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a rectangular grass field is 70 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ?
|
[
{
"content": "a rectangular grass field is 70 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ?",
"role": "user"
},
{
"content": "What is the area of the path surrounding the 70m x 55m rectangular grass field with a 2.5m wide path, and the total cost to construct it at Rs. 2 per square meter?",
"role": "assistant"
}
] |
What is the area of the path surrounding the 70m x 55m rectangular grass field with a 2.5m wide path, and the total cost to construct it at Rs. 2 per square meter?
|
a rectangular grass field is 70 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ?
|
calculate the area of a triangle , if the sides of are 39 cm , 36 cm and 15 cm , what is its area ?
|
[
{
"content": "calculate the area of a triangle , if the sides of are 39 cm , 36 cm and 15 cm , what is its area ?",
"role": "user"
},
{
"content": "Given a triangle with sides of 39 cm, 36 cm, and 15 cm, what is the area of the triangle?",
"role": "assistant"
}
] |
Given a triangle with sides of 39 cm, 36 cm, and 15 cm, what is the area of the triangle?
|
calculate the area of a triangle , if the sides of are 39 cm , 36 cm and 15 cm , what is its area ?
|
a man can row a distance of 5 km in 60 min with the help of the tide . the direction of the tide reverses with the same speed . now he travels a further 20 km in 20 hours . how much time he would have saved if the direction of tide has not changed ?
|
[
{
"content": "a man can row a distance of 5 km in 60 min with the help of the tide . the direction of the tide reverses with the same speed . now he travels a further 20 km in 20 hours . how much time he would have saved if the direction of tide has not changed ?",
"role": "user"
},
{
"content": "If the tide's direction hadn't changed, how much time would the man have saved after traveling an additional 20 km in 20 hours?",
"role": "assistant"
}
] |
If the tide's direction hadn't changed, how much time would the man have saved after traveling an additional 20 km in 20 hours?
|
a man can row a distance of 5 km in 60 min with the help of the tide . the direction of the tide reverses with the same speed . now he travels a further 20 km in 20 hours . how much time he would have saved if the direction of tide has not changed ?
|
one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill the tank in 36 minutes , then the slower pipe alone will be able to fill the tank in ?
|
[
{
"content": "one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill the tank in 36 minutes , then the slower pipe alone will be able to fill the tank in ?",
"role": "user"
},
{
"content": "How long will the slower pipe take to fill the tank alone if it takes 36 minutes for both pipes to fill the tank together, given that one pipe is three times faster than the other?",
"role": "assistant"
}
] |
How long will the slower pipe take to fill the tank alone if it takes 36 minutes for both pipes to fill the tank together, given that one pipe is three times faster than the other?
|
one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill the tank in 36 minutes , then the slower pipe alone will be able to fill the tank in ?
|
a man can do a job in 15 days . his father takes 20 days and his son finishes it in 15 days . how long will they take to complete the job if they all work together ?
|
[
{
"content": "a man can do a job in 15 days . his father takes 20 days and his son finishes it in 15 days . how long will they take to complete the job if they all work together ?",
"role": "user"
},
{
"content": "If the man, his father, and his son work together, how many days will it take to complete the job ?",
"role": "assistant"
}
] |
If the man, his father, and his son work together, how many days will it take to complete the job ?
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a man can do a job in 15 days . his father takes 20 days and his son finishes it in 15 days . how long will they take to complete the job if they all work together ?
|
how long does a train 250 meters long running at the rate of 72 km / hr take to cross a bridge 150 meters in length ?
|
[
{
"content": "how long does a train 250 meters long running at the rate of 72 km / hr take to cross a bridge 150 meters in length ?",
"role": "user"
},
{
"content": "What is the time taken by a 250-meter-long train traveling at 72 km/hr to cross a 150-meter bridge?",
"role": "assistant"
}
] |
What is the time taken by a 250-meter-long train traveling at 72 km/hr to cross a 150-meter bridge?
|
how long does a train 250 meters long running at the rate of 72 km / hr take to cross a bridge 150 meters in length ?
|
the price of commodity x increases by 45 cents every year , while the price of commodity y increases by 20 cents every year . in 2001 , the price of commodity x was $ 5.20 and the price of commodity y was $ 7.30 . in which year will the price of commodity x be 10 cents less than the price of commodity y ?
|
[
{
"content": "the price of commodity x increases by 45 cents every year , while the price of commodity y increases by 20 cents every year . in 2001 , the price of commodity x was $ 5.20 and the price of commodity y was $ 7.30 . in which year will the price of commodity x be 10 cents less than the price of commodity y ?",
"role": "user"
},
{
"content": "In what year will commodity x cost 10 cents less than commodity y, given that commodity x rises by 45 cents and commodity y by 20 cents annually, with initial prices of $5.20 and $7.30, respectively, in 2001?",
"role": "assistant"
}
] |
In what year will commodity x cost 10 cents less than commodity y, given that commodity x rises by 45 cents and commodity y by 20 cents annually, with initial prices of $5.20 and $7.30, respectively, in 2001?
|
the price of commodity x increases by 45 cents every year , while the price of commodity y increases by 20 cents every year . in 2001 , the price of commodity x was $ 5.20 and the price of commodity y was $ 7.30 . in which year will the price of commodity x be 10 cents less than the price of commodity y ?
|
if a wholesaler distributes items to several outlets ( a , b , c and d ) in the ratio of 1 / 12 : 1 / 13 : 1 / 15 : 1 / 2 , then find the total number of items the wholesaler distributes ?
|
[
{
"content": "if a wholesaler distributes items to several outlets ( a , b , c and d ) in the ratio of 1 / 12 : 1 / 13 : 1 / 15 : 1 / 2 , then find the total number of items the wholesaler distributes ?",
"role": "user"
},
{
"content": "What is the total number of items distributed by the wholesaler if the distribution ratio among outlets a, b, c, and d is 1/12 : 1/13 : 1/15 : 1/2?",
"role": "assistant"
}
] |
What is the total number of items distributed by the wholesaler if the distribution ratio among outlets a, b, c, and d is 1/12 : 1/13 : 1/15 : 1/2?
|
if a wholesaler distributes items to several outlets ( a , b , c and d ) in the ratio of 1 / 12 : 1 / 13 : 1 / 15 : 1 / 2 , then find the total number of items the wholesaler distributes ?
|
john makes $ 50 a week from his job . he earns a raise and now makes $ 60 a week . what is the % increase ?
|
[
{
"content": "john makes $ 50 a week from his job . he earns a raise and now makes $ 60 a week . what is the % increase ?",
"role": "user"
},
{
"content": "John's weekly earnings increase from $50 to $60 after a raise, what is the percentage increase ?",
"role": "assistant"
}
] |
John's weekly earnings increase from $50 to $60 after a raise, what is the percentage increase ?
|
john makes $ 50 a week from his job . he earns a raise and now makes $ 60 a week . what is the % increase ?
|
in the fifth grade at parkway elementary school there are 420 students . 312 students are boys and 250 students are playing soccer . 90 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?
|
[
{
"content": "in the fifth grade at parkway elementary school there are 420 students . 312 students are boys and 250 students are playing soccer . 90 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?",
"role": "user"
},
{
"content": "In the fifth grade at Parkway Elementary School, there are 420 students. 312 students are boys, and 250 students play soccer. 90% of the soccer players are boys. How many girls at Parkway are not playing soccer?",
"role": "assistant"
}
] |
In the fifth grade at Parkway Elementary School, there are 420 students. 312 students are boys, and 250 students play soccer. 90% of the soccer players are boys. How many girls at Parkway are not playing soccer?
|
in the fifth grade at parkway elementary school there are 420 students . 312 students are boys and 250 students are playing soccer . 90 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?
|
john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 14 , what was the price before the first discount ?
|
[
{
"content": "john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 14 , what was the price before the first discount ?",
"role": "user"
},
{
"content": "What was the original price of the shirt before the two 25% discounts that resulted in a $14 final price?",
"role": "assistant"
}
] |
What was the original price of the shirt before the two 25% discounts that resulted in a $14 final price?
|
john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 14 , what was the price before the first discount ?
|
the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 1690 . the perimeter of the plot is ?
|
[
{
"content": "the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 1690 . the perimeter of the plot is ?",
"role": "user"
},
{
"content": "What is the perimeter of the rectangular plot, given that its length is 10 meters more than its width and the cost of fencing it at Rs. 6.5 per meter is Rs. 1690?",
"role": "assistant"
}
] |
What is the perimeter of the rectangular plot, given that its length is 10 meters more than its width and the cost of fencing it at Rs. 6.5 per meter is Rs. 1690?
|
the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 1690 . the perimeter of the plot is ?
|
the average weight of 4 person ' s increases by 1.5 kg when a new person comes in place of one of them weighing 95 kg . what might be the weight of the new person ?
|
[
{
"content": "the average weight of 4 person ' s increases by 1.5 kg when a new person comes in place of one of them weighing 95 kg . what might be the weight of the new person ?",
"role": "user"
},
{
"content": "What is the weight of the new person if the average weight of 4 people increases by 1.5 kg when one of them, weighing 95 kg, is replaced?",
"role": "assistant"
}
] |
What is the weight of the new person if the average weight of 4 people increases by 1.5 kg when one of them, weighing 95 kg, is replaced?
|
the average weight of 4 person ' s increases by 1.5 kg when a new person comes in place of one of them weighing 95 kg . what might be the weight of the new person ?
|
each of the three people individually can complete a certain job in 3 , 5 , and 6 hours , respectively . what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ?
|
[
{
"content": "each of the three people individually can complete a certain job in 3 , 5 , and 6 hours , respectively . what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nWhat is the minimum fraction of the job that can be completed in 1 hour when 2 of the 3 individuals, who can each complete the job in 3, 5, and 6 hours respectively, work together at their individual rates?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
What is the minimum fraction of the job that can be completed in 1 hour when 2 of the 3 individuals, who can each complete the job in 3, 5, and 6 hours respectively, work together at their individual rates?
|
each of the three people individually can complete a certain job in 3 , 5 , and 6 hours , respectively . what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ?
|
the average of 5 consecutive odd numbers a , b , c , d and e is 33 . what percent of a is d ?
|
[
{
"content": "the average of 5 consecutive odd numbers a , b , c , d and e is 33 . what percent of a is d ?",
"role": "user"
},
{
"content": "What percentage of a is d if the average of 5 consecutive odd numbers a, b, c, d, and e is 33?",
"role": "assistant"
}
] |
What percentage of a is d if the average of 5 consecutive odd numbers a, b, c, d, and e is 33?
|
the average of 5 consecutive odd numbers a , b , c , d and e is 33 . what percent of a is d ?
|
find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 30 cm ?
|
[
{
"content": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 30 cm ?",
"role": "user"
},
{
"content": "What is the area of the trapezium with parallel sides of 20 cm and 18 cm, and a height of 30 cm ?",
"role": "assistant"
}
] |
What is the area of the trapezium with parallel sides of 20 cm and 18 cm, and a height of 30 cm ?
|
find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 30 cm ?
|
daniel went to a shop and bought things worth rs . 25 , out of which 60 paise went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?
|
[
{
"content": "daniel went to a shop and bought things worth rs . 25 , out of which 60 paise went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?",
"role": "user"
},
{
"content": "What was the cost of the tax-free items if Daniel spent Rs. 25 at a store, 60 paise of which went towards sales tax at a 6% tax rate?",
"role": "assistant"
}
] |
What was the cost of the tax-free items if Daniel spent Rs. 25 at a store, 60 paise of which went towards sales tax at a 6% tax rate?
|
daniel went to a shop and bought things worth rs . 25 , out of which 60 paise went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?
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the volumes of two cubes are in the ratio 27 : 125 , what shall be the ratio of their surface areas ?
|
[
{
"content": "the volumes of two cubes are in the ratio 27 : 125 , what shall be the ratio of their surface areas ?",
"role": "user"
},
{
"content": "What will be the ratio of the surface areas of the two cubes if their volumes are in a 27 : 125 ratio ?",
"role": "assistant"
}
] |
What will be the ratio of the surface areas of the two cubes if their volumes are in a 27 : 125 ratio ?
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the volumes of two cubes are in the ratio 27 : 125 , what shall be the ratio of their surface areas ?
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when positive integer n is divided by positive integer j , the remainder is 15 . if n / j = 134.08 , what is value of j ?
|
[
{
"content": "when positive integer n is divided by positive integer j , the remainder is 15 . if n / j = 134.08 , what is value of j ?",
"role": "user"
},
{
"content": "If a positive integer n divided by a positive integer j gives a remainder of 15 and the quotient is 134.08, what is the value of j?",
"role": "assistant"
}
] |
If a positive integer n divided by a positive integer j gives a remainder of 15 and the quotient is 134.08, what is the value of j?
|
when positive integer n is divided by positive integer j , the remainder is 15 . if n / j = 134.08 , what is value of j ?
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bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is - .
|
[
{
"content": "bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is - .",
"role": "user"
},
{
"content": "What is the probability that two balls drawn simultaneously from a bag containing 7 green and 8 white balls are of the same color?",
"role": "assistant"
}
] |
What is the probability that two balls drawn simultaneously from a bag containing 7 green and 8 white balls are of the same color?
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bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is - .
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two trains of equal length , running with the speeds of 60 and 40 kmph , take 75 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?
|
[
{
"content": "two trains of equal length , running with the speeds of 60 and 40 kmph , take 75 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?",
"role": "user"
},
{
"content": "When two trains of equal length travel at 60 km/h and 40 km/h and take 75 seconds to pass each other in the same direction, how long will it take them to pass each other in opposite directions?",
"role": "assistant"
}
] |
When two trains of equal length travel at 60 km/h and 40 km/h and take 75 seconds to pass each other in the same direction, how long will it take them to pass each other in opposite directions?
|
two trains of equal length , running with the speeds of 60 and 40 kmph , take 75 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?
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a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 11,900 sedans in anytown , how many motorcycles are there ?
|
[
{
"content": "a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 11,900 sedans in anytown , how many motorcycles are there ?",
"role": "user"
},
{
"content": "In Anytown, if a marketing survey found a vehicle ratio of 3 trucks : 7 sedans : 2 motorcycles and there are 11,900 sedans, what is the number of motorcycles?",
"role": "assistant"
}
] |
In Anytown, if a marketing survey found a vehicle ratio of 3 trucks : 7 sedans : 2 motorcycles and there are 11,900 sedans, what is the number of motorcycles?
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a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 11,900 sedans in anytown , how many motorcycles are there ?
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how many figures are required to number the pages the pages of a book containing 223 pages ?
|
[
{
"content": "how many figures are required to number the pages the pages of a book containing 223 pages ?",
"role": "user"
},
{
"content": "How many digits are needed to number the pages of a 223-page book?",
"role": "assistant"
}
] |
How many digits are needed to number the pages of a 223-page book?
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how many figures are required to number the pages the pages of a book containing 223 pages ?
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if 40 % of a certain number is 160 , then what is 90 % of that number ?
|
[
{
"content": "if 40 % of a certain number is 160 , then what is 90 % of that number ?",
"role": "user"
},
{
"content": "What is 90% of the number if 40% of it equals 160?",
"role": "assistant"
}
] |
What is 90% of the number if 40% of it equals 160?
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if 40 % of a certain number is 160 , then what is 90 % of that number ?
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if x / y = 8 / 7 , then ( 7 x + 6 y ) / ( 7 x â € “ 6 y ) = ?
|
[
{
"content": "if x / y = 8 / 7 , then ( 7 x + 6 y ) / ( 7 x â € “ 6 y ) = ?",
"role": "user"
},
{
"content": "If x divided by y equals 8 divided by 7, then what is (7 times x plus 6 times y) divided by (7 times x minus 6 times y)?",
"role": "assistant"
}
] |
If x divided by y equals 8 divided by 7, then what is (7 times x plus 6 times y) divided by (7 times x minus 6 times y)?
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if x / y = 8 / 7 , then ( 7 x + 6 y ) / ( 7 x â € “ 6 y ) = ?
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subtracting 30 from a number , the remainder is one fourth of the number . find the number ?
|
[
{
"content": "subtracting 30 from a number , the remainder is one fourth of the number . find the number ?",
"role": "user"
},
{
"content": "If a number is reduced by 30, the result is one quarter of the number; what is the number?",
"role": "assistant"
}
] |
If a number is reduced by 30, the result is one quarter of the number; what is the number?
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subtracting 30 from a number , the remainder is one fourth of the number . find the number ?
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the sum of three consecutive multiples of 3 is 108 . what is the largest number ?
|
[
{
"content": "the sum of three consecutive multiples of 3 is 108 . what is the largest number ?",
"role": "user"
},
{
"content": "What is the largest of three consecutive multiples of 3 that sum to 108 ?",
"role": "assistant"
}
] |
What is the largest of three consecutive multiples of 3 that sum to 108 ?
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the sum of three consecutive multiples of 3 is 108 . what is the largest number ?
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the sum of four consecutive even integers is 1284 . the greatest of them is :
|
[
{
"content": "the sum of four consecutive even integers is 1284 . the greatest of them is :",
"role": "user"
},
{
"content": "What is the greatest of four consecutive even integers whose sum is 1284?",
"role": "assistant"
}
] |
What is the greatest of four consecutive even integers whose sum is 1284?
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the sum of four consecutive even integers is 1284 . the greatest of them is :
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the area of a square field is 24200 sq m . how long will a lady take to cross the field diagonally at the rate of 6.6 km / hr ?
|
[
{
"content": "the area of a square field is 24200 sq m . how long will a lady take to cross the field diagonally at the rate of 6.6 km / hr ?",
"role": "user"
},
{
"content": "What's the time it will take for a lady to cross the field diagonally at 6.6 km/hr, given the area of the square field is 24200 sq m?",
"role": "assistant"
}
] |
What's the time it will take for a lady to cross the field diagonally at 6.6 km/hr, given the area of the square field is 24200 sq m?
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the area of a square field is 24200 sq m . how long will a lady take to cross the field diagonally at the rate of 6.6 km / hr ?
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anne bought doughnuts for a class breakfast party . she bought 12 chocolate doughnuts , 6 coconut doughnuts , and 8 jam - filled doughnuts . how many doughnuts did anne buy in all ?
|
[
{
"content": "anne bought doughnuts for a class breakfast party . she bought 12 chocolate doughnuts , 6 coconut doughnuts , and 8 jam - filled doughnuts . how many doughnuts did anne buy in all ?",
"role": "user"
},
{
"content": "What was the total number of doughnuts anne purchased ?",
"role": "assistant"
}
] |
What was the total number of doughnuts anne purchased ?
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anne bought doughnuts for a class breakfast party . she bought 12 chocolate doughnuts , 6 coconut doughnuts , and 8 jam - filled doughnuts . how many doughnuts did anne buy in all ?
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in what time will a train 100 m long cross an electric pole , it its speed be 90 km / hr ?
|
[
{
"content": "in what time will a train 100 m long cross an electric pole , it its speed be 90 km / hr ?",
"role": "user"
},
{
"content": "How long will it take for a 100m long train to pass an electric pole at a speed of 90 km/hr?",
"role": "assistant"
}
] |
How long will it take for a 100m long train to pass an electric pole at a speed of 90 km/hr?
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in what time will a train 100 m long cross an electric pole , it its speed be 90 km / hr ?
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if the number is divided by 3 , it reduced by 34 . the number is
|
[
{
"content": "if the number is divided by 3 , it reduced by 34 . the number is",
"role": "user"
},
{
"content": "If the number is divided by 3, it decreases by 34; what is the number?",
"role": "assistant"
}
] |
If the number is divided by 3, it decreases by 34; what is the number?
|
if the number is divided by 3 , it reduced by 34 . the number is
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if a train runs at 40 kmph , it reach its destination late by 11 minutes but if it runs at 50 kmph it is late by 5 minutes only . the correct time for a train to complete its journey is ? let the correct time to complete the journey be x min distance covered in ( x + 11 ) min . at 40 kmph distance covered in ( x + 5 ) min . at 50 kmph ( x + 11 ) / 60 * 40 = ( x + 5 ) / 60 * 50 x = 19 min
|
[
{
"content": "if a train runs at 40 kmph , it reach its destination late by 11 minutes but if it runs at 50 kmph it is late by 5 minutes only . the correct time for a train to complete its journey is ? let the correct time to complete the journey be x min distance covered in ( x + 11 ) min . at 40 kmph distance covered in ( x + 5 ) min . at 50 kmph ( x + 11 ) / 60 * 40 = ( x + 5 ) / 60 * 50 x = 19 min",
"role": "user"
},
{
"content": "What is the correct time for a train to complete its journey if running at 40 kmph makes it 11 minutes late, while running at 50 kmph makes it only 5 minutes late?",
"role": "assistant"
}
] |
What is the correct time for a train to complete its journey if running at 40 kmph makes it 11 minutes late, while running at 50 kmph makes it only 5 minutes late?
|
if a train runs at 40 kmph , it reach its destination late by 11 minutes but if it runs at 50 kmph it is late by 5 minutes only . the correct time for a train to complete its journey is ? let the correct time to complete the journey be x min distance covered in ( x + 11 ) min . at 40 kmph distance covered in ( x + 5 ) min . at 50 kmph ( x + 11 ) / 60 * 40 = ( x + 5 ) / 60 * 50 x = 19 min
|
how many cubes of 8 cm edge can be cut out of a cube of 16 cm edge
|
[
{
"content": "how many cubes of 8 cm edge can be cut out of a cube of 16 cm edge",
"role": "user"
},
{
"content": "To find the number of cubes with 8 cm edges that can be cut from a 16 cm edge cube, we can divide the volume of the larger cube by the volume of the smaller cube.\n\nThe volume of the larger cube is 16 cm * 16 cm * 16 cm = 4096 cubic cm.\nThe volume of the smaller cube is 8 cm * 8 cm * 8 cm = 512 cubic cm.\n\nNow, divide the volume of the larger cube by the volume of the smaller cube: 4096 / 512 = 8.\n\nSo, 8 cubes of 8 cm edge can be cut out of a cube of 16 cm edge.",
"role": "assistant"
}
] |
To find the number of cubes with 8 cm edges that can be cut from a 16 cm edge cube, we can divide the volume of the larger cube by the volume of the smaller cube.
The volume of the larger cube is 16 cm * 16 cm * 16 cm = 4096 cubic cm.
The volume of the smaller cube is 8 cm * 8 cm * 8 cm = 512 cubic cm.
Now, divide the volume of the larger cube by the volume of the smaller cube: 4096 / 512 = 8.
So, 8 cubes of 8 cm edge can be cut out of a cube of 16 cm edge.
|
how many cubes of 8 cm edge can be cut out of a cube of 16 cm edge
|
share rs . 5400 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ?
|
[
{
"content": "share rs . 5400 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ?",
"role": "user"
},
{
"content": "Divide Rs. 5400 among John, Jose, and Binoy in the ratio 2:4:6. What is John's share?",
"role": "assistant"
}
] |
Divide Rs. 5400 among John, Jose, and Binoy in the ratio 2:4:6. What is John's share?
|
share rs . 5400 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ?
|
a room is a square of side 50 feet . a second room is of area 100 square yards . a third room is of area 200 square feet . which of these can seat maximum people ? ( hint : 1 yard = 3 feet )
|
[
{
"content": "a room is a square of side 50 feet . a second room is of area 100 square yards . a third room is of area 200 square feet . which of these can seat maximum people ? ( hint : 1 yard = 3 feet )",
"role": "user"
},
{
"content": "Which room can accommodate the most people, given that one room is 50 feet by 50 feet, another is 100 square yards, and the third is 200 square feet in area?",
"role": "assistant"
}
] |
Which room can accommodate the most people, given that one room is 50 feet by 50 feet, another is 100 square yards, and the third is 200 square feet in area?
|
a room is a square of side 50 feet . a second room is of area 100 square yards . a third room is of area 200 square feet . which of these can seat maximum people ? ( hint : 1 yard = 3 feet )
|
alex and brian start a business with rs . 7000 each , and after 8 months , brian withdraws half of his capital . how should they share the profits at the end of the 18 months ?
|
[
{
"content": "alex and brian start a business with rs . 7000 each , and after 8 months , brian withdraws half of his capital . how should they share the profits at the end of the 18 months ?",
"role": "user"
},
{
"content": "How should Alex and Brian divide the profits after 18 months, given that they initially invested Rs. 7000 each and Brian withdrew half of his capital after 8 months?",
"role": "assistant"
}
] |
How should Alex and Brian divide the profits after 18 months, given that they initially invested Rs. 7000 each and Brian withdrew half of his capital after 8 months?
|
alex and brian start a business with rs . 7000 each , and after 8 months , brian withdraws half of his capital . how should they share the profits at the end of the 18 months ?
|
of the people who responded to a market survey , 240 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 6 to 1 , how many people responded to the survey ?
|
[
{
"content": "of the people who responded to a market survey , 240 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 6 to 1 , how many people responded to the survey ?",
"role": "user"
},
{
"content": "What is the total number of survey respondents if 240 preferred brand x and the rest brand y, given that the preference ratio of brand x to brand y is 6:1?",
"role": "assistant"
}
] |
What is the total number of survey respondents if 240 preferred brand x and the rest brand y, given that the preference ratio of brand x to brand y is 6:1?
|
of the people who responded to a market survey , 240 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 6 to 1 , how many people responded to the survey ?
|
a block of wood has dimensions 10 cm x 10 cm x 40 cm . the block is painted red and then cut evenly at the 20 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ?
|
[
{
"content": "a block of wood has dimensions 10 cm x 10 cm x 40 cm . the block is painted red and then cut evenly at the 20 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ?",
"role": "user"
},
{
"content": "A block of wood measures 10 cm x 10 cm x 40 cm. After being painted red, it's cut into two equal rectangular solids at the 20 cm mark, parallel to the sides. What percentage of the surface area of each new solid remains unpainted?",
"role": "assistant"
}
] |
A block of wood measures 10 cm x 10 cm x 40 cm. After being painted red, it's cut into two equal rectangular solids at the 20 cm mark, parallel to the sides. What percentage of the surface area of each new solid remains unpainted?
|
a block of wood has dimensions 10 cm x 10 cm x 40 cm . the block is painted red and then cut evenly at the 20 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ?
|
two trains 119 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?
|
[
{
"content": "two trains 119 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?",
"role": "user"
},
{
"content": "How long will it take for two trains, 119 meters and 165 meters long, traveling in opposite directions at 80 km/h and 65 km/h, to completely pass each other after meeting?",
"role": "assistant"
}
] |
How long will it take for two trains, 119 meters and 165 meters long, traveling in opposite directions at 80 km/h and 65 km/h, to completely pass each other after meeting?
|
two trains 119 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?
|
if an integer e is to be chosen at random from the integers 1 to 96 , inclusive , what is the probability that e ( e + 1 ) ( e + 2 ) will be divisible by 8 ?
|
[
{
"content": "if an integer e is to be chosen at random from the integers 1 to 96 , inclusive , what is the probability that e ( e + 1 ) ( e + 2 ) will be divisible by 8 ?",
"role": "user"
},
{
"content": "What is the probability that the product of e, e+1, and e+2 will be a multiple of 8 if e is randomly chosen from the integers 1 through 96?",
"role": "assistant"
}
] |
What is the probability that the product of e, e+1, and e+2 will be a multiple of 8 if e is randomly chosen from the integers 1 through 96?
|
if an integer e is to be chosen at random from the integers 1 to 96 , inclusive , what is the probability that e ( e + 1 ) ( e + 2 ) will be divisible by 8 ?
|
if 20 men can build a wall 66 metres long in 10 days , what length of a similar can be built by 86 men in 8 days ?
|
[
{
"content": "if 20 men can build a wall 66 metres long in 10 days , what length of a similar can be built by 86 men in 8 days ?",
"role": "user"
},
{
"content": "If 20 men can construct a 66-metre wall in 10 days, what length of a similar wall can 86 men build in 8 days?",
"role": "assistant"
}
] |
If 20 men can construct a 66-metre wall in 10 days, what length of a similar wall can 86 men build in 8 days?
|
if 20 men can build a wall 66 metres long in 10 days , what length of a similar can be built by 86 men in 8 days ?
|
if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 9 ) , what is the value of x ?
|
[
{
"content": "if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 9 ) , what is the value of x ?",
"role": "user"
},
{
"content": "What is the value of x if 2^x - 2^(x-2) equals 3 * 2^9 ?",
"role": "assistant"
}
] |
What is the value of x if 2^x - 2^(x-2) equals 3 * 2^9 ?
|
if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 9 ) , what is the value of x ?
|
by travelling at 60 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ?
|
[
{
"content": "by travelling at 60 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ?",
"role": "user"
},
{
"content": "At 60 kmph, a person arrives on schedule. Having covered two-thirds of the total distance in one-third of the time, what speed is required to cover the remaining distance on time?",
"role": "assistant"
}
] |
At 60 kmph, a person arrives on schedule. Having covered two-thirds of the total distance in one-third of the time, what speed is required to cover the remaining distance on time?
|
by travelling at 60 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ?
|
a candidate got 35 % of the votes polled and he lost to his rival by 2430 votes . how many votes were cast ?
|
[
{
"content": "a candidate got 35 % of the votes polled and he lost to his rival by 2430 votes . how many votes were cast ?",
"role": "user"
},
{
"content": "what was the total number of votes polled",
"role": "assistant"
}
] |
what was the total number of votes polled
|
a candidate got 35 % of the votes polled and he lost to his rival by 2430 votes . how many votes were cast ?
|
if the average of 5 positive integers is 65 and the difference between the largest and the smallest of these 5 numbers is 10 , what is the maximum value possible for the largest of these 5 integers ?
|
[
{
"content": "if the average of 5 positive integers is 65 and the difference between the largest and the smallest of these 5 numbers is 10 , what is the maximum value possible for the largest of these 5 integers ?",
"role": "user"
},
{
"content": "What is the largest possible value for the largest integer, given that the average of 5 positive integers is 65 and the difference between the largest and smallest is 10?",
"role": "assistant"
}
] |
What is the largest possible value for the largest integer, given that the average of 5 positive integers is 65 and the difference between the largest and smallest is 10?
|
if the average of 5 positive integers is 65 and the difference between the largest and the smallest of these 5 numbers is 10 , what is the maximum value possible for the largest of these 5 integers ?
|
p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 20 days to complete the same work . then q alone can do it in
|
[
{
"content": "p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 20 days to complete the same work . then q alone can do it in",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text:\n\np can complete a task in the same amount of time that q and r can do together. When p and q collaborate, the task is finished in 10 days. r alone requires 20 days to finish the task. Then, how many days does q alone need to complete it?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text:
p can complete a task in the same amount of time that q and r can do together. When p and q collaborate, the task is finished in 10 days. r alone requires 20 days to finish the task. Then, how many days does q alone need to complete it?
|
p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 20 days to complete the same work . then q alone can do it in
|
sale of rs 6835 , rs . 9927 , 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": "sale of rs 6835 , rs . 9927 , 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 sale of Rs. 6500, what amount of sales is needed in the sixth month, given sales of Rs. 6835, Rs. 9927, Rs. 6855, Rs. 7230, and Rs. 6562 for the first five consecutive months?",
"role": "assistant"
}
] |
To achieve an average sale of Rs. 6500, what amount of sales is needed in the sixth month, given sales of Rs. 6835, Rs. 9927, Rs. 6855, Rs. 7230, and Rs. 6562 for the first five consecutive months?
|
sale of rs 6835 , rs . 9927 , 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 ?
|
find the area of a parallelogram with base 15 cm and height 40 cm ?
|
[
{
"content": "find the area of a parallelogram with base 15 cm and height 40 cm ?",
"role": "user"
},
{
"content": "What is the area of a parallelogram that has a base of 15 cm and a height of 40 cm?",
"role": "assistant"
}
] |
What is the area of a parallelogram that has a base of 15 cm and a height of 40 cm?
|
find the area of a parallelogram with base 15 cm and height 40 cm ?
|
the number 70 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?
|
[
{
"content": "the number 70 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?",
"role": "user"
},
{
"content": "What is the sum of the 3 distinct positive integers whose squares add up to 70 ?",
"role": "assistant"
}
] |
What is the sum of the 3 distinct positive integers whose squares add up to 70 ?
|
the number 70 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?
|
if 5 machines can produce 20 units in 10 hours , how long would it take 25 to produce 100 units ?
|
[
{
"content": "if 5 machines can produce 20 units in 10 hours , how long would it take 25 to produce 100 units ?",
"role": "user"
},
{
"content": "If 5 machines can produce 20 units in 10 hours, what time would 25 machines need to produce 100 units?",
"role": "assistant"
}
] |
If 5 machines can produce 20 units in 10 hours, what time would 25 machines need to produce 100 units?
|
if 5 machines can produce 20 units in 10 hours , how long would it take 25 to produce 100 units ?
|
population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007
|
[
{
"content": "population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007",
"role": "user"
},
{
"content": "What is the population of the city at the end of 2007, given a 15% increase in 2005, a 35% decrease in 2006, and a 45% increase in 2007, from a base population of 1,000,000 in 2004?",
"role": "assistant"
}
] |
What is the population of the city at the end of 2007, given a 15% increase in 2005, a 35% decrease in 2006, and a 45% increase in 2007, from a base population of 1,000,000 in 2004?
|
population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007
|
a sum of money is distributed among a , b , c , d in the proportion of 1 : 3 : 4 : 2 . if c gets $ 500 more than d , what is the b ' s share ?
|
[
{
"content": "a sum of money is distributed among a , b , c , d in the proportion of 1 : 3 : 4 : 2 . if c gets $ 500 more than d , what is the b ' s share ?",
"role": "user"
},
{
"content": "In a distribution of a sum of money to a, b, c, and d in a 1:3:4:2 ratio, if c receives $500 more than d, what amount will b receive?",
"role": "assistant"
}
] |
In a distribution of a sum of money to a, b, c, and d in a 1:3:4:2 ratio, if c receives $500 more than d, what amount will b receive?
|
a sum of money is distributed among a , b , c , d in the proportion of 1 : 3 : 4 : 2 . if c gets $ 500 more than d , what is the b ' s share ?
|
the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 507 sq m , then what is the breadth of the rectangular plot ?
|
[
{
"content": "the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 507 sq m , then what is the breadth of the rectangular plot ?",
"role": "user"
},
{
"content": "If a rectangular plot's length is three times its width, and the area is 507 sq m, what is the width of the plot?",
"role": "assistant"
}
] |
If a rectangular plot's length is three times its width, and the area is 507 sq m, what is the width of the plot?
|
the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 507 sq m , then what is the breadth of the rectangular plot ?
|
the number 341 is equal to the sum of the cubes of two integers . what is the product of those integers ?
|
[
{
"content": "the number 341 is equal to the sum of the cubes of two integers . what is the product of those integers ?",
"role": "user"
},
{
"content": "What is the product of the two integers whose cubes add up to 341?",
"role": "assistant"
}
] |
What is the product of the two integers whose cubes add up to 341?
|
the number 341 is equal to the sum of the cubes of two integers . what is the product of those integers ?
|
what is the sum of the multiples of 7 from 77 to 91 , inclusive ?
|
[
{
"content": "what is the sum of the multiples of 7 from 77 to 91 , inclusive ?",
"role": "user"
},
{
"content": "What is the sum of all the multiples of 7 between 77 and 91 , inclusive ?",
"role": "assistant"
}
] |
What is the sum of all the multiples of 7 between 77 and 91 , inclusive ?
|
what is the sum of the multiples of 7 from 77 to 91 , inclusive ?
|
45 x ? = 25 % of 900
|
[
{
"content": "45 x ? = 25 % of 900",
"role": "user"
},
{
"content": "What number multiplied by 45 equals 25% of 900?",
"role": "assistant"
}
] |
What number multiplied by 45 equals 25% of 900?
|
45 x ? = 25 % of 900
|
if there are thrice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30 % of the total . what fraction of the total is men who own cars ?
|
[
{
"content": "if there are thrice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30 % of the total . what fraction of the total is men who own cars ?",
"role": "user"
},
{
"content": "What fraction of the total group consists of men who own cars if the group has three times as many women as men, and 30% of the total group has an equal number of men and women who do not own cars?",
"role": "assistant"
}
] |
What fraction of the total group consists of men who own cars if the group has three times as many women as men, and 30% of the total group has an equal number of men and women who do not own cars?
|
if there are thrice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30 % of the total . what fraction of the total is men who own cars ?
|
| x + 3 | – | 4 - x | = | 7 + x | how many solutions will this equation have ?
|
[
{
"content": "| x + 3 | – | 4 - x | = | 7 + x | how many solutions will this equation have ?",
"role": "user"
},
{
"content": "How many solutions does the equation | x + 3 | – | 4 - x | = | 7 + x | have?",
"role": "assistant"
}
] |
How many solutions does the equation | x + 3 | – | 4 - x | = | 7 + x | have?
|
| x + 3 | – | 4 - x | = | 7 + x | how many solutions will this equation have ?
|
a man is 24 years older than his son . in three years , his age will be twice the age of his son . the present age of the son is
|
[
{
"content": "a man is 24 years older than his son . in three years , his age will be twice the age of his son . the present age of the son is",
"role": "user"
},
{
"content": "Here's a paraphrased version of the given text while preserving its original structure and semantics:\n\nThe son is currently __________ years old, given that his father is 24 years older than him and will be twice his age in three years.",
"role": "assistant"
}
] |
Here's a paraphrased version of the given text while preserving its original structure and semantics:
The son is currently __________ years old, given that his father is 24 years older than him and will be twice his age in three years.
|
a man is 24 years older than his son . in three years , his age will be twice the age of his son . the present age of the son is
|
an auction house charges a commission of 17 % on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ?
|
[
{
"content": "an auction house charges a commission of 17 % on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ?",
"role": "user"
},
{
"content": "What was the sale price of a painting for which the auction house charged a total commission of $24,000, given that it charges 17% on the first $50,000 and 10% on the excess?",
"role": "assistant"
}
] |
What was the sale price of a painting for which the auction house charged a total commission of $24,000, given that it charges 17% on the first $50,000 and 10% on the excess?
|
an auction house charges a commission of 17 % on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ?
|
a man covers a certain distance q in a train . if the train moved 4 km / hr faster , it would take 30 min less . if it moved 2 km / hr slower , it would take 20 mins more . find the distance ?
|
[
{
"content": "a man covers a certain distance q in a train . if the train moved 4 km / hr faster , it would take 30 min less . if it moved 2 km / hr slower , it would take 20 mins more . find the distance ?",
"role": "user"
},
{
"content": "What is the distance q if a 4 km/hr increase in the train's speed would save 30 minutes, while a 2 km/hr decrease would add 20 minutes?",
"role": "assistant"
}
] |
What is the distance q if a 4 km/hr increase in the train's speed would save 30 minutes, while a 2 km/hr decrease would add 20 minutes?
|
a man covers a certain distance q in a train . if the train moved 4 km / hr faster , it would take 30 min less . if it moved 2 km / hr slower , it would take 20 mins more . find the distance ?
|
if the a radio is sold for rs 490 and sold for rs 465.50 . find loss % .
|
[
{
"content": "if the a radio is sold for rs 490 and sold for rs 465.50 . find loss % .",
"role": "user"
},
{
"content": "What is the loss percentage if a radio is bought for Rs 490 and sold for Rs 465.50?",
"role": "assistant"
}
] |
What is the loss percentage if a radio is bought for Rs 490 and sold for Rs 465.50?
|
if the a radio is sold for rs 490 and sold for rs 465.50 . find loss % .
|
eight identical machines can produce 360 aluminum cans per hour . if all of the machines work at the same constant rate , how many cans could 5 such machines produce in 6 hours ?
|
[
{
"content": "eight identical machines can produce 360 aluminum cans per hour . if all of the machines work at the same constant rate , how many cans could 5 such machines produce in 6 hours ?",
"role": "user"
},
{
"content": "At a constant rate, 8 identical machines can produce 360 aluminum cans per hour. How many cans could 5 machines produce in 6 hours at the same rate?",
"role": "assistant"
}
] |
At a constant rate, 8 identical machines can produce 360 aluminum cans per hour. How many cans could 5 machines produce in 6 hours at the same rate?
|
eight identical machines can produce 360 aluminum cans per hour . if all of the machines work at the same constant rate , how many cans could 5 such machines produce in 6 hours ?
|
a cycle is bought for rs . 900 and sold for rs . 1160 , find the gain percent ?
|
[
{
"content": "a cycle is bought for rs . 900 and sold for rs . 1160 , find the gain percent ?",
"role": "user"
},
{
"content": "What is the gain percentage when a cycle is purchased for Rs. 900 and sold for Rs. 1160?",
"role": "assistant"
}
] |
What is the gain percentage when a cycle is purchased for Rs. 900 and sold for Rs. 1160?
|
a cycle is bought for rs . 900 and sold for rs . 1160 , find the gain percent ?
|
the perimeter of a rectangular yard is completely surrounded by a fence that measures 12 meters . what is the length of the yard if the area of the yard is 9 meters squared ?
|
[
{
"content": "the perimeter of a rectangular yard is completely surrounded by a fence that measures 12 meters . what is the length of the yard if the area of the yard is 9 meters squared ?",
"role": "user"
},
{
"content": "Given that a rectangular yard's perimeter is fully fenced with 12 meters of fencing, what is the yard's length when its area is 9 square meters?",
"role": "assistant"
}
] |
Given that a rectangular yard's perimeter is fully fenced with 12 meters of fencing, what is the yard's length when its area is 9 square meters?
|
the perimeter of a rectangular yard is completely surrounded by a fence that measures 12 meters . what is the length of the yard if the area of the yard is 9 meters squared ?
|
x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 7 will be equal to :
|
[
{
"content": "x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 7 will be equal to :",
"role": "user"
},
{
"content": "What will be the value of x when y is 7, given that x is inversely proportional to y squared and x is 1 when y is 3?",
"role": "assistant"
}
] |
What will be the value of x when y is 7, given that x is inversely proportional to y squared and x is 1 when y is 3?
|
x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 7 will be equal to :
|
each machine of type a has 3 steel parts and 3 chrome parts . each machine of type b has 6 steel parts and 5 chrome parts . if a certain group of type a and type b machines has a total of 60 steel parts and 44 chrome parts , how many machines are in the group
|
[
{
"content": "each machine of type a has 3 steel parts and 3 chrome parts . each machine of type b has 6 steel parts and 5 chrome parts . if a certain group of type a and type b machines has a total of 60 steel parts and 44 chrome parts , how many machines are in the group",
"role": "user"
},
{
"content": "What is the total number of type A and type B machines in a group that has 60 steel parts and 44 chrome parts, given that each type A machine has 3 steel and 3 chrome parts, and each type B machine has 6 steel and 5 chrome parts?",
"role": "assistant"
}
] |
What is the total number of type A and type B machines in a group that has 60 steel parts and 44 chrome parts, given that each type A machine has 3 steel and 3 chrome parts, and each type B machine has 6 steel and 5 chrome parts?
|
each machine of type a has 3 steel parts and 3 chrome parts . each machine of type b has 6 steel parts and 5 chrome parts . if a certain group of type a and type b machines has a total of 60 steel parts and 44 chrome parts , how many machines are in the group
|
a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 50 square feet of the wall , and no tiles overlap , what is the area of the entire wall ?
|
[
{
"content": "a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 50 square feet of the wall , and no tiles overlap , what is the area of the entire wall ?",
"role": "user"
},
{
"content": "A rectangular wall is entirely covered with two types of decorative tiles: regular and jumbo. One third of the tiles are jumbo, with lengths three times that of regular tiles and the same length-to-width ratio as the regular tiles. If regular tiles cover 50 square feet of the wall with no overlap, what is the total area of the wall?",
"role": "assistant"
}
] |
A rectangular wall is entirely covered with two types of decorative tiles: regular and jumbo. One third of the tiles are jumbo, with lengths three times that of regular tiles and the same length-to-width ratio as the regular tiles. If regular tiles cover 50 square feet of the wall with no overlap, what is the total area of the wall?
|
a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 50 square feet of the wall , and no tiles overlap , what is the area of the entire wall ?
|
a clothing store purchased a pair of pants for $ 90 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price . after some time a clothing store owner decided to decrease the selling price by 20 percent . what was the clothing store ' s gross profit on this sale ?
|
[
{
"content": "a clothing store purchased a pair of pants for $ 90 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price . after some time a clothing store owner decided to decrease the selling price by 20 percent . what was the clothing store ' s gross profit on this sale ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text:\n\nA clothing store bought a pair of pants for $90 and sold them at a price that included the purchase price plus a 25% markup. Later, the store owner reduced the selling price by 20%. What was the store's gross profit from this sale?\n\nNote that I preserved the original structure and semantics of the text, including the question format and the details of the scenario.",
"role": "assistant"
}
] |
Here is a paraphrased version of the text:
A clothing store bought a pair of pants for $90 and sold them at a price that included the purchase price plus a 25% markup. Later, the store owner reduced the selling price by 20%. What was the store's gross profit from this sale?
Note that I preserved the original structure and semantics of the text, including the question format and the details of the scenario.
|
a clothing store purchased a pair of pants for $ 90 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price . after some time a clothing store owner decided to decrease the selling price by 20 percent . what was the clothing store ' s gross profit on this sale ?
|
a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 60 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . )
|
[
{
"content": "a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 60 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . )",
"role": "user"
},
{
"content": "What amount of annual earnings would lead to a 60% decrease in the recipient's $12,000 annual social security benefit if earnings above $9,360 result in a $1 reduction for every $3 earned",
"role": "assistant"
}
] |
What amount of annual earnings would lead to a 60% decrease in the recipient's $12,000 annual social security benefit if earnings above $9,360 result in a $1 reduction for every $3 earned
|
a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 60 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . )
|
the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 6 per metre approximately
|
[
{
"content": "the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 6 per metre approximately",
"role": "user"
},
{
"content": "What is the approximate cost of fencing a circular field with an area of 17.56 hectares at Rs. 6 per meter?",
"role": "assistant"
}
] |
What is the approximate cost of fencing a circular field with an area of 17.56 hectares at Rs. 6 per meter?
|
the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 6 per metre approximately
|
the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years q in which the population would be doubled assuming there is no emigration or immigration is
|
[
{
"content": "the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years q in which the population would be doubled assuming there is no emigration or immigration is",
"role": "user"
},
{
"content": "the annual birth and death rates in a country per 1000 are 39.4 and 19.4 respectively . in how many years q would the population double , assuming no emigration or immigration",
"role": "assistant"
}
] |
the annual birth and death rates in a country per 1000 are 39.4 and 19.4 respectively . in how many years q would the population double , assuming no emigration or immigration
|
the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years q in which the population would be doubled assuming there is no emigration or immigration is
|
a is twice as good a workman as b and they took 8 days together to do the work b alone can do it in .
|
[
{
"content": "a is twice as good a workman as b and they took 8 days together to do the work b alone can do it in .",
"role": "user"
},
{
"content": "If a is twice as skilled as b, and together they can complete the work in 8 days, how many days would b take alone to do it",
"role": "assistant"
}
] |
If a is twice as skilled as b, and together they can complete the work in 8 days, how many days would b take alone to do it
|
a is twice as good a workman as b and they took 8 days together to do the work b alone can do it in .
|
5 n + 2 > 12 and 7 n - 5 < 23 ; n must be between which numbers ?
|
[
{
"content": "5 n + 2 > 12 and 7 n - 5 < 23 ; n must be between which numbers ?",
"role": "user"
},
{
"content": "What are the two numbers between which n must be ?",
"role": "assistant"
}
] |
What are the two numbers between which n must be ?
|
5 n + 2 > 12 and 7 n - 5 < 23 ; n must be between which numbers ?
|
how many unique positive odd integers less than 70 are equal to the product of a positive multiple of 5 and an odd number ?
|
[
{
"content": "how many unique positive odd integers less than 70 are equal to the product of a positive multiple of 5 and an odd number ?",
"role": "user"
},
{
"content": "What is the number of unique positive odd integers less than 70 that are the product of a positive multiple of 5 and an odd number ?",
"role": "assistant"
}
] |
What is the number of unique positive odd integers less than 70 that are the product of a positive multiple of 5 and an odd number ?
|
how many unique positive odd integers less than 70 are equal to the product of a positive multiple of 5 and an odd number ?
|
find the value of 201834 x 99999 = m ?
|
[
{
"content": "find the value of 201834 x 99999 = m ?",
"role": "user"
},
{
"content": "What is the product of 201834 and 99999?",
"role": "assistant"
}
] |
What is the product of 201834 and 99999?
|
find the value of 201834 x 99999 = m ?
|
if a 5 percent deposit that has been paid toward the purchase of a certain product is $ 70 , how much more remains to be paid ?
|
[
{
"content": "if a 5 percent deposit that has been paid toward the purchase of a certain product is $ 70 , how much more remains to be paid ?",
"role": "user"
},
{
"content": "What is the remaining amount to be paid after a 5% deposit of $70 has been made towards the purchase of a product?",
"role": "assistant"
}
] |
What is the remaining amount to be paid after a 5% deposit of $70 has been made towards the purchase of a product?
|
if a 5 percent deposit that has been paid toward the purchase of a certain product is $ 70 , how much more remains to be paid ?
|
for all even integers n , h ( n ) is defined to be the sum of the even integers between 4 and n , inclusive . what is the value of h ( 18 ) / h ( 10 ) ?
|
[
{
"content": "for all even integers n , h ( n ) is defined to be the sum of the even integers between 4 and n , inclusive . what is the value of h ( 18 ) / h ( 10 ) ?",
"role": "user"
},
{
"content": "For all even integers n, h(n) is defined as the sum of even integers between 4 and n, inclusive; what is the value of h(18) divided by h(10)?",
"role": "assistant"
}
] |
For all even integers n, h(n) is defined as the sum of even integers between 4 and n, inclusive; what is the value of h(18) divided by h(10)?
|
for all even integers n , h ( n ) is defined to be the sum of the even integers between 4 and n , inclusive . what is the value of h ( 18 ) / h ( 10 ) ?
|
due to construction , the speed limit along an 5 - mile section of highway is reduced from 60 miles per hour to 40 miles per hour . approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
|
[
{
"content": "due to construction , the speed limit along an 5 - mile section of highway is reduced from 60 miles per hour to 40 miles per hour . approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?",
"role": "user"
},
{
"content": "How many more minutes will it take to travel 5 miles at 40 miles per hour instead of 60 miles per hour due to construction ?",
"role": "assistant"
}
] |
How many more minutes will it take to travel 5 miles at 40 miles per hour instead of 60 miles per hour due to construction ?
|
due to construction , the speed limit along an 5 - mile section of highway is reduced from 60 miles per hour to 40 miles per hour . approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
|
a pyramid has a square base of 6 cm , and the four lateral faces are four congruent equilateral triangles . what is the total surface area of the pyramid in square cm ?
|
[
{
"content": "a pyramid has a square base of 6 cm , and the four lateral faces are four congruent equilateral triangles . what is the total surface area of the pyramid in square cm ?",
"role": "user"
},
{
"content": "What is the total surface area in square centimeters of a pyramid with a 6 cm square base and four congruent equilateral triangles as its lateral faces ?",
"role": "assistant"
}
] |
What is the total surface area in square centimeters of a pyramid with a 6 cm square base and four congruent equilateral triangles as its lateral faces ?
|
a pyramid has a square base of 6 cm , and the four lateral faces are four congruent equilateral triangles . what is the total surface area of the pyramid in square cm ?
|
sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 1.5 % more . she would get how much ?
|
[
{
"content": "sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 1.5 % more . she would get how much ?",
"role": "user"
},
{
"content": "If the interest had been 1.5% more, how much would Sonika have received after 3 years?",
"role": "assistant"
}
] |
If the interest had been 1.5% more, how much would Sonika have received after 3 years?
|
sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 1.5 % more . she would get how much ?
|
a horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 12 m long . over how much area of the field can it graze ?
|
[
{
"content": "a horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 12 m long . over how much area of the field can it graze ?",
"role": "user"
},
{
"content": "What area of the rectangular field can the horse graze when tied to a corner with a 12m rope in a 36m by 20m field ?",
"role": "assistant"
}
] |
What area of the rectangular field can the horse graze when tied to a corner with a 12m rope in a 36m by 20m field ?
|
a horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 12 m long . over how much area of the field can it graze ?
|
there are 6 people in the elevator . their average weight is 170 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person .
|
[
{
"content": "there are 6 people in the elevator . their average weight is 170 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person .",
"role": "user"
},
{
"content": "The elevator originally has 6 people with an average weight of 170 lbs. When another person enters, the average weight drops to 151 lbs. What is the weight of the 7th person?",
"role": "assistant"
}
] |
The elevator originally has 6 people with an average weight of 170 lbs. When another person enters, the average weight drops to 151 lbs. What is the weight of the 7th person?
|
there are 6 people in the elevator . their average weight is 170 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person .
|
two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 27 seconds . find the length of the faster train ?
|
[
{
"content": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 27 seconds . find the length of the faster train ?",
"role": "user"
},
{
"content": "What is the length of the faster train when it overtakes a man in the slower train in 27 seconds, with the two trains traveling in the same direction at 72 km/h and 36 km/h?",
"role": "assistant"
}
] |
What is the length of the faster train when it overtakes a man in the slower train in 27 seconds, with the two trains traveling in the same direction at 72 km/h and 36 km/h?
|
two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 27 seconds . find the length of the faster train ?
|
find the smallest number in gp whose sum is 38 and product is 1728
|
[
{
"content": "find the smallest number in gp whose sum is 38 and product is 1728",
"role": "user"
},
{
"content": "Find the smallest number in a geometric progression where the sum is 38 and the product is 1728.",
"role": "assistant"
}
] |
Find the smallest number in a geometric progression where the sum is 38 and the product is 1728.
|
find the smallest number in gp whose sum is 38 and product is 1728
|
a fair coin is tossed 4 times . what is the probability of getting at least 2 tails ?
|
[
{
"content": "a fair coin is tossed 4 times . what is the probability of getting at least 2 tails ?",
"role": "user"
},
{
"content": "The probability of getting two or more tails when a fair coin is flipped four times is ?",
"role": "assistant"
}
] |
The probability of getting two or more tails when a fair coin is flipped four times is ?
|
a fair coin is tossed 4 times . what is the probability of getting at least 2 tails ?
|
find the area of trapezium whose parallel sides are 30 cm and 18 cm long , and the distance between them is 15 cm .
|
[
{
"content": "find the area of trapezium whose parallel sides are 30 cm and 18 cm long , and the distance between them is 15 cm .",
"role": "user"
},
{
"content": "What is the area of the trapezium with parallel sides of 30 cm and 18 cm, and a height of 15 cm?",
"role": "assistant"
}
] |
What is the area of the trapezium with parallel sides of 30 cm and 18 cm, and a height of 15 cm?
|
find the area of trapezium whose parallel sides are 30 cm and 18 cm long , and the distance between them is 15 cm .
|
the mean of 50 observations is 100 . but later he found that there is decrements of 13 from each observations . what is the the updated mean is ?
|
[
{
"content": "the mean of 50 observations is 100 . but later he found that there is decrements of 13 from each observations . what is the the updated mean is ?",
"role": "user"
},
{
"content": "The mean of 50 observations was initially 100, but with a reduction of 13 from each, what is the new mean?",
"role": "assistant"
}
] |
The mean of 50 observations was initially 100, but with a reduction of 13 from each, what is the new mean?
|
the mean of 50 observations is 100 . but later he found that there is decrements of 13 from each observations . what is the the updated mean is ?
|
if x and y are integers such that x ^ 2 = y and xy = 27 , then x – y = ?
|
[
{
"content": "if x and y are integers such that x ^ 2 = y and xy = 27 , then x – y = ?",
"role": "user"
},
{
"content": "What is the value of x - y, given that x and y are integers, x squared equals y, and the product of x and y is 27?",
"role": "assistant"
}
] |
What is the value of x - y, given that x and y are integers, x squared equals y, and the product of x and y is 27?
|
if x and y are integers such that x ^ 2 = y and xy = 27 , then x – y = ?
|
a pupil ' s marks were wrongly entered as 83 instead of 63 . due to the average marks for the class got increased by half . the number of pupils in the class is ?
|
[
{
"content": "a pupil ' s marks were wrongly entered as 83 instead of 63 . due to the average marks for the class got increased by half . the number of pupils in the class is ?",
"role": "user"
},
{
"content": "A student's grade was incorrectly recorded as 83 instead of 63, causing the class average to rise by half; what is the number of students in the class?",
"role": "assistant"
}
] |
A student's grade was incorrectly recorded as 83 instead of 63, causing the class average to rise by half; what is the number of students in the class?
|
a pupil ' s marks were wrongly entered as 83 instead of 63 . due to the average marks for the class got increased by half . the number of pupils in the class is ?
|
a trader sells 23 meters of cloth for rs . 529 at the profit of rs . 5 per metre of cloth . what is the cost price of one metre of cloth ?
|
[
{
"content": "a trader sells 23 meters of cloth for rs . 529 at the profit of rs . 5 per metre of cloth . what is the cost price of one metre of cloth ?",
"role": "user"
},
{
"content": "What is the cost price of one meter of cloth if a trader sells 23 meters of cloth for Rs. 529 at a profit of Rs. 5 per meter of cloth?",
"role": "assistant"
}
] |
What is the cost price of one meter of cloth if a trader sells 23 meters of cloth for Rs. 529 at a profit of Rs. 5 per meter of cloth?
|
a trader sells 23 meters of cloth for rs . 529 at the profit of rs . 5 per metre of cloth . what is the cost price of one metre of cloth ?
|
if an article is sold at 18 % profit instead of 9 % profit , then the profit would be $ 54 more . what is the cost price ?
|
[
{
"content": "if an article is sold at 18 % profit instead of 9 % profit , then the profit would be $ 54 more . what is the cost price ?",
"role": "user"
},
{
"content": "If an article is sold at an 18% profit instead of a 9% profit, the profit increases by $54. What is the cost price of the article?",
"role": "assistant"
}
] |
If an article is sold at an 18% profit instead of a 9% profit, the profit increases by $54. What is the cost price of the article?
|
if an article is sold at 18 % profit instead of 9 % profit , then the profit would be $ 54 more . what is the cost price ?
|
if 8 cats can kill 8 rats in 8 minutes , how long will it take 100 cats to kill 100 rats ?
|
[
{
"content": "if 8 cats can kill 8 rats in 8 minutes , how long will it take 100 cats to kill 100 rats ?",
"role": "user"
},
{
"content": "If 8 cats can kill 8 rats in 8 minutes, what is the time it will take for 100 cats to kill 100 rats?",
"role": "assistant"
}
] |
If 8 cats can kill 8 rats in 8 minutes, what is the time it will take for 100 cats to kill 100 rats?
|
if 8 cats can kill 8 rats in 8 minutes , how long will it take 100 cats to kill 100 rats ?
|
peter invested a certain sum of money in a simple interest bond whose value grew to $ 400 at the end of 3 years and to $ 600 at the end of another 2 years . what was the rate of interest in which he invested his sum ?
|
[
{
"content": "peter invested a certain sum of money in a simple interest bond whose value grew to $ 400 at the end of 3 years and to $ 600 at the end of another 2 years . what was the rate of interest in which he invested his sum ?",
"role": "user"
},
{
"content": "What was the interest rate at which Peter invested his money",
"role": "assistant"
}
] |
What was the interest rate at which Peter invested his money
|
peter invested a certain sum of money in a simple interest bond whose value grew to $ 400 at the end of 3 years and to $ 600 at the end of another 2 years . what was the rate of interest in which he invested his sum ?
|
3 / 4 of 1 / 2 of 2 / 5 of 5080 = ?
|
[
{
"content": "3 / 4 of 1 / 2 of 2 / 5 of 5080 = ?",
"role": "user"
},
{
"content": "What is 3 / 4 of 1 / 2 of 2 / 5 of 5080?",
"role": "assistant"
}
] |
What is 3 / 4 of 1 / 2 of 2 / 5 of 5080?
|
3 / 4 of 1 / 2 of 2 / 5 of 5080 = ?
|
how many integers k greater than 100 and less than 800 are there such that if the hundreds and the unit digits of k are reversed , the resulting integer is k + 99 ?
|
[
{
"content": "how many integers k greater than 100 and less than 800 are there such that if the hundreds and the unit digits of k are reversed , the resulting integer is k + 99 ?",
"role": "user"
},
{
"content": "What is the number of integers k between 100 and 800, where reversing the hundreds and unit digits of k results in k + 99 ?",
"role": "assistant"
}
] |
What is the number of integers k between 100 and 800, where reversing the hundreds and unit digits of k results in k + 99 ?
|
how many integers k greater than 100 and less than 800 are there such that if the hundreds and the unit digits of k are reversed , the resulting integer is k + 99 ?
|
√ 4 percent of 4 √ 4 =
|
[
{
"content": "√ 4 percent of 4 √ 4 =",
"role": "user"
},
{
"content": "The square root of 4 percent of 4 times the square root of 4",
"role": "assistant"
}
] |
The square root of 4 percent of 4 times the square root of 4
|
√ 4 percent of 4 √ 4 =
|
a palindrome is a number that reads the same forward and backward , such as 616 . how many even , 4 - digit numbers are palindromes ?
|
[
{
"content": "a palindrome is a number that reads the same forward and backward , such as 616 . how many even , 4 - digit numbers are palindromes ?",
"role": "user"
},
{
"content": "What is the count of even , 4 - digit palindromes that read the same forwards and backwards ?",
"role": "assistant"
}
] |
What is the count of even , 4 - digit palindromes that read the same forwards and backwards ?
|
a palindrome is a number that reads the same forward and backward , such as 616 . how many even , 4 - digit numbers are palindromes ?
|
12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 12 hours a day , the number of men required ?
|
[
{
"content": "12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 12 hours a day , the number of men required ?",
"role": "user"
},
{
"content": "How many men are needed to finish the work in 8 days if they work 12 hours a day?",
"role": "assistant"
}
] |
How many men are needed to finish the work in 8 days if they work 12 hours a day?
|
12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 12 hours a day , the number of men required ?
|
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