she injures her foot, and continues to run at half her previous speed. If the second half takes her 8 hours longer than the first half, how many hours did it take the runner to run the second half?

How many multiples of 5 are there between 5 to 105?

A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 12days, A finished the remaining work. In how many days A alone can finish the job?

If 60% of 3/5 of a number is 36, then the number is?

A man can do a piece of work in 15 days, but with the help of his son, he can do it in 6 days. In what time can the son do it alone?

What is the probability Q of randomly selecting an arrangement of the letters of the wordMEDITERRANEANin which the first letter is E and the last letter is R?

There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is

Charles’s and Sarah’s current ages are C years and S years, respectively. If 6 years from now, Charles will be at least as old as Sarah was 2 years ago, which of the following must be true?