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an electric pump can fill a tank in 4 hours . because of a leak in the tank , it took 8 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ?
|
[
{
"content": "an electric pump can fill a tank in 4 hours . because of a leak in the tank , it took 8 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ?",
"role": "user"
},
{
"content": "Here are the paraphrased versions:\n\n* an electric pump can fill a tank in 4 hours -> A tank can be filled by an electric pump in 4 hours.\n* because of a leak in the tank , it took 8 hours to fill the tank -> Due to a leak in the tank, the time taken to fill the tank was 8 hours.\n* if the tank is full , how much time will the leak take to empty it ? -> If the tank is full, how long will it take for the leak to drain it?",
"role": "assistant"
}
] |
Here are the paraphrased versions:
* an electric pump can fill a tank in 4 hours -> A tank can be filled by an electric pump in 4 hours.
* because of a leak in the tank , it took 8 hours to fill the tank -> Due to a leak in the tank, the time taken to fill the tank was 8 hours.
* if the tank is full , how much time will the leak take to empty it ? -> If the tank is full, how long will it take for the leak to drain it?
|
an electric pump can fill a tank in 4 hours . because of a leak in the tank , it took 8 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ?
|
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 203 ?
|
[
{
"content": "at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 203 ?",
"role": "user"
},
{
"content": "How many hot dogs can be purchased at the wholesale store with $203, given the available packs and prices?",
"role": "assistant"
}
] |
How many hot dogs can be purchased at the wholesale store with $203, given the available packs and prices?
|
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 203 ?
|
sari and ken climb up a mountain . at night , they camp together . on the day they are supposed to reach the summit , sari wakes up at 07 : 00 and starts climbing at a constant pace . ken starts climbing only at 09 : 00 , when sari is already 700 meters ahead of him . nevertheless , ken climbs at a constant pace of 500 meters per hour , and reaches the summit before sari . if sari is 50 meters behind ken when he reaches the summit , at what time did ken reach the summit ?
|
[
{
"content": "sari and ken climb up a mountain . at night , they camp together . on the day they are supposed to reach the summit , sari wakes up at 07 : 00 and starts climbing at a constant pace . ken starts climbing only at 09 : 00 , when sari is already 700 meters ahead of him . nevertheless , ken climbs at a constant pace of 500 meters per hour , and reaches the summit before sari . if sari is 50 meters behind ken when he reaches the summit , at what time did ken reach the summit ?",
"role": "user"
},
{
"content": "At what time did ken reach the summit, if sari was 50 meters behind him when he reached the summit, having started 2 hours after sari, who had a 700 meter head start.",
"role": "assistant"
}
] |
At what time did ken reach the summit, if sari was 50 meters behind him when he reached the summit, having started 2 hours after sari, who had a 700 meter head start.
|
sari and ken climb up a mountain . at night , they camp together . on the day they are supposed to reach the summit , sari wakes up at 07 : 00 and starts climbing at a constant pace . ken starts climbing only at 09 : 00 , when sari is already 700 meters ahead of him . nevertheless , ken climbs at a constant pace of 500 meters per hour , and reaches the summit before sari . if sari is 50 meters behind ken when he reaches the summit , at what time did ken reach the summit ?
|
if 3 girls can do 3 times of a particular work in 3 days , then , 7 girls can do 7 times of that work in
|
[
{
"content": "if 3 girls can do 3 times of a particular work in 3 days , then , 7 girls can do 7 times of that work in",
"role": "user"
},
{
"content": "if 3 girls can do 3 times a particular work in 3 days , then 7 girls can do 7 times that work in",
"role": "assistant"
}
] |
if 3 girls can do 3 times a particular work in 3 days , then 7 girls can do 7 times that work in
|
if 3 girls can do 3 times of a particular work in 3 days , then , 7 girls can do 7 times of that work in
|
a sum fetched a total simple interest of 4043.25 at the rate of 9 % . p . a . in 5 years . what is the sum ?
|
[
{
"content": "a sum fetched a total simple interest of 4043.25 at the rate of 9 % . p . a . in 5 years . what is the sum ?",
"role": "user"
},
{
"content": "What is the principal amount that earned a simple interest of 4043.25 at a 9% annual rate over 5 years?",
"role": "assistant"
}
] |
What is the principal amount that earned a simple interest of 4043.25 at a 9% annual rate over 5 years?
|
a sum fetched a total simple interest of 4043.25 at the rate of 9 % . p . a . in 5 years . what is the sum ?
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when 52416 is divided by 312 , the quotient is 168 . what will be the quotient when 52.416 is divided by 0.68 ?
|
[
{
"content": "when 52416 is divided by 312 , the quotient is 168 . what will be the quotient when 52.416 is divided by 0.68 ?",
"role": "user"
},
{
"content": "What is the quotient when 52.416 is divided by 0.68 ?",
"role": "assistant"
}
] |
What is the quotient when 52.416 is divided by 0.68 ?
|
when 52416 is divided by 312 , the quotient is 168 . what will be the quotient when 52.416 is divided by 0.68 ?
|
arun is travelling on his cycle and has calculated to reach point a at 2 pm if he travels at 10 kmph . he will reach there at 12 noon if he travels at 15 kmph . at what speed must he travel to reach a at 1 pm ?
|
[
{
"content": "arun is travelling on his cycle and has calculated to reach point a at 2 pm if he travels at 10 kmph . he will reach there at 12 noon if he travels at 15 kmph . at what speed must he travel to reach a at 1 pm ?",
"role": "user"
},
{
"content": "At what speed will Arun need to travel to reach point A at 1 pm, given that he'll arrive at 2 pm at 10 kmph and 12 noon at 15 kmph?",
"role": "assistant"
}
] |
At what speed will Arun need to travel to reach point A at 1 pm, given that he'll arrive at 2 pm at 10 kmph and 12 noon at 15 kmph?
|
arun is travelling on his cycle and has calculated to reach point a at 2 pm if he travels at 10 kmph . he will reach there at 12 noon if he travels at 15 kmph . at what speed must he travel to reach a at 1 pm ?
|
rs . 600 amounts to rs . 900 in 3 years at simple interest . if the interest is increased by 4 % , it would amount to how much ?
|
[
{
"content": "rs . 600 amounts to rs . 900 in 3 years at simple interest . if the interest is increased by 4 % , it would amount to how much ?",
"role": "user"
},
{
"content": "If the interest rate is increased by 4%, what would be the total amount after 3 years, given that Rs. 600 becomes Rs. 900 at simple interest?",
"role": "assistant"
}
] |
If the interest rate is increased by 4%, what would be the total amount after 3 years, given that Rs. 600 becomes Rs. 900 at simple interest?
|
rs . 600 amounts to rs . 900 in 3 years at simple interest . if the interest is increased by 4 % , it would amount to how much ?
|
the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 600 resolutions .
|
[
{
"content": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 600 resolutions .",
"role": "user"
},
{
"content": "The wheel's radius is 22.4 cm; what distance does it cover after 600 revolutions?",
"role": "assistant"
}
] |
The wheel's radius is 22.4 cm; what distance does it cover after 600 revolutions?
|
the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 600 resolutions .
|
the angle between the minute hand and the hour hand of a clock when the time is 7.30 , is
|
[
{
"content": "the angle between the minute hand and the hour hand of a clock when the time is 7.30 , is",
"role": "user"
},
{
"content": "the angle between the minute hand and the hour hand of a clock at 7:30 is",
"role": "assistant"
}
] |
the angle between the minute hand and the hour hand of a clock at 7:30 is
|
the angle between the minute hand and the hour hand of a clock when the time is 7.30 , is
|
find the least number which when divided by 26 , 36 and 46 leaves the remainders 12 , 22 and 32 respectively .
|
[
{
"content": "find the least number which when divided by 26 , 36 and 46 leaves the remainders 12 , 22 and 32 respectively .",
"role": "user"
},
{
"content": "What is the smallest number that, when divided by 26, 36, and 46, gives remainders of 12, 22, and 32, respectively?",
"role": "assistant"
}
] |
What is the smallest number that, when divided by 26, 36, and 46, gives remainders of 12, 22, and 32, respectively?
|
find the least number which when divided by 26 , 36 and 46 leaves the remainders 12 , 22 and 32 respectively .
|
a certain bag contains 100 balls â € ” 50 white , 25 green , 10 yellow , 7 red , and 8 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?
|
[
{
"content": "a certain bag contains 100 balls â € ” 50 white , 25 green , 10 yellow , 7 red , and 8 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?",
"role": "user"
},
{
"content": "In a bag containing 100 balls - 50 white, 25 green, 10 yellow, 7 red, and 8 purple, what is the likelihood of randomly selecting a ball that is not red or purple?",
"role": "assistant"
}
] |
In a bag containing 100 balls - 50 white, 25 green, 10 yellow, 7 red, and 8 purple, what is the likelihood of randomly selecting a ball that is not red or purple?
|
a certain bag contains 100 balls â € ” 50 white , 25 green , 10 yellow , 7 red , and 8 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?
|
a 1 k . m . long wire is held by n poles . if one pole is removed , the length of the gap becomes 12 / 3 m . what is the number of poles initially ?
|
[
{
"content": "a 1 k . m . long wire is held by n poles . if one pole is removed , the length of the gap becomes 12 / 3 m . what is the number of poles initially ?",
"role": "user"
},
{
"content": "A 1 km long wire is held by n poles. If one pole is removed, the length of the gap becomes 4 m. What is the initial number of poles?",
"role": "assistant"
}
] |
A 1 km long wire is held by n poles. If one pole is removed, the length of the gap becomes 4 m. What is the initial number of poles?
|
a 1 k . m . long wire is held by n poles . if one pole is removed , the length of the gap becomes 12 / 3 m . what is the number of poles initially ?
|
a certain deep blue paint contains 45 percent blue pigment and 55 percent red pigment by weight . a certain green paint contains 35 percent blue pigment and 65 percent yellow pigment . when these paints are mixed to produce a brown paint , the brown paint contains 40 percent blue pigment . if the brown paint weighs 10 grams , then the red pigment contributes how many grams of that weight ?
|
[
{
"content": "a certain deep blue paint contains 45 percent blue pigment and 55 percent red pigment by weight . a certain green paint contains 35 percent blue pigment and 65 percent yellow pigment . when these paints are mixed to produce a brown paint , the brown paint contains 40 percent blue pigment . if the brown paint weighs 10 grams , then the red pigment contributes how many grams of that weight ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text, preserving the original structure and semantics:\n\nA specific deep blue paint is composed of 45% blue pigment and 55% red pigment by weight. A certain green paint is made up of 35% blue pigment and 65% yellow pigment. When these paints are combined to create a brown paint, the resulting brown paint contains 40% blue pigment. If the brown paint weighs 10 grams, how many grams of its weight can be attributed to the red pigment?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text, preserving the original structure and semantics:
A specific deep blue paint is composed of 45% blue pigment and 55% red pigment by weight. A certain green paint is made up of 35% blue pigment and 65% yellow pigment. When these paints are combined to create a brown paint, the resulting brown paint contains 40% blue pigment. If the brown paint weighs 10 grams, how many grams of its weight can be attributed to the red pigment?
|
a certain deep blue paint contains 45 percent blue pigment and 55 percent red pigment by weight . a certain green paint contains 35 percent blue pigment and 65 percent yellow pigment . when these paints are mixed to produce a brown paint , the brown paint contains 40 percent blue pigment . if the brown paint weighs 10 grams , then the red pigment contributes how many grams of that weight ?
|
the angle between the minute hand and the hour hand of a clock when the time is 4.20 , is
|
[
{
"content": "the angle between the minute hand and the hour hand of a clock when the time is 4.20 , is",
"role": "user"
},
{
"content": "the angle between the minute and hour hands of a clock at 4:20 is",
"role": "assistant"
}
] |
the angle between the minute and hour hands of a clock at 4:20 is
|
the angle between the minute hand and the hour hand of a clock when the time is 4.20 , is
|
p and q started a business investing rs . 48,000 and rs . 24,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ?
|
[
{
"content": "p and q started a business investing rs . 48,000 and rs . 24,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ?",
"role": "user"
},
{
"content": "What is the ratio in which the profit after 2 years should be divided between P and Q, who invested Rs. 48,000 and Rs. 24,000 respectively?",
"role": "assistant"
}
] |
What is the ratio in which the profit after 2 years should be divided between P and Q, who invested Rs. 48,000 and Rs. 24,000 respectively?
|
p and q started a business investing rs . 48,000 and rs . 24,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ?
|
the average expenditure of a labourer for 6 months was 95 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income i
|
[
{
"content": "the average expenditure of a labourer for 6 months was 95 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income i",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text, preserving the original structure and semantics:\n\nA laborer's average spending for 6 months was $95, resulting in debt. In the following 4 months, he reduced his monthly expenses to $60, not only paying off his debt but also saving $30. His monthly income is",
"role": "assistant"
}
] |
Here's a paraphrased version of the text, preserving the original structure and semantics:
A laborer's average spending for 6 months was $95, resulting in debt. In the following 4 months, he reduced his monthly expenses to $60, not only paying off his debt but also saving $30. His monthly income is
|
the average expenditure of a labourer for 6 months was 95 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income i
|
the least number which must be subtracted from 6709 to make it exactly divisible by 9 is :
|
[
{
"content": "the least number which must be subtracted from 6709 to make it exactly divisible by 9 is :",
"role": "user"
},
{
"content": "the least number that needs to be subtracted from 6709 to make it a multiple of 9 is",
"role": "assistant"
}
] |
the least number that needs to be subtracted from 6709 to make it a multiple of 9 is
|
the least number which must be subtracted from 6709 to make it exactly divisible by 9 is :
|
xavier starts from p towards q at a speed of 90 kmph and after every 12 mins increases his speed by 20 kmph . if the distance between p and q is 61 km , then how much time does he take to cover the distance ?
|
[
{
"content": "xavier starts from p towards q at a speed of 90 kmph and after every 12 mins increases his speed by 20 kmph . if the distance between p and q is 61 km , then how much time does he take to cover the distance ?",
"role": "user"
},
{
"content": "Xavier travels from P to Q at 90 km/h, increasing his speed by 20 km/h every 12 minutes; how long will it take him to cover the 61 km between P and Q?",
"role": "assistant"
}
] |
Xavier travels from P to Q at 90 km/h, increasing his speed by 20 km/h every 12 minutes; how long will it take him to cover the 61 km between P and Q?
|
xavier starts from p towards q at a speed of 90 kmph and after every 12 mins increases his speed by 20 kmph . if the distance between p and q is 61 km , then how much time does he take to cover the distance ?
|
if 60 % of 3 / 5 of a number is 18 , then the number is ?
|
[
{
"content": "if 60 % of 3 / 5 of a number is 18 , then the number is ?",
"role": "user"
},
{
"content": "What is the number if 60% of 3/5 of it equals 18?",
"role": "assistant"
}
] |
What is the number if 60% of 3/5 of it equals 18?
|
if 60 % of 3 / 5 of a number is 18 , then the number is ?
|
a driver just filled the car ' s gas tank with 18 liters of gasohol , a mixture consisting of 5 % ethanol and 95 % gasoline . if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline , how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance ?
|
[
{
"content": "a driver just filled the car ' s gas tank with 18 liters of gasohol , a mixture consisting of 5 % ethanol and 95 % gasoline . if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline , how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance ?",
"role": "user"
},
{
"content": "To achieve optimal performance, how many liters of ethanol need to be added to the gas tank, which currently contains 18 liters of gasohol with 5% ethanol and 95% gasoline, to obtain a mixture of 10% ethanol and 90% gasoline?",
"role": "assistant"
}
] |
To achieve optimal performance, how many liters of ethanol need to be added to the gas tank, which currently contains 18 liters of gasohol with 5% ethanol and 95% gasoline, to obtain a mixture of 10% ethanol and 90% gasoline?
|
a driver just filled the car ' s gas tank with 18 liters of gasohol , a mixture consisting of 5 % ethanol and 95 % gasoline . if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline , how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance ?
|
in covering a distance of 30 km , arun takes 22 hours more than anil . if arun doubles his speed , then he would take 1 hour less than anil . what is arun ' s speed ?
|
[
{
"content": "in covering a distance of 30 km , arun takes 22 hours more than anil . if arun doubles his speed , then he would take 1 hour less than anil . what is arun ' s speed ?",
"role": "user"
},
{
"content": "What speed does Arun have if he takes 22 hours more than Anil to cover 30 km, and would take 1 hour less if he doubled his speed?",
"role": "assistant"
}
] |
What speed does Arun have if he takes 22 hours more than Anil to cover 30 km, and would take 1 hour less if he doubled his speed?
|
in covering a distance of 30 km , arun takes 22 hours more than anil . if arun doubles his speed , then he would take 1 hour less than anil . what is arun ' s speed ?
|
in the new budget the price of wheat rose by 8 % . by how much percent must a person reduce his consumption so that his expenditure on it does not increase ?
|
[
{
"content": "in the new budget the price of wheat rose by 8 % . by how much percent must a person reduce his consumption so that his expenditure on it does not increase ?",
"role": "user"
},
{
"content": "To maintain the same expenditure on wheat, what percentage reduction in consumption is required to offset the 8% price increase in the new budget?",
"role": "assistant"
}
] |
To maintain the same expenditure on wheat, what percentage reduction in consumption is required to offset the 8% price increase in the new budget?
|
in the new budget the price of wheat rose by 8 % . by how much percent must a person reduce his consumption so that his expenditure on it does not increase ?
|
find the length of the wire required to go 12 times round a square field containing 104976 m 2 .
|
[
{
"content": "find the length of the wire required to go 12 times round a square field containing 104976 m 2 .",
"role": "user"
},
{
"content": "What is the length of the wire needed to encircle a square field with an area of 104976 m2 12 times.",
"role": "assistant"
}
] |
What is the length of the wire needed to encircle a square field with an area of 104976 m2 12 times.
|
find the length of the wire required to go 12 times round a square field containing 104976 m 2 .
|
three numbers are in the ratio 5 : 4 : 3 and their average is 360 . the largest number is :
|
[
{
"content": "three numbers are in the ratio 5 : 4 : 3 and their average is 360 . the largest number is :",
"role": "user"
},
{
"content": "Three numbers are in a 5 : 4 : 3 ratio and their average is 360, what is the largest number?",
"role": "assistant"
}
] |
Three numbers are in a 5 : 4 : 3 ratio and their average is 360, what is the largest number?
|
three numbers are in the ratio 5 : 4 : 3 and their average is 360 . the largest number is :
|
a , b and c started a business with a total investment of rs . 72000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find a ' s share .
|
[
{
"content": "a , b and c started a business with a total investment of rs . 72000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find a ' s share .",
"role": "user"
},
{
"content": "What is A's share of the Rs. 8640 profit at the end of the year, given that A, B, and C started a business with a total investment of Rs. 72000, where A invested Rs. 6000 more than B, and B invested Rs. 3000 less than C.",
"role": "assistant"
}
] |
What is A's share of the Rs. 8640 profit at the end of the year, given that A, B, and C started a business with a total investment of Rs. 72000, where A invested Rs. 6000 more than B, and B invested Rs. 3000 less than C.
|
a , b and c started a business with a total investment of rs . 72000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find a ' s share .
|
a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction e of the sum of the 21 numbers in the list ?
|
[
{
"content": "a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction e of the sum of the 21 numbers in the list ?",
"role": "user"
},
{
"content": "What fraction of the total sum of 21 numbers is n, if n is 4 times the average of the remaining 20 numbers in the list?",
"role": "assistant"
}
] |
What fraction of the total sum of 21 numbers is n, if n is 4 times the average of the remaining 20 numbers in the list?
|
a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction e of the sum of the 21 numbers in the list ?
|
( 4300331 ) - ? = 2535618
|
[
{
"content": "( 4300331 ) - ? = 2535618",
"role": "user"
},
{
"content": "What number when subtracted from 4300331 equals 2535618",
"role": "assistant"
}
] |
What number when subtracted from 4300331 equals 2535618
|
( 4300331 ) - ? = 2535618
|
a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets euro 1000 more than d , what is b ' s share ?
|
[
{
"content": "a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets euro 1000 more than d , what is b ' s share ?",
"role": "user"
},
{
"content": "How much will B receive if a sum is divided among A, B, C, and D in a 5:2:4:3 ratio and C receives 1000 euros more than D?",
"role": "assistant"
}
] |
How much will B receive if a sum is divided among A, B, C, and D in a 5:2:4:3 ratio and C receives 1000 euros more than D?
|
a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets euro 1000 more than d , what is b ' s share ?
|
the simple form of the ratio 4 / 3 : 4 / 5 is ?
|
[
{
"content": "the simple form of the ratio 4 / 3 : 4 / 5 is ?",
"role": "user"
},
{
"content": "what is the simple form of the ratio 4/3 : 4/5 ?",
"role": "assistant"
}
] |
what is the simple form of the ratio 4/3 : 4/5 ?
|
the simple form of the ratio 4 / 3 : 4 / 5 is ?
|
the s . i . on a certain sum of money for 5 years at 6 % per annum is half the c . i . on rs . 3000 for 2 years at 15 % per annum . the sum placed on s . i . is ?
|
[
{
"content": "the s . i . on a certain sum of money for 5 years at 6 % per annum is half the c . i . on rs . 3000 for 2 years at 15 % per annum . the sum placed on s . i . is ?",
"role": "user"
},
{
"content": "What is the principal amount on which simple interest is calculated for 5 years at a 6% annual rate, given that it's half the compound interest on Rs. 3000 for 2 years at a 15% annual rate?",
"role": "assistant"
}
] |
What is the principal amount on which simple interest is calculated for 5 years at a 6% annual rate, given that it's half the compound interest on Rs. 3000 for 2 years at a 15% annual rate?
|
the s . i . on a certain sum of money for 5 years at 6 % per annum is half the c . i . on rs . 3000 for 2 years at 15 % per annum . the sum placed on s . i . is ?
|
if a and b are positive integers , and a = 20 b - 15 , the greatest common divisor of a and b can not be
|
[
{
"content": "if a and b are positive integers , and a = 20 b - 15 , the greatest common divisor of a and b can not be",
"role": "user"
},
{
"content": "if a and b are positive integers, and a = 20b - 15, what is the greatest common divisor of a and b?",
"role": "assistant"
}
] |
if a and b are positive integers, and a = 20b - 15, what is the greatest common divisor of a and b?
|
if a and b are positive integers , and a = 20 b - 15 , the greatest common divisor of a and b can not be
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on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 40 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ?
|
[
{
"content": "on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 40 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ?",
"role": "user"
},
{
"content": "On a certain road, what percentage of drivers break the speed limit?",
"role": "assistant"
}
] |
On a certain road, what percentage of drivers break the speed limit?
|
on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 40 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ?
|
the radius of the two circular fields is in the ratio 4 : 5 the area of the first field is what percent less than the area of the second ?
|
[
{
"content": "the radius of the two circular fields is in the ratio 4 : 5 the area of the first field is what percent less than the area of the second ?",
"role": "user"
},
{
"content": "What percentage less is the area of the first field than the second field if the radii of the two circular fields are in a 4:5 ratio?",
"role": "assistant"
}
] |
What percentage less is the area of the first field than the second field if the radii of the two circular fields are in a 4:5 ratio?
|
the radius of the two circular fields is in the ratio 4 : 5 the area of the first field is what percent less than the area of the second ?
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what is rate of interest if principal . amount be 400 , simple interest 80 and time 2 year .
|
[
{
"content": "what is rate of interest if principal . amount be 400 , simple interest 80 and time 2 year .",
"role": "user"
},
{
"content": "What is the rate of interest if the principal amount is 400, the simple interest is 80, and the time period is 2 years?",
"role": "assistant"
}
] |
What is the rate of interest if the principal amount is 400, the simple interest is 80, and the time period is 2 years?
|
what is rate of interest if principal . amount be 400 , simple interest 80 and time 2 year .
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if 0.20 : x : : 4 : 2 , then x is equal to
|
[
{
"content": "if 0.20 : x : : 4 : 2 , then x is equal to",
"role": "user"
},
{
"content": "If 0.20 is to x as 4 is to 2, then x equals",
"role": "assistant"
}
] |
If 0.20 is to x as 4 is to 2, then x equals
|
if 0.20 : x : : 4 : 2 , then x is equal to
|
along a yard 225 metres long , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees
|
[
{
"content": "along a yard 225 metres long , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees",
"role": "user"
},
{
"content": "Along a 225-meter yard with 26 evenly spaced trees, one at each end, what is the distance between each consecutive tree?",
"role": "assistant"
}
] |
Along a 225-meter yard with 26 evenly spaced trees, one at each end, what is the distance between each consecutive tree?
|
along a yard 225 metres long , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees
|
a retailer marks her goods in such a way that the profit made by selling 50 articles is equal to the selling price of 20 articles . what is the percentage of profit made by the retailer ?
|
[
{
"content": "a retailer marks her goods in such a way that the profit made by selling 50 articles is equal to the selling price of 20 articles . what is the percentage of profit made by the retailer ?",
"role": "user"
},
{
"content": "What is the percentage profit when a retailer prices items so that selling 50 units yields the same profit as the revenue from selling 20 units?",
"role": "assistant"
}
] |
What is the percentage profit when a retailer prices items so that selling 50 units yields the same profit as the revenue from selling 20 units?
|
a retailer marks her goods in such a way that the profit made by selling 50 articles is equal to the selling price of 20 articles . what is the percentage of profit made by the retailer ?
|
a basket contains 10 apples , of which 1 is spoiled and the rest are good . if we select 2 apples from the basket simultaneously and at random , what is the probability that the 2 apples selected will include the spoiled apple ?
|
[
{
"content": "a basket contains 10 apples , of which 1 is spoiled and the rest are good . if we select 2 apples from the basket simultaneously and at random , what is the probability that the 2 apples selected will include the spoiled apple ?",
"role": "user"
},
{
"content": "What's the probability of randomly choosing 2 apples from a basket of 10, where 1 is rotten, and getting that rotten one in the selection?",
"role": "assistant"
}
] |
What's the probability of randomly choosing 2 apples from a basket of 10, where 1 is rotten, and getting that rotten one in the selection?
|
a basket contains 10 apples , of which 1 is spoiled and the rest are good . if we select 2 apples from the basket simultaneously and at random , what is the probability that the 2 apples selected will include the spoiled apple ?
|
s is a set of 85 consecutive multiples of 5 . if the smallest number in s is 90 , then the greatest number in s is
|
[
{
"content": "s is a set of 85 consecutive multiples of 5 . if the smallest number in s is 90 , then the greatest number in s is",
"role": "user"
},
{
"content": "s is a set of 85 consecutive multiples of 5 . if the smallest number in s is 90 , then the greatest number in s is 90 + (85 - 1) * 5",
"role": "assistant"
}
] |
s is a set of 85 consecutive multiples of 5 . if the smallest number in s is 90 , then the greatest number in s is 90 + (85 - 1) * 5
|
s is a set of 85 consecutive multiples of 5 . if the smallest number in s is 90 , then the greatest number in s is
|
a 14 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?
|
[
{
"content": "a 14 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?",
"role": "user"
},
{
"content": "Given a 14-meter wire cut into two pieces, with the longer piece used to form a square's perimeter, what's the probability the square's area exceeds 4 when the cut is made at a random point?",
"role": "assistant"
}
] |
Given a 14-meter wire cut into two pieces, with the longer piece used to form a square's perimeter, what's the probability the square's area exceeds 4 when the cut is made at a random point?
|
a 14 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?
|
a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 191 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many cabbages did she produce this year ?
|
[
{
"content": "a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 191 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many cabbages did she produce this year ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nA gardener cultivates cabbages in her square-shaped garden, with each cabbage requiring 1 square foot of space. She has increased her cabbage production by 191 this year compared to last year, maintaining a square garden layout. What was her cabbage yield this year?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
A gardener cultivates cabbages in her square-shaped garden, with each cabbage requiring 1 square foot of space. She has increased her cabbage production by 191 this year compared to last year, maintaining a square garden layout. What was her cabbage yield this year?
|
a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 191 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many cabbages did she produce this year ?
|
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 . 630 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 . 630 find the share of a .",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nA and B started a business with initial investments of Rs. 3000 and Rs. 4000, respectively. Eight months later, A withdrew Rs. 1000 while B added Rs. 1000 to his investment. By the end of the year, their combined profit was Rs. 630. What is A's share of the profit?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
A and B started a business with initial investments of Rs. 3000 and Rs. 4000, respectively. Eight months later, A withdrew Rs. 1000 while B added Rs. 1000 to his investment. By the end of the year, their combined profit was Rs. 630. 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 . 630 find the share of a .
|
on a certain day , tim invested $ 1,000 at 10 percent annual interest , compounded annually , and lana invested 2,000 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim ’ s investment in the first 2 years was how much greater than the total amount of interest earned by lana ’ s investment in the first 2 years ?
|
[
{
"content": "on a certain day , tim invested $ 1,000 at 10 percent annual interest , compounded annually , and lana invested 2,000 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim ’ s investment in the first 2 years was how much greater than the total amount of interest earned by lana ’ s investment in the first 2 years ?",
"role": "user"
},
{
"content": "What was the difference in total interest earned between Tim's $1,000 investment at 10% annual interest and Lana's $2,000 investment at 5% annual interest after 2 years?",
"role": "assistant"
}
] |
What was the difference in total interest earned between Tim's $1,000 investment at 10% annual interest and Lana's $2,000 investment at 5% annual interest after 2 years?
|
on a certain day , tim invested $ 1,000 at 10 percent annual interest , compounded annually , and lana invested 2,000 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim ’ s investment in the first 2 years was how much greater than the total amount of interest earned by lana ’ s investment in the first 2 years ?
|
what is the angle between the minute and the hour hand of the clock which shows 12 : 24 ?
|
[
{
"content": "what is the angle between the minute and the hour hand of the clock which shows 12 : 24 ?",
"role": "user"
},
{
"content": "At 12:24, what is the angle between the minute and hour hands on the clock?",
"role": "assistant"
}
] |
At 12:24, what is the angle between the minute and hour hands on the clock?
|
what is the angle between the minute and the hour hand of the clock which shows 12 : 24 ?
|
what is the value of 3 x ^ 2 − 1.8 x + 0.7 for x = 0.6 ?
|
[
{
"content": "what is the value of 3 x ^ 2 − 1.8 x + 0.7 for x = 0.6 ?",
"role": "user"
},
{
"content": "Evaluate the expression 3 x ^ 2 − 1.8 x + 0.7 when x is equal to 0.6.",
"role": "assistant"
}
] |
Evaluate the expression 3 x ^ 2 − 1.8 x + 0.7 when x is equal to 0.6.
|
what is the value of 3 x ^ 2 − 1.8 x + 0.7 for x = 0.6 ?
|
find the value of ( 70 + 28 / 100 ) × 100
|
[
{
"content": "find the value of ( 70 + 28 / 100 ) × 100",
"role": "user"
},
{
"content": "Calculate ( 70 + 28 percent ) × 100",
"role": "assistant"
}
] |
Calculate ( 70 + 28 percent ) × 100
|
find the value of ( 70 + 28 / 100 ) × 100
|
a train with 120 wagons crosses john who is going in the same direction , in 36 seconds . it travels for half an hour from the time it starts ove ( who is also riding on his horse ) coming from the opposite direction in 24 seconds . in how much time after the train has crossed the mike do the john meets to mike ? rtaking the john ( he is riding on the horse ) before it starts overtaking the mike
|
[
{
"content": "a train with 120 wagons crosses john who is going in the same direction , in 36 seconds . it travels for half an hour from the time it starts ove ( who is also riding on his horse ) coming from the opposite direction in 24 seconds . in how much time after the train has crossed the mike do the john meets to mike ? rtaking the john ( he is riding on the horse ) before it starts overtaking the mike",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nA 120-wagon train passes John, who is traveling in the same direction, in 36 seconds. After starting to overtake Ove, who is also on horseback and approaching from the opposite direction, the train takes 24 seconds. How long after the train passes Mike will John meet Mike, assuming John starts overtaking Mike before the train does?\n\nNote that I've preserved the original structure and semantics, including the question format, while rephrasing the text for clarity.",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
A 120-wagon train passes John, who is traveling in the same direction, in 36 seconds. After starting to overtake Ove, who is also on horseback and approaching from the opposite direction, the train takes 24 seconds. How long after the train passes Mike will John meet Mike, assuming John starts overtaking Mike before the train does?
Note that I've preserved the original structure and semantics, including the question format, while rephrasing the text for clarity.
|
a train with 120 wagons crosses john who is going in the same direction , in 36 seconds . it travels for half an hour from the time it starts ove ( who is also riding on his horse ) coming from the opposite direction in 24 seconds . in how much time after the train has crossed the mike do the john meets to mike ? rtaking the john ( he is riding on the horse ) before it starts overtaking the mike
|
working together , jose and jane can complete an assigned task in 10 days . however , if jose worked alone and complete half the work and then jane takes over the task and completes the second half of the task , the task will be completed in 25 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose
|
[
{
"content": "working together , jose and jane can complete an assigned task in 10 days . however , if jose worked alone and complete half the work and then jane takes over the task and completes the second half of the task , the task will be completed in 25 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose",
"role": "user"
},
{
"content": "Here's a paraphrased version of the given text, preserving the original structure and semantics:\n\nWhen collaborating, Jose and Jane can finish a project in 10 days. However, if Jose works alone on the first half and Jane takes over to finish the second half, the project takes 25 days. How long would it take Jose to complete the project alone?",
"role": "assistant"
}
] |
Here's a paraphrased version of the given text, preserving the original structure and semantics:
When collaborating, Jose and Jane can finish a project in 10 days. However, if Jose works alone on the first half and Jane takes over to finish the second half, the project takes 25 days. How long would it take Jose to complete the project alone?
|
working together , jose and jane can complete an assigned task in 10 days . however , if jose worked alone and complete half the work and then jane takes over the task and completes the second half of the task , the task will be completed in 25 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose
|
if the sales tax be reduced from 5 ( 1 / 3 ) % to 3 ( 1 / 2 ) % , then what difference does it make to a person who purchases a bag with marked price of rs . 5000 ?
|
[
{
"content": "if the sales tax be reduced from 5 ( 1 / 3 ) % to 3 ( 1 / 2 ) % , then what difference does it make to a person who purchases a bag with marked price of rs . 5000 ?",
"role": "user"
},
{
"content": "What difference would a reduction in sales tax from 5 ( 1 / 3 ) % to 3 ( 1 / 2 ) % make for someone buying a bag priced at rs . 5000 ?",
"role": "assistant"
}
] |
What difference would a reduction in sales tax from 5 ( 1 / 3 ) % to 3 ( 1 / 2 ) % make for someone buying a bag priced at rs . 5000 ?
|
if the sales tax be reduced from 5 ( 1 / 3 ) % to 3 ( 1 / 2 ) % , then what difference does it make to a person who purchases a bag with marked price of rs . 5000 ?
|
two cars are traveling in the same direction along the same route . the red car travels at a constant speed of 20 miles per hour , and the black car is traveling at a constant speed of 50 miles per hour . if the red car is 20 miles ahead of the black car , how many hours will it take the black car to overtake the red car ?
|
[
{
"content": "two cars are traveling in the same direction along the same route . the red car travels at a constant speed of 20 miles per hour , and the black car is traveling at a constant speed of 50 miles per hour . if the red car is 20 miles ahead of the black car , how many hours will it take the black car to overtake the red car ?",
"role": "user"
},
{
"content": "Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 20 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 20 miles ahead of the black car, how many hours will it take for the black car to overtake the red car?\n\nHere's the paraphrased version:\n\nTwo cars are traveling in the same direction along the same route. The red car travels at a constant speed of 20 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. How many hours will it take for the black car to catch up to the red car, given that the red car is 20 miles ahead?",
"role": "assistant"
}
] |
Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 20 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 20 miles ahead of the black car, how many hours will it take for the black car to overtake the red car?
Here's the paraphrased version:
Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 20 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. How many hours will it take for the black car to catch up to the red car, given that the red car is 20 miles ahead?
|
two cars are traveling in the same direction along the same route . the red car travels at a constant speed of 20 miles per hour , and the black car is traveling at a constant speed of 50 miles per hour . if the red car is 20 miles ahead of the black car , how many hours will it take the black car to overtake the red car ?
|
how many internal diagonals does a pentagon ( five sided polygon ) have ?
|
[
{
"content": "how many internal diagonals does a pentagon ( five sided polygon ) have ?",
"role": "user"
},
{
"content": "What is the number of internal diagonals in a five-sided polygon, or pentagon ?",
"role": "assistant"
}
] |
What is the number of internal diagonals in a five-sided polygon, or pentagon ?
|
how many internal diagonals does a pentagon ( five sided polygon ) have ?
|
the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 5808 sq cm . what is the ratio of the width and the area of the rectangle ?
|
[
{
"content": "the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 5808 sq cm . what is the ratio of the width and the area of the rectangle ?",
"role": "user"
},
{
"content": "Given a rectangle with a length-to-width ratio of 4:3 and an area of 5808 sq cm, what is the ratio of its width to its area?",
"role": "assistant"
}
] |
Given a rectangle with a length-to-width ratio of 4:3 and an area of 5808 sq cm, what is the ratio of its width to its area?
|
the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 5808 sq cm . what is the ratio of the width and the area of the rectangle ?
|
a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 990 grams . find the profit percent .
|
[
{
"content": "a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 990 grams . find the profit percent .",
"role": "user"
},
{
"content": "What is the profit percentage if a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 990 grams?",
"role": "assistant"
}
] |
What is the profit percentage if a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 990 grams?
|
a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 990 grams . find the profit percent .
|
a basket contains 9 apples , of which 1 is spoiled and the rest are good . if we select 2 apples from the basket simultaneously and at random , what is the probability that the 2 apples selected will include the spoiled apple ?
|
[
{
"content": "a basket contains 9 apples , of which 1 is spoiled and the rest are good . if we select 2 apples from the basket simultaneously and at random , what is the probability that the 2 apples selected will include the spoiled apple ?",
"role": "user"
},
{
"content": "What's the probability of choosing the spoiled apple when 2 apples are randomly selected from a basket of 9 apples, 8 of which are good and 1 spoiled?",
"role": "assistant"
}
] |
What's the probability of choosing the spoiled apple when 2 apples are randomly selected from a basket of 9 apples, 8 of which are good and 1 spoiled?
|
a basket contains 9 apples , of which 1 is spoiled and the rest are good . if we select 2 apples from the basket simultaneously and at random , what is the probability that the 2 apples selected will include the spoiled apple ?
|
26 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ?
|
[
{
"content": "26 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ?",
"role": "user"
},
{
"content": "What percentage of the workforce has fair hair?",
"role": "assistant"
}
] |
What percentage of the workforce has fair hair?
|
26 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ?
|
a work as fast as b . if b can complete a work in 24 days independently , the number of days in which a and b can together finish the work in ?
|
[
{
"content": "a work as fast as b . if b can complete a work in 24 days independently , the number of days in which a and b can together finish the work in ?",
"role": "user"
},
{
"content": "If b can complete the work independently in 24 days, how many days will it take for a and b to finish the work together, given that a works as fast as b?",
"role": "assistant"
}
] |
If b can complete the work independently in 24 days, how many days will it take for a and b to finish the work together, given that a works as fast as b?
|
a work as fast as b . if b can complete a work in 24 days independently , the number of days in which a and b can together finish the work in ?
|
if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 20 , then n =
|
[
{
"content": "if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 20 , then n =",
"role": "user"
},
{
"content": "If 4 * 2 ^ 2n = 4 ^ 20, then n =",
"role": "assistant"
}
] |
If 4 * 2 ^ 2n = 4 ^ 20, then n =
|
if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 20 , then n =
|
in a division sum , the remainder is 8 and the divisor is 6 times the quotient and is obtained by adding 3 to the thrice of the remainder . the dividend is :
|
[
{
"content": "in a division sum , the remainder is 8 and the divisor is 6 times the quotient and is obtained by adding 3 to the thrice of the remainder . the dividend is :",
"role": "user"
},
{
"content": "In a division problem, if the remainder is 8 and the divisor is 6 times the quotient, which is found by adding 3 to three times the remainder, what is the dividend?",
"role": "assistant"
}
] |
In a division problem, if the remainder is 8 and the divisor is 6 times the quotient, which is found by adding 3 to three times the remainder, what is the dividend?
|
in a division sum , the remainder is 8 and the divisor is 6 times the quotient and is obtained by adding 3 to the thrice of the remainder . the dividend is :
|
a certain junior class has 100 students and a certain senior class has 80 students . among these students , there are 6 siblings pairs each consisting of 1 junior and 1 senior . if 1 student is to be selected at random from each class , what is the probability that the 2 students selected will be a sibling pair ?
|
[
{
"content": "a certain junior class has 100 students and a certain senior class has 80 students . among these students , there are 6 siblings pairs each consisting of 1 junior and 1 senior . if 1 student is to be selected at random from each class , what is the probability that the 2 students selected will be a sibling pair ?",
"role": "user"
},
{
"content": "What is the probability of randomly selecting a junior and senior student who are siblings from their respective classes of 100 and 80 students, given that there are 6 sibling pairs.",
"role": "assistant"
}
] |
What is the probability of randomly selecting a junior and senior student who are siblings from their respective classes of 100 and 80 students, given that there are 6 sibling pairs.
|
a certain junior class has 100 students and a certain senior class has 80 students . among these students , there are 6 siblings pairs each consisting of 1 junior and 1 senior . if 1 student is to be selected at random from each class , what is the probability that the 2 students selected will be a sibling pair ?
|
a rectangular swimming pool is 20 feet by 20 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 576 square feet . what is the width of the deck ?
|
[
{
"content": "a rectangular swimming pool is 20 feet by 20 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 576 square feet . what is the width of the deck ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nThe pool is 20 feet by 20 feet and is surrounded by a deck of uniform width. The total area of the pool and deck is 576 square feet. What is the deck's width?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
The pool is 20 feet by 20 feet and is surrounded by a deck of uniform width. The total area of the pool and deck is 576 square feet. What is the deck's width?
|
a rectangular swimming pool is 20 feet by 20 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 576 square feet . what is the width of the deck ?
|
a circle graph shows how the budget of a certain company was spent : 61 percent for salaries , 10 percent for research and development , 6 percent for utilities , 5 percent for equipment , 3 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ?
|
[
{
"content": "a circle graph shows how the budget of a certain company was spent : 61 percent for salaries , 10 percent for research and development , 6 percent for utilities , 5 percent for equipment , 3 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text, preserving the original structure and semantics:\n\nA circle graph illustrates the company's budget allocation: 61% for salaries, 10% for R&D, 6% for utilities, 5% for equipment, 3% for supplies, and the rest for transportation. Assuming the area of each sector is proportional to the budget percentage it represents, what angle of the circle corresponds to the transportation sector?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text, preserving the original structure and semantics:
A circle graph illustrates the company's budget allocation: 61% for salaries, 10% for R&D, 6% for utilities, 5% for equipment, 3% for supplies, and the rest for transportation. Assuming the area of each sector is proportional to the budget percentage it represents, what angle of the circle corresponds to the transportation sector?
|
a circle graph shows how the budget of a certain company was spent : 61 percent for salaries , 10 percent for research and development , 6 percent for utilities , 5 percent for equipment , 3 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ?
|
10 stickers numbered 1 to 10 are placed in a bowl , mixed up thoroughly and then one sticker is drawn randomly . if it is known that the number on the drawn sticker is more than 3 , what is the probability that it is an even number ?
|
[
{
"content": "10 stickers numbered 1 to 10 are placed in a bowl , mixed up thoroughly and then one sticker is drawn randomly . if it is known that the number on the drawn sticker is more than 3 , what is the probability that it is an even number ?",
"role": "user"
},
{
"content": "What's the probability that the randomly drawn sticker is an even number, given that its number is greater than 3",
"role": "assistant"
}
] |
What's the probability that the randomly drawn sticker is an even number, given that its number is greater than 3
|
10 stickers numbered 1 to 10 are placed in a bowl , mixed up thoroughly and then one sticker is drawn randomly . if it is known that the number on the drawn sticker is more than 3 , what is the probability that it is an even number ?
|
for a certain exam , a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean . what was the mean score w for the exam ?
|
[
{
"content": "for a certain exam , a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean . what was the mean score w for the exam ?",
"role": "user"
},
{
"content": "What was the mean score 'w' for the exam, given that 58 was 2 standard deviations below the mean and 98 was 3 standard deviations above the mean?",
"role": "assistant"
}
] |
What was the mean score 'w' for the exam, given that 58 was 2 standard deviations below the mean and 98 was 3 standard deviations above the mean?
|
for a certain exam , a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean . what was the mean score w for the exam ?
|
the length of a rectangular floor is more than its breadth by 200 % . if rs . 450 is required to paint the floor at the rate of rs . 5 per sq m , then what would be the length of the floor ?
|
[
{
"content": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 450 is required to paint the floor at the rate of rs . 5 per sq m , then what would be the length of the floor ?",
"role": "user"
},
{
"content": "If a rectangular floor's length exceeds its width by 200%, and Rs. 450 is needed to paint it at Rs. 5 per sq m, what is the floor's length?",
"role": "assistant"
}
] |
If a rectangular floor's length exceeds its width by 200%, and Rs. 450 is needed to paint it at Rs. 5 per sq m, what is the floor's length?
|
the length of a rectangular floor is more than its breadth by 200 % . if rs . 450 is required to paint the floor at the rate of rs . 5 per sq m , then what would be the length of the floor ?
|
tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 9 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 a is what percent of the capacity of tank b ?
|
[
{
"content": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 9 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 a is what percent of the capacity of tank b ?",
"role": "user"
},
{
"content": "What percentage of tank B's capacity is the capacity of tank A?",
"role": "assistant"
}
] |
What percentage of tank B's capacity is the capacity of tank A?
|
tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 9 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 a is what percent of the capacity of tank b ?
|
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 1 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 1 hours ?",
"role": "user"
},
{
"content": "If two carpenters can build 2 desks in two and a half hours at the same pace, how many can 4 carpenters build in 1 hour?",
"role": "assistant"
}
] |
If two carpenters can build 2 desks in two and a half hours at the same pace, how many can 4 carpenters build in 1 hour?
|
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 1 hours ?
|
220 metres long yard , 21 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees
|
[
{
"content": "220 metres long yard , 21 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees",
"role": "user"
},
{
"content": "A 220-metre yard has 21 equally spaced trees, with one at each end; what is the distance between two consecutive trees?",
"role": "assistant"
}
] |
A 220-metre yard has 21 equally spaced trees, with one at each end; what is the distance between two consecutive trees?
|
220 metres long yard , 21 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees
|
the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 10 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ?
|
[
{
"content": "the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 10 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ?",
"role": "user"
},
{
"content": "What is the distance in kilometers from Yahya's house to Pinedale Mall, which is 10 stops away",
"role": "assistant"
}
] |
What is the distance in kilometers from Yahya's house to Pinedale Mall, which is 10 stops away
|
the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 10 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ?
|
a student travels from his house to school at 10 km / hr and reaches school 1 hour late . the next day he travels 12 km / hr and reaches school 1 hour early . what is the distance between his house and the school ?
|
[
{
"content": "a student travels from his house to school at 10 km / hr and reaches school 1 hour late . the next day he travels 12 km / hr and reaches school 1 hour early . what is the distance between his house and the school ?",
"role": "user"
},
{
"content": "At what distance from his house is the school if traveling at 10 km/hr makes a student late by 1 hour, while traveling at 12 km/hr makes him 1 hour early?",
"role": "assistant"
}
] |
At what distance from his house is the school if traveling at 10 km/hr makes a student late by 1 hour, while traveling at 12 km/hr makes him 1 hour early?
|
a student travels from his house to school at 10 km / hr and reaches school 1 hour late . the next day he travels 12 km / hr and reaches school 1 hour early . what is the distance between his house and the school ?
|
43 : 34 : : 52 : ?
|
[
{
"content": "43 : 34 : : 52 : ?",
"role": "user"
},
{
"content": "43 : 34 : : 52 : 43",
"role": "assistant"
}
] |
43 : 34 : : 52 : 43
|
43 : 34 : : 52 : ?
|
two bullet trains of equal lengths take 10 seconds and 30 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?
|
[
{
"content": "two bullet trains of equal lengths take 10 seconds and 30 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?",
"role": "user"
},
{
"content": "How long will it take for two 120-metre-long bullet trains traveling in opposite directions to cross each other, given that one takes 10 seconds and the other takes 30 seconds to pass a telegraph post?",
"role": "assistant"
}
] |
How long will it take for two 120-metre-long bullet trains traveling in opposite directions to cross each other, given that one takes 10 seconds and the other takes 30 seconds to pass a telegraph post?
|
two bullet trains of equal lengths take 10 seconds and 30 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?
|
kathleen can paint a room in 2 hours , and anthony can paint an identical room in 7 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?
|
[
{
"content": "kathleen can paint a room in 2 hours , and anthony can paint an identical room in 7 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?",
"role": "user"
},
{
"content": "Working together, how long would it take Kathleen and Anthony to paint both rooms at their respective rates?",
"role": "assistant"
}
] |
Working together, how long would it take Kathleen and Anthony to paint both rooms at their respective rates?
|
kathleen can paint a room in 2 hours , and anthony can paint an identical room in 7 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?
|
according to a recent student poll , 4 / 6 out of 24 members of the finance club are interested in a career in investment banking . if two students are chosen at random , what is the probability that at least one of them is interested in investment banking ?
|
[
{
"content": "according to a recent student poll , 4 / 6 out of 24 members of the finance club are interested in a career in investment banking . if two students are chosen at random , what is the probability that at least one of them is interested in investment banking ?",
"role": "user"
},
{
"content": "According to a recent survey of the finance club, 4/6 out of 24 members are interested in investment banking careers. What's the likelihood that at least one of two randomly selected students will be interested in investment banking?",
"role": "assistant"
}
] |
According to a recent survey of the finance club, 4/6 out of 24 members are interested in investment banking careers. What's the likelihood that at least one of two randomly selected students will be interested in investment banking?
|
according to a recent student poll , 4 / 6 out of 24 members of the finance club are interested in a career in investment banking . if two students are chosen at random , what is the probability that at least one of them is interested in investment banking ?
|
there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 15 , then find the smaller number ?
|
[
{
"content": "there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 15 , then find the smaller number ?",
"role": "user"
},
{
"content": "What is the smaller number in a 5:8 ratio with a 15-unit difference between the two numbers?",
"role": "assistant"
}
] |
What is the smaller number in a 5:8 ratio with a 15-unit difference between the two numbers?
|
there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 15 , then find the smaller number ?
|
the two lines y = x and x = - 5 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length of a cube whose surface area is equal to 6 z ?
|
[
{
"content": "the two lines y = x and x = - 5 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length of a cube whose surface area is equal to 6 z ?",
"role": "user"
},
{
"content": "What is the side length of a cube whose surface area is equal to six times the area formed by the intersecting lines y=x, x=-5, and the x-axis?",
"role": "assistant"
}
] |
What is the side length of a cube whose surface area is equal to six times the area formed by the intersecting lines y=x, x=-5, and the x-axis?
|
the two lines y = x and x = - 5 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length of a cube whose surface area is equal to 6 z ?
|
in school there are some bicycles and 4 wheeler wagons . one tuesday there are 190 wheels in the campus . how many bicycles are there ?
|
[
{
"content": "in school there are some bicycles and 4 wheeler wagons . one tuesday there are 190 wheels in the campus . how many bicycles are there ?",
"role": "user"
},
{
"content": "On campus, there are some bikes and 4-wheeled wagons. One Tuesday, a total of 190 wheels are counted. How many bicycles are on campus?",
"role": "assistant"
}
] |
On campus, there are some bikes and 4-wheeled wagons. One Tuesday, a total of 190 wheels are counted. How many bicycles are on campus?
|
in school there are some bicycles and 4 wheeler wagons . one tuesday there are 190 wheels in the campus . how many bicycles are there ?
|
a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 1500 , then his salary per month in rupees is :
|
[
{
"content": "a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 1500 , then his salary per month in rupees is :",
"role": "user"
},
{
"content": "If a person allocates 40% of their salary for food, 25% for rent, 15% for entertainment, and 5% for transportation, and they have Rs. 1500 in savings at the end of the month, what is their monthly salary in rupees?",
"role": "assistant"
}
] |
If a person allocates 40% of their salary for food, 25% for rent, 15% for entertainment, and 5% for transportation, and they have Rs. 1500 in savings at the end of the month, what is their monthly salary in rupees?
|
a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 1500 , then his salary per month in rupees is :
|
in a certain pond , 90.00001 fish were caught , tagged , and returned to the pond . a few days later , 90 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the pond ?
|
[
{
"content": "in a certain pond , 90.00001 fish were caught , tagged , and returned to the pond . a few days later , 90 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the pond ?",
"role": "user"
},
{
"content": "Approximately how many fish are in the pond if the percentage of tagged fish in the second catch is representative of the total tagged fish population",
"role": "assistant"
}
] |
Approximately how many fish are in the pond if the percentage of tagged fish in the second catch is representative of the total tagged fish population
|
in a certain pond , 90.00001 fish were caught , tagged , and returned to the pond . a few days later , 90 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the pond ?
|
in a garden , there are yellow and green flowers which are straight and curved . if the probability of picking a green flower is 1 / 5 and picking a straight flower is 1 / 2 , then what is the probability of picking a flower which is yellow and straight
|
[
{
"content": "in a garden , there are yellow and green flowers which are straight and curved . if the probability of picking a green flower is 1 / 5 and picking a straight flower is 1 / 2 , then what is the probability of picking a flower which is yellow and straight",
"role": "user"
},
{
"content": "In a garden with yellow and green flowers that are straight and curved, given a 1/5 chance of picking a green flower and a 1/2 chance of picking a straight one, what's the likelihood of choosing a yellow, straight flower?",
"role": "assistant"
}
] |
In a garden with yellow and green flowers that are straight and curved, given a 1/5 chance of picking a green flower and a 1/2 chance of picking a straight one, what's the likelihood of choosing a yellow, straight flower?
|
in a garden , there are yellow and green flowers which are straight and curved . if the probability of picking a green flower is 1 / 5 and picking a straight flower is 1 / 2 , then what is the probability of picking a flower which is yellow and straight
|
a reduction of 20 % in the price of salt enables a lady to obtain 2 kgs more for rs . 100 , find the original price per kg ?
|
[
{
"content": "a reduction of 20 % in the price of salt enables a lady to obtain 2 kgs more for rs . 100 , find the original price per kg ?",
"role": "user"
},
{
"content": "If a 20% discount on the price of salt allows a woman to buy 2 kgs extra for Rs. 100, what was the original price per kilogram?",
"role": "assistant"
}
] |
If a 20% discount on the price of salt allows a woman to buy 2 kgs extra for Rs. 100, what was the original price per kilogram?
|
a reduction of 20 % in the price of salt enables a lady to obtain 2 kgs more for rs . 100 , find the original price per kg ?
|
in what time will a railway train 110 m long moving at the rate of 36 kmph pass a telegraph post on its way ?
|
[
{
"content": "in what time will a railway train 110 m long moving at the rate of 36 kmph pass a telegraph post on its way ?",
"role": "user"
},
{
"content": "How long will it take for a 110-meter-long railway train traveling at 36 km/h to pass a telegraph post?",
"role": "assistant"
}
] |
How long will it take for a 110-meter-long railway train traveling at 36 km/h to pass a telegraph post?
|
in what time will a railway train 110 m long moving at the rate of 36 kmph pass a telegraph post on its way ?
|
x , a , z , and b are single digit positive integers . x = 1 / 7 a . z = 1 / 7 b . ( 10 a + b ) – ( 10 x + z ) could not equal
|
[
{
"content": "x , a , z , and b are single digit positive integers . x = 1 / 7 a . z = 1 / 7 b . ( 10 a + b ) – ( 10 x + z ) could not equal",
"role": "user"
},
{
"content": "x, a, z, and b are single-digit positive integers. x equals a seventh of 1. z equals a seventh of b. What can't (10a + b) - (10x + z) be equal to",
"role": "assistant"
}
] |
x, a, z, and b are single-digit positive integers. x equals a seventh of 1. z equals a seventh of b. What can't (10a + b) - (10x + z) be equal to
|
x , a , z , and b are single digit positive integers . x = 1 / 7 a . z = 1 / 7 b . ( 10 a + b ) – ( 10 x + z ) could not equal
|
there are two groups of students in the sixth grade . there are 45 students in group a , and 55 students in group b . if , on a particular day , 20 % of the students in group a forget their homework , and 40 % of the students in group b forget their homework , then what percentage of the sixth graders forgot their homework ?
|
[
{
"content": "there are two groups of students in the sixth grade . there are 45 students in group a , and 55 students in group b . if , on a particular day , 20 % of the students in group a forget their homework , and 40 % of the students in group b forget their homework , then what percentage of the sixth graders forgot their homework ?",
"role": "user"
},
{
"content": "What percentage of sixth-grade students forgot their homework if 20% of Group A and 40% of Group B, which have 45 and 55 students respectively, forgot theirs?",
"role": "assistant"
}
] |
What percentage of sixth-grade students forgot their homework if 20% of Group A and 40% of Group B, which have 45 and 55 students respectively, forgot theirs?
|
there are two groups of students in the sixth grade . there are 45 students in group a , and 55 students in group b . if , on a particular day , 20 % of the students in group a forget their homework , and 40 % of the students in group b forget their homework , then what percentage of the sixth graders forgot their homework ?
|
in a factory , an average of 50 tv ' s are produced per day for the fist 25 days of the months . a few workers fell ill for the next 5 days reducing the daily avg for the month to 43 sets / day . the average production per day for day last 5 days is ?
|
[
{
"content": "in a factory , an average of 50 tv ' s are produced per day for the fist 25 days of the months . a few workers fell ill for the next 5 days reducing the daily avg for the month to 43 sets / day . the average production per day for day last 5 days is ?",
"role": "user"
},
{
"content": "In a factory, 50 TVs are produced daily for the first 25 days of the month. Due to worker illness, the daily average for the month drops to 43 sets/day for the next 5 days. What is the average production per day for the last 5 days?",
"role": "assistant"
}
] |
In a factory, 50 TVs are produced daily for the first 25 days of the month. Due to worker illness, the daily average for the month drops to 43 sets/day for the next 5 days. What is the average production per day for the last 5 days?
|
in a factory , an average of 50 tv ' s are produced per day for the fist 25 days of the months . a few workers fell ill for the next 5 days reducing the daily avg for the month to 43 sets / day . the average production per day for day last 5 days is ?
|
what is the length of the diagonal of a square whose area is 4 times of another square with diagonal as 5 v 2 cm ?
|
[
{
"content": "what is the length of the diagonal of a square whose area is 4 times of another square with diagonal as 5 v 2 cm ?",
"role": "user"
},
{
"content": "What is the length of the diagonal of a square with an area four times that of a square with a diagonal of 5√2 cm?",
"role": "assistant"
}
] |
What is the length of the diagonal of a square with an area four times that of a square with a diagonal of 5√2 cm?
|
what is the length of the diagonal of a square whose area is 4 times of another square with diagonal as 5 v 2 cm ?
|
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 12,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ?
|
[
{
"content": "country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 12,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ?",
"role": "user"
},
{
"content": "What is the first tier's price level if a $12,000 imported car incurs $1440 in taxes under a two-tiered tax system with rates of 12% and 8%?",
"role": "assistant"
}
] |
What is the first tier's price level if a $12,000 imported car incurs $1440 in taxes under a two-tiered tax system with rates of 12% and 8%?
|
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 12,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ?
|
if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 73 , what is the value of x ?
|
[
{
"content": "if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 73 , what is the value of x ?",
"role": "user"
},
{
"content": "What is the value of x if the arithmetic mean of x, x+2, and x+4 equals 73?",
"role": "assistant"
}
] |
What is the value of x if the arithmetic mean of x, x+2, and x+4 equals 73?
|
if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 73 , what is the value of x ?
|
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1904 ?
|
[
{
"content": "find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1904 ?",
"role": "user"
},
{
"content": "What is the principal amount invested at 5% per annum for 2 2/5 years if the total amount accrued is Rs. 1904?",
"role": "assistant"
}
] |
What is the principal amount invested at 5% per annum for 2 2/5 years if the total amount accrued is Rs. 1904?
|
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1904 ?
|
the overall age of x and y is 11 year greater than the overall age of y and z . z is how many decades younger that x ?
|
[
{
"content": "the overall age of x and y is 11 year greater than the overall age of y and z . z is how many decades younger that x ?",
"role": "user"
},
{
"content": "What is z's age difference with x in decades?",
"role": "assistant"
}
] |
What is z's age difference with x in decades?
|
the overall age of x and y is 11 year greater than the overall age of y and z . z is how many decades younger that x ?
|
the difference between the place value and the face value of 5 in the numeral 856973 is
|
[
{
"content": "the difference between the place value and the face value of 5 in the numeral 856973 is",
"role": "user"
},
{
"content": "the difference between the place value and face value of 5 in 856973 is",
"role": "assistant"
}
] |
the difference between the place value and face value of 5 in 856973 is
|
the difference between the place value and the face value of 5 in the numeral 856973 is
|
aaron will jog from home at 5 miles per hour and then walk back home by the same route at 10 miles per hour . how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking ?
|
[
{
"content": "aaron will jog from home at 5 miles per hour and then walk back home by the same route at 10 miles per hour . how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking ?",
"role": "user"
},
{
"content": "At what distance from home can Aaron jog so that he spends a total of 3 hours jogging at 5 miles per hour and walking back at 10 miles per hour?",
"role": "assistant"
}
] |
At what distance from home can Aaron jog so that he spends a total of 3 hours jogging at 5 miles per hour and walking back at 10 miles per hour?
|
aaron will jog from home at 5 miles per hour and then walk back home by the same route at 10 miles per hour . how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking ?
|
the mean of 50 observations was 36 . it was found later that an observation 47 was wrongly taken as 23 . the corrected new mean is
|
[
{
"content": "the mean of 50 observations was 36 . it was found later that an observation 47 was wrongly taken as 23 . the corrected new mean is",
"role": "user"
},
{
"content": "the average of 50 observations was 36, but an error was discovered where 47 was incorrectly recorded as 23; what is the revised mean?",
"role": "assistant"
}
] |
the average of 50 observations was 36, but an error was discovered where 47 was incorrectly recorded as 23; what is the revised mean?
|
the mean of 50 observations was 36 . it was found later that an observation 47 was wrongly taken as 23 . the corrected new mean is
|
the length of a rectangular floor is more than its breadth by 200 % . if rs . 324 is required to paint the floor at the rate of rs . 3 per sq m , then what would be the length of the floor ?
|
[
{
"content": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 324 is required to paint the floor at the rate of rs . 3 per sq m , then what would be the length of the floor ?",
"role": "user"
},
{
"content": "If a rectangular floor's length exceeds its width by 200%, and painting it costs Rs. 324 at Rs. 3 per square meter, what is the length of the floor?",
"role": "assistant"
}
] |
If a rectangular floor's length exceeds its width by 200%, and painting it costs Rs. 324 at Rs. 3 per square meter, what is the length of the floor?
|
the length of a rectangular floor is more than its breadth by 200 % . if rs . 324 is required to paint the floor at the rate of rs . 3 per sq m , then what would be the length of the floor ?
|
a watch was sold at a loss of 10 % . if it was sold for rs . 182 more , there would have been a gain of 4 % . what is the cost price ?
|
[
{
"content": "a watch was sold at a loss of 10 % . if it was sold for rs . 182 more , there would have been a gain of 4 % . what is the cost price ?",
"role": "user"
},
{
"content": "At a 10% loss, a watch was sold. If the selling price had been rs. 182 higher, there would have been a 4% gain. What was the cost price of the watch?",
"role": "assistant"
}
] |
At a 10% loss, a watch was sold. If the selling price had been rs. 182 higher, there would have been a 4% gain. What was the cost price of the watch?
|
a watch was sold at a loss of 10 % . if it was sold for rs . 182 more , there would have been a gain of 4 % . what is the cost price ?
|
the incomes of two persons a and b are in the ratio 3 : 4 . if each saves rs . 100 per month , the ratio of their expenditures is 1 : 4 . find their incomes ?
|
[
{
"content": "the incomes of two persons a and b are in the ratio 3 : 4 . if each saves rs . 100 per month , the ratio of their expenditures is 1 : 4 . find their incomes ?",
"role": "user"
},
{
"content": "What are the incomes of persons A and B, who save Rs. 100 per month and have an expenditure ratio of 1:4, given that their incomes are in the ratio 3:4?",
"role": "assistant"
}
] |
What are the incomes of persons A and B, who save Rs. 100 per month and have an expenditure ratio of 1:4, given that their incomes are in the ratio 3:4?
|
the incomes of two persons a and b are in the ratio 3 : 4 . if each saves rs . 100 per month , the ratio of their expenditures is 1 : 4 . find their incomes ?
|
a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 10 - sided polygon have ?
|
[
{
"content": "a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 10 - sided polygon have ?",
"role": "user"
},
{
"content": "In a polygon, a diagonal is a line segment connecting two non-adjacent vertices. How many diagonals are in a regular decagon?",
"role": "assistant"
}
] |
In a polygon, a diagonal is a line segment connecting two non-adjacent vertices. How many diagonals are in a regular decagon?
|
a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 10 - sided polygon have ?
|
what is 2 3 / 4 - 1 2 / 5 divided by 2 / 3 - 1 / 3 ?
|
[
{
"content": "what is 2 3 / 4 - 1 2 / 5 divided by 2 / 3 - 1 / 3 ?",
"role": "user"
},
{
"content": "What is (2 3/4 - 1 2/5) / (2/3 - 1/3) ?",
"role": "assistant"
}
] |
What is (2 3/4 - 1 2/5) / (2/3 - 1/3) ?
|
what is 2 3 / 4 - 1 2 / 5 divided by 2 / 3 - 1 / 3 ?
|
a and b start walking towards each other at 5 am at speed of 4 kmph and 8 kmph . they were initially 36 km apart . at what time do they meet ?
|
[
{
"content": "a and b start walking towards each other at 5 am at speed of 4 kmph and 8 kmph . they were initially 36 km apart . at what time do they meet ?",
"role": "user"
},
{
"content": "At what time will a and b meet if they begin walking towards each other at 5 am, with a moving at 4 kmph and b at 8 kmph, and are initially 36 km apart?",
"role": "assistant"
}
] |
At what time will a and b meet if they begin walking towards each other at 5 am, with a moving at 4 kmph and b at 8 kmph, and are initially 36 km apart?
|
a and b start walking towards each other at 5 am at speed of 4 kmph and 8 kmph . they were initially 36 km apart . at what time do they meet ?
|
a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 7 with 3 students left over . what is the sum of the two smallest possible values of n ?
|
[
{
"content": "a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 7 with 3 students left over . what is the sum of the two smallest possible values of n ?",
"role": "user"
},
{
"content": "What are the two smallest values of n for which a group of n students can be divided into groups of 4 with a remainder of 1, and into groups of 7 with a remainder of 3, and what is their sum?",
"role": "assistant"
}
] |
What are the two smallest values of n for which a group of n students can be divided into groups of 4 with a remainder of 1, and into groups of 7 with a remainder of 3, and what is their sum?
|
a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 7 with 3 students left over . what is the sum of the two smallest possible values of n ?
|
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