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if xy = 4 , x / y = 16 , for positive numbers x and y , y = ?
|
[
{
"content": "if xy = 4 , x / y = 16 , for positive numbers x and y , y = ?",
"role": "user"
},
{
"content": "If the product of x and y is 4, and the quotient of x and y is 16, what is the value of y for positive x and y?",
"role": "assistant"
}
] |
If the product of x and y is 4, and the quotient of x and y is 16, what is the value of y for positive x and y?
|
if xy = 4 , x / y = 16 , for positive numbers x and y , y = ?
|
if a boat is rowed downstream for 24 km in 4 hours and upstream for 48 km in 24 hours , what is the speed of the boat and the river ?
|
[
{
"content": "if a boat is rowed downstream for 24 km in 4 hours and upstream for 48 km in 24 hours , what is the speed of the boat and the river ?",
"role": "user"
},
{
"content": "What are the boat's speed and the river's speed if the boat travels 24 km downstream in 4 hours and 48 km upstream in 24 hours?",
"role": "assistant"
}
] |
What are the boat's speed and the river's speed if the boat travels 24 km downstream in 4 hours and 48 km upstream in 24 hours?
|
if a boat is rowed downstream for 24 km in 4 hours and upstream for 48 km in 24 hours , what is the speed of the boat and the river ?
|
after a storm deposits 120 billion gallons of water into the city reservoir , the reservoir is 50 % full . if the original contents of the reservoir totaled 280 billion gallons , the reservoir was approximately what percentage full before the storm ?
|
[
{
"content": "after a storm deposits 120 billion gallons of water into the city reservoir , the reservoir is 50 % full . if the original contents of the reservoir totaled 280 billion gallons , the reservoir was approximately what percentage full before the storm ?",
"role": "user"
},
{
"content": "What percentage full was the reservoir before the storm, if the original contents totaled 280 billion gallons and it became 50% full after receiving 120 billion gallons of water?",
"role": "assistant"
}
] |
What percentage full was the reservoir before the storm, if the original contents totaled 280 billion gallons and it became 50% full after receiving 120 billion gallons of water?
|
after a storm deposits 120 billion gallons of water into the city reservoir , the reservoir is 50 % full . if the original contents of the reservoir totaled 280 billion gallons , the reservoir was approximately what percentage full before the storm ?
|
in a garden , there are 12 rows and 14 columns of mango trees . the distance between two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is
|
[
{
"content": "in a garden , there are 12 rows and 14 columns of mango trees . the distance between two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is",
"role": "user"
},
{
"content": "In a garden, there are 12 rows and 14 columns of mango trees, with a 2-metre gap between trees and a 1-metre buffer around the garden's perimeter, so the garden's length is",
"role": "assistant"
}
] |
In a garden, there are 12 rows and 14 columns of mango trees, with a 2-metre gap between trees and a 1-metre buffer around the garden's perimeter, so the garden's length is
|
in a garden , there are 12 rows and 14 columns of mango trees . the distance between two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is
|
the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 86 , and the average of the female students ’ grades was 92 , how many female students took the test ?
|
[
{
"content": "the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 86 , and the average of the female students ’ grades was 92 , how many female students took the test ?",
"role": "user"
},
{
"content": "What was the number of female students who took the test, given that the overall average was 90, the average for the 8 male students was 86, and the average for the female students was 92?",
"role": "assistant"
}
] |
What was the number of female students who took the test, given that the overall average was 90, the average for the 8 male students was 86, and the average for the female students was 92?
|
the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 86 , and the average of the female students ’ grades was 92 , how many female students took the test ?
|
a cycle is bought for rs . 800 and sold for rs . 1080 , find the gain percent ?
|
[
{
"content": "a cycle is bought for rs . 800 and sold for rs . 1080 , find the gain percent ?",
"role": "user"
},
{
"content": "What is the percentage gain on a cycle bought for Rs. 800 and sold for Rs. 1080?",
"role": "assistant"
}
] |
What is the percentage gain on a cycle bought for Rs. 800 and sold for Rs. 1080?
|
a cycle is bought for rs . 800 and sold for rs . 1080 , find the gain percent ?
|
a man invests some money partly in 12 % stock at 108 and partly in 10 % stock at 60 . to obtain equal dividends from both , he must invest the money in the ratio :
|
[
{
"content": "a man invests some money partly in 12 % stock at 108 and partly in 10 % stock at 60 . to obtain equal dividends from both , he must invest the money in the ratio :",
"role": "user"
},
{
"content": "In order to receive equal dividends from both investments, a man who puts some of his money into 12% stock at 108 and the rest into 10% stock at 60 should use which ratio for investment?",
"role": "assistant"
}
] |
In order to receive equal dividends from both investments, a man who puts some of his money into 12% stock at 108 and the rest into 10% stock at 60 should use which ratio for investment?
|
a man invests some money partly in 12 % stock at 108 and partly in 10 % stock at 60 . to obtain equal dividends from both , he must invest the money in the ratio :
|
a train running at the speed of 60 km / hr crosses a pole in 6 seconds . find the length of the train .
|
[
{
"content": "a train running at the speed of 60 km / hr crosses a pole in 6 seconds . find the length of the train .",
"role": "user"
},
{
"content": "To find the length of the train, calculate the distance it covers in 6 seconds at a speed of 60 km/hr.",
"role": "assistant"
}
] |
To find the length of the train, calculate the distance it covers in 6 seconds at a speed of 60 km/hr.
|
a train running at the speed of 60 km / hr crosses a pole in 6 seconds . find the length of the train .
|
laura took out a charge account at the general store and agreed to pay 8 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ?
|
[
{
"content": "laura took out a charge account at the general store and agreed to pay 8 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ?",
"role": "user"
},
{
"content": "If Laura opens a charge account at the general store with an 8% annual interest rate and spends $35 in January, how much will she owe after a year without making any additional purchases or payments?",
"role": "assistant"
}
] |
If Laura opens a charge account at the general store with an 8% annual interest rate and spends $35 in January, how much will she owe after a year without making any additional purchases or payments?
|
laura took out a charge account at the general store and agreed to pay 8 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ?
|
a man purchased 3 blankets @ rs . 100 each , 4 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ?
|
[
{
"content": "a man purchased 3 blankets @ rs . 100 each , 4 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ?",
"role": "user"
},
{
"content": "What was the price of the two blankets whose cost the man can't recall, given that he bought 3 blankets at Rs. 100 each and 4 at Rs. 150 each, with an overall average price of Rs. 150?",
"role": "assistant"
}
] |
What was the price of the two blankets whose cost the man can't recall, given that he bought 3 blankets at Rs. 100 each and 4 at Rs. 150 each, with an overall average price of Rs. 150?
|
a man purchased 3 blankets @ rs . 100 each , 4 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ?
|
rates for having a manuscript typed at a certain typing service are $ 6 per page for the first time a page is typed and $ 4 per page each time a page is revised . if a certain manuscript has 100 pages , of which 40 were revised only once , 10 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ?
|
[
{
"content": "rates for having a manuscript typed at a certain typing service are $ 6 per page for the first time a page is typed and $ 4 per page each time a page is revised . if a certain manuscript has 100 pages , of which 40 were revised only once , 10 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ?",
"role": "user"
},
{
"content": "What is the total cost of typing a 100-page manuscript, given the rates are $6 for the initial typing and $4 for each revision, with 40 pages revised once, 10 pages revised twice, and the rest not revised?",
"role": "assistant"
}
] |
What is the total cost of typing a 100-page manuscript, given the rates are $6 for the initial typing and $4 for each revision, with 40 pages revised once, 10 pages revised twice, and the rest not revised?
|
rates for having a manuscript typed at a certain typing service are $ 6 per page for the first time a page is typed and $ 4 per page each time a page is revised . if a certain manuscript has 100 pages , of which 40 were revised only once , 10 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ?
|
a gambler has won 40 % of his 30 poker games for the week so far . if , all of a sudden , his luck changes and he begins winning 70 % of the time , how many more games must he play to end up winning 60 % of all his games for the week ?
|
[
{
"content": "a gambler has won 40 % of his 30 poker games for the week so far . if , all of a sudden , his luck changes and he begins winning 70 % of the time , how many more games must he play to end up winning 60 % of all his games for the week ?",
"role": "user"
},
{
"content": "If a gambler has won 40% of his 30 poker games so far, how many more games does he need to play to achieve a 60% win rate if his luck changes and he starts winning 70% of the time?",
"role": "assistant"
}
] |
If a gambler has won 40% of his 30 poker games so far, how many more games does he need to play to achieve a 60% win rate if his luck changes and he starts winning 70% of the time?
|
a gambler has won 40 % of his 30 poker games for the week so far . if , all of a sudden , his luck changes and he begins winning 70 % of the time , how many more games must he play to end up winning 60 % of all his games for the week ?
|
one night a certain hotel rented 4 / 5 of its rooms , including 2 / 3 of their air conditioned rooms . if 3 / 5 of its rooms were air conditioned , what percent of the rooms that were not rented were air conditioned ?
|
[
{
"content": "one night a certain hotel rented 4 / 5 of its rooms , including 2 / 3 of their air conditioned rooms . if 3 / 5 of its rooms were air conditioned , what percent of the rooms that were not rented were air conditioned ?",
"role": "user"
},
{
"content": "What percentage of the unrented rooms were air-conditioned if 3/5 of the rooms were air-conditioned, given that a hotel rented 4/5 of its rooms, including 2/3 of its air-conditioned rooms?",
"role": "assistant"
}
] |
What percentage of the unrented rooms were air-conditioned if 3/5 of the rooms were air-conditioned, given that a hotel rented 4/5 of its rooms, including 2/3 of its air-conditioned rooms?
|
one night a certain hotel rented 4 / 5 of its rooms , including 2 / 3 of their air conditioned rooms . if 3 / 5 of its rooms were air conditioned , what percent of the rooms that were not rented were air conditioned ?
|
a is 30 % more efficient than b . how much time they will working together take to complete a job which a alone could have done in 23 days ?
|
[
{
"content": "a is 30 % more efficient than b . how much time they will working together take to complete a job which a alone could have done in 23 days ?",
"role": "user"
},
{
"content": "What's the time required for a and b to complete a job together that a alone could finish in 23 days, given a is 30% more efficient than b?",
"role": "assistant"
}
] |
What's the time required for a and b to complete a job together that a alone could finish in 23 days, given a is 30% more efficient than b?
|
a is 30 % more efficient than b . how much time they will working together take to complete a job which a alone could have done in 23 days ?
|
this year , mbb consulting fired 6 % of its employees and left remaining employee salaries unchanged . sally , a first - year post - mba consultant , noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before . the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction ?
|
[
{
"content": "this year , mbb consulting fired 6 % of its employees and left remaining employee salaries unchanged . sally , a first - year post - mba consultant , noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before . the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction ?",
"role": "user"
},
{
"content": "What percentage of the original total salary pool was allocated to employees after the headcount reduction?",
"role": "assistant"
}
] |
What percentage of the original total salary pool was allocated to employees after the headcount reduction?
|
this year , mbb consulting fired 6 % of its employees and left remaining employee salaries unchanged . sally , a first - year post - mba consultant , noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before . the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction ?
|
the average age of a group of 10 students is 20 years . if 2 more students join the group , the average age increases by 1 year . the average age of the new students is
|
[
{
"content": "the average age of a group of 10 students is 20 years . if 2 more students join the group , the average age increases by 1 year . the average age of the new students is",
"role": "user"
},
{
"content": "What is the average age of the two new students?",
"role": "assistant"
}
] |
What is the average age of the two new students?
|
the average age of a group of 10 students is 20 years . if 2 more students join the group , the average age increases by 1 year . the average age of the new students is
|
in the set of positive integers from 1 to 100 , what is the sum of all the odd multiples of 5 ?
|
[
{
"content": "in the set of positive integers from 1 to 100 , what is the sum of all the odd multiples of 5 ?",
"role": "user"
},
{
"content": "What is the sum of all odd multiples of 5 between 1 and 100?",
"role": "assistant"
}
] |
What is the sum of all odd multiples of 5 between 1 and 100?
|
in the set of positive integers from 1 to 100 , what is the sum of all the odd multiples of 5 ?
|
find the cost of fencing around a circular field of diameter 12 m at the rate of rs . 3.50 a meter ?
|
[
{
"content": "find the cost of fencing around a circular field of diameter 12 m at the rate of rs . 3.50 a meter ?",
"role": "user"
},
{
"content": "What is the cost of fencing a circular field with a 12m diameter at a rate of Rs. 3.50 per meter?",
"role": "assistant"
}
] |
What is the cost of fencing a circular field with a 12m diameter at a rate of Rs. 3.50 per meter?
|
find the cost of fencing around a circular field of diameter 12 m at the rate of rs . 3.50 a meter ?
|
a group of 55 adults and 70 children go for trekking . if there is meal for either 70 adults or 90 children and if 28 adults have their meal , find the total number of children that can be catered with the remaining food .
|
[
{
"content": "a group of 55 adults and 70 children go for trekking . if there is meal for either 70 adults or 90 children and if 28 adults have their meal , find the total number of children that can be catered with the remaining food .",
"role": "user"
},
{
"content": "A group of 55 adults and 70 children go trekking. If there is enough food for either 70 adults or 90 children, and 28 adults have eaten, how many children can be fed with the remaining food?",
"role": "assistant"
}
] |
A group of 55 adults and 70 children go trekking. If there is enough food for either 70 adults or 90 children, and 28 adults have eaten, how many children can be fed with the remaining food?
|
a group of 55 adults and 70 children go for trekking . if there is meal for either 70 adults or 90 children and if 28 adults have their meal , find the total number of children that can be catered with the remaining food .
|
a side of beef lost 25 percent of its weight in processing . if the side of beef weighed 540 pounds after processing , how many pounds did it weigh before processing ?
|
[
{
"content": "a side of beef lost 25 percent of its weight in processing . if the side of beef weighed 540 pounds after processing , how many pounds did it weigh before processing ?",
"role": "user"
},
{
"content": "A side of beef weighed 540 pounds after losing 25 percent of its weight - what was its original weight ?",
"role": "assistant"
}
] |
A side of beef weighed 540 pounds after losing 25 percent of its weight - what was its original weight ?
|
a side of beef lost 25 percent of its weight in processing . if the side of beef weighed 540 pounds after processing , how many pounds did it weigh before processing ?
|
when a random experiment is conducted , the probability that event a occurs is 1 / 3 . if the random experiment is conducted 5 independent times , what is the probability that event a occurs exactly twice ?
|
[
{
"content": "when a random experiment is conducted , the probability that event a occurs is 1 / 3 . if the random experiment is conducted 5 independent times , what is the probability that event a occurs exactly twice ?",
"role": "user"
},
{
"content": "In 5 independent trials of a random experiment with a 1/3 probability of event A occurring, what's the likelihood of A happening exactly twice?",
"role": "assistant"
}
] |
In 5 independent trials of a random experiment with a 1/3 probability of event A occurring, what's the likelihood of A happening exactly twice?
|
when a random experiment is conducted , the probability that event a occurs is 1 / 3 . if the random experiment is conducted 5 independent times , what is the probability that event a occurs exactly twice ?
|
a reduction of 30 % in the price of oil enables a house wife to obtain 6 kgs more for rs . 940 , what is the reduced price for kg ?
|
[
{
"content": "a reduction of 30 % in the price of oil enables a house wife to obtain 6 kgs more for rs . 940 , what is the reduced price for kg ?",
"role": "user"
},
{
"content": "If a 30% decrease in oil prices allows a housewife to buy 6 kgs more oil for Rs. 940, what is the new price per kg?",
"role": "assistant"
}
] |
If a 30% decrease in oil prices allows a housewife to buy 6 kgs more oil for Rs. 940, what is the new price per kg?
|
a reduction of 30 % in the price of oil enables a house wife to obtain 6 kgs more for rs . 940 , what is the reduced price for kg ?
|
the compound ratio of 5 : 6 , 3 : 2 and 6 : 5 ?
|
[
{
"content": "the compound ratio of 5 : 6 , 3 : 2 and 6 : 5 ?",
"role": "user"
},
{
"content": "What is the compound ratio of 5 : 6 , 3 : 2 , and 6 : 5 ?",
"role": "assistant"
}
] |
What is the compound ratio of 5 : 6 , 3 : 2 , and 6 : 5 ?
|
the compound ratio of 5 : 6 , 3 : 2 and 6 : 5 ?
|
a certain company reported that the revenue on sales increased 30 % from 2000 to 2003 , and increased 80 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ?
|
[
{
"content": "a certain company reported that the revenue on sales increased 30 % from 2000 to 2003 , and increased 80 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ?",
"role": "user"
},
{
"content": "What was the approximate percent increase in revenue for this store from 2003 to 2005 ?",
"role": "assistant"
}
] |
What was the approximate percent increase in revenue for this store from 2003 to 2005 ?
|
a certain company reported that the revenue on sales increased 30 % from 2000 to 2003 , and increased 80 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ?
|
if a man lost 5 % by selling oranges at the rate of 8 a rupee at how many a rupee must he sell them to gain 52 % ?
|
[
{
"content": "if a man lost 5 % by selling oranges at the rate of 8 a rupee at how many a rupee must he sell them to gain 52 % ?",
"role": "user"
},
{
"content": "At what rate per rupee must the man sell the oranges to gain 52%, if he initially lost 5% selling them at 8 a rupee?",
"role": "assistant"
}
] |
At what rate per rupee must the man sell the oranges to gain 52%, if he initially lost 5% selling them at 8 a rupee?
|
if a man lost 5 % by selling oranges at the rate of 8 a rupee at how many a rupee must he sell them to gain 52 % ?
|
there are 32 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ?
|
[
{
"content": "there are 32 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ?",
"role": "user"
},
{
"content": "To enable a passenger to travel from any station to another, how many second-class tickets need to be printed, considering there are 32 stations between Ernakulam and Chennai?",
"role": "assistant"
}
] |
To enable a passenger to travel from any station to another, how many second-class tickets need to be printed, considering there are 32 stations between Ernakulam and Chennai?
|
there are 32 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ?
|
a and b together can do a work in 4 days . a alone can do it in 12 days . what time b will take to do the work alone ?
|
[
{
"content": "a and b together can do a work in 4 days . a alone can do it in 12 days . what time b will take to do the work alone ?",
"role": "user"
},
{
"content": "How long will b take to complete the work by itself?",
"role": "assistant"
}
] |
How long will b take to complete the work by itself?
|
a and b together can do a work in 4 days . a alone can do it in 12 days . what time b will take to do the work alone ?
|
two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.10 km and 1.9 km respectively . the time taken by the slower train to cross the faster train in seconds is ?
|
[
{
"content": "two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.10 km and 1.9 km respectively . the time taken by the slower train to cross the faster train in seconds is ?",
"role": "user"
},
{
"content": "How long in seconds does the slower train take to cross the faster train, which are moving towards each other at 60 km/hr and 90 km/hr, with lengths of 1.10 km and 1.9 km respectively?",
"role": "assistant"
}
] |
How long in seconds does the slower train take to cross the faster train, which are moving towards each other at 60 km/hr and 90 km/hr, with lengths of 1.10 km and 1.9 km respectively?
|
two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.10 km and 1.9 km respectively . the time taken by the slower train to cross the faster train in seconds is ?
|
a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 5 , ab = 5 and ac = 11 , what is the length of ae ?
|
[
{
"content": "a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 5 , ab = 5 and ac = 11 , what is the length of ae ?",
"role": "user"
},
{
"content": "Given points a, b, c, d, and e are on a straight line in sequence, and knowing bc is 2 times cd, de is 5, ab is 5, and ac is 11, what is the length of ae?",
"role": "assistant"
}
] |
Given points a, b, c, d, and e are on a straight line in sequence, and knowing bc is 2 times cd, de is 5, ab is 5, and ac is 11, what is the length of ae?
|
a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 5 , ab = 5 and ac = 11 , what is the length of ae ?
|
a can run 288 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?
|
[
{
"content": "a can run 288 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?",
"role": "user"
},
{
"content": "How much farther does A finish ahead of B in a 288-meter race",
"role": "assistant"
}
] |
How much farther does A finish ahead of B in a 288-meter race
|
a can run 288 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?
|
417 x 417 + 383 x 383 = ?
|
[
{
"content": "417 x 417 + 383 x 383 = ?",
"role": "user"
},
{
"content": "What is the result of 417 squared plus 383 squared?",
"role": "assistant"
}
] |
What is the result of 417 squared plus 383 squared?
|
417 x 417 + 383 x 383 = ?
|
if x / y = 7 / 4 , then ( x + y ) / ( x - y ) = ?
|
[
{
"content": "if x / y = 7 / 4 , then ( x + y ) / ( x - y ) = ?",
"role": "user"
},
{
"content": "What is the value of ( x + y ) / ( x - y ) if x / y = 7 / 4 ?",
"role": "assistant"
}
] |
What is the value of ( x + y ) / ( x - y ) if x / y = 7 / 4 ?
|
if x / y = 7 / 4 , then ( x + y ) / ( x - y ) = ?
|
if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.50 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was
|
[
{
"content": "if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.50 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was",
"role": "user"
},
{
"content": "If taxi fares were $1.00 for the first 1/5 mile and $0.50 for each additional 1/5 mile, then what would the taxi fare be for a 3-mile ride?",
"role": "assistant"
}
] |
If taxi fares were $1.00 for the first 1/5 mile and $0.50 for each additional 1/5 mile, then what would the taxi fare be for a 3-mile ride?
|
if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.50 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was
|
if 1.5 x = 0.04 y , then the value of ( y - x ) ( y + x ) is :
|
[
{
"content": "if 1.5 x = 0.04 y , then the value of ( y - x ) ( y + x ) is :",
"role": "user"
},
{
"content": "What is the value of ( y - x ) ( y + x ) if 1.5 x = 0.04 y ?",
"role": "assistant"
}
] |
What is the value of ( y - x ) ( y + x ) if 1.5 x = 0.04 y ?
|
if 1.5 x = 0.04 y , then the value of ( y - x ) ( y + x ) is :
|
of the families in city x in 1956 , 25 percent owned a personal computer . the number of families in city x owning a computer in 1960 was 15 percent greater than it was in 1956 , and the total number of families in city x was 5 percent greater in 1956 than it was in 1960 . what percent of the families in city x owned a personal computer in 1960 ?
|
[
{
"content": "of the families in city x in 1956 , 25 percent owned a personal computer . the number of families in city x owning a computer in 1960 was 15 percent greater than it was in 1956 , and the total number of families in city x was 5 percent greater in 1956 than it was in 1960 . what percent of the families in city x owned a personal computer in 1960 ?",
"role": "user"
},
{
"content": "In City X, what was the percentage of families who owned a personal computer in 1960",
"role": "assistant"
}
] |
In City X, what was the percentage of families who owned a personal computer in 1960
|
of the families in city x in 1956 , 25 percent owned a personal computer . the number of families in city x owning a computer in 1960 was 15 percent greater than it was in 1956 , and the total number of families in city x was 5 percent greater in 1956 than it was in 1960 . what percent of the families in city x owned a personal computer in 1960 ?
|
if the cost price is 91 % of sp then what is the profit %
|
[
{
"content": "if the cost price is 91 % of sp then what is the profit %",
"role": "user"
},
{
"content": "If the cost price is 91% of the selling price, what is the profit percentage?",
"role": "assistant"
}
] |
If the cost price is 91% of the selling price, what is the profit percentage?
|
if the cost price is 91 % of sp then what is the profit %
|
a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 24 , find the sum of money ?
|
[
{
"content": "a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 24 , find the sum of money ?",
"role": "user"
},
{
"content": "What is the total sum of money if A, B, and C share it in such a way that for every 1 rupee A gets, B gets 65 paisa and C gets 40 paisa, and C's share is 24 rupees?",
"role": "assistant"
}
] |
What is the total sum of money if A, B, and C share it in such a way that for every 1 rupee A gets, B gets 65 paisa and C gets 40 paisa, and C's share is 24 rupees?
|
a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 24 , find the sum of money ?
|
two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a girl sitting at window seat in the slower train in 32 seconds . find the length of the faster train ?
|
[
{
"content": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a girl sitting at window seat in the slower train in 32 seconds . find the length of the faster train ?",
"role": "user"
},
{
"content": "What is the length of the faster train when it passes a girl in the slower train in 32 seconds, given the speeds of the two trains are 72 km/h and 36 km/h in the same direction?",
"role": "assistant"
}
] |
What is the length of the faster train when it passes a girl in the slower train in 32 seconds, given the speeds of the two trains are 72 km/h and 36 km/h in the same direction?
|
two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a girl sitting at window seat in the slower train in 32 seconds . find the length of the faster train ?
|
tough and tricky questions : combinations . 8 contestants representing 4 different countries advance to the finals of a fencing championship . assuming all competitors have an equal chance of winning , how many possibilities are there with respect to how a first - place and second - place medal can be awarded ?
|
[
{
"content": "tough and tricky questions : combinations . 8 contestants representing 4 different countries advance to the finals of a fencing championship . assuming all competitors have an equal chance of winning , how many possibilities are there with respect to how a first - place and second - place medal can be awarded ?",
"role": "user"
},
{
"content": "In a fencing championship with 8 contestants from 4 countries, how many possible combinations are there for awarding the first and second place medals, given that all competitors have an equal chance of winning?",
"role": "assistant"
}
] |
In a fencing championship with 8 contestants from 4 countries, how many possible combinations are there for awarding the first and second place medals, given that all competitors have an equal chance of winning?
|
tough and tricky questions : combinations . 8 contestants representing 4 different countries advance to the finals of a fencing championship . assuming all competitors have an equal chance of winning , how many possibilities are there with respect to how a first - place and second - place medal can be awarded ?
|
a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 44000 . what is the share of c ?
|
[
{
"content": "a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 44000 . what is the share of c ?",
"role": "user"
},
{
"content": "What is c's portion of the rs. 44000 profit",
"role": "assistant"
}
] |
What is c's portion of the rs. 44000 profit
|
a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 44000 . what is the share of c ?
|
in a 400 member association consisting of men and women , exactly 20 % of men and exactly 25 % women are homeowners . what is the least number of members who are homeowners ?
|
[
{
"content": "in a 400 member association consisting of men and women , exactly 20 % of men and exactly 25 % women are homeowners . what is the least number of members who are homeowners ?",
"role": "user"
},
{
"content": "In an association of 400 people with both men and women, 20% of the men and 25% of the women own homes. What is the minimum number of homeowners in the association?",
"role": "assistant"
}
] |
In an association of 400 people with both men and women, 20% of the men and 25% of the women own homes. What is the minimum number of homeowners in the association?
|
in a 400 member association consisting of men and women , exactly 20 % of men and exactly 25 % women are homeowners . what is the least number of members who are homeowners ?
|
a sum of rs . 100 is lent at simple interest of 3 % p . a . for the first month , 9 % p . a . for the second month , 27 % p . a . for the third month and so on . what is the total amount of interest earned at the end of the year approximately
|
[
{
"content": "a sum of rs . 100 is lent at simple interest of 3 % p . a . for the first month , 9 % p . a . for the second month , 27 % p . a . for the third month and so on . what is the total amount of interest earned at the end of the year approximately",
"role": "user"
},
{
"content": "Approximately how much interest is earned at the end of the year if a sum of Rs. 100 is lent at a simple interest rate that triples each month, starting with 3% p.a. for the first month?",
"role": "assistant"
}
] |
Approximately how much interest is earned at the end of the year if a sum of Rs. 100 is lent at a simple interest rate that triples each month, starting with 3% p.a. for the first month?
|
a sum of rs . 100 is lent at simple interest of 3 % p . a . for the first month , 9 % p . a . for the second month , 27 % p . a . for the third month and so on . what is the total amount of interest earned at the end of the year approximately
|
suppose you have three identical prisms with congruent equilateral triangles as the end - polygons . suppose you attach them by the rectangular faces so they are perfectly aligned . there will be some large faces created by two or more co - planar faces of the individual prisms : count each such large face as one . given that , how many faces does the resultant solid have ?
|
[
{
"content": "suppose you have three identical prisms with congruent equilateral triangles as the end - polygons . suppose you attach them by the rectangular faces so they are perfectly aligned . there will be some large faces created by two or more co - planar faces of the individual prisms : count each such large face as one . given that , how many faces does the resultant solid have ?",
"role": "user"
},
{
"content": "If you connect three identical prisms with congruent equilateral triangles as end polygons by their rectangular faces so they're perfectly aligned, how many faces will the resulting solid have, counting each large face formed by two or more co-planar faces of the individual prisms as one?",
"role": "assistant"
}
] |
If you connect three identical prisms with congruent equilateral triangles as end polygons by their rectangular faces so they're perfectly aligned, how many faces will the resulting solid have, counting each large face formed by two or more co-planar faces of the individual prisms as one?
|
suppose you have three identical prisms with congruent equilateral triangles as the end - polygons . suppose you attach them by the rectangular faces so they are perfectly aligned . there will be some large faces created by two or more co - planar faces of the individual prisms : count each such large face as one . given that , how many faces does the resultant solid have ?
|
the side of a square has the length of 6 . what is the area of the region shaded ?
|
[
{
"content": "the side of a square has the length of 6 . what is the area of the region shaded ?",
"role": "user"
},
{
"content": "Given a square with a side length of 6, what is the area of the shaded region?",
"role": "assistant"
}
] |
Given a square with a side length of 6, what is the area of the shaded region?
|
the side of a square has the length of 6 . what is the area of the region shaded ?
|
how many positive integer solutions does the equation 4 x + 5 y = 100 have ?
|
[
{
"content": "how many positive integer solutions does the equation 4 x + 5 y = 100 have ?",
"role": "user"
},
{
"content": "What is the number of positive integer solutions to the equation 4x + 5y = 100 ?",
"role": "assistant"
}
] |
What is the number of positive integer solutions to the equation 4x + 5y = 100 ?
|
how many positive integer solutions does the equation 4 x + 5 y = 100 have ?
|
a man bought 10 crates of mangoes for $ 40 total . if he lost 2 of the crates , at what price would he have to sell each of the remaining crates in order to earn a total profit of 20 percent of the total cost ?
|
[
{
"content": "a man bought 10 crates of mangoes for $ 40 total . if he lost 2 of the crates , at what price would he have to sell each of the remaining crates in order to earn a total profit of 20 percent of the total cost ?",
"role": "user"
},
{
"content": "What price per crate must the man charge for the remaining 8 crates to make a 20% profit after losing 2 of the original 10 crates he bought for $40",
"role": "assistant"
}
] |
What price per crate must the man charge for the remaining 8 crates to make a 20% profit after losing 2 of the original 10 crates he bought for $40
|
a man bought 10 crates of mangoes for $ 40 total . if he lost 2 of the crates , at what price would he have to sell each of the remaining crates in order to earn a total profit of 20 percent of the total cost ?
|
a train passes a station platform in 32 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 32 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": "What is the platform's length, given a train passes the platform in 32 seconds, a man in 20 seconds, and the train's speed is 54 km/hr?",
"role": "assistant"
}
] |
What is the platform's length, given a train passes the platform in 32 seconds, a man in 20 seconds, and the train's speed is 54 km/hr?
|
a train passes a station platform in 32 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 ?
|
irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 170 cookies , what percent of the cookies did irin bake ?
|
[
{
"content": "irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 170 cookies , what percent of the cookies did irin bake ?",
"role": "user"
},
{
"content": "What percentage of the 170 cookies baked by irin, ingrid, and nell does irin account for, given their ratio of 9.18:5.17:2.05",
"role": "assistant"
}
] |
What percentage of the 170 cookies baked by irin, ingrid, and nell does irin account for, given their ratio of 9.18:5.17:2.05
|
irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 170 cookies , what percent of the cookies did irin bake ?
|
how many four - digit numbers that do not contain the digits 3 or 6 are there ?
|
[
{
"content": "how many four - digit numbers that do not contain the digits 3 or 6 are there ?",
"role": "user"
},
{
"content": "What is the number of four-digit numbers without the digits 3 or 6?",
"role": "assistant"
}
] |
What is the number of four-digit numbers without the digits 3 or 6?
|
how many four - digit numbers that do not contain the digits 3 or 6 are there ?
|
a number increased by 30 % gives 650 . the number is ?
|
[
{
"content": "a number increased by 30 % gives 650 . the number is ?",
"role": "user"
},
{
"content": "What is the original number that, when increased by 30%, equals 650?",
"role": "assistant"
}
] |
What is the original number that, when increased by 30%, equals 650?
|
a number increased by 30 % gives 650 . the number is ?
|
the positive numbers w , x , y , and z are such that x is 25 percent greater than y , y is 20 percent greater than z , and w is 20 percent less than x . what percent greater than z is w ?
|
[
{
"content": "the positive numbers w , x , y , and z are such that x is 25 percent greater than y , y is 20 percent greater than z , and w is 20 percent less than x . what percent greater than z is w ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text:\n\nThe positive numbers w, x, y, and z are such that x is 25 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What is the percentage by which w is greater than z?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text:
The positive numbers w, x, y, and z are such that x is 25 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What is the percentage by which w is greater than z?
|
the positive numbers w , x , y , and z are such that x is 25 percent greater than y , y is 20 percent greater than z , and w is 20 percent less than x . what percent greater than z is w ?
|
arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 20 days .
|
[
{
"content": "arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 20 days .",
"role": "user"
},
{
"content": "Arun and Tarun can complete a job in 10 days. After 4 days, Tarun leaves for his village. How many days will it take Arun to finish the remaining work alone, given that he can complete the entire job by himself in 20 days?",
"role": "assistant"
}
] |
Arun and Tarun can complete a job in 10 days. After 4 days, Tarun leaves for his village. How many days will it take Arun to finish the remaining work alone, given that he can complete the entire job by himself in 20 days?
|
arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 20 days .
|
if ' x ' is a positive integer exactly divisible by 6 or 15 but not divisible by 12 . what could possibly be the value of ' x ' ?
|
[
{
"content": "if ' x ' is a positive integer exactly divisible by 6 or 15 but not divisible by 12 . what could possibly be the value of ' x ' ?",
"role": "user"
},
{
"content": "What could be the value of 'x' if it's a positive integer divisible by 6 or 15, but not by 12?",
"role": "assistant"
}
] |
What could be the value of 'x' if it's a positive integer divisible by 6 or 15, but not by 12?
|
if ' x ' is a positive integer exactly divisible by 6 or 15 but not divisible by 12 . what could possibly be the value of ' x ' ?
|
if rs . 450 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ?
|
[
{
"content": "if rs . 450 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ?",
"role": "user"
},
{
"content": "What will be the amount after 6 years at the same annual rate if Rs. 450 becomes Rs. 540 in 4 years?",
"role": "assistant"
}
] |
What will be the amount after 6 years at the same annual rate if Rs. 450 becomes Rs. 540 in 4 years?
|
if rs . 450 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ?
|
on a sum of money , the simple interest for 2 years is rs . 324 , while the compound interest is rs . 340 , the rate of interest being the same in both the cases . the rate of interest is
|
[
{
"content": "on a sum of money , the simple interest for 2 years is rs . 324 , while the compound interest is rs . 340 , the rate of interest being the same in both the cases . the rate of interest is",
"role": "user"
},
{
"content": "On a sum of money, with simple interest of Rs. 324 and compound interest of Rs. 340 over 2 years at the same rate, what is the rate of interest?",
"role": "assistant"
}
] |
On a sum of money, with simple interest of Rs. 324 and compound interest of Rs. 340 over 2 years at the same rate, what is the rate of interest?
|
on a sum of money , the simple interest for 2 years is rs . 324 , while the compound interest is rs . 340 , the rate of interest being the same in both the cases . the rate of interest is
|
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 10 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ?
|
[
{
"content": "country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 10 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ?",
"role": "user"
},
{
"content": "What is the first tier's price level for a two-tiered tax on imported cars, where the first tier is 10% up to a certain price and the second tier is 8% on the amount above that, if Ron paid $1440 in taxes on a $14,000 car?",
"role": "assistant"
}
] |
What is the first tier's price level for a two-tiered tax on imported cars, where the first tier is 10% up to a certain price and the second tier is 8% on the amount above that, if Ron paid $1440 in taxes on a $14,000 car?
|
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 10 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ?
|
a taxi leaves point a 2 hours after a bus left the same spot . the bus is traveling 20 mph slower than the taxi . find the speed of the taxi , if it overtakes the bus in two hours .
|
[
{
"content": "a taxi leaves point a 2 hours after a bus left the same spot . the bus is traveling 20 mph slower than the taxi . find the speed of the taxi , if it overtakes the bus in two hours .",
"role": "user"
},
{
"content": "What is the speed of the taxi that overtakes a bus 2 hours after leaving the same point, given the bus is traveling 20 mph slower than the taxi and is overtaken in 2 hours",
"role": "assistant"
}
] |
What is the speed of the taxi that overtakes a bus 2 hours after leaving the same point, given the bus is traveling 20 mph slower than the taxi and is overtaken in 2 hours
|
a taxi leaves point a 2 hours after a bus left the same spot . the bus is traveling 20 mph slower than the taxi . find the speed of the taxi , if it overtakes the bus in two hours .
|
a man walking at a constant rate of 12 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 24 miles per hour . the woman stops to wait for the man 10 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ?
|
[
{
"content": "a man walking at a constant rate of 12 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 24 miles per hour . the woman stops to wait for the man 10 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ?",
"role": "user"
},
{
"content": "A man walks at a constant 12 mph, then a woman passes him, traveling in the same direction at 24 mph. She stops 10 minutes later, while he continues at his constant rate. How long will she wait for him to catch up?",
"role": "assistant"
}
] |
A man walks at a constant 12 mph, then a woman passes him, traveling in the same direction at 24 mph. She stops 10 minutes later, while he continues at his constant rate. How long will she wait for him to catch up?
|
a man walking at a constant rate of 12 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 24 miles per hour . the woman stops to wait for the man 10 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ?
|
if | 5 x - 5 | = 100 , then find the sum of the values of x ?
|
[
{
"content": "if | 5 x - 5 | = 100 , then find the sum of the values of x ?",
"role": "user"
},
{
"content": "What are the sum of the values of x if the absolute value of 5x minus 5 equals 100 ?",
"role": "assistant"
}
] |
What are the sum of the values of x if the absolute value of 5x minus 5 equals 100 ?
|
if | 5 x - 5 | = 100 , then find the sum of the values of x ?
|
a bag of potatoes weighs 39 lbs divided by half of its weight . how much does the bag of potatoes weight ?
|
[
{
"content": "a bag of potatoes weighs 39 lbs divided by half of its weight . how much does the bag of potatoes weight ?",
"role": "user"
},
{
"content": "What is the weight of the bag of potatoes that weighs 39 lbs divided by half of its weight?",
"role": "assistant"
}
] |
What is the weight of the bag of potatoes that weighs 39 lbs divided by half of its weight?
|
a bag of potatoes weighs 39 lbs divided by half of its weight . how much does the bag of potatoes weight ?
|
a person saved $ 50 in buying an item on sale . if he spent $ 500 for the item , approximately how much percent he saved in the transaction ?
|
[
{
"content": "a person saved $ 50 in buying an item on sale . if he spent $ 500 for the item , approximately how much percent he saved in the transaction ?",
"role": "user"
},
{
"content": "What percentage did the person save when he bought the item for $500 and saved $50?",
"role": "assistant"
}
] |
What percentage did the person save when he bought the item for $500 and saved $50?
|
a person saved $ 50 in buying an item on sale . if he spent $ 500 for the item , approximately how much percent he saved in the transaction ?
|
the difference between a number and its two - fifth is 510 . what is 20 % of that number ?
|
[
{
"content": "the difference between a number and its two - fifth is 510 . what is 20 % of that number ?",
"role": "user"
},
{
"content": "What is 20% of a number that is 510 more than two-fifths of itself?",
"role": "assistant"
}
] |
What is 20% of a number that is 510 more than two-fifths of itself?
|
the difference between a number and its two - fifth is 510 . what is 20 % of that number ?
|
monica planned her birthday party . she prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra . after the party , it turned out that one of the guests did n ' t come but every one of the guests that did come ate 6 muffins and 6 muffins remained . how many guests did monica plan on ?
|
[
{
"content": "monica planned her birthday party . she prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra . after the party , it turned out that one of the guests did n ' t come but every one of the guests that did come ate 6 muffins and 6 muffins remained . how many guests did monica plan on ?",
"role": "user"
},
{
"content": "How many guests did Monica plan on inviting to her birthday party?",
"role": "assistant"
}
] |
How many guests did Monica plan on inviting to her birthday party?
|
monica planned her birthday party . she prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra . after the party , it turned out that one of the guests did n ' t come but every one of the guests that did come ate 6 muffins and 6 muffins remained . how many guests did monica plan on ?
|
a boy rides his bicycle 10 km at an average speed of 12 km / hr and again travels 12 km at an average speed of 10 km / hr . his average speed for the entire trip is approximately ?
|
[
{
"content": "a boy rides his bicycle 10 km at an average speed of 12 km / hr and again travels 12 km at an average speed of 10 km / hr . his average speed for the entire trip is approximately ?",
"role": "user"
},
{
"content": "What is the approximate average speed of the boy for the entire trip after riding 10 km at 12 km/hr and then 12 km at 10 km/hr?",
"role": "assistant"
}
] |
What is the approximate average speed of the boy for the entire trip after riding 10 km at 12 km/hr and then 12 km at 10 km/hr?
|
a boy rides his bicycle 10 km at an average speed of 12 km / hr and again travels 12 km at an average speed of 10 km / hr . his average speed for the entire trip is approximately ?
|
if 3 ^ x = 2 , then 3 ^ ( 4 x + 3 ) =
|
[
{
"content": "if 3 ^ x = 2 , then 3 ^ ( 4 x + 3 ) =",
"role": "user"
},
{
"content": "If 3 ^ x = 2, then 3 ^ (4x + 3) = 2 ^ (4x + 3)",
"role": "assistant"
}
] |
If 3 ^ x = 2, then 3 ^ (4x + 3) = 2 ^ (4x + 3)
|
if 3 ^ x = 2 , then 3 ^ ( 4 x + 3 ) =
|
two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 360 meters , after what time will they meet at the starting point ?
|
[
{
"content": "two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 360 meters , after what time will they meet at the starting point ?",
"role": "user"
},
{
"content": "Two cyclists start from the same point on a circular track, but in opposite directions, with speeds of 7 m/s and 8 m/s; if the track's circumference is 360 meters, how long will it take them to meet back at the starting point?",
"role": "assistant"
}
] |
Two cyclists start from the same point on a circular track, but in opposite directions, with speeds of 7 m/s and 8 m/s; if the track's circumference is 360 meters, how long will it take them to meet back at the starting point?
|
two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 360 meters , after what time will they meet at the starting point ?
|
carol spends 1 / 3 of her savings on a stereo and 1 / 3 less than she spent on the stereo for a television . what fraction of her savings did she spend on the stereo and television ?
|
[
{
"content": "carol spends 1 / 3 of her savings on a stereo and 1 / 3 less than she spent on the stereo for a television . what fraction of her savings did she spend on the stereo and television ?",
"role": "user"
},
{
"content": "What fraction of her savings did Carol spend on the stereo and TV, if she spent 1/3 on the stereo and 1/3 less than that on the TV?",
"role": "assistant"
}
] |
What fraction of her savings did Carol spend on the stereo and TV, if she spent 1/3 on the stereo and 1/3 less than that on the TV?
|
carol spends 1 / 3 of her savings on a stereo and 1 / 3 less than she spent on the stereo for a television . what fraction of her savings did she spend on the stereo and television ?
|
positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 36 . what is the value of x ?
|
[
{
"content": "positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 36 . what is the value of x ?",
"role": "user"
},
{
"content": "What is the value of x if y is 50 percent of 50 percent of x and y percent of x equals 36 ?",
"role": "assistant"
}
] |
What is the value of x if y is 50 percent of 50 percent of x and y percent of x equals 36 ?
|
positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 36 . what is the value of x ?
|
a van takes 6 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?
|
[
{
"content": "a van takes 6 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?",
"role": "user"
},
{
"content": "What speed in km/h should be maintained to cover the same distance in 3/2 of the original time taken by a van that covers 540 km in 6 hours",
"role": "assistant"
}
] |
What speed in km/h should be maintained to cover the same distance in 3/2 of the original time taken by a van that covers 540 km in 6 hours
|
a van takes 6 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?
|
on a ranch , a rancher can place a loop of rope , called a lasso , once in every 3 throws around a cow ’ s neck . what is the probability that the rancher will be able to place a lasso around a cow ’ s neck at least once in 3 attempts ?
|
[
{
"content": "on a ranch , a rancher can place a loop of rope , called a lasso , once in every 3 throws around a cow ’ s neck . what is the probability that the rancher will be able to place a lasso around a cow ’ s neck at least once in 3 attempts ?",
"role": "user"
},
{
"content": "On a ranch, a rancher can place a lasso, or loop of rope, around a cow's neck once every 3 throws. What is the probability of the rancher successfully placing a lasso around a cow's neck at least once in 3 attempts?",
"role": "assistant"
}
] |
On a ranch, a rancher can place a lasso, or loop of rope, around a cow's neck once every 3 throws. What is the probability of the rancher successfully placing a lasso around a cow's neck at least once in 3 attempts?
|
on a ranch , a rancher can place a loop of rope , called a lasso , once in every 3 throws around a cow ’ s neck . what is the probability that the rancher will be able to place a lasso around a cow ’ s neck at least once in 3 attempts ?
|
if an object travels 90 feet in 2 seconds , what is the object ’ s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )
|
[
{
"content": "if an object travels 90 feet in 2 seconds , what is the object ’ s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )",
"role": "user"
},
{
"content": "What is the approximate speed of the object in miles per hour if it travels 90 feet in 2 seconds ?",
"role": "assistant"
}
] |
What is the approximate speed of the object in miles per hour if it travels 90 feet in 2 seconds ?
|
if an object travels 90 feet in 2 seconds , what is the object ’ s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )
|
a dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25 % . find his false weight age ?
|
[
{
"content": "a dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25 % . find his false weight age ?",
"role": "user"
},
{
"content": "What is the weight the dishonest dealer uses to gain a 25% profit while claiming to sell at cost price?",
"role": "assistant"
}
] |
What is the weight the dishonest dealer uses to gain a 25% profit while claiming to sell at cost price?
|
a dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25 % . find his false weight age ?
|
16.02 ã — 0.1 = ?
|
[
{
"content": "16.02 ã — 0.1 = ?",
"role": "user"
},
{
"content": "16.02 minus 0.1 equals what",
"role": "assistant"
}
] |
16.02 minus 0.1 equals what
|
16.02 ã — 0.1 = ?
|
the population of a village is 13400 . it increases annually at the rate of 21 % p . a . what will be its population after 2 years ?
|
[
{
"content": "the population of a village is 13400 . it increases annually at the rate of 21 % p . a . what will be its population after 2 years ?",
"role": "user"
},
{
"content": "What will the village's population be after a 21% annual increase for 2 years, starting from 13400?",
"role": "assistant"
}
] |
What will the village's population be after a 21% annual increase for 2 years, starting from 13400?
|
the population of a village is 13400 . it increases annually at the rate of 21 % p . a . what will be its population after 2 years ?
|
if the cost price is 90 % of sp then what is the profit %
|
[
{
"content": "if the cost price is 90 % of sp then what is the profit %",
"role": "user"
},
{
"content": "If the cost price is 90% of the selling price, what is the profit percentage?",
"role": "assistant"
}
] |
If the cost price is 90% of the selling price, what is the profit percentage?
|
if the cost price is 90 % of sp then what is the profit %
|
a box measuring 49 inches long by 21 inches wide by 14 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?
|
[
{
"content": "a box measuring 49 inches long by 21 inches wide by 14 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?",
"role": "user"
},
{
"content": "To fill the 49 x 21 x 14 inch box completely without any gaps, what is the minimum number of identical cubes required?",
"role": "assistant"
}
] |
To fill the 49 x 21 x 14 inch box completely without any gaps, what is the minimum number of identical cubes required?
|
a box measuring 49 inches long by 21 inches wide by 14 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?
|
a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 5,500 meters of fabric ?
|
[
{
"content": "a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 5,500 meters of fabric ?",
"role": "user"
},
{
"content": "For 5,500 meters of fabric, what is the total cost to the merchant, who receives a 5% discount on each meter after the first 2,000 and a 7% discount on each meter after the next 1,500, with the original price being $2 per meter?",
"role": "assistant"
}
] |
For 5,500 meters of fabric, what is the total cost to the merchant, who receives a 5% discount on each meter after the first 2,000 and a 7% discount on each meter after the next 1,500, with the original price being $2 per meter?
|
a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 5,500 meters of fabric ?
|
sonika deposited rs . 7000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?
|
[
{
"content": "sonika deposited rs . 7000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?",
"role": "user"
},
{
"content": "If the interest had been 2% higher, how much would Sonika have received?",
"role": "assistant"
}
] |
If the interest had been 2% higher, how much would Sonika have received?
|
sonika deposited rs . 7000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?
|
a ’ s speed is 20 / 13 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ?
|
[
{
"content": "a ’ s speed is 20 / 13 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ?",
"role": "user"
},
{
"content": "If a is 20/13 times faster than b, what distance advantage should b have at the start to make it a tie race?",
"role": "assistant"
}
] |
If a is 20/13 times faster than b, what distance advantage should b have at the start to make it a tie race?
|
a ’ s speed is 20 / 13 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ?
|
if 4 spiders make 3 webs in 9 days , then how many days are needed for 1 spider to make 1 web ?
|
[
{
"content": "if 4 spiders make 3 webs in 9 days , then how many days are needed for 1 spider to make 1 web ?",
"role": "user"
},
{
"content": "If 4 spiders can create 3 webs in 9 days, how long will it take 1 spider to create 1 web?",
"role": "assistant"
}
] |
If 4 spiders can create 3 webs in 9 days, how long will it take 1 spider to create 1 web?
|
if 4 spiders make 3 webs in 9 days , then how many days are needed for 1 spider to make 1 web ?
|
what is the largest number of 4 digits which is divisible by 15 , 25 , 40 and 75 ?
|
[
{
"content": "what is the largest number of 4 digits which is divisible by 15 , 25 , 40 and 75 ?",
"role": "user"
},
{
"content": "What is the largest four-digit number that is divisible by 15, 25, 40, and 75?",
"role": "assistant"
}
] |
What is the largest four-digit number that is divisible by 15, 25, 40, and 75?
|
what is the largest number of 4 digits which is divisible by 15 , 25 , 40 and 75 ?
|
what will be the cost of building a fence around a square plot with area equal to 64 sq ft , if the price per foot of building the fence is rs . 58 ?
|
[
{
"content": "what will be the cost of building a fence around a square plot with area equal to 64 sq ft , if the price per foot of building the fence is rs . 58 ?",
"role": "user"
},
{
"content": "What is the total cost of constructing a fence around a square plot of 64 sq ft, given a fencing cost of Rs. 58 per foot?",
"role": "assistant"
}
] |
What is the total cost of constructing a fence around a square plot of 64 sq ft, given a fencing cost of Rs. 58 per foot?
|
what will be the cost of building a fence around a square plot with area equal to 64 sq ft , if the price per foot of building the fence is rs . 58 ?
|
a 6 litre sol is 20 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ?
|
[
{
"content": "a 6 litre sol is 20 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ?",
"role": "user"
},
{
"content": "To make a 50% alcohol solution, how many liters of pure alcohol need to be added to a 6-liter solution that is currently 20% alcohol?",
"role": "assistant"
}
] |
To make a 50% alcohol solution, how many liters of pure alcohol need to be added to a 6-liter solution that is currently 20% alcohol?
|
a 6 litre sol is 20 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ?
|
if 45 % of z is 60 % of y and y is 75 % of x , what percent of x is z ?
|
[
{
"content": "if 45 % of z is 60 % of y and y is 75 % of x , what percent of x is z ?",
"role": "user"
},
{
"content": "What percentage of x is equal to z if 45% of z is equal to 60% of y and y is 75% of x?",
"role": "assistant"
}
] |
What percentage of x is equal to z if 45% of z is equal to 60% of y and y is 75% of x?
|
if 45 % of z is 60 % of y and y is 75 % of x , what percent of x is z ?
|
how many odd 3 - digit integers greater than 800 are there such that all their digits are different ?
|
[
{
"content": "how many odd 3 - digit integers greater than 800 are there such that all their digits are different ?",
"role": "user"
},
{
"content": "What is the number of odd 3-digit integers greater than 800 with all distinct digits ?",
"role": "assistant"
}
] |
What is the number of odd 3-digit integers greater than 800 with all distinct digits ?
|
how many odd 3 - digit integers greater than 800 are there such that all their digits are different ?
|
the ratio of spinsters to cats is 2 to 7 . if there are 40 more cats than spinsters , how many spinsters are there ?
|
[
{
"content": "the ratio of spinsters to cats is 2 to 7 . if there are 40 more cats than spinsters , how many spinsters are there ?",
"role": "user"
},
{
"content": "The ratio of spinsters to cats is 2:7. If the number of cats exceeds the number of spinsters by 40, how many spinsters are there?",
"role": "assistant"
}
] |
The ratio of spinsters to cats is 2:7. If the number of cats exceeds the number of spinsters by 40, how many spinsters are there?
|
the ratio of spinsters to cats is 2 to 7 . if there are 40 more cats than spinsters , how many spinsters are there ?
|
33 1 / 3 % of 240 ?
|
[
{
"content": "33 1 / 3 % of 240 ?",
"role": "user"
},
{
"content": "What is 33 1/3 percent of 240?",
"role": "assistant"
}
] |
What is 33 1/3 percent of 240?
|
33 1 / 3 % of 240 ?
|
tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 60 people bought tickets to the concert , what was the total revenue from ticket sales ?
|
[
{
"content": "tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 60 people bought tickets to the concert , what was the total revenue from ticket sales ?",
"role": "user"
},
{
"content": "What was the total revenue from ticket sales if 60 people purchased tickets to the concert, with the first 10 receiving a 40% discount and the next 20 a 15% discount, at $20 per ticket?",
"role": "assistant"
}
] |
What was the total revenue from ticket sales if 60 people purchased tickets to the concert, with the first 10 receiving a 40% discount and the next 20 a 15% discount, at $20 per ticket?
|
tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 60 people bought tickets to the concert , what was the total revenue from ticket sales ?
|
if x is a number such that x ^ 2 + 5 x - 6 = 0 and x ^ 2 - 5 x + 4 = 0 , then x =
|
[
{
"content": "if x is a number such that x ^ 2 + 5 x - 6 = 0 and x ^ 2 - 5 x + 4 = 0 , then x =",
"role": "user"
},
{
"content": "What is the value of x that satisfies both x^2 + 5x - 6 = 0 and x^2 - 5x + 4 = 0",
"role": "assistant"
}
] |
What is the value of x that satisfies both x^2 + 5x - 6 = 0 and x^2 - 5x + 4 = 0
|
if x is a number such that x ^ 2 + 5 x - 6 = 0 and x ^ 2 - 5 x + 4 = 0 , then x =
|
one pump drains one - half of a pond in 7 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ?
|
[
{
"content": "one pump drains one - half of a pond in 7 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ?",
"role": "user"
},
{
"content": "How long would the second pump take to drain the pond on its own?",
"role": "assistant"
}
] |
How long would the second pump take to drain the pond on its own?
|
one pump drains one - half of a pond in 7 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ?
|
what is the area of square field whose side of length 18 m ?
|
[
{
"content": "what is the area of square field whose side of length 18 m ?",
"role": "user"
},
{
"content": "What is the area of a square field with an 18m side length?",
"role": "assistant"
}
] |
What is the area of a square field with an 18m side length?
|
what is the area of square field whose side of length 18 m ?
|
how much is 80 % of 40 is greater than 4 / 5 of 30 ?
|
[
{
"content": "how much is 80 % of 40 is greater than 4 / 5 of 30 ?",
"role": "user"
},
{
"content": "What is the difference between 80% of 40 and four-fifths of 30?",
"role": "assistant"
}
] |
What is the difference between 80% of 40 and four-fifths of 30?
|
how much is 80 % of 40 is greater than 4 / 5 of 30 ?
|
how many unique positive odd integers less than 60 are equal to the product of a positive multiple of 5 and an odd number ?
|
[
{
"content": "how many unique positive odd integers less than 60 are equal to the product of a positive multiple of 5 and an odd number ?",
"role": "user"
},
{
"content": "What is the number of unique positive odd integers less than 60 that are equal to the product of a positive multiple of 5 and an odd number?",
"role": "assistant"
}
] |
What is the number of unique positive odd integers less than 60 that are equal to the product of a positive multiple of 5 and an odd number?
|
how many unique positive odd integers less than 60 are equal to the product of a positive multiple of 5 and an odd number ?
|
in a sports club with 30 members , 17 play badminton and 18 play tennis and 2 do not play either . how many members play both badminton and tennis ?
|
[
{
"content": "in a sports club with 30 members , 17 play badminton and 18 play tennis and 2 do not play either . how many members play both badminton and tennis ?",
"role": "user"
},
{
"content": "In a sports club with 30 members, 17 play badminton and 18 play tennis, with 2 not participating in either; what is the number of members who play both sports?",
"role": "assistant"
}
] |
In a sports club with 30 members, 17 play badminton and 18 play tennis, with 2 not participating in either; what is the number of members who play both sports?
|
in a sports club with 30 members , 17 play badminton and 18 play tennis and 2 do not play either . how many members play both badminton and tennis ?
|
a line that passes through ( – 3 , – 4 ) and ( 3 , k ) has a slope = k . what is the value of k ?
|
[
{
"content": "a line that passes through ( – 3 , – 4 ) and ( 3 , k ) has a slope = k . what is the value of k ?",
"role": "user"
},
{
"content": "What value of k will give a line with a slope of k passing through (–3, –4) and (3, k)?",
"role": "assistant"
}
] |
What value of k will give a line with a slope of k passing through (–3, –4) and (3, k)?
|
a line that passes through ( – 3 , – 4 ) and ( 3 , k ) has a slope = k . what is the value of k ?
|
the length of a train and that of a platform are equal . if with a speed of 90 kmph the train crosses the platform in one minute , then the length of the train in metres is
|
[
{
"content": "the length of a train and that of a platform are equal . if with a speed of 90 kmph the train crosses the platform in one minute , then the length of the train in metres is",
"role": "user"
},
{
"content": "Lengths of the train and platform are equal. If the train crosses the platform at 90 km/h in one minute, what is the length of the train in meters?",
"role": "assistant"
}
] |
Lengths of the train and platform are equal. If the train crosses the platform at 90 km/h in one minute, what is the length of the train in meters?
|
the length of a train and that of a platform are equal . if with a speed of 90 kmph the train crosses the platform in one minute , then the length of the train in metres is
|
a group of n students can be divided into equal groups of 4 with 2 student left over or equal groups of 5 with 2 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 2 student left over or equal groups of 5 with 2 students left over . what is the sum of the two smallest possible values of n ?",
"role": "user"
},
{
"content": "What is the sum of the two smallest possible values of n for a group of n students that can be divided into groups of 4 or 5 with 2 students left in each case.",
"role": "assistant"
}
] |
What is the sum of the two smallest possible values of n for a group of n students that can be divided into groups of 4 or 5 with 2 students left in each case.
|
a group of n students can be divided into equal groups of 4 with 2 student left over or equal groups of 5 with 2 students left over . what is the sum of the two smallest possible values of n ?
|
in a forest 140 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?
|
[
{
"content": "in a forest 140 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?",
"role": "user"
},
{
"content": "In a forest, 140 deer were caught, tagged with electronic markers, and then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, 5 were found to have been tagged with electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer left or entered the forest over the preceding week, what is the approximate number of deer in the forest?\n\nHere's the paraphrased text:\n\nIn a forest, 140 deer were caught and tagged with electronic markers before being released. A week later, 50 deer were captured in the same forest, with 5 of them found to have the electronic markers. Assuming the percentage of tagged deer in the second sample represents the percentage in the entire forest, and considering no deer entered or left the forest, what is the approximate deer population in the forest?",
"role": "assistant"
}
] |
In a forest, 140 deer were caught, tagged with electronic markers, and then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, 5 were found to have been tagged with electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
Here's the paraphrased text:
In a forest, 140 deer were caught and tagged with electronic markers before being released. A week later, 50 deer were captured in the same forest, with 5 of them found to have the electronic markers. Assuming the percentage of tagged deer in the second sample represents the percentage in the entire forest, and considering no deer entered or left the forest, what is the approximate deer population in the forest?
|
in a forest 140 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?
|
working at their respective constant rates , machine a makes 100 copies in 15 minutes and machine b makes 150 copies in 10 minutes . if these machines work simultaneously at their respective rates for 30 minutes , what is the total number of copies that they will produce ?
|
[
{
"content": "working at their respective constant rates , machine a makes 100 copies in 15 minutes and machine b makes 150 copies in 10 minutes . if these machines work simultaneously at their respective rates for 30 minutes , what is the total number of copies that they will produce ?",
"role": "user"
},
{
"content": "Operating at their constant rates, Machine A produces 100 copies in 15 minutes and Machine B produces 150 copies in 10 minutes. If they work together for 30 minutes at their respective rates, what is the combined total of copies they will make?",
"role": "assistant"
}
] |
Operating at their constant rates, Machine A produces 100 copies in 15 minutes and Machine B produces 150 copies in 10 minutes. If they work together for 30 minutes at their respective rates, what is the combined total of copies they will make?
|
working at their respective constant rates , machine a makes 100 copies in 15 minutes and machine b makes 150 copies in 10 minutes . if these machines work simultaneously at their respective rates for 30 minutes , what is the total number of copies that they will produce ?
|
the average age of 15 students of a class is 16 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years . the age of the 15 th student is ?
|
[
{
"content": "the average age of 15 students of a class is 16 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years . the age of the 15 th student is ?",
"role": "user"
},
{
"content": "What is the age of the 15th student, given the average age of 15 students is 16 years, 5 students average 14 years, and the other 9 students average 16 years?",
"role": "assistant"
}
] |
What is the age of the 15th student, given the average age of 15 students is 16 years, 5 students average 14 years, and the other 9 students average 16 years?
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the average age of 15 students of a class is 16 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years . the age of the 15 th student is ?
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