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what is the max number of rectangular boxes , each measuring 5 inches by 2 inches by 7 inches , that can be packed into a rectangular packing box measuring 15 inches by 20 inches by 35 inches , if all boxes are aligned in the same direction ?
[ { "content": "what is the max number of rectangular boxes , each measuring 5 inches by 2 inches by 7 inches , that can be packed into a rectangular packing box measuring 15 inches by 20 inches by 35 inches , if all boxes are aligned in the same direction ?", "role": "user" }, { "content": "What is the maximum number of 5x2x7 inch boxes that can fit in a 15x20x35 inch box when aligned in the same direction?", "role": "assistant" } ]
What is the maximum number of 5x2x7 inch boxes that can fit in a 15x20x35 inch box when aligned in the same direction?
what is the max number of rectangular boxes , each measuring 5 inches by 2 inches by 7 inches , that can be packed into a rectangular packing box measuring 15 inches by 20 inches by 35 inches , if all boxes are aligned in the same direction ?
the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 288 . find the principal ?
[ { "content": "the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 288 . find the principal ?", "role": "user" }, { "content": "What is the principal amount when the difference between 2-year compound interest (compounded annually) and simple interest at a 20% annual rate is Rs. 288?", "role": "assistant" } ]
What is the principal amount when the difference between 2-year compound interest (compounded annually) and simple interest at a 20% annual rate is Rs. 288?
the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 288 . find the principal ?
63.2 is what percent of 867 ?
[ { "content": "63.2 is what percent of 867 ?", "role": "user" }, { "content": "What percentage is 63.2 of 867?", "role": "assistant" } ]
What percentage is 63.2 of 867?
63.2 is what percent of 867 ?
p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 15 days to complete the same work . then q alone can do it in
[ { "content": "p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 15 days to complete the same work . then q alone can do it in", "role": "user" }, { "content": "Q alone can do the work in what time", "role": "assistant" } ]
Q alone can do the work in what time
p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 15 days to complete the same work . then q alone can do it in
local kennel has cats and dogs in the ratio of 6 : 12 . if there are 24 fewer cats than dogs , how many dogs are in the kennel ?
[ { "content": "local kennel has cats and dogs in the ratio of 6 : 12 . if there are 24 fewer cats than dogs , how many dogs are in the kennel ?", "role": "user" }, { "content": "At the local kennel, the cat-to-dog ratio is 6:12. Given that there are 24 fewer cats than dogs, how many dogs are in the kennel?", "role": "assistant" } ]
At the local kennel, the cat-to-dog ratio is 6:12. Given that there are 24 fewer cats than dogs, how many dogs are in the kennel?
local kennel has cats and dogs in the ratio of 6 : 12 . if there are 24 fewer cats than dogs , how many dogs are in the kennel ?
a and b complete a work in 80 days . a alone can do it in 40 days . if both together can do the work in how many days ?
[ { "content": "a and b complete a work in 80 days . a alone can do it in 40 days . if both together can do the work in how many days ?", "role": "user" }, { "content": "How long would it take for a and b to complete the work together", "role": "assistant" } ]
How long would it take for a and b to complete the work together
a and b complete a work in 80 days . a alone can do it in 40 days . if both together can do the work in how many days ?
a customer purchased a package of ground beef at a cost of $ 1.80 per pound . for the same amount of money , the customer could have purchased a piece of steak that weighed 20 percent less than the package of ground beef . what was the cost per pound of the steak ?
[ { "content": "a customer purchased a package of ground beef at a cost of $ 1.80 per pound . for the same amount of money , the customer could have purchased a piece of steak that weighed 20 percent less than the package of ground beef . what was the cost per pound of the steak ?", "role": "user" }, { "content": "If a customer could have bought a 20% lighter steak for the same $1.80 as a package of ground beef, what was the price per pound of the steak?", "role": "assistant" } ]
If a customer could have bought a 20% lighter steak for the same $1.80 as a package of ground beef, what was the price per pound of the steak?
a customer purchased a package of ground beef at a cost of $ 1.80 per pound . for the same amount of money , the customer could have purchased a piece of steak that weighed 20 percent less than the package of ground beef . what was the cost per pound of the steak ?
if two dice are thrown together , the probability of getting prime number on both dice is
[ { "content": "if two dice are thrown together , the probability of getting prime number on both dice is", "role": "user" }, { "content": "the probability of rolling prime numbers on both dice when two are thrown together is", "role": "assistant" } ]
the probability of rolling prime numbers on both dice when two are thrown together is
if two dice are thrown together , the probability of getting prime number on both dice is
at a wedding reception , 125 guests ate chicken and 75 guests ate beef . if exactly 100 guests ate only one of the two types of meat , how many guests ate both types of meat ?
[ { "content": "at a wedding reception , 125 guests ate chicken and 75 guests ate beef . if exactly 100 guests ate only one of the two types of meat , how many guests ate both types of meat ?", "role": "user" }, { "content": "At a wedding reception, 125 guests had chicken and 75 had beef; if exactly 100 guests had only one of the two types of meat, how many guests had both types of meat?", "role": "assistant" } ]
At a wedding reception, 125 guests had chicken and 75 had beef; if exactly 100 guests had only one of the two types of meat, how many guests had both types of meat?
at a wedding reception , 125 guests ate chicken and 75 guests ate beef . if exactly 100 guests ate only one of the two types of meat , how many guests ate both types of meat ?
the average temperature for monday , tuesday and wednsday is 36.3 degrees c . the average temperature for tuesday , wednesday and thursday is 36.7 degrees c . if monday ’ s temperature recorded as 39 degrees c , find the thursday ’ s temperature ?
[ { "content": "the average temperature for monday , tuesday and wednsday is 36.3 degrees c . the average temperature for tuesday , wednesday and thursday is 36.7 degrees c . if monday ’ s temperature recorded as 39 degrees c , find the thursday ’ s temperature ?", "role": "user" }, { "content": "What is Thursday's temperature if Monday's temperature was 39°C, given that the average temperature for Monday, Tuesday, and Wednesday is 36.3°C and the average temperature for Tuesday, Wednesday, and Thursday is 36.7°C?", "role": "assistant" } ]
What is Thursday's temperature if Monday's temperature was 39°C, given that the average temperature for Monday, Tuesday, and Wednesday is 36.3°C and the average temperature for Tuesday, Wednesday, and Thursday is 36.7°C?
the average temperature for monday , tuesday and wednsday is 36.3 degrees c . the average temperature for tuesday , wednesday and thursday is 36.7 degrees c . if monday ’ s temperature recorded as 39 degrees c , find the thursday ’ s temperature ?
a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 4 : 2 : 3 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 2 : 5 , respectively . how many more acres of land were planted with tobacco under the new system ?
[ { "content": "a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 4 : 2 : 3 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 2 : 5 , respectively . how many more acres of land were planted with tobacco under the new system ?", "role": "user" }, { "content": "How many additional acres of land were allocated to tobacco under the new ratio.", "role": "assistant" } ]
How many additional acres of land were allocated to tobacco under the new ratio.
a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 4 : 2 : 3 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 2 : 5 , respectively . how many more acres of land were planted with tobacco under the new system ?
a palindrome is a number that reads the same forward and backward , such as 343 . how many odd , 6 - digit numbers are palindromes ?
[ { "content": "a palindrome is a number that reads the same forward and backward , such as 343 . how many odd , 6 - digit numbers are palindromes ?", "role": "user" }, { "content": "What is the count of odd 6-digit numbers that are palindromes, reading the same forwards and backwards, like 343.", "role": "assistant" } ]
What is the count of odd 6-digit numbers that are palindromes, reading the same forwards and backwards, like 343.
a palindrome is a number that reads the same forward and backward , such as 343 . how many odd , 6 - digit numbers are palindromes ?
p , q and r have $ 6000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ?
[ { "content": "p , q and r have $ 6000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ?", "role": "user" }, { "content": "What is the amount of money r has, given that p, q, and r together have $6000 and r has two-thirds of the total amount shared with p and q?", "role": "assistant" } ]
What is the amount of money r has, given that p, q, and r together have $6000 and r has two-thirds of the total amount shared with p and q?
p , q and r have $ 6000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ?
light glows for every 15 seconds . how many max . times did it glow between 1 : 57 : 58 and 3 : 20 : 47 am .
[ { "content": "light glows for every 15 seconds . how many max . times did it glow between 1 : 57 : 58 and 3 : 20 : 47 am .", "role": "user" }, { "content": "What's the maximum number of times the light glowed between 1:57:58 am and 3:20:47 am, given that it glows every 15 seconds?", "role": "assistant" } ]
What's the maximum number of times the light glowed between 1:57:58 am and 3:20:47 am, given that it glows every 15 seconds?
light glows for every 15 seconds . how many max . times did it glow between 1 : 57 : 58 and 3 : 20 : 47 am .
a boy goes to his school from his house at a speed of 3 km / hr and returns at a speed of 2 km / hr . if he takes 5 hours in going and coming . the distance between his house and school is :
[ { "content": "a boy goes to his school from his house at a speed of 3 km / hr and returns at a speed of 2 km / hr . if he takes 5 hours in going and coming . the distance between his house and school is :", "role": "user" }, { "content": "What is the distance between the boy's house and school if he travels at 3 km/hr to school and 2 km/hr back home, taking a total of 5 hours for the round trip?", "role": "assistant" } ]
What is the distance between the boy's house and school if he travels at 3 km/hr to school and 2 km/hr back home, taking a total of 5 hours for the round trip?
a boy goes to his school from his house at a speed of 3 km / hr and returns at a speed of 2 km / hr . if he takes 5 hours in going and coming . the distance between his house and school is :
of the 120 passengers on flight 750 , 60 % are female . 10 % of the passengers sit in first class , and the rest of the passengers sit in coach class . if 1 / 3 of the passengers in first class are male , how many females are there in coach class ?
[ { "content": "of the 120 passengers on flight 750 , 60 % are female . 10 % of the passengers sit in first class , and the rest of the passengers sit in coach class . if 1 / 3 of the passengers in first class are male , how many females are there in coach class ?", "role": "user" }, { "content": "Of the 120 passengers on flight 750, 60% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?\n\nHere is a paraphrased version:\n\nOn flight 750, with 120 passengers, 60% are female. 10% of the passengers are in first class, while the remaining passengers are in coach. If one-third of the first-class passengers are male, how many female passengers are in coach?", "role": "assistant" } ]
Of the 120 passengers on flight 750, 60% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class? Here is a paraphrased version: On flight 750, with 120 passengers, 60% are female. 10% of the passengers are in first class, while the remaining passengers are in coach. If one-third of the first-class passengers are male, how many female passengers are in coach?
of the 120 passengers on flight 750 , 60 % are female . 10 % of the passengers sit in first class , and the rest of the passengers sit in coach class . if 1 / 3 of the passengers in first class are male , how many females are there in coach class ?
the ratio of radius of a circle and the side of a square is 2 : 7 . find the ratio of their areas :
[ { "content": "the ratio of radius of a circle and the side of a square is 2 : 7 . find the ratio of their areas :", "role": "user" }, { "content": "What's the ratio of the areas of a circle and a square when the circle's radius to the square's side is 2:7?", "role": "assistant" } ]
What's the ratio of the areas of a circle and a square when the circle's radius to the square's side is 2:7?
the ratio of radius of a circle and the side of a square is 2 : 7 . find the ratio of their areas :
how many kilograms of sugar costing rs . 9 per kg must be mixed with 27 kg of sugar costing rs . 7 per kg so that there may be a gain of 10 % by selling the mixture at rs . 9.24 per kg ?
[ { "content": "how many kilograms of sugar costing rs . 9 per kg must be mixed with 27 kg of sugar costing rs . 7 per kg so that there may be a gain of 10 % by selling the mixture at rs . 9.24 per kg ?", "role": "user" }, { "content": "What amount of sugar, priced at Rs. 9 per kg, needs to be mixed with 27 kg of sugar priced at Rs. 7 per kg to achieve a 10% gain when selling the mixture at Rs. 9.24 per kg?", "role": "assistant" } ]
What amount of sugar, priced at Rs. 9 per kg, needs to be mixed with 27 kg of sugar priced at Rs. 7 per kg to achieve a 10% gain when selling the mixture at Rs. 9.24 per kg?
how many kilograms of sugar costing rs . 9 per kg must be mixed with 27 kg of sugar costing rs . 7 per kg so that there may be a gain of 10 % by selling the mixture at rs . 9.24 per kg ?
a sum of money lent out at s . i . amounts to rs . 820 after 2 years and to rs . 1020 after a further period of 5 years . the sum is ?
[ { "content": "a sum of money lent out at s . i . amounts to rs . 820 after 2 years and to rs . 1020 after a further period of 5 years . the sum is ?", "role": "user" }, { "content": "What is the principal amount that was initially lent at simple interest, considering it became Rs. 820 after 2 years and Rs. 1020 after an additional 5 years?", "role": "assistant" } ]
What is the principal amount that was initially lent at simple interest, considering it became Rs. 820 after 2 years and Rs. 1020 after an additional 5 years?
a sum of money lent out at s . i . amounts to rs . 820 after 2 years and to rs . 1020 after a further period of 5 years . the sum is ?
a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 60 $ for the meal . assuming that they will pay 7 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ?
[ { "content": "a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 60 $ for the meal . assuming that they will pay 7 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ?", "role": "user" }, { "content": "What is the maximum cost of the meal before tax and tip, given that the total expense, including 7% sales tax and 15% tip, cannot exceed $60?", "role": "assistant" } ]
What is the maximum cost of the meal before tax and tip, given that the total expense, including 7% sales tax and 15% tip, cannot exceed $60?
a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 60 $ for the meal . assuming that they will pay 7 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ?
for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 21000 , my total savings for the two - year is
[ { "content": "for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 21000 , my total savings for the two - year is", "role": "user" }, { "content": "Here is a paraphrased version of the text:\n\nFor two years in a row, my income ratio is 4:7 and my expenses ratio is 3:5. If I earned Rs. 42,000 in the second year and spent Rs. 21,000 in the first year, what are my total savings for the two-year period?", "role": "assistant" } ]
Here is a paraphrased version of the text: For two years in a row, my income ratio is 4:7 and my expenses ratio is 3:5. If I earned Rs. 42,000 in the second year and spent Rs. 21,000 in the first year, what are my total savings for the two-year period?
for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 21000 , my total savings for the two - year is
how many three - digit numbers are divisible by 6 in all ?
[ { "content": "how many three - digit numbers are divisible by 6 in all ?", "role": "user" }, { "content": "What is the total count of three-digit numbers that are divisible by 6?", "role": "assistant" } ]
What is the total count of three-digit numbers that are divisible by 6?
how many three - digit numbers are divisible by 6 in all ?
a boat can travel with a speed of 12 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 68 km downstream .
[ { "content": "a boat can travel with a speed of 12 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 68 km downstream .", "role": "user" }, { "content": "If a boat travels at 12 km/hr in still water and the stream's speed is 4 km/hr, what is the time it takes for the boat to cover 68 km downstream.", "role": "assistant" } ]
If a boat travels at 12 km/hr in still water and the stream's speed is 4 km/hr, what is the time it takes for the boat to cover 68 km downstream.
a boat can travel with a speed of 12 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 68 km downstream .
the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if saran and david have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ?
[ { "content": "the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if saran and david have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ?", "role": "user" }, { "content": "What amount will Saran and David save individually if they combine their photocopy orders to 160 copies, given a 25% discount on orders over 100 copies, with each copy costing $0.02?", "role": "assistant" } ]
What amount will Saran and David save individually if they combine their photocopy orders to 160 copies, given a 25% discount on orders over 100 copies, with each copy costing $0.02?
the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if saran and david have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ?
jane makes toy bears . when she works with an assistant , she makes 100 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane ’ s output of toy bears per hour by what percent ?
[ { "content": "jane makes toy bears . when she works with an assistant , she makes 100 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane ’ s output of toy bears per hour by what percent ?", "role": "user" }, { "content": "What is the percentage increase in Jane's hourly output of toy bears when she has an assistant?", "role": "assistant" } ]
What is the percentage increase in Jane's hourly output of toy bears when she has an assistant?
jane makes toy bears . when she works with an assistant , she makes 100 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane ’ s output of toy bears per hour by what percent ?
p is able to do a piece of work in 10 days and q can do the same work in 12 days . if they can work together for 5 days , what is the fraction of work left ?
[ { "content": "p is able to do a piece of work in 10 days and q can do the same work in 12 days . if they can work together for 5 days , what is the fraction of work left ?", "role": "user" }, { "content": "If p and q work together for 5 days on a job that p can complete in 10 days and q in 12 days, what fraction of the work remains?", "role": "assistant" } ]
If p and q work together for 5 days on a job that p can complete in 10 days and q in 12 days, what fraction of the work remains?
p is able to do a piece of work in 10 days and q can do the same work in 12 days . if they can work together for 5 days , what is the fraction of work left ?
the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 6 minutes , 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 : 2 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 6 minutes , then the area of the park ( in sq . m ) is :", "role": "user" }, { "content": "What is the area of the park (in sq. m) if a man cycling along the boundary of a rectangular park with a length-to-breadth ratio of 3:2 completes one round at 12 km/hr in 6 minutes?", "role": "assistant" } ]
What is the area of the park (in sq. m) if a man cycling along the boundary of a rectangular park with a length-to-breadth ratio of 3:2 completes one round at 12 km/hr in 6 minutes?
the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 6 minutes , then the area of the park ( in sq . m ) is :
find the area of a parallelogram with base 24 cm and height 12 cm ?
[ { "content": "find the area of a parallelogram with base 24 cm and height 12 cm ?", "role": "user" }, { "content": "What is the area of a parallelogram with a 24 cm base and a 12 cm height ?", "role": "assistant" } ]
What is the area of a parallelogram with a 24 cm base and a 12 cm height ?
find the area of a parallelogram with base 24 cm and height 12 cm ?
for each 6 - month period during a light bulb ' s life span , the odds of it not burning out from over - use are half what they were in the previous 6 - month period . if the odds of a light bulb burning out during the first 6 - month period following its purchase are 2 / 3 , what are the odds of it burning out during the period from 6 months to 1 year following its purchase ?
[ { "content": "for each 6 - month period during a light bulb ' s life span , the odds of it not burning out from over - use are half what they were in the previous 6 - month period . if the odds of a light bulb burning out during the first 6 - month period following its purchase are 2 / 3 , what are the odds of it burning out during the period from 6 months to 1 year following its purchase ?", "role": "user" }, { "content": "What are the chances of a light bulb burning out from 6 months to 1 year after purchase, given that its likelihood of burning out decreases by half every 6 months, starting with a 2/3 chance in the first 6 months", "role": "assistant" } ]
What are the chances of a light bulb burning out from 6 months to 1 year after purchase, given that its likelihood of burning out decreases by half every 6 months, starting with a 2/3 chance in the first 6 months
for each 6 - month period during a light bulb ' s life span , the odds of it not burning out from over - use are half what they were in the previous 6 - month period . if the odds of a light bulb burning out during the first 6 - month period following its purchase are 2 / 3 , what are the odds of it burning out during the period from 6 months to 1 year following its purchase ?
a glass was filled with 10 ounces of water , and 0.05 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?
[ { "content": "a glass was filled with 10 ounces of water , and 0.05 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?", "role": "user" }, { "content": "What percentage of the original 10 ounces of water evaporated over the 20-day period, given 0.05 ounces evaporated each day?", "role": "assistant" } ]
What percentage of the original 10 ounces of water evaporated over the 20-day period, given 0.05 ounces evaporated each day?
a glass was filled with 10 ounces of water , and 0.05 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?
a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ' s contribution in the capital
[ { "content": "a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ' s contribution in the capital", "role": "user" }, { "content": "What is B's capital investment", "role": "assistant" } ]
What is B's capital investment
a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ' s contribution in the capital
what percent of 5.2 kg is 16 gms ?
[ { "content": "what percent of 5.2 kg is 16 gms ?", "role": "user" }, { "content": "What percentage of 5.2 kilograms is 16 grams?", "role": "assistant" } ]
What percentage of 5.2 kilograms is 16 grams?
what percent of 5.2 kg is 16 gms ?
the true discount on a bill due 9 months hence at 16 % per annum is rs . 162 . the amount of the bill is
[ { "content": "the true discount on a bill due 9 months hence at 16 % per annum is rs . 162 . the amount of the bill is", "role": "user" }, { "content": "The true discount on a bill due in 9 months at a 16% annual rate is Rs. 162; what is the amount of the bill?", "role": "assistant" } ]
The true discount on a bill due in 9 months at a 16% annual rate is Rs. 162; what is the amount of the bill?
the true discount on a bill due 9 months hence at 16 % per annum is rs . 162 . the amount of the bill is
a cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 10 hours . if both the taps are opened simultaneously then after how much time will the cistern get filled ?
[ { "content": "a cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 10 hours . if both the taps are opened simultaneously then after how much time will the cistern get filled ?", "role": "user" }, { "content": "How long will it take to fill the cistern if one tap can fill it in 5 hours and the other can empty it in 10 hours when both taps are opened at the same time?", "role": "assistant" } ]
How long will it take to fill the cistern if one tap can fill it in 5 hours and the other can empty it in 10 hours when both taps are opened at the same time?
a cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 10 hours . if both the taps are opened simultaneously then after how much time will the cistern get filled ?
the mall charges 50 cents for the first hour of parking and $ 3 for each additional hour until the customer reaches 4 hours , after that the parking fee is $ 1 per hour . if a certain customer parked his in the mall for 7 hours and 30 minutes , how much is he going to pay ?
[ { "content": "the mall charges 50 cents for the first hour of parking and $ 3 for each additional hour until the customer reaches 4 hours , after that the parking fee is $ 1 per hour . if a certain customer parked his in the mall for 7 hours and 30 minutes , how much is he going to pay ?", "role": "user" }, { "content": "What will a 7 hour and 30 minute parking fee be if the first hour costs $0.50, the next 3 hours cost $3 each, and each additional hour costs $1 ?", "role": "assistant" } ]
What will a 7 hour and 30 minute parking fee be if the first hour costs $0.50, the next 3 hours cost $3 each, and each additional hour costs $1 ?
the mall charges 50 cents for the first hour of parking and $ 3 for each additional hour until the customer reaches 4 hours , after that the parking fee is $ 1 per hour . if a certain customer parked his in the mall for 7 hours and 30 minutes , how much is he going to pay ?
x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 3 . if x invested rs . 40000 , the amount invested by y is
[ { "content": "x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 3 . if x invested rs . 40000 , the amount invested by y is", "role": "user" }, { "content": "x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 3 . if x invested rs . 60000 , the amount invested by y is", "role": "assistant" } ]
x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 3 . if x invested rs . 60000 , the amount invested by y is
x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 3 . if x invested rs . 40000 , the amount invested by y is
a 12 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?
[ { "content": "a 12 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?", "role": "user" }, { "content": "If a 12-meter wire is cut at a random point into two pieces, and the longer piece is used to create a square's perimeter, what's the likelihood that the square's area will exceed 4 square meters?", "role": "assistant" } ]
If a 12-meter wire is cut at a random point into two pieces, and the longer piece is used to create a square's perimeter, what's the likelihood that the square's area will exceed 4 square meters?
a 12 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?
an article with cost price of 245 is sold at 34 % profit . what is the selling price ?
[ { "content": "an article with cost price of 245 is sold at 34 % profit . what is the selling price ?", "role": "user" }, { "content": "If an article is sold at a 34% profit with a cost price of 245, what is the selling price?", "role": "assistant" } ]
If an article is sold at a 34% profit with a cost price of 245, what is the selling price?
an article with cost price of 245 is sold at 34 % profit . what is the selling price ?
two stations p and q are 155 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ?
[ { "content": "two stations p and q are 155 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ?", "role": "user" }, { "content": "At what time will the two trains meet, given that they are traveling towards each other from stations P and Q, which are 155 km apart, with one train starting from P at 7 a.m. at 20 kmph and the other from Q at 8 a.m. at 25 kmph?", "role": "assistant" } ]
At what time will the two trains meet, given that they are traveling towards each other from stations P and Q, which are 155 km apart, with one train starting from P at 7 a.m. at 20 kmph and the other from Q at 8 a.m. at 25 kmph?
two stations p and q are 155 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ?
the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ?
[ { "content": "the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ?", "role": "user" }, { "content": "What is the average age of the cricket team consisting of 11 members, given the captain is 26 years old, the wicket keeper is 3 years older, and the average age of the remaining players is one year less than the whole team's average age after excluding the captain and wicket keeper's ages?", "role": "assistant" } ]
What is the average age of the cricket team consisting of 11 members, given the captain is 26 years old, the wicket keeper is 3 years older, and the average age of the remaining players is one year less than the whole team's average age after excluding the captain and wicket keeper's ages?
the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ?
the number of students in each section of a school is 24 . after admitting new students , 3 new sections were started . now , the total number of sections is 16 and there are 21 students in each section . the number of new students admitted is :
[ { "content": "the number of students in each section of a school is 24 . after admitting new students , 3 new sections were started . now , the total number of sections is 16 and there are 21 students in each section . the number of new students admitted is :", "role": "user" }, { "content": "The number of students in each section of a school is 24. After admitting new students, 3 new sections were started. Now, the total number of sections is 16 and there are 21 students in each section. How many new students were admitted?", "role": "assistant" } ]
The number of students in each section of a school is 24. After admitting new students, 3 new sections were started. Now, the total number of sections is 16 and there are 21 students in each section. How many new students were admitted?
the number of students in each section of a school is 24 . after admitting new students , 3 new sections were started . now , the total number of sections is 16 and there are 21 students in each section . the number of new students admitted is :
simplify : 81 x 81 + 68 x 68 - 2 x 81 x 68 .
[ { "content": "simplify : 81 x 81 + 68 x 68 - 2 x 81 x 68 .", "role": "user" }, { "content": "( 81 ) ( 81 ) + ( 68 ) ( 68 ) - 2 ( 81 ) ( 68 )", "role": "assistant" } ]
( 81 ) ( 81 ) + ( 68 ) ( 68 ) - 2 ( 81 ) ( 68 )
simplify : 81 x 81 + 68 x 68 - 2 x 81 x 68 .
- 24 * 29 + 1240 = ?
[ { "content": "- 24 * 29 + 1240 = ?", "role": "user" }, { "content": "What is the result of 24 * 29 + 1240?", "role": "assistant" } ]
What is the result of 24 * 29 + 1240?
- 24 * 29 + 1240 = ?
4 liters of a 25 percent solution of alcohol in water are mixed with 3 liters of a 11 percent alcohol in water solution . what is the percentage of alcohol in the new solution ?
[ { "content": "4 liters of a 25 percent solution of alcohol in water are mixed with 3 liters of a 11 percent alcohol in water solution . what is the percentage of alcohol in the new solution ?", "role": "user" }, { "content": "What is the alcohol percentage of the new solution when 4 liters of a 25% alcohol solution is mixed with 3 liters of an 11% alcohol solution?", "role": "assistant" } ]
What is the alcohol percentage of the new solution when 4 liters of a 25% alcohol solution is mixed with 3 liters of an 11% alcohol solution?
4 liters of a 25 percent solution of alcohol in water are mixed with 3 liters of a 11 percent alcohol in water solution . what is the percentage of alcohol in the new solution ?
x and y started a business by investing rs . 36000 and rs . 42000 respectively after 4 months z joined in the business with an investment of rs . 48000 , then find share of z in the profit of rs . 13750 ?
[ { "content": "x and y started a business by investing rs . 36000 and rs . 42000 respectively after 4 months z joined in the business with an investment of rs . 48000 , then find share of z in the profit of rs . 13750 ?", "role": "user" }, { "content": "What is Z's share of the Rs. 13750 profit after investing Rs. 48000 in a business that X and Y started with Rs. 36000 and Rs. 42000, respectively, 4 months prior to Z's entry?", "role": "assistant" } ]
What is Z's share of the Rs. 13750 profit after investing Rs. 48000 in a business that X and Y started with Rs. 36000 and Rs. 42000, respectively, 4 months prior to Z's entry?
x and y started a business by investing rs . 36000 and rs . 42000 respectively after 4 months z joined in the business with an investment of rs . 48000 , then find share of z in the profit of rs . 13750 ?
machine a and machine b are each used to manufacture 550 sprockets . it takes machine a 10 hours longer to produce 550 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?
[ { "content": "machine a and machine b are each used to manufacture 550 sprockets . it takes machine a 10 hours longer to produce 550 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?", "role": "user" }, { "content": "Machine A and Machine B are used to manufacture the same number of sprockets, 550. Machine A takes 10 hours longer than Machine B to produce 550 sprockets. Machine B produces 10% more sprockets per hour than Machine A. What is the hourly production rate of Machine A in terms of sprockets?", "role": "assistant" } ]
Machine A and Machine B are used to manufacture the same number of sprockets, 550. Machine A takes 10 hours longer than Machine B to produce 550 sprockets. Machine B produces 10% more sprockets per hour than Machine A. What is the hourly production rate of Machine A in terms of sprockets?
machine a and machine b are each used to manufacture 550 sprockets . it takes machine a 10 hours longer to produce 550 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?
how long does a train 100 m long travelling at 60 kmph takes to cross a bridge of 120 m in length ?
[ { "content": "how long does a train 100 m long travelling at 60 kmph takes to cross a bridge of 120 m in length ?", "role": "user" }, { "content": "What is the time taken by a 100m long train travelling at 60 kmph to cross a 120m long bridge ?", "role": "assistant" } ]
What is the time taken by a 100m long train travelling at 60 kmph to cross a 120m long bridge ?
how long does a train 100 m long travelling at 60 kmph takes to cross a bridge of 120 m in length ?
a rainstorm increased the amount of water stored in state j reservoirs from 5 billion gallons to 7.5 billion gallons . if the storm increased the amount of water in the reservoirs to 55 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?
[ { "content": "a rainstorm increased the amount of water stored in state j reservoirs from 5 billion gallons to 7.5 billion gallons . if the storm increased the amount of water in the reservoirs to 55 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?", "role": "user" }, { "content": "Here are the paraphrased versions:\n\n Original: a rainstorm increased the amount of water stored in state j reservoirs from 5 billion gallons to 7.5 billion gallons.\nParaphrased: A rainstorm boosted the water level in state J reservoirs from 5 billion gallons to 7.5 billion gallons.\n\n Original: if the storm increased the amount of water in the reservoirs to 55 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?\nParaphrased: If the storm raised the reservoirs' water level to 55% of capacity, how many billion gallons short of full capacity were the reservoirs before the storm?", "role": "assistant" } ]
Here are the paraphrased versions: Original: a rainstorm increased the amount of water stored in state j reservoirs from 5 billion gallons to 7.5 billion gallons. Paraphrased: A rainstorm boosted the water level in state J reservoirs from 5 billion gallons to 7.5 billion gallons. Original: if the storm increased the amount of water in the reservoirs to 55 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? Paraphrased: If the storm raised the reservoirs' water level to 55% of capacity, how many billion gallons short of full capacity were the reservoirs before the storm?
a rainstorm increased the amount of water stored in state j reservoirs from 5 billion gallons to 7.5 billion gallons . if the storm increased the amount of water in the reservoirs to 55 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?
the total cost of 100 paper plates and 200 paper cups is $ 4.50 at the same rates what is the total cost of 20 of the plates and 40 of the cups ?
[ { "content": "the total cost of 100 paper plates and 200 paper cups is $ 4.50 at the same rates what is the total cost of 20 of the plates and 40 of the cups ?", "role": "user" }, { "content": "At the same price, what would be the total cost of 20 plates and 40 cups if 100 plates and 200 cups cost $4.50?", "role": "assistant" } ]
At the same price, what would be the total cost of 20 plates and 40 cups if 100 plates and 200 cups cost $4.50?
the total cost of 100 paper plates and 200 paper cups is $ 4.50 at the same rates what is the total cost of 20 of the plates and 40 of the cups ?
kathleen can paint a room in 2 hours , and anthony can paint an identical room in 3 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?
[ { "content": "kathleen can paint a room in 2 hours , and anthony can paint an identical room in 3 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?", "role": "user" }, { "content": "Working together at their respective rates, how many hours would it take Kathleen and Anthony to paint two identical rooms, given Kathleen can paint a room in 2 hours and Anthony in 3 hours?", "role": "assistant" } ]
Working together at their respective rates, how many hours would it take Kathleen and Anthony to paint two identical rooms, given Kathleen can paint a room in 2 hours and Anthony in 3 hours?
kathleen can paint a room in 2 hours , and anthony can paint an identical room in 3 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?
a can run 2.7 km distance in 1 min 20 seconds , while b can run this distance in 1 min 30 sec . by how much distance can a beat b ?
[ { "content": "a can run 2.7 km distance in 1 min 20 seconds , while b can run this distance in 1 min 30 sec . by how much distance can a beat b ?", "role": "user" }, { "content": "How much farther can A run than B in the same time", "role": "assistant" } ]
How much farther can A run than B in the same time
a can run 2.7 km distance in 1 min 20 seconds , while b can run this distance in 1 min 30 sec . by how much distance can a beat b ?
how many different positive integers are factors of 25 ?
[ { "content": "how many different positive integers are factors of 25 ?", "role": "user" }, { "content": "What is the number of distinct positive factors of 25?", "role": "assistant" } ]
What is the number of distinct positive factors of 25?
how many different positive integers are factors of 25 ?
a parallelogram has a base that is four time the size of it ' s height . the total area of this parallelogram is 2,304 sq ft . what is the height of the parallelogram ?
[ { "content": "a parallelogram has a base that is four time the size of it ' s height . the total area of this parallelogram is 2,304 sq ft . what is the height of the parallelogram ?", "role": "user" }, { "content": "Given a parallelogram with a base four times its height and an area of 2,304 sq ft, what is the height of the parallelogram", "role": "assistant" } ]
Given a parallelogram with a base four times its height and an area of 2,304 sq ft, what is the height of the parallelogram
a parallelogram has a base that is four time the size of it ' s height . the total area of this parallelogram is 2,304 sq ft . what is the height of the parallelogram ?
how long does a train 150 m long traveling at 60 kmph takes to cross a bridge of 170 m in length ?
[ { "content": "how long does a train 150 m long traveling at 60 kmph takes to cross a bridge of 170 m in length ?", "role": "user" }, { "content": "What is the time taken by a 150m long train traveling at 60km/h to cross a 170m long bridge?", "role": "assistant" } ]
What is the time taken by a 150m long train traveling at 60km/h to cross a 170m long bridge?
how long does a train 150 m long traveling at 60 kmph takes to cross a bridge of 170 m in length ?
if a randomly selected non - negative single digit integer is added to { 2 , 3 , 4 , 7 } . what is the probability that the median of the set will increase but the range still remains the same ?
[ { "content": "if a randomly selected non - negative single digit integer is added to { 2 , 3 , 4 , 7 } . what is the probability that the median of the set will increase but the range still remains the same ?", "role": "user" }, { "content": "What is the probability that adding a randomly selected non-negative single digit integer to {2, 3, 4, 7} will increase the median without changing the range?", "role": "assistant" } ]
What is the probability that adding a randomly selected non-negative single digit integer to {2, 3, 4, 7} will increase the median without changing the range?
if a randomly selected non - negative single digit integer is added to { 2 , 3 , 4 , 7 } . what is the probability that the median of the set will increase but the range still remains the same ?
what is the remainder when the number w = 14 ^ 2 * 15 ^ 8 is divided by 5 ?
[ { "content": "what is the remainder when the number w = 14 ^ 2 * 15 ^ 8 is divided by 5 ?", "role": "user" }, { "content": "What is the remainder of w = 14^2 * 15^8 when divided by 5?", "role": "assistant" } ]
What is the remainder of w = 14^2 * 15^8 when divided by 5?
what is the remainder when the number w = 14 ^ 2 * 15 ^ 8 is divided by 5 ?
the product of two numbers is 2028 and their h . c . f is 13 . the number of such pairs is :
[ { "content": "the product of two numbers is 2028 and their h . c . f is 13 . the number of such pairs is :", "role": "user" }, { "content": "the product of two numbers is 2028 and their highest common factor is 13 , how many such pairs are there", "role": "assistant" } ]
the product of two numbers is 2028 and their highest common factor is 13 , how many such pairs are there
the product of two numbers is 2028 and their h . c . f is 13 . the number of such pairs is :
a student chose a number , multiplied it by 6 , then subtracted 250 from the result and got 122 . what was the number he chose ?
[ { "content": "a student chose a number , multiplied it by 6 , then subtracted 250 from the result and got 122 . what was the number he chose ?", "role": "user" }, { "content": "What number did the student initially select that, when multiplied by 6 and then reduced by 250, equaled 122?", "role": "assistant" } ]
What number did the student initially select that, when multiplied by 6 and then reduced by 250, equaled 122?
a student chose a number , multiplied it by 6 , then subtracted 250 from the result and got 122 . what was the number he chose ?
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 all prime numbers in the range 30 to 50?", "role": "assistant" } ]
What is the mean of all prime numbers in the range 30 to 50?
find the average of all prime numbers between 30 and 50
if the average marks of 3 batches of 55 , 60 and 45 students respectively is 40 , 62 , 58 , then the average marks of all the students is
[ { "content": "if the average marks of 3 batches of 55 , 60 and 45 students respectively is 40 , 62 , 58 , then the average marks of all the students is", "role": "user" }, { "content": "To find the overall average, we need to calculate the total marks for all students and divide by the total number of students. \n\nFirst, calculate the total marks for each batch:\nBatch 1: 55 students * 40 marks = 2200\nBatch 2: 60 students * 62 marks = 3720\nBatch 3: 45 students * 58 marks = 2610\n\nTotal marks for all students: 2200 + 3720 + 2610 = 8530\nTotal number of students: 55 + 60 + 45 = 160\n\nNow, calculate the overall average:\nOverall average = Total marks / Total number of students = 8530 / 160 ≈ 53.31", "role": "assistant" } ]
To find the overall average, we need to calculate the total marks for all students and divide by the total number of students. First, calculate the total marks for each batch: Batch 1: 55 students * 40 marks = 2200 Batch 2: 60 students * 62 marks = 3720 Batch 3: 45 students * 58 marks = 2610 Total marks for all students: 2200 + 3720 + 2610 = 8530 Total number of students: 55 + 60 + 45 = 160 Now, calculate the overall average: Overall average = Total marks / Total number of students = 8530 / 160 ≈ 53.31
if the average marks of 3 batches of 55 , 60 and 45 students respectively is 40 , 62 , 58 , then the average marks of all the students is
what is the sum of the integers from - 60 to 65 , inclusive ?
[ { "content": "what is the sum of the integers from - 60 to 65 , inclusive ?", "role": "user" }, { "content": "What is the total of all integers between -60 and 65, including both ?", "role": "assistant" } ]
What is the total of all integers between -60 and 65, including both ?
what is the sum of the integers from - 60 to 65 , inclusive ?
what is the sum of natural numbers between 60 and 100
[ { "content": "what is the sum of natural numbers between 60 and 100", "role": "user" }, { "content": "What is the total of all integers from 60 to 100", "role": "assistant" } ]
What is the total of all integers from 60 to 100
what is the sum of natural numbers between 60 and 100
in an election contested by two parties , party d secured 12 % of the total votes more than party r . if party r got 132000 votes , by how many votes did it lose the election ?
[ { "content": "in an election contested by two parties , party d secured 12 % of the total votes more than party r . if party r got 132000 votes , by how many votes did it lose the election ?", "role": "user" }, { "content": "In a two-party election, Party D received 12% more of the total votes than Party R. If Party R received 132,000 votes, what was the margin of its defeat?", "role": "assistant" } ]
In a two-party election, Party D received 12% more of the total votes than Party R. If Party R received 132,000 votes, what was the margin of its defeat?
in an election contested by two parties , party d secured 12 % of the total votes more than party r . if party r got 132000 votes , by how many votes did it lose the election ?
in measuring the sides of a rectangle , one side is taken 4 % in excess , and the other 3 % in deficit . find the error percent in the area calculated from these measurements .
[ { "content": "in measuring the sides of a rectangle , one side is taken 4 % in excess , and the other 3 % in deficit . find the error percent in the area calculated from these measurements .", "role": "user" }, { "content": "What is the percentage error in the calculated area of a rectangle when one side is overestimated by 4% and the other side is underestimated by 3%?", "role": "assistant" } ]
What is the percentage error in the calculated area of a rectangle when one side is overestimated by 4% and the other side is underestimated by 3%?
in measuring the sides of a rectangle , one side is taken 4 % in excess , and the other 3 % in deficit . find the error percent in the area calculated from these measurements .
a multiple choice test consists of 4 questions , and each question has 5 answer choices . in how many e ways can the test be completed if every question is unanswered ?
[ { "content": "a multiple choice test consists of 4 questions , and each question has 5 answer choices . in how many e ways can the test be completed if every question is unanswered ?", "role": "user" }, { "content": "In what ways can the test be completed if all questions are left unanswered?", "role": "assistant" } ]
In what ways can the test be completed if all questions are left unanswered?
a multiple choice test consists of 4 questions , and each question has 5 answer choices . in how many e ways can the test be completed if every question is unanswered ?
a and b undertake to do a piece of work for $ 600 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . find the share of a ?
[ { "content": "a and b undertake to do a piece of work for $ 600 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . find the share of a ?", "role": "user" }, { "content": "What is A's share of the $600 payment for the work completed in 3 days with the help of C, considering A can complete the work alone in 6 days and B in 8 days?", "role": "assistant" } ]
What is A's share of the $600 payment for the work completed in 3 days with the help of C, considering A can complete the work alone in 6 days and B in 8 days?
a and b undertake to do a piece of work for $ 600 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . find the share of a ?
two employees x and y are paid a total of rs . 660 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?
[ { "content": "two employees x and y are paid a total of rs . 660 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?", "role": "user" }, { "content": "How much does y earn per week if x is paid 120% of y's weekly salary, with both x and y receiving a combined total of Rs. 660 from their employer?", "role": "assistant" } ]
How much does y earn per week if x is paid 120% of y's weekly salary, with both x and y receiving a combined total of Rs. 660 from their employer?
two employees x and y are paid a total of rs . 660 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?
54671 - 10456 - 33466 = ?
[ { "content": "54671 - 10456 - 33466 = ?", "role": "user" }, { "content": "What is 54671 minus 10456 minus 33466?", "role": "assistant" } ]
What is 54671 minus 10456 minus 33466?
54671 - 10456 - 33466 = ?
a 250 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?
[ { "content": "a 250 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", "role": "user" }, { "content": "What is the length of the other train when a 250-meter long train, traveling at 120 km/h, crosses it in 9 seconds while the other train is moving in the opposite direction at 80 km/h?", "role": "assistant" } ]
What is the length of the other train when a 250-meter long train, traveling at 120 km/h, crosses it in 9 seconds while the other train is moving in the opposite direction at 80 km/h?
a 250 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?
the value of x + x ( xx ) when x = 7
[ { "content": "the value of x + x ( xx ) when x = 7", "role": "user" }, { "content": "the value of x squared + x when x equals 7", "role": "assistant" } ]
the value of x squared + x when x equals 7
the value of x + x ( xx ) when x = 7
in a class of 40 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 11 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ?
[ { "content": "in a class of 40 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 11 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ?", "role": "user" }, { "content": "With 40 students in the class, 2 had no library books, 12 had 1 book each, 11 had 2 books each, and the rest had at least 3; given the average of 2 books per student, what's the maximum any one student could have borrowed?", "role": "assistant" } ]
With 40 students in the class, 2 had no library books, 12 had 1 book each, 11 had 2 books each, and the rest had at least 3; given the average of 2 books per student, what's the maximum any one student could have borrowed?
in a class of 40 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 11 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ?
if ( t - 8 ) is a factor of t ^ 2 - kt - 45 , then k =
[ { "content": "if ( t - 8 ) is a factor of t ^ 2 - kt - 45 , then k =", "role": "user" }, { "content": "If (t - 8) is a factor of t^2 - kt - 45, then what is the value of k?", "role": "assistant" } ]
If (t - 8) is a factor of t^2 - kt - 45, then what is the value of k?
if ( t - 8 ) is a factor of t ^ 2 - kt - 45 , then k =
set a contains all the even numbers between 12 and 50 inclusive . set b contains all the even numbers between 112 and 150 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ?
[ { "content": "set a contains all the even numbers between 12 and 50 inclusive . set b contains all the even numbers between 112 and 150 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ?", "role": "user" }, { "content": "What is the difference between the sum of the even numbers from 112 to 150 and the sum of the even numbers from 12 to 50?", "role": "assistant" } ]
What is the difference between the sum of the even numbers from 112 to 150 and the sum of the even numbers from 12 to 50?
set a contains all the even numbers between 12 and 50 inclusive . set b contains all the even numbers between 112 and 150 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ?
how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 15 inches than that of a rectangular sheet of paper measuring 7.5 inches by 11 inches ?
[ { "content": "how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 15 inches than that of a rectangular sheet of paper measuring 7.5 inches by 11 inches ?", "role": "user" }, { "content": "What is the difference in combined surface area in square inches between a 11x15 inch and a 7.5x11 inch rectangular sheet of paper.", "role": "assistant" } ]
What is the difference in combined surface area in square inches between a 11x15 inch and a 7.5x11 inch rectangular sheet of paper.
how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 15 inches than that of a rectangular sheet of paper measuring 7.5 inches by 11 inches ?
the number 150 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?
[ { "content": "the number 150 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?", "role": "user" }, { "content": "What are the 3 integers whose squares add up to 150?", "role": "assistant" } ]
What are the 3 integers whose squares add up to 150?
the number 150 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?
find the area of a rhombus one side of which measures 20 cm and one diagonal is 24 cm ?
[ { "content": "find the area of a rhombus one side of which measures 20 cm and one diagonal is 24 cm ?", "role": "user" }, { "content": "What is the area of a rhombus with a side length of 20 cm and a diagonal of 24 cm?", "role": "assistant" } ]
What is the area of a rhombus with a side length of 20 cm and a diagonal of 24 cm?
find the area of a rhombus one side of which measures 20 cm and one diagonal is 24 cm ?
what is the least value of x . so that 22 x 57 is divisible by 3 .
[ { "content": "what is the least value of x . so that 22 x 57 is divisible by 3 .", "role": "user" }, { "content": "What is the smallest value of x that makes 22x57 divisible by 3?", "role": "assistant" } ]
What is the smallest value of x that makes 22x57 divisible by 3?
what is the least value of x . so that 22 x 57 is divisible by 3 .
in a forest 120 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?
[ { "content": "in a forest 120 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?", "role": "user" }, { "content": "Approximately how many deer are in the forest if the percentage of tagged deer in the second sample is representative of the entire forest and no deer entered or left the forest in the preceding week", "role": "assistant" } ]
Approximately how many deer are in the forest if the percentage of tagged deer in the second sample is representative of the entire forest and no deer entered or left the forest in the preceding week
in a forest 120 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?
if the selling price of 7 articles is same as the cost price of 10 articles . find the gain or loss percentage ?
[ { "content": "if the selling price of 7 articles is same as the cost price of 10 articles . find the gain or loss percentage ?", "role": "user" }, { "content": "What is the gain or loss percentage if the selling price of 7 items equals the cost price of 10 items?", "role": "assistant" } ]
What is the gain or loss percentage if the selling price of 7 items equals the cost price of 10 items?
if the selling price of 7 articles is same as the cost price of 10 articles . find the gain or loss percentage ?
the ratio of number of boys and girls in a school is 2 : 7 . if there are 360 students in the school , find the number of girls in the school ?
[ { "content": "the ratio of number of boys and girls in a school is 2 : 7 . if there are 360 students in the school , find the number of girls in the school ?", "role": "user" }, { "content": "Given a 2:7 boy-to-girl ratio in a school with 360 students, how many girls attend the school?", "role": "assistant" } ]
Given a 2:7 boy-to-girl ratio in a school with 360 students, how many girls attend the school?
the ratio of number of boys and girls in a school is 2 : 7 . if there are 360 students in the school , find the number of girls in the school ?
a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 30 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ?
[ { "content": "a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 30 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ?", "role": "user" }, { "content": "What is the cost of a 3-liter solution with 1 liter of spirit and 2 liters of water, given the cost is directly proportional to the spirit fraction and a 1:1 solution costs 30 cents?", "role": "assistant" } ]
What is the cost of a 3-liter solution with 1 liter of spirit and 2 liters of water, given the cost is directly proportional to the spirit fraction and a 1:1 solution costs 30 cents?
a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 30 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ?
you need to print a document of the area 216 sq cm . condition is 3 cm margin is to be left at both top & bottom and 2 cm at the sides . what is the optimized size of your paper ?
[ { "content": "you need to print a document of the area 216 sq cm . condition is 3 cm margin is to be left at both top & bottom and 2 cm at the sides . what is the optimized size of your paper ?", "role": "user" }, { "content": "What is the most efficient paper size to print a 216 sq cm document with 3 cm top and bottom margins and 2 cm side margins?", "role": "assistant" } ]
What is the most efficient paper size to print a 216 sq cm document with 3 cm top and bottom margins and 2 cm side margins?
you need to print a document of the area 216 sq cm . condition is 3 cm margin is to be left at both top & bottom and 2 cm at the sides . what is the optimized size of your paper ?
find the average of all numbers between 1 and 13 which are divisible by 2
[ { "content": "find the average of all numbers between 1 and 13 which are divisible by 2", "role": "user" }, { "content": "What is the mean of the even numbers from 1 to 13?", "role": "assistant" } ]
What is the mean of the even numbers from 1 to 13?
find the average of all numbers between 1 and 13 which are divisible by 2
if x / y = 5 / 3 , then ( x + y ) / ( x - y ) = ?
[ { "content": "if x / y = 5 / 3 , then ( x + y ) / ( x - y ) = ?", "role": "user" }, { "content": "What is the value of ( x + y ) / ( x - y ) if the ratio of x to y is 5 to 3 ?", "role": "assistant" } ]
What is the value of ( x + y ) / ( x - y ) if the ratio of x to y is 5 to 3 ?
if x / y = 5 / 3 , then ( x + y ) / ( x - y ) = ?
a number , when 35 is subtracted from it , reduces to its 80 percent . what is 4 - fifth of that number ?
[ { "content": "a number , when 35 is subtracted from it , reduces to its 80 percent . what is 4 - fifth of that number ?", "role": "user" }, { "content": "If 35 is subtracted from a number and it becomes 80% of itself, what is four-fifths of that number?", "role": "assistant" } ]
If 35 is subtracted from a number and it becomes 80% of itself, what is four-fifths of that number?
a number , when 35 is subtracted from it , reduces to its 80 percent . what is 4 - fifth of that number ?
a broker invested her own money in the stock market . during the first year , she increased her stock market wealth by 40 percent . in the second year , largely as a result of a slump in the stock market , she suffered a 30 percent decrease in the value of her stock investments . what was the net increase or decrease on her overall stock investment wealth by the end of the second year ?
[ { "content": "a broker invested her own money in the stock market . during the first year , she increased her stock market wealth by 40 percent . in the second year , largely as a result of a slump in the stock market , she suffered a 30 percent decrease in the value of her stock investments . what was the net increase or decrease on her overall stock investment wealth by the end of the second year ?", "role": "user" }, { "content": "A broker invested her own money in the stock market. During the first year, her stock market wealth increased by 40 percent. In the second year, largely due to a stock market slump, her stock investments decreased by 30 percent. What was the net change in her overall stock investment wealth by the end of the second year?", "role": "assistant" } ]
A broker invested her own money in the stock market. During the first year, her stock market wealth increased by 40 percent. In the second year, largely due to a stock market slump, her stock investments decreased by 30 percent. What was the net change in her overall stock investment wealth by the end of the second year?
a broker invested her own money in the stock market . during the first year , she increased her stock market wealth by 40 percent . in the second year , largely as a result of a slump in the stock market , she suffered a 30 percent decrease in the value of her stock investments . what was the net increase or decrease on her overall stock investment wealth by the end of the second year ?
a library has an average of 425 visitors on sundays and 325 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is :
[ { "content": "a library has an average of 425 visitors on sundays and 325 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is :", "role": "user" }, { "content": "In a 30-day month that starts on a Sunday, what is the average number of visitors per day in a library that receives 425 visitors on Sundays and 325 on other days?", "role": "assistant" } ]
In a 30-day month that starts on a Sunday, what is the average number of visitors per day in a library that receives 425 visitors on Sundays and 325 on other days?
a library has an average of 425 visitors on sundays and 325 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is :
from a pack of 52 cards , two cards are drawn together at random . what is the probability that the one is heart and other two is diamond ?
[ { "content": "from a pack of 52 cards , two cards are drawn together at random . what is the probability that the one is heart and other two is diamond ?", "role": "user" }, { "content": "From a 52-card deck, two cards are randomly drawn; what's the likelihood that one is a heart and the other a diamond?", "role": "assistant" } ]
From a 52-card deck, two cards are randomly drawn; what's the likelihood that one is a heart and the other a diamond?
from a pack of 52 cards , two cards are drawn together at random . what is the probability that the one is heart and other two is diamond ?
the sector of a circle has radius of 14 cm and its perimeter 50 cm . find its central angel ?
[ { "content": "the sector of a circle has radius of 14 cm and its perimeter 50 cm . find its central angel ?", "role": "user" }, { "content": "What is the central angle of a sector with a radius of 14 cm and a perimeter of 50 cm?", "role": "assistant" } ]
What is the central angle of a sector with a radius of 14 cm and a perimeter of 50 cm?
the sector of a circle has radius of 14 cm and its perimeter 50 cm . find its central angel ?
a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction q of the sum of the 21 numbers in the list ?
[ { "content": "a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction q of the sum of the 21 numbers in the list ?", "role": "user" }, { "content": "What fraction of the total sum of 21 numbers is 'n', if 'n' is 4 times the average of the other 20 numbers in the list?", "role": "assistant" } ]
What fraction of the total sum of 21 numbers is 'n', if 'n' is 4 times the average of the other 20 numbers in the list?
a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction q of the sum of the 21 numbers in the list ?
if 12 men can reap 120 acres of land in 16 days , how many acres of land can 36 men reap in 32 days ?
[ { "content": "if 12 men can reap 120 acres of land in 16 days , how many acres of land can 36 men reap in 32 days ?", "role": "user" }, { "content": "If 12 men can harvest 120 acres of land in 16 days, how many acres of land can 36 men harvest in 32 days?", "role": "assistant" } ]
If 12 men can harvest 120 acres of land in 16 days, how many acres of land can 36 men harvest in 32 days?
if 12 men can reap 120 acres of land in 16 days , how many acres of land can 36 men reap in 32 days ?
in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 4 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?
[ { "content": "in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 4 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?", "role": "user" }, { "content": "In a certain pond, 50 fish were caught, marked, and released. A few days later, 50 fish were caught again, of which 4 were marked. If the percentage of marked fish in the second catch is close to the percentage of marked fish in the pond, what is the approximate number of fish in the pond?", "role": "assistant" } ]
In a certain pond, 50 fish were caught, marked, and released. A few days later, 50 fish were caught again, of which 4 were marked. If the percentage of marked fish in the second catch is close to the percentage of marked fish in the pond, what is the approximate number of fish in the pond?
in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 4 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?
a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5 . if the total runs scored by all of them are 75 , the runs scored by b are ?
[ { "content": "a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5 . if the total runs scored by all of them are 75 , the runs scored by b are ?", "role": "user" }, { "content": "Here's a paraphrased version of the text:\n\nA, B, and C participate in a cricket match with run ratios of A:B = 2:3 and B:C = 2:5. Given the total runs scored is 75, what are the runs scored by B?", "role": "assistant" } ]
Here's a paraphrased version of the text: A, B, and C participate in a cricket match with run ratios of A:B = 2:3 and B:C = 2:5. Given the total runs scored is 75, what are the runs scored by B?
a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5 . if the total runs scored by all of them are 75 , the runs scored by b are ?
the hcf and lcm of two numbers m and n are respectively 8 and 200 . if m + n = 84 , then 1 / m + 1 / n is equal to
[ { "content": "the hcf and lcm of two numbers m and n are respectively 8 and 200 . if m + n = 84 , then 1 / m + 1 / n is equal to", "role": "user" }, { "content": "The HCF and LCM of two numbers M and N are 8 and 200, respectively. If M + N = 84, what is 1/M + 1/N equal to?", "role": "assistant" } ]
The HCF and LCM of two numbers M and N are 8 and 200, respectively. If M + N = 84, what is 1/M + 1/N equal to?
the hcf and lcm of two numbers m and n are respectively 8 and 200 . if m + n = 84 , then 1 / m + 1 / n is equal to
an inspector rejects 0.04 % of the meters as defective . how many will he examine to reject 2 ?
[ { "content": "an inspector rejects 0.04 % of the meters as defective . how many will he examine to reject 2 ?", "role": "user" }, { "content": "To reject 2 meters, how many will an inspector need to examine if he rejects 0.04% of them as defective?", "role": "assistant" } ]
To reject 2 meters, how many will an inspector need to examine if he rejects 0.04% of them as defective?
an inspector rejects 0.04 % of the meters as defective . how many will he examine to reject 2 ?
john makes $ 50 a week from his job . he earns a raise andnow makes $ 90 a week . what is the % increase ?
[ { "content": "john makes $ 50 a week from his job . he earns a raise andnow makes $ 90 a week . what is the % increase ?", "role": "user" }, { "content": "What is the percentage by which John's weekly income increased after his raise from $50 to $90?", "role": "assistant" } ]
What is the percentage by which John's weekly income increased after his raise from $50 to $90?
john makes $ 50 a week from his job . he earns a raise andnow makes $ 90 a week . what is the % increase ?
a father said his son , ` ` i was as old as you are at present at the time of your birth . ` ` if the father age is 48 now , the son age 5 years back was
[ { "content": "a father said his son , ` ` i was as old as you are at present at the time of your birth . ` ` if the father age is 48 now , the son age 5 years back was", "role": "user" }, { "content": "A father told his son, \"I was your current age when you were born.\" If the father is 48 now, what was the son's age 5 years ago?", "role": "assistant" } ]
A father told his son, "I was your current age when you were born." If the father is 48 now, what was the son's age 5 years ago?
a father said his son , ` ` i was as old as you are at present at the time of your birth . ` ` if the father age is 48 now , the son age 5 years back was
a man can row upstream at 25 kmph and downstream at 43 kmph , and then find the speed of the man in still water ?
[ { "content": "a man can row upstream at 25 kmph and downstream at 43 kmph , and then find the speed of the man in still water ?", "role": "user" }, { "content": "What is the speed of the man in still water if he can row upstream at 25 kmph and downstream at 43 kmph?", "role": "assistant" } ]
What is the speed of the man in still water if he can row upstream at 25 kmph and downstream at 43 kmph?
a man can row upstream at 25 kmph and downstream at 43 kmph , and then find the speed of the man in still water ?
if | x - 20 | = 40 what is the sum of all the values of x .
[ { "content": "if | x - 20 | = 40 what is the sum of all the values of x .", "role": "user" }, { "content": "What is the sum of all x values if the absolute difference between x and 20 is 40?", "role": "assistant" } ]
What is the sum of all x values if the absolute difference between x and 20 is 40?
if | x - 20 | = 40 what is the sum of all the values of x .
a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 12 miles per gallon , and from town b to town c , the car averaged 14 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ?
[ { "content": "a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 12 miles per gallon , and from town b to town c , the car averaged 14 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ?", "role": "user" }, { "content": "What was the overall miles per gallon for the entire trip from A to C through B, given that the car averaged 12 miles per gallon from A to B and 14 miles per gallon from B to C, and it traveled twice as many miles from A to B as from B to C?", "role": "assistant" } ]
What was the overall miles per gallon for the entire trip from A to C through B, given that the car averaged 12 miles per gallon from A to B and 14 miles per gallon from B to C, and it traveled twice as many miles from A to B as from B to C?
a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 12 miles per gallon , and from town b to town c , the car averaged 14 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ?