prompt
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The difference between simple interest and C.I. at the same rate for Rs.5000 for 2 years in Rs.72. The rate of interest is?
|
[
{
"content": "The difference between simple interest and C.I. at the same rate for Rs.5000 for 2 years in Rs.72. The rate of interest is?",
"role": "user"
},
{
"content": "What is the rate of interest at which the difference between simple interest and compound interest for 2 years on Rs.5000 is Rs.72?",
"role": "assistant"
}
] |
What is the rate of interest at which the difference between simple interest and compound interest for 2 years on Rs.5000 is Rs.72?
|
The difference between simple interest and C.I. at the same rate for Rs.5000 for 2 years in Rs.72. The rate of interest is?
|
All 250 files on Sam's hard drive are infected by either a virus or a worm or both. The number of files that are infected only by a worm is 2.5 times the number of files that are infected by both a virus and a worm. If 50% of the files were not infected by a virus, how many of Sam's files were NOT infected by a worm?
|
[
{
"content": "All 250 files on Sam's hard drive are infected by either a virus or a worm or both. The number of files that are infected only by a worm is 2.5 times the number of files that are infected by both a virus and a worm. If 50% of the files were not infected by a virus, how many of Sam's files were NOT infected by a worm?",
"role": "user"
},
{
"content": "What is the number of Sam's files that were NOT infected by a worm, given that 50% of the 250 files were not infected by a virus, 2.5 times as many files are infected by a worm only as are infected by both a worm and a virus, and all files are infected by a virus, a worm, or both?",
"role": "assistant"
}
] |
What is the number of Sam's files that were NOT infected by a worm, given that 50% of the 250 files were not infected by a virus, 2.5 times as many files are infected by a worm only as are infected by both a worm and a virus, and all files are infected by a virus, a worm, or both?
|
All 250 files on Sam's hard drive are infected by either a virus or a worm or both. The number of files that are infected only by a worm is 2.5 times the number of files that are infected by both a virus and a worm. If 50% of the files were not infected by a virus, how many of Sam's files were NOT infected by a worm?
|
A father wants to divide Rs. 5100 between his two sons, Mohan and Sohan who are 23 and 24 at present. He divides the amount in such a way that if their shares are invested at compound interest at 4% p.a. they will receive equal amount on attaining the age of 26 years. Find Mohan's share.
|
[
{
"content": "A father wants to divide Rs. 5100 between his two sons, Mohan and Sohan who are 23 and 24 at present. He divides the amount in such a way that if their shares are invested at compound interest at 4% p.a. they will receive equal amount on attaining the age of 26 years. Find Mohan's share.",
"role": "user"
},
{
"content": "How will a father divide Rs. 5100 between his 23-year-old son Mohan and 24-year-old son Sohan so that when their shares are invested at a 4% p.a. compound interest, they will have equal amounts when they turn 26?",
"role": "assistant"
}
] |
How will a father divide Rs. 5100 between his 23-year-old son Mohan and 24-year-old son Sohan so that when their shares are invested at a 4% p.a. compound interest, they will have equal amounts when they turn 26?
|
A father wants to divide Rs. 5100 between his two sons, Mohan and Sohan who are 23 and 24 at present. He divides the amount in such a way that if their shares are invested at compound interest at 4% p.a. they will receive equal amount on attaining the age of 26 years. Find Mohan's share.
|
What is 60% of 30% of 1400 grams?
|
[
{
"content": "What is 60% of 30% of 1400 grams?",
"role": "user"
},
{
"content": "60 percent of 30 percent of 1400 grams equals what?",
"role": "assistant"
}
] |
60 percent of 30 percent of 1400 grams equals what?
|
What is 60% of 30% of 1400 grams?
|
A certain liquid passes through a drain at a rate of w/25 gallons every x seconds. At that rate, how many minutes will it take y gallons to pass through the drain?
|
[
{
"content": "A certain liquid passes through a drain at a rate of w/25 gallons every x seconds. At that rate, how many minutes will it take y gallons to pass through the drain?",
"role": "user"
},
{
"content": "At a rate of w/25 gallons per x seconds, how long will it take in minutes for y gallons to drain?",
"role": "assistant"
}
] |
At a rate of w/25 gallons per x seconds, how long will it take in minutes for y gallons to drain?
|
A certain liquid passes through a drain at a rate of w/25 gallons every x seconds. At that rate, how many minutes will it take y gallons to pass through the drain?
|
A coin made of alloy of aluminum and silver measures 2 x 15 mm (it is 2 mm thick and its diameter is 15 mm). If the weight of the coin is 30 grams and the volume of aluminum in the alloy equals that of silver, what will be the weight of a coin measuring 1 x 30 mm made of pure aluminum if silver is twice as heavy as aluminum?
|
[
{
"content": "A coin made of alloy of aluminum and silver measures 2 x 15 mm (it is 2 mm thick and its diameter is 15 mm). If the weight of the coin is 30 grams and the volume of aluminum in the alloy equals that of silver, what will be the weight of a coin measuring 1 x 30 mm made of pure aluminum if silver is twice as heavy as aluminum?",
"role": "user"
},
{
"content": "What will be the weight of a 1 x 30 mm coin made of pure aluminum if a 2 x 15 mm coin made of an aluminum and silver alloy weighs 30 grams and silver is twice as heavy as aluminum?",
"role": "assistant"
}
] |
What will be the weight of a 1 x 30 mm coin made of pure aluminum if a 2 x 15 mm coin made of an aluminum and silver alloy weighs 30 grams and silver is twice as heavy as aluminum?
|
A coin made of alloy of aluminum and silver measures 2 x 15 mm (it is 2 mm thick and its diameter is 15 mm). If the weight of the coin is 30 grams and the volume of aluminum in the alloy equals that of silver, what will be the weight of a coin measuring 1 x 30 mm made of pure aluminum if silver is twice as heavy as aluminum?
|
If 10 is subtracted from 2/3 of a number the result is equal to sum of 40 and 1/3 of the number. Find the number
|
[
{
"content": "If 10 is subtracted from 2/3 of a number the result is equal to sum of 40 and 1/3 of the number. Find the number",
"role": "user"
},
{
"content": "What number, when you subtract 10 from 2/3 of it, equals 40 plus 1/3 of the number?",
"role": "assistant"
}
] |
What number, when you subtract 10 from 2/3 of it, equals 40 plus 1/3 of the number?
|
If 10 is subtracted from 2/3 of a number the result is equal to sum of 40 and 1/3 of the number. Find the number
|
What is the largest integral value of 'k' for which the quadratic equation x2 - 5x + k = 0 will have two real and distinct roots?
|
[
{
"content": "What is the largest integral value of 'k' for which the quadratic equation x2 - 5x + k = 0 will have two real and distinct roots?",
"role": "user"
},
{
"content": "What is the maximum integral value of 'k' that allows the quadratic equation x2 - 5x + k = 0 to have two distinct real roots?",
"role": "assistant"
}
] |
What is the maximum integral value of 'k' that allows the quadratic equation x2 - 5x + k = 0 to have two distinct real roots?
|
What is the largest integral value of 'k' for which the quadratic equation x2 - 5x + k = 0 will have two real and distinct roots?
|
900 + 5 × 12 = ?
|
[
{
"content": "900 + 5 × 12 = ?",
"role": "user"
},
{
"content": "What is 900 plus 5 times 12?",
"role": "assistant"
}
] |
What is 900 plus 5 times 12?
|
900 + 5 × 12 = ?
|
Shweta rides at the rate of 10 km per hour but stops for 10 minutes to take rest at the end of every 15 km. How many hours will she take to cover 100 km
|
[
{
"content": "Shweta rides at the rate of 10 km per hour but stops for 10 minutes to take rest at the end of every 15 km. How many hours will she take to cover 100 km",
"role": "user"
},
{
"content": "If Shweta travels 10 km per hour and takes a 10-minute rest after every 15 km, how many hours will it take her to cover 100 km",
"role": "assistant"
}
] |
If Shweta travels 10 km per hour and takes a 10-minute rest after every 15 km, how many hours will it take her to cover 100 km
|
Shweta rides at the rate of 10 km per hour but stops for 10 minutes to take rest at the end of every 15 km. How many hours will she take to cover 100 km
|
Mr.Sam takes 17 hours to go by train to a certain city and return by car. He loses 4 hours if he goes both ways by train. How long would he have taken if he had traveled by car in both ways?
|
[
{
"content": "Mr.Sam takes 17 hours to go by train to a certain city and return by car. He loses 4 hours if he goes both ways by train. How long would he have taken if he had traveled by car in both ways?",
"role": "user"
},
{
"content": "How long would Mr. Sam's round trip have taken if he had driven both ways?",
"role": "assistant"
}
] |
How long would Mr. Sam's round trip have taken if he had driven both ways?
|
Mr.Sam takes 17 hours to go by train to a certain city and return by car. He loses 4 hours if he goes both ways by train. How long would he have taken if he had traveled by car in both ways?
|
Jim filled his dog's bowl with dog food. Starting at 8:00 am, Jim's dog ate exactly once an hour, consuming exactly 1/3 of the dog food remaining in the bowl at each feeding session. Approximately, what percent of the original food was in the dog's bowl right before the dog began to eat at noon of the same day?
|
[
{
"content": "Jim filled his dog's bowl with dog food. Starting at 8:00 am, Jim's dog ate exactly once an hour, consuming exactly 1/3 of the dog food remaining in the bowl at each feeding session. Approximately, what percent of the original food was in the dog's bowl right before the dog began to eat at noon of the same day?",
"role": "user"
},
{
"content": "What percentage of the original dog food remained in the bowl when the dog ate at noon",
"role": "assistant"
}
] |
What percentage of the original dog food remained in the bowl when the dog ate at noon
|
Jim filled his dog's bowl with dog food. Starting at 8:00 am, Jim's dog ate exactly once an hour, consuming exactly 1/3 of the dog food remaining in the bowl at each feeding session. Approximately, what percent of the original food was in the dog's bowl right before the dog began to eat at noon of the same day?
|
John conducted a survey about car color. 60% of the people who took the survey were women. Of the men who were surveyed, 75% preferred red cars over green cars. If 10 men liked green cars more than red, how many people took the survey?
|
[
{
"content": "John conducted a survey about car color. 60% of the people who took the survey were women. Of the men who were surveyed, 75% preferred red cars over green cars. If 10 men liked green cars more than red, how many people took the survey?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the given text, preserving its structure and semantics:\n\nJohn conducted a survey on car color preferences. The survey respondents were 60% female. Among the male respondents, 75% favored red over green cars. Given that 10 men preferred green cars to red ones, what was the total number of survey participants?",
"role": "assistant"
}
] |
Here's a paraphrased version of the given text, preserving its structure and semantics:
John conducted a survey on car color preferences. The survey respondents were 60% female. Among the male respondents, 75% favored red over green cars. Given that 10 men preferred green cars to red ones, what was the total number of survey participants?
|
John conducted a survey about car color. 60% of the people who took the survey were women. Of the men who were surveyed, 75% preferred red cars over green cars. If 10 men liked green cars more than red, how many people took the survey?
|
How many ways A boy can reach the top of stairs which contain 10 steps, when he can take either one or two steps every time?
|
[
{
"content": "How many ways A boy can reach the top of stairs which contain 10 steps, when he can take either one or two steps every time?",
"role": "user"
},
{
"content": "What are the number of ways a boy can climb to the top of a 10-step staircase, taking either single or double steps at a time?",
"role": "assistant"
}
] |
What are the number of ways a boy can climb to the top of a 10-step staircase, taking either single or double steps at a time?
|
How many ways A boy can reach the top of stairs which contain 10 steps, when he can take either one or two steps every time?
|
IF one gallon of soft drink is made of 40% orange juice and 60% water, how many additional gallons of orange juice must be mixed in order to make the orange juice 60% of the soft drink?
|
[
{
"content": "IF one gallon of soft drink is made of 40% orange juice and 60% water, how many additional gallons of orange juice must be mixed in order to make the orange juice 60% of the soft drink?",
"role": "user"
},
{
"content": "What amount of orange juice must be added to a gallon of soft drink containing 40% orange juice to make the orange juice content 60%?",
"role": "assistant"
}
] |
What amount of orange juice must be added to a gallon of soft drink containing 40% orange juice to make the orange juice content 60%?
|
IF one gallon of soft drink is made of 40% orange juice and 60% water, how many additional gallons of orange juice must be mixed in order to make the orange juice 60% of the soft drink?
|
What is the units digit of 9^3-7?
|
[
{
"content": "What is the units digit of 9^3-7?",
"role": "user"
},
{
"content": "What is the units digit of 9 cubed minus 7?",
"role": "assistant"
}
] |
What is the units digit of 9 cubed minus 7?
|
What is the units digit of 9^3-7?
|
5 horses are in a race. Mr.Jain selects two of horses at random and bets on them. The probability that he selected the winning horse is
|
[
{
"content": "5 horses are in a race. Mr.Jain selects two of horses at random and bets on them. The probability that he selected the winning horse is",
"role": "user"
},
{
"content": "There are 5 horses in the race and Mr. Jain randomly chooses 2 to bet on; what's the probability he picked the winner?",
"role": "assistant"
}
] |
There are 5 horses in the race and Mr. Jain randomly chooses 2 to bet on; what's the probability he picked the winner?
|
5 horses are in a race. Mr.Jain selects two of horses at random and bets on them. The probability that he selected the winning horse is
|
On dividing 2272 and 875 by a 3-digit number N, we get the same remainder. The sum of the digits of N is:
|
[
{
"content": "On dividing 2272 and 875 by a 3-digit number N, we get the same remainder. The sum of the digits of N is:",
"role": "user"
},
{
"content": "What is the sum of the digits of the 3-digit number N that yields the same remainder when 2272 and 875 are divided by it?",
"role": "assistant"
}
] |
What is the sum of the digits of the 3-digit number N that yields the same remainder when 2272 and 875 are divided by it?
|
On dividing 2272 and 875 by a 3-digit number N, we get the same remainder. The sum of the digits of N is:
|
On a test the passing students had an average of 83, while the failing students had an average
of 55. If the overall class average was 76, what percent of the class passed?
|
[
{
"content": "On a test the passing students had an average of 83, while the failing students had an average\nof 55. If the overall class average was 76, what percent of the class passed?",
"role": "user"
},
{
"content": "Given that the overall class average was 76, with passing students averaging 83 and failing students averaging 55, what percentage of the class achieved a passing grade?",
"role": "assistant"
}
] |
Given that the overall class average was 76, with passing students averaging 83 and failing students averaging 55, what percentage of the class achieved a passing grade?
|
On a test the passing students had an average of 83, while the failing students had an average
of 55. If the overall class average was 76, what percent of the class passed?
|
The average wages of a worker during a fortnight comprising of 15 consecutive working days was $90 per day. During the first 7 days, his average wage was $87 per day and the average wage during the last 7 days was $92 per day. What was his wage on the 8th day?
|
[
{
"content": "The average wages of a worker during a fortnight comprising of 15 consecutive working days was $90 per day. During the first 7 days, his average wage was $87 per day and the average wage during the last 7 days was $92 per day. What was his wage on the 8th day?",
"role": "user"
},
{
"content": "What was the worker's wage on the 8th day, given the average wages for the first 7 days was $87 per day, the last 7 days was $92 per day, and the overall average for 15 consecutive days was $90 per day?",
"role": "assistant"
}
] |
What was the worker's wage on the 8th day, given the average wages for the first 7 days was $87 per day, the last 7 days was $92 per day, and the overall average for 15 consecutive days was $90 per day?
|
The average wages of a worker during a fortnight comprising of 15 consecutive working days was $90 per day. During the first 7 days, his average wage was $87 per day and the average wage during the last 7 days was $92 per day. What was his wage on the 8th day?
|
Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is?
|
[
{
"content": "Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is?",
"role": "user"
},
{
"content": "What is the smaller number in the original ratio of 3:5 that becomes 12:23 after subtracting 9 from each number?",
"role": "assistant"
}
] |
What is the smaller number in the original ratio of 3:5 that becomes 12:23 after subtracting 9 from each number?
|
Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is?
|
If 6 yrs are subtracted from the present age of Ajay and the remainder is divided by 18, then the present age of Rahul is obtained. If Rahul is 2 yrs younger to Denis whose age is 5 yrs, then what is Ajay's present age?
|
[
{
"content": "If 6 yrs are subtracted from the present age of Ajay and the remainder is divided by 18, then the present age of Rahul is obtained. If Rahul is 2 yrs younger to Denis whose age is 5 yrs, then what is Ajay's present age?",
"role": "user"
},
{
"content": "What is Ajay's present age if subtracting 6 years from it and dividing the result by 18 gives Rahul's age, who is 2 years younger than 5-year-old Denis?",
"role": "assistant"
}
] |
What is Ajay's present age if subtracting 6 years from it and dividing the result by 18 gives Rahul's age, who is 2 years younger than 5-year-old Denis?
|
If 6 yrs are subtracted from the present age of Ajay and the remainder is divided by 18, then the present age of Rahul is obtained. If Rahul is 2 yrs younger to Denis whose age is 5 yrs, then what is Ajay's present age?
|
Anna has 4 books. If she decide to arrange the 4 books in every possible combination and moved just one book every minute, how long would it taken by her ?
|
[
{
"content": "Anna has 4 books. If she decide to arrange the 4 books in every possible combination and moved just one book every minute, how long would it taken by her ?",
"role": "user"
},
{
"content": "If Anna arranged her 4 books in every possible combination, moving one book per minute, how long would the process take?",
"role": "assistant"
}
] |
If Anna arranged her 4 books in every possible combination, moving one book per minute, how long would the process take?
|
Anna has 4 books. If she decide to arrange the 4 books in every possible combination and moved just one book every minute, how long would it taken by her ?
|
The manufacturer of tyres is offering a 20% discount on the price of its tubeless tyres. Some retailers are offering additional discounts. If a retailer offers an additional 20% discount, then what is the total discount available at that retailer?
|
[
{
"content": "The manufacturer of tyres is offering a 20% discount on the price of its tubeless tyres. Some retailers are offering additional discounts. If a retailer offers an additional 20% discount, then what is the total discount available at that retailer?",
"role": "user"
},
{
"content": "The tyre manufacturer is providing a 20% discount on tubeless tyres, with some retailers offering extra savings. If a retailer offers an additional 20% off, what is the combined discount at that store?",
"role": "assistant"
}
] |
The tyre manufacturer is providing a 20% discount on tubeless tyres, with some retailers offering extra savings. If a retailer offers an additional 20% off, what is the combined discount at that store?
|
The manufacturer of tyres is offering a 20% discount on the price of its tubeless tyres. Some retailers are offering additional discounts. If a retailer offers an additional 20% discount, then what is the total discount available at that retailer?
|
A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet?
|
[
{
"content": "A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet?",
"role": "user"
},
{
"content": "What is the area of the parking space in square feet if a rectangular parking space has three painted sides, with the unpainted side being 9 feet long and the total length of the painted sides being 37 feet?",
"role": "assistant"
}
] |
What is the area of the parking space in square feet if a rectangular parking space has three painted sides, with the unpainted side being 9 feet long and the total length of the painted sides being 37 feet?
|
A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet?
|
Peter wants to find 10 additional people to form a scavenger hunt team with him. If he has 10 friends who would like to participate, how many choices does he have for forming his team?
|
[
{
"content": "Peter wants to find 10 additional people to form a scavenger hunt team with him. If he has 10 friends who would like to participate, how many choices does he have for forming his team?",
"role": "user"
},
{
"content": "How many different teams of 10 people can Peter form with his 10 friends to join him in a scavenger hunt?",
"role": "assistant"
}
] |
How many different teams of 10 people can Peter form with his 10 friends to join him in a scavenger hunt?
|
Peter wants to find 10 additional people to form a scavenger hunt team with him. If he has 10 friends who would like to participate, how many choices does he have for forming his team?
|
The average weight of 10 oarsmen in a boat is increased by 1.8 kg when one of the crew, who weighs 53 kg is replaced by a new man. Find the weight of the new man.
|
[
{
"content": "The average weight of 10 oarsmen in a boat is increased by 1.8 kg when one of the crew, who weighs 53 kg is replaced by a new man. Find the weight of the new man.",
"role": "user"
},
{
"content": "What is the weight of the new crew member who replaced the 53 kg crew member, resulting in an average weight increase of 1.8 kg for the 10 oarsmen?",
"role": "assistant"
}
] |
What is the weight of the new crew member who replaced the 53 kg crew member, resulting in an average weight increase of 1.8 kg for the 10 oarsmen?
|
The average weight of 10 oarsmen in a boat is increased by 1.8 kg when one of the crew, who weighs 53 kg is replaced by a new man. Find the weight of the new man.
|
A box contains a certain number of balls, marked successively from 1 to n. If there are 45 different ways that two balls can be selected from the box such that the ball with number 3 marked on it is not selected, then what is the value of n?
|
[
{
"content": "A box contains a certain number of balls, marked successively from 1 to n. If there are 45 different ways that two balls can be selected from the box such that the ball with number 3 marked on it is not selected, then what is the value of n?",
"role": "user"
},
{
"content": "What is the value of n if there are 45 different ways to choose two balls from the box excluding the one marked 3?",
"role": "assistant"
}
] |
What is the value of n if there are 45 different ways to choose two balls from the box excluding the one marked 3?
|
A box contains a certain number of balls, marked successively from 1 to n. If there are 45 different ways that two balls can be selected from the box such that the ball with number 3 marked on it is not selected, then what is the value of n?
|
If Q, a positive integer, has 5 factors, which of the following must be true about Q?
I. Q is the square of a prime number.
II. Q is the fourth power of a prime number.
III. Q is the product of two prime numbers.
|
[
{
"content": "If Q, a positive integer, has 5 factors, which of the following must be true about Q?\nI. Q is the square of a prime number.\nII. Q is the fourth power of a prime number.\nIII. Q is the product of two prime numbers.",
"role": "user"
},
{
"content": "What must be true about Q, a positive integer with 5 factors?\nI. Q is the square of a prime number.\nII. Q is the fourth power of a prime number.\nIII. Q is the product of two prime numbers.",
"role": "assistant"
}
] |
What must be true about Q, a positive integer with 5 factors?
I. Q is the square of a prime number.
II. Q is the fourth power of a prime number.
III. Q is the product of two prime numbers.
|
If Q, a positive integer, has 5 factors, which of the following must be true about Q?
I. Q is the square of a prime number.
II. Q is the fourth power of a prime number.
III. Q is the product of two prime numbers.
|
If 6x - y = 24 and y = 3x, what is the value of x?
|
[
{
"content": "If 6x - y = 24 and y = 3x, what is the value of x?",
"role": "user"
},
{
"content": "Given 6x - y = 24 and y = 3x, what value does x represent?",
"role": "assistant"
}
] |
Given 6x - y = 24 and y = 3x, what value does x represent?
|
If 6x - y = 24 and y = 3x, what is the value of x?
|
You can rent DVDs at a local video store for $4.00 per movie without a membership. However, if you purchase a membership for $7.00 per month, you can rent DVDs for $2.00 each. What is the minimum amount of DVDs you would have to rent to make it worth it to purchase the membership?
|
[
{
"content": "You can rent DVDs at a local video store for $4.00 per movie without a membership. However, if you purchase a membership for $7.00 per month, you can rent DVDs for $2.00 each. What is the minimum amount of DVDs you would have to rent to make it worth it to purchase the membership?",
"role": "user"
},
{
"content": "At what point would buying a $7.00 monthly membership and paying $2.00 per DVD rental be cheaper than paying $4.00 per DVD without a membership?",
"role": "assistant"
}
] |
At what point would buying a $7.00 monthly membership and paying $2.00 per DVD rental be cheaper than paying $4.00 per DVD without a membership?
|
You can rent DVDs at a local video store for $4.00 per movie without a membership. However, if you purchase a membership for $7.00 per month, you can rent DVDs for $2.00 each. What is the minimum amount of DVDs you would have to rent to make it worth it to purchase the membership?
|
A bag of cat food weighs 7 pounds and 4 ounces. How much does the bag weigh in ounces?
|
[
{
"content": "A bag of cat food weighs 7 pounds and 4 ounces. How much does the bag weigh in ounces?",
"role": "user"
},
{
"content": "What is the weight of the bag of cat food in ounces?",
"role": "assistant"
}
] |
What is the weight of the bag of cat food in ounces?
|
A bag of cat food weighs 7 pounds and 4 ounces. How much does the bag weigh in ounces?
|
By himself, Jack can clean a yacht in 12 hours. On a particular day, he happens to finish two-thirds of the work. The remaining portion of the work is done by Jill, whose rate of cleaning is just 5% of what Jack can do. How long does it take Jill to finish the remaining work?
|
[
{
"content": "By himself, Jack can clean a yacht in 12 hours. On a particular day, he happens to finish two-thirds of the work. The remaining portion of the work is done by Jill, whose rate of cleaning is just 5% of what Jack can do. How long does it take Jill to finish the remaining work?",
"role": "user"
},
{
"content": "Working alone, Jack can clean a yacht in 12 hours. On a particular day, he completes two-thirds of the work. Jill, who cleans at 5% of Jack's rate, does the rest of the work. What is the time it takes Jill to complete the remaining work?",
"role": "assistant"
}
] |
Working alone, Jack can clean a yacht in 12 hours. On a particular day, he completes two-thirds of the work. Jill, who cleans at 5% of Jack's rate, does the rest of the work. What is the time it takes Jill to complete the remaining work?
|
By himself, Jack can clean a yacht in 12 hours. On a particular day, he happens to finish two-thirds of the work. The remaining portion of the work is done by Jill, whose rate of cleaning is just 5% of what Jack can do. How long does it take Jill to finish the remaining work?
|
Professors borrowed Rs. 5000 from the university at simple interest. After 3 years, the university got Rs. 300 on interest. What was the rate of interest per annum?
|
[
{
"content": "Professors borrowed Rs. 5000 from the university at simple interest. After 3 years, the university got Rs. 300 on interest. What was the rate of interest per annum?",
"role": "user"
},
{
"content": "At what rate of interest did the professors borrow Rs. 5000 from the university, if they paid Rs. 300 in interest after 3 years?",
"role": "assistant"
}
] |
At what rate of interest did the professors borrow Rs. 5000 from the university, if they paid Rs. 300 in interest after 3 years?
|
Professors borrowed Rs. 5000 from the university at simple interest. After 3 years, the university got Rs. 300 on interest. What was the rate of interest per annum?
|
In a sale, a discount of 20% was available on all the articles. If Vinit purchased an article for Rs.4578 in the sale. What was the actual selling price of the article?
|
[
{
"content": "In a sale, a discount of 20% was available on all the articles. If Vinit purchased an article for Rs.4578 in the sale. What was the actual selling price of the article?",
"role": "user"
},
{
"content": "During the sale, all items had a 20% discount. Vinit bought an article for Rs. 4578 in the sale, so what was its original price?",
"role": "assistant"
}
] |
During the sale, all items had a 20% discount. Vinit bought an article for Rs. 4578 in the sale, so what was its original price?
|
In a sale, a discount of 20% was available on all the articles. If Vinit purchased an article for Rs.4578 in the sale. What was the actual selling price of the article?
|
If 27 bottles of soda cost A cents, how much will B bottles cost in dollars?
|
[
{
"content": "If 27 bottles of soda cost A cents, how much will B bottles cost in dollars?",
"role": "user"
},
{
"content": "What is the cost in dollars of B bottles of soda if 27 bottles cost A cents?",
"role": "assistant"
}
] |
What is the cost in dollars of B bottles of soda if 27 bottles cost A cents?
|
If 27 bottles of soda cost A cents, how much will B bottles cost in dollars?
|
A bag contains 11 candy bars: three cost 50 cents each, four cost $1 each and four cost $2
each. How many ways can 3 candy bars be selected from the 11 candy bars so that the total cost is more than $4?
|
[
{
"content": "A bag contains 11 candy bars: three cost 50 cents each, four cost $1 each and four cost $2\neach. How many ways can 3 candy bars be selected from the 11 candy bars so that the total cost is more than $4?",
"role": "user"
},
{
"content": "In what ways can you choose 3 candy bars out of 11 with varying prices so the total exceeds $4?",
"role": "assistant"
}
] |
In what ways can you choose 3 candy bars out of 11 with varying prices so the total exceeds $4?
|
A bag contains 11 candy bars: three cost 50 cents each, four cost $1 each and four cost $2
each. How many ways can 3 candy bars be selected from the 11 candy bars so that the total cost is more than $4?
|
At a conference, one team is made up of 4 men and 4 women. Four presenters are chosen to present the team's findings in front of the entire conference. How many different groups of presenters can be chosen from the team if a team cannot be composed of men only or women only? (Two groups of presenters are considered different if at least one presenter is different.)
|
[
{
"content": "At a conference, one team is made up of 4 men and 4 women. Four presenters are chosen to present the team's findings in front of the entire conference. How many different groups of presenters can be chosen from the team if a team cannot be composed of men only or women only? (Two groups of presenters are considered different if at least one presenter is different.)",
"role": "user"
},
{
"content": "What is the number of distinct presenter groups that can be formed from a team of 4 men and 4 women, with the condition that the group must include at least one man and one woman?",
"role": "assistant"
}
] |
What is the number of distinct presenter groups that can be formed from a team of 4 men and 4 women, with the condition that the group must include at least one man and one woman?
|
At a conference, one team is made up of 4 men and 4 women. Four presenters are chosen to present the team's findings in front of the entire conference. How many different groups of presenters can be chosen from the team if a team cannot be composed of men only or women only? (Two groups of presenters are considered different if at least one presenter is different.)
|
Exactly 2/5th of the children in a certain class are girls. If there are 100 boys in the class, how many girls are in the class?
|
[
{
"content": "Exactly 2/5th of the children in a certain class are girls. If there are 100 boys in the class, how many girls are in the class?",
"role": "user"
},
{
"content": "In a certain class, what is the number of girls if 100 boys make up 3/5ths of the class?",
"role": "assistant"
}
] |
In a certain class, what is the number of girls if 100 boys make up 3/5ths of the class?
|
Exactly 2/5th of the children in a certain class are girls. If there are 100 boys in the class, how many girls are in the class?
|
Two numbers are said to be relatively prime if they share no common positive factors other than 1. Set S contains the set of integers from 1 to 1,000, inclusive. What is the probability that a number chosen from S is relatively prime to 1,000?
|
[
{
"content": "Two numbers are said to be relatively prime if they share no common positive factors other than 1. Set S contains the set of integers from 1 to 1,000, inclusive. What is the probability that a number chosen from S is relatively prime to 1,000?",
"role": "user"
},
{
"content": "What is the likelihood of selecting a number from the set of integers 1 to 1,000 that shares no common divisors with 1,000 other than 1?",
"role": "assistant"
}
] |
What is the likelihood of selecting a number from the set of integers 1 to 1,000 that shares no common divisors with 1,000 other than 1?
|
Two numbers are said to be relatively prime if they share no common positive factors other than 1. Set S contains the set of integers from 1 to 1,000, inclusive. What is the probability that a number chosen from S is relatively prime to 1,000?
|
At the of his one-year investment, Charles received $54,080, including interest and principal from a certain investment. If the investment paid an annual interest of 8 percent compounded semi-annually, which of the following is the amount of money that Charles originally invested?
|
[
{
"content": "At the of his one-year investment, Charles received $54,080, including interest and principal from a certain investment. If the investment paid an annual interest of 8 percent compounded semi-annually, which of the following is the amount of money that Charles originally invested?",
"role": "user"
},
{
"content": "What was Charles' initial investment, given that it earned 8% annual interest compounded semi-annually and yielded $54,080 after one year, including interest and principal?",
"role": "assistant"
}
] |
What was Charles' initial investment, given that it earned 8% annual interest compounded semi-annually and yielded $54,080 after one year, including interest and principal?
|
At the of his one-year investment, Charles received $54,080, including interest and principal from a certain investment. If the investment paid an annual interest of 8 percent compounded semi-annually, which of the following is the amount of money that Charles originally invested?
|
Joe's age, Joe's sister's age and Joe’s fathers age sums up to 100. When Joe is as old as his father, Joe's sister will be twice as old as now. When Joe is as old as his father then his father is twice as old as when his sister was as old as her father. Find the age of Joe's father?
|
[
{
"content": "Joe's age, Joe's sister's age and Joe’s fathers age sums up to 100. When Joe is as old as his father, Joe's sister will be twice as old as now. When Joe is as old as his father then his father is twice as old as when his sister was as old as her father. Find the age of Joe's father?",
"role": "user"
},
{
"content": "What is Joe's father's current age, given that the combined ages of Joe, his sister, and his father equal 100, and that when Joe reaches his father's age, his sister will be twice her current age, and at that time his father will be twice as old as he was when his sister was his current age.",
"role": "assistant"
}
] |
What is Joe's father's current age, given that the combined ages of Joe, his sister, and his father equal 100, and that when Joe reaches his father's age, his sister will be twice her current age, and at that time his father will be twice as old as he was when his sister was his current age.
|
Joe's age, Joe's sister's age and Joe’s fathers age sums up to 100. When Joe is as old as his father, Joe's sister will be twice as old as now. When Joe is as old as his father then his father is twice as old as when his sister was as old as her father. Find the age of Joe's father?
|
If one third of 3/4 of a number is 21. Then, find the number?
|
[
{
"content": "If one third of 3/4 of a number is 21. Then, find the number?",
"role": "user"
},
{
"content": "What is the number if one third of 3/4 of it equals 21?",
"role": "assistant"
}
] |
What is the number if one third of 3/4 of it equals 21?
|
If one third of 3/4 of a number is 21. Then, find the number?
|
If m > 0, y > 0, and x is m percent of 4y, then, in terms of y, m is what percentage of x?
|
[
{
"content": "If m > 0, y > 0, and x is m percent of 4y, then, in terms of y, m is what percentage of x?",
"role": "user"
},
{
"content": "What percentage of x is m, in terms of y, if x is m percent of 4y?",
"role": "assistant"
}
] |
What percentage of x is m, in terms of y, if x is m percent of 4y?
|
If m > 0, y > 0, and x is m percent of 4y, then, in terms of y, m is what percentage of x?
|
A man wants to eat fruit for breakfast and vegetable for dinner. He has 6 different types of fruit and 8 different types of vegetables. He can only eat one type at a time. In how many ways can he eat breakfast and dinner.
|
[
{
"content": "A man wants to eat fruit for breakfast and vegetable for dinner. He has 6 different types of fruit and 8 different types of vegetables. He can only eat one type at a time. In how many ways can he eat breakfast and dinner.",
"role": "user"
},
{
"content": "How many different combinations of fruit and vegetable can the man choose for breakfast and dinner, given 6 fruit options and 8 vegetable options, with one type eaten at a time?",
"role": "assistant"
}
] |
How many different combinations of fruit and vegetable can the man choose for breakfast and dinner, given 6 fruit options and 8 vegetable options, with one type eaten at a time?
|
A man wants to eat fruit for breakfast and vegetable for dinner. He has 6 different types of fruit and 8 different types of vegetables. He can only eat one type at a time. In how many ways can he eat breakfast and dinner.
|
There is a 90% chance that a registered voter in Burghtown voted in the last election. If five registered voters are chosen at random, what is the approximate likelihood that exactly four of them voted in the last election?
|
[
{
"content": "There is a 90% chance that a registered voter in Burghtown voted in the last election. If five registered voters are chosen at random, what is the approximate likelihood that exactly four of them voted in the last election?",
"role": "user"
},
{
"content": "In Burghtown, if five registered voters are randomly selected, what are the chances that four of them voted in the last election given a 90% voter turnout?",
"role": "assistant"
}
] |
In Burghtown, if five registered voters are randomly selected, what are the chances that four of them voted in the last election given a 90% voter turnout?
|
There is a 90% chance that a registered voter in Burghtown voted in the last election. If five registered voters are chosen at random, what is the approximate likelihood that exactly four of them voted in the last election?
|
Alice wants to put up fencing around three sides of her rectangular yard and leave one side of 10 meters unfenced. If the yard has an area of 240 square meters, how many meters of fencing does she need?
|
[
{
"content": "Alice wants to put up fencing around three sides of her rectangular yard and leave one side of 10 meters unfenced. If the yard has an area of 240 square meters, how many meters of fencing does she need?",
"role": "user"
},
{
"content": "How many meters of fencing will Alice need for a 240 square meter yard with a 10-meter unfenced side?",
"role": "assistant"
}
] |
How many meters of fencing will Alice need for a 240 square meter yard with a 10-meter unfenced side?
|
Alice wants to put up fencing around three sides of her rectangular yard and leave one side of 10 meters unfenced. If the yard has an area of 240 square meters, how many meters of fencing does she need?
|
John would make the 3-letter codes with diffenrent 5 vowels and 20 consonants with the condition that the middle letter must be vowel and the first letter and the third letter must be different from each other and are both consonant. How many different codes can be made?
|
[
{
"content": "John would make the 3-letter codes with diffenrent 5 vowels and 20 consonants with the condition that the middle letter must be vowel and the first letter and the third letter must be different from each other and are both consonant. How many different codes can be made?",
"role": "user"
},
{
"content": "How many 3-letter codes can be formed using 5 vowels and 20 consonants, with a vowel as the middle letter and different consonants as the first and third letters?",
"role": "assistant"
}
] |
How many 3-letter codes can be formed using 5 vowels and 20 consonants, with a vowel as the middle letter and different consonants as the first and third letters?
|
John would make the 3-letter codes with diffenrent 5 vowels and 20 consonants with the condition that the middle letter must be vowel and the first letter and the third letter must be different from each other and are both consonant. How many different codes can be made?
|
What is the sum of three consecutive integers whose product can be expressed as 727+728+729.
|
[
{
"content": "What is the sum of three consecutive integers whose product can be expressed as 727+728+729.",
"role": "user"
},
{
"content": "What are three consecutive integers whose product equals 727+728+729.",
"role": "assistant"
}
] |
What are three consecutive integers whose product equals 727+728+729.
|
What is the sum of three consecutive integers whose product can be expressed as 727+728+729.
|
The capacity of a tank of dimensions (8 m × 6 m × 2.5 m) is
|
[
{
"content": "The capacity of a tank of dimensions (8 m × 6 m × 2.5 m) is",
"role": "user"
},
{
"content": "The volume of a tank measuring (8 m × 6 m × 2.5 m) is",
"role": "assistant"
}
] |
The volume of a tank measuring (8 m × 6 m × 2.5 m) is
|
The capacity of a tank of dimensions (8 m × 6 m × 2.5 m) is
|
The population of a city is 5265526. If there are 4169516 adults in the city, how many children are there in the city?
|
[
{
"content": "The population of a city is 5265526. If there are 4169516 adults in the city, how many children are there in the city?",
"role": "user"
},
{
"content": "With a city population of 5265526 and 4169516 adults, what is the number of children?",
"role": "assistant"
}
] |
With a city population of 5265526 and 4169516 adults, what is the number of children?
|
The population of a city is 5265526. If there are 4169516 adults in the city, how many children are there in the city?
|
It takes a worker 9 minutes to drive from home to work at an average rate of 20 kilometers per hour. How many minutes will it take the worker to cycle from home to work along the same route at an average rate of 6 kilometers per hour?
|
[
{
"content": "It takes a worker 9 minutes to drive from home to work at an average rate of 20 kilometers per hour. How many minutes will it take the worker to cycle from home to work along the same route at an average rate of 6 kilometers per hour?",
"role": "user"
},
{
"content": "If a worker's 9-minute drive from home to work averages 20 kilometers per hour, how long will the same route take at 6 kilometers per hour by bike?",
"role": "assistant"
}
] |
If a worker's 9-minute drive from home to work averages 20 kilometers per hour, how long will the same route take at 6 kilometers per hour by bike?
|
It takes a worker 9 minutes to drive from home to work at an average rate of 20 kilometers per hour. How many minutes will it take the worker to cycle from home to work along the same route at an average rate of 6 kilometers per hour?
|
Two friends are eating a jar full of candies. Had P eaten alone, it would have taken him 10 minutes to finish the candies in the jar. Had Q eaten alone, it would have taken her 5 minutes to finish half the jar. Since both of them are eating simultaneously, how many minutes would it take them to empty the jar?
|
[
{
"content": "Two friends are eating a jar full of candies. Had P eaten alone, it would have taken him 10 minutes to finish the candies in the jar. Had Q eaten alone, it would have taken her 5 minutes to finish half the jar. Since both of them are eating simultaneously, how many minutes would it take them to empty the jar?",
"role": "user"
},
{
"content": "If P and Q eat the jar of candies together, how long will it take them to finish it?",
"role": "assistant"
}
] |
If P and Q eat the jar of candies together, how long will it take them to finish it?
|
Two friends are eating a jar full of candies. Had P eaten alone, it would have taken him 10 minutes to finish the candies in the jar. Had Q eaten alone, it would have taken her 5 minutes to finish half the jar. Since both of them are eating simultaneously, how many minutes would it take them to empty the jar?
|
A grocery sells a bag of ice for $1.25, and makes 20% profit. If it sells 500 bags of ice, how much total profit does it make?
|
[
{
"content": "A grocery sells a bag of ice for $1.25, and makes 20% profit. If it sells 500 bags of ice, how much total profit does it make?",
"role": "user"
},
{
"content": "What is the total profit from selling 500 bags of ice at a 20% markup for $1.25 per bag?",
"role": "assistant"
}
] |
What is the total profit from selling 500 bags of ice at a 20% markup for $1.25 per bag?
|
A grocery sells a bag of ice for $1.25, and makes 20% profit. If it sells 500 bags of ice, how much total profit does it make?
|
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