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1394 x 1394
|
[
{
"content": "1394 x 1394",
"role": "user"
},
{
"content": "1394 by 1394",
"role": "assistant"
}
] |
1394 by 1394
|
1394 x 1394
|
a and b start a business jointly . a invests rs 16000 for 8 month and b remains in the business for 4 months . out of total profit , b claims 2 / 7 of the profit . how much money was contributed by b ?
|
[
{
"content": "a and b start a business jointly . a invests rs 16000 for 8 month and b remains in the business for 4 months . out of total profit , b claims 2 / 7 of the profit . how much money was contributed by b ?",
"role": "user"
},
{
"content": "What amount did B invest, given that A invested Rs 16000 for 8 months and B was in the business for 4 months, claiming 2/7 of the total profit?",
"role": "assistant"
}
] |
What amount did B invest, given that A invested Rs 16000 for 8 months and B was in the business for 4 months, claiming 2/7 of the total profit?
|
a and b start a business jointly . a invests rs 16000 for 8 month and b remains in the business for 4 months . out of total profit , b claims 2 / 7 of the profit . how much money was contributed by b ?
|
the second of two numbers is two less than 3 times the first . find the numbers if there sum is 82 .
|
[
{
"content": "the second of two numbers is two less than 3 times the first . find the numbers if there sum is 82 .",
"role": "user"
},
{
"content": "What are the two numbers if their sum is 82 and the second number is two less than three times the first number?",
"role": "assistant"
}
] |
What are the two numbers if their sum is 82 and the second number is two less than three times the first number?
|
the second of two numbers is two less than 3 times the first . find the numbers if there sum is 82 .
|
john and steve are speed walkers in a race . john is 10 meters behind steve when he begins his final push . john blazes to the finish at a pace of 4.2 m / s , while steve maintains a blistering 3.7 m / s speed . if john finishes the race 2 meters ahead of steve , how long was john ’ s final push ?
|
[
{
"content": "john and steve are speed walkers in a race . john is 10 meters behind steve when he begins his final push . john blazes to the finish at a pace of 4.2 m / s , while steve maintains a blistering 3.7 m / s speed . if john finishes the race 2 meters ahead of steve , how long was john ’ s final push ?",
"role": "user"
},
{
"content": "How long did it take John to overtake Steve and finish the race 2 meters ahead of him at a speed of 4.2 m/s, given that he started 10 meters behind Steve, who was moving at 3.7 m/s?",
"role": "assistant"
}
] |
How long did it take John to overtake Steve and finish the race 2 meters ahead of him at a speed of 4.2 m/s, given that he started 10 meters behind Steve, who was moving at 3.7 m/s?
|
john and steve are speed walkers in a race . john is 10 meters behind steve when he begins his final push . john blazes to the finish at a pace of 4.2 m / s , while steve maintains a blistering 3.7 m / s speed . if john finishes the race 2 meters ahead of steve , how long was john ’ s final push ?
|
the true discount on a bill due 9 months hence at 16 % per annum is rs . 171 . the amount of the bill is
|
[
{
"content": "the true discount on a bill due 9 months hence at 16 % per annum is rs . 171 . the amount of the bill is",
"role": "user"
},
{
"content": "The amount of the bill is ?",
"role": "assistant"
}
] |
The amount of the bill is ?
|
the true discount on a bill due 9 months hence at 16 % per annum is rs . 171 . the amount of the bill is
|
suzie ’ s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price . on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 540 . on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 720 . how much more do pairs of boots cost than pairs of shoes at suzie ’ s discount footwear ?
|
[
{
"content": "suzie ’ s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price . on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 540 . on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 720 . how much more do pairs of boots cost than pairs of shoes at suzie ’ s discount footwear ?",
"role": "user"
},
{
"content": "What is the price difference between a pair of boots and a pair of shoes at Suzie's Discount Footwear?",
"role": "assistant"
}
] |
What is the price difference between a pair of boots and a pair of shoes at Suzie's Discount Footwear?
|
suzie ’ s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price . on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 540 . on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 720 . how much more do pairs of boots cost than pairs of shoes at suzie ’ s discount footwear ?
|
in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the ` ` sport ' ' formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the ` ` sport ' ' formulation contains 3 ounces of corn syrup , how many ounces of water does it contain ?
|
[
{
"content": "in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the ` ` sport ' ' formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the ` ` sport ' ' formulation contains 3 ounces of corn syrup , how many ounces of water does it contain ?",
"role": "user"
},
{
"content": "In the standard flavored drink, the volume ratio of flavoring to corn syrup to water is 1:12:30. In the \"sport\" version, the flavoring to corn syrup ratio is three times that of the standard, and the flavoring to water ratio is half that of the standard. If a large \"sport\" bottle contains 3 ounces of corn syrup, how many ounces of water are in it?",
"role": "assistant"
}
] |
In the standard flavored drink, the volume ratio of flavoring to corn syrup to water is 1:12:30. In the "sport" version, the flavoring to corn syrup ratio is three times that of the standard, and the flavoring to water ratio is half that of the standard. If a large "sport" bottle contains 3 ounces of corn syrup, how many ounces of water are in it?
|
in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the ` ` sport ' ' formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the ` ` sport ' ' formulation contains 3 ounces of corn syrup , how many ounces of water does it contain ?
|
sum of two numbers prime to each other is 12 and their l . c . m . is 35 . what are the numbers ?
|
[
{
"content": "sum of two numbers prime to each other is 12 and their l . c . m . is 35 . what are the numbers ?",
"role": "user"
},
{
"content": "Two numbers are relatively prime with a sum of 12 and an LCM of 35, what are they?",
"role": "assistant"
}
] |
Two numbers are relatively prime with a sum of 12 and an LCM of 35, what are they?
|
sum of two numbers prime to each other is 12 and their l . c . m . is 35 . what are the numbers ?
|
two employees x and y are paid a total of rs . 440 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 . 440 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": "How much does employee Y earn weekly if employee X receives 120% of Y's salary, given their combined weekly pay is Rs. 440?",
"role": "assistant"
}
] |
How much does employee Y earn weekly if employee X receives 120% of Y's salary, given their combined weekly pay is Rs. 440?
|
two employees x and y are paid a total of rs . 440 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?
|
how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 25 percent butterfat to obtain milk that is 20 percent butterfat ?
|
[
{
"content": "how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 25 percent butterfat to obtain milk that is 20 percent butterfat ?",
"role": "user"
},
{
"content": "To achieve a 20 percent butterfat concentration, what quantity of 10 percent butterfat milk must be added to 8 gallons of 25 percent butterfat milk ?",
"role": "assistant"
}
] |
To achieve a 20 percent butterfat concentration, what quantity of 10 percent butterfat milk must be added to 8 gallons of 25 percent butterfat milk ?
|
how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 25 percent butterfat to obtain milk that is 20 percent butterfat ?
|
a envelop weight 8.5 gm , if 820 of these envelop are sent with an advertisement mail . how much wieght ?
|
[
{
"content": "a envelop weight 8.5 gm , if 820 of these envelop are sent with an advertisement mail . how much wieght ?",
"role": "user"
},
{
"content": "If 820 envelopes weighing 8.5 gm each are sent with an advertisement mail, what is the total weight?",
"role": "assistant"
}
] |
If 820 envelopes weighing 8.5 gm each are sent with an advertisement mail, what is the total weight?
|
a envelop weight 8.5 gm , if 820 of these envelop are sent with an advertisement mail . how much wieght ?
|
the area of a rectangular field is equal to 500 square meters . its perimeter is equal to 90 meters . find the width of this rectangle .
|
[
{
"content": "the area of a rectangular field is equal to 500 square meters . its perimeter is equal to 90 meters . find the width of this rectangle .",
"role": "user"
},
{
"content": "What is the width of the rectangle with an area of 500 square meters and a perimeter of 90 meters?",
"role": "assistant"
}
] |
What is the width of the rectangle with an area of 500 square meters and a perimeter of 90 meters?
|
the area of a rectangular field is equal to 500 square meters . its perimeter is equal to 90 meters . find the width of this rectangle .
|
the angle between the minute hand and the hour hand of a clock when the time is 11.30 , is
|
[
{
"content": "the angle between the minute hand and the hour hand of a clock when the time is 11.30 , is",
"role": "user"
},
{
"content": "the angle between the minute hand and the hour hand of a clock at 11:30 is",
"role": "assistant"
}
] |
the angle between the minute hand and the hour hand of a clock at 11:30 is
|
the angle between the minute hand and the hour hand of a clock when the time is 11.30 , is
|
there are 16 bees in the hive , then 6 more fly . how many bees are there in all ?
|
[
{
"content": "there are 16 bees in the hive , then 6 more fly . how many bees are there in all ?",
"role": "user"
},
{
"content": "There are 16 bees in the hive, then 6 more arrive. What's the total number of bees now?",
"role": "assistant"
}
] |
There are 16 bees in the hive, then 6 more arrive. What's the total number of bees now?
|
there are 16 bees in the hive , then 6 more fly . how many bees are there in all ?
|
a train moves with a speed of 108 kmph . its speed in metres per second is :
|
[
{
"content": "a train moves with a speed of 108 kmph . its speed in metres per second is :",
"role": "user"
},
{
"content": "What is the speed of the train in meters per second when it moves at 108 km/h?",
"role": "assistant"
}
] |
What is the speed of the train in meters per second when it moves at 108 km/h?
|
a train moves with a speed of 108 kmph . its speed in metres per second is :
|
20 is subtracted from 60 % of a number , the result is 88 . find the number ?
|
[
{
"content": "20 is subtracted from 60 % of a number , the result is 88 . find the number ?",
"role": "user"
},
{
"content": "What number has 60% minus 20 equal to 88?",
"role": "assistant"
}
] |
What number has 60% minus 20 equal to 88?
|
20 is subtracted from 60 % of a number , the result is 88 . find the number ?
|
by how much is 50 % of 250 greater than 25 % of 400 .
|
[
{
"content": "by how much is 50 % of 250 greater than 25 % of 400 .",
"role": "user"
},
{
"content": "What is the difference between 50% of 250 and 25% of 400?",
"role": "assistant"
}
] |
What is the difference between 50% of 250 and 25% of 400?
|
by how much is 50 % of 250 greater than 25 % of 400 .
|
find the ratio in which rice at rs . 7.20 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 . 7.20 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": "What is the ratio at which rice costing Rs. 7.20 per kg should be mixed with rice costing Rs. 5.70 per kg to obtain a mixture costing Rs. 6.30 per kg ?",
"role": "assistant"
}
] |
What is the ratio at which rice costing Rs. 7.20 per kg should be mixed with rice costing Rs. 5.70 per kg to obtain a mixture costing Rs. 6.30 per kg ?
|
find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg ?
|
in a rectangular coordinate system , if a line passes through the points ( - 15 , - 18 ) , ( 1522 ) and ( x , 2 ) then what is the value of x ?
|
[
{
"content": "in a rectangular coordinate system , if a line passes through the points ( - 15 , - 18 ) , ( 1522 ) and ( x , 2 ) then what is the value of x ?",
"role": "user"
},
{
"content": "In a rectangular coordinate system, if a line passes through the points (-15, -18), (15, 22), and (x, 2), what is the x value?",
"role": "assistant"
}
] |
In a rectangular coordinate system, if a line passes through the points (-15, -18), (15, 22), and (x, 2), what is the x value?
|
in a rectangular coordinate system , if a line passes through the points ( - 15 , - 18 ) , ( 1522 ) and ( x , 2 ) then what is the value of x ?
|
the sector of a circle has radius of 21 cm and central angle 108 o . find its perimeter ?
|
[
{
"content": "the sector of a circle has radius of 21 cm and central angle 108 o . find its perimeter ?",
"role": "user"
},
{
"content": "What is the perimeter of a sector with a 21 cm radius and a central angle of 108 degrees?",
"role": "assistant"
}
] |
What is the perimeter of a sector with a 21 cm radius and a central angle of 108 degrees?
|
the sector of a circle has radius of 21 cm and central angle 108 o . find its perimeter ?
|
a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 35 % lemonade syrup ?
|
[
{
"content": "a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 35 % lemonade syrup ?",
"role": "user"
},
{
"content": "To achieve a 35% lemonade syrup concentration, how many parts of the solution need to be removed and replaced with water, given that it initially consists of 8 parts water and 7 parts lemonade syrup?",
"role": "assistant"
}
] |
To achieve a 35% lemonade syrup concentration, how many parts of the solution need to be removed and replaced with water, given that it initially consists of 8 parts water and 7 parts lemonade syrup?
|
a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 35 % lemonade syrup ?
|
running at the same constant rate , 100 identical machines can produce a total of 500 coffee bar per minute . at this rate , how many bottles could 20 such machines produce in 2 minutes ?
|
[
{
"content": "running at the same constant rate , 100 identical machines can produce a total of 500 coffee bar per minute . at this rate , how many bottles could 20 such machines produce in 2 minutes ?",
"role": "user"
},
{
"content": "at the same constant rate , 100 identical machines can produce a total of 500 coffee bar per minute . at this rate , how many bottles could 20 such machines produce in 2 minutes ?",
"role": "assistant"
}
] |
at the same constant rate , 100 identical machines can produce a total of 500 coffee bar per minute . at this rate , how many bottles could 20 such machines produce in 2 minutes ?
|
running at the same constant rate , 100 identical machines can produce a total of 500 coffee bar per minute . at this rate , how many bottles could 20 such machines produce in 2 minutes ?
|
a certain fraction has the same ratio to 1 / 36 , as 4 / 5 does to 2 / 9 . what is this certain fraction ?
|
[
{
"content": "a certain fraction has the same ratio to 1 / 36 , as 4 / 5 does to 2 / 9 . what is this certain fraction ?",
"role": "user"
},
{
"content": "What is the fraction that has the same ratio to 1/36 as 4/5 does to 2/9?",
"role": "assistant"
}
] |
What is the fraction that has the same ratio to 1/36 as 4/5 does to 2/9?
|
a certain fraction has the same ratio to 1 / 36 , as 4 / 5 does to 2 / 9 . what is this certain fraction ?
|
what is the units digit of ( 5 ! * 5 ! + 6 ! * 5 ! ) / 3 ?
|
[
{
"content": "what is the units digit of ( 5 ! * 5 ! + 6 ! * 5 ! ) / 3 ?",
"role": "user"
},
{
"content": "What is the units digit of the result of ( 5 ! * 5 ! + 6 ! * 5 ! ) divided by 3 ?",
"role": "assistant"
}
] |
What is the units digit of the result of ( 5 ! * 5 ! + 6 ! * 5 ! ) divided by 3 ?
|
what is the units digit of ( 5 ! * 5 ! + 6 ! * 5 ! ) / 3 ?
|
find the constant k so that : - x 2 - ( k + 8 ) x - 8 = - ( x - 2 ) ( x - 4 )
|
[
{
"content": "find the constant k so that : - x 2 - ( k + 8 ) x - 8 = - ( x - 2 ) ( x - 4 )",
"role": "user"
},
{
"content": "Determine the value of k such that: -x^2 - (k + 8)x - 8 is equivalent to -(x - 2)(x - 4).",
"role": "assistant"
}
] |
Determine the value of k such that: -x^2 - (k + 8)x - 8 is equivalent to -(x - 2)(x - 4).
|
find the constant k so that : - x 2 - ( k + 8 ) x - 8 = - ( x - 2 ) ( x - 4 )
|
a , b and c invested rs . 6000 , rs . 4000 and rs . 10000 respectively , in a partnership business . find the share of a in profit of rs . 11000 after a year ?
|
[
{
"content": "a , b and c invested rs . 6000 , rs . 4000 and rs . 10000 respectively , in a partnership business . find the share of a in profit of rs . 11000 after a year ?",
"role": "user"
},
{
"content": "What is A's share of the Rs. 11000 profit after a year, given that A, B, and C invested Rs. 6000, Rs. 4000, and Rs. 10000 respectively in their partnership business?",
"role": "assistant"
}
] |
What is A's share of the Rs. 11000 profit after a year, given that A, B, and C invested Rs. 6000, Rs. 4000, and Rs. 10000 respectively in their partnership business?
|
a , b and c invested rs . 6000 , rs . 4000 and rs . 10000 respectively , in a partnership business . find the share of a in profit of rs . 11000 after a year ?
|
a group of people participate in some curriculum , 30 of them practice yoga , 20 study cooking , 15 study weaving , 5 of them study cooking only , 8 of them study both the cooking and yoga , 5 of them participate all curriculums . how many people study both cooking and weaving ?
|
[
{
"content": "a group of people participate in some curriculum , 30 of them practice yoga , 20 study cooking , 15 study weaving , 5 of them study cooking only , 8 of them study both the cooking and yoga , 5 of them participate all curriculums . how many people study both cooking and weaving ?",
"role": "user"
},
{
"content": "How many people are enrolled in both the cooking and weaving programs",
"role": "assistant"
}
] |
How many people are enrolled in both the cooking and weaving programs
|
a group of people participate in some curriculum , 30 of them practice yoga , 20 study cooking , 15 study weaving , 5 of them study cooking only , 8 of them study both the cooking and yoga , 5 of them participate all curriculums . how many people study both cooking and weaving ?
|
at what rate percent on simple interest will rs . 750 amount to rs . 825 in 5 years ?
|
[
{
"content": "at what rate percent on simple interest will rs . 750 amount to rs . 825 in 5 years ?",
"role": "user"
},
{
"content": "What is the rate of simple interest at which Rs. 750 will become Rs. 825 in 5 years?",
"role": "assistant"
}
] |
What is the rate of simple interest at which Rs. 750 will become Rs. 825 in 5 years?
|
at what rate percent on simple interest will rs . 750 amount to rs . 825 in 5 years ?
|
if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 690 , what is the least possible value of n ?
|
[
{
"content": "if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 690 , what is the least possible value of n ?",
"role": "user"
},
{
"content": "What is the smallest positive integer n such that the product of all integers from 1 to n is divisible by 690?",
"role": "assistant"
}
] |
What is the smallest positive integer n such that the product of all integers from 1 to n is divisible by 690?
|
if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 690 , what is the least possible value of n ?
|
two ants , arthur and amy , have discovered a picnic and are bringing crumbs back to the anthill . amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur . if arthur carries a total of b crumbs to the anthill , how many crumbs will amy bring to the anthill , in terms of b ?
|
[
{
"content": "two ants , arthur and amy , have discovered a picnic and are bringing crumbs back to the anthill . amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur . if arthur carries a total of b crumbs to the anthill , how many crumbs will amy bring to the anthill , in terms of b ?",
"role": "user"
},
{
"content": "If Arthur carries a total of b crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of b?",
"role": "assistant"
}
] |
If Arthur carries a total of b crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of b?
|
two ants , arthur and amy , have discovered a picnic and are bringing crumbs back to the anthill . amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur . if arthur carries a total of b crumbs to the anthill , how many crumbs will amy bring to the anthill , in terms of b ?
|
a certain number of badges were distributed among a class of students . the student who got 1 / 6 th of the total number of badges actually got 5 times the average number of badges the others got ! how many students were there in the class ?
|
[
{
"content": "a certain number of badges were distributed among a class of students . the student who got 1 / 6 th of the total number of badges actually got 5 times the average number of badges the others got ! how many students were there in the class ?",
"role": "user"
},
{
"content": "How many students were in the class if one student received 1/6 of the total badges, which was 5 times the average number of badges the other students received?",
"role": "assistant"
}
] |
How many students were in the class if one student received 1/6 of the total badges, which was 5 times the average number of badges the other students received?
|
a certain number of badges were distributed among a class of students . the student who got 1 / 6 th of the total number of badges actually got 5 times the average number of badges the others got ! how many students were there in the class ?
|
23 , 27 , 36 , 52 , . . .
|
[
{
"content": "23 , 27 , 36 , 52 , . . .",
"role": "user"
},
{
"content": "What comes next in the sequence 23, 27, 36, 52?",
"role": "assistant"
}
] |
What comes next in the sequence 23, 27, 36, 52?
|
23 , 27 , 36 , 52 , . . .
|
tough and tricky questions : work / rate problems . a group of 4 junior lawyers require 7 hours to complete a legal research assignment . how many hours would it take a group of 3 legal assistants to complete the same research assignment assuming that a legal assistant works at two - thirds the rate of a junior lawyer ? source : chili hot gmat
|
[
{
"content": "tough and tricky questions : work / rate problems . a group of 4 junior lawyers require 7 hours to complete a legal research assignment . how many hours would it take a group of 3 legal assistants to complete the same research assignment assuming that a legal assistant works at two - thirds the rate of a junior lawyer ? source : chili hot gmat",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text:\n\nChallenging problems: work and rate issues. A team of 4 junior lawyers need 7 hours to finish a legal research project. If a legal assistant works at 2/3 the speed of a junior lawyer, how long would it take a team of 3 legal assistants to complete the same project? Source: Chili Hot GMAT",
"role": "assistant"
}
] |
Here is a paraphrased version of the text:
Challenging problems: work and rate issues. A team of 4 junior lawyers need 7 hours to finish a legal research project. If a legal assistant works at 2/3 the speed of a junior lawyer, how long would it take a team of 3 legal assistants to complete the same project? Source: Chili Hot GMAT
|
tough and tricky questions : work / rate problems . a group of 4 junior lawyers require 7 hours to complete a legal research assignment . how many hours would it take a group of 3 legal assistants to complete the same research assignment assuming that a legal assistant works at two - thirds the rate of a junior lawyer ? source : chili hot gmat
|
mahesh can do a piece of work in 30 days . he works at it for 20 days and then rajesh finished it in 30 days . how long will y take to complete the work ?
|
[
{
"content": "mahesh can do a piece of work in 30 days . he works at it for 20 days and then rajesh finished it in 30 days . how long will y take to complete the work ?",
"role": "user"
},
{
"content": "If Mahesh can complete a piece of work in 30 days, he works on it for 20 days, and then Rajesh finishes it in 30 days, how long will Y take to complete the work?",
"role": "assistant"
}
] |
If Mahesh can complete a piece of work in 30 days, he works on it for 20 days, and then Rajesh finishes it in 30 days, how long will Y take to complete the work?
|
mahesh can do a piece of work in 30 days . he works at it for 20 days and then rajesh finished it in 30 days . how long will y take to complete the work ?
|
if x and y are numbers such that ( x + 6 ) ( y - 6 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2
|
[
{
"content": "if x and y are numbers such that ( x + 6 ) ( y - 6 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2",
"role": "user"
},
{
"content": "If x and y are numbers such that ( x + 6 ) ( y - 6 ) = 0, what is the minimum value of x^2 + y^2?",
"role": "assistant"
}
] |
If x and y are numbers such that ( x + 6 ) ( y - 6 ) = 0, what is the minimum value of x^2 + y^2?
|
if x and y are numbers such that ( x + 6 ) ( y - 6 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2
|
the difference of a larger number and a smaller number is 6 . the sum of the larger number and twice the smaller is 15 . what is the larger number ?
|
[
{
"content": "the difference of a larger number and a smaller number is 6 . the sum of the larger number and twice the smaller is 15 . what is the larger number ?",
"role": "user"
},
{
"content": "What is the value of the larger number if the difference between the larger and smaller number is 6 and the sum of the larger number and twice the smaller number is 15 ?",
"role": "assistant"
}
] |
What is the value of the larger number if the difference between the larger and smaller number is 6 and the sum of the larger number and twice the smaller number is 15 ?
|
the difference of a larger number and a smaller number is 6 . the sum of the larger number and twice the smaller is 15 . what is the larger number ?
|
a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ?
|
[
{
"content": "a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ?",
"role": "user"
},
{
"content": "What is the platform's length in meters, given a train traveling 72 kmph crosses it in 30 seconds and a man on the platform in 18 seconds?",
"role": "assistant"
}
] |
What is the platform's length in meters, given a train traveling 72 kmph crosses it in 30 seconds and a man on the platform in 18 seconds?
|
a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ?
|
a vessel of capacity 2 litre has 16 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?
|
[
{
"content": "a vessel of capacity 2 litre has 16 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?",
"role": "user"
},
{
"content": "A 2L vessel contains 16% alcohol and a 6L vessel contains 40% alcohol; they're mixed in a 10L vessel and the remaining space is filled with water. What's the resulting alcohol concentration?",
"role": "assistant"
}
] |
A 2L vessel contains 16% alcohol and a 6L vessel contains 40% alcohol; they're mixed in a 10L vessel and the remaining space is filled with water. What's the resulting alcohol concentration?
|
a vessel of capacity 2 litre has 16 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?
|
the diameters of two spheres are in the ratio 1 : 2 what is the ratio of their surface area ?
|
[
{
"content": "the diameters of two spheres are in the ratio 1 : 2 what is the ratio of their surface area ?",
"role": "user"
},
{
"content": "What is the ratio of the surface areas of two spheres with diameters in a 1:2 ratio?",
"role": "assistant"
}
] |
What is the ratio of the surface areas of two spheres with diameters in a 1:2 ratio?
|
the diameters of two spheres are in the ratio 1 : 2 what is the ratio of their surface area ?
|
there are 3 prizes to be distributed among 10 students . if no students gets more than one prize , then this can be done in ?
|
[
{
"content": "there are 3 prizes to be distributed among 10 students . if no students gets more than one prize , then this can be done in ?",
"role": "user"
},
{
"content": "10 students are competing for 3 prizes, with each student eligible for only one prize; how many ways can the prizes be distributed?",
"role": "assistant"
}
] |
10 students are competing for 3 prizes, with each student eligible for only one prize; how many ways can the prizes be distributed?
|
there are 3 prizes to be distributed among 10 students . if no students gets more than one prize , then this can be done in ?
|
a student got 72 % in math and 82 % in history . to get an overall average of 75 % , how much should the student get in the third subject ?
|
[
{
"content": "a student got 72 % in math and 82 % in history . to get an overall average of 75 % , how much should the student get in the third subject ?",
"role": "user"
},
{
"content": "What score does the student need in their third subject to achieve a 75% overall average after scoring 72% in math and 82% in history?",
"role": "assistant"
}
] |
What score does the student need in their third subject to achieve a 75% overall average after scoring 72% in math and 82% in history?
|
a student got 72 % in math and 82 % in history . to get an overall average of 75 % , how much should the student get in the third subject ?
|
a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ' s contribution in the capital ?
|
[
{
"content": "a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ' s contribution in the capital ?",
"role": "user"
},
{
"content": "What amount of capital did B invest",
"role": "assistant"
}
] |
What amount of capital did B invest
|
a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ' s contribution in the capital ?
|
how much water must be added to 60 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ?
|
[
{
"content": "how much water must be added to 60 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ?",
"role": "user"
},
{
"content": "What amount of water needs to be added to 60 litres of milk at 1 1/2 litres for 20 to achieve a mixture worth 10 2/3 a litre?",
"role": "assistant"
}
] |
What amount of water needs to be added to 60 litres of milk at 1 1/2 litres for 20 to achieve a mixture worth 10 2/3 a litre?
|
how much water must be added to 60 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ?
|
a car dealership has 40 cars on the lot , 15 % of which are silver . if the dealership receives a new shipment of 80 cars , 45 % of which are not silver , what percentage of total number of cars are silver ?
|
[
{
"content": "a car dealership has 40 cars on the lot , 15 % of which are silver . if the dealership receives a new shipment of 80 cars , 45 % of which are not silver , what percentage of total number of cars are silver ?",
"role": "user"
},
{
"content": "What percentage of the total cars will be silver after a car dealership receives a new shipment of 80 cars, with 45% of them not being silver, in addition to the existing 40 cars, 15% of which are silver?",
"role": "assistant"
}
] |
What percentage of the total cars will be silver after a car dealership receives a new shipment of 80 cars, with 45% of them not being silver, in addition to the existing 40 cars, 15% of which are silver?
|
a car dealership has 40 cars on the lot , 15 % of which are silver . if the dealership receives a new shipment of 80 cars , 45 % of which are not silver , what percentage of total number of cars are silver ?
|
how many of the positive factors of 24 are not factors of 27
|
[
{
"content": "how many of the positive factors of 24 are not factors of 27",
"role": "user"
},
{
"content": "What is the number of positive factors of 24 that do not divide 27.",
"role": "assistant"
}
] |
What is the number of positive factors of 24 that do not divide 27.
|
how many of the positive factors of 24 are not factors of 27
|
a person travels from p to q a speed of 60 km / hr and returns by increasing his speed by 20 % . what is his average speed for both the trips ?
|
[
{
"content": "a person travels from p to q a speed of 60 km / hr and returns by increasing his speed by 20 % . what is his average speed for both the trips ?",
"role": "user"
},
{
"content": "What is the average speed of a person who travels from P to Q at 60 km/hr and returns with a 20% increase in speed?",
"role": "assistant"
}
] |
What is the average speed of a person who travels from P to Q at 60 km/hr and returns with a 20% increase in speed?
|
a person travels from p to q a speed of 60 km / hr and returns by increasing his speed by 20 % . what is his average speed for both the trips ?
|
a and b can together finish a work in 10 days . they worked together for 5 days and then b left . after another 5 days , a finished the remaining work . in how many days a alone can finish the job ?
|
[
{
"content": "a and b can together finish a work in 10 days . they worked together for 5 days and then b left . after another 5 days , a finished the remaining work . in how many days a alone can finish the job ?",
"role": "user"
},
{
"content": "If a and b can complete a job together in 10 days, and after working together for 5 days, b leaves, then how many days will it take a to finish the job alone after 5 more days?",
"role": "assistant"
}
] |
If a and b can complete a job together in 10 days, and after working together for 5 days, b leaves, then how many days will it take a to finish the job alone after 5 more days?
|
a and b can together finish a work in 10 days . they worked together for 5 days and then b left . after another 5 days , a finished the remaining work . in how many days a alone can finish the job ?
|
a rectangular field has a length 10 meters more than it is width . if the area of the field is 200 , what is the length ( in meters ) of the rectangular field ?
|
[
{
"content": "a rectangular field has a length 10 meters more than it is width . if the area of the field is 200 , what is the length ( in meters ) of the rectangular field ?",
"role": "user"
},
{
"content": "What is the length, in meters, of a rectangular field with an area of 200 square meters, where the length is 10 meters more than its width?",
"role": "assistant"
}
] |
What is the length, in meters, of a rectangular field with an area of 200 square meters, where the length is 10 meters more than its width?
|
a rectangular field has a length 10 meters more than it is width . if the area of the field is 200 , what is the length ( in meters ) of the rectangular field ?
|
a bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is - .
|
[
{
"content": "a bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is - .",
"role": "user"
},
{
"content": "A bag contains 7 green and 8 white balls; what is the probability that two simultaneously drawn balls are the same color?",
"role": "assistant"
}
] |
A bag contains 7 green and 8 white balls; what is the probability that two simultaneously drawn balls are the same color?
|
a bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is - .
|
if 4 men working 10 hours a day earn rs . 1600 per week , then 9 men working 6 hours a day will earn how much per week ?
|
[
{
"content": "if 4 men working 10 hours a day earn rs . 1600 per week , then 9 men working 6 hours a day will earn how much per week ?",
"role": "user"
},
{
"content": "What will be the weekly earnings of 9 men working 6 hours a day, if 4 men working 10 hours a day earn Rs. 1600 per week?",
"role": "assistant"
}
] |
What will be the weekly earnings of 9 men working 6 hours a day, if 4 men working 10 hours a day earn Rs. 1600 per week?
|
if 4 men working 10 hours a day earn rs . 1600 per week , then 9 men working 6 hours a day will earn how much per week ?
|
a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 9 more than the correct answer . find the number .
|
[
{
"content": "a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 9 more than the correct answer . find the number .",
"role": "user"
},
{
"content": "What number, when divided by 4/5, results in 9 more than 4/5 of the number itself?",
"role": "assistant"
}
] |
What number, when divided by 4/5, results in 9 more than 4/5 of the number itself?
|
a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 9 more than the correct answer . find the number .
|
raman mixed 24 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ?
|
[
{
"content": "raman mixed 24 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ?",
"role": "user"
},
{
"content": "At what price should Raman sell the mixture per kg to achieve a 40% profit after combining 24 kg of butter at Rs. 150 per kg with 36 kg of butter at Rs. 125 per kg?",
"role": "assistant"
}
] |
At what price should Raman sell the mixture per kg to achieve a 40% profit after combining 24 kg of butter at Rs. 150 per kg with 36 kg of butter at Rs. 125 per kg?
|
raman mixed 24 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ?
|
if jake loses 8 pounds , he will weigh twice as much as his sister kendra . together they now weigh 284 pounds . what is jake ’ s present weight , in pounds ?
|
[
{
"content": "if jake loses 8 pounds , he will weigh twice as much as his sister kendra . together they now weigh 284 pounds . what is jake ’ s present weight , in pounds ?",
"role": "user"
},
{
"content": "If Jake loses 8 pounds, his weight will be double that of his sister Kendra. Together, Jake and Kendra currently weigh 284 pounds. What is Jake's current weight in pounds?",
"role": "assistant"
}
] |
If Jake loses 8 pounds, his weight will be double that of his sister Kendra. Together, Jake and Kendra currently weigh 284 pounds. What is Jake's current weight in pounds?
|
if jake loses 8 pounds , he will weigh twice as much as his sister kendra . together they now weigh 284 pounds . what is jake ’ s present weight , in pounds ?
|
arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 40 days .
|
[
{
"content": "arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 40 days .",
"role": "user"
},
{
"content": "Arun and Tarun can complete a task in 10 days. After 4 days, Tarun leaves for his village. How many more days will it take Arun to finish the remaining work by himself, given that Arun can complete the work alone in 40 days?",
"role": "assistant"
}
] |
Arun and Tarun can complete a task in 10 days. After 4 days, Tarun leaves for his village. How many more days will it take Arun to finish the remaining work by himself, given that Arun can complete the work alone in 40 days?
|
arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 40 days .
|
what least number must be added to 1145 , so that the sum is completely divisible by 23 ?
|
[
{
"content": "what least number must be added to 1145 , so that the sum is completely divisible by 23 ?",
"role": "user"
},
{
"content": "What is the minimum number that needs to be added to 1145 to make the sum divisible by 23?",
"role": "assistant"
}
] |
What is the minimum number that needs to be added to 1145 to make the sum divisible by 23?
|
what least number must be added to 1145 , so that the sum is completely divisible by 23 ?
|
a towel , when bleached , lost 30 % of its length and 20 % of its breadth . what is the percentage decrease in area ?
|
[
{
"content": "a towel , when bleached , lost 30 % of its length and 20 % of its breadth . what is the percentage decrease in area ?",
"role": "user"
},
{
"content": "What is the percentage decrease in area for a towel that loses 30% of its length and 20% of its breadth after bleaching?",
"role": "assistant"
}
] |
What is the percentage decrease in area for a towel that loses 30% of its length and 20% of its breadth after bleaching?
|
a towel , when bleached , lost 30 % of its length and 20 % of its breadth . what is the percentage decrease in area ?
|
a man is 30 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is
|
[
{
"content": "a man is 30 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is",
"role": "user"
},
{
"content": "A man is 30 years older than his son. In two years, his age will be twice the age of his son. What is the son's current age?",
"role": "assistant"
}
] |
A man is 30 years older than his son. In two years, his age will be twice the age of his son. What is the son's current age?
|
a man is 30 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is
|
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 8.73 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discount rates is 22 percent , what is the discount rate on pony jeans ?
|
[
{
"content": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 8.73 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discount rates is 22 percent , what is the discount rate on pony jeans ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text, preserving the original structure and semantics:\n\nFox jeans are normally $15 per pair, while pony jeans are $18 per pair. During a sale, the regular prices are discounted at different rates, resulting in a total savings of $8.73 when buying 5 pairs of jeans: 3 fox jeans and 2 pony jeans. If the combined discount rate is 22%, what is the discount rate applied to pony jeans?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text, preserving the original structure and semantics:
Fox jeans are normally $15 per pair, while pony jeans are $18 per pair. During a sale, the regular prices are discounted at different rates, resulting in a total savings of $8.73 when buying 5 pairs of jeans: 3 fox jeans and 2 pony jeans. If the combined discount rate is 22%, what is the discount rate applied to pony jeans?
|
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 8.73 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discount rates is 22 percent , what is the discount rate on pony jeans ?
|
a trader bought a car at 20 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ?
|
[
{
"content": "a trader bought a car at 20 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ?",
"role": "user"
},
{
"content": "At a 20% discount, a trader purchased a car and then resold it for an 80% markup from the purchase price. What percentage profit did he make from the original price?",
"role": "assistant"
}
] |
At a 20% discount, a trader purchased a car and then resold it for an 80% markup from the purchase price. What percentage profit did he make from the original price?
|
a trader bought a car at 20 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ?
|
800 men have provisions for 15 days . if 200 more men join them , for how many days will the provisions last now ?
|
[
{
"content": "800 men have provisions for 15 days . if 200 more men join them , for how many days will the provisions last now ?",
"role": "user"
},
{
"content": "If 200 more men join the 800 men with 15 days' worth of provisions, how long will the provisions last now?",
"role": "assistant"
}
] |
If 200 more men join the 800 men with 15 days' worth of provisions, how long will the provisions last now?
|
800 men have provisions for 15 days . if 200 more men join them , for how many days will the provisions last now ?
|
n = 1 ! + 2 ! + 3 ! . . . . . + 10 ! . what is the last digit of n ^ n ?
|
[
{
"content": "n = 1 ! + 2 ! + 3 ! . . . . . + 10 ! . what is the last digit of n ^ n ?",
"role": "user"
},
{
"content": "What is the units digit of the result when n is raised to the power of itself, where n is the sum of the factorials of the numbers 1 through 10?",
"role": "assistant"
}
] |
What is the units digit of the result when n is raised to the power of itself, where n is the sum of the factorials of the numbers 1 through 10?
|
n = 1 ! + 2 ! + 3 ! . . . . . + 10 ! . what is the last digit of n ^ n ?
|
by weight , liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b . if 250 grams of solution a are mixed with 700 grams of solution b , then liquid x accounts for what percent of the weight of the resulting solution ?
|
[
{
"content": "by weight , liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b . if 250 grams of solution a are mixed with 700 grams of solution b , then liquid x accounts for what percent of the weight of the resulting solution ?",
"role": "user"
},
{
"content": "What percentage of the resulting solution's weight is liquid x if 250 grams of solution a, where it makes up 0.8%, is mixed with 700 grams of solution b, where it makes up 1.8%?",
"role": "assistant"
}
] |
What percentage of the resulting solution's weight is liquid x if 250 grams of solution a, where it makes up 0.8%, is mixed with 700 grams of solution b, where it makes up 1.8%?
|
by weight , liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b . if 250 grams of solution a are mixed with 700 grams of solution b , then liquid x accounts for what percent of the weight of the resulting solution ?
|
set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 3 , while all other numbers remain the same , what is the new average of set s ?
|
[
{
"content": "set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 3 , while all other numbers remain the same , what is the new average of set s ?",
"role": "user"
},
{
"content": "If one number in set S is increased by 3 while the others remain unchanged, what will be the new average of the set, given that it originally had 10 numbers with an average of 6.2?",
"role": "assistant"
}
] |
If one number in set S is increased by 3 while the others remain unchanged, what will be the new average of the set, given that it originally had 10 numbers with an average of 6.2?
|
set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 3 , while all other numbers remain the same , what is the new average of set s ?
|
a is a working partner and b is a sleeping partner in a business . a puts in 20,000 and b 90,000 . a gets 20 % of the profit for managing the business , and the rest is divided in proportion to their capitals . find the share of b in profit of 11000 .
|
[
{
"content": "a is a working partner and b is a sleeping partner in a business . a puts in 20,000 and b 90,000 . a gets 20 % of the profit for managing the business , and the rest is divided in proportion to their capitals . find the share of b in profit of 11000 .",
"role": "user"
},
{
"content": "In a business, A is the active partner and B is the silent partner. A invests 20,000 and B invests 90,000. A receives 20% of the profit for managing the business, with the remainder being divided based on their capital contributions. What is B's share of the 11,000 profit?",
"role": "assistant"
}
] |
In a business, A is the active partner and B is the silent partner. A invests 20,000 and B invests 90,000. A receives 20% of the profit for managing the business, with the remainder being divided based on their capital contributions. What is B's share of the 11,000 profit?
|
a is a working partner and b is a sleeping partner in a business . a puts in 20,000 and b 90,000 . a gets 20 % of the profit for managing the business , and the rest is divided in proportion to their capitals . find the share of b in profit of 11000 .
|
a group of people participate in some curriculum , 30 of them practice yoga , 25 study cooking , 15 study weaving , 6 of them study cooking only , 8 of them study both the cooking and yoga , 7 of them participate all curriculums . how many people study both cooking and weaving ?
|
[
{
"content": "a group of people participate in some curriculum , 30 of them practice yoga , 25 study cooking , 15 study weaving , 6 of them study cooking only , 8 of them study both the cooking and yoga , 7 of them participate all curriculums . how many people study both cooking and weaving ?",
"role": "user"
},
{
"content": "How many individuals are studying both cooking and weaving?",
"role": "assistant"
}
] |
How many individuals are studying both cooking and weaving?
|
a group of people participate in some curriculum , 30 of them practice yoga , 25 study cooking , 15 study weaving , 6 of them study cooking only , 8 of them study both the cooking and yoga , 7 of them participate all curriculums . how many people study both cooking and weaving ?
|
a carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet . if the carpenter were to make a similar sandbox twice as long , twice as wide , and twice as high as the first sandbox , what would be the capacity , in cubic feet , of the second sandbox ?
|
[
{
"content": "a carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet . if the carpenter were to make a similar sandbox twice as long , twice as wide , and twice as high as the first sandbox , what would be the capacity , in cubic feet , of the second sandbox ?",
"role": "user"
},
{
"content": "A carpenter built a rectangular sandbox that held 10 cubic feet of sand. If he were to build another sandbox twice the length, width, and height of the first, what would be the volume, in cubic feet, of the second sandbox?",
"role": "assistant"
}
] |
A carpenter built a rectangular sandbox that held 10 cubic feet of sand. If he were to build another sandbox twice the length, width, and height of the first, what would be the volume, in cubic feet, of the second sandbox?
|
a carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet . if the carpenter were to make a similar sandbox twice as long , twice as wide , and twice as high as the first sandbox , what would be the capacity , in cubic feet , of the second sandbox ?
|
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 25 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ?
|
[
{
"content": "two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 25 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ?",
"role": "user"
},
{
"content": "What is the distance between the two stations if two passenger trains, moving towards each other at 25 km/h and 21 km/h, meet and one has traveled 60 km farther than the other?",
"role": "assistant"
}
] |
What is the distance between the two stations if two passenger trains, moving towards each other at 25 km/h and 21 km/h, meet and one has traveled 60 km farther than the other?
|
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 25 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ?
|
8 , 12 , 18 , 27 , 40.5 , ( . . . )
|
[
{
"content": "8 , 12 , 18 , 27 , 40.5 , ( . . . )",
"role": "user"
},
{
"content": "8, 12, 18, 27, 40.5, (?)",
"role": "assistant"
}
] |
8, 12, 18, 27, 40.5, (?)
|
8 , 12 , 18 , 27 , 40.5 , ( . . . )
|
a rainstorm increased the amount of water stored in state j reservoirs from 130 billion gallons to 160 billion gallons . if the storm increased the amount of water in the reservoirs to 80 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?
|
[
{
"content": "a rainstorm increased the amount of water stored in state j reservoirs from 130 billion gallons to 160 billion gallons . if the storm increased the amount of water in the reservoirs to 80 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text:\n\nA rainstorm raised the water storage in state J reservoirs from 130 billion gallons to 160 billion gallons. If the storm brought the reservoirs up to 80% capacity, how many billion gallons short of full capacity were they before the storm?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text:
A rainstorm raised the water storage in state J reservoirs from 130 billion gallons to 160 billion gallons. If the storm brought the reservoirs up to 80% capacity, how many billion gallons short of full capacity were they before the storm?
|
a rainstorm increased the amount of water stored in state j reservoirs from 130 billion gallons to 160 billion gallons . if the storm increased the amount of water in the reservoirs to 80 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?
|
in business , a and c invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by a and b was 2 : 5 , if rs 15,000 was their profit , how much amount did b receive .
|
[
{
"content": "in business , a and c invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by a and b was 2 : 5 , if rs 15,000 was their profit , how much amount did b receive .",
"role": "user"
},
{
"content": "In a business, A and C invested in a 2:1 ratio, while A and B invested in a 2:5 ratio; if their profit was Rs 15,000, what was B's share?",
"role": "assistant"
}
] |
In a business, A and C invested in a 2:1 ratio, while A and B invested in a 2:5 ratio; if their profit was Rs 15,000, what was B's share?
|
in business , a and c invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by a and b was 2 : 5 , if rs 15,000 was their profit , how much amount did b receive .
|
10 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 8 women and 12 children take to complete the work ?
|
[
{
"content": "10 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 8 women and 12 children take to complete the work ?",
"role": "user"
},
{
"content": "How long will it take 8 women and 12 children to complete the work if 10 women take 7 days and 10 children take 14 days?",
"role": "assistant"
}
] |
How long will it take 8 women and 12 children to complete the work if 10 women take 7 days and 10 children take 14 days?
|
10 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 8 women and 12 children take to complete the work ?
|
find the remainder of the division ( 3 ^ 50 ) / 7 .
|
[
{
"content": "find the remainder of the division ( 3 ^ 50 ) / 7 .",
"role": "user"
},
{
"content": "What is the remainder when 3 to the power of 50 is divided by 7?",
"role": "assistant"
}
] |
What is the remainder when 3 to the power of 50 is divided by 7?
|
find the remainder of the division ( 3 ^ 50 ) / 7 .
|
what is the area inscribed by the lines y = 2 , x = 2 , y = 10 - x on an xy - coordinate plane ?
|
[
{
"content": "what is the area inscribed by the lines y = 2 , x = 2 , y = 10 - x on an xy - coordinate plane ?",
"role": "user"
},
{
"content": "What is the area enclosed by the lines y = 2, x = 2, and y = 10 - x on the xy-coordinate plane?",
"role": "assistant"
}
] |
What is the area enclosed by the lines y = 2, x = 2, and y = 10 - x on the xy-coordinate plane?
|
what is the area inscribed by the lines y = 2 , x = 2 , y = 10 - x on an xy - coordinate plane ?
|
alex takes a loan of $ 8,000 to buy a used truck at the rate of 9 % simple interest . calculate the annual interest to be paid for the loan amount .
|
[
{
"content": "alex takes a loan of $ 8,000 to buy a used truck at the rate of 9 % simple interest . calculate the annual interest to be paid for the loan amount .",
"role": "user"
},
{
"content": "What is the annual interest on Alex's $8,000 loan for a used truck at a 9% simple interest rate?",
"role": "assistant"
}
] |
What is the annual interest on Alex's $8,000 loan for a used truck at a 9% simple interest rate?
|
alex takes a loan of $ 8,000 to buy a used truck at the rate of 9 % simple interest . calculate the annual interest to be paid for the loan amount .
|
if n is a positive integer , what is the remainder when ( 4 ^ ( 4 n + 3 ) ) ( 6 ^ n ) is divided by 10 ?
|
[
{
"content": "if n is a positive integer , what is the remainder when ( 4 ^ ( 4 n + 3 ) ) ( 6 ^ n ) is divided by 10 ?",
"role": "user"
},
{
"content": "What is the remainder when the product of ( 4 ^ ( 4 n + 3 ) ) and ( 6 ^ n ) is divided by 10, given that n is a positive integer ?",
"role": "assistant"
}
] |
What is the remainder when the product of ( 4 ^ ( 4 n + 3 ) ) and ( 6 ^ n ) is divided by 10, given that n is a positive integer ?
|
if n is a positive integer , what is the remainder when ( 4 ^ ( 4 n + 3 ) ) ( 6 ^ n ) is divided by 10 ?
|
the price of an item is discounted 10 percent on day 1 of a sale . on day 2 , the item is discounted another 20 percent , and on day 3 , it is discounted an additional 40 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?
|
[
{
"content": "the price of an item is discounted 10 percent on day 1 of a sale . on day 2 , the item is discounted another 20 percent , and on day 3 , it is discounted an additional 40 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?",
"role": "user"
},
{
"content": "What percentage of the day 1 sale price does the item cost on day 3 after the discounts ?",
"role": "assistant"
}
] |
What percentage of the day 1 sale price does the item cost on day 3 after the discounts ?
|
the price of an item is discounted 10 percent on day 1 of a sale . on day 2 , the item is discounted another 20 percent , and on day 3 , it is discounted an additional 40 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?
|
the probability that a man will be alive for 10 more yrs is 1 / 3 & the probability that his wife will alive for 10 more yrs is 2 / 5 . the probability that none of them will be alive for 10 more yrs , is
|
[
{
"content": "the probability that a man will be alive for 10 more yrs is 1 / 3 & the probability that his wife will alive for 10 more yrs is 2 / 5 . the probability that none of them will be alive for 10 more yrs , is",
"role": "user"
},
{
"content": "The probability that the man will survive 10 more years is 1/3, and the probability that his wife will survive 10 more years is 2/5. What is the probability that neither of them will survive 10 more years?",
"role": "assistant"
}
] |
The probability that the man will survive 10 more years is 1/3, and the probability that his wife will survive 10 more years is 2/5. What is the probability that neither of them will survive 10 more years?
|
the probability that a man will be alive for 10 more yrs is 1 / 3 & the probability that his wife will alive for 10 more yrs is 2 / 5 . the probability that none of them will be alive for 10 more yrs , is
|
a 9 by 12 rectangle is inscribed in circle . what is the circumference of the circle ?
|
[
{
"content": "a 9 by 12 rectangle is inscribed in circle . what is the circumference of the circle ?",
"role": "user"
},
{
"content": "What is the circumference of the circle that circumscribes a 9 by 12 rectangle?",
"role": "assistant"
}
] |
What is the circumference of the circle that circumscribes a 9 by 12 rectangle?
|
a 9 by 12 rectangle is inscribed in circle . what is the circumference of the circle ?
|
each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 28 have long fur , 17 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ?
|
[
{
"content": "each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 28 have long fur , 17 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ?",
"role": "user"
},
{
"content": "What is the number of long-furred dogs that are brown in the kennel?",
"role": "assistant"
}
] |
What is the number of long-furred dogs that are brown in the kennel?
|
each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 28 have long fur , 17 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ?
|
when tossed , a certain coin has equal probability of landing on either side . if the coin is tossed 4 times , what is the probability that it will land twice on heads and twice tails ?
|
[
{
"content": "when tossed , a certain coin has equal probability of landing on either side . if the coin is tossed 4 times , what is the probability that it will land twice on heads and twice tails ?",
"role": "user"
},
{
"content": "With a coin that has an equal chance of landing on either side when flipped, what's the probability of getting two heads and two tails in four tosses",
"role": "assistant"
}
] |
With a coin that has an equal chance of landing on either side when flipped, what's the probability of getting two heads and two tails in four tosses
|
when tossed , a certain coin has equal probability of landing on either side . if the coin is tossed 4 times , what is the probability that it will land twice on heads and twice tails ?
|
the effective annual rate of interest corresponding to a nominal rate of 14 % per annum payable half - yearly is ?
|
[
{
"content": "the effective annual rate of interest corresponding to a nominal rate of 14 % per annum payable half - yearly is ?",
"role": "user"
},
{
"content": "What is the effective annual interest rate for a 14% nominal rate per year, compounded semi-annually?",
"role": "assistant"
}
] |
What is the effective annual interest rate for a 14% nominal rate per year, compounded semi-annually?
|
the effective annual rate of interest corresponding to a nominal rate of 14 % per annum payable half - yearly is ?
|
mary ' s income is 60 percent more than tim ' s income , and tim ' s income is 50 percent less than juan ' s income . what percent of juan ' s income is mary ' s income ?
|
[
{
"content": "mary ' s income is 60 percent more than tim ' s income , and tim ' s income is 50 percent less than juan ' s income . what percent of juan ' s income is mary ' s income ?",
"role": "user"
},
{
"content": "What percentage of Juan's income is Mary's, if Mary's income is 60% more than Tim's, and Tim's income is 50% less than Juan's?",
"role": "assistant"
}
] |
What percentage of Juan's income is Mary's, if Mary's income is 60% more than Tim's, and Tim's income is 50% less than Juan's?
|
mary ' s income is 60 percent more than tim ' s income , and tim ' s income is 50 percent less than juan ' s income . what percent of juan ' s income is mary ' s income ?
|
the circumferences of the fore and hind - wheels of a carriage are 2 2 / 5 and 3 3 / 7 meters respectively . a chalk mark is put on the point of contact of each wheel with the ground at any given moment . how far will the carriage have travelled so that their chalk marks may be again on the ground at the same time ?
|
[
{
"content": "the circumferences of the fore and hind - wheels of a carriage are 2 2 / 5 and 3 3 / 7 meters respectively . a chalk mark is put on the point of contact of each wheel with the ground at any given moment . how far will the carriage have travelled so that their chalk marks may be again on the ground at the same time ?",
"role": "user"
},
{
"content": "At what distance will the carriage travel so that the chalk marks on the fore and hind wheels, with circumferences of 2 2/5 and 3 3/7 meters respectively, are simultaneously on the ground again?",
"role": "assistant"
}
] |
At what distance will the carriage travel so that the chalk marks on the fore and hind wheels, with circumferences of 2 2/5 and 3 3/7 meters respectively, are simultaneously on the ground again?
|
the circumferences of the fore and hind - wheels of a carriage are 2 2 / 5 and 3 3 / 7 meters respectively . a chalk mark is put on the point of contact of each wheel with the ground at any given moment . how far will the carriage have travelled so that their chalk marks may be again on the ground at the same time ?
|
a can do a piece of work in 5 days and b can do it in 4 days how long will they both work together to complete the work ?
|
[
{
"content": "a can do a piece of work in 5 days and b can do it in 4 days how long will they both work together to complete the work ?",
"role": "user"
},
{
"content": "How long will it take for A and B to finish the job together if A can do it in 5 days and B can do it in 4 days?",
"role": "assistant"
}
] |
How long will it take for A and B to finish the job together if A can do it in 5 days and B can do it in 4 days?
|
a can do a piece of work in 5 days and b can do it in 4 days how long will they both work together to complete the work ?
|
if 5 ^ 5 × 5 ^ x = ( 125 ) ^ 4 , then what is the value of x ?
|
[
{
"content": "if 5 ^ 5 × 5 ^ x = ( 125 ) ^ 4 , then what is the value of x ?",
"role": "user"
},
{
"content": "What is the value of x in the equation 5 ^ 5 × 5 ^ x = ( 125 ) ^ 4 ?",
"role": "assistant"
}
] |
What is the value of x in the equation 5 ^ 5 × 5 ^ x = ( 125 ) ^ 4 ?
|
if 5 ^ 5 × 5 ^ x = ( 125 ) ^ 4 , then what is the value of x ?
|
a 100 - litre mixture of milk and water contains 30.25 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 25 % . what is the value of x ?
|
[
{
"content": "a 100 - litre mixture of milk and water contains 30.25 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 25 % . what is the value of x ?",
"role": "user"
},
{
"content": "What is the value of 'x' when 100 litres of a milk-water mixture with 30.25 litres of milk has 'x' litres replaced with water, and after repeating this process, the milk concentration is reduced to 25%?",
"role": "assistant"
}
] |
What is the value of 'x' when 100 litres of a milk-water mixture with 30.25 litres of milk has 'x' litres replaced with water, and after repeating this process, the milk concentration is reduced to 25%?
|
a 100 - litre mixture of milk and water contains 30.25 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 25 % . what is the value of x ?
|
m and n are the x and y coordinates , respectively , of a point in the coordinate plane . if the points ( m , n ) and ( m + p , n + 12 ) both lie on the line defined by the equation x = ( y / 4 ) - ( 2 / 5 ) , what is the value of p ?
|
[
{
"content": "m and n are the x and y coordinates , respectively , of a point in the coordinate plane . if the points ( m , n ) and ( m + p , n + 12 ) both lie on the line defined by the equation x = ( y / 4 ) - ( 2 / 5 ) , what is the value of p ?",
"role": "user"
},
{
"content": "What is p if points (m, n) and (m + p, n + 12) are on the line x = (y / 4) - (2 / 5)?",
"role": "assistant"
}
] |
What is p if points (m, n) and (m + p, n + 12) are on the line x = (y / 4) - (2 / 5)?
|
m and n are the x and y coordinates , respectively , of a point in the coordinate plane . if the points ( m , n ) and ( m + p , n + 12 ) both lie on the line defined by the equation x = ( y / 4 ) - ( 2 / 5 ) , what is the value of p ?
|
1000 men have provisions for 15 days . if 300 more men join them , for how many days will the provisions last now ?
|
[
{
"content": "1000 men have provisions for 15 days . if 300 more men join them , for how many days will the provisions last now ?",
"role": "user"
},
{
"content": "If 300 additional men join the 1000 men with 15 days of provisions, how long will the supplies last?",
"role": "assistant"
}
] |
If 300 additional men join the 1000 men with 15 days of provisions, how long will the supplies last?
|
1000 men have provisions for 15 days . if 300 more men join them , for how many days will the provisions last now ?
|
the equation of line a is y = 4 / 3 * x - 100 . what is the smallest possible distance in the xy - plane from the point with coordinates ( 0 , 0 ) to any point on line a ?
|
[
{
"content": "the equation of line a is y = 4 / 3 * x - 100 . what is the smallest possible distance in the xy - plane from the point with coordinates ( 0 , 0 ) to any point on line a ?",
"role": "user"
},
{
"content": "What is the shortest distance from point (0,0) to line a, given its equation y = 4/3 * x - 100 in the xy-plane?",
"role": "assistant"
}
] |
What is the shortest distance from point (0,0) to line a, given its equation y = 4/3 * x - 100 in the xy-plane?
|
the equation of line a is y = 4 / 3 * x - 100 . what is the smallest possible distance in the xy - plane from the point with coordinates ( 0 , 0 ) to any point on line a ?
|
the average age of applicants for a new job is 31 , with a standard deviation of 6 . the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age . what is the maximum number of different ages of the applicants ?
|
[
{
"content": "the average age of applicants for a new job is 31 , with a standard deviation of 6 . the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age . what is the maximum number of different ages of the applicants ?",
"role": "user"
},
{
"content": "What is the maximum number of different ages that the hiring manager will consider for the job applicants, given that the average age is 31 and the standard deviation is 6?",
"role": "assistant"
}
] |
What is the maximum number of different ages that the hiring manager will consider for the job applicants, given that the average age is 31 and the standard deviation is 6?
|
the average age of applicants for a new job is 31 , with a standard deviation of 6 . the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age . what is the maximum number of different ages of the applicants ?
|
20 men take 21 days of 8 hours each to do a piece of work . how many days of 6 hours each would 21 women take to do the same . if 3 women do as much work as 2 men ?
|
[
{
"content": "20 men take 21 days of 8 hours each to do a piece of work . how many days of 6 hours each would 21 women take to do the same . if 3 women do as much work as 2 men ?",
"role": "user"
},
{
"content": "If 3 women are equivalent to 2 men in terms of work, how many 6-hour days would it take for 21 women to complete the same job that 20 men finished in 21 days of 8 hours each.",
"role": "assistant"
}
] |
If 3 women are equivalent to 2 men in terms of work, how many 6-hour days would it take for 21 women to complete the same job that 20 men finished in 21 days of 8 hours each.
|
20 men take 21 days of 8 hours each to do a piece of work . how many days of 6 hours each would 21 women take to do the same . if 3 women do as much work as 2 men ?
|
the class mean score on a test was 40 , and the standard deviation was 15 . if jack ' s score was within 2 standard deviations of the mean , what is the lowest score he could have received ?
|
[
{
"content": "the class mean score on a test was 40 , and the standard deviation was 15 . if jack ' s score was within 2 standard deviations of the mean , what is the lowest score he could have received ?",
"role": "user"
},
{
"content": "What is the lowest possible score for Jack if his test score was within 2 standard deviations of the class mean of 40 , given a standard deviation of 15 ?",
"role": "assistant"
}
] |
What is the lowest possible score for Jack if his test score was within 2 standard deviations of the class mean of 40 , given a standard deviation of 15 ?
|
the class mean score on a test was 40 , and the standard deviation was 15 . if jack ' s score was within 2 standard deviations of the mean , what is the lowest score he could have received ?
|
machine a produces 100 parts thrice as fast as machine b does . machine b produces 100 parts in 30 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 6 minutes ?
|
[
{
"content": "machine a produces 100 parts thrice as fast as machine b does . machine b produces 100 parts in 30 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 6 minutes ?",
"role": "user"
},
{
"content": "Machine A produces 100 parts three times faster than Machine B. Machine B produces 100 parts in 30 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?",
"role": "assistant"
}
] |
Machine A produces 100 parts three times faster than Machine B. Machine B produces 100 parts in 30 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?
|
machine a produces 100 parts thrice as fast as machine b does . machine b produces 100 parts in 30 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 6 minutes ?
|
machine x takes 80 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce
|
[
{
"content": "machine x takes 80 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text, preserving the original structure and semantics:\n\nMachine X requires 80 more hours than Machine Y to produce 1080 widgets. Machine Y produces 20% more widgets per hour than Machine X. What is Machine X's hourly widget production rate?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text, preserving the original structure and semantics:
Machine X requires 80 more hours than Machine Y to produce 1080 widgets. Machine Y produces 20% more widgets per hour than Machine X. What is Machine X's hourly widget production rate?
|
machine x takes 80 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce
|
in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ?
|
[
{
"content": "in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ?",
"role": "user"
},
{
"content": "In the faculty of reverse engineering, 226 second-year students study numerical methods, 423 study automatic control of airborne vehicles, and 134 study both. What is the total number of students in the faculty if second-year students make up approximately 80% of the total?",
"role": "assistant"
}
] |
In the faculty of reverse engineering, 226 second-year students study numerical methods, 423 study automatic control of airborne vehicles, and 134 study both. What is the total number of students in the faculty if second-year students make up approximately 80% of the total?
|
in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ?
|
the average of 5 quantities is 9 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ?
|
[
{
"content": "the average of 5 quantities is 9 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ?",
"role": "user"
},
{
"content": "What is the average of the other two numbers?",
"role": "assistant"
}
] |
What is the average of the other two numbers?
|
the average of 5 quantities is 9 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ?
|
two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 60 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?
|
[
{
"content": "two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 60 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?",
"role": "user"
},
{
"content": "What time will it take for the slower train to pass the driver of the faster train, given that two 500m long goods trains are moving in opposite directions on parallel tracks at speeds of 60 km/hr and 30 km/hr?",
"role": "assistant"
}
] |
What time will it take for the slower train to pass the driver of the faster train, given that two 500m long goods trains are moving in opposite directions on parallel tracks at speeds of 60 km/hr and 30 km/hr?
|
two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 60 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?
|
the average height of 30 students in a class was calculated as 177 cm . it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 106 cm . what was the actual average height of the students in the class ?
|
[
{
"content": "the average height of 30 students in a class was calculated as 177 cm . it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 106 cm . what was the actual average height of the students in the class ?",
"role": "user"
},
{
"content": "What was the corrected average height of the class after the error in one student's height was corrected from 151 cm to 106 cm",
"role": "assistant"
}
] |
What was the corrected average height of the class after the error in one student's height was corrected from 151 cm to 106 cm
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the average height of 30 students in a class was calculated as 177 cm . it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 106 cm . what was the actual average height of the students in the class ?
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a man is walking at a speed of 10 km per hour . after every kilometre , he takes rest for 6 minutes . how much time will be take to cover a distance of 6 kilometres ?
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[
{
"content": "a man is walking at a speed of 10 km per hour . after every kilometre , he takes rest for 6 minutes . how much time will be take to cover a distance of 6 kilometres ?",
"role": "user"
},
{
"content": "A man walks at a speed of 10 km/h. He rests for 6 minutes after every km. How long will it take him to cover 6 km?",
"role": "assistant"
}
] |
A man walks at a speed of 10 km/h. He rests for 6 minutes after every km. How long will it take him to cover 6 km?
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a man is walking at a speed of 10 km per hour . after every kilometre , he takes rest for 6 minutes . how much time will be take to cover a distance of 6 kilometres ?
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a train 150 m long passes a km stone in 15 seconds and another train of the same length travelling in opposite direction in 8 seconds . the speed of the second train is
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[
{
"content": "a train 150 m long passes a km stone in 15 seconds and another train of the same length travelling in opposite direction in 8 seconds . the speed of the second train is",
"role": "user"
},
{
"content": "A train 150m long passes a kilometer stone in 15 seconds and another train of the same length traveling in the opposite direction in 8 seconds; what is the speed of the second train?",
"role": "assistant"
}
] |
A train 150m long passes a kilometer stone in 15 seconds and another train of the same length traveling in the opposite direction in 8 seconds; what is the speed of the second train?
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a train 150 m long passes a km stone in 15 seconds and another train of the same length travelling in opposite direction in 8 seconds . the speed of the second train is
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