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points a , b , and , c have xy - coordinates ( 20 ) , ( 812 ) , and ( 140 ) , respectively . points x , y , and z have xy - coordinates ( 60 ) , ( 84 ) , and ( 100 ) , respectively . what fraction c of the area of triangle abc is the area of triangle xyz ?
|
[
{
"content": "points a , b , and , c have xy - coordinates ( 20 ) , ( 812 ) , and ( 140 ) , respectively . points x , y , and z have xy - coordinates ( 60 ) , ( 84 ) , and ( 100 ) , respectively . what fraction c of the area of triangle abc is the area of triangle xyz ?",
"role": "user"
},
{
"content": "Points a, b, and c have coordinates (20), (8,12), and (14,0), and points x, y, and z have coordinates (6,0), (8,4), and (10,0). What fraction of the area of triangle ABC is the area of triangle XYZ?",
"role": "assistant"
}
] |
Points a, b, and c have coordinates (20), (8,12), and (14,0), and points x, y, and z have coordinates (6,0), (8,4), and (10,0). What fraction of the area of triangle ABC is the area of triangle XYZ?
|
points a , b , and , c have xy - coordinates ( 20 ) , ( 812 ) , and ( 140 ) , respectively . points x , y , and z have xy - coordinates ( 60 ) , ( 84 ) , and ( 100 ) , respectively . what fraction c of the area of triangle abc is the area of triangle xyz ?
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a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 174 , how many hours overtime did he work ?
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[
{
"content": "a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 174 , how many hours overtime did he work ?",
"role": "user"
},
{
"content": "For $3 an hour, up to 40 hours, how many overtime hours did he work if his total pay was $174, considering overtime is double the regular rate?",
"role": "assistant"
}
] |
For $3 an hour, up to 40 hours, how many overtime hours did he work if his total pay was $174, considering overtime is double the regular rate?
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a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 174 , how many hours overtime did he work ?
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the price of rice falls by 25 % . how much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously ?
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[
{
"content": "the price of rice falls by 25 % . how much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously ?",
"role": "user"
},
{
"content": "With a 25% drop in rice prices, how much rice can now be purchased with the amount that previously bought 20 kg?",
"role": "assistant"
}
] |
With a 25% drop in rice prices, how much rice can now be purchased with the amount that previously bought 20 kg?
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the price of rice falls by 25 % . how much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously ?
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in plutarch enterprises , 70 % of the employees are marketers , 10 % are engineers , and the rest are managers . marketers make an average salary of $ 50000 a year , and engineers make an average of $ 80000 . what is the average salary for managers if the average for all employees is also $ 80000 ?
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[
{
"content": "in plutarch enterprises , 70 % of the employees are marketers , 10 % are engineers , and the rest are managers . marketers make an average salary of $ 50000 a year , and engineers make an average of $ 80000 . what is the average salary for managers if the average for all employees is also $ 80000 ?",
"role": "user"
},
{
"content": "In Plutarch Enterprises, 70% of the employees are marketers, 10% are engineers, and the remaining 20% are managers. Marketers earn an average annual salary of $50,000, while engineers earn an average of $80,000. What is the average salary for managers if the overall average salary for all employees is also $80,000?",
"role": "assistant"
}
] |
In Plutarch Enterprises, 70% of the employees are marketers, 10% are engineers, and the remaining 20% are managers. Marketers earn an average annual salary of $50,000, while engineers earn an average of $80,000. What is the average salary for managers if the overall average salary for all employees is also $80,000?
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in plutarch enterprises , 70 % of the employees are marketers , 10 % are engineers , and the rest are managers . marketers make an average salary of $ 50000 a year , and engineers make an average of $ 80000 . what is the average salary for managers if the average for all employees is also $ 80000 ?
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john purchased 1370 large bottles at $ 1.99 per bottle and 690 small bottles at $ 1.50 per bottle . what was the approximate average price paid per bottle ?
|
[
{
"content": "john purchased 1370 large bottles at $ 1.99 per bottle and 690 small bottles at $ 1.50 per bottle . what was the approximate average price paid per bottle ?",
"role": "user"
},
{
"content": "What was the approximate average price per bottle that john paid for 1370 large bottles at $ 1.99 and 690 small bottles at $ 1.50 ?",
"role": "assistant"
}
] |
What was the approximate average price per bottle that john paid for 1370 large bottles at $ 1.99 and 690 small bottles at $ 1.50 ?
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john purchased 1370 large bottles at $ 1.99 per bottle and 690 small bottles at $ 1.50 per bottle . what was the approximate average price paid per bottle ?
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find the ratio in which rice at rs . 7.30 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg
|
[
{
"content": "find the ratio in which rice at rs . 7.30 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg",
"role": "user"
},
{
"content": "Determine the ratio at which rice costing Rs. 7.30 per kg should be mixed with rice costing Rs. 5.70 per kg to obtain a mixture valued at Rs. 6.30 per kg.",
"role": "assistant"
}
] |
Determine the ratio at which rice costing Rs. 7.30 per kg should be mixed with rice costing Rs. 5.70 per kg to obtain a mixture valued at Rs. 6.30 per kg.
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find the ratio in which rice at rs . 7.30 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg
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3 different containers contain 50 litres , 100 litres and 150 litres of mixture of milk and water respectively . what is the biggest measure can measure all the different quantities exactly ?
|
[
{
"content": "3 different containers contain 50 litres , 100 litres and 150 litres of mixture of milk and water respectively . what is the biggest measure can measure all the different quantities exactly ?",
"role": "user"
},
{
"content": "What is the largest measurement that can accurately measure 50, 100, and 150 litres of the milk-water mixture in each of the 3 containers?",
"role": "assistant"
}
] |
What is the largest measurement that can accurately measure 50, 100, and 150 litres of the milk-water mixture in each of the 3 containers?
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3 different containers contain 50 litres , 100 litres and 150 litres of mixture of milk and water respectively . what is the biggest measure can measure all the different quantities exactly ?
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2034 - ( 1002 / 20.04 ) = ?
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[
{
"content": "2034 - ( 1002 / 20.04 ) = ?",
"role": "user"
},
{
"content": "What is 2034 minus the result of 1002 divided by 20.04?",
"role": "assistant"
}
] |
What is 2034 minus the result of 1002 divided by 20.04?
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2034 - ( 1002 / 20.04 ) = ?
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x , y , and z are all unique numbers . if x is chosen randomly from the set { 10 , 11 } and y and z are chosen randomly from the set { 20 , 21 , 22 , 23 } , what is the probability that x and y are prime and z is not ?
|
[
{
"content": "x , y , and z are all unique numbers . if x is chosen randomly from the set { 10 , 11 } and y and z are chosen randomly from the set { 20 , 21 , 22 , 23 } , what is the probability that x and y are prime and z is not ?",
"role": "user"
},
{
"content": "What is the probability that x is prime and y is prime and z is not, given that x is chosen randomly from {10, 11} and y and z from {20, 21, 22, 23}?",
"role": "assistant"
}
] |
What is the probability that x is prime and y is prime and z is not, given that x is chosen randomly from {10, 11} and y and z from {20, 21, 22, 23}?
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x , y , and z are all unique numbers . if x is chosen randomly from the set { 10 , 11 } and y and z are chosen randomly from the set { 20 , 21 , 22 , 23 } , what is the probability that x and y are prime and z is not ?
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marty ' s pizza shop guarantees that their pizzas all have at least 75 % of the surface area covered with toppings , with a crust of uniform width surrounding them . if you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust ?
|
[
{
"content": "marty ' s pizza shop guarantees that their pizzas all have at least 75 % of the surface area covered with toppings , with a crust of uniform width surrounding them . if you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust ?",
"role": "user"
},
{
"content": "What is the maximum crust width for Marty's 16-inch best-selling circular pizza, given that the pizza's surface area must be at least 75% covered with toppings and have a uniform crust width?",
"role": "assistant"
}
] |
What is the maximum crust width for Marty's 16-inch best-selling circular pizza, given that the pizza's surface area must be at least 75% covered with toppings and have a uniform crust width?
|
marty ' s pizza shop guarantees that their pizzas all have at least 75 % of the surface area covered with toppings , with a crust of uniform width surrounding them . if you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust ?
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compute all real solutions to 16 x + 4 x + 1 - 96 = 0
|
[
{
"content": "compute all real solutions to 16 x + 4 x + 1 - 96 = 0",
"role": "user"
},
{
"content": "Solve for all real values of x in the equation 16x^2 + 4x + 1 - 96 = 0.",
"role": "assistant"
}
] |
Solve for all real values of x in the equation 16x^2 + 4x + 1 - 96 = 0.
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compute all real solutions to 16 x + 4 x + 1 - 96 = 0
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virginia , adrienne , and dennis have taught history for a combined total of 87 years . if virginia has taught for 9 more years than adrienne and for 9 fewer years than dennis , for how many years has dennis taught ?
|
[
{
"content": "virginia , adrienne , and dennis have taught history for a combined total of 87 years . if virginia has taught for 9 more years than adrienne and for 9 fewer years than dennis , for how many years has dennis taught ?",
"role": "user"
},
{
"content": "Dennis has taught for how many years , if Adrienne , Virginia and he have taught a combined total of 87 years , Virginia taught 9 years more than Adrienne and 9 years less than Dennis ?",
"role": "assistant"
}
] |
Dennis has taught for how many years , if Adrienne , Virginia and he have taught a combined total of 87 years , Virginia taught 9 years more than Adrienne and 9 years less than Dennis ?
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virginia , adrienne , and dennis have taught history for a combined total of 87 years . if virginia has taught for 9 more years than adrienne and for 9 fewer years than dennis , for how many years has dennis taught ?
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the edges of a cuboid are 4 cm , 5 cm and 7 cm . find the volume of the cuboid ?
|
[
{
"content": "the edges of a cuboid are 4 cm , 5 cm and 7 cm . find the volume of the cuboid ?",
"role": "user"
},
{
"content": "What is the volume of a cuboid with edges of 4 cm, 5 cm, and 7 cm?",
"role": "assistant"
}
] |
What is the volume of a cuboid with edges of 4 cm, 5 cm, and 7 cm?
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the edges of a cuboid are 4 cm , 5 cm and 7 cm . find the volume of the cuboid ?
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what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 20 nor by 35 ?
|
[
{
"content": "what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 20 nor by 35 ?",
"role": "user"
},
{
"content": "How many integers between 1 and 1000 are not divisible by either 20 or 35?",
"role": "assistant"
}
] |
How many integers between 1 and 1000 are not divisible by either 20 or 35?
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what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 20 nor by 35 ?
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the population of a town is 10000 . it decreases annually at the rate of 20 % p . a . what will be its population after 2 years ?
|
[
{
"content": "the population of a town is 10000 . it decreases annually at the rate of 20 % p . a . what will be its population after 2 years ?",
"role": "user"
},
{
"content": "What will the town's population be after a 2-year decrease of 20% per annum from 10000?",
"role": "assistant"
}
] |
What will the town's population be after a 2-year decrease of 20% per annum from 10000?
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the population of a town is 10000 . it decreases annually at the rate of 20 % p . a . what will be its population after 2 years ?
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in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 4 , 1 ) , ( 1 , 1 ) , ( 1 , - 3 ) and ( - 4 , - 3 ) ?
|
[
{
"content": "in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 4 , 1 ) , ( 1 , 1 ) , ( 1 , - 3 ) and ( - 4 , - 3 ) ?",
"role": "user"
},
{
"content": "What is the area of the rectangle with vertices at ( - 4 , 1 ) , ( 1 , 1 ) , ( 1 , - 3 ) , and ( - 4 , - 3 ) in a rectangular coordinate system ?",
"role": "assistant"
}
] |
What is the area of the rectangle with vertices at ( - 4 , 1 ) , ( 1 , 1 ) , ( 1 , - 3 ) , and ( - 4 , - 3 ) in a rectangular coordinate system ?
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in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 4 , 1 ) , ( 1 , 1 ) , ( 1 , - 3 ) and ( - 4 , - 3 ) ?
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each person in a group of 110 investors has investments in either equities or securities or both . exactly 25 of the investors in equities have investments in securities , and exactly 40 of the investors in securities have investments in equities . how many have investments in equities ?
|
[
{
"content": "each person in a group of 110 investors has investments in either equities or securities or both . exactly 25 of the investors in equities have investments in securities , and exactly 40 of the investors in securities have investments in equities . how many have investments in equities ?",
"role": "user"
},
{
"content": "What is the number of investors with investments in equities ?",
"role": "assistant"
}
] |
What is the number of investors with investments in equities ?
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each person in a group of 110 investors has investments in either equities or securities or both . exactly 25 of the investors in equities have investments in securities , and exactly 40 of the investors in securities have investments in equities . how many have investments in equities ?
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the area of a triangle will be when a = 1 m , b = 4 m , c = 5 m , a , b , c being lengths of respective sides ?
|
[
{
"content": "the area of a triangle will be when a = 1 m , b = 4 m , c = 5 m , a , b , c being lengths of respective sides ?",
"role": "user"
},
{
"content": "What is the area of a triangle with side lengths a = 1 m, b = 4 m, and c = 5 m?",
"role": "assistant"
}
] |
What is the area of a triangle with side lengths a = 1 m, b = 4 m, and c = 5 m?
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the area of a triangle will be when a = 1 m , b = 4 m , c = 5 m , a , b , c being lengths of respective sides ?
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a certain number of two digits is 3 times the sum of its digits and if 45 be added to it , the degits are reversed . the number is .
|
[
{
"content": "a certain number of two digits is 3 times the sum of its digits and if 45 be added to it , the degits are reversed . the number is .",
"role": "user"
},
{
"content": "What two-digit number is three times the sum of its digits and becomes its reverse when 45 is added to it?",
"role": "assistant"
}
] |
What two-digit number is three times the sum of its digits and becomes its reverse when 45 is added to it?
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a certain number of two digits is 3 times the sum of its digits and if 45 be added to it , the degits are reversed . the number is .
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steve traveled the first 2 hours of his journey at 35 mph and the remaining 3 hours of his journey at 80 mph . what is his average speed for the entire journey ?
|
[
{
"content": "steve traveled the first 2 hours of his journey at 35 mph and the remaining 3 hours of his journey at 80 mph . what is his average speed for the entire journey ?",
"role": "user"
},
{
"content": "What was Steve's average speed for the entire trip if he traveled the first 2 hours at 35 mph and the last 3 hours at 80 mph?",
"role": "assistant"
}
] |
What was Steve's average speed for the entire trip if he traveled the first 2 hours at 35 mph and the last 3 hours at 80 mph?
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steve traveled the first 2 hours of his journey at 35 mph and the remaining 3 hours of his journey at 80 mph . what is his average speed for the entire journey ?
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tom , working alone , can paint a room in 16 hours . peter and john , working independently , can paint the same room in 8 hours and 4 hours , respectively . tom starts painting the room and works on his own for two hour . he is then joined by peter and they work together for two hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ?
|
[
{
"content": "tom , working alone , can paint a room in 16 hours . peter and john , working independently , can paint the same room in 8 hours and 4 hours , respectively . tom starts painting the room and works on his own for two hour . he is then joined by peter and they work together for two hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ?",
"role": "user"
},
{
"content": "To determine what fraction of the job Peter completed, we need to calculate the amount of work done by each person.\n\nTom's rate of work is 1 room / 16 hours = 1/16 room per hour. After working alone for 2 hours, Tom completes 2 * 1/16 = 1/8 of the room.\n\nWhen Tom and Peter work together for 2 hours, their combined rate is 1/16 + 1/8 = 3/16 room per hour. In 2 hours, they complete 2 * 3/16 = 3/8 of the room. Since Tom had already completed 1/8 of the room before Peter joined, the amount of work done by Tom and Peter together is 3/8 - 1/8 = 1/4 of the room. Peter's contribution during this time is 1/4 of the room, as Tom had already completed 1/8 before Peter joined.\n\nNow, let's calculate the amount of work left: 1 - (1/8 + 1/4) = 1 - 3/8 = 5/8 of the room.\n\nWhen John joins Tom and Peter, their combined rate is 1/16 + 1/8 + 1/4 = 5/16 room per hour. Let's denote the time they work together as x hours. In this time, they complete 5x/16 of the room. Since they complete the remaining 5/8 of the room, we can set up the equation:\n\n5x/16 = 5/8\n\nSolving for x, we get x = 2 hours.\n\nIn these 2 hours, Peter's contribution is 2 * 1/8 = 1/4 of the room.\n\nIn total, Peter worked for 2 + 2 = 4 hours and completed 1/4 + 1/4 = 1/2 of the room.\n\nSo, Peter completed 1/2 of the whole job.",
"role": "assistant"
}
] |
To determine what fraction of the job Peter completed, we need to calculate the amount of work done by each person.
Tom's rate of work is 1 room / 16 hours = 1/16 room per hour. After working alone for 2 hours, Tom completes 2 * 1/16 = 1/8 of the room.
When Tom and Peter work together for 2 hours, their combined rate is 1/16 + 1/8 = 3/16 room per hour. In 2 hours, they complete 2 * 3/16 = 3/8 of the room. Since Tom had already completed 1/8 of the room before Peter joined, the amount of work done by Tom and Peter together is 3/8 - 1/8 = 1/4 of the room. Peter's contribution during this time is 1/4 of the room, as Tom had already completed 1/8 before Peter joined.
Now, let's calculate the amount of work left: 1 - (1/8 + 1/4) = 1 - 3/8 = 5/8 of the room.
When John joins Tom and Peter, their combined rate is 1/16 + 1/8 + 1/4 = 5/16 room per hour. Let's denote the time they work together as x hours. In this time, they complete 5x/16 of the room. Since they complete the remaining 5/8 of the room, we can set up the equation:
5x/16 = 5/8
Solving for x, we get x = 2 hours.
In these 2 hours, Peter's contribution is 2 * 1/8 = 1/4 of the room.
In total, Peter worked for 2 + 2 = 4 hours and completed 1/4 + 1/4 = 1/2 of the room.
So, Peter completed 1/2 of the whole job.
|
tom , working alone , can paint a room in 16 hours . peter and john , working independently , can paint the same room in 8 hours and 4 hours , respectively . tom starts painting the room and works on his own for two hour . he is then joined by peter and they work together for two hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ?
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an angry arjun carried some arrows for fighting with bheeshm . with half the arrows , he cut down the arrows thrown by bheeshm on him and with 6 other arrows he killed the chariot driver of bheeshm . with one arrow each he knocked down respectively the chariot , the flag and the bow of bheeshm . finally , with one more than 4 times the square root of arrows he laid bheeshm unconscious on an arrow bed . find the total number of arrows arjun had .
|
[
{
"content": "an angry arjun carried some arrows for fighting with bheeshm . with half the arrows , he cut down the arrows thrown by bheeshm on him and with 6 other arrows he killed the chariot driver of bheeshm . with one arrow each he knocked down respectively the chariot , the flag and the bow of bheeshm . finally , with one more than 4 times the square root of arrows he laid bheeshm unconscious on an arrow bed . find the total number of arrows arjun had .",
"role": "user"
},
{
"content": "How many arrows did an enraged Arjun have when he fought against Bheeshm, using some to deflect Bheeshm's arrows, 6 to kill the charioteer, one each to destroy Bheeshm's chariot, flag, and bow, and more than 4 times the square root of arrows to knock Bheeshm unconscious?",
"role": "assistant"
}
] |
How many arrows did an enraged Arjun have when he fought against Bheeshm, using some to deflect Bheeshm's arrows, 6 to kill the charioteer, one each to destroy Bheeshm's chariot, flag, and bow, and more than 4 times the square root of arrows to knock Bheeshm unconscious?
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an angry arjun carried some arrows for fighting with bheeshm . with half the arrows , he cut down the arrows thrown by bheeshm on him and with 6 other arrows he killed the chariot driver of bheeshm . with one arrow each he knocked down respectively the chariot , the flag and the bow of bheeshm . finally , with one more than 4 times the square root of arrows he laid bheeshm unconscious on an arrow bed . find the total number of arrows arjun had .
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find the distance covered by a man walking for 10 min at a speed of 6 km / hr ?
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[
{
"content": "find the distance covered by a man walking for 10 min at a speed of 6 km / hr ?",
"role": "user"
},
{
"content": "What distance does a man cover walking at 6 km/hr for 10 minutes ?",
"role": "assistant"
}
] |
What distance does a man cover walking at 6 km/hr for 10 minutes ?
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find the distance covered by a man walking for 10 min at a speed of 6 km / hr ?
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in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 15 , what is the greatest possible value of b x a ?
|
[
{
"content": "in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 15 , what is the greatest possible value of b x a ?",
"role": "user"
},
{
"content": "What is the largest possible value of b x a if the number represented by the digits a and b is divisible by 15.",
"role": "assistant"
}
] |
What is the largest possible value of b x a if the number represented by the digits a and b is divisible by 15.
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in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 15 , what is the greatest possible value of b x a ?
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let s be the set of all positive integers that , when divided by 8 , have a remainder of 5 . what is the 79 th number in this set ?
|
[
{
"content": "let s be the set of all positive integers that , when divided by 8 , have a remainder of 5 . what is the 79 th number in this set ?",
"role": "user"
},
{
"content": "What is the 79th positive integer in set S that, when divided by 8, leaves a remainder of 5?",
"role": "assistant"
}
] |
What is the 79th positive integer in set S that, when divided by 8, leaves a remainder of 5?
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let s be the set of all positive integers that , when divided by 8 , have a remainder of 5 . what is the 79 th number in this set ?
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the area of a sector of a circle of radius 4 cm formed by an arc of length 4.5 cm is ?
|
[
{
"content": "the area of a sector of a circle of radius 4 cm formed by an arc of length 4.5 cm is ?",
"role": "user"
},
{
"content": "What is the area of a sector of a circle with a radius of 4 cm formed by a 4.5 cm arc?",
"role": "assistant"
}
] |
What is the area of a sector of a circle with a radius of 4 cm formed by a 4.5 cm arc?
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the area of a sector of a circle of radius 4 cm formed by an arc of length 4.5 cm is ?
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when n is divided by 5 the remainder is 3 . what is the remainder when ( n + 1 ) ^ 2 is divided by 5 ?
|
[
{
"content": "when n is divided by 5 the remainder is 3 . what is the remainder when ( n + 1 ) ^ 2 is divided by 5 ?",
"role": "user"
},
{
"content": "If n leaves a remainder of 3 when divided by 5, what is the remainder when the square of (n+1) is divided by 5?",
"role": "assistant"
}
] |
If n leaves a remainder of 3 when divided by 5, what is the remainder when the square of (n+1) is divided by 5?
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when n is divided by 5 the remainder is 3 . what is the remainder when ( n + 1 ) ^ 2 is divided by 5 ?
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when tom works alone he chops 3 lb . salad in 2 minutes , and when tammy works alone she chops 2 lb . salad in 3 minutes . they start working together , and after some time finish chopping 65 lb . of salad . of those 80 lb . , the salad quantity chopped by tom is what percent greater than the quantifying chopped by tommy ? .
|
[
{
"content": "when tom works alone he chops 3 lb . salad in 2 minutes , and when tammy works alone she chops 2 lb . salad in 3 minutes . they start working together , and after some time finish chopping 65 lb . of salad . of those 80 lb . , the salad quantity chopped by tom is what percent greater than the quantifying chopped by tommy ? .",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text:\n\nWhen Tom works alone, he chops 3 pounds of salad in 2 minutes, and when Tammy works alone, she chops 2 pounds in 3 minutes. They start working together and eventually finish chopping 65 pounds of salad. Of the total 80 pounds, what percentage of the salad chopped by Tom is greater than the amount chopped by Tammy?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text:
When Tom works alone, he chops 3 pounds of salad in 2 minutes, and when Tammy works alone, she chops 2 pounds in 3 minutes. They start working together and eventually finish chopping 65 pounds of salad. Of the total 80 pounds, what percentage of the salad chopped by Tom is greater than the amount chopped by Tammy?
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when tom works alone he chops 3 lb . salad in 2 minutes , and when tammy works alone she chops 2 lb . salad in 3 minutes . they start working together , and after some time finish chopping 65 lb . of salad . of those 80 lb . , the salad quantity chopped by tom is what percent greater than the quantifying chopped by tommy ? .
|
the speed at which a man can row a boat in still water is 21 kmph . if he rows downstream , where the speed of current is 5 kmph , what time will he take to cover 90 metres ?
|
[
{
"content": "the speed at which a man can row a boat in still water is 21 kmph . if he rows downstream , where the speed of current is 5 kmph , what time will he take to cover 90 metres ?",
"role": "user"
},
{
"content": "A man rows at 21 km/h in still water. If he rows downstream with a 5 km/h current, how long will it take to cover 90 meters?",
"role": "assistant"
}
] |
A man rows at 21 km/h in still water. If he rows downstream with a 5 km/h current, how long will it take to cover 90 meters?
|
the speed at which a man can row a boat in still water is 21 kmph . if he rows downstream , where the speed of current is 5 kmph , what time will he take to cover 90 metres ?
|
if a man lost 4 % by selling oranges at the rate of 48 a rupee at how many a rupee must he sell them to gain 44 % ?
|
[
{
"content": "if a man lost 4 % by selling oranges at the rate of 48 a rupee at how many a rupee must he sell them to gain 44 % ?",
"role": "user"
},
{
"content": "At what rate per rupee must the man sell the oranges to gain 44%, if selling at 48 a rupee results in a 4% loss?",
"role": "assistant"
}
] |
At what rate per rupee must the man sell the oranges to gain 44%, if selling at 48 a rupee results in a 4% loss?
|
if a man lost 4 % by selling oranges at the rate of 48 a rupee at how many a rupee must he sell them to gain 44 % ?
|
an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 28 metre of cloth ?
|
[
{
"content": "an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 28 metre of cloth ?",
"role": "user"
},
{
"content": "Approximately, how many seconds will it take for the loom to weave 28 metres of cloth at a rate of 0.128 metres per second ?",
"role": "assistant"
}
] |
Approximately, how many seconds will it take for the loom to weave 28 metres of cloth at a rate of 0.128 metres per second ?
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an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 28 metre of cloth ?
|
the radius of a circular wheel is 1.75 m , how many revolutions will it make in traveling 1 km ?
|
[
{
"content": "the radius of a circular wheel is 1.75 m , how many revolutions will it make in traveling 1 km ?",
"role": "user"
},
{
"content": "How many revolutions will a circular wheel with a 1.75 m radius make when traveling 1 km?",
"role": "assistant"
}
] |
How many revolutions will a circular wheel with a 1.75 m radius make when traveling 1 km?
|
the radius of a circular wheel is 1.75 m , how many revolutions will it make in traveling 1 km ?
|
a 340 - liter solution of kola is made from 88 % water , 5 % concentrated kola and the rest is made from sugar . if 4.2 liters of sugar , 10 liter of water and 6.8 liters of concentrated kola were added to the solution , what percent of the solution is made from sugar ?
|
[
{
"content": "a 340 - liter solution of kola is made from 88 % water , 5 % concentrated kola and the rest is made from sugar . if 4.2 liters of sugar , 10 liter of water and 6.8 liters of concentrated kola were added to the solution , what percent of the solution is made from sugar ?",
"role": "user"
},
{
"content": "A 340-liter kola solution is composed of 88% water, 5% concentrated kola, and the remaining portion is sugar. If 4.2 liters of sugar, 10 liters of water, and 6.8 liters of concentrated kola are added, what percentage of the solution is sugar?",
"role": "assistant"
}
] |
A 340-liter kola solution is composed of 88% water, 5% concentrated kola, and the remaining portion is sugar. If 4.2 liters of sugar, 10 liters of water, and 6.8 liters of concentrated kola are added, what percentage of the solution is sugar?
|
a 340 - liter solution of kola is made from 88 % water , 5 % concentrated kola and the rest is made from sugar . if 4.2 liters of sugar , 10 liter of water and 6.8 liters of concentrated kola were added to the solution , what percent of the solution is made from sugar ?
|
if the radius of a cylinder is doubled and so is the height , what is the new volume of the cylinder divided by the old one ?
|
[
{
"content": "if the radius of a cylinder is doubled and so is the height , what is the new volume of the cylinder divided by the old one ?",
"role": "user"
},
{
"content": "What is the ratio of the new volume to the original volume if both the radius and height of the cylinder are doubled ?",
"role": "assistant"
}
] |
What is the ratio of the new volume to the original volume if both the radius and height of the cylinder are doubled ?
|
if the radius of a cylinder is doubled and so is the height , what is the new volume of the cylinder divided by the old one ?
|
how many odd prime numbers are there less than 100 ?
|
[
{
"content": "how many odd prime numbers are there less than 100 ?",
"role": "user"
},
{
"content": "What is the number of odd prime numbers below 100 ?",
"role": "assistant"
}
] |
What is the number of odd prime numbers below 100 ?
|
how many odd prime numbers are there less than 100 ?
|
the average of first six multiples of 3 is
|
[
{
"content": "the average of first six multiples of 3 is",
"role": "user"
},
{
"content": "the average of the first six multiples of 3 is",
"role": "assistant"
}
] |
the average of the first six multiples of 3 is
|
the average of first six multiples of 3 is
|
the product of two numbers is 192 and the sum of these two numbers is 28 . what is the smaller of these two numbers ?
|
[
{
"content": "the product of two numbers is 192 and the sum of these two numbers is 28 . what is the smaller of these two numbers ?",
"role": "user"
},
{
"content": "Given two numbers with a product of 192 and a sum of 28, what is the smaller number?",
"role": "assistant"
}
] |
Given two numbers with a product of 192 and a sum of 28, what is the smaller number?
|
the product of two numbers is 192 and the sum of these two numbers is 28 . what is the smaller of these two numbers ?
|
oil is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour . if the empty rectangular tank is 9 feet long , 8 feet wide , and 5 feet deep , approximately how many hours does it take to fill the tank ?
|
[
{
"content": "oil is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour . if the empty rectangular tank is 9 feet long , 8 feet wide , and 5 feet deep , approximately how many hours does it take to fill the tank ?",
"role": "user"
},
{
"content": "At what rate will the tank be filled if oil is poured in at 4 cubic feet per hour, given the empty tank is 9 feet long, 8 feet wide, and 5 feet deep ?",
"role": "assistant"
}
] |
At what rate will the tank be filled if oil is poured in at 4 cubic feet per hour, given the empty tank is 9 feet long, 8 feet wide, and 5 feet deep ?
|
oil is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour . if the empty rectangular tank is 9 feet long , 8 feet wide , and 5 feet deep , approximately how many hours does it take to fill the tank ?
|
a trader purchased two colour televisions for a total of rs . 35000 . he sold one colour television at 30 % profit and the other 40 % profit . find the difference in the cost prices of the two televisions if he made an overall profit of 30 % ?
|
[
{
"content": "a trader purchased two colour televisions for a total of rs . 35000 . he sold one colour television at 30 % profit and the other 40 % profit . find the difference in the cost prices of the two televisions if he made an overall profit of 30 % ?",
"role": "user"
},
{
"content": "What is the difference in cost prices of the two colour televisions if a trader bought them for 35,000 rupees, sold one at a 30% profit and the other at a 40% profit, and made an overall 30% profit?",
"role": "assistant"
}
] |
What is the difference in cost prices of the two colour televisions if a trader bought them for 35,000 rupees, sold one at a 30% profit and the other at a 40% profit, and made an overall 30% profit?
|
a trader purchased two colour televisions for a total of rs . 35000 . he sold one colour television at 30 % profit and the other 40 % profit . find the difference in the cost prices of the two televisions if he made an overall profit of 30 % ?
|
the speed of a boat in still water in 37 km / hr and the rate of current is 13 km / hr . the distance travelled downstream in 10 minutes is :
|
[
{
"content": "the speed of a boat in still water in 37 km / hr and the rate of current is 13 km / hr . the distance travelled downstream in 10 minutes is :",
"role": "user"
},
{
"content": "What distance does the boat travel downstream in 10 minutes when its speed in still water is 37 km/hr and the current rate is 13 km/hr?",
"role": "assistant"
}
] |
What distance does the boat travel downstream in 10 minutes when its speed in still water is 37 km/hr and the current rate is 13 km/hr?
|
the speed of a boat in still water in 37 km / hr and the rate of current is 13 km / hr . the distance travelled downstream in 10 minutes is :
|
a train 600 m long can cross an electric pole in 20 sec and then find the speed of the train ?
|
[
{
"content": "a train 600 m long can cross an electric pole in 20 sec and then find the speed of the train ?",
"role": "user"
},
{
"content": "What is the speed of a 600 m long train that can cross an electric pole in 20 seconds?",
"role": "assistant"
}
] |
What is the speed of a 600 m long train that can cross an electric pole in 20 seconds?
|
a train 600 m long can cross an electric pole in 20 sec and then find the speed of the train ?
|
the average of 30 numbers is 25 . if each number is multiplied by 5 , find the new average ?
|
[
{
"content": "the average of 30 numbers is 25 . if each number is multiplied by 5 , find the new average ?",
"role": "user"
},
{
"content": "What is the new average when the 30 numbers with an average of 25 are multiplied by 5 ?",
"role": "assistant"
}
] |
What is the new average when the 30 numbers with an average of 25 are multiplied by 5 ?
|
the average of 30 numbers is 25 . if each number is multiplied by 5 , find the new average ?
|
√ ( 21 ) ^ 2
|
[
{
"content": "√ ( 21 ) ^ 2",
"role": "user"
},
{
"content": "The square root of 21 squared.",
"role": "assistant"
}
] |
The square root of 21 squared.
|
√ ( 21 ) ^ 2
|
a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 798 find the share of a .
|
[
{
"content": "a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 798 find the share of a .",
"role": "user"
},
{
"content": "A and B started a business with initial investments of Rs. 3000 and Rs. 4000, respectively. After 8 months, A withdrew Rs. 1000, while B added Rs. 1000. At the end of the year, their total profit was Rs. 798. What is A's share of the profit?",
"role": "assistant"
}
] |
A and B started a business with initial investments of Rs. 3000 and Rs. 4000, respectively. After 8 months, A withdrew Rs. 1000, while B added Rs. 1000. At the end of the year, their total profit was Rs. 798. What is A's share of the profit?
|
a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 798 find the share of a .
|
an investor can sell her microtron stock for 36 $ per share and her dynaco stock for 68 $ per share , if she sells 300 shares altogether , some of each stock , at an average price per share of 40 $ , how many shares of dynaco stock has she sold ?
|
[
{
"content": "an investor can sell her microtron stock for 36 $ per share and her dynaco stock for 68 $ per share , if she sells 300 shares altogether , some of each stock , at an average price per share of 40 $ , how many shares of dynaco stock has she sold ?",
"role": "user"
},
{
"content": "How many shares of Dynaco stock did she sell if she sold 300 shares of Microtron and Dynaco stock combined at an average price of $40 per share, with Microtron selling at $36 per share and Dynaco at $68 per share?",
"role": "assistant"
}
] |
How many shares of Dynaco stock did she sell if she sold 300 shares of Microtron and Dynaco stock combined at an average price of $40 per share, with Microtron selling at $36 per share and Dynaco at $68 per share?
|
an investor can sell her microtron stock for 36 $ per share and her dynaco stock for 68 $ per share , if she sells 300 shares altogether , some of each stock , at an average price per share of 40 $ , how many shares of dynaco stock has she sold ?
|
the speed of a boat in still water is 15 km / hr and the rate of the current is 3 km / hr . the distance travelled downstream in 12 minutes is
|
[
{
"content": "the speed of a boat in still water is 15 km / hr and the rate of the current is 3 km / hr . the distance travelled downstream in 12 minutes is",
"role": "user"
},
{
"content": "the speed of the boat in still water is 15 km / hr and the speed of the current is 3 km / hr . the distance travelled downstream in 12 minutes is",
"role": "assistant"
}
] |
the speed of the boat in still water is 15 km / hr and the speed of the current is 3 km / hr . the distance travelled downstream in 12 minutes is
|
the speed of a boat in still water is 15 km / hr and the rate of the current is 3 km / hr . the distance travelled downstream in 12 minutes is
|
a certain animal in the zoo has consumed 39 pounds of food in 6 days . if it continues to eat at the same rate , in how many more days will its total consumption be 117 pounds ?
|
[
{
"content": "a certain animal in the zoo has consumed 39 pounds of food in 6 days . if it continues to eat at the same rate , in how many more days will its total consumption be 117 pounds ?",
"role": "user"
},
{
"content": "At what rate will the animal's total food consumption reach 117 pounds, given it already ate 39 pounds in 6 days and continues eating at the same rate?",
"role": "assistant"
}
] |
At what rate will the animal's total food consumption reach 117 pounds, given it already ate 39 pounds in 6 days and continues eating at the same rate?
|
a certain animal in the zoo has consumed 39 pounds of food in 6 days . if it continues to eat at the same rate , in how many more days will its total consumption be 117 pounds ?
|
the length of a rectangular floor is more than its breadth by 200 % . if rs . 441 is required to paint the floor at the rate of rs . 3 / sq m , what would be the length of the floor ?
|
[
{
"content": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 441 is required to paint the floor at the rate of rs . 3 / sq m , what would be the length of the floor ?",
"role": "user"
},
{
"content": "If a rectangular floor's length exceeds its breadth by 200%, and painting it costs Rs. 441 at Rs. 3/sq m, what is the length of the floor?",
"role": "assistant"
}
] |
If a rectangular floor's length exceeds its breadth by 200%, and painting it costs Rs. 441 at Rs. 3/sq m, what is the length of the floor?
|
the length of a rectangular floor is more than its breadth by 200 % . if rs . 441 is required to paint the floor at the rate of rs . 3 / sq m , what would be the length of the floor ?
|
in a class of 42 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 10 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ?
|
[
{
"content": "in a class of 42 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 10 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ?",
"role": "user"
},
{
"content": "In a class of 42 students, where 2 borrowed no books, 12 borrowed 1 book, and 10 borrowed 2 books, with the rest borrowing 3 or more, and the average being 2 books per student, what's the highest number of books one student could have borrowed?",
"role": "assistant"
}
] |
In a class of 42 students, where 2 borrowed no books, 12 borrowed 1 book, and 10 borrowed 2 books, with the rest borrowing 3 or more, and the average being 2 books per student, what's the highest number of books one student could have borrowed?
|
in a class of 42 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 10 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ?
|
a set of consecutive positive integers beginning with 1 is written on the blackboard . a student came along and erased one number . the average of the remaining numbers is 35 * 7 / 17 . what was the number erased ?
|
[
{
"content": "a set of consecutive positive integers beginning with 1 is written on the blackboard . a student came along and erased one number . the average of the remaining numbers is 35 * 7 / 17 . what was the number erased ?",
"role": "user"
},
{
"content": "What number was erased from the consecutive integers starting with 1, given that the average of the remaining numbers is 35 * 7 / 17?",
"role": "assistant"
}
] |
What number was erased from the consecutive integers starting with 1, given that the average of the remaining numbers is 35 * 7 / 17?
|
a set of consecutive positive integers beginning with 1 is written on the blackboard . a student came along and erased one number . the average of the remaining numbers is 35 * 7 / 17 . what was the number erased ?
|
find the number which is nearest to 3105 and is exactly divisible by 21 ?
|
[
{
"content": "find the number which is nearest to 3105 and is exactly divisible by 21 ?",
"role": "user"
},
{
"content": "What number closest to 3105 is a multiple of 21 ?",
"role": "assistant"
}
] |
What number closest to 3105 is a multiple of 21 ?
|
find the number which is nearest to 3105 and is exactly divisible by 21 ?
|
the lengths of the diagonals of a rhombus are 20 and 48 meters . find the perimeter of the rhombus ?
|
[
{
"content": "the lengths of the diagonals of a rhombus are 20 and 48 meters . find the perimeter of the rhombus ?",
"role": "user"
},
{
"content": "What is the perimeter of a rhombus with diagonals measuring 20 and 48 meters?",
"role": "assistant"
}
] |
What is the perimeter of a rhombus with diagonals measuring 20 and 48 meters?
|
the lengths of the diagonals of a rhombus are 20 and 48 meters . find the perimeter of the rhombus ?
|
cp of 3 buffaloes are $ 30,000 . by selling 1 at a loss of 15 % and other at a profit of 19 % , he foundthat sp of both buffaloes is the same . find the cp of each ?
|
[
{
"content": "cp of 3 buffaloes are $ 30,000 . by selling 1 at a loss of 15 % and other at a profit of 19 % , he foundthat sp of both buffaloes is the same . find the cp of each ?",
"role": "user"
},
{
"content": "The cost price of 3 buffaloes is $30,000. If 1 is sold at a 15% loss and the other at a 19% profit, yet both have the same selling price, what is the cost price of each buffalo?",
"role": "assistant"
}
] |
The cost price of 3 buffaloes is $30,000. If 1 is sold at a 15% loss and the other at a 19% profit, yet both have the same selling price, what is the cost price of each buffalo?
|
cp of 3 buffaloes are $ 30,000 . by selling 1 at a loss of 15 % and other at a profit of 19 % , he foundthat sp of both buffaloes is the same . find the cp of each ?
|
a courtyard is 21 meter long and 14 meter board is to be paved with bricks of dimensions 14 cm by 8 cm . the total number of bricks required is :
|
[
{
"content": "a courtyard is 21 meter long and 14 meter board is to be paved with bricks of dimensions 14 cm by 8 cm . the total number of bricks required is :",
"role": "user"
},
{
"content": "What is the total number of bricks needed to pave a 21m long and 14m wide courtyard with 14cm by 8cm bricks?",
"role": "assistant"
}
] |
What is the total number of bricks needed to pave a 21m long and 14m wide courtyard with 14cm by 8cm bricks?
|
a courtyard is 21 meter long and 14 meter board is to be paved with bricks of dimensions 14 cm by 8 cm . the total number of bricks required is :
|
the average age of students of a class is 15.8 years . the average age of boys in the class is 16.3 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is ?
|
[
{
"content": "the average age of students of a class is 15.8 years . the average age of boys in the class is 16.3 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is ?",
"role": "user"
},
{
"content": "What is the ratio of boys to girls in the class.",
"role": "assistant"
}
] |
What is the ratio of boys to girls in the class.
|
the average age of students of a class is 15.8 years . the average age of boys in the class is 16.3 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is ?
|
if a ( a - 8 ) = 9 and b ( b - 8 ) = 9 , where a ≠ b , then a + b =
|
[
{
"content": "if a ( a - 8 ) = 9 and b ( b - 8 ) = 9 , where a ≠ b , then a + b =",
"role": "user"
},
{
"content": "If a(a - 8) = 9 and b(b - 8) = 9, where a is not equal to b, then what is a + b?",
"role": "assistant"
}
] |
If a(a - 8) = 9 and b(b - 8) = 9, where a is not equal to b, then what is a + b?
|
if a ( a - 8 ) = 9 and b ( b - 8 ) = 9 , where a ≠ b , then a + b =
|
how many positive integers less than 253 are multiple of 4 but not multiples of 6 ?
|
[
{
"content": "how many positive integers less than 253 are multiple of 4 but not multiples of 6 ?",
"role": "user"
},
{
"content": "What is the count of positive integers less than 253 that are divisible by 4 but not by 6?",
"role": "assistant"
}
] |
What is the count of positive integers less than 253 that are divisible by 4 but not by 6?
|
how many positive integers less than 253 are multiple of 4 but not multiples of 6 ?
|
two carpenters , working in the same pace , can build 2 desks in two hours and a half . how many desks can 4 carpenters build in 2 hours ?
|
[
{
"content": "two carpenters , working in the same pace , can build 2 desks in two hours and a half . how many desks can 4 carpenters build in 2 hours ?",
"role": "user"
},
{
"content": "two carpenters working at the same pace can build 2 desks in 2.5 hours . how many desks can four carpenters build in 2 hours ?",
"role": "assistant"
}
] |
two carpenters working at the same pace can build 2 desks in 2.5 hours . how many desks can four carpenters build in 2 hours ?
|
two carpenters , working in the same pace , can build 2 desks in two hours and a half . how many desks can 4 carpenters build in 2 hours ?
|
a is twice as good a work man as b and together they finish a piece of work in 14 days . the number of days taken by a alone to finish the work is :
|
[
{
"content": "a is twice as good a work man as b and together they finish a piece of work in 14 days . the number of days taken by a alone to finish the work is :",
"role": "user"
},
{
"content": "If a is twice as skilled as b and together they complete a task in 14 days, how many days will a take to finish the work alone?",
"role": "assistant"
}
] |
If a is twice as skilled as b and together they complete a task in 14 days, how many days will a take to finish the work alone?
|
a is twice as good a work man as b and together they finish a piece of work in 14 days . the number of days taken by a alone to finish the work is :
|
one night a certain hotel rented 2 / 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 2 / 5 of its rooms , including 2 / 3 of their air conditioned rooms . if 3 / 5 of its rooms were air conditioned , what percent of the rooms that were not rented were air conditioned ?",
"role": "user"
},
{
"content": "What percentage of the unrented rooms were air conditioned if a hotel rented 2/5 of its rooms, including 2/3 of its air-conditioned rooms, given that 3/5 of the rooms were air conditioned?",
"role": "assistant"
}
] |
What percentage of the unrented rooms were air conditioned if a hotel rented 2/5 of its rooms, including 2/3 of its air-conditioned rooms, given that 3/5 of the rooms were air conditioned?
|
one night a certain hotel rented 2 / 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 ?
|
johnny travels a total of one hour to and from school . on the way there he jogs at 6 miles per hour and on the return trip he gets picked up by the bus and returns home at 20 miles per hour . how far is it to the school ?
|
[
{
"content": "johnny travels a total of one hour to and from school . on the way there he jogs at 6 miles per hour and on the return trip he gets picked up by the bus and returns home at 20 miles per hour . how far is it to the school ?",
"role": "user"
},
{
"content": "What is the distance to the school?",
"role": "assistant"
}
] |
What is the distance to the school?
|
johnny travels a total of one hour to and from school . on the way there he jogs at 6 miles per hour and on the return trip he gets picked up by the bus and returns home at 20 miles per hour . how far is it to the school ?
|
a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is four times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is quartered by water evaporation . at that time , what is the ratio of water to salt in the solution ?
|
[
{
"content": "a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is four times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is quartered by water evaporation . at that time , what is the ratio of water to salt in the solution ?",
"role": "user"
},
{
"content": "In the original bottle, the solution contains water, soap, and salt with the ratio of water to soap being 3:2 and the ratio of soap to salt being four times that. After the solution is poured into an open container and water evaporates, reducing the water-to-soap ratio to a quarter of its original value, what will be the resulting water-to-salt ratio?",
"role": "assistant"
}
] |
In the original bottle, the solution contains water, soap, and salt with the ratio of water to soap being 3:2 and the ratio of soap to salt being four times that. After the solution is poured into an open container and water evaporates, reducing the water-to-soap ratio to a quarter of its original value, what will be the resulting water-to-salt ratio?
|
a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is four times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is quartered by water evaporation . at that time , what is the ratio of water to salt in the solution ?
|
during the first two weeks of june , the total rainfall in springdale was 40 inches . if the rainfall during the second week was 1.5 times the rainfall during the first week , what was the rainfall in inches during the second week of june ?
|
[
{
"content": "during the first two weeks of june , the total rainfall in springdale was 40 inches . if the rainfall during the second week was 1.5 times the rainfall during the first week , what was the rainfall in inches during the second week of june ?",
"role": "user"
},
{
"content": "What was the rainfall in Springdale during the second week of June if 1.5 times the rainfall of the first week was added to it, given that the total rainfall in the first two weeks of June was 40 inches.",
"role": "assistant"
}
] |
What was the rainfall in Springdale during the second week of June if 1.5 times the rainfall of the first week was added to it, given that the total rainfall in the first two weeks of June was 40 inches.
|
during the first two weeks of june , the total rainfall in springdale was 40 inches . if the rainfall during the second week was 1.5 times the rainfall during the first week , what was the rainfall in inches during the second week of june ?
|
the owner of a furniture shop charges his customer 18 % more than the cost price . if a customer paid rs . 6000 for a computer table , then what was the cost price of the computer table ?
|
[
{
"content": "the owner of a furniture shop charges his customer 18 % more than the cost price . if a customer paid rs . 6000 for a computer table , then what was the cost price of the computer table ?",
"role": "user"
},
{
"content": "What was the cost price of the computer table if a customer paid Rs. 6000, which is 18% more than the cost price charged by the furniture shop owner?",
"role": "assistant"
}
] |
What was the cost price of the computer table if a customer paid Rs. 6000, which is 18% more than the cost price charged by the furniture shop owner?
|
the owner of a furniture shop charges his customer 18 % more than the cost price . if a customer paid rs . 6000 for a computer table , then what was the cost price of the computer table ?
|
find the simple interest on $ 10000 at 7 % per annum for 12 months ?
|
[
{
"content": "find the simple interest on $ 10000 at 7 % per annum for 12 months ?",
"role": "user"
},
{
"content": "What is the simple interest on a $10000 investment at an annual rate of 7% for a year?",
"role": "assistant"
}
] |
What is the simple interest on a $10000 investment at an annual rate of 7% for a year?
|
find the simple interest on $ 10000 at 7 % per annum for 12 months ?
|
two men and 7 children complete a certain piece of work in 4 days while 4 men and 4 children complete the same work in only 3 days . the number of days required by 1 man to complete the work is
|
[
{
"content": "two men and 7 children complete a certain piece of work in 4 days while 4 men and 4 children complete the same work in only 3 days . the number of days required by 1 man to complete the work is",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nTwo men and 7 children can complete a task in 4 days, whereas 4 men and 4 children can finish the same task in just 3 days. How many days would it take for 1 man to complete the work?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
Two men and 7 children can complete a task in 4 days, whereas 4 men and 4 children can finish the same task in just 3 days. How many days would it take for 1 man to complete the work?
|
two men and 7 children complete a certain piece of work in 4 days while 4 men and 4 children complete the same work in only 3 days . the number of days required by 1 man to complete the work is
|
a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 15 % . what was its profit on the items sold in february ?
|
[
{
"content": "a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 15 % . what was its profit on the items sold in february ?",
"role": "user"
},
{
"content": "What was the profit margin for the turtleneck sweaters sold in February after the store increased the price by 20% initially, then by another 25%, and finally offered a 15% discount?",
"role": "assistant"
}
] |
What was the profit margin for the turtleneck sweaters sold in February after the store increased the price by 20% initially, then by another 25%, and finally offered a 15% discount?
|
a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 15 % . what was its profit on the items sold in february ?
|
the total surface area of a solid hemisphere of diameter 14 cm , is :
|
[
{
"content": "the total surface area of a solid hemisphere of diameter 14 cm , is :",
"role": "user"
},
{
"content": "the total surface area of a solid hemisphere with a diameter of 14 cm is :",
"role": "assistant"
}
] |
the total surface area of a solid hemisphere with a diameter of 14 cm is :
|
the total surface area of a solid hemisphere of diameter 14 cm , is :
|
a certain company ’ s profit in 1996 was 25 percent greater than its profit in 1995 , and its profit in 1997 was 30 percent greater than its profit in 1996 . the company ’ s profit in 1997 was what percent greater than its profit in 1995 ?
|
[
{
"content": "a certain company ’ s profit in 1996 was 25 percent greater than its profit in 1995 , and its profit in 1997 was 30 percent greater than its profit in 1996 . the company ’ s profit in 1997 was what percent greater than its profit in 1995 ?",
"role": "user"
},
{
"content": "By what percent did the company's profit in 1997 exceed its profit in 1995?",
"role": "assistant"
}
] |
By what percent did the company's profit in 1997 exceed its profit in 1995?
|
a certain company ’ s profit in 1996 was 25 percent greater than its profit in 1995 , and its profit in 1997 was 30 percent greater than its profit in 1996 . the company ’ s profit in 1997 was what percent greater than its profit in 1995 ?
|
15 lts are taken of from a container full of liquid a and replaced with liquid b . again 15 more lts of the mixture is taken and replaced with liquid b . after this process , if the container contains liquid a and b in the ratio 9 : 16 , what is the capacity of the container h ?
|
[
{
"content": "15 lts are taken of from a container full of liquid a and replaced with liquid b . again 15 more lts of the mixture is taken and replaced with liquid b . after this process , if the container contains liquid a and b in the ratio 9 : 16 , what is the capacity of the container h ?",
"role": "user"
},
{
"content": "In a container initially filled with liquid A, 15 liters are removed and replaced with liquid B, then the process is repeated; if the resulting ratio of A to B is 9:16, what is the container's capacity H?",
"role": "assistant"
}
] |
In a container initially filled with liquid A, 15 liters are removed and replaced with liquid B, then the process is repeated; if the resulting ratio of A to B is 9:16, what is the container's capacity H?
|
15 lts are taken of from a container full of liquid a and replaced with liquid b . again 15 more lts of the mixture is taken and replaced with liquid b . after this process , if the container contains liquid a and b in the ratio 9 : 16 , what is the capacity of the container h ?
|
after decreasing 90 % in the price of an article costs rs . 320 . find the actual cost of an article ?
|
[
{
"content": "after decreasing 90 % in the price of an article costs rs . 320 . find the actual cost of an article ?",
"role": "user"
},
{
"content": "What is the original price of the article that now costs Rs. 320 after a 90% decrease?",
"role": "assistant"
}
] |
What is the original price of the article that now costs Rs. 320 after a 90% decrease?
|
after decreasing 90 % in the price of an article costs rs . 320 . find the actual cost of an article ?
|
the perimeter of a triangle is 44 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ?
|
[
{
"content": "the perimeter of a triangle is 44 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ?",
"role": "user"
},
{
"content": "Given a triangle's perimeter of 44 cm and an inradius of 2.5 cm, what is its area?",
"role": "assistant"
}
] |
Given a triangle's perimeter of 44 cm and an inradius of 2.5 cm, what is its area?
|
the perimeter of a triangle is 44 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ?
|
what will be the fraction of 50 %
|
[
{
"content": "what will be the fraction of 50 %",
"role": "user"
},
{
"content": "what is the fraction of fifty percent",
"role": "assistant"
}
] |
what is the fraction of fifty percent
|
what will be the fraction of 50 %
|
if 0.45 : x : : 4 : 2 , then x is equal to
|
[
{
"content": "if 0.45 : x : : 4 : 2 , then x is equal to",
"role": "user"
},
{
"content": "To solve this proportion, we can set up an equation. \n\n0.45/x = 4/2\n\nWe can cross multiply.\n\n0.45 * 2 = 4x\n\n0.9 = 4x\n\nDividing both sides by 4.\n\n0.225 = x",
"role": "assistant"
}
] |
To solve this proportion, we can set up an equation.
0.45/x = 4/2
We can cross multiply.
0.45 * 2 = 4x
0.9 = 4x
Dividing both sides by 4.
0.225 = x
|
if 0.45 : x : : 4 : 2 , then x is equal to
|
a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability e that both selected dogs are not littermates ?
|
[
{
"content": "a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability e that both selected dogs are not littermates ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nA dog breeder owns 9 breeding dogs, with 6 having 1 littermate each and 3 having 2 littermates each. What's the probability that two randomly chosen dogs aren't littermates?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
A dog breeder owns 9 breeding dogs, with 6 having 1 littermate each and 3 having 2 littermates each. What's the probability that two randomly chosen dogs aren't littermates?
|
a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability e that both selected dogs are not littermates ?
|
if 0.75 : x : : 5 : 12 , then x is equal to :
|
[
{
"content": "if 0.75 : x : : 5 : 12 , then x is equal to :",
"role": "user"
},
{
"content": "To find x, we can set up a proportion: 0.75/x = 5/12.",
"role": "assistant"
}
] |
To find x, we can set up a proportion: 0.75/x = 5/12.
|
if 0.75 : x : : 5 : 12 , then x is equal to :
|
the average age of 32 students in a group is 14 years . when teacher â € ™ s age is included to it , the average increases by one . what is the teacher â € ™ s age in years ?
|
[
{
"content": "the average age of 32 students in a group is 14 years . when teacher â € ™ s age is included to it , the average increases by one . what is the teacher â € ™ s age in years ?",
"role": "user"
},
{
"content": "How old is the teacher in years",
"role": "assistant"
}
] |
How old is the teacher in years
|
the average age of 32 students in a group is 14 years . when teacher â € ™ s age is included to it , the average increases by one . what is the teacher â € ™ s age in years ?
|
two employees x and y are paid a total of rs . 650 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?
|
[
{
"content": "two employees x and y are paid a total of rs . 650 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?",
"role": "user"
},
{
"content": "What is y's weekly pay if employees x and y have a combined weekly salary of Rs. 650, with x earning 120% of y's pay?",
"role": "assistant"
}
] |
What is y's weekly pay if employees x and y have a combined weekly salary of Rs. 650, with x earning 120% of y's pay?
|
two employees x and y are paid a total of rs . 650 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?
|
the average speed of a car is 1 3 / 5 times the avg speed of a bike . a tractor covers 575 km in 23 hrs . how much distance will the car cover in 4 hrs if the speed of the bike is twice speed of the tractor ?
|
[
{
"content": "the average speed of a car is 1 3 / 5 times the avg speed of a bike . a tractor covers 575 km in 23 hrs . how much distance will the car cover in 4 hrs if the speed of the bike is twice speed of the tractor ?",
"role": "user"
},
{
"content": "What distance will the car cover in 4 hours if a tractor travels 575 km in 23 hours and the bike's speed is double that of the tractor, given the car's average speed is 1 3 / 5 times the bike's average speed?",
"role": "assistant"
}
] |
What distance will the car cover in 4 hours if a tractor travels 575 km in 23 hours and the bike's speed is double that of the tractor, given the car's average speed is 1 3 / 5 times the bike's average speed?
|
the average speed of a car is 1 3 / 5 times the avg speed of a bike . a tractor covers 575 km in 23 hrs . how much distance will the car cover in 4 hrs if the speed of the bike is twice speed of the tractor ?
|
a certain university will select 1 of 8 candidates eligible to fill a position in the mathematics department and 2 of 12 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?
|
[
{
"content": "a certain university will select 1 of 8 candidates eligible to fill a position in the mathematics department and 2 of 12 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?",
"role": "user"
},
{
"content": "How many different combinations of 3 candidates can be chosen to fill the 3 positions, given that 1 of 8 candidates will be selected for the math department and 2 of 12 candidates will be selected for the computer science department, with no candidate eligible for both departments?",
"role": "assistant"
}
] |
How many different combinations of 3 candidates can be chosen to fill the 3 positions, given that 1 of 8 candidates will be selected for the math department and 2 of 12 candidates will be selected for the computer science department, with no candidate eligible for both departments?
|
a certain university will select 1 of 8 candidates eligible to fill a position in the mathematics department and 2 of 12 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?
|
which number need to add to 859622 to get a number exactly divisible by 456 ?
|
[
{
"content": "which number need to add to 859622 to get a number exactly divisible by 456 ?",
"role": "user"
},
{
"content": "What number must be added to 859622 to make it divisible by 456 ?",
"role": "assistant"
}
] |
What number must be added to 859622 to make it divisible by 456 ?
|
which number need to add to 859622 to get a number exactly divisible by 456 ?
|
in a factory , there are 40 % technicians and 60 % non - technicians . if the 60 % of the technicians and 40 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?
|
[
{
"content": "in a factory , there are 40 % technicians and 60 % non - technicians . if the 60 % of the technicians and 40 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?",
"role": "user"
},
{
"content": "In a factory, 40% are technicians and 60% are non-technicians. If 60% of the technicians and 40% of the non-technicians are permanent employees, what percentage of workers are temporary?",
"role": "assistant"
}
] |
In a factory, 40% are technicians and 60% are non-technicians. If 60% of the technicians and 40% of the non-technicians are permanent employees, what percentage of workers are temporary?
|
in a factory , there are 40 % technicians and 60 % non - technicians . if the 60 % of the technicians and 40 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?
|
a can do a work in 8 days . b can do the same work in 4 days . both a & b together will finish the work and they got $ 1000 from that work . find their shares ?
|
[
{
"content": "a can do a work in 8 days . b can do the same work in 4 days . both a & b together will finish the work and they got $ 1000 from that work . find their shares ?",
"role": "user"
},
{
"content": "What are the shares of A and B, who together completed a job in 8 and 4 days respectively, for which they received $1000?",
"role": "assistant"
}
] |
What are the shares of A and B, who together completed a job in 8 and 4 days respectively, for which they received $1000?
|
a can do a work in 8 days . b can do the same work in 4 days . both a & b together will finish the work and they got $ 1000 from that work . find their shares ?
|
harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg . how much amount did he pay to the shopkeeper ?
|
[
{
"content": "harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg . how much amount did he pay to the shopkeeper ?",
"role": "user"
},
{
"content": "What amount did Harkamal pay to the shopkeeper for 8 kg of grapes at 70 per kg and 9 kg of mangoes at 75 per kg?",
"role": "assistant"
}
] |
What amount did Harkamal pay to the shopkeeper for 8 kg of grapes at 70 per kg and 9 kg of mangoes at 75 per kg?
|
harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg . how much amount did he pay to the shopkeeper ?
|
if the area of a square with sides of length 11 centimeters is equal to the area of a rectangle with a width of 11 centimeters , what is the length of the rectangle , in centimeters ?
|
[
{
"content": "if the area of a square with sides of length 11 centimeters is equal to the area of a rectangle with a width of 11 centimeters , what is the length of the rectangle , in centimeters ?",
"role": "user"
},
{
"content": "What is the length, in centimeters, of a rectangle with a width of 11 centimeters if its area is equal to that of a square with 11-centimeter sides ?",
"role": "assistant"
}
] |
What is the length, in centimeters, of a rectangle with a width of 11 centimeters if its area is equal to that of a square with 11-centimeter sides ?
|
if the area of a square with sides of length 11 centimeters is equal to the area of a rectangle with a width of 11 centimeters , what is the length of the rectangle , in centimeters ?
|
tanks p and b are each in the shape of a right circular cylinder . the interior of tank p has a height of 10 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank p is what percent of the capacity of tank b ?
|
[
{
"content": "tanks p and b are each in the shape of a right circular cylinder . the interior of tank p has a height of 10 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank p is what percent of the capacity of tank b ?",
"role": "user"
},
{
"content": "What percentage of tank B's capacity is tank P's capacity?",
"role": "assistant"
}
] |
What percentage of tank B's capacity is tank P's capacity?
|
tanks p and b are each in the shape of a right circular cylinder . the interior of tank p has a height of 10 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank p is what percent of the capacity of tank b ?
|
x and y are both integers . if x / y = 59.40 , then what is the sum of all the possible two digit remainders of x / y ?
|
[
{
"content": "x and y are both integers . if x / y = 59.40 , then what is the sum of all the possible two digit remainders of x / y ?",
"role": "user"
},
{
"content": "If x and y are integers and x/y equals 59.40, what is the sum of all the possible two-digit remainders when x is divided by y?",
"role": "assistant"
}
] |
If x and y are integers and x/y equals 59.40, what is the sum of all the possible two-digit remainders when x is divided by y?
|
x and y are both integers . if x / y = 59.40 , then what is the sum of all the possible two digit remainders of x / y ?
|
last month , john rejected 0.5 % of the products that he inspected and jane rejected 1.00 percent of the products that she inspected . if total of 0.75 percent of the products produced last month were rejected , what fraction of the products did jane inspect ?
|
[
{
"content": "last month , john rejected 0.5 % of the products that he inspected and jane rejected 1.00 percent of the products that she inspected . if total of 0.75 percent of the products produced last month were rejected , what fraction of the products did jane inspect ?",
"role": "user"
},
{
"content": "What fraction of the products did Jane inspect, given that John rejected 0.5% and she rejected 1.00% of the products they inspected, with an overall rejection rate of 0.75%?",
"role": "assistant"
}
] |
What fraction of the products did Jane inspect, given that John rejected 0.5% and she rejected 1.00% of the products they inspected, with an overall rejection rate of 0.75%?
|
last month , john rejected 0.5 % of the products that he inspected and jane rejected 1.00 percent of the products that she inspected . if total of 0.75 percent of the products produced last month were rejected , what fraction of the products did jane inspect ?
|
what quantity of water should be added to reduce 20 liters of 80 % acidic liquid to 20 % acidic liquid ?
|
[
{
"content": "what quantity of water should be added to reduce 20 liters of 80 % acidic liquid to 20 % acidic liquid ?",
"role": "user"
},
{
"content": "To dilute 20 liters of 80% acidic liquid to 20%, what amount of water needs to be added ?",
"role": "assistant"
}
] |
To dilute 20 liters of 80% acidic liquid to 20%, what amount of water needs to be added ?
|
what quantity of water should be added to reduce 20 liters of 80 % acidic liquid to 20 % acidic liquid ?
|
if the compound interest on a certain sum of money for 5 years at 10 % per annum be rs . 993 , what would be the simple interest ?
|
[
{
"content": "if the compound interest on a certain sum of money for 5 years at 10 % per annum be rs . 993 , what would be the simple interest ?",
"role": "user"
},
{
"content": "What would be the simple interest on a certain amount of money for 5 years at 10% per annum if the compound interest is Rs. 993?",
"role": "assistant"
}
] |
What would be the simple interest on a certain amount of money for 5 years at 10% per annum if the compound interest is Rs. 993?
|
if the compound interest on a certain sum of money for 5 years at 10 % per annum be rs . 993 , what would be the simple interest ?
|
the percentage profit earned by selling an article for rs . 1620 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?
|
[
{
"content": "the percentage profit earned by selling an article for rs . 1620 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?",
"role": "user"
},
{
"content": "At what price should the article be sold to make a 25% profit, given that selling it for Rs. 1620 yields the same percentage profit as selling it for Rs. 1280 results in a percentage loss?",
"role": "assistant"
}
] |
At what price should the article be sold to make a 25% profit, given that selling it for Rs. 1620 yields the same percentage profit as selling it for Rs. 1280 results in a percentage loss?
|
the percentage profit earned by selling an article for rs . 1620 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?
|
a trader bought a car at 25 % discount on its original price . he sold it at a 40 % 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 25 % discount on its original price . he sold it at a 40 % increase on the price he bought it . what percent of profit did he make on the original price ?",
"role": "user"
},
{
"content": "A trader purchased a car with a 25% discount from its original price and then sold it for 40% more than he paid. What was his profit percentage based on the original price?",
"role": "assistant"
}
] |
A trader purchased a car with a 25% discount from its original price and then sold it for 40% more than he paid. What was his profit percentage based on the original price?
|
a trader bought a car at 25 % discount on its original price . he sold it at a 40 % increase on the price he bought it . what percent of profit did he make on the original price ?
|
a 750 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?
|
[
{
"content": "a 750 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?",
"role": "user"
},
{
"content": "The length of the platform is what, when a 750 m long train takes 39 sec to cross it and 18 sec to cross a signal pole?",
"role": "assistant"
}
] |
The length of the platform is what, when a 750 m long train takes 39 sec to cross it and 18 sec to cross a signal pole?
|
a 750 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?
|
john bought a total of 20 mangoes and oranges . each mango costs 80 cents and each orange costs 60 cents . if the average price of the 20 mangoes and oranges that john originally purchased was 65 cents , then how many oranges needs to return to raise the average price of his purchase to 72 cents ?
|
[
{
"content": "john bought a total of 20 mangoes and oranges . each mango costs 80 cents and each orange costs 60 cents . if the average price of the 20 mangoes and oranges that john originally purchased was 65 cents , then how many oranges needs to return to raise the average price of his purchase to 72 cents ?",
"role": "user"
},
{
"content": "To raise the average price to 72 cents, how many oranges must John return from the 20 mangoes and oranges he originally purchased, given that mangoes cost 80 cents, oranges cost 60 cents, and the original average price was 65 cents?",
"role": "assistant"
}
] |
To raise the average price to 72 cents, how many oranges must John return from the 20 mangoes and oranges he originally purchased, given that mangoes cost 80 cents, oranges cost 60 cents, and the original average price was 65 cents?
|
john bought a total of 20 mangoes and oranges . each mango costs 80 cents and each orange costs 60 cents . if the average price of the 20 mangoes and oranges that john originally purchased was 65 cents , then how many oranges needs to return to raise the average price of his purchase to 72 cents ?
|
a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 10 days starting with sunday is
|
[
{
"content": "a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 10 days starting with sunday is",
"role": "user"
},
{
"content": "In a 10-day month starting with Sunday, what is the average number of library visitors, given Sundays attract 510 and other days 240 visitors?",
"role": "assistant"
}
] |
In a 10-day month starting with Sunday, what is the average number of library visitors, given Sundays attract 510 and other days 240 visitors?
|
a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 10 days starting with sunday is
|
when a certain number x is divided by 54 , the remainder is 22 . what is the remainder when x is divided by 18 ?
|
[
{
"content": "when a certain number x is divided by 54 , the remainder is 22 . what is the remainder when x is divided by 18 ?",
"role": "user"
},
{
"content": "If a number x divided by 54 leaves a remainder of 22, what is the remainder when x is divided by 18?",
"role": "assistant"
}
] |
If a number x divided by 54 leaves a remainder of 22, what is the remainder when x is divided by 18?
|
when a certain number x is divided by 54 , the remainder is 22 . what is the remainder when x is divided by 18 ?
|
26 : 62 : : 32 : ?
|
[
{
"content": "26 : 62 : : 32 : ?",
"role": "user"
},
{
"content": "26 : 62 : : 32 : 68",
"role": "assistant"
}
] |
26 : 62 : : 32 : 68
|
26 : 62 : : 32 : ?
|
a reduction of 50 % in the price of bananas would enable a man to obtain 64 more for rs . 40 , what is reduced price per dozen ?
|
[
{
"content": "a reduction of 50 % in the price of bananas would enable a man to obtain 64 more for rs . 40 , what is reduced price per dozen ?",
"role": "user"
},
{
"content": "If a 50% reduction in the price of bananas allows a man to buy 64 more for Rs. 40, what is the reduced price per dozen?",
"role": "assistant"
}
] |
If a 50% reduction in the price of bananas allows a man to buy 64 more for Rs. 40, what is the reduced price per dozen?
|
a reduction of 50 % in the price of bananas would enable a man to obtain 64 more for rs . 40 , what is reduced price per dozen ?
|
marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 35 % . what percent of the projected revenue was the actual revenue ?
|
[
{
"content": "marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 35 % . what percent of the projected revenue was the actual revenue ?",
"role": "user"
},
{
"content": "What percentage of the projected revenue did the actual revenue represent?",
"role": "assistant"
}
] |
What percentage of the projected revenue did the actual revenue represent?
|
marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 35 % . what percent of the projected revenue was the actual revenue ?
|
mr . shah decided to walk down the escalator of a tube station . he found â that if he walks down 26 steps , he requires 30 seconds to reach the bottom . however , if he steps down 34 stairs he would only require 18 seconds to get to the bottom . if the time is measured from the moment the top step begins â to descend to the time he steps off the last step at the bottom , find out the height of the stair way in steps ?
|
[
{
"content": "mr . shah decided to walk down the escalator of a tube station . he found â that if he walks down 26 steps , he requires 30 seconds to reach the bottom . however , if he steps down 34 stairs he would only require 18 seconds to get to the bottom . if the time is measured from the moment the top step begins â to descend to the time he steps off the last step at the bottom , find out the height of the stair way in steps ?",
"role": "user"
},
{
"content": "What is the height of the stairway in steps if Mr. Shah's descent time varies with the number of steps he takes, taking 30 seconds for 26 steps and 18 seconds for 34 steps?",
"role": "assistant"
}
] |
What is the height of the stairway in steps if Mr. Shah's descent time varies with the number of steps he takes, taking 30 seconds for 26 steps and 18 seconds for 34 steps?
|
mr . shah decided to walk down the escalator of a tube station . he found â that if he walks down 26 steps , he requires 30 seconds to reach the bottom . however , if he steps down 34 stairs he would only require 18 seconds to get to the bottom . if the time is measured from the moment the top step begins â to descend to the time he steps off the last step at the bottom , find out the height of the stair way in steps ?
|
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