dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?
Two cars are driving toward each other. The first car is traveling at a speed of 75 km/h, which is 25% slower than the second car's speed. If the distance between the cars is 1050 km, how many hours will it take until the two cars meet?
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 10 minutes?
After 6 games, team B had an average of 65 points per game. If it got only 47 points in game 7, how many more points does it need to score to get its total above 500?
There are 23 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had
A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
What is the probability that when a hand of 6 cards is drawn from a well shuffled deck of 52 cards, It contains 2 Queen?
In the following sequence of alphabets, if the second half is reversed, which letter would be the fifth to the right of the letter which is twelveth from the left ? A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
If the price of a certain computer increased 30 percent from d dollars to 364 dollars, then 2d =
Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.36000 after completion of one year. What will be Jose's share of profit?
There were two candidates in an election. Winner candidate received 60% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
The sum of two numbers is 50 and their product is 375. What will be the sum of their reciprocals?
A couple has two children, one of whom is a girl. If the probability of having a girl or a boy is 50%, what is the probability that the couple has two daughters?
Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.18 per cubic meter?
A train running at 25 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man standing still. Find the length of the train and that of the platform.
A no. when divided by 35leaves a remainder 20, what is the remainder if the same no.be divided by 15?
x ÷ 4 × 5 + 10 – 12 = 48, then x =
How many of the integers between 25 and 45 are even ?
How many numbers from 10 to 1000000 are exactly divisible by 9?
The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
The number obtained by interchanging the two digits of a two digit number is lesser than the original number by 54. If the sum of the two digits of the number is 12, then what is the original number?
n a 1000m race, if A gives B a start of 40m, A wing by 19sec. But if A gives B start of 30sec, B wins by 40m. Find the time taken by B to run 5000m race?
A certain high school has 500 students. Of these students, 30 are taking music, 20 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art?
A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. Find out the number of days for which the remaining food will last
If 100,000 microns = 1 decimeter, and 1,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?
After giving a discount of rs.100the shopkeeper still gets a profit of 30%,if the cost price is rs.1000.find the markup %?
The calendar of the year 2024 can be used again in the year?
The area of a square garden is Q square feet and the perimeter is P feet. If Q=2P+20, what is the perimeter of the garden in feet?
The average of 65 numbers is 40. If two numbers, 50 and 60 are discarded, then the average of the remaining numbers is nearly
A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
A football field is 9600 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 5600 square yards?
When a merchant imported a certain item, he paid a 9 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $85.50, what was the total value of the item?
There are 7000 people in the particular village , among them 30% are educated and out of these 28% are doing agriculture and out of them 50% are woman's. Then find out the number of woman's who are educated and doing agriculture?
What sum of money will produce Rs.80 as simple interest in 2 years at 16 percent?
In a class of 20 students, 2 students did not borrow any books from the library, 8 students each borrowed 1 book, 3 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 15 percent, what was the annual interest rate last year?
In a group of ducks and cows, the total number of legs are 24 more than twice the no. of heads. Find the total no.of buffaloes.
A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 5 more blue balls than white balls, and thrice as many red balls as blue balls, how many white balls does The box has ?
Which one of the following numbers is exactly divisible by 11?
P and Q started a business investing Rs. 54,000 and Rs. 36,000 respectively. Out of a total profit of Rs. 18,000, Q's share is :
A train 250 m long running at 72 kmph crosses a platform in 50 sec. What is the length of the platform?
The average salary/head of all the workers in a workshop is Rs.1100, if the average salary/head of 9 technician is Rs.1300 and the average salary/head of the rest is Rs.880, the total no. of workers in the work-shop is ?
The perimeter of a square is equal to the perimeter of a rectangle of length 15 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
In a consumer survey, 75% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Jill invests $10000 in an account that pays an annual rate of 3.96%, compounding semi-annually. Approximately how much W does she have in her account after two years?
A man can row upstream at 15 kmph and down strem 30 kmph. He takes 9 hours to row from lower point A to upper point B and back to A. What is the total distance traveled by him in 9 hours? He must return back to base point A in remaining time.
The calender for the year 2007 will be the same for the year :
Calculate the circumference of a circular field whose radius is 6 centimeters.
How many real roots does the equation x^4y+16xy+64y=0 have if y < 0?
If the price of gasoline increases by 20% and a driver intends to spend only 8% more on gasoline, by how much percent should the driver reduce the quantity of gasoline that he buys?
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
Solution A is made up of alcohol and water mixed in the ratio of 21:4 by volume; Solution B is made up of alcohol and water mixed in the ratio of 2:3 by volume. If Solution A and Solution B are mixed in the ratio of 5:6 by volume, what percent of the resultant mixture is alcohol?
How long will it take a sum of money invested at 5% p.a. S.I. to increase its value by 40%?
Aman 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?
In the first 20 overs of a cricket game, the run rate was only 4.2. What should be the rate in the remaining 30 overs to reach the target of 250 runs?
Today is Sunday. After 65 days, it will be:
If n = 6p, where p is a prime number greater than 2, how many different positiveevendivisors does n have, including n ?
Calculate the distance covered by 150 revolutions of a wheel of radius 20.5 cm.
Given f(x) = 3x – 5, for what value of x does 2*[f(x)] + 8 = f(3x – 6)
In a renowned city, the average birth rate is 9 people every two seconds and the death rate is 3 people every two seconds. Estimate the size of the population net increase that occurs in one day.
A dishonest dealer professes to sell goods at the cost price but uses a weight of 950 grams per kg, what is his percent?
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
In how many ways can the letters of word INTELLIGENT be arranged such that all the vowels as well as all the Consonants always appear together?
What is the least possible value of expression E = (x-1)(x-3)(x-4)(x-6)+10 for real values of x?
There are a lot of houses such that the numbers of their doorplates are odd numbers and the first number of the doorplates is 545, the last number of the doorplates is 805. How many houses are there?
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996 ?
Find the area of a parallelogram with base 36 cm and height 24 cm?
Shreehari has 500 chocolates in his self. He eats 10% of the chocolates per month. How many chocolates will he have after 2 months?
A, B and C started a business with capitals of Rs.6000, Rs.8000, and Rs.10000 respectively. At the end of the year, the profit share of B is Rs1000. The difference between the profit shares of A and C is
A shopkeeper labeled the price of his articles so as to earn a profit of 20% on the cost price. He then sold the articles by offering a discount of 5% on the labeled price. What is the actual percent profit earned in the deal?
A set consist of 2l-1 element. What is the number of subsets of this set which contain at most l-1 elements?
During the months May through October, Teddy the bear quintuples his weight, and during the months November through April, Teddy loses 100 pounds. If at the beginning of November 1973, Teddy's weight was m pounds, what was Teddy's weight in pounds by the end of April 1976?
If X and Y are positive integers, X - 5 is divisible by 4 and Y - 1 is divisible by 4, all of the following could be the value of X - Y Except?
A committee of three people is to be chosen from 7 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
The average price of an antique car increases over the years. If from 1990 to 1996, the price of the car increased by 13% and from 1996 to 2001 it increased by 20%, what is the price of the car in 2001 if the price in 1990 was $11,500?
Each of seven different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?
Which of the following options represents an approximate value for the question mark (?) in the following equation? 87.542 + 62.511 × 3.2 + ? = 805.925
Which of these must the factor Q of the product of four consecutive even integers:- 1) 48 2) 64 3) 96 4) 192 5) 80
A five-year promissory note with a face value of $3500, bearing interest at 11% compounded semiannually, was sold 21 months after its issue date to yield the buyer 10% compounded quarterly.What amount was paid for the note
What is the height of a circular cone? I. The area of that cone is equal to the area of a rectangle whose length is 33 cm. II. The area of the base of that cone is 154 sq. cm.
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
If the rectangular screen of a computer monitor is designed to have a length of x inches, a perimeter of P inches and an area of A square inches, which of these equations must be true?
In a class of 50 students, 20 play Golf, 15 play Cricket and 11 play Football. 7 play both Golf and Cricket, 4 play Cricket and Football and 5 play Golf and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
A family made a down payment of $75 and borrowed the balance on a set of encyclopedias that cost $500. The balance with interest was paid in 23 monthly payments of $20 each and a final payment of $9. The amount of interest paid was what percent of the amount borrowed?
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 324 votes. Find the number of votes casted to the winning candidate?
A family pays $800 per year for an insurance plan that pays 70 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total how much?
When positive integer N is divided by positive integer J, the remainder is 10. If N/J = 134.08, what is value of J?
A young girl counted in the following way on the fingers of her left hand. She started collang the thumb 1, the index finger 2, the middle finger 3, the ring finger 4, the little finger 5, then reversed direction calling the ring finger 6, the the middle finger 7, the index finger 8, the thumb 9 then back to the index finger for 10, the middel finger for 11, and so on. She counted up to 1995. She ended on her
if samaira wallet have 10rs. note,50 rs. note,2000 rs.note.if 10rs. is 3/5 part of his money and 50rs. is 1/5 part of his money.if he has 8000 money consist of 2000 rs.calculate total money in samaira wallet?
A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
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 Q of ways this can be done is:
A corporation paid $7 million in federal taxes on its first $50 million of gross profits and then $30 million in federal taxes on the next $150 million in gross profits. By approximately what percent did the ratio of federal taxes to gross profits increase from the first $50 million in profits to the next $150 million in profits?
Two airplanes, one from Atlanta to New York and the other from New York to Atlanta, start simultaneously. After they meet, the airplanes reach their destinations after 16 hours and 4 hours respectively The ratio of their speeds is
If the roots of a quadratic equation are 20 and -7, then find the equation?
Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=3/5, what is the ratio of rectangle A’s area to rectangle B’s area?

The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?

What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?

Two cars are driving toward each other. The first car is traveling at a speed of 75 km/h, which is 25% slower than the second car's speed. If the distance between the cars is 1050 km, how many hours will it take until the two cars meet?

The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?

Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 10 minutes?

After 6 games, team B had an average of 65 points per game. If it got only 47 points in game 7, how many more points does it need to score to get its total above 500?

There are 23 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?

A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had

A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?

What is the probability that when a hand of 6 cards is drawn from a well shuffled deck of 52 cards, It contains 2 Queen?

In the following sequence of alphabets, if the second half is reversed, which letter would be the fifth to the right of the letter which is twelveth from the left ? A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

If the price of a certain computer increased 30 percent from d dollars to 364 dollars, then 2d =

Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.36000 after completion of one year. What will be Jose's share of profit?

There were two candidates in an election. Winner candidate received 60% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?

The sum of two numbers is 50 and their product is 375. What will be the sum of their reciprocals?

A couple has two children, one of whom is a girl. If the probability of having a girl or a boy is 50%, what is the probability that the couple has two daughters?

Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.18 per cubic meter?

A train running at 25 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man standing still. Find the length of the train and that of the platform.

A no. when divided by 35leaves a remainder 20, what is the remainder if the same no.be divided by 15?

x ÷ 4 × 5 + 10 – 12 = 48, then x =

How many of the integers between 25 and 45 are even ?

How many numbers from 10 to 1000000 are exactly divisible by 9?

The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher

The number obtained by interchanging the two digits of a two digit number is lesser than the original number by 54. If the sum of the two digits of the number is 12, then what is the original number?

n a 1000m race, if A gives B a start of 40m, A wing by 19sec. But if A gives B start of 30sec, B wins by 40m. Find the time taken by B to run 5000m race?

A certain high school has 500 students. Of these students, 30 are taking music, 20 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art?

A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. Find out the number of days for which the remaining food will last

If 100,000 microns = 1 decimeter, and 1,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

After giving a discount of rs.100the shopkeeper still gets a profit of 30%,if the cost price is rs.1000.find the markup %?

The calendar of the year 2024 can be used again in the year?

The area of a square garden is Q square feet and the perimeter is P feet. If Q=2P+20, what is the perimeter of the garden in feet?

The average of 65 numbers is 40. If two numbers, 50 and 60 are discarded, then the average of the remaining numbers is nearly

A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?

A football field is 9600 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 5600 square yards?

When a merchant imported a certain item, he paid a 9 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $85.50, what was the total value of the item?

There are 7000 people in the particular village , among them 30% are educated and out of these 28% are doing agriculture and out of them 50% are woman's. Then find out the number of woman's who are educated and doing agriculture?

What sum of money will produce Rs.80 as simple interest in 2 years at 16 percent?

In a class of 20 students, 2 students did not borrow any books from the library, 8 students each borrowed 1 book, 3 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?

The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 15 percent, what was the annual interest rate last year?

In a group of ducks and cows, the total number of legs are 24 more than twice the no. of heads. Find the total no.of buffaloes.

A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 5 more blue balls than white balls, and thrice as many red balls as blue balls, how many white balls does The box has ?

Which one of the following numbers is exactly divisible by 11?

P and Q started a business investing Rs. 54,000 and Rs. 36,000 respectively. Out of a total profit of Rs. 18,000, Q's share is :

A train 250 m long running at 72 kmph crosses a platform in 50 sec. What is the length of the platform?

The average salary/head of all the workers in a workshop is Rs.1100, if the average salary/head of 9 technician is Rs.1300 and the average salary/head of the rest is Rs.880, the total no. of workers in the work-shop is ?

The perimeter of a square is equal to the perimeter of a rectangle of length 15 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)

In a consumer survey, 75% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?

Jill invests $10000 in an account that pays an annual rate of 3.96%, compounding semi-annually. Approximately how much W does she have in her account after two years?

A man can row upstream at 15 kmph and down strem 30 kmph. He takes 9 hours to row from lower point A to upper point B and back to A. What is the total distance traveled by him in 9 hours? He must return back to base point A in remaining time.

The calender for the year 2007 will be the same for the year :

Calculate the circumference of a circular field whose radius is 6 centimeters.

How many real roots does the equation x^4y+16xy+64y=0 have if y < 0?

If the price of gasoline increases by 20% and a driver intends to spend only 8% more on gasoline, by how much percent should the driver reduce the quantity of gasoline that he buys?

The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?

Solution A is made up of alcohol and water mixed in the ratio of 21:4 by volume; Solution B is made up of alcohol and water mixed in the ratio of 2:3 by volume. If Solution A and Solution B are mixed in the ratio of 5:6 by volume, what percent of the resultant mixture is alcohol?

How long will it take a sum of money invested at 5% p.a. S.I. to increase its value by 40%?

Aman 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?

In the first 20 overs of a cricket game, the run rate was only 4.2. What should be the rate in the remaining 30 overs to reach the target of 250 runs?

Today is Sunday. After 65 days, it will be:

If n = 6p, where p is a prime number greater than 2, how many different positiveevendivisors does n have, including n ?

Calculate the distance covered by 150 revolutions of a wheel of radius 20.5 cm.

Given f(x) = 3x – 5, for what value of x does 2*[f(x)] + 8 = f(3x – 6)

In a renowned city, the average birth rate is 9 people every two seconds and the death rate is 3 people every two seconds. Estimate the size of the population net increase that occurs in one day.

A dishonest dealer professes to sell goods at the cost price but uses a weight of 950 grams per kg, what is his percent?

By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?

In how many ways can the letters of word INTELLIGENT be arranged such that all the vowels as well as all the Consonants always appear together?

What is the least possible value of expression E = (x-1)(x-3)(x-4)(x-6)+10 for real values of x?

There are a lot of houses such that the numbers of their doorplates are odd numbers and the first number of the doorplates is 545, the last number of the doorplates is 805. How many houses are there?

The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?

A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?

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

Find the area of a parallelogram with base 36 cm and height 24 cm?

Shreehari has 500 chocolates in his self. He eats 10% of the chocolates per month. How many chocolates will he have after 2 months?

A, B and C started a business with capitals of Rs.6000, Rs.8000, and Rs.10000 respectively. At the end of the year, the profit share of B is Rs1000. The difference between the profit shares of A and C is

A shopkeeper labeled the price of his articles so as to earn a profit of 20% on the cost price. He then sold the articles by offering a discount of 5% on the labeled price. What is the actual percent profit earned in the deal?

A set consist of 2l-1 element. What is the number of subsets of this set which contain at most l-1 elements?

During the months May through October, Teddy the bear quintuples his weight, and during the months November through April, Teddy loses 100 pounds. If at the beginning of November 1973, Teddy's weight was m pounds, what was Teddy's weight in pounds by the end of April 1976?

If X and Y are positive integers, X - 5 is divisible by 4 and Y - 1 is divisible by 4, all of the following could be the value of X - Y Except?

A committee of three people is to be chosen from 7 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?

The average price of an antique car increases over the years. If from 1990 to 1996, the price of the car increased by 13% and from 1996 to 2001 it increased by 20%, what is the price of the car in 2001 if the price in 1990 was $11,500?

Each of seven different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?

Which of the following options represents an approximate value for the question mark (?) in the following equation? 87.542 + 62.511 × 3.2 + ? = 805.925

Which of these must the factor Q of the product of four consecutive even integers:- 1) 48 2) 64 3) 96 4) 192 5) 80

A five-year promissory note with a face value of $3500, bearing interest at 11% compounded semiannually, was sold 21 months after its issue date to yield the buyer 10% compounded quarterly.What amount was paid for the note

What is the height of a circular cone? I. The area of that cone is equal to the area of a rectangle whose length is 33 cm. II. The area of the base of that cone is 154 sq. cm.

A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.

If the rectangular screen of a computer monitor is designed to have a length of x inches, a perimeter of P inches and an area of A square inches, which of these equations must be true?

In a class of 50 students, 20 play Golf, 15 play Cricket and 11 play Football. 7 play both Golf and Cricket, 4 play Cricket and Football and 5 play Golf and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?

A family made a down payment of $75 and borrowed the balance on a set of encyclopedias that cost $500. The balance with interest was paid in 23 monthly payments of $20 each and a final payment of $9. The amount of interest paid was what percent of the amount borrowed?

There were two candidates in an election. Winner candidate received 62% of votes and won the election by 324 votes. Find the number of votes casted to the winning candidate?

A family pays $800 per year for an insurance plan that pays 70 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total how much?

When positive integer N is divided by positive integer J, the remainder is 10. If N/J = 134.08, what is value of J?

A young girl counted in the following way on the fingers of her left hand. She started collang the thumb 1, the index finger 2, the middle finger 3, the ring finger 4, the little finger 5, then reversed direction calling the ring finger 6, the the middle finger 7, the index finger 8, the thumb 9 then back to the index finger for 10, the middel finger for 11, and so on. She counted up to 1995. She ended on her

if samaira wallet have 10rs. note,50 rs. note,2000 rs.note.if 10rs. is 3/5 part of his money and 50rs. is 1/5 part of his money.if he has 8000 money consist of 2000 rs.calculate total money in samaira wallet?

A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?

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 Q of ways this can be done is:

A corporation paid $7 million in federal taxes on its first $50 million of gross profits and then $30 million in federal taxes on the next $150 million in gross profits. By approximately what percent did the ratio of federal taxes to gross profits increase from the first $50 million in profits to the next $150 million in profits?

Two airplanes, one from Atlanta to New York and the other from New York to Atlanta, start simultaneously. After they meet, the airplanes reach their destinations after 16 hours and 4 hours respectively The ratio of their speeds is

If the roots of a quadratic equation are 20 and -7, then find the equation?

Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=3/5, what is the ratio of rectangle A’s area to rectangle B’s area?