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reena took a loan of $ . 1200 with simple interest for as many years as the rate of interest . if she paid $ 300 as interest at the end of the loan period , what was the rate of interest ?
|
[
{
"content": "reena took a loan of $ . 1200 with simple interest for as many years as the rate of interest . if she paid $ 300 as interest at the end of the loan period , what was the rate of interest ?",
"role": "user"
},
{
"content": "What was the rate of interest if Reena paid $300 in interest after borrowing $1200 for the same number of years as the interest rate?",
"role": "assistant"
}
] |
What was the rate of interest if Reena paid $300 in interest after borrowing $1200 for the same number of years as the interest rate?
|
reena took a loan of $ . 1200 with simple interest for as many years as the rate of interest . if she paid $ 300 as interest at the end of the loan period , what was the rate of interest ?
|
if the number 872 , 152,24 x is divisible by 11 , what must be the value of x ?
|
[
{
"content": "if the number 872 , 152,24 x is divisible by 11 , what must be the value of x ?",
"role": "user"
},
{
"content": "What value of x will make 872,152,24x divisible by 11?",
"role": "assistant"
}
] |
What value of x will make 872,152,24x divisible by 11?
|
if the number 872 , 152,24 x is divisible by 11 , what must be the value of x ?
|
darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 20 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ?
|
[
{
"content": "darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 20 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nDarcy's workplace is 1.5 miles away. She has two options to get there: walking at 3 miles per hour or taking the train at 20 miles per hour. However, taking the train requires additional time (x minutes) for walking to and from the train stations and waiting. If walking takes Darcy 20 minutes longer than taking the train, what is the value of x?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
Darcy's workplace is 1.5 miles away. She has two options to get there: walking at 3 miles per hour or taking the train at 20 miles per hour. However, taking the train requires additional time (x minutes) for walking to and from the train stations and waiting. If walking takes Darcy 20 minutes longer than taking the train, what is the value of x?
|
darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 20 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ?
|
one ball will drop from a certain height . the height it will reach after rebounding from the floor is 50 percent of the previous height . the total travel is 150 cm when it touches the floor on third time . what is the value of the original height ?
|
[
{
"content": "one ball will drop from a certain height . the height it will reach after rebounding from the floor is 50 percent of the previous height . the total travel is 150 cm when it touches the floor on third time . what is the value of the original height ?",
"role": "user"
},
{
"content": "What is the original height of the ball, given that it rebounds to 50% of its previous height and travels a total of 150 cm when it hits the floor for the third time?",
"role": "assistant"
}
] |
What is the original height of the ball, given that it rebounds to 50% of its previous height and travels a total of 150 cm when it hits the floor for the third time?
|
one ball will drop from a certain height . the height it will reach after rebounding from the floor is 50 percent of the previous height . the total travel is 150 cm when it touches the floor on third time . what is the value of the original height ?
|
a furniture manufacturer has two machines , but only one can be used at a time . machine w is utilized during the first shift and machine b during the second shift , while both work half of the third shift . if machine w can do the job in 12 days working two shifts and machine b can do the job in 15 days working two shifts , how many days will it take to do the job with the current work schedule ?
|
[
{
"content": "a furniture manufacturer has two machines , but only one can be used at a time . machine w is utilized during the first shift and machine b during the second shift , while both work half of the third shift . if machine w can do the job in 12 days working two shifts and machine b can do the job in 15 days working two shifts , how many days will it take to do the job with the current work schedule ?",
"role": "user"
},
{
"content": "How many days will it take for the furniture manufacturer to complete the job using the current schedule, where machine W works the first shift, machine B works the second shift, and both work half of the third shift, given that machine W can complete the job in 12 days working two shifts and machine B can complete it in 15 days working two shifts?",
"role": "assistant"
}
] |
How many days will it take for the furniture manufacturer to complete the job using the current schedule, where machine W works the first shift, machine B works the second shift, and both work half of the third shift, given that machine W can complete the job in 12 days working two shifts and machine B can complete it in 15 days working two shifts?
|
a furniture manufacturer has two machines , but only one can be used at a time . machine w is utilized during the first shift and machine b during the second shift , while both work half of the third shift . if machine w can do the job in 12 days working two shifts and machine b can do the job in 15 days working two shifts , how many days will it take to do the job with the current work schedule ?
|
what will be the remainder when 17 ^ 200 is divided by 18 ?
|
[
{
"content": "what will be the remainder when 17 ^ 200 is divided by 18 ?",
"role": "user"
},
{
"content": "What is the remainder of 17 to the power of 200 when divided by 18?",
"role": "assistant"
}
] |
What is the remainder of 17 to the power of 200 when divided by 18?
|
what will be the remainder when 17 ^ 200 is divided by 18 ?
|
calculate 469200 x 9999 = ?
|
[
{
"content": "calculate 469200 x 9999 = ?",
"role": "user"
},
{
"content": "What is the product of 469200 and 9999?",
"role": "assistant"
}
] |
What is the product of 469200 and 9999?
|
calculate 469200 x 9999 = ?
|
how many seconds will a train 100 meters long take to cross a bridge 130 meters long if the speed of the train is 36 kmph ?
|
[
{
"content": "how many seconds will a train 100 meters long take to cross a bridge 130 meters long if the speed of the train is 36 kmph ?",
"role": "user"
},
{
"content": "At 36 kmph, how long will it take a 100-meter train to cross a 130-meter bridge?",
"role": "assistant"
}
] |
At 36 kmph, how long will it take a 100-meter train to cross a 130-meter bridge?
|
how many seconds will a train 100 meters long take to cross a bridge 130 meters long if the speed of the train is 36 kmph ?
|
the average of first six prime numbers which are between 60 and 90 is
|
[
{
"content": "the average of first six prime numbers which are between 60 and 90 is",
"role": "user"
},
{
"content": "the mean of the first six prime numbers that lie between 60 and 90 is",
"role": "assistant"
}
] |
the mean of the first six prime numbers that lie between 60 and 90 is
|
the average of first six prime numbers which are between 60 and 90 is
|
a is two years older than b who is twice as old as c . if the total ages of a , b and c be 27 . what is the age of b ?
|
[
{
"content": "a is two years older than b who is twice as old as c . if the total ages of a , b and c be 27 . what is the age of b ?",
"role": "user"
},
{
"content": "If a is two years older than b, and b is twice as old as c, with their total ages being 27, what is b's age?",
"role": "assistant"
}
] |
If a is two years older than b, and b is twice as old as c, with their total ages being 27, what is b's age?
|
a is two years older than b who is twice as old as c . if the total ages of a , b and c be 27 . what is the age of b ?
|
a certain debt will be paid in 52 installments from january 1 to december 31 of a certain year . each of the first 22 payments is to be $ 410 ; each of the remaining payments is to be $ 65 more than each of the first 22 payments . what is the average ( arithmetic mean ) payment that will be made on the debt for the year ?
|
[
{
"content": "a certain debt will be paid in 52 installments from january 1 to december 31 of a certain year . each of the first 22 payments is to be $ 410 ; each of the remaining payments is to be $ 65 more than each of the first 22 payments . what is the average ( arithmetic mean ) payment that will be made on the debt for the year ?",
"role": "user"
},
{
"content": "What is the average (arithmetic mean) payment for the year if a debt is paid in 52 installments, with the first 22 payments being $410 and the remaining payments being $65 more than the first 22?",
"role": "assistant"
}
] |
What is the average (arithmetic mean) payment for the year if a debt is paid in 52 installments, with the first 22 payments being $410 and the remaining payments being $65 more than the first 22?
|
a certain debt will be paid in 52 installments from january 1 to december 31 of a certain year . each of the first 22 payments is to be $ 410 ; each of the remaining payments is to be $ 65 more than each of the first 22 payments . what is the average ( arithmetic mean ) payment that will be made on the debt for the year ?
|
the ratio of numbers is 5 : 6 and their h . c . f is 4 . their l . c . m is :
|
[
{
"content": "the ratio of numbers is 5 : 6 and their h . c . f is 4 . their l . c . m is :",
"role": "user"
},
{
"content": "What is the LCM of two numbers with a ratio of 5:6 and an HCF of 4?",
"role": "assistant"
}
] |
What is the LCM of two numbers with a ratio of 5:6 and an HCF of 4?
|
the ratio of numbers is 5 : 6 and their h . c . f is 4 . their l . c . m is :
|
a number when divided by a certain divisor left remainder 241 , when twice the number was divided by the same divisor , the remainder was 102 . find the divisor ?
|
[
{
"content": "a number when divided by a certain divisor left remainder 241 , when twice the number was divided by the same divisor , the remainder was 102 . find the divisor ?",
"role": "user"
},
{
"content": "What is the divisor that results in a remainder of 241 when a number is divided by it, and 102 when twice the number is divided by it?",
"role": "assistant"
}
] |
What is the divisor that results in a remainder of 241 when a number is divided by it, and 102 when twice the number is divided by it?
|
a number when divided by a certain divisor left remainder 241 , when twice the number was divided by the same divisor , the remainder was 102 . find the divisor ?
|
the banker â € ™ s discount of a certain sum of money is rs . 90 and the true discount on the same sum for the same time is rs . 60 . the sum due is
|
[
{
"content": "the banker â € ™ s discount of a certain sum of money is rs . 90 and the true discount on the same sum for the same time is rs . 60 . the sum due is",
"role": "user"
},
{
"content": "The banker's discount on a certain amount of money is Rs. 90, and the true discount on the same amount for the same period is Rs. 60, so what is the sum due?",
"role": "assistant"
}
] |
The banker's discount on a certain amount of money is Rs. 90, and the true discount on the same amount for the same period is Rs. 60, so what is the sum due?
|
the banker â € ™ s discount of a certain sum of money is rs . 90 and the true discount on the same sum for the same time is rs . 60 . the sum due is
|
s is a positive integer and multiple of 2 ; p = 4 ^ s , what is the remainder when p is divided by 10 ?
|
[
{
"content": "s is a positive integer and multiple of 2 ; p = 4 ^ s , what is the remainder when p is divided by 10 ?",
"role": "user"
},
{
"content": "If s is a positive even integer, what is the remainder when 4 raised to the power of s is divided by 10 ?",
"role": "assistant"
}
] |
If s is a positive even integer, what is the remainder when 4 raised to the power of s is divided by 10 ?
|
s is a positive integer and multiple of 2 ; p = 4 ^ s , what is the remainder when p is divided by 10 ?
|
if the sum of two numbers is 22 and the sum of their squares is 386 , then the product of the numbers is
|
[
{
"content": "if the sum of two numbers is 22 and the sum of their squares is 386 , then the product of the numbers is",
"role": "user"
},
{
"content": "if two numbers add up to 22 and the sum of their squares is 386 , what is the product of the numbers",
"role": "assistant"
}
] |
if two numbers add up to 22 and the sum of their squares is 386 , what is the product of the numbers
|
if the sum of two numbers is 22 and the sum of their squares is 386 , then the product of the numbers is
|
the largest 4 digit number exactly divisible by 88 is ?
|
[
{
"content": "the largest 4 digit number exactly divisible by 88 is ?",
"role": "user"
},
{
"content": "What is the largest 4-digit number that is exactly divisible by 88?",
"role": "assistant"
}
] |
What is the largest 4-digit number that is exactly divisible by 88?
|
the largest 4 digit number exactly divisible by 88 is ?
|
a technician makes a round - trip to and from a certain service center by the same route . if the technician completes the drive to the center and then completes 80 percent of the drive from the center , what percent of the round - trip has the technician completed ?
|
[
{
"content": "a technician makes a round - trip to and from a certain service center by the same route . if the technician completes the drive to the center and then completes 80 percent of the drive from the center , what percent of the round - trip has the technician completed ?",
"role": "user"
},
{
"content": "What percentage of the round trip is completed by the technician after driving to the center and then 80% of the way back?",
"role": "assistant"
}
] |
What percentage of the round trip is completed by the technician after driving to the center and then 80% of the way back?
|
a technician makes a round - trip to and from a certain service center by the same route . if the technician completes the drive to the center and then completes 80 percent of the drive from the center , what percent of the round - trip has the technician completed ?
|
if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 15 - m ) then m = ?
|
[
{
"content": "if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 15 - m ) then m = ?",
"role": "user"
},
{
"content": "What is the value of m, an integer, if (-2)^2m equals 2^(15-m)?",
"role": "assistant"
}
] |
What is the value of m, an integer, if (-2)^2m equals 2^(15-m)?
|
if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 15 - m ) then m = ?
|
the ratio between the length and the breadth of a rectangular park is 3 : 4 . if a man cycling along the boundary of the park at the speed of 15 km / hr completes one round in 10 min , then the area of the park ( in sq . m ) is ?
|
[
{
"content": "the ratio between the length and the breadth of a rectangular park is 3 : 4 . if a man cycling along the boundary of the park at the speed of 15 km / hr completes one round in 10 min , then the area of the park ( in sq . m ) is ?",
"role": "user"
},
{
"content": "What is the area of the park in square meters if the length-to-width ratio of a rectangular park is 3:4 and a man cycling at 15 km/hr along the park's boundary completes one lap in 10 minutes?",
"role": "assistant"
}
] |
What is the area of the park in square meters if the length-to-width ratio of a rectangular park is 3:4 and a man cycling at 15 km/hr along the park's boundary completes one lap in 10 minutes?
|
the ratio between the length and the breadth of a rectangular park is 3 : 4 . if a man cycling along the boundary of the park at the speed of 15 km / hr completes one round in 10 min , then the area of the park ( in sq . m ) is ?
|
$ 378 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ?
|
[
{
"content": "$ 378 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ?",
"role": "user"
},
{
"content": "What is the amount of money that c receives ?",
"role": "assistant"
}
] |
What is the amount of money that c receives ?
|
$ 378 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ?
|
harkamal purchased 8 kg of grapes at the rate of 75 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?
|
[
{
"content": "harkamal purchased 8 kg of grapes at the rate of 75 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?",
"role": "user"
},
{
"content": "What was the total cost of the 8 kg of grapes at 75 per kg and 9 kg of mangoes at 55 per kg that Harkamal purchased",
"role": "assistant"
}
] |
What was the total cost of the 8 kg of grapes at 75 per kg and 9 kg of mangoes at 55 per kg that Harkamal purchased
|
harkamal purchased 8 kg of grapes at the rate of 75 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?
|
if the side length of square b is sqrt ( 5 ) times that of square a , the area of square b is how many times the area of square a ?
|
[
{
"content": "if the side length of square b is sqrt ( 5 ) times that of square a , the area of square b is how many times the area of square a ?",
"role": "user"
},
{
"content": "What is the ratio of the area of square B to the area of square A if the side length of square B is sqrt(5) times the side length of square A?",
"role": "assistant"
}
] |
What is the ratio of the area of square B to the area of square A if the side length of square B is sqrt(5) times the side length of square A?
|
if the side length of square b is sqrt ( 5 ) times that of square a , the area of square b is how many times the area of square a ?
|
a certain quantity of 50 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ?
|
[
{
"content": "a certain quantity of 50 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ?",
"role": "user"
},
{
"content": "What fraction of the original solution was replaced with a 25% solution to achieve a 35% concentration, given that it was initially 50%?",
"role": "assistant"
}
] |
What fraction of the original solution was replaced with a 25% solution to achieve a 35% concentration, given that it was initially 50%?
|
a certain quantity of 50 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ?
|
a customer bought a product at the shop . however , the shopkeeper increased the price of the product by 20 % so that the customer could not buy the required amount of the product . the customer managed to buy only 80 % of the required amount . what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase ?
|
[
{
"content": "a customer bought a product at the shop . however , the shopkeeper increased the price of the product by 20 % so that the customer could not buy the required amount of the product . the customer managed to buy only 80 % of the required amount . what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase ?",
"role": "user"
},
{
"content": "What is the difference in the cost of the two purchases made by the customer due to the price increase?",
"role": "assistant"
}
] |
What is the difference in the cost of the two purchases made by the customer due to the price increase?
|
a customer bought a product at the shop . however , the shopkeeper increased the price of the product by 20 % so that the customer could not buy the required amount of the product . the customer managed to buy only 80 % of the required amount . what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase ?
|
there is a lot of speculation that the economy of a country depends on how fast people spend their money in addition to how much they save . auggie was very curious to test this theory . auggie spent all of his money in 5 stores . in each store , he spent rs . 4 more than one - half of what he had when he went in . how many rupees did auggie have when he entered the first store ?
|
[
{
"content": "there is a lot of speculation that the economy of a country depends on how fast people spend their money in addition to how much they save . auggie was very curious to test this theory . auggie spent all of his money in 5 stores . in each store , he spent rs . 4 more than one - half of what he had when he went in . how many rupees did auggie have when he entered the first store ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text:\n\nThere is much speculation that a nation's economy is influenced by both the rate at which people spend their money and their savings rate. Auggie was curious to test this hypothesis. He spent all his money in 5 stores, each time spending Rs. 4 more than half of his remaining money. What was the amount of money Auggie had when he first entered the store?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text:
There is much speculation that a nation's economy is influenced by both the rate at which people spend their money and their savings rate. Auggie was curious to test this hypothesis. He spent all his money in 5 stores, each time spending Rs. 4 more than half of his remaining money. What was the amount of money Auggie had when he first entered the store?
|
there is a lot of speculation that the economy of a country depends on how fast people spend their money in addition to how much they save . auggie was very curious to test this theory . auggie spent all of his money in 5 stores . in each store , he spent rs . 4 more than one - half of what he had when he went in . how many rupees did auggie have when he entered the first store ?
|
an artist wishes to paint a circular region on a square poster that is 2.4 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ?
|
[
{
"content": "an artist wishes to paint a circular region on a square poster that is 2.4 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ?",
"role": "user"
},
{
"content": "What must be the radius of a circular region on a 2.4-foot square poster so that its area is half the poster's area?",
"role": "assistant"
}
] |
What must be the radius of a circular region on a 2.4-foot square poster so that its area is half the poster's area?
|
an artist wishes to paint a circular region on a square poster that is 2.4 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ?
|
5359 x 51 = ?
|
[
{
"content": "5359 x 51 = ?",
"role": "user"
},
{
"content": "What is 5359 multiplied by 51?",
"role": "assistant"
}
] |
What is 5359 multiplied by 51?
|
5359 x 51 = ?
|
3 people are planning to share equally the cost of a rental car . if one person withdraws from the arrangement and the others share equally the entire cost of the car , then the share of each of the remaining persons increased by :
|
[
{
"content": "3 people are planning to share equally the cost of a rental car . if one person withdraws from the arrangement and the others share equally the entire cost of the car , then the share of each of the remaining persons increased by :",
"role": "user"
},
{
"content": "If 3 people plan to split a rental car cost equally, but one person drops out and the others split the cost equally, what is the increase in the share of each remaining person?",
"role": "assistant"
}
] |
If 3 people plan to split a rental car cost equally, but one person drops out and the others split the cost equally, what is the increase in the share of each remaining person?
|
3 people are planning to share equally the cost of a rental car . if one person withdraws from the arrangement and the others share equally the entire cost of the car , then the share of each of the remaining persons increased by :
|
two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively . in how much time will they cross each other , if they are running in the same direction ?
|
[
{
"content": "two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively . in how much time will they cross each other , if they are running in the same direction ?",
"role": "user"
},
{
"content": "What is the time taken for two 200m and 150m long trains running in the same direction on parallel tracks at 40km/h and 45km/h to cross each other ?",
"role": "assistant"
}
] |
What is the time taken for two 200m and 150m long trains running in the same direction on parallel tracks at 40km/h and 45km/h to cross each other ?
|
two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively . in how much time will they cross each other , if they are running in the same direction ?
|
a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 35 . find the profit percentage ?
|
[
{
"content": "a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 35 . find the profit percentage ?",
"role": "user"
},
{
"content": "What is the profit percentage when a dealer buys 15 items for Rs. 25 and sells 12 items for Rs. 35?",
"role": "assistant"
}
] |
What is the profit percentage when a dealer buys 15 items for Rs. 25 and sells 12 items for Rs. 35?
|
a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 35 . find the profit percentage ?
|
how many 1 / 8 s are there in 37 1 / 2 ?
|
[
{
"content": "how many 1 / 8 s are there in 37 1 / 2 ?",
"role": "user"
},
{
"content": "How many 1/8's are contained in 37 1/2?",
"role": "assistant"
}
] |
How many 1/8's are contained in 37 1/2?
|
how many 1 / 8 s are there in 37 1 / 2 ?
|
pipe p can drain the liquid from a tank in 2 / 4 the time that it takes pipe q to drain it and in 2 / 3 the time that it takes pipe r to do it . if all 3 pipes operating simultaneously but independently are used to drain liquid from the tank , then pipe q drains what portion of the liquid from the tank ?
|
[
{
"content": "pipe p can drain the liquid from a tank in 2 / 4 the time that it takes pipe q to drain it and in 2 / 3 the time that it takes pipe r to do it . if all 3 pipes operating simultaneously but independently are used to drain liquid from the tank , then pipe q drains what portion of the liquid from the tank ?",
"role": "user"
},
{
"content": "What fraction of the liquid from the tank is drained by pipe q when all three pipes are used simultaneously but independently ?",
"role": "assistant"
}
] |
What fraction of the liquid from the tank is drained by pipe q when all three pipes are used simultaneously but independently ?
|
pipe p can drain the liquid from a tank in 2 / 4 the time that it takes pipe q to drain it and in 2 / 3 the time that it takes pipe r to do it . if all 3 pipes operating simultaneously but independently are used to drain liquid from the tank , then pipe q drains what portion of the liquid from the tank ?
|
in triangle pqr , the angle q = 90 degree , pq = 5 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz
|
[
{
"content": "in triangle pqr , the angle q = 90 degree , pq = 5 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz",
"role": "user"
},
{
"content": "In triangle PQR with a right angle at Q, PQ = 5 cm, and QR = 8 cm, a point X on PQ is chosen. A line through X parallel to QR intersects PR at Y, and a line through Y parallel to PQ intersects QR at Z. What is the minimum length of XZ?",
"role": "assistant"
}
] |
In triangle PQR with a right angle at Q, PQ = 5 cm, and QR = 8 cm, a point X on PQ is chosen. A line through X parallel to QR intersects PR at Y, and a line through Y parallel to PQ intersects QR at Z. What is the minimum length of XZ?
|
in triangle pqr , the angle q = 90 degree , pq = 5 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz
|
the average runs of a cricket player of 10 innings was 20 . how many runs must he make in his next innings so as to increase his average of runs by 4 ?
|
[
{
"content": "the average runs of a cricket player of 10 innings was 20 . how many runs must he make in his next innings so as to increase his average of runs by 4 ?",
"role": "user"
},
{
"content": "To increase his average by 4 runs, what total should the cricket player score in his next innings, given he has averaged 20 runs across 10 innings?",
"role": "assistant"
}
] |
To increase his average by 4 runs, what total should the cricket player score in his next innings, given he has averaged 20 runs across 10 innings?
|
the average runs of a cricket player of 10 innings was 20 . how many runs must he make in his next innings so as to increase his average of runs by 4 ?
|
a , b and c start a business each investing 20,000 . after 10 months a withdrew 5000 , b withdrew 4000 and c invests 6000 more . at the end of the year , a total profit of 71400 was recorded . find the share of b .
|
[
{
"content": "a , b and c start a business each investing 20,000 . after 10 months a withdrew 5000 , b withdrew 4000 and c invests 6000 more . at the end of the year , a total profit of 71400 was recorded . find the share of b .",
"role": "user"
},
{
"content": "What is B's share of the total profit of 71,400 at the end of the year, given A, B, and C each initially invested 20,000, then A withdrew 5,000, B withdrew 4,000, and C added 6,000 after 10 months?",
"role": "assistant"
}
] |
What is B's share of the total profit of 71,400 at the end of the year, given A, B, and C each initially invested 20,000, then A withdrew 5,000, B withdrew 4,000, and C added 6,000 after 10 months?
|
a , b and c start a business each investing 20,000 . after 10 months a withdrew 5000 , b withdrew 4000 and c invests 6000 more . at the end of the year , a total profit of 71400 was recorded . find the share of b .
|
the sum of the even numbers between 1 and k is 79 * 80 , where k is an odd number , then k =
|
[
{
"content": "the sum of the even numbers between 1 and k is 79 * 80 , where k is an odd number , then k =",
"role": "user"
},
{
"content": "If the sum of the even numbers between 1 and k equals 79 * 80, and k is an odd number, what is the value of k?",
"role": "assistant"
}
] |
If the sum of the even numbers between 1 and k equals 79 * 80, and k is an odd number, what is the value of k?
|
the sum of the even numbers between 1 and k is 79 * 80 , where k is an odd number , then k =
|
how long does a train 125 m long running at the speed of 78 km / hr takes to cross a bridge 125 m length ?
|
[
{
"content": "how long does a train 125 m long running at the speed of 78 km / hr takes to cross a bridge 125 m length ?",
"role": "user"
},
{
"content": "What is the time taken by a 125m long train, traveling at 78 km/hr, to cross a 125m long bridge?",
"role": "assistant"
}
] |
What is the time taken by a 125m long train, traveling at 78 km/hr, to cross a 125m long bridge?
|
how long does a train 125 m long running at the speed of 78 km / hr takes to cross a bridge 125 m length ?
|
ele , the circus elephant , is currently 3 times older than lyn , the circus lion . in 15 years from now , lyn the circus lion will be exactly half as old as ele , the circus elephant . how old is ele today ?
|
[
{
"content": "ele , the circus elephant , is currently 3 times older than lyn , the circus lion . in 15 years from now , lyn the circus lion will be exactly half as old as ele , the circus elephant . how old is ele today ?",
"role": "user"
},
{
"content": "What is the current age of ele, the circus elephant?",
"role": "assistant"
}
] |
What is the current age of ele, the circus elephant?
|
ele , the circus elephant , is currently 3 times older than lyn , the circus lion . in 15 years from now , lyn the circus lion will be exactly half as old as ele , the circus elephant . how old is ele today ?
|
a man is 30 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is
|
[
{
"content": "a man is 30 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is",
"role": "user"
},
{
"content": "The son's current age is",
"role": "assistant"
}
] |
The son's current age is
|
a man is 30 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is
|
lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 94,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is :
|
[
{
"content": "lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 94,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is :",
"role": "user"
},
{
"content": "What is the percentage of Mutter's total land to the village's total taxable land",
"role": "assistant"
}
] |
What is the percentage of Mutter's total land to the village's total taxable land
|
lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 94,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is :
|
the length of the bridge , which a train 110 meters long and travelling at 45 km / hr can cross in 30 seconds , is :
|
[
{
"content": "the length of the bridge , which a train 110 meters long and travelling at 45 km / hr can cross in 30 seconds , is :",
"role": "user"
},
{
"content": "What is the length of the bridge that a 110-meter-long train travelling at 45 km/hr can cross in 30 seconds?",
"role": "assistant"
}
] |
What is the length of the bridge that a 110-meter-long train travelling at 45 km/hr can cross in 30 seconds?
|
the length of the bridge , which a train 110 meters long and travelling at 45 km / hr can cross in 30 seconds , is :
|
cole drove from home to work at an average speed of 60 kmh . he then returned home at an average speed of 100 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ?
|
[
{
"content": "cole drove from home to work at an average speed of 60 kmh . he then returned home at an average speed of 100 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nIf Cole's round trip took 2 hours, with an average speed of 60 km/h to work and 100 km/h back home, how long did his commute to work take in minutes?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
If Cole's round trip took 2 hours, with an average speed of 60 km/h to work and 100 km/h back home, how long did his commute to work take in minutes?
|
cole drove from home to work at an average speed of 60 kmh . he then returned home at an average speed of 100 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ?
|
if the radius of a circle is decreased 50 % , what happens to the area ?
|
[
{
"content": "if the radius of a circle is decreased 50 % , what happens to the area ?",
"role": "user"
},
{
"content": "What effect does a 50% reduction in the radius have on a circle's area ?",
"role": "assistant"
}
] |
What effect does a 50% reduction in the radius have on a circle's area ?
|
if the radius of a circle is decreased 50 % , what happens to the area ?
|
sakshi can do a piece of work in 30 days . tanya is 25 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work :
|
[
{
"content": "sakshi can do a piece of work in 30 days . tanya is 25 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work :",
"role": "user"
},
{
"content": "How many days will Tanya take to complete the work if she is 25% more efficient than Sakshi, who takes 30 days to complete it.",
"role": "assistant"
}
] |
How many days will Tanya take to complete the work if she is 25% more efficient than Sakshi, who takes 30 days to complete it.
|
sakshi can do a piece of work in 30 days . tanya is 25 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work :
|
what is the greatest prime factor of 3 ^ 8 - 1 ?
|
[
{
"content": "what is the greatest prime factor of 3 ^ 8 - 1 ?",
"role": "user"
},
{
"content": "What is the largest prime factor of 3^8 minus 1 ?",
"role": "assistant"
}
] |
What is the largest prime factor of 3^8 minus 1 ?
|
what is the greatest prime factor of 3 ^ 8 - 1 ?
|
calculate the ratio between x and y if 90 % of x equal to 60 % of y ?
|
[
{
"content": "calculate the ratio between x and y if 90 % of x equal to 60 % of y ?",
"role": "user"
},
{
"content": "What is the ratio of x to y if 90% of x is equivalent to 60% of y?",
"role": "assistant"
}
] |
What is the ratio of x to y if 90% of x is equivalent to 60% of y?
|
calculate the ratio between x and y if 90 % of x equal to 60 % of y ?
|
find the area of the quadrilateral of one of its diagonals is 50 cm and its off sets 15 cm and 5 cm ?
|
[
{
"content": "find the area of the quadrilateral of one of its diagonals is 50 cm and its off sets 15 cm and 5 cm ?",
"role": "user"
},
{
"content": "What is the area of the quadrilateral with a diagonal of 50 cm and offsets of 15 cm and 5 cm?",
"role": "assistant"
}
] |
What is the area of the quadrilateral with a diagonal of 50 cm and offsets of 15 cm and 5 cm?
|
find the area of the quadrilateral of one of its diagonals is 50 cm and its off sets 15 cm and 5 cm ?
|
a train 1200 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 ?
|
[
{
"content": "a train 1200 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 ?",
"role": "user"
},
{
"content": "What is the length of the tunnel that a 1200 m long train crosses in 1 minute at a speed of 78 km/hr?",
"role": "assistant"
}
] |
What is the length of the tunnel that a 1200 m long train crosses in 1 minute at a speed of 78 km/hr?
|
a train 1200 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 ?
|
the average of first five prime numbers greater than 5 is ?
|
[
{
"content": "the average of first five prime numbers greater than 5 is ?",
"role": "user"
},
{
"content": "What is the average of the first five prime numbers greater than 5?",
"role": "assistant"
}
] |
What is the average of the first five prime numbers greater than 5?
|
the average of first five prime numbers greater than 5 is ?
|
a right circular cone is exactly fitted inside a cube in such away that the edges of the base of the cone are touching the edges of one of the faces of the cube and the vertex is on the opposite face of the cube . if the volume of the cube is 343 cc , what approximately is the volume of the cone ?
|
[
{
"content": "a right circular cone is exactly fitted inside a cube in such away that the edges of the base of the cone are touching the edges of one of the faces of the cube and the vertex is on the opposite face of the cube . if the volume of the cube is 343 cc , what approximately is the volume of the cone ?",
"role": "user"
},
{
"content": "What is the approximate volume of a right circular cone inscribed in a cube with a volume of 343 cc, where the cone's base edges touch the cube's face edges and its vertex touches the opposite face?",
"role": "assistant"
}
] |
What is the approximate volume of a right circular cone inscribed in a cube with a volume of 343 cc, where the cone's base edges touch the cube's face edges and its vertex touches the opposite face?
|
a right circular cone is exactly fitted inside a cube in such away that the edges of the base of the cone are touching the edges of one of the faces of the cube and the vertex is on the opposite face of the cube . if the volume of the cube is 343 cc , what approximately is the volume of the cone ?
|
if the given two numbers are respectively 7 % and 28 % of a third number , then what percentage is the first of the second ?
|
[
{
"content": "if the given two numbers are respectively 7 % and 28 % of a third number , then what percentage is the first of the second ?",
"role": "user"
},
{
"content": "What percentage of the second number is the first, given that they represent 7% and 28% of a third number respectively?",
"role": "assistant"
}
] |
What percentage of the second number is the first, given that they represent 7% and 28% of a third number respectively?
|
if the given two numbers are respectively 7 % and 28 % of a third number , then what percentage is the first of the second ?
|
a pupil ' s marks were wrongly entered as 83 instead of 53 . due to the average marks for the class got increased by half . the number of pupils in the class is ?
|
[
{
"content": "a pupil ' s marks were wrongly entered as 83 instead of 53 . due to the average marks for the class got increased by half . the number of pupils in the class is ?",
"role": "user"
},
{
"content": "What is the number of students in the class where the average increased by half due to an incorrect mark entry of 83 instead of 53.",
"role": "assistant"
}
] |
What is the number of students in the class where the average increased by half due to an incorrect mark entry of 83 instead of 53.
|
a pupil ' s marks were wrongly entered as 83 instead of 53 . due to the average marks for the class got increased by half . the number of pupils in the class is ?
|
the area of a rhombus is equal to the area of a rectangle whose length is 20 cm and the breadth is 10 cm . if one of the diagonals is 32 cm what is the length of other diagonal ?
|
[
{
"content": "the area of a rhombus is equal to the area of a rectangle whose length is 20 cm and the breadth is 10 cm . if one of the diagonals is 32 cm what is the length of other diagonal ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the given text:\n\nWhat is the length of the other diagonal of a rhombus with an area equal to a 20 cm by 10 cm rectangle, given that one diagonal is 32 cm?",
"role": "assistant"
}
] |
Here's a paraphrased version of the given text:
What is the length of the other diagonal of a rhombus with an area equal to a 20 cm by 10 cm rectangle, given that one diagonal is 32 cm?
|
the area of a rhombus is equal to the area of a rectangle whose length is 20 cm and the breadth is 10 cm . if one of the diagonals is 32 cm what is the length of other diagonal ?
|
if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2160 less than the principal . what was the principal ?
|
[
{
"content": "if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2160 less than the principal . what was the principal ?",
"role": "user"
},
{
"content": "What was the principal amount if the simple interest earned at a 4% rate over 5 years was Rs. 2160 less than the principal?",
"role": "assistant"
}
] |
What was the principal amount if the simple interest earned at a 4% rate over 5 years was Rs. 2160 less than the principal?
|
if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2160 less than the principal . what was the principal ?
|
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 948 in total compensation , how many total hours did he work that week ?
|
[
{
"content": "a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 948 in total compensation , how many total hours did he work that week ?",
"role": "user"
},
{
"content": "How many hours did the bus driver work last week to earn $948, given a regular rate of $16 per hour for up to 40 hours and a 75% higher rate for overtime hours?",
"role": "assistant"
}
] |
How many hours did the bus driver work last week to earn $948, given a regular rate of $16 per hour for up to 40 hours and a 75% higher rate for overtime hours?
|
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 948 in total compensation , how many total hours did he work that week ?
|
a line has a slope of 3 / 4 and intersects the point w ( - 12 , - 39 ) . at which point does this line intersect the x - axis ?
|
[
{
"content": "a line has a slope of 3 / 4 and intersects the point w ( - 12 , - 39 ) . at which point does this line intersect the x - axis ?",
"role": "user"
},
{
"content": "At what point does a line with a slope of 3/4 and passing through (-12, -39) intersect the x-axis?",
"role": "assistant"
}
] |
At what point does a line with a slope of 3/4 and passing through (-12, -39) intersect the x-axis?
|
a line has a slope of 3 / 4 and intersects the point w ( - 12 , - 39 ) . at which point does this line intersect the x - axis ?
|
a salesman commission is 5 % on all sales upto $ 10000 and 4 % on all sales exceeding this . he remits $ 31100 to his parent company after deducting his commission . find the total sales ?
|
[
{
"content": "a salesman commission is 5 % on all sales upto $ 10000 and 4 % on all sales exceeding this . he remits $ 31100 to his parent company after deducting his commission . find the total sales ?",
"role": "user"
},
{
"content": "What are the total sales if a salesman earns a 5% commission on the first $10,000 and 4% on sales above that, and he remits $31,100 to the parent company after deducting his commission?",
"role": "assistant"
}
] |
What are the total sales if a salesman earns a 5% commission on the first $10,000 and 4% on sales above that, and he remits $31,100 to the parent company after deducting his commission?
|
a salesman commission is 5 % on all sales upto $ 10000 and 4 % on all sales exceeding this . he remits $ 31100 to his parent company after deducting his commission . find the total sales ?
|
how much 60 % of 50 is greater than 34 % of 30 ?
|
[
{
"content": "how much 60 % of 50 is greater than 34 % of 30 ?",
"role": "user"
},
{
"content": "What is the difference between 60% of 50 and 34% of 30?",
"role": "assistant"
}
] |
What is the difference between 60% of 50 and 34% of 30?
|
how much 60 % of 50 is greater than 34 % of 30 ?
|
a man can row 5 kmph in still water . when the river is running at 2 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?
|
[
{
"content": "a man can row 5 kmph in still water . when the river is running at 2 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?",
"role": "user"
},
{
"content": "A man rows at 5 kmph in still water. With the river flowing at 2 kmph, he takes 1 hour to row to a place and back. What's the total distance covered by the man?",
"role": "assistant"
}
] |
A man rows at 5 kmph in still water. With the river flowing at 2 kmph, he takes 1 hour to row to a place and back. What's the total distance covered by the man?
|
a man can row 5 kmph in still water . when the river is running at 2 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?
|
how long does a truck of 200 m long traveling at 60 kmph takes to cross a bridge of 180 m in length ?
|
[
{
"content": "how long does a truck of 200 m long traveling at 60 kmph takes to cross a bridge of 180 m in length ?",
"role": "user"
},
{
"content": "What's the time taken by a 200 m long truck moving at 60 kmph to cross a 180 m long bridge?",
"role": "assistant"
}
] |
What's the time taken by a 200 m long truck moving at 60 kmph to cross a 180 m long bridge?
|
how long does a truck of 200 m long traveling at 60 kmph takes to cross a bridge of 180 m in length ?
|
difference between the length & breadth of a rectangle is 10 m . if its perimeter is 206 m , then its area is ?
|
[
{
"content": "difference between the length & breadth of a rectangle is 10 m . if its perimeter is 206 m , then its area is ?",
"role": "user"
},
{
"content": "What is the area of a rectangle with a perimeter of 206m and a difference of 10m between its length and breadth?",
"role": "assistant"
}
] |
What is the area of a rectangle with a perimeter of 206m and a difference of 10m between its length and breadth?
|
difference between the length & breadth of a rectangle is 10 m . if its perimeter is 206 m , then its area is ?
|
1370 , 1320 , x , - 180 , - 6430
|
[
{
"content": "1370 , 1320 , x , - 180 , - 6430",
"role": "user"
},
{
"content": "What comes next in the sequence: 1370, 1320, x, -180, -6430",
"role": "assistant"
}
] |
What comes next in the sequence: 1370, 1320, x, -180, -6430
|
1370 , 1320 , x , - 180 , - 6430
|
machine x takes 50 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce
|
[
{
"content": "machine x takes 50 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce",
"role": "user"
},
{
"content": "Machine X takes 50 hours longer than Machine Y to produce 1080 widgets. Machine Y produces 20% more widgets per hour than Machine X. What is the hourly production of Machine X in terms of widgets?",
"role": "assistant"
}
] |
Machine X takes 50 hours longer than Machine Y to produce 1080 widgets. Machine Y produces 20% more widgets per hour than Machine X. What is the hourly production of Machine X in terms of widgets?
|
machine x takes 50 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce
|
for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.999 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ?
|
[
{
"content": "for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.999 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ?",
"role": "user"
},
{
"content": "For any positive number x, what is the units digit of k^3 / 4000, where k is a positive integer such that k^2 is divisible by both 45 and 80, denoted as [x] the greatest integer less than or equal to x?",
"role": "assistant"
}
] |
For any positive number x, what is the units digit of k^3 / 4000, where k is a positive integer such that k^2 is divisible by both 45 and 80, denoted as [x] the greatest integer less than or equal to x?
|
for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.999 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ?
|
paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 40 % of his income to sam and 60 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ?
|
[
{
"content": "paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 40 % of his income to sam and 60 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ?",
"role": "user"
},
{
"content": "What fraction of sam ' s new income would quentin ' s new income be if rex gave 40 % of his income to sam and 60 % to quentin ?",
"role": "assistant"
}
] |
What fraction of sam ' s new income would quentin ' s new income be if rex gave 40 % of his income to sam and 60 % to quentin ?
|
paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 40 % of his income to sam and 60 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ?
|
if p / q = 3 / 7 , then 2 p + q = ?
|
[
{
"content": "if p / q = 3 / 7 , then 2 p + q = ?",
"role": "user"
},
{
"content": "If p/q = 3/7, then what is 2p + q?",
"role": "assistant"
}
] |
If p/q = 3/7, then what is 2p + q?
|
if p / q = 3 / 7 , then 2 p + q = ?
|
in a box of 9 pens , a total of 2 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ?
|
[
{
"content": "in a box of 9 pens , a total of 2 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ?",
"role": "user"
},
{
"content": "What's the probability of choosing 2 non-defective pens from a box of 9 pens, 2 of which are defective, when 2 pens are selected at random?",
"role": "assistant"
}
] |
What's the probability of choosing 2 non-defective pens from a box of 9 pens, 2 of which are defective, when 2 pens are selected at random?
|
in a box of 9 pens , a total of 2 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ?
|
sum of two numbers is 63 . their difference is 1 / 8 of their sum . their l . c . m is
|
[
{
"content": "sum of two numbers is 63 . their difference is 1 / 8 of their sum . their l . c . m is",
"role": "user"
},
{
"content": "The sum of two numbers is 63, and their difference is 1/8 of their sum; what is their LCM?",
"role": "assistant"
}
] |
The sum of two numbers is 63, and their difference is 1/8 of their sum; what is their LCM?
|
sum of two numbers is 63 . their difference is 1 / 8 of their sum . their l . c . m is
|
if 36 men can do a piece of work in 25 hours , in how mwny hours will 15 men do it ?
|
[
{
"content": "if 36 men can do a piece of work in 25 hours , in how mwny hours will 15 men do it ?",
"role": "user"
},
{
"content": "How many hours will it take for 15 men to complete the work if 36 men can do it in 25 hours?",
"role": "assistant"
}
] |
How many hours will it take for 15 men to complete the work if 36 men can do it in 25 hours?
|
if 36 men can do a piece of work in 25 hours , in how mwny hours will 15 men do it ?
|
the population of a town increased from 1 , 75,000 to 2 , 62,500 in a decade . the average percent increase of population per year is :
|
[
{
"content": "the population of a town increased from 1 , 75,000 to 2 , 62,500 in a decade . the average percent increase of population per year is :",
"role": "user"
},
{
"content": "What is the average annual percentage increase in population, given that the town's population grew from 1,75,000 to 2,62,500 in ten years",
"role": "assistant"
}
] |
What is the average annual percentage increase in population, given that the town's population grew from 1,75,000 to 2,62,500 in ten years
|
the population of a town increased from 1 , 75,000 to 2 , 62,500 in a decade . the average percent increase of population per year is :
|
last year the price range ( per kg ) for 100 varieties of apples in wholesale market was $ 100 . if the prices of each of the 100 varieties increased by 10 percent this year over what it was last year , what is the range of the wholesale prices of the 1000 varieties of apples this year ?
|
[
{
"content": "last year the price range ( per kg ) for 100 varieties of apples in wholesale market was $ 100 . if the prices of each of the 100 varieties increased by 10 percent this year over what it was last year , what is the range of the wholesale prices of the 1000 varieties of apples this year ?",
"role": "user"
},
{
"content": "If the wholesale prices of all 100 varieties of apples increased by 10% this year compared to last year's range of $100 per kg, what is the new price range for the 100 varieties this year?",
"role": "assistant"
}
] |
If the wholesale prices of all 100 varieties of apples increased by 10% this year compared to last year's range of $100 per kg, what is the new price range for the 100 varieties this year?
|
last year the price range ( per kg ) for 100 varieties of apples in wholesale market was $ 100 . if the prices of each of the 100 varieties increased by 10 percent this year over what it was last year , what is the range of the wholesale prices of the 1000 varieties of apples this year ?
|
the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?
|
[
{
"content": "the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?",
"role": "user"
},
{
"content": "At what price would the article need to be sold in order to earn a 25% profit, given that selling it for Rs. 1920 yields the same percentage profit as selling it for Rs. 1280 results in a percentage loss.",
"role": "assistant"
}
] |
At what price would the article need to be sold in order to earn a 25% profit, given that selling it for Rs. 1920 yields the same percentage profit as selling it for Rs. 1280 results in a percentage loss.
|
the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?
|
the tailor has a 10 meter long piece of fabric for which to sew a ball room dress . she has to cuts this fabric into strips of 200 centimeters each . how long will it take the tailor to complete this tasks if each 200 centimeter took 5 minutes to cut ?
|
[
{
"content": "the tailor has a 10 meter long piece of fabric for which to sew a ball room dress . she has to cuts this fabric into strips of 200 centimeters each . how long will it take the tailor to complete this tasks if each 200 centimeter took 5 minutes to cut ?",
"role": "user"
},
{
"content": "How many minutes will the tailor need to cut the 10-meter fabric into 200-centimeter strips, if each strip takes 5 minutes to cut?",
"role": "assistant"
}
] |
How many minutes will the tailor need to cut the 10-meter fabric into 200-centimeter strips, if each strip takes 5 minutes to cut?
|
the tailor has a 10 meter long piece of fabric for which to sew a ball room dress . she has to cuts this fabric into strips of 200 centimeters each . how long will it take the tailor to complete this tasks if each 200 centimeter took 5 minutes to cut ?
|
find 60 / 42 * 4
|
[
{
"content": "find 60 / 42 * 4",
"role": "user"
},
{
"content": "Calculate 60 divided by 42 then multiplied by 4.",
"role": "assistant"
}
] |
Calculate 60 divided by 42 then multiplied by 4.
|
find 60 / 42 * 4
|
find the average of all prime numbers between 30 and 50 ?
|
[
{
"content": "find the average of all prime numbers between 30 and 50 ?",
"role": "user"
},
{
"content": "What is the mean of prime numbers between 30 and 50?",
"role": "assistant"
}
] |
What is the mean of prime numbers between 30 and 50?
|
find the average of all prime numbers between 30 and 50 ?
|
in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 4720 votes were polled , then how many valid votes did b get ?
|
[
{
"content": "in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 4720 votes were polled , then how many valid votes did b get ?",
"role": "user"
},
{
"content": "In an election between two candidates, A and B, A received 15% more valid votes than B. If 20% of the 4720 votes cast were invalid, how many valid votes did B receive?",
"role": "assistant"
}
] |
In an election between two candidates, A and B, A received 15% more valid votes than B. If 20% of the 4720 votes cast were invalid, how many valid votes did B receive?
|
in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 4720 votes were polled , then how many valid votes did b get ?
|
if $ 1088 are divided between worker a and worker b in the ratio 5 : 11 , what is the share that worker b will get ?
|
[
{
"content": "if $ 1088 are divided between worker a and worker b in the ratio 5 : 11 , what is the share that worker b will get ?",
"role": "user"
},
{
"content": "What share will worker B receive if $1088 is divided between worker A and worker B in a 5:11 ratio ?",
"role": "assistant"
}
] |
What share will worker B receive if $1088 is divided between worker A and worker B in a 5:11 ratio ?
|
if $ 1088 are divided between worker a and worker b in the ratio 5 : 11 , what is the share that worker b will get ?
|
the average age of 6 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years . find the average age of the women ?
|
[
{
"content": "the average age of 6 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years . find the average age of the women ?",
"role": "user"
},
{
"content": "What is the average age of the two women when they replace the two men aged 20 and 24 years, causing the average age of the group of 6 to increase by 2 years?",
"role": "assistant"
}
] |
What is the average age of the two women when they replace the two men aged 20 and 24 years, causing the average age of the group of 6 to increase by 2 years?
|
the average age of 6 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years . find the average age of the women ?
|
operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 4 , when a # b = 100 ?
|
[
{
"content": "operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 4 , when a # b = 100 ?",
"role": "user"
},
{
"content": "What is the value of ( a + b ) + 4 , when 4 a ^ 2 + 4 b ^ 2 + 8 ab = 100 ?",
"role": "assistant"
}
] |
What is the value of ( a + b ) + 4 , when 4 a ^ 2 + 4 b ^ 2 + 8 ab = 100 ?
|
operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 4 , when a # b = 100 ?
|
the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of $ 500 per sq . metre .
|
[
{
"content": "the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of $ 500 per sq . metre .",
"role": "user"
},
{
"content": "What is the cost of flooring the room with slabs at $500 per square meter, given the room's dimensions are 5.5 meters by 3.75 meters?",
"role": "assistant"
}
] |
What is the cost of flooring the room with slabs at $500 per square meter, given the room's dimensions are 5.5 meters by 3.75 meters?
|
the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of $ 500 per sq . metre .
|
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 10 sq . feet , how many feet of fencing will be required ?
|
[
{
"content": "a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 10 sq . feet , how many feet of fencing will be required ?",
"role": "user"
},
{
"content": "What length of fencing is needed to enclose three sides of a rectangular field with an area of 10 sq. feet and one 20-foot side left unfenced?",
"role": "assistant"
}
] |
What length of fencing is needed to enclose three sides of a rectangular field with an area of 10 sq. feet and one 20-foot side left unfenced?
|
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 10 sq . feet , how many feet of fencing will be required ?
|
each of 3 investments has a 20 % of becoming worthless within a year of purchase , independently of what happens to the other two investments . if simone invests an equal sum k in each of these 3 investments on january 1 , the approximate chance that by the end of the year , she loses no more than 1 / 3 of her original investment is
|
[
{
"content": "each of 3 investments has a 20 % of becoming worthless within a year of purchase , independently of what happens to the other two investments . if simone invests an equal sum k in each of these 3 investments on january 1 , the approximate chance that by the end of the year , she loses no more than 1 / 3 of her original investment is",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text:\n\nEach of the three investments carries a 20% risk of becoming worthless within a year of purchase, regardless of the performance of the other two. If Simone invests an equal amount, k, in each of these three investments on January 1, what is the approximate probability that by year-end, she will lose no more than one-third of her initial investment?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text:
Each of the three investments carries a 20% risk of becoming worthless within a year of purchase, regardless of the performance of the other two. If Simone invests an equal amount, k, in each of these three investments on January 1, what is the approximate probability that by year-end, she will lose no more than one-third of her initial investment?
|
each of 3 investments has a 20 % of becoming worthless within a year of purchase , independently of what happens to the other two investments . if simone invests an equal sum k in each of these 3 investments on january 1 , the approximate chance that by the end of the year , she loses no more than 1 / 3 of her original investment is
|
how many positive integers less than 250 are multiple of 4 but not multiples of 6 ?
|
[
{
"content": "how many positive integers less than 250 are multiple of 4 but not multiples of 6 ?",
"role": "user"
},
{
"content": "What is the number of positive integers less than 250 that are divisible by 4 but not by 6?",
"role": "assistant"
}
] |
What is the number of positive integers less than 250 that are divisible by 4 but not by 6?
|
how many positive integers less than 250 are multiple of 4 but not multiples of 6 ?
|
a ferry can transport 50 tons of vehicles . automobiles range in weight from 1,600 to 3,200 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ?
|
[
{
"content": "a ferry can transport 50 tons of vehicles . automobiles range in weight from 1,600 to 3,200 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ?",
"role": "user"
},
{
"content": "What is the maximum number of automobiles that can be loaded onto the ferry, given that it can transport 50 tons of vehicles and automobiles weigh between 1,600 and 3,200 pounds?",
"role": "assistant"
}
] |
What is the maximum number of automobiles that can be loaded onto the ferry, given that it can transport 50 tons of vehicles and automobiles weigh between 1,600 and 3,200 pounds?
|
a ferry can transport 50 tons of vehicles . automobiles range in weight from 1,600 to 3,200 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ?
|
what is the ratio between perimeters of two squares one having 8 times the diagonal then the other ?
|
[
{
"content": "what is the ratio between perimeters of two squares one having 8 times the diagonal then the other ?",
"role": "user"
},
{
"content": "What is the ratio of the perimeters of two squares, one of which has a diagonal 8 times longer than the other?",
"role": "assistant"
}
] |
What is the ratio of the perimeters of two squares, one of which has a diagonal 8 times longer than the other?
|
what is the ratio between perimeters of two squares one having 8 times the diagonal then the other ?
|
a bank pays interest to its customers on the last day of the year . the interest paid to a customer is calculated as 10 % of the average monthly balance maintained by the customer . john is a customer at the bank . on the last day , when the interest was accumulated into his account , his bank balance doubled to $ 5080 . what is the average monthly balance maintained by john in his account during the year ?
|
[
{
"content": "a bank pays interest to its customers on the last day of the year . the interest paid to a customer is calculated as 10 % of the average monthly balance maintained by the customer . john is a customer at the bank . on the last day , when the interest was accumulated into his account , his bank balance doubled to $ 5080 . what is the average monthly balance maintained by john in his account during the year ?",
"role": "user"
},
{
"content": "On the last day of the year, a bank pays interest to its customers. The interest is calculated as 10% of the customer's average monthly balance. John, a bank customer, had his account balance doubled to $5080 after the interest was added. What was John's average monthly balance in his account that year?",
"role": "assistant"
}
] |
On the last day of the year, a bank pays interest to its customers. The interest is calculated as 10% of the customer's average monthly balance. John, a bank customer, had his account balance doubled to $5080 after the interest was added. What was John's average monthly balance in his account that year?
|
a bank pays interest to its customers on the last day of the year . the interest paid to a customer is calculated as 10 % of the average monthly balance maintained by the customer . john is a customer at the bank . on the last day , when the interest was accumulated into his account , his bank balance doubled to $ 5080 . what is the average monthly balance maintained by john in his account during the year ?
|
a bus 75 m long is running with a speed of 21 km / hr . in what time will it pass a woman who is walking at 3 km / hr in the direction opposite to that in which the bus is going ?
|
[
{
"content": "a bus 75 m long is running with a speed of 21 km / hr . in what time will it pass a woman who is walking at 3 km / hr in the direction opposite to that in which the bus is going ?",
"role": "user"
},
{
"content": "How long will it take for a 75 m long bus traveling at 21 km/hr to pass a woman walking in the opposite direction at 3 km/hr?",
"role": "assistant"
}
] |
How long will it take for a 75 m long bus traveling at 21 km/hr to pass a woman walking in the opposite direction at 3 km/hr?
|
a bus 75 m long is running with a speed of 21 km / hr . in what time will it pass a woman who is walking at 3 km / hr in the direction opposite to that in which the bus is going ?
|
what is the largest power of 3 contained in 200 !
|
[
{
"content": "what is the largest power of 3 contained in 200 !",
"role": "user"
},
{
"content": "What is the highest power of 3 that divides 200 factorial",
"role": "assistant"
}
] |
What is the highest power of 3 that divides 200 factorial
|
what is the largest power of 3 contained in 200 !
|
reeya obtained 40 , 60 , 70 , 80 and 80 out of 100 in different subjects , what will be the average
|
[
{
"content": "reeya obtained 40 , 60 , 70 , 80 and 80 out of 100 in different subjects , what will be the average",
"role": "user"
},
{
"content": "What will be the average of Reeya's scores: 40, 60, 70, 80, and 80 out of 100 in different subjects?",
"role": "assistant"
}
] |
What will be the average of Reeya's scores: 40, 60, 70, 80, and 80 out of 100 in different subjects?
|
reeya obtained 40 , 60 , 70 , 80 and 80 out of 100 in different subjects , what will be the average
|
the distance from city a to city b is 100 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ?
|
[
{
"content": "the distance from city a to city b is 100 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ?",
"role": "user"
},
{
"content": "To arrive in city b before bob, what is the minimum speed in miles per hour that alice must drive at, given that she leaves 30 minutes after bob who drives at 40 miles per hour from city a to city b, a 100 mile distance?",
"role": "assistant"
}
] |
To arrive in city b before bob, what is the minimum speed in miles per hour that alice must drive at, given that she leaves 30 minutes after bob who drives at 40 miles per hour from city a to city b, a 100 mile distance?
|
the distance from city a to city b is 100 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ?
|
on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with thrice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day , what was the price per glass on the second day ?
|
[
{
"content": "on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with thrice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day , what was the price per glass on the second day ?",
"role": "user"
},
{
"content": "On a particular day, a certain amount of orange juice was mixed with an equal amount of water to make orangeade. The next day, the same amount of orange juice was mixed with three times the amount of water to make orangeade. Both days resulted in the sale of all the orangeade made. Given that the revenue from both days was the same and the price per glass was $0.60 on the first day, what was the price per glass on the second day?",
"role": "assistant"
}
] |
On a particular day, a certain amount of orange juice was mixed with an equal amount of water to make orangeade. The next day, the same amount of orange juice was mixed with three times the amount of water to make orangeade. Both days resulted in the sale of all the orangeade made. Given that the revenue from both days was the same and the price per glass was $0.60 on the first day, what was the price per glass on the second day?
|
on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with thrice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day , what was the price per glass on the second day ?
|
8597 - ? = 7429 - 4358
|
[
{
"content": "8597 - ? = 7429 - 4358",
"role": "user"
},
{
"content": "8597 minus what equals 7429 minus 4358",
"role": "assistant"
}
] |
8597 minus what equals 7429 minus 4358
|
8597 - ? = 7429 - 4358
|
when positive integer k is divided by 5 , the remainder is 2 . when k is divided by 6 , the remainder is 5 . if k is less than 24 , what is the remainder when k is divided by 7 ?
|
[
{
"content": "when positive integer k is divided by 5 , the remainder is 2 . when k is divided by 6 , the remainder is 5 . if k is less than 24 , what is the remainder when k is divided by 7 ?",
"role": "user"
},
{
"content": "What is the remainder when a positive integer k, which leaves a remainder of 2 when divided by 5 and a remainder of 5 when divided by 6, is divided by 7, given that k is less than 24?",
"role": "assistant"
}
] |
What is the remainder when a positive integer k, which leaves a remainder of 2 when divided by 5 and a remainder of 5 when divided by 6, is divided by 7, given that k is less than 24?
|
when positive integer k is divided by 5 , the remainder is 2 . when k is divided by 6 , the remainder is 5 . if k is less than 24 , what is the remainder when k is divided by 7 ?
|
is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 32 , then how old is b ?
|
[
{
"content": "is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 32 , then how old is b ?",
"role": "user"
},
{
"content": "What is B's age if A is two years older than B, who is twice as old as C, and their combined ages total 32?",
"role": "assistant"
}
] |
What is B's age if A is two years older than B, who is twice as old as C, and their combined ages total 32?
|
is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 32 , then how old is b ?
|
how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length ?
|
[
{
"content": "how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length ?",
"role": "user"
},
{
"content": "What is the time taken by a 110m long train traveling at 72 km/hr to cross a 132m long bridge?",
"role": "assistant"
}
] |
What is the time taken by a 110m long train traveling at 72 km/hr to cross a 132m long bridge?
|
how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length ?
|
a train covers a distance of 12 km in 10 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?
|
[
{
"content": "a train covers a distance of 12 km in 10 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?",
"role": "user"
},
{
"content": "What is the length of the train if it travels 12 km in 10 minutes and takes 6 seconds to pass a telegraph post?",
"role": "assistant"
}
] |
What is the length of the train if it travels 12 km in 10 minutes and takes 6 seconds to pass a telegraph post?
|
a train covers a distance of 12 km in 10 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?
|
mary ' s income is 60 % more than tim ' s income and tim ' s income is 60 % less than juan ' s income . what % of juan ' s income is mary ' s income .
|
[
{
"content": "mary ' s income is 60 % more than tim ' s income and tim ' s income is 60 % less than juan ' s income . what % of juan ' s income is mary ' s income .",
"role": "user"
},
{
"content": "What percentage of Juan's income is Mary's, given that Mary earns 60% more than Tim, and Tim earns 60% less than Juan?",
"role": "assistant"
}
] |
What percentage of Juan's income is Mary's, given that Mary earns 60% more than Tim, and Tim earns 60% less than Juan?
|
mary ' s income is 60 % more than tim ' s income and tim ' s income is 60 % less than juan ' s income . what % of juan ' s income is mary ' s income .
|
11 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ?
|
[
{
"content": "11 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ?",
"role": "user"
},
{
"content": "How many ways can a student choose 2 biology books and 2 chemistry books from the 11 biology and 8 chemistry books on the shelf?",
"role": "assistant"
}
] |
How many ways can a student choose 2 biology books and 2 chemistry books from the 11 biology and 8 chemistry books on the shelf?
|
11 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ?
|
pipe a can fill the tank in 30 minutes and pipe b can empty the tank in 90 minutes . how long it will take to fill the tank if both pipes are operating together ?
|
[
{
"content": "pipe a can fill the tank in 30 minutes and pipe b can empty the tank in 90 minutes . how long it will take to fill the tank if both pipes are operating together ?",
"role": "user"
},
{
"content": "If both pipes are operating simultaneously, how long will it take to fill the tank?",
"role": "assistant"
}
] |
If both pipes are operating simultaneously, how long will it take to fill the tank?
|
pipe a can fill the tank in 30 minutes and pipe b can empty the tank in 90 minutes . how long it will take to fill the tank if both pipes are operating together ?
|
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