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company a imported 10,500 widgets made of either brass or aluminum . the widgets are painted blue , red or green . if 10 percent of the widgets are made of brass and of those 20 percent are painted red and 40 percent are painted blue how many brass widgets painted green were imported ?
|
[
{
"content": "company a imported 10,500 widgets made of either brass or aluminum . the widgets are painted blue , red or green . if 10 percent of the widgets are made of brass and of those 20 percent are painted red and 40 percent are painted blue how many brass widgets painted green were imported ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nCompany A imported 10,500 widgets made of either brass or aluminum. The widgets are painted blue, red, or green. If 10% of the widgets are brass, with 20% of those being red and 40% blue, how many of the brass widgets are green?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
Company A imported 10,500 widgets made of either brass or aluminum. The widgets are painted blue, red, or green. If 10% of the widgets are brass, with 20% of those being red and 40% blue, how many of the brass widgets are green?
|
company a imported 10,500 widgets made of either brass or aluminum . the widgets are painted blue , red or green . if 10 percent of the widgets are made of brass and of those 20 percent are painted red and 40 percent are painted blue how many brass widgets painted green were imported ?
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a train 250 m long passes a man , running at 10 km / hr in the same direction in which the train is going , in 20 seconds . the speed of the train is :
|
[
{
"content": "a train 250 m long passes a man , running at 10 km / hr in the same direction in which the train is going , in 20 seconds . the speed of the train is :",
"role": "user"
},
{
"content": "What is the speed of the train that overtakes a man running at 10 km/hr in the same direction in 20 seconds, given the train is 250 m long?",
"role": "assistant"
}
] |
What is the speed of the train that overtakes a man running at 10 km/hr in the same direction in 20 seconds, given the train is 250 m long?
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a train 250 m long passes a man , running at 10 km / hr in the same direction in which the train is going , in 20 seconds . the speed of the train is :
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you collect baseball cards . suppose you start out with 17 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ?
|
[
{
"content": "you collect baseball cards . suppose you start out with 17 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ?",
"role": "user"
},
{
"content": "You collect baseball cards and begin with 17. Maria takes half of one more than your total number of baseball cards. You give Peter 1 card. Paul triples your cards since his dad makes them. What's the final count of baseball cards you have?",
"role": "assistant"
}
] |
You collect baseball cards and begin with 17. Maria takes half of one more than your total number of baseball cards. You give Peter 1 card. Paul triples your cards since his dad makes them. What's the final count of baseball cards you have?
|
you collect baseball cards . suppose you start out with 17 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ?
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a bakery has 6 employees . it pays annual salaries of $ 19000 to each of 2 employees , $ 21000 to 1 employee , and $ 22000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ?
|
[
{
"content": "a bakery has 6 employees . it pays annual salaries of $ 19000 to each of 2 employees , $ 21000 to 1 employee , and $ 22000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ?",
"role": "user"
},
{
"content": "What is the closest number to the average annual salary of the employees at the bakery?",
"role": "assistant"
}
] |
What is the closest number to the average annual salary of the employees at the bakery?
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a bakery has 6 employees . it pays annual salaries of $ 19000 to each of 2 employees , $ 21000 to 1 employee , and $ 22000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ?
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if the charge of staying in a student youth hostel $ 18.00 / day for the first week , and $ 15.00 / day for each additional week , how much does it cost to stay for 23 days ?
|
[
{
"content": "if the charge of staying in a student youth hostel $ 18.00 / day for the first week , and $ 15.00 / day for each additional week , how much does it cost to stay for 23 days ?",
"role": "user"
},
{
"content": "What is the total cost of a 23-day stay in a student youth hostel, given the daily rates of $18 for the first week and $15 for each subsequent week?",
"role": "assistant"
}
] |
What is the total cost of a 23-day stay in a student youth hostel, given the daily rates of $18 for the first week and $15 for each subsequent week?
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if the charge of staying in a student youth hostel $ 18.00 / day for the first week , and $ 15.00 / day for each additional week , how much does it cost to stay for 23 days ?
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one side of a rectangular field is 15 m and one of its diagonals is 17 m . find the area of the field .
|
[
{
"content": "one side of a rectangular field is 15 m and one of its diagonals is 17 m . find the area of the field .",
"role": "user"
},
{
"content": "Given a rectangular field with one side measuring 15m and a diagonal of 17m, what is the area of the field?",
"role": "assistant"
}
] |
Given a rectangular field with one side measuring 15m and a diagonal of 17m, what is the area of the field?
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one side of a rectangular field is 15 m and one of its diagonals is 17 m . find the area of the field .
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a rainstorm increased the amount of water stored in state j reservoirs from 50 billion gallons to 75 billion gallons . if the storm increased the amount of water in the reservoirs to 37.5 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?
|
[
{
"content": "a rainstorm increased the amount of water stored in state j reservoirs from 50 billion gallons to 75 billion gallons . if the storm increased the amount of water in the reservoirs to 37.5 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?",
"role": "user"
},
{
"content": "To rephrase the given text while preserving its original structure and semantics:\n\nA rainstorm increased the amount of water stored in State J reservoirs from 50 billion gallons to 75 billion gallons. If the storm increased the amount of water in the reservoirs to 37.5 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity before the storm?\n\nHere's a paraphrased version:\n\nA rainstorm raised State J reservoirs' water storage from 50 billion gallons to 75 billion gallons. If the storm brought the reservoirs to 37.5 percent capacity, how many billion gallons short of total capacity were they before the storm?",
"role": "assistant"
}
] |
To rephrase the given text while preserving its original structure and semantics:
A rainstorm increased the amount of water stored in State J reservoirs from 50 billion gallons to 75 billion gallons. If the storm increased the amount of water in the reservoirs to 37.5 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity before the storm?
Here's a paraphrased version:
A rainstorm raised State J reservoirs' water storage from 50 billion gallons to 75 billion gallons. If the storm brought the reservoirs to 37.5 percent capacity, how many billion gallons short of total capacity were they before the storm?
|
a rainstorm increased the amount of water stored in state j reservoirs from 50 billion gallons to 75 billion gallons . if the storm increased the amount of water in the reservoirs to 37.5 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?
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a certain quantity is measured on two different scales , the t - scale and the s - scale , that are related linearly . measurements on the t - scale of 6 and 24 correspond to measurements on the s - scale of 30 and 60 , respectively . what measurement on the t - scale corresponds to a measurement of 100 on the s - scale ?
|
[
{
"content": "a certain quantity is measured on two different scales , the t - scale and the s - scale , that are related linearly . measurements on the t - scale of 6 and 24 correspond to measurements on the s - scale of 30 and 60 , respectively . what measurement on the t - scale corresponds to a measurement of 100 on the s - scale ?",
"role": "user"
},
{
"content": "What is the measurement on the t-scale that corresponds to an s-scale measurement of 100",
"role": "assistant"
}
] |
What is the measurement on the t-scale that corresponds to an s-scale measurement of 100
|
a certain quantity is measured on two different scales , the t - scale and the s - scale , that are related linearly . measurements on the t - scale of 6 and 24 correspond to measurements on the s - scale of 30 and 60 , respectively . what measurement on the t - scale corresponds to a measurement of 100 on the s - scale ?
|
the sum of two numbers is 184 . if one - third of the one exceeds one - seventh of the other by 8 , find the smaller number .
|
[
{
"content": "the sum of two numbers is 184 . if one - third of the one exceeds one - seventh of the other by 8 , find the smaller number .",
"role": "user"
},
{
"content": "Here is a paraphrased version of the given text, preserving its structure and semantics:\n\nThe sum of two numbers is 184. If one number's one-third is 8 more than the other number's one-seventh, what is the smaller number?",
"role": "assistant"
}
] |
Here is a paraphrased version of the given text, preserving its structure and semantics:
The sum of two numbers is 184. If one number's one-third is 8 more than the other number's one-seventh, what is the smaller number?
|
the sum of two numbers is 184 . if one - third of the one exceeds one - seventh of the other by 8 , find the smaller number .
|
the sum of the first 50 positive even integers is 2550 . what is the sum q of even integers from 102 to 200 inclusive ?
|
[
{
"content": "the sum of the first 50 positive even integers is 2550 . what is the sum q of even integers from 102 to 200 inclusive ?",
"role": "user"
},
{
"content": "What is the sum q of the even integers between 102 and 200, inclusive?",
"role": "assistant"
}
] |
What is the sum q of the even integers between 102 and 200, inclusive?
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the sum of the first 50 positive even integers is 2550 . what is the sum q of even integers from 102 to 200 inclusive ?
|
how many litres of pure acid are there in 15 litres of a 20 % solution
|
[
{
"content": "how many litres of pure acid are there in 15 litres of a 20 % solution",
"role": "user"
},
{
"content": "What is the amount of pure acid in 15 litres of a 20% acid solution?",
"role": "assistant"
}
] |
What is the amount of pure acid in 15 litres of a 20% acid solution?
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how many litres of pure acid are there in 15 litres of a 20 % solution
|
rs . 385 were divided among x , y , z in such a way that x had rs . 20 more than y and z had rs 15 more than x . how much was y ’ s share ?
|
[
{
"content": "rs . 385 were divided among x , y , z in such a way that x had rs . 20 more than y and z had rs 15 more than x . how much was y ’ s share ?",
"role": "user"
},
{
"content": "How much did y receive when Rs. 385 were divided among x, y, and z, with x receiving Rs. 20 more than y, and z receiving Rs. 15 more than x?",
"role": "assistant"
}
] |
How much did y receive when Rs. 385 were divided among x, y, and z, with x receiving Rs. 20 more than y, and z receiving Rs. 15 more than x?
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rs . 385 were divided among x , y , z in such a way that x had rs . 20 more than y and z had rs 15 more than x . how much was y ’ s share ?
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when n divided by 3 , the remainder is 2 . when n divided by 4 , the remainder is 1 what is the the remainder when divided by 16
|
[
{
"content": "when n divided by 3 , the remainder is 2 . when n divided by 4 , the remainder is 1 what is the the remainder when divided by 16",
"role": "user"
},
{
"content": "When n is divided by 3, the remainder is 2, and when n is divided by 4, the remainder is 1; what is the remainder when n is divided by 16?",
"role": "assistant"
}
] |
When n is divided by 3, the remainder is 2, and when n is divided by 4, the remainder is 1; what is the remainder when n is divided by 16?
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when n divided by 3 , the remainder is 2 . when n divided by 4 , the remainder is 1 what is the the remainder when divided by 16
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a group of men decided to do a work in 20 days , but 8 of them became absent . if the rest of the group did the work in 28 days , find the original number of men ?
|
[
{
"content": "a group of men decided to do a work in 20 days , but 8 of them became absent . if the rest of the group did the work in 28 days , find the original number of men ?",
"role": "user"
},
{
"content": "If a group of men initially planned to complete a job in 20 days but 8 members were absent, and the remaining men finished the work in 28 days, what was the original number of men in the group?",
"role": "assistant"
}
] |
If a group of men initially planned to complete a job in 20 days but 8 members were absent, and the remaining men finished the work in 28 days, what was the original number of men in the group?
|
a group of men decided to do a work in 20 days , but 8 of them became absent . if the rest of the group did the work in 28 days , find the original number of men ?
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three walls have wallpaper covering a combined area of 280 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 36 square meters . what is the area that is covered with three layers of wallpaper ?
|
[
{
"content": "three walls have wallpaper covering a combined area of 280 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 36 square meters . what is the area that is covered with three layers of wallpaper ?",
"role": "user"
},
{
"content": "To find the area covered with three layers of wallpaper, let's denote the area covered with three layers as x. Since the total area covered by the wallpaper is 280 square meters, and 180 square meters are covered by overlapping the wallpaper, the total area covered by exactly two layers is 36 square meters.\n\nWe know that the area covered with exactly two layers is 36 square meters, and the remaining area is covered with either one or three layers. Let's denote the area covered with one layer as y.\n\nThe total area covered with one layer is y, and the total area covered with three layers is x. Since the total area is 280 square meters, we can set up the equation:\n\ny + 36 + x = 280\n\nWe also know that the area covered with one layer plus the area covered with three layers is equal to the total area minus the area covered with exactly two layers, which is 180 square meters. So, we can set up another equation:\n\ny + x = 180 - 36\ny + x = 144\n\nNow we have two equations and two variables. Solving the second equation for y, we get:\n\ny = 144 - x\n\nSubstituting this expression for y into the first equation, we get:\n\n(144 - x) + 36 + x = 280\n\nCombine like terms:\n\n144 + 36 = 280\n\nSubtract 180 from both sides:\n\n0 = 100\n\nThis is a contradiction, which means that the given information is inconsistent. Therefore, there is no solution to the problem.\n\nHowever, if we assume that the problem statement is correct, and the area covered with three layers is a real number, we can try to find a solution.\n\nFrom the second equation, we have:\n\ny + x = 144\n\nSubtracting 36 from both sides gives:\n\ny + x - 36 = 108\n\nSince the area covered with exactly two layers is 36 square meters, we can set up the equation:\n\ny + 2x = 180\n\nSubtracting the equation y + x = 144 from this equation, we get:\n\nx = 36\n\nSo, the area covered with three layers of wallpaper is 36 square meters.\n\nANSWER: 36",
"role": "assistant"
}
] |
To find the area covered with three layers of wallpaper, let's denote the area covered with three layers as x. Since the total area covered by the wallpaper is 280 square meters, and 180 square meters are covered by overlapping the wallpaper, the total area covered by exactly two layers is 36 square meters.
We know that the area covered with exactly two layers is 36 square meters, and the remaining area is covered with either one or three layers. Let's denote the area covered with one layer as y.
The total area covered with one layer is y, and the total area covered with three layers is x. Since the total area is 280 square meters, we can set up the equation:
y + 36 + x = 280
We also know that the area covered with one layer plus the area covered with three layers is equal to the total area minus the area covered with exactly two layers, which is 180 square meters. So, we can set up another equation:
y + x = 180 - 36
y + x = 144
Now we have two equations and two variables. Solving the second equation for y, we get:
y = 144 - x
Substituting this expression for y into the first equation, we get:
(144 - x) + 36 + x = 280
Combine like terms:
144 + 36 = 280
Subtract 180 from both sides:
0 = 100
This is a contradiction, which means that the given information is inconsistent. Therefore, there is no solution to the problem.
However, if we assume that the problem statement is correct, and the area covered with three layers is a real number, we can try to find a solution.
From the second equation, we have:
y + x = 144
Subtracting 36 from both sides gives:
y + x - 36 = 108
Since the area covered with exactly two layers is 36 square meters, we can set up the equation:
y + 2x = 180
Subtracting the equation y + x = 144 from this equation, we get:
x = 36
So, the area covered with three layers of wallpaper is 36 square meters.
ANSWER: 36
|
three walls have wallpaper covering a combined area of 280 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 36 square meters . what is the area that is covered with three layers of wallpaper ?
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mr . x , a mathematician , defines a number as ' connected with 6 if it is divisible by 6 or if the sum of its digits is 6 , or if 6 is one of the digits of the number . other numbers are all ' not connected with 6 ' . as per this definition , the number of integers from 1 to 60 ( both inclusive ) which are not connected with 6 is
|
[
{
"content": "mr . x , a mathematician , defines a number as ' connected with 6 if it is divisible by 6 or if the sum of its digits is 6 , or if 6 is one of the digits of the number . other numbers are all ' not connected with 6 ' . as per this definition , the number of integers from 1 to 60 ( both inclusive ) which are not connected with 6 is",
"role": "user"
},
{
"content": "Mr. X, a mathematician, defines a number as 'connected with 6' if it is divisible by 6, or if the sum of its digits is 6, or if 6 is one of the digits of the number; all other numbers are 'not connected with 6'. How many integers from 1 to 60 (inclusive) are not connected with 6 according to this definition?",
"role": "assistant"
}
] |
Mr. X, a mathematician, defines a number as 'connected with 6' if it is divisible by 6, or if the sum of its digits is 6, or if 6 is one of the digits of the number; all other numbers are 'not connected with 6'. How many integers from 1 to 60 (inclusive) are not connected with 6 according to this definition?
|
mr . x , a mathematician , defines a number as ' connected with 6 if it is divisible by 6 or if the sum of its digits is 6 , or if 6 is one of the digits of the number . other numbers are all ' not connected with 6 ' . as per this definition , the number of integers from 1 to 60 ( both inclusive ) which are not connected with 6 is
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a camera lens filter kit containing 5 filters sells for $ 67.50 . if the filters are purchased individually , 2 of them are priced at $ 7.45 each , 2 at $ 10.05 each , 1 at $ 14.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ?
|
[
{
"content": "a camera lens filter kit containing 5 filters sells for $ 67.50 . if the filters are purchased individually , 2 of them are priced at $ 7.45 each , 2 at $ 10.05 each , 1 at $ 14.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ?",
"role": "user"
},
{
"content": "What percentage of the total price is saved when buying the kit instead of the 5 filters separately",
"role": "assistant"
}
] |
What percentage of the total price is saved when buying the kit instead of the 5 filters separately
|
a camera lens filter kit containing 5 filters sells for $ 67.50 . if the filters are purchased individually , 2 of them are priced at $ 7.45 each , 2 at $ 10.05 each , 1 at $ 14.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ?
|
the largest 4 digit number exactly divisible by 90 is ?
|
[
{
"content": "the largest 4 digit number exactly divisible by 90 is ?",
"role": "user"
},
{
"content": "What is the largest 4-digit number that can be divided by 90 without a remainder?",
"role": "assistant"
}
] |
What is the largest 4-digit number that can be divided by 90 without a remainder?
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the largest 4 digit number exactly divisible by 90 is ?
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if n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2 ^ k is a factor of n ? .
|
[
{
"content": "if n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2 ^ k is a factor of n ? .",
"role": "user"
},
{
"content": "What is the largest value of k for which 2^k divides the product of all integers from 1 to 20?",
"role": "assistant"
}
] |
What is the largest value of k for which 2^k divides the product of all integers from 1 to 20?
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if n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2 ^ k is a factor of n ? .
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a man performs 1 / 2 of the total journey by rail , 1 / 4 by bus and the remaining 4 km on foot . his total journey is
|
[
{
"content": "a man performs 1 / 2 of the total journey by rail , 1 / 4 by bus and the remaining 4 km on foot . his total journey is",
"role": "user"
},
{
"content": "A man travels half of the total distance by train, a quarter by bus, and the remaining 4 km on foot. What is his total journey",
"role": "assistant"
}
] |
A man travels half of the total distance by train, a quarter by bus, and the remaining 4 km on foot. What is his total journey
|
a man performs 1 / 2 of the total journey by rail , 1 / 4 by bus and the remaining 4 km on foot . his total journey is
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what is the probability that a two digit number selected at random is a multiple of 3 and not a multiple of 5 ?
|
[
{
"content": "what is the probability that a two digit number selected at random is a multiple of 3 and not a multiple of 5 ?",
"role": "user"
},
{
"content": "what is the probability of choosing a two-digit number at random that is divisible by 3 but not by 5 ?",
"role": "assistant"
}
] |
what is the probability of choosing a two-digit number at random that is divisible by 3 but not by 5 ?
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what is the probability that a two digit number selected at random is a multiple of 3 and not a multiple of 5 ?
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bhanu spends 30 % of his income on petrol on scooter 21 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?
|
[
{
"content": "bhanu spends 30 % of his income on petrol on scooter 21 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?",
"role": "user"
},
{
"content": "If Bhanu spends Rs. 300 on petrol, what is his house rent expenditure.",
"role": "assistant"
}
] |
If Bhanu spends Rs. 300 on petrol, what is his house rent expenditure.
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bhanu spends 30 % of his income on petrol on scooter 21 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?
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45 workers work 8 hours to dig a hole 30 meters deep . how many extra workers should be hired to dig another hole 35 meters deep by working for 6 hours ?
|
[
{
"content": "45 workers work 8 hours to dig a hole 30 meters deep . how many extra workers should be hired to dig another hole 35 meters deep by working for 6 hours ?",
"role": "user"
},
{
"content": "To dig a 35-meter hole in 6 hours, how many more workers are needed beyond the original 45 who dug a 30-meter hole in 8 hours?",
"role": "assistant"
}
] |
To dig a 35-meter hole in 6 hours, how many more workers are needed beyond the original 45 who dug a 30-meter hole in 8 hours?
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45 workers work 8 hours to dig a hole 30 meters deep . how many extra workers should be hired to dig another hole 35 meters deep by working for 6 hours ?
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one - third less than 25 % of 180 is equal to :
|
[
{
"content": "one - third less than 25 % of 180 is equal to :",
"role": "user"
},
{
"content": "One-third less than a quarter of 180 is equal to :",
"role": "assistant"
}
] |
One-third less than a quarter of 180 is equal to :
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one - third less than 25 % of 180 is equal to :
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if an object travels at 8 feet per second , how many feet does it travel in forty five minutes ?
|
[
{
"content": "if an object travels at 8 feet per second , how many feet does it travel in forty five minutes ?",
"role": "user"
},
{
"content": "If an object moves at 8 feet per second, what distance does it cover in 45 minutes?",
"role": "assistant"
}
] |
If an object moves at 8 feet per second, what distance does it cover in 45 minutes?
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if an object travels at 8 feet per second , how many feet does it travel in forty five minutes ?
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in arun ’ s opinion , his weight is greater than 65 kg but less than 72 kg . his brother doest not agree with arun and he thinks that arun ’ s weight is greater than 60 kg but less than 70 kg . his mother ’ s view is that his weight can not be greater than 68 kg . if all are them are correct in their estimation , what is the average of different probable weights of arun ?
|
[
{
"content": "in arun ’ s opinion , his weight is greater than 65 kg but less than 72 kg . his brother doest not agree with arun and he thinks that arun ’ s weight is greater than 60 kg but less than 70 kg . his mother ’ s view is that his weight can not be greater than 68 kg . if all are them are correct in their estimation , what is the average of different probable weights of arun ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text:\n\nAccording to Arun, his weight falls between 65 kg and 72 kg. However, his brother disagrees and estimates it to be between 60 kg and 70 kg. Their mother believes Arun's weight cannot exceed 68 kg. If all their estimates are correct, what is the average of Arun's possible weights?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text:
According to Arun, his weight falls between 65 kg and 72 kg. However, his brother disagrees and estimates it to be between 60 kg and 70 kg. Their mother believes Arun's weight cannot exceed 68 kg. If all their estimates are correct, what is the average of Arun's possible weights?
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in arun ’ s opinion , his weight is greater than 65 kg but less than 72 kg . his brother doest not agree with arun and he thinks that arun ’ s weight is greater than 60 kg but less than 70 kg . his mother ’ s view is that his weight can not be greater than 68 kg . if all are them are correct in their estimation , what is the average of different probable weights of arun ?
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there are 8 books on a shelf , of which 3 are paperbacks and 5 are hardbacks . how many possible selections of 4 books from this shelf include at least one paperback ?
|
[
{
"content": "there are 8 books on a shelf , of which 3 are paperbacks and 5 are hardbacks . how many possible selections of 4 books from this shelf include at least one paperback ?",
"role": "user"
},
{
"content": "What is the number of possible selections of 4 books from this shelf that include at least one paperback, given 8 books in total, with 3 paperbacks and 5 hardbacks.",
"role": "assistant"
}
] |
What is the number of possible selections of 4 books from this shelf that include at least one paperback, given 8 books in total, with 3 paperbacks and 5 hardbacks.
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there are 8 books on a shelf , of which 3 are paperbacks and 5 are hardbacks . how many possible selections of 4 books from this shelf include at least one paperback ?
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rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 500 . then his monthly salary is
|
[
{
"content": "rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 500 . then his monthly salary is",
"role": "user"
},
{
"content": "Rohan allocates 40% of his salary for food, 20% for rent, 10% for entertainment, and 10% for transportation. Given that he has Rs. 500 in savings at the end of the month, what is his monthly salary?",
"role": "assistant"
}
] |
Rohan allocates 40% of his salary for food, 20% for rent, 10% for entertainment, and 10% for transportation. Given that he has Rs. 500 in savings at the end of the month, what is his monthly salary?
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rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 500 . then his monthly salary is
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there are 418 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ?
|
[
{
"content": "there are 418 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ?",
"role": "user"
},
{
"content": "In a hospital with 418 doctors and nurses, what is the number of nurses if the doctor-to-nurse ratio is 8:11?",
"role": "assistant"
}
] |
In a hospital with 418 doctors and nurses, what is the number of nurses if the doctor-to-nurse ratio is 8:11?
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there are 418 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ?
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robert left from a pvt company . management hold his salary rs . 15000 / - for one month . earlier robert borrowed rs . 7280 / - from company . but robert forget that . after one month robert asked his salary and accountant gives rs . 18500 / - to him . what is the incentive amount given to robert ?
|
[
{
"content": "robert left from a pvt company . management hold his salary rs . 15000 / - for one month . earlier robert borrowed rs . 7280 / - from company . but robert forget that . after one month robert asked his salary and accountant gives rs . 18500 / - to him . what is the incentive amount given to robert ?",
"role": "user"
},
{
"content": "What is the incentive amount given to Robert?",
"role": "assistant"
}
] |
What is the incentive amount given to Robert?
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robert left from a pvt company . management hold his salary rs . 15000 / - for one month . earlier robert borrowed rs . 7280 / - from company . but robert forget that . after one month robert asked his salary and accountant gives rs . 18500 / - to him . what is the incentive amount given to robert ?
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what number has a 3 : 4 ratio to the number 400 ?
|
[
{
"content": "what number has a 3 : 4 ratio to the number 400 ?",
"role": "user"
},
{
"content": "What number is in a 3:4 proportion to 400?",
"role": "assistant"
}
] |
What number is in a 3:4 proportion to 400?
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what number has a 3 : 4 ratio to the number 400 ?
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the food in a camp lasts for 40 men for 20 days . if 10 more men join , how many days will the food last ?
|
[
{
"content": "the food in a camp lasts for 40 men for 20 days . if 10 more men join , how many days will the food last ?",
"role": "user"
},
{
"content": "With 10 additional men, how long will the camp's 40-man, 20-day food supply last?",
"role": "assistant"
}
] |
With 10 additional men, how long will the camp's 40-man, 20-day food supply last?
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the food in a camp lasts for 40 men for 20 days . if 10 more men join , how many days will the food last ?
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a trader bought a car at 30 % discount on its original price . he sold it at a 50 % 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 50 % 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 vehicle at 30% off the original price and then resold it at a 50% markup from the purchase price. What percentage profit did he make from the original price?",
"role": "assistant"
}
] |
A trader purchased a vehicle at 30% off the original price and then resold it at a 50% markup from the purchase price. What percentage profit did he make from the original price?
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a trader bought a car at 30 % discount on its original price . he sold it at a 50 % increase on the price he bought it . what percent of profit did he make on the original price ?
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how many cubes of 5 cm edge can be cut out of a cube of 20 cm edge
|
[
{
"content": "how many cubes of 5 cm edge can be cut out of a cube of 20 cm edge",
"role": "user"
},
{
"content": "To determine the number of 5 cm cubes that can be cut from a 20 cm cube, calculate the total volume of the large cube and divide it by the volume of the smaller cube.",
"role": "assistant"
}
] |
To determine the number of 5 cm cubes that can be cut from a 20 cm cube, calculate the total volume of the large cube and divide it by the volume of the smaller cube.
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how many cubes of 5 cm edge can be cut out of a cube of 20 cm edge
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in a weight - lifting competition , the total weight of joe ' s two lifts was 450 pounds . if twice the weight of his first lift was 300 pounds more than the weight of his second lift , what was the weight , in pounds , of his first lift ?
|
[
{
"content": "in a weight - lifting competition , the total weight of joe ' s two lifts was 450 pounds . if twice the weight of his first lift was 300 pounds more than the weight of his second lift , what was the weight , in pounds , of his first lift ?",
"role": "user"
},
{
"content": "In a weightlifting competition, Joe's two lifts combined weighed 450 pounds. If the first lift's weight doubled was 300 pounds more than the second lift's weight, what was the weight of the first lift in pounds?",
"role": "assistant"
}
] |
In a weightlifting competition, Joe's two lifts combined weighed 450 pounds. If the first lift's weight doubled was 300 pounds more than the second lift's weight, what was the weight of the first lift in pounds?
|
in a weight - lifting competition , the total weight of joe ' s two lifts was 450 pounds . if twice the weight of his first lift was 300 pounds more than the weight of his second lift , what was the weight , in pounds , of his first lift ?
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a particular library has 150 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 , 65 percent of books that were loaned out are returned and there are 108 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 150 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 , 65 percent of books that were loaned out are returned and there are 108 books in the special collection at that time , how many books of the special collection were loaned out during that month ?",
"role": "user"
},
{
"content": "A library has 150 books in a special collection, initially. These books can be borrowed through an inter-library program. If 65% of loaned books are returned and there are 108 books left by the end of the month, how many were loaned out that month?",
"role": "assistant"
}
] |
A library has 150 books in a special collection, initially. These books can be borrowed through an inter-library program. If 65% of loaned books are returned and there are 108 books left by the end of the month, how many were loaned out that month?
|
a particular library has 150 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 , 65 percent of books that were loaned out are returned and there are 108 books in the special collection at that time , how many books of the special collection were loaned out during that month ?
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ramu rides his bike at an average speed of 45 km / hr and reaches his desitination in 4 hours . somu covers the same distance in 6 hours . if ramu covered his journey at an average speed which was 9 km / hr less and somu covered his journey at an average speed which was 10 km / hr more , then the difference in their times taken to reach the destination would be ( in minutes ) .
|
[
{
"content": "ramu rides his bike at an average speed of 45 km / hr and reaches his desitination in 4 hours . somu covers the same distance in 6 hours . if ramu covered his journey at an average speed which was 9 km / hr less and somu covered his journey at an average speed which was 10 km / hr more , then the difference in their times taken to reach the destination would be ( in minutes ) .",
"role": "user"
},
{
"content": "If Ramu's average speed had been 9 km/hr less and Somu's average speed had been 10 km/hr more, what would be the difference in their travel times (in minutes)?",
"role": "assistant"
}
] |
If Ramu's average speed had been 9 km/hr less and Somu's average speed had been 10 km/hr more, what would be the difference in their travel times (in minutes)?
|
ramu rides his bike at an average speed of 45 km / hr and reaches his desitination in 4 hours . somu covers the same distance in 6 hours . if ramu covered his journey at an average speed which was 9 km / hr less and somu covered his journey at an average speed which was 10 km / hr more , then the difference in their times taken to reach the destination would be ( in minutes ) .
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if â € œ * â € is called â € œ + â € , â € œ / â € is called â € œ * â € , â € œ - â € is called â € œ / â € , â € œ + â € is called â € œ - â € . 240 * 80 / 60 + 40 / 10 = ?
|
[
{
"content": "if â € œ * â € is called â € œ + â € , â € œ / â € is called â € œ * â € , â € œ - â € is called â € œ / â € , â € œ + â € is called â € œ - â € . 240 * 80 / 60 + 40 / 10 = ?",
"role": "user"
},
{
"content": "If multiplication is addition, division is multiplication, subtraction is division, and addition is subtraction, what is 240 * 80 / 60 + 40 / 10?",
"role": "assistant"
}
] |
If multiplication is addition, division is multiplication, subtraction is division, and addition is subtraction, what is 240 * 80 / 60 + 40 / 10?
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if â € œ * â € is called â € œ + â € , â € œ / â € is called â € œ * â € , â € œ - â € is called â € œ / â € , â € œ + â € is called â € œ - â € . 240 * 80 / 60 + 40 / 10 = ?
|
elena purchased brand x pens for $ 5.00 apiece and brand y for $ 2.80 apiece . if elena purchased a total of 12 of these pens for $ 42.00 , how many brand x pens did she purchase ?
|
[
{
"content": "elena purchased brand x pens for $ 5.00 apiece and brand y for $ 2.80 apiece . if elena purchased a total of 12 of these pens for $ 42.00 , how many brand x pens did she purchase ?",
"role": "user"
},
{
"content": "How many Brand X pens did Elena buy if she bought 12 pens in total for $42, with Brand X costing $5 each and Brand Y costing $2.80 each?",
"role": "assistant"
}
] |
How many Brand X pens did Elena buy if she bought 12 pens in total for $42, with Brand X costing $5 each and Brand Y costing $2.80 each?
|
elena purchased brand x pens for $ 5.00 apiece and brand y for $ 2.80 apiece . if elena purchased a total of 12 of these pens for $ 42.00 , how many brand x pens did she purchase ?
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the l . c . m of two numbers is 48 . the numbers are in the ratio 2 : 3 . the sum of numbers is :
|
[
{
"content": "the l . c . m of two numbers is 48 . the numbers are in the ratio 2 : 3 . the sum of numbers is :",
"role": "user"
},
{
"content": "the least common multiple of two numbers is 48 . the numbers are in the ratio 2 : 3 . what is the sum of the numbers :",
"role": "assistant"
}
] |
the least common multiple of two numbers is 48 . the numbers are in the ratio 2 : 3 . what is the sum of the numbers :
|
the l . c . m of two numbers is 48 . the numbers are in the ratio 2 : 3 . the sum of numbers is :
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in order to fence a square manish fixed 48 poles . if the distance between two poles , is 2 metres then what will be the area of the square so formed ?
|
[
{
"content": "in order to fence a square manish fixed 48 poles . if the distance between two poles , is 2 metres then what will be the area of the square so formed ?",
"role": "user"
},
{
"content": "To enclose a square, Manish installed 48 poles. Given that the distance between two poles is 2 meters, what is the area of the resulting square?",
"role": "assistant"
}
] |
To enclose a square, Manish installed 48 poles. Given that the distance between two poles is 2 meters, what is the area of the resulting square?
|
in order to fence a square manish fixed 48 poles . if the distance between two poles , is 2 metres then what will be the area of the square so formed ?
|
find the area of a parallelogram with base 20 cm and height 10 cm ?
|
[
{
"content": "find the area of a parallelogram with base 20 cm and height 10 cm ?",
"role": "user"
},
{
"content": "What is the area of a parallelogram with a 20 cm base and a 10 cm height?",
"role": "assistant"
}
] |
What is the area of a parallelogram with a 20 cm base and a 10 cm height?
|
find the area of a parallelogram with base 20 cm and height 10 cm ?
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a certain drink of type a is prepared by mixing 4 parts milk with 3 parts fruit juice . another drink of type b is prepared by mixing 4 parts of fruit juice and 3 parts of milk . how many liters of fruit juice must be added to 84 liters of drink a to convert it to drink b ?
|
[
{
"content": "a certain drink of type a is prepared by mixing 4 parts milk with 3 parts fruit juice . another drink of type b is prepared by mixing 4 parts of fruit juice and 3 parts of milk . how many liters of fruit juice must be added to 84 liters of drink a to convert it to drink b ?",
"role": "user"
},
{
"content": "To convert drink A to drink B, how many liters of fruit juice must be added to 84 liters of drink A, given that drink A is a 4:3 milk-to-juice ratio and drink B is a 3:4 milk-to-juice ratio?",
"role": "assistant"
}
] |
To convert drink A to drink B, how many liters of fruit juice must be added to 84 liters of drink A, given that drink A is a 4:3 milk-to-juice ratio and drink B is a 3:4 milk-to-juice ratio?
|
a certain drink of type a is prepared by mixing 4 parts milk with 3 parts fruit juice . another drink of type b is prepared by mixing 4 parts of fruit juice and 3 parts of milk . how many liters of fruit juice must be added to 84 liters of drink a to convert it to drink b ?
|
which greatest possible length can be used to measure exactly 12 meter 65 cm , 15 meter 25 cm and 10 meter 65 cm
|
[
{
"content": "which greatest possible length can be used to measure exactly 12 meter 65 cm , 15 meter 25 cm and 10 meter 65 cm",
"role": "user"
},
{
"content": "What is the greatest possible length that can exactly measure 12m 65cm, 15m 25cm, and 10m 65cm?",
"role": "assistant"
}
] |
What is the greatest possible length that can exactly measure 12m 65cm, 15m 25cm, and 10m 65cm?
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which greatest possible length can be used to measure exactly 12 meter 65 cm , 15 meter 25 cm and 10 meter 65 cm
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in a certain game , each player scores either 2 points or 5 points . if n players score 2 points and m players score 5 points , and the total number of points scored is 50 , what is the least possible positive r difference between n and m ?
|
[
{
"content": "in a certain game , each player scores either 2 points or 5 points . if n players score 2 points and m players score 5 points , and the total number of points scored is 50 , what is the least possible positive r difference between n and m ?",
"role": "user"
},
{
"content": "In a certain game, players can score either 2 or 5 points. Given n players with 2 points and m players with 5 points, with a total of 50 points, what's the smallest positive difference between n and m?",
"role": "assistant"
}
] |
In a certain game, players can score either 2 or 5 points. Given n players with 2 points and m players with 5 points, with a total of 50 points, what's the smallest positive difference between n and m?
|
in a certain game , each player scores either 2 points or 5 points . if n players score 2 points and m players score 5 points , and the total number of points scored is 50 , what is the least possible positive r difference between n and m ?
|
in a school with 620 students , the average age of the boys is 12 years and that of the girls is 11 years . if the average age of the school is 11 years 9 months , then the number of girls in the school is
|
[
{
"content": "in a school with 620 students , the average age of the boys is 12 years and that of the girls is 11 years . if the average age of the school is 11 years 9 months , then the number of girls in the school is",
"role": "user"
},
{
"content": "In a school of 620 students, with boys averaging 12 years old and girls averaging 11 years old, how many girls are there if the overall school average age is 11 years and 9 months?",
"role": "assistant"
}
] |
In a school of 620 students, with boys averaging 12 years old and girls averaging 11 years old, how many girls are there if the overall school average age is 11 years and 9 months?
|
in a school with 620 students , the average age of the boys is 12 years and that of the girls is 11 years . if the average age of the school is 11 years 9 months , then the number of girls in the school is
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two trains are moving in opposite directions with speed of 60 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds
|
[
{
"content": "two trains are moving in opposite directions with speed of 60 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds",
"role": "user"
},
{
"content": "Two trains are traveling in opposite directions at speeds of 60 km/hr and 90 km/hr, with lengths of 1.10 km and 0.9 km, respectively. How many seconds does it take for the slower train to cross the faster train?",
"role": "assistant"
}
] |
Two trains are traveling in opposite directions at speeds of 60 km/hr and 90 km/hr, with lengths of 1.10 km and 0.9 km, respectively. How many seconds does it take for the slower train to cross the faster train?
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two trains are moving in opposite directions with speed of 60 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds
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the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 14 km / hr respectively . they will meet for the first time in ?
|
[
{
"content": "the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 14 km / hr respectively . they will meet for the first time in ?",
"role": "user"
},
{
"content": "At what time will Deepak and his wife first meet after they start walking in opposite directions from the same point on a 1000-meter jogging track at speeds of 20 km/hr and 14 km/hr respectively?",
"role": "assistant"
}
] |
At what time will Deepak and his wife first meet after they start walking in opposite directions from the same point on a 1000-meter jogging track at speeds of 20 km/hr and 14 km/hr respectively?
|
the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 14 km / hr respectively . they will meet for the first time in ?
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the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 90 and rs . 80 respectively . the sum is :
|
[
{
"content": "the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 90 and rs . 80 respectively . the sum is :",
"role": "user"
},
{
"content": "what is the principal amount if the simple interest and true discount on it for a given time and at a given rate are rs . 90 and rs . 80 respectively",
"role": "assistant"
}
] |
what is the principal amount if the simple interest and true discount on it for a given time and at a given rate are rs . 90 and rs . 80 respectively
|
the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 90 and rs . 80 respectively . the sum is :
|
find the l . c . m of 6 , 15 , 24 and 20 .
|
[
{
"content": "find the l . c . m of 6 , 15 , 24 and 20 .",
"role": "user"
},
{
"content": "What is the least common multiple of 6, 15, 24, and 20?",
"role": "assistant"
}
] |
What is the least common multiple of 6, 15, 24, and 20?
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find the l . c . m of 6 , 15 , 24 and 20 .
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if shreehari walks in the speed of 4.5 km / hr from his house , in what time will he reach his school which is 750 m long from his house ?
|
[
{
"content": "if shreehari walks in the speed of 4.5 km / hr from his house , in what time will he reach his school which is 750 m long from his house ?",
"role": "user"
},
{
"content": "How long will it take Shreehari to walk to school, which is 750 meters away, if he walks at a speed of 4.5 km/hr from home?",
"role": "assistant"
}
] |
How long will it take Shreehari to walk to school, which is 750 meters away, if he walks at a speed of 4.5 km/hr from home?
|
if shreehari walks in the speed of 4.5 km / hr from his house , in what time will he reach his school which is 750 m long from his house ?
|
if x is a number such that x ^ 2 + 2 x - 24 = 0 and x ^ 2 - 5 x + 4 = 0 , then x =
|
[
{
"content": "if x is a number such that x ^ 2 + 2 x - 24 = 0 and x ^ 2 - 5 x + 4 = 0 , then x =",
"role": "user"
},
{
"content": "If x is a number such that x ^ 2 + 2 x - 24 = 0 and x ^ 2 - 5 x + 4 = 0 , then x =",
"role": "assistant"
}
] |
If x is a number such that x ^ 2 + 2 x - 24 = 0 and x ^ 2 - 5 x + 4 = 0 , then x =
|
if x is a number such that x ^ 2 + 2 x - 24 = 0 and x ^ 2 - 5 x + 4 = 0 , then x =
|
a library has an average of 510 visitors on sunday and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is
|
[
{
"content": "a library has an average of 510 visitors on sunday and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is",
"role": "user"
},
{
"content": "In a 30-day month that starts on a Sunday, what's the average daily number of visitors to a library that gets 510 visitors on Sundays and 240 on other days?",
"role": "assistant"
}
] |
In a 30-day month that starts on a Sunday, what's the average daily number of visitors to a library that gets 510 visitors on Sundays and 240 on other days?
|
a library has an average of 510 visitors on sunday and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is
|
a horse chases a pony 8 hours after the pony runs . horse takes 12 hours to reach the pony . if the average speed of the horse is 320 kmph , what s the average speed of the pony ?
|
[
{
"content": "a horse chases a pony 8 hours after the pony runs . horse takes 12 hours to reach the pony . if the average speed of the horse is 320 kmph , what s the average speed of the pony ?",
"role": "user"
},
{
"content": "What is the pony's average speed if the horse's average speed is 320 kmph?",
"role": "assistant"
}
] |
What is the pony's average speed if the horse's average speed is 320 kmph?
|
a horse chases a pony 8 hours after the pony runs . horse takes 12 hours to reach the pony . if the average speed of the horse is 320 kmph , what s the average speed of the pony ?
|
a , b and c start a business each investing 10,000 . after 6 months a withdrew 5000 , b withdrew 4000 and c invests 6000 more . at the end of the year , a total profit of 34,200 was recorded . find the share of b .
|
[
{
"content": "a , b and c start a business each investing 10,000 . after 6 months a withdrew 5000 , b withdrew 4000 and c invests 6000 more . at the end of the year , a total profit of 34,200 was recorded . find the share of b .",
"role": "user"
},
{
"content": "What is b's share of the 34,200 profit",
"role": "assistant"
}
] |
What is b's share of the 34,200 profit
|
a , b and c start a business each investing 10,000 . after 6 months a withdrew 5000 , b withdrew 4000 and c invests 6000 more . at the end of the year , a total profit of 34,200 was recorded . find the share of b .
|
a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 50 $ for the meal . assuming that they will pay 10 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ?
|
[
{
"content": "a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 50 $ for the meal . assuming that they will pay 10 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ?",
"role": "user"
},
{
"content": "A business executive and client are paying for their meal with the executive's expense account. The company has a $50 limit on the meal. If they will pay 10% in sales tax and leave a 15% tip, what is the maximum cost of their food?",
"role": "assistant"
}
] |
A business executive and client are paying for their meal with the executive's expense account. The company has a $50 limit on the meal. If they will pay 10% in sales tax and leave a 15% tip, what is the maximum cost of their food?
|
a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 50 $ for the meal . assuming that they will pay 10 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ?
|
an aeroplane covers a certain distance at a speed of 300 kmph in 6 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of :
|
[
{
"content": "an aeroplane covers a certain distance at a speed of 300 kmph in 6 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of :",
"role": "user"
},
{
"content": "At what speed must an aeroplane travel to cover the same distance in 1 2 / 3 hours that it covered at 300 kmph in 6 hours ?",
"role": "assistant"
}
] |
At what speed must an aeroplane travel to cover the same distance in 1 2 / 3 hours that it covered at 300 kmph in 6 hours ?
|
an aeroplane covers a certain distance at a speed of 300 kmph in 6 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of :
|
what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 150 ?
|
[
{
"content": "what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 150 ?",
"role": "user"
},
{
"content": "What is the median of a sequence of consecutive integers when the sum of the nth term from the start and the nth term from the end equals 150?",
"role": "assistant"
}
] |
What is the median of a sequence of consecutive integers when the sum of the nth term from the start and the nth term from the end equals 150?
|
what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 150 ?
|
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 25 seconds . the ratio of their speeds is ?
|
[
{
"content": "two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 25 seconds . the ratio of their speeds is ?",
"role": "user"
},
{
"content": "What is the ratio of the speeds of two trains traveling in opposite directions, one crossing a man in 27 seconds and the other in 17 seconds, and taking 25 seconds to cross each other?",
"role": "assistant"
}
] |
What is the ratio of the speeds of two trains traveling in opposite directions, one crossing a man in 27 seconds and the other in 17 seconds, and taking 25 seconds to cross each other?
|
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 25 seconds . the ratio of their speeds is ?
|
a chemist mixes one liter of pure water with x liters of a 60 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ?
|
[
{
"content": "a chemist mixes one liter of pure water with x liters of a 60 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ?",
"role": "user"
},
{
"content": "To find the value of x, how many liters of a 60% salt solution must a chemist add to 1 liter of pure water to create a 15% salt solution?",
"role": "assistant"
}
] |
To find the value of x, how many liters of a 60% salt solution must a chemist add to 1 liter of pure water to create a 15% salt solution?
|
a chemist mixes one liter of pure water with x liters of a 60 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ?
|
a certain car uses one gallon of gasoline every 32 miles when it travels on highway , and one gallon of gasoline every 20 miles when it travels in the city . when a car travels 4 miles on highway and 4 additional miles in the city , it uses what percent more gasoline than if it travels 8 miles on the highway ?
|
[
{
"content": "a certain car uses one gallon of gasoline every 32 miles when it travels on highway , and one gallon of gasoline every 20 miles when it travels in the city . when a car travels 4 miles on highway and 4 additional miles in the city , it uses what percent more gasoline than if it travels 8 miles on the highway ?",
"role": "user"
},
{
"content": "What percentage more gasoline is consumed when a car travels 4 miles on the highway and 4 miles in the city, compared to traveling 8 miles on the highway?",
"role": "assistant"
}
] |
What percentage more gasoline is consumed when a car travels 4 miles on the highway and 4 miles in the city, compared to traveling 8 miles on the highway?
|
a certain car uses one gallon of gasoline every 32 miles when it travels on highway , and one gallon of gasoline every 20 miles when it travels in the city . when a car travels 4 miles on highway and 4 additional miles in the city , it uses what percent more gasoline than if it travels 8 miles on the highway ?
|
a retailer sold an appliance for $ 100 . if the retailer ' s gross profit on the appliance was 25 percent of the retailer ' s cost for the appliance , how many dollars was the retailer ' s gross profit ?
|
[
{
"content": "a retailer sold an appliance for $ 100 . if the retailer ' s gross profit on the appliance was 25 percent of the retailer ' s cost for the appliance , how many dollars was the retailer ' s gross profit ?",
"role": "user"
},
{
"content": "What was the retailer's gross profit in dollars if they sold an appliance for $100 and made a 25% profit on their cost?",
"role": "assistant"
}
] |
What was the retailer's gross profit in dollars if they sold an appliance for $100 and made a 25% profit on their cost?
|
a retailer sold an appliance for $ 100 . if the retailer ' s gross profit on the appliance was 25 percent of the retailer ' s cost for the appliance , how many dollars was the retailer ' s gross profit ?
|
24 oz of juice p and 25 oz of juice t are mixed to make smothies x and y . the ratio of p to t in smothie x is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie x ?
|
[
{
"content": "24 oz of juice p and 25 oz of juice t are mixed to make smothies x and y . the ratio of p to t in smothie x is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie x ?",
"role": "user"
},
{
"content": "What is the amount of juice p in smothie x",
"role": "assistant"
}
] |
What is the amount of juice p in smothie x
|
24 oz of juice p and 25 oz of juice t are mixed to make smothies x and y . the ratio of p to t in smothie x is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie x ?
|
if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 75 percent of the test takers answered the second question correctly , and 15 percent of the test takers answered neither question correctly , what percent answered both correctly ?
|
[
{
"content": "if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 75 percent of the test takers answered the second question correctly , and 15 percent of the test takers answered neither question correctly , what percent answered both correctly ?",
"role": "user"
},
{
"content": "What percentage of test takers answered both questions correctly on the math section of the GMAT exam if 85% answered the first question correctly, 75% answered the second question correctly, and 15% answered neither question correctly?",
"role": "assistant"
}
] |
What percentage of test takers answered both questions correctly on the math section of the GMAT exam if 85% answered the first question correctly, 75% answered the second question correctly, and 15% answered neither question correctly?
|
if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 75 percent of the test takers answered the second question correctly , and 15 percent of the test takers answered neither question correctly , what percent answered both correctly ?
|
the grade point average of one third of the classroom is 69 ; the grade point average of the rest is 60 . what is the grade point average of the whole class ?
|
[
{
"content": "the grade point average of one third of the classroom is 69 ; the grade point average of the rest is 60 . what is the grade point average of the whole class ?",
"role": "user"
},
{
"content": "If one third of the class has an average GPA of 69 and the rest have an average GPA of 60, what is the overall class GPA?",
"role": "assistant"
}
] |
If one third of the class has an average GPA of 69 and the rest have an average GPA of 60, what is the overall class GPA?
|
the grade point average of one third of the classroom is 69 ; the grade point average of the rest is 60 . what is the grade point average of the whole class ?
|
find the least number of complete years in which a sum of money put out at 25 % compound interest will be more than double of itself ?
|
[
{
"content": "find the least number of complete years in which a sum of money put out at 25 % compound interest will be more than double of itself ?",
"role": "user"
},
{
"content": "What is the minimum number of complete years required for an amount invested at 25% compound interest to more than double itself?",
"role": "assistant"
}
] |
What is the minimum number of complete years required for an amount invested at 25% compound interest to more than double itself?
|
find the least number of complete years in which a sum of money put out at 25 % compound interest will be more than double of itself ?
|
mrs . evans gave a test to her freshmen economics class , which has 29 students enrolled and 24 of them answered question 1 correctly . if 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ?
|
[
{
"content": "mrs . evans gave a test to her freshmen economics class , which has 29 students enrolled and 24 of them answered question 1 correctly . if 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ?",
"role": "user"
},
{
"content": "In Mrs. Evans' freshmen economics class of 29 students, with 24 correct answers to question 1 and 22 to question 2, and 5 students not taking the test, what is the number of students who answered both questions correctly?",
"role": "assistant"
}
] |
In Mrs. Evans' freshmen economics class of 29 students, with 24 correct answers to question 1 and 22 to question 2, and 5 students not taking the test, what is the number of students who answered both questions correctly?
|
mrs . evans gave a test to her freshmen economics class , which has 29 students enrolled and 24 of them answered question 1 correctly . if 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ?
|
7 m - 20 = 2 m , then m + 7 is equal to ?
|
[
{
"content": "7 m - 20 = 2 m , then m + 7 is equal to ?",
"role": "user"
},
{
"content": "If 7m - 20 = 2m, then what is m + 7?",
"role": "assistant"
}
] |
If 7m - 20 = 2m, then what is m + 7?
|
7 m - 20 = 2 m , then m + 7 is equal to ?
|
which is greater than 16
|
[
{
"content": "which is greater than 16",
"role": "user"
},
{
"content": "what is more than 16",
"role": "assistant"
}
] |
what is more than 16
|
which is greater than 16
|
the smallest value of n , for which 2 n + 1 is not a prime number is
|
[
{
"content": "the smallest value of n , for which 2 n + 1 is not a prime number is",
"role": "user"
},
{
"content": "What is the smallest n for which 2n + 1 is composite",
"role": "assistant"
}
] |
What is the smallest n for which 2n + 1 is composite
|
the smallest value of n , for which 2 n + 1 is not a prime number is
|
two 100 multiples of 7 are chosen at random , and 300 multiples of 8 are chosen at random . approximately what percentage of the 500 selected numbers are odd ?
|
[
{
"content": "two 100 multiples of 7 are chosen at random , and 300 multiples of 8 are chosen at random . approximately what percentage of the 500 selected numbers are odd ?",
"role": "user"
},
{
"content": "Roughly what percentage of the 500 chosen numbers are odd if two hundred multiples of 7 and three hundred multiples of 8 are chosen at random?",
"role": "assistant"
}
] |
Roughly what percentage of the 500 chosen numbers are odd if two hundred multiples of 7 and three hundred multiples of 8 are chosen at random?
|
two 100 multiples of 7 are chosen at random , and 300 multiples of 8 are chosen at random . approximately what percentage of the 500 selected numbers are odd ?
|
in traveling from a dormitory to a certain city , a student went 1 / 3 of the way by foot , 1 / 4 of the way by bus , and the remaining 5 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?
|
[
{
"content": "in traveling from a dormitory to a certain city , a student went 1 / 3 of the way by foot , 1 / 4 of the way by bus , and the remaining 5 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?",
"role": "user"
},
{
"content": "To find the distance from the dormitory to the city, we need to determine the total distance covered by the student. \n\nThe student covered 1/3 of the distance on foot and 1/4 of the distance by bus. To add these fractions, we need to find a common denominator, which is 12. \n\nSo, the student covered 4/12 of the distance on foot and 3/12 of the distance by bus. The remaining distance is 5/12, which is 5 kilometers.\n\nTo find the total distance, we can set up the equation:\n\n4/12x + 3/12x + 5 = x\n\nCombine like terms:\n\n7/12x + 5 = x\n\nSubtract 7/12x from both sides:\n\n5 = 5/12x\n\nMultiply both sides by 12:\n\n60 = 5x\n\nDivide both sides by 5:\n\n12 = x\n\nSo, the distance from the dormitory to the city is 12 kilometers.",
"role": "assistant"
}
] |
To find the distance from the dormitory to the city, we need to determine the total distance covered by the student.
The student covered 1/3 of the distance on foot and 1/4 of the distance by bus. To add these fractions, we need to find a common denominator, which is 12.
So, the student covered 4/12 of the distance on foot and 3/12 of the distance by bus. The remaining distance is 5/12, which is 5 kilometers.
To find the total distance, we can set up the equation:
4/12x + 3/12x + 5 = x
Combine like terms:
7/12x + 5 = x
Subtract 7/12x from both sides:
5 = 5/12x
Multiply both sides by 12:
60 = 5x
Divide both sides by 5:
12 = x
So, the distance from the dormitory to the city is 12 kilometers.
|
in traveling from a dormitory to a certain city , a student went 1 / 3 of the way by foot , 1 / 4 of the way by bus , and the remaining 5 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?
|
the sector of a circle has radius of 14 cm and central angle 108 o . find its perimeter ?
|
[
{
"content": "the sector of a circle has radius of 14 cm and central angle 108 o . find its perimeter ?",
"role": "user"
},
{
"content": "What is the perimeter of a sector with a 14 cm radius and a central angle of 108 degrees?",
"role": "assistant"
}
] |
What is the perimeter of a sector with a 14 cm radius and a central angle of 108 degrees?
|
the sector of a circle has radius of 14 cm and central angle 108 o . find its perimeter ?
|
tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 10 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ?
|
[
{
"content": "tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 10 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ?",
"role": "user"
},
{
"content": "To determine Tabby's average speed, you need to calculate the total distance covered and the total time taken for both events. \n\nFirst, let's assume the distance for the swimming event is x miles. Since Tabby swims at a speed of 1 mile per hour, the time taken for the swimming event is x hours.\n\nNext, let's assume the distance for the running event is y miles. Since Tabby runs at a speed of 10 miles per hour, the time taken for the running event is y/10 hours.\n\nThe total distance covered is x + y miles, and the total time taken is x + y/10 hours.\n\nThe average speed is the total distance divided by the total time:\n\nAverage speed = (x + y) / (x + y/10)\n\nTo find a specific answer, we need to know the distances for the swimming and running events.",
"role": "assistant"
}
] |
To determine Tabby's average speed, you need to calculate the total distance covered and the total time taken for both events.
First, let's assume the distance for the swimming event is x miles. Since Tabby swims at a speed of 1 mile per hour, the time taken for the swimming event is x hours.
Next, let's assume the distance for the running event is y miles. Since Tabby runs at a speed of 10 miles per hour, the time taken for the running event is y/10 hours.
The total distance covered is x + y miles, and the total time taken is x + y/10 hours.
The average speed is the total distance divided by the total time:
Average speed = (x + y) / (x + y/10)
To find a specific answer, we need to know the distances for the swimming and running events.
|
tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 10 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ?
|
j is 25 % less than p and 20 % less than t . t is x % less than p . what is the value of x ?
|
[
{
"content": "j is 25 % less than p and 20 % less than t . t is x % less than p . what is the value of x ?",
"role": "user"
},
{
"content": "What is the percentage by which t is less than p, given that j is 25% less than p and 20% less than t?",
"role": "assistant"
}
] |
What is the percentage by which t is less than p, given that j is 25% less than p and 20% less than t?
|
j is 25 % less than p and 20 % less than t . t is x % less than p . what is the value of x ?
|
denise is trying to open a safe whose combination she does not know . if the safe has 4000 possible combinations , and she can try 75 different possibilities , what is the probability that she does not pick the one correct combination .
|
[
{
"content": "denise is trying to open a safe whose combination she does not know . if the safe has 4000 possible combinations , and she can try 75 different possibilities , what is the probability that she does not pick the one correct combination .",
"role": "user"
},
{
"content": "What is the likelihood that Denise will not guess the correct combination out of 4000 possibilities if she only tries 75 different combinations",
"role": "assistant"
}
] |
What is the likelihood that Denise will not guess the correct combination out of 4000 possibilities if she only tries 75 different combinations
|
denise is trying to open a safe whose combination she does not know . if the safe has 4000 possible combinations , and she can try 75 different possibilities , what is the probability that she does not pick the one correct combination .
|
what percent is 36 paisa ' s of 12 rupees ?
|
[
{
"content": "what percent is 36 paisa ' s of 12 rupees ?",
"role": "user"
},
{
"content": "What percentage of 12 rupees is 36 paise?",
"role": "assistant"
}
] |
What percentage of 12 rupees is 36 paise?
|
what percent is 36 paisa ' s of 12 rupees ?
|
in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.33 , then how many q cents does a liter of kerosene cost ? [ one dollar has 100 cents . ]
|
[
{
"content": "in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.33 , then how many q cents does a liter of kerosene cost ? [ one dollar has 100 cents . ]",
"role": "user"
},
{
"content": "In a market, the price of a dozen eggs is equal to that of a pound of rice, and the price of a half-liter of kerosene is equal to that of 8 eggs. If a pound of rice costs $0.33, then what is the cost of a liter of kerosene in q cents?",
"role": "assistant"
}
] |
In a market, the price of a dozen eggs is equal to that of a pound of rice, and the price of a half-liter of kerosene is equal to that of 8 eggs. If a pound of rice costs $0.33, then what is the cost of a liter of kerosene in q cents?
|
in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.33 , then how many q cents does a liter of kerosene cost ? [ one dollar has 100 cents . ]
|
two spheres of their radios in the ratio 4 : 3 . find its volumes ratio ?
|
[
{
"content": "two spheres of their radios in the ratio 4 : 3 . find its volumes ratio ?",
"role": "user"
},
{
"content": "Spheres with radii in a 4:3 ratio, what is the ratio of their volumes?",
"role": "assistant"
}
] |
Spheres with radii in a 4:3 ratio, what is the ratio of their volumes?
|
two spheres of their radios in the ratio 4 : 3 . find its volumes ratio ?
|
a train which has 420 m long , is running 45 kmph . in what time will it cross a person moving at 9 kmph in same direction ?
|
[
{
"content": "a train which has 420 m long , is running 45 kmph . in what time will it cross a person moving at 9 kmph in same direction ?",
"role": "user"
},
{
"content": "A 420m long train traveling at 45kmph - how long will it take to pass a person moving at 9kmph in the same direction?",
"role": "assistant"
}
] |
A 420m long train traveling at 45kmph - how long will it take to pass a person moving at 9kmph in the same direction?
|
a train which has 420 m long , is running 45 kmph . in what time will it cross a person moving at 9 kmph in same direction ?
|
danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 1536 , what is the area of the side face of the box ?
|
[
{
"content": "danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 1536 , what is the area of the side face of the box ?",
"role": "user"
},
{
"content": "Given that Danny is sitting on a rectangular box, with the front face area being half the top face area and the top face area being 1.5 times the side face area, what is the side face area if the box's volume is 1536?",
"role": "assistant"
}
] |
Given that Danny is sitting on a rectangular box, with the front face area being half the top face area and the top face area being 1.5 times the side face area, what is the side face area if the box's volume is 1536?
|
danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 1536 , what is the area of the side face of the box ?
|
sum of the squares of 3 no . is 276 and the sum of their products taken two at a time is 150 . find the sum ?
|
[
{
"content": "sum of the squares of 3 no . is 276 and the sum of their products taken two at a time is 150 . find the sum ?",
"role": "user"
},
{
"content": "What is the sum of three numbers when the sum of their squares is 276 and the sum of their pairwise products is 150?",
"role": "assistant"
}
] |
What is the sum of three numbers when the sum of their squares is 276 and the sum of their pairwise products is 150?
|
sum of the squares of 3 no . is 276 and the sum of their products taken two at a time is 150 . find the sum ?
|
zachary is helping his younger brother , sterling , learn his multiplication tables . for every question that sterling answers correctly , zachary gives him 3 pieces of candy . for every question that sterling answers incorrectly , zachary takes away two pieces of candy . after 14 questions , if sterling had answered 2 more questions correctly , he would have earned 31 pieces of candy . how many of the 14 questions did zachary answer correctly ?
|
[
{
"content": "zachary is helping his younger brother , sterling , learn his multiplication tables . for every question that sterling answers correctly , zachary gives him 3 pieces of candy . for every question that sterling answers incorrectly , zachary takes away two pieces of candy . after 14 questions , if sterling had answered 2 more questions correctly , he would have earned 31 pieces of candy . how many of the 14 questions did zachary answer correctly ?",
"role": "user"
},
{
"content": "How many of the 14 questions did Sterling answer correctly?",
"role": "assistant"
}
] |
How many of the 14 questions did Sterling answer correctly?
|
zachary is helping his younger brother , sterling , learn his multiplication tables . for every question that sterling answers correctly , zachary gives him 3 pieces of candy . for every question that sterling answers incorrectly , zachary takes away two pieces of candy . after 14 questions , if sterling had answered 2 more questions correctly , he would have earned 31 pieces of candy . how many of the 14 questions did zachary answer correctly ?
|
bhaman travelled for 15 hours . he covered the first half of the distance at 40 kmph and remaining half of the distance at 10 kmph . find the distance travelled by bhaman ?
|
[
{
"content": "bhaman travelled for 15 hours . he covered the first half of the distance at 40 kmph and remaining half of the distance at 10 kmph . find the distance travelled by bhaman ?",
"role": "user"
},
{
"content": "How far did Bhaman travel if he covered the first half of the distance at 40 km/h and the second half at 10 km/h, taking 15 hours in total?",
"role": "assistant"
}
] |
How far did Bhaman travel if he covered the first half of the distance at 40 km/h and the second half at 10 km/h, taking 15 hours in total?
|
bhaman travelled for 15 hours . he covered the first half of the distance at 40 kmph and remaining half of the distance at 10 kmph . find the distance travelled by bhaman ?
|
in a survey of parents , exactly 7 / 8 of the mothers and 3 / 4 of the fathers held full - time jobs . if 40 percent of the parents surveyed were women , what percent of the parents did not hold full - time jobs ?
|
[
{
"content": "in a survey of parents , exactly 7 / 8 of the mothers and 3 / 4 of the fathers held full - time jobs . if 40 percent of the parents surveyed were women , what percent of the parents did not hold full - time jobs ?",
"role": "user"
},
{
"content": "If 40% of the parents surveyed were mothers, what percentage of parents were not employed full-time?",
"role": "assistant"
}
] |
If 40% of the parents surveyed were mothers, what percentage of parents were not employed full-time?
|
in a survey of parents , exactly 7 / 8 of the mothers and 3 / 4 of the fathers held full - time jobs . if 40 percent of the parents surveyed were women , what percent of the parents did not hold full - time jobs ?
|
three pipes of same capacity can fill a tank in 8 hours . if there are only two pipes of same capacity , the tank can be filled in .
|
[
{
"content": "three pipes of same capacity can fill a tank in 8 hours . if there are only two pipes of same capacity , the tank can be filled in .",
"role": "user"
},
{
"content": "If two pipes of the same capacity are used, how long will it take to fill the tank",
"role": "assistant"
}
] |
If two pipes of the same capacity are used, how long will it take to fill the tank
|
three pipes of same capacity can fill a tank in 8 hours . if there are only two pipes of same capacity , the tank can be filled in .
|
each factor of 220 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 55 ?
|
[
{
"content": "each factor of 220 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 55 ?",
"role": "user"
},
{
"content": "What's the probability of drawing a multiple of 55 from the jar containing the factors of 220, each on its own plastic ball?",
"role": "assistant"
}
] |
What's the probability of drawing a multiple of 55 from the jar containing the factors of 220, each on its own plastic ball?
|
each factor of 220 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 55 ?
|
john makes $ 40 a week from his job . he earns a raise andnow makes $ 70 a week . what is the % increase ?
|
[
{
"content": "john makes $ 40 a week from his job . he earns a raise andnow makes $ 70 a week . what is the % increase ?",
"role": "user"
},
{
"content": "What is the percentage increase in John's weekly earnings after his raise from $40 to $70?",
"role": "assistant"
}
] |
What is the percentage increase in John's weekly earnings after his raise from $40 to $70?
|
john makes $ 40 a week from his job . he earns a raise andnow makes $ 70 a week . what is the % increase ?
|
an association of mathematics teachers has 1,260 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 72 percent of the votes cast ?
|
[
{
"content": "an association of mathematics teachers has 1,260 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 72 percent of the votes cast ?",
"role": "user"
},
{
"content": "What percentage of the association's total membership voted for the winning candidate, who received 72% of the 525 votes cast out of 1,260 members?",
"role": "assistant"
}
] |
What percentage of the association's total membership voted for the winning candidate, who received 72% of the 525 votes cast out of 1,260 members?
|
an association of mathematics teachers has 1,260 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 72 percent of the votes cast ?
|
a grocer has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ?
|
[
{
"content": "a grocer has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ?",
"role": "user"
},
{
"content": "To achieve an average monthly sale of Rs. 6500 over 6 months, what amount of sales is needed in the sixth month, given the sales of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230, and Rs. 6562 for the first 5 months?",
"role": "assistant"
}
] |
To achieve an average monthly sale of Rs. 6500 over 6 months, what amount of sales is needed in the sixth month, given the sales of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230, and Rs. 6562 for the first 5 months?
|
a grocer has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ?
|
one half of a two digit number exceeds its one third by 4 . what is the sum of the digits of the number ?
|
[
{
"content": "one half of a two digit number exceeds its one third by 4 . what is the sum of the digits of the number ?",
"role": "user"
},
{
"content": "What is the sum of the digits of a two-digit number where half of the number is 4 more than one third of the number ?",
"role": "assistant"
}
] |
What is the sum of the digits of a two-digit number where half of the number is 4 more than one third of the number ?
|
one half of a two digit number exceeds its one third by 4 . what is the sum of the digits of the number ?
|
calculate the number of bricks , each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10 % of its volume is occupied by mortar ?
|
[
{
"content": "calculate the number of bricks , each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10 % of its volume is occupied by mortar ?",
"role": "user"
},
{
"content": "What is the number of bricks (25 cm x 15 cm x 8 cm) needed to build a 10 m x 4 cm x 6 m wall, considering 10% of its volume is taken up by mortar?",
"role": "assistant"
}
] |
What is the number of bricks (25 cm x 15 cm x 8 cm) needed to build a 10 m x 4 cm x 6 m wall, considering 10% of its volume is taken up by mortar?
|
calculate the number of bricks , each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10 % of its volume is occupied by mortar ?
|
if the side length of square b is three times that of square a , the area of square b is how many times the area of square a ?
|
[
{
"content": "if the side length of square b is three times that of square a , the area of square b is how many times the area of square a ?",
"role": "user"
},
{
"content": "What is the ratio of the area of square B to the area of square A if square B's side length is three times that of square A?",
"role": "assistant"
}
] |
What is the ratio of the area of square B to the area of square A if square B's side length is three times that of square A?
|
if the side length of square b is three times that of square a , the area of square b is how many times the area of square a ?
|
the lcm and hcf of two numbers are 8 and 48 respectively . if one of them is 24 , find the other ?
|
[
{
"content": "the lcm and hcf of two numbers are 8 and 48 respectively . if one of them is 24 , find the other ?",
"role": "user"
},
{
"content": "If the LCM and HCF of two numbers are 8 and 48, and one of the numbers is 24, what is the other number?",
"role": "assistant"
}
] |
If the LCM and HCF of two numbers are 8 and 48, and one of the numbers is 24, what is the other number?
|
the lcm and hcf of two numbers are 8 and 48 respectively . if one of them is 24 , find the other ?
|
one night a certain hotel rented 3 / 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 3 / 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": "On a particular evening , a certain hotel rented 3 / 5 of its rooms , including 2 / 3 of its air conditioned rooms . If 3 / 5 of the hotel 's rooms were air conditioned , what percentage of the unrented rooms were air conditioned ?",
"role": "assistant"
}
] |
On a particular evening , a certain hotel rented 3 / 5 of its rooms , including 2 / 3 of its air conditioned rooms . If 3 / 5 of the hotel 's rooms were air conditioned , what percentage of the unrented rooms were air conditioned ?
|
one night a certain hotel rented 3 / 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 ?
|
in what time will a train 180 m long cross an electric pole , it its speed be 144 km / hr ?
|
[
{
"content": "in what time will a train 180 m long cross an electric pole , it its speed be 144 km / hr ?",
"role": "user"
},
{
"content": "At what time will a 180m long train pass an electric pole if its speed is 144 km/hr?",
"role": "assistant"
}
] |
At what time will a 180m long train pass an electric pole if its speed is 144 km/hr?
|
in what time will a train 180 m long cross an electric pole , it its speed be 144 km / hr ?
|
how many 7 - digits number are palindromic numbers ? a palindromic number reads the same forward and backward , example 1234321 .
|
[
{
"content": "how many 7 - digits number are palindromic numbers ? a palindromic number reads the same forward and backward , example 1234321 .",
"role": "user"
},
{
"content": "What is the count of 7-digit numbers that are palindromes, where a palindrome is a number that reads the same forwards and backwards, such as 1234321.",
"role": "assistant"
}
] |
What is the count of 7-digit numbers that are palindromes, where a palindrome is a number that reads the same forwards and backwards, such as 1234321.
|
how many 7 - digits number are palindromic numbers ? a palindromic number reads the same forward and backward , example 1234321 .
|
the average monthly salary of 25 employees in an organisation is rs . 2500 . if the manager ' s salary is added , then the average salary increases by rs . 200 . what is the manager ' s monthly salary ?
|
[
{
"content": "the average monthly salary of 25 employees in an organisation is rs . 2500 . if the manager ' s salary is added , then the average salary increases by rs . 200 . what is the manager ' s monthly salary ?",
"role": "user"
},
{
"content": "What is the manager's monthly salary if adding it to the average monthly salary of 25 employees increases the average by Rs. 200 from Rs. 2500?",
"role": "assistant"
}
] |
What is the manager's monthly salary if adding it to the average monthly salary of 25 employees increases the average by Rs. 200 from Rs. 2500?
|
the average monthly salary of 25 employees in an organisation is rs . 2500 . if the manager ' s salary is added , then the average salary increases by rs . 200 . what is the manager ' s monthly salary ?
|
the sum of two consecutive number is 49 . which is the larger number ?
|
[
{
"content": "the sum of two consecutive number is 49 . which is the larger number ?",
"role": "user"
},
{
"content": "What is the larger of two consecutive numbers that add up to 49?",
"role": "assistant"
}
] |
What is the larger of two consecutive numbers that add up to 49?
|
the sum of two consecutive number is 49 . which is the larger number ?
|
we had $ 1400 left after spending 30 % of the money that we took for shopping . how much money did we start with ?
|
[
{
"content": "we had $ 1400 left after spending 30 % of the money that we took for shopping . how much money did we start with ?",
"role": "user"
},
{
"content": "What was the initial amount of money we took for shopping, given that we had $1400 remaining after spending 30% of it?",
"role": "assistant"
}
] |
What was the initial amount of money we took for shopping, given that we had $1400 remaining after spending 30% of it?
|
we had $ 1400 left after spending 30 % of the money that we took for shopping . how much money did we start with ?
|
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