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two trains are moving in the same direction at 126 kmph and 54 kmph . the faster train crosses a man in the slower train in 14 seconds . find the length of the faster train ?
|
[
{
"content": "two trains are moving in the same direction at 126 kmph and 54 kmph . the faster train crosses a man in the slower train in 14 seconds . find the length of the faster train ?",
"role": "user"
},
{
"content": "What is the length of the faster train when it overtakes a man in the slower train in 14 seconds while both trains are traveling in the same direction at speeds of 126 km/h and 54 km/h?",
"role": "assistant"
}
] |
What is the length of the faster train when it overtakes a man in the slower train in 14 seconds while both trains are traveling in the same direction at speeds of 126 km/h and 54 km/h?
|
two trains are moving in the same direction at 126 kmph and 54 kmph . the faster train crosses a man in the slower train in 14 seconds . find the length of the faster train ?
|
if n is a prime number greater than 17 , what is the remainder when n ^ 2 is divided by 12 ?
|
[
{
"content": "if n is a prime number greater than 17 , what is the remainder when n ^ 2 is divided by 12 ?",
"role": "user"
},
{
"content": "For a prime number n greater than 17, what is the remainder of n squared divided by 12?",
"role": "assistant"
}
] |
For a prime number n greater than 17, what is the remainder of n squared divided by 12?
|
if n is a prime number greater than 17 , what is the remainder when n ^ 2 is divided by 12 ?
|
what is the remainder when 17 ^ 200 is divided by 18 ?
|
[
{
"content": "what is the remainder when 17 ^ 200 is divided by 18 ?",
"role": "user"
},
{
"content": "What is the remainder of 17 to the power of 200 when divided by 18 ?",
"role": "assistant"
}
] |
What is the remainder of 17 to the power of 200 when divided by 18 ?
|
what is the remainder when 17 ^ 200 is divided by 18 ?
|
a block of wood has dimensions 10 cm x 10 cm x 90 cm . the block is painted red and then cut evenly at the 45 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ?
|
[
{
"content": "a block of wood has dimensions 10 cm x 10 cm x 90 cm . the block is painted red and then cut evenly at the 45 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ?",
"role": "user"
},
{
"content": "What percentage of the surface area of each of the two resulting rectangular solids remains unpainted after cutting a 10 cm x 10 cm x 90 cm red-painted block at the 45 cm mark?",
"role": "assistant"
}
] |
What percentage of the surface area of each of the two resulting rectangular solids remains unpainted after cutting a 10 cm x 10 cm x 90 cm red-painted block at the 45 cm mark?
|
a block of wood has dimensions 10 cm x 10 cm x 90 cm . the block is painted red and then cut evenly at the 45 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ?
|
after 6 games , team b had an average of 75 points per game . if it got only 47 points in game 7 , how many more points does it need to score to get its total above 500 ?
|
[
{
"content": "after 6 games , team b had an average of 75 points per game . if it got only 47 points in game 7 , how many more points does it need to score to get its total above 500 ?",
"role": "user"
},
{
"content": "After six games, Team B averaged 75 points per game; if they scored 47 points in the seventh game, how many more points are needed to exceed a total of 500?",
"role": "assistant"
}
] |
After six games, Team B averaged 75 points per game; if they scored 47 points in the seventh game, how many more points are needed to exceed a total of 500?
|
after 6 games , team b had an average of 75 points per game . if it got only 47 points in game 7 , how many more points does it need to score to get its total above 500 ?
|
if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 6 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ?
|
[
{
"content": "if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 6 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ?",
"role": "user"
},
{
"content": "What is the smallest possible value of n such that n x ( 2 ^ 5 ) x ( 6 ) x ( 7 ^ 3 ) is divisible by both 5 ^ 2 and 3 ^ 3 ?",
"role": "assistant"
}
] |
What is the smallest possible value of n such that n x ( 2 ^ 5 ) x ( 6 ) x ( 7 ^ 3 ) is divisible by both 5 ^ 2 and 3 ^ 3 ?
|
if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 6 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ?
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a can finish a work in 36 days , b in 9 days and c in 2 days , b and c start the work but are forced to leave after 3 days . the remaining work was done by a in ?
|
[
{
"content": "a can finish a work in 36 days , b in 9 days and c in 2 days , b and c start the work but are forced to leave after 3 days . the remaining work was done by a in ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text, preserving the structure and semantics:\n\nIf A can complete a task in 36 days, B in 9 days, and C in 2 days, and B and C start but leave after 3 days, how long will it take A to finish the remaining work?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text, preserving the structure and semantics:
If A can complete a task in 36 days, B in 9 days, and C in 2 days, and B and C start but leave after 3 days, how long will it take A to finish the remaining work?
|
a can finish a work in 36 days , b in 9 days and c in 2 days , b and c start the work but are forced to leave after 3 days . the remaining work was done by a in ?
|
there are 20 poles with a constant distance between each pole . a car takes 26 second to reach the 12 th pole . how much will it take to reach the last pole .
|
[
{
"content": "there are 20 poles with a constant distance between each pole . a car takes 26 second to reach the 12 th pole . how much will it take to reach the last pole .",
"role": "user"
},
{
"content": "If a car takes 26 seconds to reach the 12th pole, with 20 poles evenly spaced, how many seconds will it take to reach the 20th pole.",
"role": "assistant"
}
] |
If a car takes 26 seconds to reach the 12th pole, with 20 poles evenly spaced, how many seconds will it take to reach the 20th pole.
|
there are 20 poles with a constant distance between each pole . a car takes 26 second to reach the 12 th pole . how much will it take to reach the last pole .
|
p has $ 21 more than what q and r together would have had if both b and c had 1 / 5 of what p has . how much does p have ?
|
[
{
"content": "p has $ 21 more than what q and r together would have had if both b and c had 1 / 5 of what p has . how much does p have ?",
"role": "user"
},
{
"content": "If p has $x, then b and c would have x/5 each, and q and r would have x - 2x/5 = 3x/5 together. Since p has $21 more than q and r together, we can set up the equation:\n\nx = 3x/5 + 21\n\nTo solve for x, we can multiply both sides by 5:\n\n5x = 3x + 105\n\nSubtracting 3x from both sides gives:\n\n2x = 105\n\nDividing both sides by 2 gives:\n\nx = 52.50\n\nSo p has $52.50.",
"role": "assistant"
}
] |
If p has $x, then b and c would have x/5 each, and q and r would have x - 2x/5 = 3x/5 together. Since p has $21 more than q and r together, we can set up the equation:
x = 3x/5 + 21
To solve for x, we can multiply both sides by 5:
5x = 3x + 105
Subtracting 3x from both sides gives:
2x = 105
Dividing both sides by 2 gives:
x = 52.50
So p has $52.50.
|
p has $ 21 more than what q and r together would have had if both b and c had 1 / 5 of what p has . how much does p have ?
|
a large box contains 18 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ?
|
[
{
"content": "a large box contains 18 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ?",
"role": "user"
},
{
"content": "What is the total number of chocolate bars in the large box that holds 18 small boxes, each containing 25 chocolate bars?",
"role": "assistant"
}
] |
What is the total number of chocolate bars in the large box that holds 18 small boxes, each containing 25 chocolate bars?
|
a large box contains 18 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ?
|
because he β s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 30 % on hers . if mindy earned 5 times as much as mork did , what was their combined tax rate ?
|
[
{
"content": "because he β s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 30 % on hers . if mindy earned 5 times as much as mork did , what was their combined tax rate ?",
"role": "user"
},
{
"content": "What would be the combined tax rate of Mork and Mindy if Mindy earned five times more than Mork, given that Mork pays 40% and Mindy pays 30% tax on their income?",
"role": "assistant"
}
] |
What would be the combined tax rate of Mork and Mindy if Mindy earned five times more than Mork, given that Mork pays 40% and Mindy pays 30% tax on their income?
|
because he β s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 30 % on hers . if mindy earned 5 times as much as mork did , what was their combined tax rate ?
|
if p ( a ) = 0.4 , p ( b ) = 0.6 and p ( a βͺ b ) = 0.8 . what is the value of p ( a β© b ' ) = ?
|
[
{
"content": "if p ( a ) = 0.4 , p ( b ) = 0.6 and p ( a βͺ b ) = 0.8 . what is the value of p ( a β© b ' ) = ?",
"role": "user"
},
{
"content": "Given p(a) = 0.4, p(b) = 0.6, and p(a βͺ b) = 0.8, what is p(a β© b')?",
"role": "assistant"
}
] |
Given p(a) = 0.4, p(b) = 0.6, and p(a βͺ b) = 0.8, what is p(a β© b')?
|
if p ( a ) = 0.4 , p ( b ) = 0.6 and p ( a βͺ b ) = 0.8 . what is the value of p ( a β© b ' ) = ?
|
a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 26000 , then the share of b is ?
|
[
{
"content": "a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 26000 , then the share of b is ?",
"role": "user"
},
{
"content": "What is B's share of the Rs. 26000 profit after joining A's business with a Rs. 120000 investment 6 months in?",
"role": "assistant"
}
] |
What is B's share of the Rs. 26000 profit after joining A's business with a Rs. 120000 investment 6 months in?
|
a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 26000 , then the share of b is ?
|
find the number which is nearest to 3105 and is exactly divisible by 21 .
|
[
{
"content": "find the number which is nearest to 3105 and is exactly divisible by 21 .",
"role": "user"
},
{
"content": "What is the number closest to 3105 that is a multiple of 21?",
"role": "assistant"
}
] |
What is the number closest to 3105 that is a multiple of 21?
|
find the number which is nearest to 3105 and is exactly divisible by 21 .
|
evaluate : 980 x 436 + 980 x 764
|
[
{
"content": "evaluate : 980 x 436 + 980 x 764",
"role": "user"
},
{
"content": "Calculate the result of 980 multiplied by 436 plus 980 multiplied by 764.",
"role": "assistant"
}
] |
Calculate the result of 980 multiplied by 436 plus 980 multiplied by 764.
|
evaluate : 980 x 436 + 980 x 764
|
how many terminating zeroes r does 200 ! have ?
|
[
{
"content": "how many terminating zeroes r does 200 ! have ?",
"role": "user"
},
{
"content": "How many trailing zeros are in the factorial of 200?",
"role": "assistant"
}
] |
How many trailing zeros are in the factorial of 200?
|
how many terminating zeroes r does 200 ! have ?
|
a girl walking at the rate of 9 km per hour crosses a square field diagonally in 12 seconds . the area of the field is :
|
[
{
"content": "a girl walking at the rate of 9 km per hour crosses a square field diagonally in 12 seconds . the area of the field is :",
"role": "user"
},
{
"content": "A girl walking at 9 km/h crosses a square field diagonally in 12 seconds; what is the area of the field?",
"role": "assistant"
}
] |
A girl walking at 9 km/h crosses a square field diagonally in 12 seconds; what is the area of the field?
|
a girl walking at the rate of 9 km per hour crosses a square field diagonally in 12 seconds . the area of the field is :
|
x , y , and z are all unique numbers . if x is chosen randomly from the set { 6 , 7 , 8 , 9 , 10 , 11 } and y and z are chosen randomly from the set { 20 , 21 , 22 , 23 } , what is the probability that x and y are prime and z is not ?
|
[
{
"content": "x , y , and z are all unique numbers . if x is chosen randomly from the set { 6 , 7 , 8 , 9 , 10 , 11 } and y and z are chosen randomly from the set { 20 , 21 , 22 , 23 } , what is the probability that x and y are prime and z is not ?",
"role": "user"
},
{
"content": "What is the probability that x is prime and y is prime and z is not, given x is chosen from { 6 , 7 , 8 , 9 , 10 , 11 } and y and z are chosen from { 20 , 21 , 22 , 23 } ?",
"role": "assistant"
}
] |
What is the probability that x is prime and y is prime and z is not, given x is chosen from { 6 , 7 , 8 , 9 , 10 , 11 } and y and z are chosen from { 20 , 21 , 22 , 23 } ?
|
x , y , and z are all unique numbers . if x is chosen randomly from the set { 6 , 7 , 8 , 9 , 10 , 11 } and y and z are chosen randomly from the set { 20 , 21 , 22 , 23 } , what is the probability that x and y are prime and z is not ?
|
what is the total number of integers between 20 and 100 that are divisible by 9 ?
|
[
{
"content": "what is the total number of integers between 20 and 100 that are divisible by 9 ?",
"role": "user"
},
{
"content": "How many integers between 20 and 100 are multiples of 9 ?",
"role": "assistant"
}
] |
How many integers between 20 and 100 are multiples of 9 ?
|
what is the total number of integers between 20 and 100 that are divisible by 9 ?
|
the perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle
|
[
{
"content": "the perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle",
"role": "user"
},
{
"content": "Given a triangle with a 40 cm perimeter and a 2.5 cm inradius, what is its area?",
"role": "assistant"
}
] |
Given a triangle with a 40 cm perimeter and a 2.5 cm inradius, what is its area?
|
the perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle
|
the price of an article is cut by 10 % . to restore it to the former value . the new price must be increased by ?
|
[
{
"content": "the price of an article is cut by 10 % . to restore it to the former value . the new price must be increased by ?",
"role": "user"
},
{
"content": "To restore the original price after a 10% cut, what percentage increase is needed for the new price?",
"role": "assistant"
}
] |
To restore the original price after a 10% cut, what percentage increase is needed for the new price?
|
the price of an article is cut by 10 % . to restore it to the former value . the new price must be increased by ?
|
the probability that event b occurs is 0.6 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.4 , what is the probability that event a will occur ?
|
[
{
"content": "the probability that event b occurs is 0.6 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.4 , what is the probability that event a will occur ?",
"role": "user"
},
{
"content": "What is the probability of event a occurring given that the probability of event b is 0.6, the probability of both a and b is 0.25, and the probability of either a or b is 0.4 ?",
"role": "assistant"
}
] |
What is the probability of event a occurring given that the probability of event b is 0.6, the probability of both a and b is 0.25, and the probability of either a or b is 0.4 ?
|
the probability that event b occurs is 0.6 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.4 , what is the probability that event a will occur ?
|
if x and y are both odd prime numbers and x < y , how many distinct positive integer e factors does 2 xy have ?
|
[
{
"content": "if x and y are both odd prime numbers and x < y , how many distinct positive integer e factors does 2 xy have ?",
"role": "user"
},
{
"content": "What is the number of distinct positive integer e factors of 2xy when x and y are odd prime numbers and x is less than y ?",
"role": "assistant"
}
] |
What is the number of distinct positive integer e factors of 2xy when x and y are odd prime numbers and x is less than y ?
|
if x and y are both odd prime numbers and x < y , how many distinct positive integer e factors does 2 xy have ?
|
in a certain group of 10 developers , 4 developers code only in python and the rest program in either ruby on rails or php - but not both . if a developer organization is to choose a 3 - member team , which must have at least 1 developer who codes in python , how many different programming teams can be chosen ?
|
[
{
"content": "in a certain group of 10 developers , 4 developers code only in python and the rest program in either ruby on rails or php - but not both . if a developer organization is to choose a 3 - member team , which must have at least 1 developer who codes in python , how many different programming teams can be chosen ?",
"role": "user"
},
{
"content": "In a group of 10 developers, where 4 use only Python and the others use either Ruby on Rails or PHP exclusively, how many distinct 3-member teams can be formed that include at least one Python developer?",
"role": "assistant"
}
] |
In a group of 10 developers, where 4 use only Python and the others use either Ruby on Rails or PHP exclusively, how many distinct 3-member teams can be formed that include at least one Python developer?
|
in a certain group of 10 developers , 4 developers code only in python and the rest program in either ruby on rails or php - but not both . if a developer organization is to choose a 3 - member team , which must have at least 1 developer who codes in python , how many different programming teams can be chosen ?
|
a dishonest shopkeeper professes to sell pulses at the cost price , but he uses a false weight of 920 gm . for a kg . his gain is β¦ % .
|
[
{
"content": "a dishonest shopkeeper professes to sell pulses at the cost price , but he uses a false weight of 920 gm . for a kg . his gain is β¦ % .",
"role": "user"
},
{
"content": "A shopkeeper deceitfully claims to sell pulses at cost, using a false weight of 920 gm for 1 kg; what is his gain percentage?",
"role": "assistant"
}
] |
A shopkeeper deceitfully claims to sell pulses at cost, using a false weight of 920 gm for 1 kg; what is his gain percentage?
|
a dishonest shopkeeper professes to sell pulses at the cost price , but he uses a false weight of 920 gm . for a kg . his gain is β¦ % .
|
5.40 can be expressed in terms of percentage as
|
[
{
"content": "5.40 can be expressed in terms of percentage as",
"role": "user"
},
{
"content": "5.40 can be written as a percentage as",
"role": "assistant"
}
] |
5.40 can be written as a percentage as
|
5.40 can be expressed in terms of percentage as
|
a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer β s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer β s suggested retail price o f $ 25.00 ?
|
[
{
"content": "a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer β s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer β s suggested retail price o f $ 25.00 ?",
"role": "user"
},
{
"content": "What would be the minimum price of a $25 pet food container if a pet store, which normally offers a 10-30% discount, provides an additional 20% discount during a sale?",
"role": "assistant"
}
] |
What would be the minimum price of a $25 pet food container if a pet store, which normally offers a 10-30% discount, provides an additional 20% discount during a sale?
|
a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer β s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer β s suggested retail price o f $ 25.00 ?
|
a number is mistakenly divided by 5 instead of being multiplied by 5 . find the percentage change in the result due t this mistake .
|
[
{
"content": "a number is mistakenly divided by 5 instead of being multiplied by 5 . find the percentage change in the result due t this mistake .",
"role": "user"
},
{
"content": "What is the percentage difference in the outcome when a number is accidentally divided by 5 rather than being multiplied by 5?",
"role": "assistant"
}
] |
What is the percentage difference in the outcome when a number is accidentally divided by 5 rather than being multiplied by 5?
|
a number is mistakenly divided by 5 instead of being multiplied by 5 . find the percentage change in the result due t this mistake .
|
the first , second and third terms of the proportion are 56 , 16 , 49 . find the fourth term .
|
[
{
"content": "the first , second and third terms of the proportion are 56 , 16 , 49 . find the fourth term .",
"role": "user"
},
{
"content": "What is the fourth term in the proportion 56, 16, 49, ?",
"role": "assistant"
}
] |
What is the fourth term in the proportion 56, 16, 49, ?
|
the first , second and third terms of the proportion are 56 , 16 , 49 . find the fourth term .
|
during a sale , the price of a pair of shoes is marked down 10 % from the regular price . after the sale ends , the price goes back to the original price . what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes ?
|
[
{
"content": "during a sale , the price of a pair of shoes is marked down 10 % from the regular price . after the sale ends , the price goes back to the original price . what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes ?",
"role": "user"
},
{
"content": "To the nearest percent, what is the percent increase from the sale price of the shoes back to their regular price after a 10% discount?",
"role": "assistant"
}
] |
To the nearest percent, what is the percent increase from the sale price of the shoes back to their regular price after a 10% discount?
|
during a sale , the price of a pair of shoes is marked down 10 % from the regular price . after the sale ends , the price goes back to the original price . what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes ?
|
sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 324 per week . how much does she earn in dollars per hour ?
|
[
{
"content": "sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 324 per week . how much does she earn in dollars per hour ?",
"role": "user"
},
{
"content": "What is Sheila's hourly wage in dollars",
"role": "assistant"
}
] |
What is Sheila's hourly wage in dollars
|
sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 324 per week . how much does she earn in dollars per hour ?
|
determine the value of 3 * 27 / 31 + 81 / 93
|
[
{
"content": "determine the value of 3 * 27 / 31 + 81 / 93",
"role": "user"
},
{
"content": "Calculate the result of 3 times 27 divided by 31 plus 81 divided by 93.",
"role": "assistant"
}
] |
Calculate the result of 3 times 27 divided by 31 plus 81 divided by 93.
|
determine the value of 3 * 27 / 31 + 81 / 93
|
in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds e in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ?
|
[
{
"content": "in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds e in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ?",
"role": "user"
},
{
"content": "In the Eurasian nature reserve, 30% of the birds are hawks and 40% of the non-hawks are paddyfield-warblers. If the number of kingfishers is 25% of the number of paddyfield-warblers, what percentage of birds in the reserve are neither hawks, paddyfield-warblers, nor kingfishers?",
"role": "assistant"
}
] |
In the Eurasian nature reserve, 30% of the birds are hawks and 40% of the non-hawks are paddyfield-warblers. If the number of kingfishers is 25% of the number of paddyfield-warblers, what percentage of birds in the reserve are neither hawks, paddyfield-warblers, nor kingfishers?
|
in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds e in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ?
|
what is the smallest integer t greater than 1 that leaves a remainder of 1 when divided by any of the integers 6 , 8 , and 10 ?
|
[
{
"content": "what is the smallest integer t greater than 1 that leaves a remainder of 1 when divided by any of the integers 6 , 8 , and 10 ?",
"role": "user"
},
{
"content": "What is the least integer greater than 1 that is one more than a multiple of 6, 8, and 10?",
"role": "assistant"
}
] |
What is the least integer greater than 1 that is one more than a multiple of 6, 8, and 10?
|
what is the smallest integer t greater than 1 that leaves a remainder of 1 when divided by any of the integers 6 , 8 , and 10 ?
|
a train 150 m long running at 72 kmph crosses a platform in 20 sec . what is the length of the platform ?
|
[
{
"content": "a train 150 m long running at 72 kmph crosses a platform in 20 sec . what is the length of the platform ?",
"role": "user"
},
{
"content": "A 150m train traveling at 72 km/h takes 20 seconds to pass a platform; what is the platform's length?",
"role": "assistant"
}
] |
A 150m train traveling at 72 km/h takes 20 seconds to pass a platform; what is the platform's length?
|
a train 150 m long running at 72 kmph crosses a platform in 20 sec . what is the length of the platform ?
|
in bangalore there is a well known science institute . during a visit i asked two of the men to tell me their ages . one replied , ' one of our ages subtracted from the other ' s equal 30 . ' then the other man spoke . ' our ages multiplied together equal 1624 . ' what were their ages ?
|
[
{
"content": "in bangalore there is a well known science institute . during a visit i asked two of the men to tell me their ages . one replied , ' one of our ages subtracted from the other ' s equal 30 . ' then the other man spoke . ' our ages multiplied together equal 1624 . ' what were their ages ?",
"role": "user"
},
{
"content": "In Bangalore, I visited a famous science institute and asked two men for their ages. One replied, 'If you subtract one of our ages from the other, you'll get 30.' The other man added, 'If you multiply our ages together, you'll get 1624.' What were their ages?",
"role": "assistant"
}
] |
In Bangalore, I visited a famous science institute and asked two men for their ages. One replied, 'If you subtract one of our ages from the other, you'll get 30.' The other man added, 'If you multiply our ages together, you'll get 1624.' What were their ages?
|
in bangalore there is a well known science institute . during a visit i asked two of the men to tell me their ages . one replied , ' one of our ages subtracted from the other ' s equal 30 . ' then the other man spoke . ' our ages multiplied together equal 1624 . ' what were their ages ?
|
the smallest number when increased by ` ` 1 ` ` is exactly divisible by 2 , 8 , 24 , 36 is :
|
[
{
"content": "the smallest number when increased by ` ` 1 ` ` is exactly divisible by 2 , 8 , 24 , 36 is :",
"role": "user"
},
{
"content": "What is the smallest number that, when incremented by 1, is exactly divisible by 2, 8, 24, and 36?",
"role": "assistant"
}
] |
What is the smallest number that, when incremented by 1, is exactly divisible by 2, 8, 24, and 36?
|
the smallest number when increased by ` ` 1 ` ` is exactly divisible by 2 , 8 , 24 , 36 is :
|
a person bought 135 glass bowls at a rate of rs . 15 per bowl . he sold 115 of them at rs . 18 and the remaining broke . what is the percentage gain for a ?
|
[
{
"content": "a person bought 135 glass bowls at a rate of rs . 15 per bowl . he sold 115 of them at rs . 18 and the remaining broke . what is the percentage gain for a ?",
"role": "user"
},
{
"content": "What is the percentage gain for A, who bought 135 glass bowls at 15 rupees each, sold 115 at 18 rupees, and the rest were broken?",
"role": "assistant"
}
] |
What is the percentage gain for A, who bought 135 glass bowls at 15 rupees each, sold 115 at 18 rupees, and the rest were broken?
|
a person bought 135 glass bowls at a rate of rs . 15 per bowl . he sold 115 of them at rs . 18 and the remaining broke . what is the percentage gain for a ?
|
the price of an item is discounted 3 percent on day 1 of a sale . on day 2 , the item is discounted another 3 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?
|
[
{
"content": "the price of an item is discounted 3 percent on day 1 of a sale . on day 2 , the item is discounted another 3 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?",
"role": "user"
},
{
"content": "What is the price of the item on day 3 as a percentage of the day 1 sale price ?",
"role": "assistant"
}
] |
What is the price of the item on day 3 as a percentage of the day 1 sale price ?
|
the price of an item is discounted 3 percent on day 1 of a sale . on day 2 , the item is discounted another 3 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?
|
the maximum number of students among them 1200 pens and 820 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ?
|
[
{
"content": "the maximum number of students among them 1200 pens and 820 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ?",
"role": "user"
},
{
"content": "What is the maximum number of students that can be given an equal number of pens and pencils from 1200 pens and 820 pencils?",
"role": "assistant"
}
] |
What is the maximum number of students that can be given an equal number of pens and pencils from 1200 pens and 820 pencils?
|
the maximum number of students among them 1200 pens and 820 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ?
|
in a certain pond , 80 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 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 , 80 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 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 particular pond, 80 fish were captured, marked, and released. A few days later, 50 fish were captured again, of which 2 were found to have been marked. What is the approximate number of fish in the pond if the percentage of marked fish in the second catch is similar to the percentage of marked fish in the pond?",
"role": "assistant"
}
] |
In a particular pond, 80 fish were captured, marked, and released. A few days later, 50 fish were captured again, of which 2 were found to have been marked. What is the approximate number of fish in the pond if the percentage of marked fish in the second catch is similar to the percentage of marked fish in the pond?
|
in a certain pond , 80 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 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 ?
|
r is the set of positive odd integers less than 100 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?
|
[
{
"content": "r is the set of positive odd integers less than 100 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?",
"role": "user"
},
{
"content": "What is the number of elements in the intersection of r and s, where r contains the positive odd integers less than 100, and s contains the squares of the integers in r?",
"role": "assistant"
}
] |
What is the number of elements in the intersection of r and s, where r contains the positive odd integers less than 100, and s contains the squares of the integers in r?
|
r is the set of positive odd integers less than 100 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?
|
a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what w percent of the list price is the lowest possible sale price ?
|
[
{
"content": "a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what w percent of the list price is the lowest possible sale price ?",
"role": "user"
},
{
"content": "What percent of the list price is the lowest possible sale price for an $80 replica jersey during the annual summer sale at a soccer store that usually offers a 30-50% discount?",
"role": "assistant"
}
] |
What percent of the list price is the lowest possible sale price for an $80 replica jersey during the annual summer sale at a soccer store that usually offers a 30-50% discount?
|
a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what w percent of the list price is the lowest possible sale price ?
|
a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 28 m * 2 m * 0.75 m ?
|
[
{
"content": "a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 28 m * 2 m * 0.75 m ?",
"role": "user"
},
{
"content": "For a wall measuring 28m * 2m * 0.75m, what is the number of 20cm * 10cm * 7.5cm bricks needed ?",
"role": "assistant"
}
] |
For a wall measuring 28m * 2m * 0.75m, what is the number of 20cm * 10cm * 7.5cm bricks needed ?
|
a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 28 m * 2 m * 0.75 m ?
|
an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 20286 / - in 3 years at the same rate of interest . find the rate percentage ?
|
[
{
"content": "an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 20286 / - in 3 years at the same rate of interest . find the rate percentage ?",
"role": "user"
},
{
"content": "What is the rate of interest at which an amount compounds to Rs. 17640 in 2 years and Rs. 20286 in 3 years?",
"role": "assistant"
}
] |
What is the rate of interest at which an amount compounds to Rs. 17640 in 2 years and Rs. 20286 in 3 years?
|
an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 20286 / - in 3 years at the same rate of interest . find the rate percentage ?
|
david works at a science lab that conducts experiments on bacteria . the population of the bacteria multiplies at a constant rate , and his job is to notate the population of a certain group of bacteria each hour . at 1 p . m . on a certain day , he noted that the population was 600 and then he left the lab . he returned in time to take a reading at 4 p . m . , by which point the population had grown to 4,800 . now he has to fill in the missing data for 2 p . m . and 3 p . m . what was the population at 3 p . m . ?
|
[
{
"content": "david works at a science lab that conducts experiments on bacteria . the population of the bacteria multiplies at a constant rate , and his job is to notate the population of a certain group of bacteria each hour . at 1 p . m . on a certain day , he noted that the population was 600 and then he left the lab . he returned in time to take a reading at 4 p . m . , by which point the population had grown to 4,800 . now he has to fill in the missing data for 2 p . m . and 3 p . m . what was the population at 3 p . m . ?",
"role": "user"
},
{
"content": "What was the 3 p.m. population of bacteria.",
"role": "assistant"
}
] |
What was the 3 p.m. population of bacteria.
|
david works at a science lab that conducts experiments on bacteria . the population of the bacteria multiplies at a constant rate , and his job is to notate the population of a certain group of bacteria each hour . at 1 p . m . on a certain day , he noted that the population was 600 and then he left the lab . he returned in time to take a reading at 4 p . m . , by which point the population had grown to 4,800 . now he has to fill in the missing data for 2 p . m . and 3 p . m . what was the population at 3 p . m . ?
|
5 years ago , the average age of a , b , c and d was 45 years . with e joining them now , the average of all the 5 is 50 years . the age of e is ?
|
[
{
"content": "5 years ago , the average age of a , b , c and d was 45 years . with e joining them now , the average of all the 5 is 50 years . the age of e is ?",
"role": "user"
},
{
"content": "What is e's age, given that the average age of a, b, c, and d was 45 five years ago and the average of all five is now 50?",
"role": "assistant"
}
] |
What is e's age, given that the average age of a, b, c, and d was 45 five years ago and the average of all five is now 50?
|
5 years ago , the average age of a , b , c and d was 45 years . with e joining them now , the average of all the 5 is 50 years . the age of e is ?
|
sandy bought 65 books for $ 1180 from one shop and 55 books for $ 860 from another shop . what is the average price that sandy paid per book ?
|
[
{
"content": "sandy bought 65 books for $ 1180 from one shop and 55 books for $ 860 from another shop . what is the average price that sandy paid per book ?",
"role": "user"
},
{
"content": "What was the average price per book that Sandy paid after purchasing 65 books for $1180 from one shop and 55 books for $860 from another shop?",
"role": "assistant"
}
] |
What was the average price per book that Sandy paid after purchasing 65 books for $1180 from one shop and 55 books for $860 from another shop?
|
sandy bought 65 books for $ 1180 from one shop and 55 books for $ 860 from another shop . what is the average price that sandy paid per book ?
|
there are 15 slate rocks , 20 pumice rocks , and 10 granite rocks randomly distributed in a certain field . if 2 rocks are to be chosen at random and without replacement , what is the probability that both rocks will be slate rocks ?
|
[
{
"content": "there are 15 slate rocks , 20 pumice rocks , and 10 granite rocks randomly distributed in a certain field . if 2 rocks are to be chosen at random and without replacement , what is the probability that both rocks will be slate rocks ?",
"role": "user"
},
{
"content": "In a field with 15 slate rocks, 20 pumice rocks, and 10 granite rocks, what's the probability of picking 2 slate rocks at random without replacement?",
"role": "assistant"
}
] |
In a field with 15 slate rocks, 20 pumice rocks, and 10 granite rocks, what's the probability of picking 2 slate rocks at random without replacement?
|
there are 15 slate rocks , 20 pumice rocks , and 10 granite rocks randomly distributed in a certain field . if 2 rocks are to be chosen at random and without replacement , what is the probability that both rocks will be slate rocks ?
|
a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 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 4 hours while it can be emptied by another tap in 9 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 4 hours and another tap can empty it in 9 hours when both are open at the same time?",
"role": "assistant"
}
] |
How long will it take to fill the cistern if one tap can fill it in 4 hours and another tap can empty it in 9 hours when both are open at the same time?
|
a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously then after how much time will the cistern get filled ?
|
approximately how many cubic feet of water are needed to fill a circular swimming pool that is 40 feet across and 7 feet deep ?
|
[
{
"content": "approximately how many cubic feet of water are needed to fill a circular swimming pool that is 40 feet across and 7 feet deep ?",
"role": "user"
},
{
"content": "What volume of water, in cubic feet, is required to fill a 40-foot diameter, 7-foot deep circular swimming pool?",
"role": "assistant"
}
] |
What volume of water, in cubic feet, is required to fill a 40-foot diameter, 7-foot deep circular swimming pool?
|
approximately how many cubic feet of water are needed to fill a circular swimming pool that is 40 feet across and 7 feet deep ?
|
in a graduate physics course , 70 percent of the students are male and 40 percent of the students are married . if two - sevenths of the male students are married , what fraction of the female students is single ?
|
[
{
"content": "in a graduate physics course , 70 percent of the students are male and 40 percent of the students are married . if two - sevenths of the male students are married , what fraction of the female students is single ?",
"role": "user"
},
{
"content": "In a graduate physics course, 70% of the students are men and 40% are married. If 2/7 of the male students are married, what fraction of the female students are unmarried?",
"role": "assistant"
}
] |
In a graduate physics course, 70% of the students are men and 40% are married. If 2/7 of the male students are married, what fraction of the female students are unmarried?
|
in a graduate physics course , 70 percent of the students are male and 40 percent of the students are married . if two - sevenths of the male students are married , what fraction of the female students is single ?
|
( 3 x + 2 ) ( 2 x - 1 ) = ax ^ 2 + kx + n . what is the value of a - n + k ?
|
[
{
"content": "( 3 x + 2 ) ( 2 x - 1 ) = ax ^ 2 + kx + n . what is the value of a - n + k ?",
"role": "user"
},
{
"content": "What is the value of a - n + k in the equation ( 3 x + 2 ) ( 2 x - 1 ) = ax ^ 2 + kx + n ?",
"role": "assistant"
}
] |
What is the value of a - n + k in the equation ( 3 x + 2 ) ( 2 x - 1 ) = ax ^ 2 + kx + n ?
|
( 3 x + 2 ) ( 2 x - 1 ) = ax ^ 2 + kx + n . what is the value of a - n + k ?
|
a fruit seller had some oranges . he sells 40 % oranges and still has 600 oranges . how many oranges he had originally ?
|
[
{
"content": "a fruit seller had some oranges . he sells 40 % oranges and still has 600 oranges . how many oranges he had originally ?",
"role": "user"
},
{
"content": "What was the fruit seller's initial number of oranges?",
"role": "assistant"
}
] |
What was the fruit seller's initial number of oranges?
|
a fruit seller had some oranges . he sells 40 % oranges and still has 600 oranges . how many oranges he had originally ?
|
if the sides of a triangle are 196 cm , 81 cm and 277 cm , what is its area ?
|
[
{
"content": "if the sides of a triangle are 196 cm , 81 cm and 277 cm , what is its area ?",
"role": "user"
},
{
"content": "What is the area of a triangle with sides of 196 cm, 81 cm, and 277 cm?",
"role": "assistant"
}
] |
What is the area of a triangle with sides of 196 cm, 81 cm, and 277 cm?
|
if the sides of a triangle are 196 cm , 81 cm and 277 cm , what is its area ?
|
what is the average ( arithmetic mean ) of 10 , 2030 , 4050 , 6070 , 8090 ?
|
[
{
"content": "what is the average ( arithmetic mean ) of 10 , 2030 , 4050 , 6070 , 8090 ?",
"role": "user"
},
{
"content": "What is the arithmetic mean of 10, 2030, 4050, 6070, 8090?",
"role": "assistant"
}
] |
What is the arithmetic mean of 10, 2030, 4050, 6070, 8090?
|
what is the average ( arithmetic mean ) of 10 , 2030 , 4050 , 6070 , 8090 ?
|
a man swims downstream 100 km and upstream 30 km taking 10 hours each time ; what is the speed of the current ?
|
[
{
"content": "a man swims downstream 100 km and upstream 30 km taking 10 hours each time ; what is the speed of the current ?",
"role": "user"
},
{
"content": "A man travels 100 km downstream and 30 km upstream, each taking 10 hours; what is the speed of the current?",
"role": "assistant"
}
] |
A man travels 100 km downstream and 30 km upstream, each taking 10 hours; what is the speed of the current?
|
a man swims downstream 100 km and upstream 30 km taking 10 hours each time ; what is the speed of the current ?
|
the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 1323 sq m , then what is the breadth of the rectangular plot ?
|
[
{
"content": "the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 1323 sq m , then what is the breadth of the rectangular plot ?",
"role": "user"
},
{
"content": "If a rectangular plot's length is three times its width and its area is 1323 sq m, what is the width of the plot?",
"role": "assistant"
}
] |
If a rectangular plot's length is three times its width and its area is 1323 sq m, what is the width of the plot?
|
the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 1323 sq m , then what is the breadth of the rectangular plot ?
|
after an ice began to melt out from the freezer , in the first hour lost 3 / 4 , in the second hour lost 3 / 4 of its remaining . if after two hours , the volume is 0.3 cubic inches , what is the original volume of the cubic ice , in cubic inches ?
|
[
{
"content": "after an ice began to melt out from the freezer , in the first hour lost 3 / 4 , in the second hour lost 3 / 4 of its remaining . if after two hours , the volume is 0.3 cubic inches , what is the original volume of the cubic ice , in cubic inches ?",
"role": "user"
},
{
"content": "What was the original volume, in cubic inches, of the ice cube that melted to 0.3 cubic inches after losing 3/4 of its volume in the first hour and then 3/4 of its remaining volume in the second hour?",
"role": "assistant"
}
] |
What was the original volume, in cubic inches, of the ice cube that melted to 0.3 cubic inches after losing 3/4 of its volume in the first hour and then 3/4 of its remaining volume in the second hour?
|
after an ice began to melt out from the freezer , in the first hour lost 3 / 4 , in the second hour lost 3 / 4 of its remaining . if after two hours , the volume is 0.3 cubic inches , what is the original volume of the cubic ice , in cubic inches ?
|
the perimeter of a triangle is 22 cm and the inradius of the triangle is 3.5 cm . what is the area of the triangle ?
|
[
{
"content": "the perimeter of a triangle is 22 cm and the inradius of the triangle is 3.5 cm . what is the area of the triangle ?",
"role": "user"
},
{
"content": "With a triangle perimeter of 22 cm and an inradius of 3.5 cm, what is the area of the triangle?",
"role": "assistant"
}
] |
With a triangle perimeter of 22 cm and an inradius of 3.5 cm, what is the area of the triangle?
|
the perimeter of a triangle is 22 cm and the inradius of the triangle is 3.5 cm . what is the area of the triangle ?
|
for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 6 of whom are females , by how much does the index for the females exceed the index for the males in the group ?
|
[
{
"content": "for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 6 of whom are females , by how much does the index for the females exceed the index for the males in the group ?",
"role": "user"
},
{
"content": "In a group of n individuals, with k sharing the same gender, the expression (n - k) / n serves as an index for a specific group dynamic phenomenon affecting members of that gender. In a group of 20 people, where 6 are women, what is the difference between the female index and the male index?",
"role": "assistant"
}
] |
In a group of n individuals, with k sharing the same gender, the expression (n - k) / n serves as an index for a specific group dynamic phenomenon affecting members of that gender. In a group of 20 people, where 6 are women, what is the difference between the female index and the male index?
|
for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 6 of whom are females , by how much does the index for the females exceed the index for the males in the group ?
|
x does a work in 40 days . y does the same work in 60 days . in how many days they together will do the same work ?
|
[
{
"content": "x does a work in 40 days . y does the same work in 60 days . in how many days they together will do the same work ?",
"role": "user"
},
{
"content": "How long will it take for x and y to complete the same work together?",
"role": "assistant"
}
] |
How long will it take for x and y to complete the same work together?
|
x does a work in 40 days . y does the same work in 60 days . in how many days they together will do the same work ?
|
the difference of 2 digit number & the number obtained by interchanging the digits is 36 . what is the sum and the number if the ratio between the digits of the number is 1 : 2 ?
|
[
{
"content": "the difference of 2 digit number & the number obtained by interchanging the digits is 36 . what is the sum and the number if the ratio between the digits of the number is 1 : 2 ?",
"role": "user"
},
{
"content": "What is the sum and the number, given that the difference between a 2-digit number and its reverse is 36, and the digits are in a 1:2 ratio?",
"role": "assistant"
}
] |
What is the sum and the number, given that the difference between a 2-digit number and its reverse is 36, and the digits are in a 1:2 ratio?
|
the difference of 2 digit number & the number obtained by interchanging the digits is 36 . what is the sum and the number if the ratio between the digits of the number is 1 : 2 ?
|
7 carpet - weavers can weave 7 carpets in 7 days . at the same rate , how many carpets would be woven by 14 carpet - weavers in 14 days ?
|
[
{
"content": "7 carpet - weavers can weave 7 carpets in 7 days . at the same rate , how many carpets would be woven by 14 carpet - weavers in 14 days ?",
"role": "user"
},
{
"content": "If 7 carpet-weavers can produce 7 carpets in 7 days, how many carpets can 14 weavers make in 14 days at the same rate?",
"role": "assistant"
}
] |
If 7 carpet-weavers can produce 7 carpets in 7 days, how many carpets can 14 weavers make in 14 days at the same rate?
|
7 carpet - weavers can weave 7 carpets in 7 days . at the same rate , how many carpets would be woven by 14 carpet - weavers in 14 days ?
|
what is the speed of the stream if a canoe rows upstream at 6 km / hr and downstream at 12 km / hr
|
[
{
"content": "what is the speed of the stream if a canoe rows upstream at 6 km / hr and downstream at 12 km / hr",
"role": "user"
},
{
"content": "At what speed does the stream flow when a canoe's upstream speed is 6 km/hr and its downstream speed is 12 km/hr?",
"role": "assistant"
}
] |
At what speed does the stream flow when a canoe's upstream speed is 6 km/hr and its downstream speed is 12 km/hr?
|
what is the speed of the stream if a canoe rows upstream at 6 km / hr and downstream at 12 km / hr
|
a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses . next year his income increases by 40 % but his savings increase by 100 % . if his total expenditure in 2 years is double his expenditure in 1 st year , what % age of his income in the first year did he save ?
|
[
{
"content": "a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses . next year his income increases by 40 % but his savings increase by 100 % . if his total expenditure in 2 years is double his expenditure in 1 st year , what % age of his income in the first year did he save ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text, preserving the original structure and semantics:\n\nA man sets aside a portion of his annual income while using the rest for personal expenses. In the following year, his income rises by 40%, and his savings double. If his total expenses over two years are twice those of the first year, what percentage of his initial year's income did he save?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text, preserving the original structure and semantics:
A man sets aside a portion of his annual income while using the rest for personal expenses. In the following year, his income rises by 40%, and his savings double. If his total expenses over two years are twice those of the first year, what percentage of his initial year's income did he save?
|
a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses . next year his income increases by 40 % but his savings increase by 100 % . if his total expenditure in 2 years is double his expenditure in 1 st year , what % age of his income in the first year did he save ?
|
a train passes a station platform in 40 sec and a man standing on the platform in 20 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?
|
[
{
"content": "a train passes a station platform in 40 sec and a man standing on the platform in 20 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?",
"role": "user"
},
{
"content": "If a train travels past a station platform in 40 seconds and a man on the platform in 20 seconds at 54 km/hr, what is the platform's length?",
"role": "assistant"
}
] |
If a train travels past a station platform in 40 seconds and a man on the platform in 20 seconds at 54 km/hr, what is the platform's length?
|
a train passes a station platform in 40 sec and a man standing on the platform in 20 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?
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speed of a boat in standing water is 10 kmph and speed of the stream is 1.5 kmph . a man can rows to a place at a distance of 105 km and comes back to the starting point . the total time taken by him is ?
|
[
{
"content": "speed of a boat in standing water is 10 kmph and speed of the stream is 1.5 kmph . a man can rows to a place at a distance of 105 km and comes back to the starting point . the total time taken by him is ?",
"role": "user"
},
{
"content": "What is the total time taken by the man to row 105 km to a place and return, given the boat's speed in still water is 10 kmph and the stream's speed is 1.5 kmph?",
"role": "assistant"
}
] |
What is the total time taken by the man to row 105 km to a place and return, given the boat's speed in still water is 10 kmph and the stream's speed is 1.5 kmph?
|
speed of a boat in standing water is 10 kmph and speed of the stream is 1.5 kmph . a man can rows to a place at a distance of 105 km and comes back to the starting point . the total time taken by him is ?
|
a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 587.75 . how many boxes of plain cookies did she sell ?
|
[
{
"content": "a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 587.75 . how many boxes of plain cookies did she sell ?",
"role": "user"
},
{
"content": "What was the number of boxes of plain cookies sold by the girl scout?",
"role": "assistant"
}
] |
What was the number of boxes of plain cookies sold by the girl scout?
|
a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 587.75 . how many boxes of plain cookies did she sell ?
|
find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 10 as remainder
|
[
{
"content": "find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 10 as remainder",
"role": "user"
},
{
"content": "What's the larger number given that the difference between two numbers is 1365, and when the larger is divided by the smaller, the quotient is 6 with a remainder of 10",
"role": "assistant"
}
] |
What's the larger number given that the difference between two numbers is 1365, and when the larger is divided by the smaller, the quotient is 6 with a remainder of 10
|
find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 10 as remainder
|
two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every fourth , starting with the fourth , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ?
|
[
{
"content": "two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every fourth , starting with the fourth , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ?",
"role": "user"
},
{
"content": "In the first hour of operation, how many of the 98 widgets produced are missed by both Lauren and Steven, who inspect every fifth and fourth widget respectively?",
"role": "assistant"
}
] |
In the first hour of operation, how many of the 98 widgets produced are missed by both Lauren and Steven, who inspect every fifth and fourth widget respectively?
|
two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every fourth , starting with the fourth , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ?
|
what least number must be added to 3000 to obtain a number exactly divisible by 19 ?
|
[
{
"content": "what least number must be added to 3000 to obtain a number exactly divisible by 19 ?",
"role": "user"
},
{
"content": "What is the minimum number that needs to be added to 3000 in order to make it a multiple of 19 ?",
"role": "assistant"
}
] |
What is the minimum number that needs to be added to 3000 in order to make it a multiple of 19 ?
|
what least number must be added to 3000 to obtain a number exactly divisible by 19 ?
|
the probability that event a occurs is 0.4 , and the probability that events a and b both occur is 0.45 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event b will occur ?
|
[
{
"content": "the probability that event a occurs is 0.4 , and the probability that events a and b both occur is 0.45 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event b will occur ?",
"role": "user"
},
{
"content": "With the probability of event A being 0.4 and the probability of both A and B occurring being 0.45, and given that the probability of either A or B occurring is 0.6, what is the probability of event B occurring?",
"role": "assistant"
}
] |
With the probability of event A being 0.4 and the probability of both A and B occurring being 0.45, and given that the probability of either A or B occurring is 0.6, what is the probability of event B occurring?
|
the probability that event a occurs is 0.4 , and the probability that events a and b both occur is 0.45 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event b will occur ?
|
the length of the bridge , which a train 130 metres long and travelling at 36 km / hr can cross in 45 seconds , is :
|
[
{
"content": "the length of the bridge , which a train 130 metres long and travelling at 36 km / hr can cross in 45 seconds , is :",
"role": "user"
},
{
"content": "What is the length of the bridge that a 130m long train travelling at 36 km/hr can cross in 45 seconds?",
"role": "assistant"
}
] |
What is the length of the bridge that a 130m long train travelling at 36 km/hr can cross in 45 seconds?
|
the length of the bridge , which a train 130 metres long and travelling at 36 km / hr can cross in 45 seconds , is :
|
the speed of a car increases by 2 kms after every one hour . if the distance travelled in the first one hour was 35 kms , what was the total distance travelled in 12 hours ?
|
[
{
"content": "the speed of a car increases by 2 kms after every one hour . if the distance travelled in the first one hour was 35 kms , what was the total distance travelled in 12 hours ?",
"role": "user"
},
{
"content": "If a car's speed increases by 2 km every hour, and it traveled 35 km in the first hour, what is the total distance covered in 12 hours?",
"role": "assistant"
}
] |
If a car's speed increases by 2 km every hour, and it traveled 35 km in the first hour, what is the total distance covered in 12 hours?
|
the speed of a car increases by 2 kms after every one hour . if the distance travelled in the first one hour was 35 kms , what was the total distance travelled in 12 hours ?
|
evaluate : 11110 + 24 * 3 * 10 = ?
|
[
{
"content": "evaluate : 11110 + 24 * 3 * 10 = ?",
"role": "user"
},
{
"content": "What is the value of 11110 + 24 * 3 * 10?",
"role": "assistant"
}
] |
What is the value of 11110 + 24 * 3 * 10?
|
evaluate : 11110 + 24 * 3 * 10 = ?
|
mariah has decided to hire three workers . to determine whom she will hire , she has selected a group of 15 candidates . she plans to have one working interview with 3 of the 15 candidates every day to see how well they work together . how many days will it take her to have working interviews with all the different combinations of job candidates ?
|
[
{
"content": "mariah has decided to hire three workers . to determine whom she will hire , she has selected a group of 15 candidates . she plans to have one working interview with 3 of the 15 candidates every day to see how well they work together . how many days will it take her to have working interviews with all the different combinations of job candidates ?",
"role": "user"
},
{
"content": "To find out how many days Mariah will need to conduct working interviews with all the different combinations of job candidates, she will have to determine the number of combinations of 3 candidates from a group of 15.",
"role": "assistant"
}
] |
To find out how many days Mariah will need to conduct working interviews with all the different combinations of job candidates, she will have to determine the number of combinations of 3 candidates from a group of 15.
|
mariah has decided to hire three workers . to determine whom she will hire , she has selected a group of 15 candidates . she plans to have one working interview with 3 of the 15 candidates every day to see how well they work together . how many days will it take her to have working interviews with all the different combinations of job candidates ?
|
what is the difference between the largest number and the least number written with the digits 6 , 3 , 2 , 5 ?
|
[
{
"content": "what is the difference between the largest number and the least number written with the digits 6 , 3 , 2 , 5 ?",
"role": "user"
},
{
"content": "How does the largest number written with the digits 6, 3, 2, 5 compare to the smallest number written with the same digits?",
"role": "assistant"
}
] |
How does the largest number written with the digits 6, 3, 2, 5 compare to the smallest number written with the same digits?
|
what is the difference between the largest number and the least number written with the digits 6 , 3 , 2 , 5 ?
|
a money lender lent rs . 1000 at 4 % per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years .
|
[
{
"content": "a money lender lent rs . 1000 at 4 % per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years .",
"role": "user"
},
{
"content": "At what number of years will a total interest of Rs. 350 be accrued on a Rs. 1000 loan at 4% per year and a Rs. 1400 loan at 5% per year?",
"role": "assistant"
}
] |
At what number of years will a total interest of Rs. 350 be accrued on a Rs. 1000 loan at 4% per year and a Rs. 1400 loan at 5% per year?
|
a money lender lent rs . 1000 at 4 % per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years .
|
a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 4 students left over . what is the sum of the two smallest possible values of n ?
|
[
{
"content": "a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 4 students left over . what is the sum of the two smallest possible values of n ?",
"role": "user"
},
{
"content": "What are the two smallest values of n for which a group of n students can be divided into groups of 4 with 1 student remaining and groups of 5 with 4 students remaining, and what is their sum?",
"role": "assistant"
}
] |
What are the two smallest values of n for which a group of n students can be divided into groups of 4 with 1 student remaining and groups of 5 with 4 students remaining, and what is their sum?
|
a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 4 students left over . what is the sum of the two smallest possible values of n ?
|
in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 7 to the thrice of the remainder . the dividend is
|
[
{
"content": "in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 7 to the thrice of the remainder . the dividend is",
"role": "user"
},
{
"content": "In a division problem, the remainder is 6, the divisor is 5 times the quotient, and is found by adding 7 to three times the remainder. What is the dividend?",
"role": "assistant"
}
] |
In a division problem, the remainder is 6, the divisor is 5 times the quotient, and is found by adding 7 to three times the remainder. What is the dividend?
|
in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 7 to the thrice of the remainder . the dividend is
|
a and b together can do a piece of work in 8 days . if a alone can do the same work in 20 days , then b alone can do the same work in ?
|
[
{
"content": "a and b together can do a piece of work in 8 days . if a alone can do the same work in 20 days , then b alone can do the same work in ?",
"role": "user"
},
{
"content": "If a and b can complete a job together in 8 days, and a can complete it alone in 20 days, then how many days will it take b to complete the job alone?",
"role": "assistant"
}
] |
If a and b can complete a job together in 8 days, and a can complete it alone in 20 days, then how many days will it take b to complete the job alone?
|
a and b together can do a piece of work in 8 days . if a alone can do the same work in 20 days , then b alone can do the same work in ?
|
circular gears l and r start to rotate at the same time at the same rate . gear l makes 20 complete revolutions per minute and gear r makes 60 revolutions per minute . how many seconds after the gears start to rotate will gear r have made exactly 8 more revolutions than gear l ?
|
[
{
"content": "circular gears l and r start to rotate at the same time at the same rate . gear l makes 20 complete revolutions per minute and gear r makes 60 revolutions per minute . how many seconds after the gears start to rotate will gear r have made exactly 8 more revolutions than gear l ?",
"role": "user"
},
{
"content": "After both circular gears l and r start rotating simultaneously at the same rate, with gear l making 20 revolutions per minute and gear r making 60 revolutions per minute, how many seconds will pass before gear r completes exactly 8 more revolutions than gear l?",
"role": "assistant"
}
] |
After both circular gears l and r start rotating simultaneously at the same rate, with gear l making 20 revolutions per minute and gear r making 60 revolutions per minute, how many seconds will pass before gear r completes exactly 8 more revolutions than gear l?
|
circular gears l and r start to rotate at the same time at the same rate . gear l makes 20 complete revolutions per minute and gear r makes 60 revolutions per minute . how many seconds after the gears start to rotate will gear r have made exactly 8 more revolutions than gear l ?
|
for all positive integers m and v , the expression m ΞΈ v represents the remainder when m is divided by v . what is the value of ( ( 90 ΞΈ 33 ) ΞΈ 17 ) - ( 97 ΞΈ ( 33 ΞΈ 17 ) ) ?
|
[
{
"content": "for all positive integers m and v , the expression m ΞΈ v represents the remainder when m is divided by v . what is the value of ( ( 90 ΞΈ 33 ) ΞΈ 17 ) - ( 97 ΞΈ ( 33 ΞΈ 17 ) ) ?",
"role": "user"
},
{
"content": "What is the value of ((90 mod 33) mod 17) - (97 mod (33 mod 17))?",
"role": "assistant"
}
] |
What is the value of ((90 mod 33) mod 17) - (97 mod (33 mod 17))?
|
for all positive integers m and v , the expression m ΞΈ v represents the remainder when m is divided by v . what is the value of ( ( 90 ΞΈ 33 ) ΞΈ 17 ) - ( 97 ΞΈ ( 33 ΞΈ 17 ) ) ?
|
what is the range of all the roots of | x ^ 2 - 3 | = x ?
|
[
{
"content": "what is the range of all the roots of | x ^ 2 - 3 | = x ?",
"role": "user"
},
{
"content": "What is the range of solutions for | x ^ 2 - 3 | = x ?",
"role": "assistant"
}
] |
What is the range of solutions for | x ^ 2 - 3 | = x ?
|
what is the range of all the roots of | x ^ 2 - 3 | = x ?
|
if 1,000 microns = 1 decimeter , and 1,000 , 000,000 angstroms = 1 decimeter , how many angstroms equal 1 micron ?
|
[
{
"content": "if 1,000 microns = 1 decimeter , and 1,000 , 000,000 angstroms = 1 decimeter , how many angstroms equal 1 micron ?",
"role": "user"
},
{
"content": "What is the number of angstroms in 1 micron if 1 decimeter is equivalent to 1,000 microns and 1,000,000,000 angstroms?",
"role": "assistant"
}
] |
What is the number of angstroms in 1 micron if 1 decimeter is equivalent to 1,000 microns and 1,000,000,000 angstroms?
|
if 1,000 microns = 1 decimeter , and 1,000 , 000,000 angstroms = 1 decimeter , how many angstroms equal 1 micron ?
|
if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of $ 8400 ?
|
[
{
"content": "if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of $ 8400 ?",
"role": "user"
},
{
"content": "How much of a difference would a reduction in sales tax from 3 1/2% to 3 1/3% make for someone buying an $8400 item?",
"role": "assistant"
}
] |
How much of a difference would a reduction in sales tax from 3 1/2% to 3 1/3% make for someone buying an $8400 item?
|
if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of $ 8400 ?
|
the sum of three consecutive numbers is 63 . the greatest among these three number is :
|
[
{
"content": "the sum of three consecutive numbers is 63 . the greatest among these three number is :",
"role": "user"
},
{
"content": "What is the largest of three consecutive numbers whose sum is 63?",
"role": "assistant"
}
] |
What is the largest of three consecutive numbers whose sum is 63?
|
the sum of three consecutive numbers is 63 . the greatest among these three number is :
|
machine p and machine q are each used to manufacture 770 sprockets . it takes machine p 10 hours longer to produce 770 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?
|
[
{
"content": "machine p and machine q are each used to manufacture 770 sprockets . it takes machine p 10 hours longer to produce 770 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?",
"role": "user"
},
{
"content": "What is the hourly production rate of machine A, given that it takes 10 hours longer than machine Q to produce 770 sprockets, and machine Q produces 10% more sprockets per hour than machine A?",
"role": "assistant"
}
] |
What is the hourly production rate of machine A, given that it takes 10 hours longer than machine Q to produce 770 sprockets, and machine Q produces 10% more sprockets per hour than machine A?
|
machine p and machine q are each used to manufacture 770 sprockets . it takes machine p 10 hours longer to produce 770 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?
|
the c . p of 20 books is equal to the s . p of 30 books . find his gain % or loss % ?
|
[
{
"content": "the c . p of 20 books is equal to the s . p of 30 books . find his gain % or loss % ?",
"role": "user"
},
{
"content": "What is the percentage gain or loss when the cost price of 20 books equals the selling price of 30 books?",
"role": "assistant"
}
] |
What is the percentage gain or loss when the cost price of 20 books equals the selling price of 30 books?
|
the c . p of 20 books is equal to the s . p of 30 books . find his gain % or loss % ?
|
weights of two friends ram and shyam are in the ratio 3 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?
|
[
{
"content": "weights of two friends ram and shyam are in the ratio 3 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text, preserving the original structure and semantics:\n\nRam and Shyam's weights are in a 3:5 ratio. If Ram's weight is increased by 10% and their combined weight becomes 82.8 kg, a 15% increase, what percentage increase is needed in Shyam's weight?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text, preserving the original structure and semantics:
Ram and Shyam's weights are in a 3:5 ratio. If Ram's weight is increased by 10% and their combined weight becomes 82.8 kg, a 15% increase, what percentage increase is needed in Shyam's weight?
|
weights of two friends ram and shyam are in the ratio 3 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?
|
in the manufacture of a certain product , 7 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?
|
[
{
"content": "in the manufacture of a certain product , 7 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?",
"role": "user"
},
{
"content": "What percentage of the manufactured units are defective and ultimately shipped out for sale?",
"role": "assistant"
}
] |
What percentage of the manufactured units are defective and ultimately shipped out for sale?
|
in the manufacture of a certain product , 7 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?
|
the average age of 35 students in a class is 16 years . the average age of 21 students is 14 . what is the average age of remaining 7 students ?
|
[
{
"content": "the average age of 35 students in a class is 16 years . the average age of 21 students is 14 . what is the average age of remaining 7 students ?",
"role": "user"
},
{
"content": "What is the average age of the 14 students who are not part of the 21 students with an average age of 14",
"role": "assistant"
}
] |
What is the average age of the 14 students who are not part of the 21 students with an average age of 14
|
the average age of 35 students in a class is 16 years . the average age of 21 students is 14 . what is the average age of remaining 7 students ?
|
a trader bought a car at 30 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ?
|
[
{
"content": "a trader bought a car at 30 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ?",
"role": "user"
},
{
"content": "A trader purchased a car at a 30% discount from the original price and then sold it for an 80% increase from the purchase price. What percentage profit did he make from the original price?",
"role": "assistant"
}
] |
A trader purchased a car at a 30% discount from the original price and then sold it for an 80% increase from the purchase price. What percentage profit did he make from the original price?
|
a trader bought a car at 30 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ?
|
a boy goes to his school from his house at a speed of 3 km / hr and return 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 return 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 return at a speed of 2 km / hr . if he takes 5 hours in going and coming , the distance between his house and school is ?
|
how many seconds will a 600 meter long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?
|
[
{
"content": "how many seconds will a 600 meter long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?",
"role": "user"
},
{
"content": "At a speed of 63 km/hr, how long will it take a 600-meter train to pass a pedestrian walking at 3 km/hr in the same direction as the train?",
"role": "assistant"
}
] |
At a speed of 63 km/hr, how long will it take a 600-meter train to pass a pedestrian walking at 3 km/hr in the same direction as the train?
|
how many seconds will a 600 meter long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?
|
a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , which a and b together can do it in 2 hours . how long will c alone take to do it ?
|
[
{
"content": "a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , which a and b together can do it in 2 hours . how long will c alone take to do it ?",
"role": "user"
},
{
"content": "What's the time c alone needs to complete the work?",
"role": "assistant"
}
] |
What's the time c alone needs to complete the work?
|
a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , which a and b together can do it in 2 hours . how long will c alone take to do it ?
|
a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 60 percent of books that were loaned out are returned and there are 65 books in the special collection at that time , how many books of the special collection were loaned out during that month ?
|
[
{
"content": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 60 percent of books that were loaned out are returned and there are 65 books in the special collection at that time , how many books of the special collection were loaned out during that month ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nA library has 75 books in a special collection, all present at the start of the month. These books are sometimes lent out through an inter-library program. If 60% of the loaned books are returned by month's end, and there are 65 books in the collection, how many books from the collection were loaned out that month?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
A library has 75 books in a special collection, all present at the start of the month. These books are sometimes lent out through an inter-library program. If 60% of the loaned books are returned by month's end, and there are 65 books in the collection, how many books from the collection were loaned out that month?
|
a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 60 percent of books that were loaned out are returned and there are 65 books in the special collection at that time , how many books of the special collection were loaned out during that month ?
|
cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost q is what percent of the original cost ?
|
[
{
"content": "cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost q is what percent of the original cost ?",
"role": "user"
},
{
"content": "What is the percentage of the original cost when b is doubled in the formula tb^4 to get the new cost q?",
"role": "assistant"
}
] |
What is the percentage of the original cost when b is doubled in the formula tb^4 to get the new cost q?
|
cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost q is what percent of the original cost ?
|
albert is 2 times mary β s age and 4 times as old as betty . mary is 12 years younger than albert . how old is betty ?
|
[
{
"content": "albert is 2 times mary β s age and 4 times as old as betty . mary is 12 years younger than albert . how old is betty ?",
"role": "user"
},
{
"content": "What is Betty's age given that Albert is twice as old as Mary and four times as old as Betty, and Mary is 12 years younger than Albert?",
"role": "assistant"
}
] |
What is Betty's age given that Albert is twice as old as Mary and four times as old as Betty, and Mary is 12 years younger than Albert?
|
albert is 2 times mary β s age and 4 times as old as betty . mary is 12 years younger than albert . how old is betty ?
|
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