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some persons can do a piece of work in 32 days . two times the number of these people will do half of that work in ?
|
[
{
"content": "some persons can do a piece of work in 32 days . two times the number of these people will do half of that work in ?",
"role": "user"
},
{
"content": "Some people can complete a task in 32 days, so how long will it take twice as many people to finish half the task?",
"role": "assistant"
}
] |
Some people can complete a task in 32 days, so how long will it take twice as many people to finish half the task?
|
some persons can do a piece of work in 32 days . two times the number of these people will do half of that work in ?
|
what is the units digit of 33 ^ 2 * 17 ^ 3 * 39 ^ 2 ?
|
[
{
"content": "what is the units digit of 33 ^ 2 * 17 ^ 3 * 39 ^ 2 ?",
"role": "user"
},
{
"content": "What is the units digit of the product of 33 squared, 17 cubed, and 39 squared?",
"role": "assistant"
}
] |
What is the units digit of the product of 33 squared, 17 cubed, and 39 squared?
|
what is the units digit of 33 ^ 2 * 17 ^ 3 * 39 ^ 2 ?
|
a department of 10 people - 6 men and 4 women - needs to send a team of 5 to a conference . if they want to make sure that there are no more than 3 members of the team from any one gender , how many distinct groups are possible to send ?
|
[
{
"content": "a department of 10 people - 6 men and 4 women - needs to send a team of 5 to a conference . if they want to make sure that there are no more than 3 members of the team from any one gender , how many distinct groups are possible to send ?",
"role": "user"
},
{
"content": "How many distinct groups of 5 can be formed from a department of 10 people, with 6 men and 4 women, ensuring no more than 3 members from any one gender are included?",
"role": "assistant"
}
] |
How many distinct groups of 5 can be formed from a department of 10 people, with 6 men and 4 women, ensuring no more than 3 members from any one gender are included?
|
a department of 10 people - 6 men and 4 women - needs to send a team of 5 to a conference . if they want to make sure that there are no more than 3 members of the team from any one gender , how many distinct groups are possible to send ?
|
an error 3 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ?
|
[
{
"content": "an error 3 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ?",
"role": "user"
},
{
"content": "If there is a 3% error when measuring the side of a square, what is the resulting percentage error in the calculated area of the square?",
"role": "assistant"
}
] |
If there is a 3% error when measuring the side of a square, what is the resulting percentage error in the calculated area of the square?
|
an error 3 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ?
|
uncle bruce is baking chocolate chip cookies . he has 40 ounces of dough ( with no chocolate ) and 20 ounces of chocolate . how much chocolate is left over if he uses all the dough but only wants the cookies to consist of 25 % chocolate ?
|
[
{
"content": "uncle bruce is baking chocolate chip cookies . he has 40 ounces of dough ( with no chocolate ) and 20 ounces of chocolate . how much chocolate is left over if he uses all the dough but only wants the cookies to consist of 25 % chocolate ?",
"role": "user"
},
{
"content": "Uncle Bruce is baking chocolate chip cookies. He has 40 ounces of dough (with no chocolate) and 20 ounces of chocolate. What amount of chocolate remains if he uses all the dough but only wants the cookies to consist of 25% chocolate?",
"role": "assistant"
}
] |
Uncle Bruce is baking chocolate chip cookies. He has 40 ounces of dough (with no chocolate) and 20 ounces of chocolate. What amount of chocolate remains if he uses all the dough but only wants the cookies to consist of 25% chocolate?
|
uncle bruce is baking chocolate chip cookies . he has 40 ounces of dough ( with no chocolate ) and 20 ounces of chocolate . how much chocolate is left over if he uses all the dough but only wants the cookies to consist of 25 % chocolate ?
|
two pipes a and b can separately fill a tank in 10 and 15 minutes respectively . a third pipe c can drain off 20 liters of water per minute . if all the pipes are opened , the tank can be filled in 15 minutes . what is the capacity of the tank ?
|
[
{
"content": "two pipes a and b can separately fill a tank in 10 and 15 minutes respectively . a third pipe c can drain off 20 liters of water per minute . if all the pipes are opened , the tank can be filled in 15 minutes . what is the capacity of the tank ?",
"role": "user"
},
{
"content": "What is the capacity of the tank if two pipes, A and B, can fill it in 10 and 15 minutes, while a third pipe, C, drains 20 liters per minute, and all pipes together fill the tank in 15 minutes",
"role": "assistant"
}
] |
What is the capacity of the tank if two pipes, A and B, can fill it in 10 and 15 minutes, while a third pipe, C, drains 20 liters per minute, and all pipes together fill the tank in 15 minutes
|
two pipes a and b can separately fill a tank in 10 and 15 minutes respectively . a third pipe c can drain off 20 liters of water per minute . if all the pipes are opened , the tank can be filled in 15 minutes . what is the capacity of the tank ?
|
a and b started a business investing rs . 90,000 and rs 25,000 respectively . in what ratio the profit earned after 2 years be divided between a and b respectively ?
|
[
{
"content": "a and b started a business investing rs . 90,000 and rs 25,000 respectively . in what ratio the profit earned after 2 years be divided between a and b respectively ?",
"role": "user"
},
{
"content": "In what ratio should the profit earned after 2 years be divided between A and B, who invested Rs 90,000 and Rs 25,000 respectively in their business?",
"role": "assistant"
}
] |
In what ratio should the profit earned after 2 years be divided between A and B, who invested Rs 90,000 and Rs 25,000 respectively in their business?
|
a and b started a business investing rs . 90,000 and rs 25,000 respectively . in what ratio the profit earned after 2 years be divided between a and b respectively ?
|
we invested a total of $ 1,000 . we invested one part of the money at 3 % and the rest of the money at 4 % . the total investment with interest at the end of the year was $ 1 , 036.70 . how much money did we invest at 3 % ?
|
[
{
"content": "we invested a total of $ 1,000 . we invested one part of the money at 3 % and the rest of the money at 4 % . the total investment with interest at the end of the year was $ 1 , 036.70 . how much money did we invest at 3 % ?",
"role": "user"
},
{
"content": "At what amount was the money invested at 3%?",
"role": "assistant"
}
] |
At what amount was the money invested at 3%?
|
we invested a total of $ 1,000 . we invested one part of the money at 3 % and the rest of the money at 4 % . the total investment with interest at the end of the year was $ 1 , 036.70 . how much money did we invest at 3 % ?
|
how many positive integers less than 400 can be formed using the numbers 1 , 2 , 3 and 5 for the digits ?
|
[
{
"content": "how many positive integers less than 400 can be formed using the numbers 1 , 2 , 3 and 5 for the digits ?",
"role": "user"
},
{
"content": "What is the number of positive integers less than 400 that can be created using the digits 1, 2, 3, and 5?",
"role": "assistant"
}
] |
What is the number of positive integers less than 400 that can be created using the digits 1, 2, 3, and 5?
|
how many positive integers less than 400 can be formed using the numbers 1 , 2 , 3 and 5 for the digits ?
|
forks , spoons , and knives in drawer are in the ratio of 4 : 4 : 3 . if there are 16 forks , the number of knives in the drawer is :
|
[
{
"content": "forks , spoons , and knives in drawer are in the ratio of 4 : 4 : 3 . if there are 16 forks , the number of knives in the drawer is :",
"role": "user"
},
{
"content": "forks , spoons , and knives in drawer are in the ratio of 4 : 4 : 3 . if there are 16 forks , the number of knives in the drawer is",
"role": "assistant"
}
] |
forks , spoons , and knives in drawer are in the ratio of 4 : 4 : 3 . if there are 16 forks , the number of knives in the drawer is
|
forks , spoons , and knives in drawer are in the ratio of 4 : 4 : 3 . if there are 16 forks , the number of knives in the drawer is :
|
what is the smallest positive integer x such that 450 x is the cube of a positive integer ?
|
[
{
"content": "what is the smallest positive integer x such that 450 x is the cube of a positive integer ?",
"role": "user"
},
{
"content": "What is the least positive integer x for which 450x is a perfect cube ?",
"role": "assistant"
}
] |
What is the least positive integer x for which 450x is a perfect cube ?
|
what is the smallest positive integer x such that 450 x is the cube of a positive integer ?
|
in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 6000 , the number of valid votes that the other candidate got , was :
|
[
{
"content": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 6000 , the number of valid votes that the other candidate got , was :",
"role": "user"
},
{
"content": "In an election with 6000 total votes and 20% being invalid, what was the number of valid votes received by the candidate who didn't get 55% of the valid votes?",
"role": "assistant"
}
] |
In an election with 6000 total votes and 20% being invalid, what was the number of valid votes received by the candidate who didn't get 55% of the valid votes?
|
in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 6000 , the number of valid votes that the other candidate got , was :
|
10 : 4 seconds : : ? : 6 minutes
|
[
{
"content": "10 : 4 seconds : : ? : 6 minutes",
"role": "user"
},
{
"content": "10 seconds is to 4 seconds as ? seconds is to 6 minutes",
"role": "assistant"
}
] |
10 seconds is to 4 seconds as ? seconds is to 6 minutes
|
10 : 4 seconds : : ? : 6 minutes
|
a train passes a platform in 36 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is
|
[
{
"content": "a train passes a platform in 36 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text while preserving its original structure and semantics:\n\nA train takes 36 seconds to pass a platform and 20 seconds to pass a man on the platform. If the train's speed is 54 km/hr, what is the length of the platform?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text while preserving its original structure and semantics:
A train takes 36 seconds to pass a platform and 20 seconds to pass a man on the platform. If the train's speed is 54 km/hr, what is the length of the platform?
|
a train passes a platform in 36 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is
|
rs . 6000 is lent out in two parts . one part is lent at 2 % p . a simple interest and the other is lent at 10 % p . a simple interest . the total interest at the end of one year was rs . 450 . find the ratio of the amounts lent at the lower rate and higher rate of interest ?
|
[
{
"content": "rs . 6000 is lent out in two parts . one part is lent at 2 % p . a simple interest and the other is lent at 10 % p . a simple interest . the total interest at the end of one year was rs . 450 . find the ratio of the amounts lent at the lower rate and higher rate of interest ?",
"role": "user"
},
{
"content": "What is the ratio of the amounts lent at 2% and 10% simple interest rates given that the total interest earned from lending Rs. 6000 in two parts for one year is Rs. 450?",
"role": "assistant"
}
] |
What is the ratio of the amounts lent at 2% and 10% simple interest rates given that the total interest earned from lending Rs. 6000 in two parts for one year is Rs. 450?
|
rs . 6000 is lent out in two parts . one part is lent at 2 % p . a simple interest and the other is lent at 10 % p . a simple interest . the total interest at the end of one year was rs . 450 . find the ratio of the amounts lent at the lower rate and higher rate of interest ?
|
if two dice are thrown together , the probability of getting a doublet on the dice is
|
[
{
"content": "if two dice are thrown together , the probability of getting a doublet on the dice is",
"role": "user"
},
{
"content": "what is the probability of getting a doublet when two dice are thrown together",
"role": "assistant"
}
] |
what is the probability of getting a doublet when two dice are thrown together
|
if two dice are thrown together , the probability of getting a doublet on the dice is
|
how many different positive integers are factors of 64 ?
|
[
{
"content": "how many different positive integers are factors of 64 ?",
"role": "user"
},
{
"content": "What is the number of positive integer factors of 64?",
"role": "assistant"
}
] |
What is the number of positive integer factors of 64?
|
how many different positive integers are factors of 64 ?
|
the ratio of the volumes of two cubes is 343 : 512 . what is the ratio of their total surface areas ?
|
[
{
"content": "the ratio of the volumes of two cubes is 343 : 512 . what is the ratio of their total surface areas ?",
"role": "user"
},
{
"content": "Given that the volume ratio of two cubes is 343:512, what is the ratio of their total surface areas?",
"role": "assistant"
}
] |
Given that the volume ratio of two cubes is 343:512, what is the ratio of their total surface areas?
|
the ratio of the volumes of two cubes is 343 : 512 . what is the ratio of their total surface areas ?
|
a 6 % stock yields 9 % . the market value of the stock is :
|
[
{
"content": "a 6 % stock yields 9 % . the market value of the stock is :",
"role": "user"
},
{
"content": "At a 6% yield, what is the market value of a 9% stock?",
"role": "assistant"
}
] |
At a 6% yield, what is the market value of a 9% stock?
|
a 6 % stock yields 9 % . the market value of the stock is :
|
jean drew a gumball at random from a jar of pink and blue gumballs . since the gumball she selected was blue and she wanted a pink one , she replaced it and drew another . the second gumball also happened to be blue and she replaced it as well . if the probability of her drawing the two blue gumballs was 25 / 36 , what is the probability that the next one she draws will be pink ?
|
[
{
"content": "jean drew a gumball at random from a jar of pink and blue gumballs . since the gumball she selected was blue and she wanted a pink one , she replaced it and drew another . the second gumball also happened to be blue and she replaced it as well . if the probability of her drawing the two blue gumballs was 25 / 36 , what is the probability that the next one she draws will be pink ?",
"role": "user"
},
{
"content": "If Jean drew two blue gumballs with a probability of 25/36, what is the likelihood that the next gumball she draws will be pink?",
"role": "assistant"
}
] |
If Jean drew two blue gumballs with a probability of 25/36, what is the likelihood that the next gumball she draws will be pink?
|
jean drew a gumball at random from a jar of pink and blue gumballs . since the gumball she selected was blue and she wanted a pink one , she replaced it and drew another . the second gumball also happened to be blue and she replaced it as well . if the probability of her drawing the two blue gumballs was 25 / 36 , what is the probability that the next one she draws will be pink ?
|
if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 253 games will be played during the tournament . what is the number of participants ?
|
[
{
"content": "if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 253 games will be played during the tournament . what is the number of participants ?",
"role": "user"
},
{
"content": "How many participants are there if each one plays exactly one game with each of the other participants, resulting in 253 games played during the tournament?",
"role": "assistant"
}
] |
How many participants are there if each one plays exactly one game with each of the other participants, resulting in 253 games played during the tournament?
|
if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 253 games will be played during the tournament . what is the number of participants ?
|
it takes 10 days for digging a trench of 100 m long , 50 m broad and 10 m deep . what length of trench , 25 m broad and 15 m deep can be dug in 30 days ?
|
[
{
"content": "it takes 10 days for digging a trench of 100 m long , 50 m broad and 10 m deep . what length of trench , 25 m broad and 15 m deep can be dug in 30 days ?",
"role": "user"
},
{
"content": "If it takes 10 days to dig a 100m long, 50m wide, and 10m deep trench, how long of a trench that is 25m wide and 15m deep can be dug in 30 days?",
"role": "assistant"
}
] |
If it takes 10 days to dig a 100m long, 50m wide, and 10m deep trench, how long of a trench that is 25m wide and 15m deep can be dug in 30 days?
|
it takes 10 days for digging a trench of 100 m long , 50 m broad and 10 m deep . what length of trench , 25 m broad and 15 m deep can be dug in 30 days ?
|
if 20 men can build a water fountain 56 metres long in 3 days , what length of a similar water fountain can be built by 35 men in 3 days ?
|
[
{
"content": "if 20 men can build a water fountain 56 metres long in 3 days , what length of a similar water fountain can be built by 35 men in 3 days ?",
"role": "user"
},
{
"content": "If 20 men can build a 56-meter-long water fountain in 3 days, what length of a similar water fountain can 35 men build in the same amount of time?",
"role": "assistant"
}
] |
If 20 men can build a 56-meter-long water fountain in 3 days, what length of a similar water fountain can 35 men build in the same amount of time?
|
if 20 men can build a water fountain 56 metres long in 3 days , what length of a similar water fountain can be built by 35 men in 3 days ?
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p has $ 63 more than what q and r together would have had if both b and c had 1 / 9 of what p has . how much does p have ?
|
[
{
"content": "p has $ 63 more than what q and r together would have had if both b and c had 1 / 9 of what p has . how much does p have ?",
"role": "user"
},
{
"content": "What amount does p have, if p has $63 more than the combined amount q and r would have had if b and c each had 1/9 of p's amount?",
"role": "assistant"
}
] |
What amount does p have, if p has $63 more than the combined amount q and r would have had if b and c each had 1/9 of p's amount?
|
p has $ 63 more than what q and r together would have had if both b and c had 1 / 9 of what p has . how much does p have ?
|
a train running at the speed of 110 km / hr crosses a pole in 9 sec . what is the length of the train ?
|
[
{
"content": "a train running at the speed of 110 km / hr crosses a pole in 9 sec . what is the length of the train ?",
"role": "user"
},
{
"content": "What is the length of a train that crosses a pole at a speed of 110 km/hr in 9 seconds?",
"role": "assistant"
}
] |
What is the length of a train that crosses a pole at a speed of 110 km/hr in 9 seconds?
|
a train running at the speed of 110 km / hr crosses a pole in 9 sec . what is the length of the train ?
|
if 2 ^ y = 4 ^ ( 5 x + 3 ) and 3 ^ ( x - 7 ) = 9 ^ y , what is the value of x + y ?
|
[
{
"content": "if 2 ^ y = 4 ^ ( 5 x + 3 ) and 3 ^ ( x - 7 ) = 9 ^ y , what is the value of x + y ?",
"role": "user"
},
{
"content": "If 2 raised to the power of y equals 4 raised to the power of 5x plus 3, and 3 raised to the power of x minus 7 equals 9 raised to the power of y, what is the sum of x and y.",
"role": "assistant"
}
] |
If 2 raised to the power of y equals 4 raised to the power of 5x plus 3, and 3 raised to the power of x minus 7 equals 9 raised to the power of y, what is the sum of x and y.
|
if 2 ^ y = 4 ^ ( 5 x + 3 ) and 3 ^ ( x - 7 ) = 9 ^ y , what is the value of x + y ?
|
a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 140 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?
|
[
{
"content": "a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 140 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?",
"role": "user"
},
{
"content": "A jogger running at 9 km/hr beside a railway track is 240m ahead of a 140m long train traveling in the same direction at 45 km/hr; how long will it take for the train to overtake the jogger?",
"role": "assistant"
}
] |
A jogger running at 9 km/hr beside a railway track is 240m ahead of a 140m long train traveling in the same direction at 45 km/hr; how long will it take for the train to overtake the jogger?
|
a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 140 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?
|
of the 75 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ?
|
[
{
"content": "of the 75 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ?",
"role": "user"
},
{
"content": "What is the number of houses in the development that do not have either a two-car garage or an in-the-ground swimming pool?",
"role": "assistant"
}
] |
What is the number of houses in the development that do not have either a two-car garage or an in-the-ground swimming pool?
|
of the 75 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ?
|
if the price of a certain computer increased 30 percent from a dollars to 351 dollars , then 2 a =
|
[
{
"content": "if the price of a certain computer increased 30 percent from a dollars to 351 dollars , then 2 a =",
"role": "user"
},
{
"content": "If the price of a certain computer increased by 30% from a dollars to 351 dollars, then 2a equals",
"role": "assistant"
}
] |
If the price of a certain computer increased by 30% from a dollars to 351 dollars, then 2a equals
|
if the price of a certain computer increased 30 percent from a dollars to 351 dollars , then 2 a =
|
in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability w this college graduate has a graduate degree ?
|
[
{
"content": "in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability w this college graduate has a graduate degree ?",
"role": "user"
},
{
"content": "What is the likelihood that a randomly chosen college graduate from this large company holds a graduate degree, given the ratio of college graduates with a graduate degree to non-college graduates is 1:8 and the ratio of college graduates without a graduate degree to non-college graduates is 2:3?",
"role": "assistant"
}
] |
What is the likelihood that a randomly chosen college graduate from this large company holds a graduate degree, given the ratio of college graduates with a graduate degree to non-college graduates is 1:8 and the ratio of college graduates without a graduate degree to non-college graduates is 2:3?
|
in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability w this college graduate has a graduate degree ?
|
what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 25 % ?
|
[
{
"content": "what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 25 % ?",
"role": "user"
},
{
"content": "What percentage profit is earned when an item is sold at a specific price, given that selling it at two-thirds of that price results in a 25% loss?",
"role": "assistant"
}
] |
What percentage profit is earned when an item is sold at a specific price, given that selling it at two-thirds of that price results in a 25% loss?
|
what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 25 % ?
|
how many 5 - digit numbers are there , if the two leftmost digits are even , the other digits are odd and the digit 2 can not appear more than once in the number .
|
[
{
"content": "how many 5 - digit numbers are there , if the two leftmost digits are even , the other digits are odd and the digit 2 can not appear more than once in the number .",
"role": "user"
},
{
"content": "What is the count of 5-digit numbers with the two leftmost digits being even, the rest odd, and no more than one occurrence of the digit 2?",
"role": "assistant"
}
] |
What is the count of 5-digit numbers with the two leftmost digits being even, the rest odd, and no more than one occurrence of the digit 2?
|
how many 5 - digit numbers are there , if the two leftmost digits are even , the other digits are odd and the digit 2 can not appear more than once in the number .
|
a bucket full of nuts was discovered by the crow living in the basement . the crow eats a sixth of the total number of nuts in 4 hours . how many hours i total will it take the crow to finish a quarter of the nuts ?
|
[
{
"content": "a bucket full of nuts was discovered by the crow living in the basement . the crow eats a sixth of the total number of nuts in 4 hours . how many hours i total will it take the crow to finish a quarter of the nuts ?",
"role": "user"
},
{
"content": "a bucket full of nuts was discovered by the crow living in the basement . the crow eats a sixth of the total number of nuts in 4 hours . how many hours in total will it take the crow to finish a quarter of the nuts",
"role": "assistant"
}
] |
a bucket full of nuts was discovered by the crow living in the basement . the crow eats a sixth of the total number of nuts in 4 hours . how many hours in total will it take the crow to finish a quarter of the nuts
|
a bucket full of nuts was discovered by the crow living in the basement . the crow eats a sixth of the total number of nuts in 4 hours . how many hours i total will it take the crow to finish a quarter of the nuts ?
|
alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1081 . find the cost of each ice - cream cup ?
|
[
{
"content": "alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1081 . find the cost of each ice - cream cup ?",
"role": "user"
},
{
"content": "What is the cost of each ice-cream cup that Alok ordered, given that he ordered 16 chapatis at Rs. 6 each, 5 plates of rice at Rs. 45 each, and 7 plates of mixed vegetable at Rs. 70 each, and his total bill was Rs. 1081?",
"role": "assistant"
}
] |
What is the cost of each ice-cream cup that Alok ordered, given that he ordered 16 chapatis at Rs. 6 each, 5 plates of rice at Rs. 45 each, and 7 plates of mixed vegetable at Rs. 70 each, and his total bill was Rs. 1081?
|
alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1081 . find the cost of each ice - cream cup ?
|
selling an kite for rs . 30 , a shop keeper gains 40 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?
|
[
{
"content": "selling an kite for rs . 30 , a shop keeper gains 40 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?",
"role": "user"
},
{
"content": "A shopkeeper sells a kite for 30 rupees with a 40% gain. If there's a 10% discount during a clearance sale, what's the shopkeeper's gain percentage then?",
"role": "assistant"
}
] |
A shopkeeper sells a kite for 30 rupees with a 40% gain. If there's a 10% discount during a clearance sale, what's the shopkeeper's gain percentage then?
|
selling an kite for rs . 30 , a shop keeper gains 40 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?
|
how many factors of 30 are odd numbers greater than 1 ?
|
[
{
"content": "how many factors of 30 are odd numbers greater than 1 ?",
"role": "user"
},
{
"content": "What is the number of odd factors of 30 that are greater than 1 ?",
"role": "assistant"
}
] |
What is the number of odd factors of 30 that are greater than 1 ?
|
how many factors of 30 are odd numbers greater than 1 ?
|
at a certain restaurant , the average ( arithmetic mean ) number of customers served for the past x days was 75 . if the restaurant serves 120 customers today , raising the average to 80 customers per day , what is the value of x ?
|
[
{
"content": "at a certain restaurant , the average ( arithmetic mean ) number of customers served for the past x days was 75 . if the restaurant serves 120 customers today , raising the average to 80 customers per day , what is the value of x ?",
"role": "user"
},
{
"content": "At a particular restaurant, the average number of customers served over x days was 75; after serving 120 customers today and increasing the average to 80 customers per day, what is the value of x?",
"role": "assistant"
}
] |
At a particular restaurant, the average number of customers served over x days was 75; after serving 120 customers today and increasing the average to 80 customers per day, what is the value of x?
|
at a certain restaurant , the average ( arithmetic mean ) number of customers served for the past x days was 75 . if the restaurant serves 120 customers today , raising the average to 80 customers per day , what is the value of x ?
|
dividing by 3 ⁄ 6 and then multiplying by 5 ⁄ 6 is the same as dividing by what number ?
|
[
{
"content": "dividing by 3 ⁄ 6 and then multiplying by 5 ⁄ 6 is the same as dividing by what number ?",
"role": "user"
},
{
"content": "What number is the same as dividing by 3 ⁄ 6 and then multiplying by 5 ⁄ 6 ?",
"role": "assistant"
}
] |
What number is the same as dividing by 3 ⁄ 6 and then multiplying by 5 ⁄ 6 ?
|
dividing by 3 ⁄ 6 and then multiplying by 5 ⁄ 6 is the same as dividing by what number ?
|
an inspector rejects 15 % of the meters as defective . how many will he examine to reject 15 ?
|
[
{
"content": "an inspector rejects 15 % of the meters as defective . how many will he examine to reject 15 ?",
"role": "user"
},
{
"content": "To reject 15 meters, how many will an inspector need to examine if the defect rate is 15%?",
"role": "assistant"
}
] |
To reject 15 meters, how many will an inspector need to examine if the defect rate is 15%?
|
an inspector rejects 15 % of the meters as defective . how many will he examine to reject 15 ?
|
pipe a fills a tank of capacity 700 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ?
|
[
{
"content": "pipe a fills a tank of capacity 700 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ?",
"role": "user"
},
{
"content": "At what point will the 700-liter tank be filled if Pipe A (40 liters/minute) is opened for 1 minute, then closed, followed by Pipe B (30 liters/minute) for 1 minute, then closed, and then the drain pipe (20 liters/minute) for 1 minute, with this cycle repeating?",
"role": "assistant"
}
] |
At what point will the 700-liter tank be filled if Pipe A (40 liters/minute) is opened for 1 minute, then closed, followed by Pipe B (30 liters/minute) for 1 minute, then closed, and then the drain pipe (20 liters/minute) for 1 minute, with this cycle repeating?
|
pipe a fills a tank of capacity 700 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ?
|
the area of a parallelogram is 72 sq m and its altitude is twice the corresponding base . then the length of the base is ?
|
[
{
"content": "the area of a parallelogram is 72 sq m and its altitude is twice the corresponding base . then the length of the base is ?",
"role": "user"
},
{
"content": "What is the base length of a parallelogram with an area of 72 sq m and an altitude twice the base?",
"role": "assistant"
}
] |
What is the base length of a parallelogram with an area of 72 sq m and an altitude twice the base?
|
the area of a parallelogram is 72 sq m and its altitude is twice the corresponding base . then the length of the base is ?
|
a man can row upstream at 10 kmph and downstream at 20 kmph , and then find the speed of the man in still water ?
|
[
{
"content": "a man can row upstream at 10 kmph and downstream at 20 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 10 kmph and downstream at 20 kmph?",
"role": "assistant"
}
] |
What is the speed of the man in still water if he can row upstream at 10 kmph and downstream at 20 kmph?
|
a man can row upstream at 10 kmph and downstream at 20 kmph , and then find the speed of the man in still water ?
|
a and b can finish a work together in 12 days , and b and c together in 16 days . if a alone works for 5 days and then b alone continues for 7 days , then remaining work is done by c in 13 days . in how many days can c alone finish the complete work ?
|
[
{
"content": "a and b can finish a work together in 12 days , and b and c together in 16 days . if a alone works for 5 days and then b alone continues for 7 days , then remaining work is done by c in 13 days . in how many days can c alone finish the complete work ?",
"role": "user"
},
{
"content": "How many days would it take c to complete the entire job on their own?",
"role": "assistant"
}
] |
How many days would it take c to complete the entire job on their own?
|
a and b can finish a work together in 12 days , and b and c together in 16 days . if a alone works for 5 days and then b alone continues for 7 days , then remaining work is done by c in 13 days . in how many days can c alone finish the complete work ?
|
the ages of two person , differ by 20 years . if 5 years ag , the elder one be 5 times as old as the younger one their present ages ( in years ) are respectively
|
[
{
"content": "the ages of two person , differ by 20 years . if 5 years ag , the elder one be 5 times as old as the younger one their present ages ( in years ) are respectively",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text, preserving the original structure and semantics:\n\nThe age gap between two individuals is 20 years. If five years ago, the older person was five times the age of the younger one, what are their current ages (in years)?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text, preserving the original structure and semantics:
The age gap between two individuals is 20 years. If five years ago, the older person was five times the age of the younger one, what are their current ages (in years)?
|
the ages of two person , differ by 20 years . if 5 years ag , the elder one be 5 times as old as the younger one their present ages ( in years ) are respectively
|
the price of stock increased by 8 % last year and decreased by 6 % this year . what is the net percentage change in the price of the stock ?
|
[
{
"content": "the price of stock increased by 8 % last year and decreased by 6 % this year . what is the net percentage change in the price of the stock ?",
"role": "user"
},
{
"content": "What is the overall percentage change in the stock's price after an 8% increase last year and a 6% decrease this year?",
"role": "assistant"
}
] |
What is the overall percentage change in the stock's price after an 8% increase last year and a 6% decrease this year?
|
the price of stock increased by 8 % last year and decreased by 6 % this year . what is the net percentage change in the price of the stock ?
|
the mass of 1 cubic meter of a substance is 400 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters )
|
[
{
"content": "the mass of 1 cubic meter of a substance is 400 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters )",
"role": "user"
},
{
"content": "What is the volume of 1 gram of this substance in cubic centimeters, given that 1 cubic meter of it weighs 400 kg under specific conditions?",
"role": "assistant"
}
] |
What is the volume of 1 gram of this substance in cubic centimeters, given that 1 cubic meter of it weighs 400 kg under specific conditions?
|
the mass of 1 cubic meter of a substance is 400 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters )
|
for what value of â € œ k â € will the equation ( 2 kx 2 + 5 kx + 1 ) = 0 have equal roots ?
|
[
{
"content": "for what value of â € œ k â € will the equation ( 2 kx 2 + 5 kx + 1 ) = 0 have equal roots ?",
"role": "user"
},
{
"content": "What value of k will make the equation (2kx^2 + 5kx + 1) = 0 have equal roots?",
"role": "assistant"
}
] |
What value of k will make the equation (2kx^2 + 5kx + 1) = 0 have equal roots?
|
for what value of â € œ k â € will the equation ( 2 kx 2 + 5 kx + 1 ) = 0 have equal roots ?
|
in a class of 25 students , 2 students did not borrow any books from the library , 10 students each borrowed 1 book , 8 students each borrowed 2 books , and the rest of the students each borrowed at least 3 books . if the average ( arithmetic mean ) number of books borrowed per student was 2 , what is the maximum number of books that any single student could have borrowed ?
|
[
{
"content": "in a class of 25 students , 2 students did not borrow any books from the library , 10 students each borrowed 1 book , 8 students each borrowed 2 books , and the rest of the students each borrowed at least 3 books . if the average ( arithmetic mean ) number of books borrowed per student was 2 , what is the maximum number of books that any single student could have borrowed ?",
"role": "user"
},
{
"content": "In a class of 25 students, where 2 borrowed no books, 10 borrowed 1 book, and 8 borrowed 2 books, with the rest borrowing at least 3, what is the maximum number of books a single student could have borrowed if the average number of books per student was 2?",
"role": "assistant"
}
] |
In a class of 25 students, where 2 borrowed no books, 10 borrowed 1 book, and 8 borrowed 2 books, with the rest borrowing at least 3, what is the maximum number of books a single student could have borrowed if the average number of books per student was 2?
|
in a class of 25 students , 2 students did not borrow any books from the library , 10 students each borrowed 1 book , 8 students each borrowed 2 books , and the rest of the students each borrowed at least 3 books . if the average ( arithmetic mean ) number of books borrowed per student was 2 , what is the maximum number of books that any single student could have borrowed ?
|
a metallic sphere of radius 12 cm is melted and drawn into a wire , whose radius of cross section is 24 cm . what is the length of the wire ?
|
[
{
"content": "a metallic sphere of radius 12 cm is melted and drawn into a wire , whose radius of cross section is 24 cm . what is the length of the wire ?",
"role": "user"
},
{
"content": "What is the length of the wire formed by melting a 12 cm radius metallic sphere and drawing it into a wire with a 24 cm cross-sectional radius?",
"role": "assistant"
}
] |
What is the length of the wire formed by melting a 12 cm radius metallic sphere and drawing it into a wire with a 24 cm cross-sectional radius?
|
a metallic sphere of radius 12 cm is melted and drawn into a wire , whose radius of cross section is 24 cm . what is the length of the wire ?
|
boys and girls in a class are writing letters . there are twice as many girls as boys in the class , and each girl writes 3 more letters than each boy . if boys write 24 of the 90 total letters written by the class , how many letters does each boy write ?
|
[
{
"content": "boys and girls in a class are writing letters . there are twice as many girls as boys in the class , and each girl writes 3 more letters than each boy . if boys write 24 of the 90 total letters written by the class , how many letters does each boy write ?",
"role": "user"
},
{
"content": "How many letters does each boy write if boys and girls in a class are writing letters, there are twice as many girls as boys in the class, and each girl writes 3 more letters than each boy, with boys writing 24 of the 90 total letters written by the class?",
"role": "assistant"
}
] |
How many letters does each boy write if boys and girls in a class are writing letters, there are twice as many girls as boys in the class, and each girl writes 3 more letters than each boy, with boys writing 24 of the 90 total letters written by the class?
|
boys and girls in a class are writing letters . there are twice as many girls as boys in the class , and each girl writes 3 more letters than each boy . if boys write 24 of the 90 total letters written by the class , how many letters does each boy write ?
|
a man walking at the rate of 5 km / hr crosses a bridge in 15 minutes . the length of the bridge ( in meters ) is :
|
[
{
"content": "a man walking at the rate of 5 km / hr crosses a bridge in 15 minutes . the length of the bridge ( in meters ) is :",
"role": "user"
},
{
"content": "At a speed of 5 km/hr, how many meters long is the bridge that a man crosses in 15 minutes?",
"role": "assistant"
}
] |
At a speed of 5 km/hr, how many meters long is the bridge that a man crosses in 15 minutes?
|
a man walking at the rate of 5 km / hr crosses a bridge in 15 minutes . the length of the bridge ( in meters ) is :
|
a honey bee flies for 10 seconds , from a daisy to a rose . it immediately continues to a poppy , flying for 6 additional seconds . the distance the bee passed , flying from the daisy to the rose is 14 meters longer than the distance it passed flying from the rose to the poppy . the bee flies to the poppy at 3 meters per second faster than her speed flying to the rose . the bee flies how many meters per second from the daisy to the rose ?
|
[
{
"content": "a honey bee flies for 10 seconds , from a daisy to a rose . it immediately continues to a poppy , flying for 6 additional seconds . the distance the bee passed , flying from the daisy to the rose is 14 meters longer than the distance it passed flying from the rose to the poppy . the bee flies to the poppy at 3 meters per second faster than her speed flying to the rose . the bee flies how many meters per second from the daisy to the rose ?",
"role": "user"
},
{
"content": "At what speed does the honey bee fly from the daisy to the rose?",
"role": "assistant"
}
] |
At what speed does the honey bee fly from the daisy to the rose?
|
a honey bee flies for 10 seconds , from a daisy to a rose . it immediately continues to a poppy , flying for 6 additional seconds . the distance the bee passed , flying from the daisy to the rose is 14 meters longer than the distance it passed flying from the rose to the poppy . the bee flies to the poppy at 3 meters per second faster than her speed flying to the rose . the bee flies how many meters per second from the daisy to the rose ?
|
mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8010 / - . find out the amount that he borrowed .
|
[
{
"content": "mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8010 / - . find out the amount that he borrowed .",
"role": "user"
},
{
"content": "What amount did Mr. Karan borrow at a 6% annual simple interest rate for 9 years if he repaid Rs. 8010 after 9 years?",
"role": "assistant"
}
] |
What amount did Mr. Karan borrow at a 6% annual simple interest rate for 9 years if he repaid Rs. 8010 after 9 years?
|
mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8010 / - . find out the amount that he borrowed .
|
in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 6500 , the number of valid votes that the other candidate got , was :
|
[
{
"content": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 6500 , the number of valid votes that the other candidate got , was :",
"role": "user"
},
{
"content": "In a two-candidate election, one candidate received 55% of the valid votes, while 20% of the votes were invalid. Given 6500 total votes, how many valid votes did the other candidate receive?",
"role": "assistant"
}
] |
In a two-candidate election, one candidate received 55% of the valid votes, while 20% of the votes were invalid. Given 6500 total votes, how many valid votes did the other candidate receive?
|
in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 6500 , the number of valid votes that the other candidate got , was :
|
if 9 ! / 3 ^ x is an integer , what is the greatest possible value of x ?
|
[
{
"content": "if 9 ! / 3 ^ x is an integer , what is the greatest possible value of x ?",
"role": "user"
},
{
"content": "What is the largest value of x for which 9 ! / 3 ^ x is an integer ?",
"role": "assistant"
}
] |
What is the largest value of x for which 9 ! / 3 ^ x is an integer ?
|
if 9 ! / 3 ^ x is an integer , what is the greatest possible value of x ?
|
if 21 ! / 3 ^ x is an integer , what is the greatest possible value of x ?
|
[
{
"content": "if 21 ! / 3 ^ x is an integer , what is the greatest possible value of x ?",
"role": "user"
},
{
"content": "What is the largest possible value of x such that 21 ! / 3 ^ x is an integer ?",
"role": "assistant"
}
] |
What is the largest possible value of x such that 21 ! / 3 ^ x is an integer ?
|
if 21 ! / 3 ^ x is an integer , what is the greatest possible value of x ?
|
the average of 13 result is 60 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th result ?
|
[
{
"content": "the average of 13 result is 60 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th result ?",
"role": "user"
},
{
"content": "What is the 8th result, given that the average of all 13 results is 60, the average of the first 7 is 57, and the average of the last 7 is 61?",
"role": "assistant"
}
] |
What is the 8th result, given that the average of all 13 results is 60, the average of the first 7 is 57, and the average of the last 7 is 61?
|
the average of 13 result is 60 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th result ?
|
23 , 29 , 31 , 37 , 41 , 43 , 47 , 53 , 59 , 61 , ( . . . )
|
[
{
"content": "23 , 29 , 31 , 37 , 41 , 43 , 47 , 53 , 59 , 61 , ( . . . )",
"role": "user"
},
{
"content": "List of prime numbers starting from 23: 29, 31, 37, 41, 43, 47, 53, 59, 61, ( . . . )",
"role": "assistant"
}
] |
List of prime numbers starting from 23: 29, 31, 37, 41, 43, 47, 53, 59, 61, ( . . . )
|
23 , 29 , 31 , 37 , 41 , 43 , 47 , 53 , 59 , 61 , ( . . . )
|
if x / ( 9 p ) is an even prime number , where x is a positive integer and p is a prime number , what is the least value of x ?
|
[
{
"content": "if x / ( 9 p ) is an even prime number , where x is a positive integer and p is a prime number , what is the least value of x ?",
"role": "user"
},
{
"content": "What is the smallest value of x for which x / ( 9 p ) is an even prime number , given that x is a positive integer and p is a prime number ?",
"role": "assistant"
}
] |
What is the smallest value of x for which x / ( 9 p ) is an even prime number , given that x is a positive integer and p is a prime number ?
|
if x / ( 9 p ) is an even prime number , where x is a positive integer and p is a prime number , what is the least value of x ?
|
after decreasing 25 % in the price of an article costs rs . 1500 . find the actual cost of an article ?
|
[
{
"content": "after decreasing 25 % in the price of an article costs rs . 1500 . find the actual cost of an article ?",
"role": "user"
},
{
"content": "What is the original price of the article that costs Rs. 1500 after a 25% discount?",
"role": "assistant"
}
] |
What is the original price of the article that costs Rs. 1500 after a 25% discount?
|
after decreasing 25 % in the price of an article costs rs . 1500 . find the actual cost of an article ?
|
if the sides of a triangle are 52 cm , 48 cm and 20 cm , what is its area ?
|
[
{
"content": "if the sides of a triangle are 52 cm , 48 cm and 20 cm , what is its area ?",
"role": "user"
},
{
"content": "What is the area of a triangle with side lengths of 52 cm, 48 cm, and 20 cm?",
"role": "assistant"
}
] |
What is the area of a triangle with side lengths of 52 cm, 48 cm, and 20 cm?
|
if the sides of a triangle are 52 cm , 48 cm and 20 cm , what is its area ?
|
5 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 3443 , how much was it in the beginning ?
|
[
{
"content": "5 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 3443 , how much was it in the beginning ?",
"role": "user"
},
{
"content": "In a Sri Lankan village, 5% of the population died from bombardment, and then 15% of those remaining fled due to fear, resulting in a current population of 3443; what was the initial population?",
"role": "assistant"
}
] |
In a Sri Lankan village, 5% of the population died from bombardment, and then 15% of those remaining fled due to fear, resulting in a current population of 3443; what was the initial population?
|
5 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 3443 , how much was it in the beginning ?
|
adam borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years , and at the rate of 14 % p . a . for the period beyond 4 years . if he pays a total interest of 11900 at the end of 9 years , how much money did he borrow ?
|
[
{
"content": "adam borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years , and at the rate of 14 % p . a . for the period beyond 4 years . if he pays a total interest of 11900 at the end of 9 years , how much money did he borrow ?",
"role": "user"
},
{
"content": "What amount did Adam borrow, given that he paid $11,900 in total interest over 9 years, with interest rates of 6% for the first 2 years, 9% for the next 3 years, and 14% thereafter?",
"role": "assistant"
}
] |
What amount did Adam borrow, given that he paid $11,900 in total interest over 9 years, with interest rates of 6% for the first 2 years, 9% for the next 3 years, and 14% thereafter?
|
adam borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years , and at the rate of 14 % p . a . for the period beyond 4 years . if he pays a total interest of 11900 at the end of 9 years , how much money did he borrow ?
|
8 men can do a piece of work in 12 days . 4 women can do it in 48 days and 10 children can do it in 24 days . in how many days can 6 men , 4 women and 10 children together complete the piece of work ?
|
[
{
"content": "8 men can do a piece of work in 12 days . 4 women can do it in 48 days and 10 children can do it in 24 days . in how many days can 6 men , 4 women and 10 children together complete the piece of work ?",
"role": "user"
},
{
"content": "How long will it take for 6 men, 4 women, and 10 children to finish the job if 8 men take 12 days, 4 women take 48 days, and 10 children take 24 days?",
"role": "assistant"
}
] |
How long will it take for 6 men, 4 women, and 10 children to finish the job if 8 men take 12 days, 4 women take 48 days, and 10 children take 24 days?
|
8 men can do a piece of work in 12 days . 4 women can do it in 48 days and 10 children can do it in 24 days . in how many days can 6 men , 4 women and 10 children together complete the piece of work ?
|
if henry were to add 6 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ?
|
[
{
"content": "if henry were to add 6 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ?",
"role": "user"
},
{
"content": "If Henry added 6 gallons of water to a tank that is 3 / 4 full, the tank would be 7 / 8 full; what is the tank's full capacity?",
"role": "assistant"
}
] |
If Henry added 6 gallons of water to a tank that is 3 / 4 full, the tank would be 7 / 8 full; what is the tank's full capacity?
|
if henry were to add 6 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ?
|
in what time will a railway train 120 m long moving at the rate of 70 kmph pass a telegraph post on its way ?
|
[
{
"content": "in what time will a railway train 120 m long moving at the rate of 70 kmph pass a telegraph post on its way ?",
"role": "user"
},
{
"content": "How long will it take for a 120-meter-long railway train traveling at 70 km/h to pass a telegraph post?",
"role": "assistant"
}
] |
How long will it take for a 120-meter-long railway train traveling at 70 km/h to pass a telegraph post?
|
in what time will a railway train 120 m long moving at the rate of 70 kmph pass a telegraph post on its way ?
|
there are 400 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ?
|
[
{
"content": "there are 400 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ?",
"role": "user"
},
{
"content": "To reduce the percentage of managers to 98%, how many managers need to exit the room, given that 99% of the 400 employees are managers?",
"role": "assistant"
}
] |
To reduce the percentage of managers to 98%, how many managers need to exit the room, given that 99% of the 400 employees are managers?
|
there are 400 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ?
|
each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 97 % water by weight . what is the new weight of the cucumbers , in pounds ?
|
[
{
"content": "each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 97 % water by weight . what is the new weight of the cucumbers , in pounds ?",
"role": "user"
},
{
"content": "If the cucumbers in 100 pounds of cucumbers are 99 % water by weight and then some water evaporates , making them 97 % water by weight , what will be the new weight of the cucumbers , in pounds ?",
"role": "assistant"
}
] |
If the cucumbers in 100 pounds of cucumbers are 99 % water by weight and then some water evaporates , making them 97 % water by weight , what will be the new weight of the cucumbers , in pounds ?
|
each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 97 % water by weight . what is the new weight of the cucumbers , in pounds ?
|
the two trains of lengths 400 m , 600 m respectively , running at same directions . the faster train can cross the slower train in 180 sec , the speed of the slower train is 48 km . then find the speed of the faster train ?
|
[
{
"content": "the two trains of lengths 400 m , 600 m respectively , running at same directions . the faster train can cross the slower train in 180 sec , the speed of the slower train is 48 km . then find the speed of the faster train ?",
"role": "user"
},
{
"content": "What is the speed of the faster train when it overtakes a slower train traveling at 48 km/h in 180 seconds, given that the trains are 400m and 600m long, respectively, and moving in the same direction?",
"role": "assistant"
}
] |
What is the speed of the faster train when it overtakes a slower train traveling at 48 km/h in 180 seconds, given that the trains are 400m and 600m long, respectively, and moving in the same direction?
|
the two trains of lengths 400 m , 600 m respectively , running at same directions . the faster train can cross the slower train in 180 sec , the speed of the slower train is 48 km . then find the speed of the faster train ?
|
a light flashes every 5 seconds , how many times will it flash in ? of an hour ?
|
[
{
"content": "a light flashes every 5 seconds , how many times will it flash in ? of an hour ?",
"role": "user"
},
{
"content": "How many times will a light flash in an hour if it flashes every 5 seconds ?",
"role": "assistant"
}
] |
How many times will a light flash in an hour if it flashes every 5 seconds ?
|
a light flashes every 5 seconds , how many times will it flash in ? of an hour ?
|
what is the units digit of 3333 ^ ( 333 ) * 3333 ^ ( 222 ) ?
|
[
{
"content": "what is the units digit of 3333 ^ ( 333 ) * 3333 ^ ( 222 ) ?",
"role": "user"
},
{
"content": "What is the units digit of 3333 raised to the power of 333, multiplied by 3333 raised to the power of 222?",
"role": "assistant"
}
] |
What is the units digit of 3333 raised to the power of 333, multiplied by 3333 raised to the power of 222?
|
what is the units digit of 3333 ^ ( 333 ) * 3333 ^ ( 222 ) ?
|
a 6 litre sol is 40 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ?
|
[
{
"content": "a 6 litre sol is 40 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ?",
"role": "user"
},
{
"content": "To achieve a 50% alcohol concentration, what amount of pure alcohol must be added to a 6-litre solution that is currently 40% alcohol?",
"role": "assistant"
}
] |
To achieve a 50% alcohol concentration, what amount of pure alcohol must be added to a 6-litre solution that is currently 40% alcohol?
|
a 6 litre sol is 40 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ?
|
in how many ways can the integer 54 be expressed as a product of two different positive integers ?
|
[
{
"content": "in how many ways can the integer 54 be expressed as a product of two different positive integers ?",
"role": "user"
},
{
"content": "In how many different ways can 54 be factored into two distinct positive integers?",
"role": "assistant"
}
] |
In how many different ways can 54 be factored into two distinct positive integers?
|
in how many ways can the integer 54 be expressed as a product of two different positive integers ?
|
find the number of different prime factors of 2400
|
[
{
"content": "find the number of different prime factors of 2400",
"role": "user"
},
{
"content": "What is the count of distinct prime factors of 2400?",
"role": "assistant"
}
] |
What is the count of distinct prime factors of 2400?
|
find the number of different prime factors of 2400
|
in arun ' s opinion , his weight is greater than 63 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 66 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ?
|
[
{
"content": "in arun ' s opinion , his weight is greater than 63 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 66 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ?",
"role": "user"
},
{
"content": "What is the average of Arun's possible weights if Arun thinks it's between 63 and 72 kg, his brother believes it's between 60 and 70 kg, and his mother thinks it's no more than 66 kg?",
"role": "assistant"
}
] |
What is the average of Arun's possible weights if Arun thinks it's between 63 and 72 kg, his brother believes it's between 60 and 70 kg, and his mother thinks it's no more than 66 kg?
|
in arun ' s opinion , his weight is greater than 63 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 66 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ?
|
a cat leaps 5 leaps for every 4 leaps of a dog , but 2 leaps of the dog are equal to 3 leaps of the cat . what is the ratio of the speed of the cat to that of the dog ?
|
[
{
"content": "a cat leaps 5 leaps for every 4 leaps of a dog , but 2 leaps of the dog are equal to 3 leaps of the cat . what is the ratio of the speed of the cat to that of the dog ?",
"role": "user"
},
{
"content": "What is the speed ratio of the cat to the dog if a cat takes 5 leaps for every 4 dog leaps and 2 dog leaps equal 3 cat leaps?",
"role": "assistant"
}
] |
What is the speed ratio of the cat to the dog if a cat takes 5 leaps for every 4 dog leaps and 2 dog leaps equal 3 cat leaps?
|
a cat leaps 5 leaps for every 4 leaps of a dog , but 2 leaps of the dog are equal to 3 leaps of the cat . what is the ratio of the speed of the cat to that of the dog ?
|
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 15 % 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 15 % profit ?",
"role": "user"
},
{
"content": "At what price would the article need to be sold in order to make a 15% profit?",
"role": "assistant"
}
] |
At what price would the article need to be sold in order to make a 15% profit?
|
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 15 % profit ?
|
a is an integer greater than 19 but less than 32 , b is an integer greater than 29 but less than 42 , what is the range of a / b ?
|
[
{
"content": "a is an integer greater than 19 but less than 32 , b is an integer greater than 29 but less than 42 , what is the range of a / b ?",
"role": "user"
},
{
"content": "What is the range of the ratio of a to b, where a is between 20 and 31 and b is between 30 and 41?",
"role": "assistant"
}
] |
What is the range of the ratio of a to b, where a is between 20 and 31 and b is between 30 and 41?
|
a is an integer greater than 19 but less than 32 , b is an integer greater than 29 but less than 42 , what is the range of a / b ?
|
rs . 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 125 . how much was lent at 5 % ?
|
[
{
"content": "rs . 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 125 . how much was lent at 5 % ?",
"role": "user"
},
{
"content": "How much of the Rs. 2500 was invested at 5% interest?",
"role": "assistant"
}
] |
How much of the Rs. 2500 was invested at 5% interest?
|
rs . 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 125 . how much was lent at 5 % ?
|
jerry travels 8 miles at an average speed of 40 miles per hour , stops for 13 minutes , and then travels another 20 miles at an average speed of 60 miles per hour . what is jerry ’ s average speed , in miles per hour , for this trip ?
|
[
{
"content": "jerry travels 8 miles at an average speed of 40 miles per hour , stops for 13 minutes , and then travels another 20 miles at an average speed of 60 miles per hour . what is jerry ’ s average speed , in miles per hour , for this trip ?",
"role": "user"
},
{
"content": "What is Jerry's average speed, in miles per hour, for the entire trip?",
"role": "assistant"
}
] |
What is Jerry's average speed, in miles per hour, for the entire trip?
|
jerry travels 8 miles at an average speed of 40 miles per hour , stops for 13 minutes , and then travels another 20 miles at an average speed of 60 miles per hour . what is jerry ’ s average speed , in miles per hour , for this trip ?
|
the sum of the first n positive perfect squares , where n is a positive integer , is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6 , where c is a constant . what is the sum of the first 18 positive perfect squares ?
|
[
{
"content": "the sum of the first n positive perfect squares , where n is a positive integer , is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6 , where c is a constant . what is the sum of the first 18 positive perfect squares ?",
"role": "user"
},
{
"content": "What is the sum of the first 18 positive perfect squares, given the formula for the sum of the first n positive perfect squares is n^3/3 + c*n^2 + n/6, where c is a constant and n is a positive integer?",
"role": "assistant"
}
] |
What is the sum of the first 18 positive perfect squares, given the formula for the sum of the first n positive perfect squares is n^3/3 + c*n^2 + n/6, where c is a constant and n is a positive integer?
|
the sum of the first n positive perfect squares , where n is a positive integer , is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6 , where c is a constant . what is the sum of the first 18 positive perfect squares ?
|
surface area of two spheres are in the ratio 1 : 4 what is the ratio of their volumes ?
|
[
{
"content": "surface area of two spheres are in the ratio 1 : 4 what is the ratio of their volumes ?",
"role": "user"
},
{
"content": "What is the ratio of the volumes of the two spheres if their surface areas are in a 1:4 ratio?",
"role": "assistant"
}
] |
What is the ratio of the volumes of the two spheres if their surface areas are in a 1:4 ratio?
|
surface area of two spheres are in the ratio 1 : 4 what is the ratio of their volumes ?
|
if the area of a circle decreases by 30 % , then the radius of a circle decreases by
|
[
{
"content": "if the area of a circle decreases by 30 % , then the radius of a circle decreases by",
"role": "user"
},
{
"content": "if the area of a circle is reduced by 30%, then the radius of the circle is reduced by",
"role": "assistant"
}
] |
if the area of a circle is reduced by 30%, then the radius of the circle is reduced by
|
if the area of a circle decreases by 30 % , then the radius of a circle decreases by
|
two unbiased coins are tossed . what is the probability of getting at most one head ?
|
[
{
"content": "two unbiased coins are tossed . what is the probability of getting at most one head ?",
"role": "user"
},
{
"content": "What is the chance of getting one or zero heads when flipping two unbiased coins?",
"role": "assistant"
}
] |
What is the chance of getting one or zero heads when flipping two unbiased coins?
|
two unbiased coins are tossed . what is the probability of getting at most one head ?
|
the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 25 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ?
|
[
{
"content": "the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 25 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ?",
"role": "user"
},
{
"content": "What is the total cost of 4 kg of mangos, 3 kg of rice, and 5 kg of flour, given that 10 kg of mangos costs the same as 24 kg of rice and 6 kg of flour costs the same as 2 kg of rice, with the price of flour being $25 per kg?",
"role": "assistant"
}
] |
What is the total cost of 4 kg of mangos, 3 kg of rice, and 5 kg of flour, given that 10 kg of mangos costs the same as 24 kg of rice and 6 kg of flour costs the same as 2 kg of rice, with the price of flour being $25 per kg?
|
the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 25 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ?
|
in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 40 percent of the male and 20 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ?
|
[
{
"content": "in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 40 percent of the male and 20 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ?",
"role": "user"
},
{
"content": "What is the approximate likelihood of a randomly chosen student being under 25 years old from a college graduating class where 48% are male and 52% are female, with 40% of males and 20% of females being 25 or older?",
"role": "assistant"
}
] |
What is the approximate likelihood of a randomly chosen student being under 25 years old from a college graduating class where 48% are male and 52% are female, with 40% of males and 20% of females being 25 or older?
|
in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 40 percent of the male and 20 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ?
|
a train 300 m long , running with a speed of 54 km / hr will pass a tree in ?
|
[
{
"content": "a train 300 m long , running with a speed of 54 km / hr will pass a tree in ?",
"role": "user"
},
{
"content": "How long will it take for a 300m long train traveling at 54 km/hr to pass a tree?",
"role": "assistant"
}
] |
How long will it take for a 300m long train traveling at 54 km/hr to pass a tree?
|
a train 300 m long , running with a speed of 54 km / hr will pass a tree in ?
|
a , b and c rents a pasture for rs . 899 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ?
|
[
{
"content": "a , b and c rents a pasture for rs . 899 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ?",
"role": "user"
},
{
"content": "What amount should c pay, given a's and b's contributions of 12 horses for 8 months and 16 horses for 9 months, and 18 horses for 6 months, for a total rent of Rs. 899?",
"role": "assistant"
}
] |
What amount should c pay, given a's and b's contributions of 12 horses for 8 months and 16 horses for 9 months, and 18 horses for 6 months, for a total rent of Rs. 899?
|
a , b and c rents a pasture for rs . 899 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ?
|
a student got twice as many sums wrong as he got right . if he attempted 27 sums in all , how many did he solve correctly ?
|
[
{
"content": "a student got twice as many sums wrong as he got right . if he attempted 27 sums in all , how many did he solve correctly ?",
"role": "user"
},
{
"content": "If a student got twice as many sums wrong as he got right, and he attempted 27 sums in total, how many did he solve correctly?",
"role": "assistant"
}
] |
If a student got twice as many sums wrong as he got right, and he attempted 27 sums in total, how many did he solve correctly?
|
a student got twice as many sums wrong as he got right . if he attempted 27 sums in all , how many did he solve correctly ?
|
the compound interest on a sum for 2 years is rs . 832 and the simple interest on the same sum for the same period is rs . 800 . the difference between the compound and simple interest for 3 years will be
|
[
{
"content": "the compound interest on a sum for 2 years is rs . 832 and the simple interest on the same sum for the same period is rs . 800 . the difference between the compound and simple interest for 3 years will be",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text, preserving the original structure and semantics:\n\nThe compound interest on a principal amount for 2 years is Rs. 832, and the simple interest on the same principal amount for the same period is Rs. 800. What will be the difference between the compound and simple interest for 3 years?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text, preserving the original structure and semantics:
The compound interest on a principal amount for 2 years is Rs. 832, and the simple interest on the same principal amount for the same period is Rs. 800. What will be the difference between the compound and simple interest for 3 years?
|
the compound interest on a sum for 2 years is rs . 832 and the simple interest on the same sum for the same period is rs . 800 . the difference between the compound and simple interest for 3 years will be
|
when a merchant imported a certain item , he paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1000 . if the amount of the import tax that the merchant paid was $ 94.50 , what was the total value of the item ?
|
[
{
"content": "when a merchant imported a certain item , he paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1000 . if the amount of the import tax that the merchant paid was $ 94.50 , what was the total value of the item ?",
"role": "user"
},
{
"content": "If a merchant paid a 7 percent import tax on the portion of an item's total value above $1000, what was the total value of the item if the tax paid was $94.50?",
"role": "assistant"
}
] |
If a merchant paid a 7 percent import tax on the portion of an item's total value above $1000, what was the total value of the item if the tax paid was $94.50?
|
when a merchant imported a certain item , he paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1000 . if the amount of the import tax that the merchant paid was $ 94.50 , what was the total value of the item ?
|
the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 8463 for a computer table , then what was the cost price of the computer table ?
|
[
{
"content": "the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 8463 for a computer table , then what was the cost price of the computer table ?",
"role": "user"
},
{
"content": "What was the cost price of the computer table if a customer paid Rs. 8463, which is 24% more than the price the furniture shop owner paid for it.",
"role": "assistant"
}
] |
What was the cost price of the computer table if a customer paid Rs. 8463, which is 24% more than the price the furniture shop owner paid for it.
|
the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 8463 for a computer table , then what was the cost price of the computer table ?
|
15 beavers , working together in a constant pace , can build a dam in 4 hours . how many hours will it take 20 beavers that work at the same pace , to build the same dam ?
|
[
{
"content": "15 beavers , working together in a constant pace , can build a dam in 4 hours . how many hours will it take 20 beavers that work at the same pace , to build the same dam ?",
"role": "user"
},
{
"content": "At the same pace, how many hours will 20 beavers require to build the same dam that 15 beavers can build in 4 hours?",
"role": "assistant"
}
] |
At the same pace, how many hours will 20 beavers require to build the same dam that 15 beavers can build in 4 hours?
|
15 beavers , working together in a constant pace , can build a dam in 4 hours . how many hours will it take 20 beavers that work at the same pace , to build the same dam ?
|
find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 14 cm
|
[
{
"content": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 14 cm",
"role": "user"
},
{
"content": "Calculate the area of a trapezium with parallel sides measuring 20 cm and 18 cm, and a height of 14 cm.",
"role": "assistant"
}
] |
Calculate the area of a trapezium with parallel sides measuring 20 cm and 18 cm, and a height of 14 cm.
|
find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 14 cm
|
the sum q of prime numbers that are greater than 60 but less than 70 is
|
[
{
"content": "the sum q of prime numbers that are greater than 60 but less than 70 is",
"role": "user"
},
{
"content": "the sum q of primes between 60 and 70, exclusive, is",
"role": "assistant"
}
] |
the sum q of primes between 60 and 70, exclusive, is
|
the sum q of prime numbers that are greater than 60 but less than 70 is
|
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 400 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 200 ?
|
[
{
"content": "at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 400 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 200 ?",
"role": "user"
},
{
"content": "How many hot dogs can be purchased at the wholesale store for $200 given the available pack sizes and prices.",
"role": "assistant"
}
] |
How many hot dogs can be purchased at the wholesale store for $200 given the available pack sizes and prices.
|
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 400 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 200 ?
|
if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 990 , what is the least possible value of n ?
|
[
{
"content": "if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 990 , what is the least possible value of n ?",
"role": "user"
},
{
"content": "What is the smallest positive integer n for which the product of all integers from 1 to n is divisible by 990?",
"role": "assistant"
}
] |
What is the smallest positive integer n for which the product of all integers from 1 to n is divisible by 990?
|
if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 990 , what is the least possible value of n ?
|
the probability that a man will be alive for 10 more yrs is 1 / 2 & the probability that his wife will alive for 10 more yrs is 1 / 3 . the probability that none of them will be alive for 10 more yrs , is
|
[
{
"content": "the probability that a man will be alive for 10 more yrs is 1 / 2 & the probability that his wife will alive for 10 more yrs is 1 / 3 . the probability that none of them will be alive for 10 more yrs , is",
"role": "user"
},
{
"content": "the chance of the man living for 10 more years is 50% & the chance of his wife living for 10 more years is 33%. what is the chance that neither will live for 10 more years",
"role": "assistant"
}
] |
the chance of the man living for 10 more years is 50% & the chance of his wife living for 10 more years is 33%. what is the chance that neither will live for 10 more years
|
the probability that a man will be alive for 10 more yrs is 1 / 2 & the probability that his wife will alive for 10 more yrs is 1 / 3 . the probability that none of them will be alive for 10 more yrs , is
|
if a * b = 2 a - 3 b + ab , then 3 * 5 + 5 * 3 is equal to
|
[
{
"content": "if a * b = 2 a - 3 b + ab , then 3 * 5 + 5 * 3 is equal to",
"role": "user"
},
{
"content": "If a * b = 2 a - 3 b + ab , then 3 * 5 + 5 * 3 equals",
"role": "assistant"
}
] |
If a * b = 2 a - 3 b + ab , then 3 * 5 + 5 * 3 equals
|
if a * b = 2 a - 3 b + ab , then 3 * 5 + 5 * 3 is equal to
|
a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.2 % on a company ’ s payroll above $ 200,000 . if belfried industries paid $ 200 in this special municipal payroll tax , then they must have had a payroll of ?
|
[
{
"content": "a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.2 % on a company ’ s payroll above $ 200,000 . if belfried industries paid $ 200 in this special municipal payroll tax , then they must have had a payroll of ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text:\n\nA special municipal payroll tax is exempt on payrolls under $200,000 and only 0.2% on payrolls above $200,000. If Belfried Industries paid $200 in this special municipal payroll tax, what was their total payroll?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text:
A special municipal payroll tax is exempt on payrolls under $200,000 and only 0.2% on payrolls above $200,000. If Belfried Industries paid $200 in this special municipal payroll tax, what was their total payroll?
|
a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.2 % on a company ’ s payroll above $ 200,000 . if belfried industries paid $ 200 in this special municipal payroll tax , then they must have had a payroll of ?
|
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