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a train 150 m long running at 72 kmph crosses a platform in 28 sec . what is the length of the platform ?
|
[
{
"content": "a train 150 m long running at 72 kmph crosses a platform in 28 sec . what is the length of the platform ?",
"role": "user"
},
{
"content": "A 150-meter long train traveling at 72 km/h crosses a platform in 28 seconds; what is the platform's length?",
"role": "assistant"
}
] |
A 150-meter long train traveling at 72 km/h crosses a platform in 28 seconds; what is the platform's length?
|
a train 150 m long running at 72 kmph crosses a platform in 28 sec . what is the length of the platform ?
|
the batting average of a particular batsman is 60 runs in 46 innings . if the difference in his highest and lowest score is 170 runs and his average excluding these two innings is 58 runs , find his highest score .
|
[
{
"content": "the batting average of a particular batsman is 60 runs in 46 innings . if the difference in his highest and lowest score is 170 runs and his average excluding these two innings is 58 runs , find his highest score .",
"role": "user"
},
{
"content": "To find the batsman's highest score, consider the difference between his highest and lowest scores is 170 runs, and his average score excluding those two innings is 58 runs, given his overall batting average is 60 runs in 46 innings.",
"role": "assistant"
}
] |
To find the batsman's highest score, consider the difference between his highest and lowest scores is 170 runs, and his average score excluding those two innings is 58 runs, given his overall batting average is 60 runs in 46 innings.
|
the batting average of a particular batsman is 60 runs in 46 innings . if the difference in his highest and lowest score is 170 runs and his average excluding these two innings is 58 runs , find his highest score .
|
the speeds of three asteroids were compared . asteroids x - 13 and y - 14 were observed for identical durations , while asteroid z - 15 was observed for 2 seconds longer . during its period of observation , asteroid y - 14 traveled three times the distance x - 13 traveled , and therefore y - 14 was found to be faster than x - 13 by 1000 kilometers per second . asteroid z - 15 had an identical speed as that of x - 13 , but because z - 15 was observed for a longer period , it traveled five times the distance x - 13 traveled during x - 13 ' s inspection . asteroid x - 13 traveled how many kilometers during its observation ?
|
[
{
"content": "the speeds of three asteroids were compared . asteroids x - 13 and y - 14 were observed for identical durations , while asteroid z - 15 was observed for 2 seconds longer . during its period of observation , asteroid y - 14 traveled three times the distance x - 13 traveled , and therefore y - 14 was found to be faster than x - 13 by 1000 kilometers per second . asteroid z - 15 had an identical speed as that of x - 13 , but because z - 15 was observed for a longer period , it traveled five times the distance x - 13 traveled during x - 13 ' s inspection . asteroid x - 13 traveled how many kilometers during its observation ?",
"role": "user"
},
{
"content": "What distance did asteroid x - 13 travel during its observation period ?",
"role": "assistant"
}
] |
What distance did asteroid x - 13 travel during its observation period ?
|
the speeds of three asteroids were compared . asteroids x - 13 and y - 14 were observed for identical durations , while asteroid z - 15 was observed for 2 seconds longer . during its period of observation , asteroid y - 14 traveled three times the distance x - 13 traveled , and therefore y - 14 was found to be faster than x - 13 by 1000 kilometers per second . asteroid z - 15 had an identical speed as that of x - 13 , but because z - 15 was observed for a longer period , it traveled five times the distance x - 13 traveled during x - 13 ' s inspection . asteroid x - 13 traveled how many kilometers during its observation ?
|
in town x , 64 percent of the population are employed , and 35 percent of the population are employed males . what percent of the employed people in town x are females ?
|
[
{
"content": "in town x , 64 percent of the population are employed , and 35 percent of the population are employed males . what percent of the employed people in town x are females ?",
"role": "user"
},
{
"content": "In town x, what percentage of the workforce are women?",
"role": "assistant"
}
] |
In town x, what percentage of the workforce are women?
|
in town x , 64 percent of the population are employed , and 35 percent of the population are employed males . what percent of the employed people in town x are females ?
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everyone shakes hands with everyone else in a room . total number of handshakes is 91 . number of persons = ?
|
[
{
"content": "everyone shakes hands with everyone else in a room . total number of handshakes is 91 . number of persons = ?",
"role": "user"
},
{
"content": "If everyone in a room shakes hands with each other, and there are 91 handshakes, how many people are in the room?",
"role": "assistant"
}
] |
If everyone in a room shakes hands with each other, and there are 91 handshakes, how many people are in the room?
|
everyone shakes hands with everyone else in a room . total number of handshakes is 91 . number of persons = ?
|
12008 - 50 Γ· 10.00 = ?
|
[
{
"content": "12008 - 50 Γ· 10.00 = ?",
"role": "user"
},
{
"content": "What is the result of 12008 minus 50 divided by 10.",
"role": "assistant"
}
] |
What is the result of 12008 minus 50 divided by 10.
|
12008 - 50 Γ· 10.00 = ?
|
6 ^ 4 β 4 ^ 4 = ?
|
[
{
"content": "6 ^ 4 β 4 ^ 4 = ?",
"role": "user"
},
{
"content": "What is the value of 6 to the power of 4 minus 4 to the power of 4?",
"role": "assistant"
}
] |
What is the value of 6 to the power of 4 minus 4 to the power of 4?
|
6 ^ 4 β 4 ^ 4 = ?
|
find the value of ( 950 + 220 / 900 ) Γ 900
|
[
{
"content": "find the value of ( 950 + 220 / 900 ) Γ 900",
"role": "user"
},
{
"content": "What is the result of ( 950 + 220 / 900 ) multiplied by 900",
"role": "assistant"
}
] |
What is the result of ( 950 + 220 / 900 ) multiplied by 900
|
find the value of ( 950 + 220 / 900 ) Γ 900
|
__ 2 a x __ b ____ cc in the multiplication problem above , a , b , and c represent distinct digits . if the sum of a and b is equal to 4.6 , what is the value of c ?
|
[
{
"content": "__ 2 a x __ b ____ cc in the multiplication problem above , a , b , and c represent distinct digits . if the sum of a and b is equal to 4.6 , what is the value of c ?",
"role": "user"
},
{
"content": "In the equation 2axb x cc, with a, b, and c as distinct digits, if a + b equals 4.6, what is the value of c?",
"role": "assistant"
}
] |
In the equation 2axb x cc, with a, b, and c as distinct digits, if a + b equals 4.6, what is the value of c?
|
__ 2 a x __ b ____ cc in the multiplication problem above , a , b , and c represent distinct digits . if the sum of a and b is equal to 4.6 , what is the value of c ?
|
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 9 % . if ron imported a $ 18,000 imported car and ended up paying $ 1950 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 9 % . if ron imported a $ 18,000 imported car and ended up paying $ 1950 in taxes , what is the first tier ' s price level ?",
"role": "user"
},
{
"content": "What is the price threshold for the first tier of country C's two-tiered tax on imported cars, where the first 12% applies up to that point and 9% thereafter, given that Ron paid $1950 in taxes on an $18,000 imported car?",
"role": "assistant"
}
] |
What is the price threshold for the first tier of country C's two-tiered tax on imported cars, where the first 12% applies up to that point and 9% thereafter, given that Ron paid $1950 in taxes on an $18,000 imported car?
|
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 9 % . if ron imported a $ 18,000 imported car and ended up paying $ 1950 in taxes , what is the first tier ' s price level ?
|
if ( 4 - x ) / ( 3 + x ) = x , what is the value of x ^ 2 + 4 x - 4 ?
|
[
{
"content": "if ( 4 - x ) / ( 3 + x ) = x , what is the value of x ^ 2 + 4 x - 4 ?",
"role": "user"
},
{
"content": "Given ( 4 - x ) / ( 3 + x ) = x , what is the value of x squared plus 4 x minus 4 ?",
"role": "assistant"
}
] |
Given ( 4 - x ) / ( 3 + x ) = x , what is the value of x squared plus 4 x minus 4 ?
|
if ( 4 - x ) / ( 3 + x ) = x , what is the value of x ^ 2 + 4 x - 4 ?
|
in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 2 , - 2 ) , ( 2 , 6 ) , ( 14 , 2 ) , ( 14 , - 5 ) ?
|
[
{
"content": "in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 2 , - 2 ) , ( 2 , 6 ) , ( 14 , 2 ) , ( 14 , - 5 ) ?",
"role": "user"
},
{
"content": "What is the area of the quadrilateral with vertices (2, -2), (2, 6), (14, 2), and (14, -5) in a rectangular coordinate system?",
"role": "assistant"
}
] |
What is the area of the quadrilateral with vertices (2, -2), (2, 6), (14, 2), and (14, -5) in a rectangular coordinate system?
|
in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 2 , - 2 ) , ( 2 , 6 ) , ( 14 , 2 ) , ( 14 , - 5 ) ?
|
a scuba diver descends at a rate of 40 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 3000 feet below the sea level . . how long will he take to reach the ship ?
|
[
{
"content": "a scuba diver descends at a rate of 40 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 3000 feet below the sea level . . how long will he take to reach the ship ?",
"role": "user"
},
{
"content": "A scuba diver descends at a rate of 40 feet per minute. A diver dives from a ship to search for a lost ship at a depth of 3000 feet below sea level. How long will it take to reach the ship?",
"role": "assistant"
}
] |
A scuba diver descends at a rate of 40 feet per minute. A diver dives from a ship to search for a lost ship at a depth of 3000 feet below sea level. How long will it take to reach the ship?
|
a scuba diver descends at a rate of 40 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 3000 feet below the sea level . . how long will he take to reach the ship ?
|
a man , a woman and a boy can together complete a piece of work in 3 days . if a man alone can do it in 6 days and a boy alone in 18 days , how long will a woman take to complete the work ?
|
[
{
"content": "a man , a woman and a boy can together complete a piece of work in 3 days . if a man alone can do it in 6 days and a boy alone in 18 days , how long will a woman take to complete the work ?",
"role": "user"
},
{
"content": "If a man and a boy together can complete a piece of work in 3 days, a man alone in 6 days and a boy alone in 18 days, how many days will a woman take to complete the work?",
"role": "assistant"
}
] |
If a man and a boy together can complete a piece of work in 3 days, a man alone in 6 days and a boy alone in 18 days, how many days will a woman take to complete the work?
|
a man , a woman and a boy can together complete a piece of work in 3 days . if a man alone can do it in 6 days and a boy alone in 18 days , how long will a woman take to complete the work ?
|
running at the same constant rate , 6 identical machines can produce a total of 270 pens per minute . at this rate , how many pens could 10 such machines produce in 4 minutes ?
|
[
{
"content": "running at the same constant rate , 6 identical machines can produce a total of 270 pens per minute . at this rate , how many pens could 10 such machines produce in 4 minutes ?",
"role": "user"
},
{
"content": "Operating at the same constant rate, 6 identical machines produce a total of 270 pens per minute. At this rate, how many pens can 10 such machines produce in 4 minutes?",
"role": "assistant"
}
] |
Operating at the same constant rate, 6 identical machines produce a total of 270 pens per minute. At this rate, how many pens can 10 such machines produce in 4 minutes?
|
running at the same constant rate , 6 identical machines can produce a total of 270 pens per minute . at this rate , how many pens could 10 such machines produce in 4 minutes ?
|
a tank with a volume of 45 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 5 cubic inches / min and the 2 outlet pipes empty it out at the rates of 14 cubic inches / min and 6 cubic inches / min respectively . if all 3 pipes are opened when the tank is full , how many minutes does it take to empty the tank ? ( 1 foot = 12 inches )
|
[
{
"content": "a tank with a volume of 45 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 5 cubic inches / min and the 2 outlet pipes empty it out at the rates of 14 cubic inches / min and 6 cubic inches / min respectively . if all 3 pipes are opened when the tank is full , how many minutes does it take to empty the tank ? ( 1 foot = 12 inches )",
"role": "user"
},
{
"content": "How many minutes will it take to empty a 45 cubic foot tank with one 5 cubic inches/minute inlet and two 14 and 6 cubic inches/minute outlets when all three are open?",
"role": "assistant"
}
] |
How many minutes will it take to empty a 45 cubic foot tank with one 5 cubic inches/minute inlet and two 14 and 6 cubic inches/minute outlets when all three are open?
|
a tank with a volume of 45 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 5 cubic inches / min and the 2 outlet pipes empty it out at the rates of 14 cubic inches / min and 6 cubic inches / min respectively . if all 3 pipes are opened when the tank is full , how many minutes does it take to empty the tank ? ( 1 foot = 12 inches )
|
from the sale of sleeping bags , a retailer made a gross profit of 13 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?
|
[
{
"content": "from the sale of sleeping bags , a retailer made a gross profit of 13 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?",
"role": "user"
},
{
"content": "If each sleeping bag was sold for $28 and the retailer made a 13% gross profit on the wholesale cost, what was the wholesale cost per bag?",
"role": "assistant"
}
] |
If each sleeping bag was sold for $28 and the retailer made a 13% gross profit on the wholesale cost, what was the wholesale cost per bag?
|
from the sale of sleeping bags , a retailer made a gross profit of 13 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?
|
a light has a rating of 86 watts , it is replaced with a new light that has 18 % higher wattage . how many watts does the new light have ?
|
[
{
"content": "a light has a rating of 86 watts , it is replaced with a new light that has 18 % higher wattage . how many watts does the new light have ?",
"role": "user"
},
{
"content": "A light with 86 watts is replaced by a new one with 18% higher wattage. What is the wattage of the new light?",
"role": "assistant"
}
] |
A light with 86 watts is replaced by a new one with 18% higher wattage. What is the wattage of the new light?
|
a light has a rating of 86 watts , it is replaced with a new light that has 18 % higher wattage . how many watts does the new light have ?
|
a boat running upstream takes 8 hours 48 minutes to cover a certain distance , while it takes 4 hours to cover the same distance running downstream . what is the ratio between the speed of the boat and speed of the water current respectively ?
|
[
{
"content": "a boat running upstream takes 8 hours 48 minutes to cover a certain distance , while it takes 4 hours to cover the same distance running downstream . what is the ratio between the speed of the boat and speed of the water current respectively ?",
"role": "user"
},
{
"content": "What is the speed ratio of the boat to the water current when the boat takes 8 hours 48 minutes to travel upstream and 4 hours to travel downstream?",
"role": "assistant"
}
] |
What is the speed ratio of the boat to the water current when the boat takes 8 hours 48 minutes to travel upstream and 4 hours to travel downstream?
|
a boat running upstream takes 8 hours 48 minutes to cover a certain distance , while it takes 4 hours to cover the same distance running downstream . what is the ratio between the speed of the boat and speed of the water current respectively ?
|
a worker makes a toy in every 1 h . if he works for 100 h , then how many toys will he make ?
|
[
{
"content": "a worker makes a toy in every 1 h . if he works for 100 h , then how many toys will he make ?",
"role": "user"
},
{
"content": "If a worker produces one toy per hour, how many will he produce in 100 hours?",
"role": "assistant"
}
] |
If a worker produces one toy per hour, how many will he produce in 100 hours?
|
a worker makes a toy in every 1 h . if he works for 100 h , then how many toys will he make ?
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there are 3000 students in a school and among them 20 % of them attends chess class . 40 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ?
|
[
{
"content": "there are 3000 students in a school and among them 20 % of them attends chess class . 40 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ?",
"role": "user"
},
{
"content": "How many students will attend swimming class if all enrolled students show up, given that 3000 students are in the school, 20% attend chess class, and 40% of chess class students are also enrolled in swimming?",
"role": "assistant"
}
] |
How many students will attend swimming class if all enrolled students show up, given that 3000 students are in the school, 20% attend chess class, and 40% of chess class students are also enrolled in swimming?
|
there are 3000 students in a school and among them 20 % of them attends chess class . 40 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ?
|
the present population of a town is 280 . population increase rate is 10 % p . a . find the population of town after 1 years ?
|
[
{
"content": "the present population of a town is 280 . population increase rate is 10 % p . a . find the population of town after 1 years ?",
"role": "user"
},
{
"content": "What will be the town's population after 1 year with a 10% annual growth rate from its current 280 residents?",
"role": "assistant"
}
] |
What will be the town's population after 1 year with a 10% annual growth rate from its current 280 residents?
|
the present population of a town is 280 . population increase rate is 10 % p . a . find the population of town after 1 years ?
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mary sold boxes of butter cookies . ann sold 5 times as much as she did . 18 boxes of cookies were sold that day , how many boxes did mary sell ?
|
[
{
"content": "mary sold boxes of butter cookies . ann sold 5 times as much as she did . 18 boxes of cookies were sold that day , how many boxes did mary sell ?",
"role": "user"
},
{
"content": "How many boxes of cookies did Mary sell if Ann sold five times more than her and 18 boxes were sold in total that day?",
"role": "assistant"
}
] |
How many boxes of cookies did Mary sell if Ann sold five times more than her and 18 boxes were sold in total that day?
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mary sold boxes of butter cookies . ann sold 5 times as much as she did . 18 boxes of cookies were sold that day , how many boxes did mary sell ?
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a batsman in his 9 th inning makes a score of 75 and their by increasing his average by 7 . what is his average after the 9 th inning ?
|
[
{
"content": "a batsman in his 9 th inning makes a score of 75 and their by increasing his average by 7 . what is his average after the 9 th inning ?",
"role": "user"
},
{
"content": "After scoring 75 in the 9th inning, raising his average by 7, what will the batsman's new average be?",
"role": "assistant"
}
] |
After scoring 75 in the 9th inning, raising his average by 7, what will the batsman's new average be?
|
a batsman in his 9 th inning makes a score of 75 and their by increasing his average by 7 . what is his average after the 9 th inning ?
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a man can row at 5 kmph in still water . if the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back , how far is the place ?
|
[
{
"content": "a man can row at 5 kmph in still water . if the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back , how far is the place ?",
"role": "user"
},
{
"content": "If a man rows at 5 km/h in still water and the current's velocity is 1 km/h, how far away is the place he can reach and return from in 1 hour",
"role": "assistant"
}
] |
If a man rows at 5 km/h in still water and the current's velocity is 1 km/h, how far away is the place he can reach and return from in 1 hour
|
a man can row at 5 kmph in still water . if the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back , how far is the place ?
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working alone at its constant rate , machine a produces x boxes in 10 minutes and working alone at its constant rate , machine b produces 2 x boxes in 5 minutes . how many minutes does it take machines a and b , working simultaneously at their respective constant rates , to produce 4 x boxes ?
|
[
{
"content": "working alone at its constant rate , machine a produces x boxes in 10 minutes and working alone at its constant rate , machine b produces 2 x boxes in 5 minutes . how many minutes does it take machines a and b , working simultaneously at their respective constant rates , to produce 4 x boxes ?",
"role": "user"
},
{
"content": "Working at a constant rate, machine A produces x boxes in 10 minutes, and working at a constant rate, machine B produces 2x boxes in 5 minutes. How long does it take for machines A and B to produce 4x boxes when working together at their respective constant rates?",
"role": "assistant"
}
] |
Working at a constant rate, machine A produces x boxes in 10 minutes, and working at a constant rate, machine B produces 2x boxes in 5 minutes. How long does it take for machines A and B to produce 4x boxes when working together at their respective constant rates?
|
working alone at its constant rate , machine a produces x boxes in 10 minutes and working alone at its constant rate , machine b produces 2 x boxes in 5 minutes . how many minutes does it take machines a and b , working simultaneously at their respective constant rates , to produce 4 x boxes ?
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in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 4 rows in all and a total of 134 bricks in the wall , how many bricks does the bottom row contain ?
|
[
{
"content": "in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 4 rows in all and a total of 134 bricks in the wall , how many bricks does the bottom row contain ?",
"role": "user"
},
{
"content": "In a brick wall with 4 rows, each row above the bottom has one fewer brick than the one below it. How many bricks are in the bottom row if there are 134 bricks in total?",
"role": "assistant"
}
] |
In a brick wall with 4 rows, each row above the bottom has one fewer brick than the one below it. How many bricks are in the bottom row if there are 134 bricks in total?
|
in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 4 rows in all and a total of 134 bricks in the wall , how many bricks does the bottom row contain ?
|
if paint costs $ 3.10 per quart , and a quart covers 20 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ?
|
[
{
"content": "if paint costs $ 3.10 per quart , and a quart covers 20 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ?",
"role": "user"
},
{
"content": "What is the cost to paint a 10-foot cube, given that paint is $3.10 per quart and each quart covers 20 square feet?",
"role": "assistant"
}
] |
What is the cost to paint a 10-foot cube, given that paint is $3.10 per quart and each quart covers 20 square feet?
|
if paint costs $ 3.10 per quart , and a quart covers 20 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ?
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a man engaged a servant on the condition that he would pay him rs . 1000 and a uniform after one year service . he served only for 9 months and received uniform and rs . 550 , find the price of the uniform ?
|
[
{
"content": "a man engaged a servant on the condition that he would pay him rs . 1000 and a uniform after one year service . he served only for 9 months and received uniform and rs . 550 , find the price of the uniform ?",
"role": "user"
},
{
"content": "What is the price of the uniform a man received after serving 9 months, given he was promised Rs. 1000 and a uniform for 1 year of service, but was paid Rs. 550?",
"role": "assistant"
}
] |
What is the price of the uniform a man received after serving 9 months, given he was promised Rs. 1000 and a uniform for 1 year of service, but was paid Rs. 550?
|
a man engaged a servant on the condition that he would pay him rs . 1000 and a uniform after one year service . he served only for 9 months and received uniform and rs . 550 , find the price of the uniform ?
|
how many distinct prime numbers are factors of 33150 ?
|
[
{
"content": "how many distinct prime numbers are factors of 33150 ?",
"role": "user"
},
{
"content": "What is the number of distinct prime factors of 33150 ?",
"role": "assistant"
}
] |
What is the number of distinct prime factors of 33150 ?
|
how many distinct prime numbers are factors of 33150 ?
|
a glass was filled with 24 ounces of water , and 0.06 ounce of the water evaporated each day during a 12 - day period . what percent of the original amount of water evaporated during this period ?
|
[
{
"content": "a glass was filled with 24 ounces of water , and 0.06 ounce of the water evaporated each day during a 12 - day period . what percent of the original amount of water evaporated during this period ?",
"role": "user"
},
{
"content": "During a 12-day period, what percentage of the original 24 ounces of water was lost due to 0.06 ounces evaporating each day?",
"role": "assistant"
}
] |
During a 12-day period, what percentage of the original 24 ounces of water was lost due to 0.06 ounces evaporating each day?
|
a glass was filled with 24 ounces of water , and 0.06 ounce of the water evaporated each day during a 12 - day period . what percent of the original amount of water evaporated during this period ?
|
i chose a number and divide it by 4 . then i subtracted 18 from the result and got 7 . what was the number i chose ?
|
[
{
"content": "i chose a number and divide it by 4 . then i subtracted 18 from the result and got 7 . what was the number i chose ?",
"role": "user"
},
{
"content": "What number did I originally pick if I divided it by 4, then subtracted 18 and got 7?",
"role": "assistant"
}
] |
What number did I originally pick if I divided it by 4, then subtracted 18 and got 7?
|
i chose a number and divide it by 4 . then i subtracted 18 from the result and got 7 . what was the number i chose ?
|
there are 76 persons . 54 can read hindu , 43 can read times , 37 can read deccan and 15 can read all . if 24 can read hindu and deccan and 27 can read deccan and times then what is the number of persons who read only times and hindu .
|
[
{
"content": "there are 76 persons . 54 can read hindu , 43 can read times , 37 can read deccan and 15 can read all . if 24 can read hindu and deccan and 27 can read deccan and times then what is the number of persons who read only times and hindu .",
"role": "user"
},
{
"content": "How many people read only Times and Hindu, given that out of 76 individuals, 54 read Hindu, 43 read Times, 37 read Deccan, 15 read all, 24 read Hindu and Deccan, and 27 read Deccan and Times?",
"role": "assistant"
}
] |
How many people read only Times and Hindu, given that out of 76 individuals, 54 read Hindu, 43 read Times, 37 read Deccan, 15 read all, 24 read Hindu and Deccan, and 27 read Deccan and Times?
|
there are 76 persons . 54 can read hindu , 43 can read times , 37 can read deccan and 15 can read all . if 24 can read hindu and deccan and 27 can read deccan and times then what is the number of persons who read only times and hindu .
|
the original price of a suit is $ 100 . the price increased 20 % , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ?
|
[
{
"content": "the original price of a suit is $ 100 . the price increased 20 % , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ?",
"role": "user"
},
{
"content": "What amount did consumers pay for the suit after applying the 20% off coupon to the increased price of $120?",
"role": "assistant"
}
] |
What amount did consumers pay for the suit after applying the 20% off coupon to the increased price of $120?
|
the original price of a suit is $ 100 . the price increased 20 % , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ?
|
the average runs scored by a batsman in 20 matches is 40 . in the next 30 matches the batsman scored an average of 20 runs . find his average in all the 50 matches ?
|
[
{
"content": "the average runs scored by a batsman in 20 matches is 40 . in the next 30 matches the batsman scored an average of 20 runs . find his average in all the 50 matches ?",
"role": "user"
},
{
"content": "What is the batsman's overall average after scoring 40 runs in 20 matches and 20 runs in the next 30 matches, across all 50 matches?",
"role": "assistant"
}
] |
What is the batsman's overall average after scoring 40 runs in 20 matches and 20 runs in the next 30 matches, across all 50 matches?
|
the average runs scored by a batsman in 20 matches is 40 . in the next 30 matches the batsman scored an average of 20 runs . find his average in all the 50 matches ?
|
the sum of 55 consecutive integers is 5555 . what is the greatest integer in the set ?
|
[
{
"content": "the sum of 55 consecutive integers is 5555 . what is the greatest integer in the set ?",
"role": "user"
},
{
"content": "What is the largest number in a sequence of 55 consecutive integers that add up to 5555?",
"role": "assistant"
}
] |
What is the largest number in a sequence of 55 consecutive integers that add up to 5555?
|
the sum of 55 consecutive integers is 5555 . what is the greatest integer in the set ?
|
in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 5000 , the number of valid votes that the other candidate got , was :
|
[
{
"content": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 5000 , the number of valid votes that the other candidate got , was :",
"role": "user"
},
{
"content": "In a two-candidate election, one candidate received 55% of the valid votes, while 20% of the total votes were invalid; if there were 5000 total votes, how many valid votes did the other candidate receive?",
"role": "assistant"
}
] |
In a two-candidate election, one candidate received 55% of the valid votes, while 20% of the total votes were invalid; if there were 5000 total votes, how many valid votes did the other candidate receive?
|
in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 5000 , the number of valid votes that the other candidate got , was :
|
how many ounces of a 60 % salt solution must be added to 50 ounces of a 20 percent salt solution so that the resulting mixture is 50 % salt ?
|
[
{
"content": "how many ounces of a 60 % salt solution must be added to 50 ounces of a 20 percent salt solution so that the resulting mixture is 50 % salt ?",
"role": "user"
},
{
"content": "What amount of a 60% salt solution needs to be added to 50 ounces of a 20% salt solution to achieve a 50% salt mixture?",
"role": "assistant"
}
] |
What amount of a 60% salt solution needs to be added to 50 ounces of a 20% salt solution to achieve a 50% salt mixture?
|
how many ounces of a 60 % salt solution must be added to 50 ounces of a 20 percent salt solution so that the resulting mixture is 50 % salt ?
|
for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 8 of whom are females , by how much does the index for the females exceed the index for the males in the group ?
|
[
{
"content": "for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 8 of whom are females , by how much does the index for the females exceed the index for the males in the group ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text, preserving the original structure and semantics:\n\nIn a group of n people, with k sharing the same gender, the (n-k)/n formula calculates a specific group dynamics index for that gender. In a group of 20 people, with 8 females, what is the difference between the female and male indices?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text, preserving the original structure and semantics:
In a group of n people, with k sharing the same gender, the (n-k)/n formula calculates a specific group dynamics index for that gender. In a group of 20 people, with 8 females, what is the difference between the female and male indices?
|
for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 8 of whom are females , by how much does the index for the females exceed the index for the males in the group ?
|
chocolate bars are sold in packages of 4 or 9 only . if mark bought 97 chocolate bars exactly , what could be the number of large packs mark bought ?
|
[
{
"content": "chocolate bars are sold in packages of 4 or 9 only . if mark bought 97 chocolate bars exactly , what could be the number of large packs mark bought ?",
"role": "user"
},
{
"content": "How many large packs did Mark buy if he purchased 97 chocolate bars, given that they are only sold in packs of 4 or 9?",
"role": "assistant"
}
] |
How many large packs did Mark buy if he purchased 97 chocolate bars, given that they are only sold in packs of 4 or 9?
|
chocolate bars are sold in packages of 4 or 9 only . if mark bought 97 chocolate bars exactly , what could be the number of large packs mark bought ?
|
the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 20 % profit ?
|
[
{
"content": "the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 20 % profit ?",
"role": "user"
},
{
"content": "At what price should the article be sold to make a 20% profit, given that selling it for Rs. 1920 yields the same percentage profit as selling it for Rs. 1280 results in a loss?",
"role": "assistant"
}
] |
At what price should the article be sold to make a 20% profit, given that selling it for Rs. 1920 yields the same percentage profit as selling it for Rs. 1280 results in a loss?
|
the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 20 % profit ?
|
a student completes a 3 part exam as follows . the student completes sections a in 6 minutes and takes an equal time to complete the two remaining sections . what is the ratio of time spent on section c to section a if the total duration is 1 hour ?
|
[
{
"content": "a student completes a 3 part exam as follows . the student completes sections a in 6 minutes and takes an equal time to complete the two remaining sections . what is the ratio of time spent on section c to section a if the total duration is 1 hour ?",
"role": "user"
},
{
"content": "If a student finishes the 3-part exam in 1 hour, with section A taking 6 minutes and sections B and C taking an equal amount of time, what is the time ratio of section C to section A?",
"role": "assistant"
}
] |
If a student finishes the 3-part exam in 1 hour, with section A taking 6 minutes and sections B and C taking an equal amount of time, what is the time ratio of section C to section A?
|
a student completes a 3 part exam as follows . the student completes sections a in 6 minutes and takes an equal time to complete the two remaining sections . what is the ratio of time spent on section c to section a if the total duration is 1 hour ?
|
find the least number must be subtracted from 531742 so that remaining no . is divisible by 3 ?
|
[
{
"content": "find the least number must be subtracted from 531742 so that remaining no . is divisible by 3 ?",
"role": "user"
},
{
"content": "What is the smallest number that needs to be subtracted from 531742 to make the remaining number divisible by 3?",
"role": "assistant"
}
] |
What is the smallest number that needs to be subtracted from 531742 to make the remaining number divisible by 3?
|
find the least number must be subtracted from 531742 so that remaining no . is divisible by 3 ?
|
10 men can cut 10 trees in 2 hours . if 2 men leave the job , how many trees will be cut in 3 hours ?
|
[
{
"content": "10 men can cut 10 trees in 2 hours . if 2 men leave the job , how many trees will be cut in 3 hours ?",
"role": "user"
},
{
"content": "If 2 men quit, how many trees can 8 men cut in 3 hours?",
"role": "assistant"
}
] |
If 2 men quit, how many trees can 8 men cut in 3 hours?
|
10 men can cut 10 trees in 2 hours . if 2 men leave the job , how many trees will be cut in 3 hours ?
|
a person ' s present age is one - fifth of the age of his mother . after 8 years , he will be one - half of the age of his mother . how old is the mother at present ?
|
[
{
"content": "a person ' s present age is one - fifth of the age of his mother . after 8 years , he will be one - half of the age of his mother . how old is the mother at present ?",
"role": "user"
},
{
"content": "What is the mother's current age",
"role": "assistant"
}
] |
What is the mother's current age
|
a person ' s present age is one - fifth of the age of his mother . after 8 years , he will be one - half of the age of his mother . how old is the mother at present ?
|
find the product of the place value and face value of 3 in 5769354
|
[
{
"content": "find the product of the place value and face value of 3 in 5769354",
"role": "user"
},
{
"content": "What is the product of the place value and face value of the digit 3 in the number 5769354?",
"role": "assistant"
}
] |
What is the product of the place value and face value of the digit 3 in the number 5769354?
|
find the product of the place value and face value of 3 in 5769354
|
if x and y are integers such that x ^ 2 = 2 y and xy = 32 , then x β y = ?
|
[
{
"content": "if x and y are integers such that x ^ 2 = 2 y and xy = 32 , then x β y = ?",
"role": "user"
},
{
"content": "What is the value of x minus y, given x squared equals 2y and xy equals 32, for integer values of x and y?",
"role": "assistant"
}
] |
What is the value of x minus y, given x squared equals 2y and xy equals 32, for integer values of x and y?
|
if x and y are integers such that x ^ 2 = 2 y and xy = 32 , then x β y = ?
|
a shopkeeper loses 15 % , if an article is sold for $ 102 . what should be the selling price of the article to gain 20 % ?
|
[
{
"content": "a shopkeeper loses 15 % , if an article is sold for $ 102 . what should be the selling price of the article to gain 20 % ?",
"role": "user"
},
{
"content": "What should be the selling price of an article to gain 20% if the shopkeeper loses 15% when it's sold for $102?",
"role": "assistant"
}
] |
What should be the selling price of an article to gain 20% if the shopkeeper loses 15% when it's sold for $102?
|
a shopkeeper loses 15 % , if an article is sold for $ 102 . what should be the selling price of the article to gain 20 % ?
|
after decreasing 24 % in the price of an article costs rs . 912 . find the actual cost of an article ?
|
[
{
"content": "after decreasing 24 % in the price of an article costs rs . 912 . find the actual cost of an article ?",
"role": "user"
},
{
"content": "What was the original price of the article before the 24% decrease that resulted in a cost of Rs. 912?",
"role": "assistant"
}
] |
What was the original price of the article before the 24% decrease that resulted in a cost of Rs. 912?
|
after decreasing 24 % in the price of an article costs rs . 912 . find the actual cost of an article ?
|
a man sells an article at 10 % gain . had be sold at for rs . 60 / - more he could have gained 20 % what is cost price of article
|
[
{
"content": "a man sells an article at 10 % gain . had be sold at for rs . 60 / - more he could have gained 20 % what is cost price of article",
"role": "user"
},
{
"content": "Here's a paraphrased version of the given text:\n\nA man sells an item at a 10% profit. If he had sold it for Rs. 60 more, he could have made a 20% profit. What was the cost price of the item?",
"role": "assistant"
}
] |
Here's a paraphrased version of the given text:
A man sells an item at a 10% profit. If he had sold it for Rs. 60 more, he could have made a 20% profit. What was the cost price of the item?
|
a man sells an article at 10 % gain . had be sold at for rs . 60 / - more he could have gained 20 % what is cost price of article
|
a train covers a distance of 10 km in 20 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?
|
[
{
"content": "a train covers a distance of 10 km in 20 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?",
"role": "user"
},
{
"content": "What is the length of the train if it takes 6 seconds to pass a telegraph post after covering 10 km in 20 minutes?",
"role": "assistant"
}
] |
What is the length of the train if it takes 6 seconds to pass a telegraph post after covering 10 km in 20 minutes?
|
a train covers a distance of 10 km in 20 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?
|
if x Β€ y = ( x + y ) ^ 2 - ( x - y ) ^ 2 . then β 7 Β€ β 7 =
|
[
{
"content": "if x Β€ y = ( x + y ) ^ 2 - ( x - y ) ^ 2 . then β 7 Β€ β 7 =",
"role": "user"
},
{
"content": "If x Β€ y = ( x + y ) ^ 2 - ( x - y ) ^ 2 , then β 7 Β€ β 7 =",
"role": "assistant"
}
] |
If x Β€ y = ( x + y ) ^ 2 - ( x - y ) ^ 2 , then β 7 Β€ β 7 =
|
if x Β€ y = ( x + y ) ^ 2 - ( x - y ) ^ 2 . then β 7 Β€ β 7 =
|
6 people can do work in 80 days how much people they required to complete the work in 16 days ?
|
[
{
"content": "6 people can do work in 80 days how much people they required to complete the work in 16 days ?",
"role": "user"
},
{
"content": "How many people are needed to complete the work in 16 days if 6 people can do it in 80 days?",
"role": "assistant"
}
] |
How many people are needed to complete the work in 16 days if 6 people can do it in 80 days?
|
6 people can do work in 80 days how much people they required to complete the work in 16 days ?
|
the average of 10 consecutive integers is 15 . then , 9 is deducted from the first consecutive number , 8 is deducted from the second , 7 is deducted form the third , and so on until the last number which remains unchanged . what is the new average ?
|
[
{
"content": "the average of 10 consecutive integers is 15 . then , 9 is deducted from the first consecutive number , 8 is deducted from the second , 7 is deducted form the third , and so on until the last number which remains unchanged . what is the new average ?",
"role": "user"
},
{
"content": "After the average of 10 consecutive integers is 15, 9 is subtracted from the first, 8 from the second, 7 from the third, and so on, until the last number remains the same. What is the new average?",
"role": "assistant"
}
] |
After the average of 10 consecutive integers is 15, 9 is subtracted from the first, 8 from the second, 7 from the third, and so on, until the last number remains the same. What is the new average?
|
the average of 10 consecutive integers is 15 . then , 9 is deducted from the first consecutive number , 8 is deducted from the second , 7 is deducted form the third , and so on until the last number which remains unchanged . what is the new average ?
|
on a map the distance between two mountains is 312 inches . the actual distance between the mountains is 140 km . ram is camped at a location that on the map is 34 inch from the base of the mountain . how many km is he from the base of the mountain ?
|
[
{
"content": "on a map the distance between two mountains is 312 inches . the actual distance between the mountains is 140 km . ram is camped at a location that on the map is 34 inch from the base of the mountain . how many km is he from the base of the mountain ?",
"role": "user"
},
{
"content": "On a map, two mountains are 312 inches apart, but in reality, they are 140 km apart. Ram is 34 inches from the base of the mountain on the map. What is the actual distance from the base of the mountain to Ram in kilometers?",
"role": "assistant"
}
] |
On a map, two mountains are 312 inches apart, but in reality, they are 140 km apart. Ram is 34 inches from the base of the mountain on the map. What is the actual distance from the base of the mountain to Ram in kilometers?
|
on a map the distance between two mountains is 312 inches . the actual distance between the mountains is 140 km . ram is camped at a location that on the map is 34 inch from the base of the mountain . how many km is he from the base of the mountain ?
|
a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 40 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?
|
[
{
"content": "a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 40 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?",
"role": "user"
},
{
"content": "What would have been the total cost of the chicken feed and goat feed if the farmer had paid full price for both?",
"role": "assistant"
}
] |
What would have been the total cost of the chicken feed and goat feed if the farmer had paid full price for both?
|
a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 40 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?
|
a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 8 % dividend at the end of the year , then how much does he get ?
|
[
{
"content": "a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 8 % dividend at the end of the year , then how much does he get ?",
"role": "user"
},
{
"content": "What will be the annual dividend received by a man who invested Rs. 14,400 in Rs. 100 shares of a company at a 20% premium and an 8% dividend rate?",
"role": "assistant"
}
] |
What will be the annual dividend received by a man who invested Rs. 14,400 in Rs. 100 shares of a company at a 20% premium and an 8% dividend rate?
|
a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 8 % dividend at the end of the year , then how much does he get ?
|
a man took loan from a bank at the rate of 12 % p . a . s . i . after 20 years he had to pay rs . 1500 interest only for the period . the principal amount borrowed by him was ?
|
[
{
"content": "a man took loan from a bank at the rate of 12 % p . a . s . i . after 20 years he had to pay rs . 1500 interest only for the period . the principal amount borrowed by him was ?",
"role": "user"
},
{
"content": "What was the principal amount borrowed by the man at 12% p.a. simple interest, if he paid Rs. 1500 as interest after 20 years?",
"role": "assistant"
}
] |
What was the principal amount borrowed by the man at 12% p.a. simple interest, if he paid Rs. 1500 as interest after 20 years?
|
a man took loan from a bank at the rate of 12 % p . a . s . i . after 20 years he had to pay rs . 1500 interest only for the period . the principal amount borrowed by him was ?
|
david and lewis leave chennai for tirupati simultaneously at 7 a . m in the morning driving in two cars at speeds of 60 mph and 80 mph respectively . as soon as lewis reaches tirupati he returns back to chennai along the same route and meets david on the way back . if the distance between the two cities is 160 miles , how far from chennai did david and lewis meet ?
|
[
{
"content": "david and lewis leave chennai for tirupati simultaneously at 7 a . m in the morning driving in two cars at speeds of 60 mph and 80 mph respectively . as soon as lewis reaches tirupati he returns back to chennai along the same route and meets david on the way back . if the distance between the two cities is 160 miles , how far from chennai did david and lewis meet ?",
"role": "user"
},
{
"content": "At what distance from Chennai will David and Lewis meet if they leave Chennai for Tirupati at 7 a.m. at speeds of 60 mph and 80 mph, and Lewis returns to Chennai upon arrival, given the distance between the two cities is 160 miles?",
"role": "assistant"
}
] |
At what distance from Chennai will David and Lewis meet if they leave Chennai for Tirupati at 7 a.m. at speeds of 60 mph and 80 mph, and Lewis returns to Chennai upon arrival, given the distance between the two cities is 160 miles?
|
david and lewis leave chennai for tirupati simultaneously at 7 a . m in the morning driving in two cars at speeds of 60 mph and 80 mph respectively . as soon as lewis reaches tirupati he returns back to chennai along the same route and meets david on the way back . if the distance between the two cities is 160 miles , how far from chennai did david and lewis meet ?
|
what is the smallest positive perfect square that is divisible by 12 , 14 , and 42 ?
|
[
{
"content": "what is the smallest positive perfect square that is divisible by 12 , 14 , and 42 ?",
"role": "user"
},
{
"content": "What is the least perfect square that can be divided evenly by 12, 14, and 42?",
"role": "assistant"
}
] |
What is the least perfect square that can be divided evenly by 12, 14, and 42?
|
what is the smallest positive perfect square that is divisible by 12 , 14 , and 42 ?
|
rs . 6000 is lent out in two parts . one part is lent at 7 % p . a simple interest and the other is lent at 10 % p . a simple interest . the total interest at the end of one year was rs . 450 . find the ratio of the amounts lent at the lower rate and higher rate of interest ?
|
[
{
"content": "rs . 6000 is lent out in two parts . one part is lent at 7 % p . a simple interest and the other is lent at 10 % p . a simple interest . the total interest at the end of one year was rs . 450 . find the ratio of the amounts lent at the lower rate and higher rate of interest ?",
"role": "user"
},
{
"content": "What is the ratio of the amounts lent at 7% and 10% simple interest rates, given that the total interest earned after 1 year from lending Rs. 6000 in two parts is Rs. 450?",
"role": "assistant"
}
] |
What is the ratio of the amounts lent at 7% and 10% simple interest rates, given that the total interest earned after 1 year from lending Rs. 6000 in two parts is Rs. 450?
|
rs . 6000 is lent out in two parts . one part is lent at 7 % p . a simple interest and the other is lent at 10 % p . a simple interest . the total interest at the end of one year was rs . 450 . find the ratio of the amounts lent at the lower rate and higher rate of interest ?
|
the product of x and y is a constant . if the value of x is increased by 60 % , by what percentage must the value of y be decreased ?
|
[
{
"content": "the product of x and y is a constant . if the value of x is increased by 60 % , by what percentage must the value of y be decreased ?",
"role": "user"
},
{
"content": "If the product of x and y is constant, by what percentage must y be decreased when x is increased by 60%?",
"role": "assistant"
}
] |
If the product of x and y is constant, by what percentage must y be decreased when x is increased by 60%?
|
the product of x and y is a constant . if the value of x is increased by 60 % , by what percentage must the value of y be decreased ?
|
linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 400 , what were her original savings ?
|
[
{
"content": "linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 400 , what were her original savings ?",
"role": "user"
},
{
"content": "If Linda spent the remaining 1/4 of her savings on a $400 TV, what was her initial amount of savings?",
"role": "assistant"
}
] |
If Linda spent the remaining 1/4 of her savings on a $400 TV, what was her initial amount of savings?
|
linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 400 , what were her original savings ?
|
city a to city b , andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph . what was the average speed for the whole trip ?
|
[
{
"content": "city a to city b , andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph . what was the average speed for the whole trip ?",
"role": "user"
},
{
"content": "From city A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph, what was the average speed for the entire trip?",
"role": "assistant"
}
] |
From city A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph, what was the average speed for the entire trip?
|
city a to city b , andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph . what was the average speed for the whole trip ?
|
laxmi and prasanna set on a journey . laxmi moves northwards at a speed of 15 kmph and prasanna moves southward at a speed of 45 kmph . how far will be prasanna from laxmi after 60 minutes ?
|
[
{
"content": "laxmi and prasanna set on a journey . laxmi moves northwards at a speed of 15 kmph and prasanna moves southward at a speed of 45 kmph . how far will be prasanna from laxmi after 60 minutes ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nLaxmi and Prasanna embark on a journey. Laxmi travels north at 15 kmph, while Prasanna heads south at 45 kmph. What distance will separate Prasanna from Laxmi after 1 hour?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
Laxmi and Prasanna embark on a journey. Laxmi travels north at 15 kmph, while Prasanna heads south at 45 kmph. What distance will separate Prasanna from Laxmi after 1 hour?
|
laxmi and prasanna set on a journey . laxmi moves northwards at a speed of 15 kmph and prasanna moves southward at a speed of 45 kmph . how far will be prasanna from laxmi after 60 minutes ?
|
car x began traveling at an average speed of 35 miles per hour . after 84 minutes , car y began traveling at an average speed of 42 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?
|
[
{
"content": "car x began traveling at an average speed of 35 miles per hour . after 84 minutes , car y began traveling at an average speed of 42 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?",
"role": "user"
},
{
"content": "Car x began traveling at an average speed of 35 miles per hour. After 84 minutes, car y began traveling at an average speed of 42 miles per hour. When both cars had traveled the same distance, both cars stopped. What distance did car x cover from the time car y started until they both stopped?",
"role": "assistant"
}
] |
Car x began traveling at an average speed of 35 miles per hour. After 84 minutes, car y began traveling at an average speed of 42 miles per hour. When both cars had traveled the same distance, both cars stopped. What distance did car x cover from the time car y started until they both stopped?
|
car x began traveling at an average speed of 35 miles per hour . after 84 minutes , car y began traveling at an average speed of 42 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?
|
the cost of producing x tools by a company is given by c ( x ) = 600 x + 5500 ( in $ ) a ) what is the cost of 100 tools ?
|
[
{
"content": "the cost of producing x tools by a company is given by c ( x ) = 600 x + 5500 ( in $ ) a ) what is the cost of 100 tools ?",
"role": "user"
},
{
"content": "What is the cost of producing 100 tools, given the cost function c(x) = 600x + 5500?",
"role": "assistant"
}
] |
What is the cost of producing 100 tools, given the cost function c(x) = 600x + 5500?
|
the cost of producing x tools by a company is given by c ( x ) = 600 x + 5500 ( in $ ) a ) what is the cost of 100 tools ?
|
how many odd numbers between 10 and 1,000 are the squares of integers ?
|
[
{
"content": "how many odd numbers between 10 and 1,000 are the squares of integers ?",
"role": "user"
},
{
"content": "What is the count of odd perfect squares between 10 and 1,000?",
"role": "assistant"
}
] |
What is the count of odd perfect squares between 10 and 1,000?
|
how many odd numbers between 10 and 1,000 are the squares of integers ?
|
a man can row 11 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and back . what is the total distance traveled by the man ?
|
[
{
"content": "a man can row 11 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and back . what is the total distance traveled by the man ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text:\n\nA man's rowing speed in still water is 11 kmph. When the river's speed is 1.2 kmph, a round trip takes him 1 hour. What distance does the man cover in total?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text:
A man's rowing speed in still water is 11 kmph. When the river's speed is 1.2 kmph, a round trip takes him 1 hour. What distance does the man cover in total?
|
a man can row 11 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and back . what is the total distance traveled by the man ?
|
if the l . c . m of two numbers is 720 and their product is 38880 , find the h . c . f of the numbers .
|
[
{
"content": "if the l . c . m of two numbers is 720 and their product is 38880 , find the h . c . f of the numbers .",
"role": "user"
},
{
"content": "What is the HCF of two numbers with an LCM of 720 and a product of 38880?",
"role": "assistant"
}
] |
What is the HCF of two numbers with an LCM of 720 and a product of 38880?
|
if the l . c . m of two numbers is 720 and their product is 38880 , find the h . c . f of the numbers .
|
a , b and c have rs . 400 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ?
|
[
{
"content": "a , b and c have rs . 400 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ?",
"role": "user"
},
{
"content": "What amount does c have if a, b, and c together have Rs. 400, a and c have Rs. 200 together, and b and c have Rs. 350 together?",
"role": "assistant"
}
] |
What amount does c have if a, b, and c together have Rs. 400, a and c have Rs. 200 together, and b and c have Rs. 350 together?
|
a , b and c have rs . 400 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ?
|
an agent , gets a commission of 2.5 % on the sales of cloth . if on a certain day , he gets rs . 12.50 as commission , the cloth sold through him on that day is worth
|
[
{
"content": "an agent , gets a commission of 2.5 % on the sales of cloth . if on a certain day , he gets rs . 12.50 as commission , the cloth sold through him on that day is worth",
"role": "user"
},
{
"content": "What is the value of the cloth sold through the agent on a certain day if he receives a 2.5% commission of Rs. 12.50",
"role": "assistant"
}
] |
What is the value of the cloth sold through the agent on a certain day if he receives a 2.5% commission of Rs. 12.50
|
an agent , gets a commission of 2.5 % on the sales of cloth . if on a certain day , he gets rs . 12.50 as commission , the cloth sold through him on that day is worth
|
an empty wooden vessel weighs 20 % of its total weight when filled with paint . if the weight of a partially filled vessel is one half that of a completely filled vessel , what fraction of the vessel is filled .
|
[
{
"content": "an empty wooden vessel weighs 20 % of its total weight when filled with paint . if the weight of a partially filled vessel is one half that of a completely filled vessel , what fraction of the vessel is filled .",
"role": "user"
},
{
"content": "A wooden vessel weighs 20% of its full weight when empty. What fraction of the vessel is filled when it weighs half as much as when it's full of paint?",
"role": "assistant"
}
] |
A wooden vessel weighs 20% of its full weight when empty. What fraction of the vessel is filled when it weighs half as much as when it's full of paint?
|
an empty wooden vessel weighs 20 % of its total weight when filled with paint . if the weight of a partially filled vessel is one half that of a completely filled vessel , what fraction of the vessel is filled .
|
a cycle is bought for rs . 900 and sold for rs . 990 , find the gain percent ?
|
[
{
"content": "a cycle is bought for rs . 900 and sold for rs . 990 , find the gain percent ?",
"role": "user"
},
{
"content": "What is the gain percentage when a cycle is purchased for Rs. 900 and sold for Rs. 990?",
"role": "assistant"
}
] |
What is the gain percentage when a cycle is purchased for Rs. 900 and sold for Rs. 990?
|
a cycle is bought for rs . 900 and sold for rs . 990 , find the gain percent ?
|
( 0.0066 ) ( 3.6 ) / ( 0.04 ) ( 0.1 ) ( 0.006 ) =
|
[
{
"content": "( 0.0066 ) ( 3.6 ) / ( 0.04 ) ( 0.1 ) ( 0.006 ) =",
"role": "user"
},
{
"content": "( 0.0066 ) ( 3.6 ) / ( 0.04 ) ( 0.1 ) ( 0.006 ) =",
"role": "assistant"
}
] |
( 0.0066 ) ( 3.6 ) / ( 0.04 ) ( 0.1 ) ( 0.006 ) =
|
( 0.0066 ) ( 3.6 ) / ( 0.04 ) ( 0.1 ) ( 0.006 ) =
|
in the manufacture of a certain product , 9 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?
|
[
{
"content": "in the manufacture of a certain product , 9 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?",
"role": "user"
},
{
"content": "What percentage of the units manufactured are defective and end up being shipped out for sale.",
"role": "assistant"
}
] |
What percentage of the units manufactured are defective and end up being shipped out for sale.
|
in the manufacture of a certain product , 9 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?
|
let c be defined as the sum of all prime numbers between 0 and 30 . what is c / 3
|
[
{
"content": "let c be defined as the sum of all prime numbers between 0 and 30 . what is c / 3",
"role": "user"
},
{
"content": "Let c be the sum of all prime numbers between 0 and 30, what is the result of c divided by 3",
"role": "assistant"
}
] |
Let c be the sum of all prime numbers between 0 and 30, what is the result of c divided by 3
|
let c be defined as the sum of all prime numbers between 0 and 30 . what is c / 3
|
if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 9600 ?
|
[
{
"content": "if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 9600 ?",
"role": "user"
},
{
"content": "What impact does a reduction in sales tax from 3 1/2% to 3 1/3% have on a person buying an article priced at Rs. 9600?",
"role": "assistant"
}
] |
What impact does a reduction in sales tax from 3 1/2% to 3 1/3% have on a person buying an article priced at Rs. 9600?
|
if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 9600 ?
|
a 6 % stock yields 8 % . the market value of the stock is :
|
[
{
"content": "a 6 % stock yields 8 % . the market value of the stock is :",
"role": "user"
},
{
"content": "At a 6% yield, what is the market value of an 8% stock?",
"role": "assistant"
}
] |
At a 6% yield, what is the market value of an 8% stock?
|
a 6 % stock yields 8 % . the market value of the stock is :
|
john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 16 , what was the price before the first discount ?
|
[
{
"content": "john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 16 , what was the price before the first discount ?",
"role": "user"
},
{
"content": "If John purchased a shirt with a 25% discount on the original price and an additional 25% off the discounted price, resulting in a final price of $16, what was the original price before the first discount was applied?",
"role": "assistant"
}
] |
If John purchased a shirt with a 25% discount on the original price and an additional 25% off the discounted price, resulting in a final price of $16, what was the original price before the first discount was applied?
|
john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 16 , what was the price before the first discount ?
|
in an election between the two candidates , the candidates who gets 60 % of votes polled is winned by 280 votes majority . what is the total number of votes polled ?
|
[
{
"content": "in an election between the two candidates , the candidates who gets 60 % of votes polled is winned by 280 votes majority . what is the total number of votes polled ?",
"role": "user"
},
{
"content": "What is the total number of votes cast if a candidate who receives 60% of the votes wins by a 280-vote margin in a two-candidate election?",
"role": "assistant"
}
] |
What is the total number of votes cast if a candidate who receives 60% of the votes wins by a 280-vote margin in a two-candidate election?
|
in an election between the two candidates , the candidates who gets 60 % of votes polled is winned by 280 votes majority . what is the total number of votes polled ?
|
a work can be finished in 16 days by 5 women . the same work can be finished in 8 days by sixteen men . the ratio between the capacity of a man and a woman is
|
[
{
"content": "a work can be finished in 16 days by 5 women . the same work can be finished in 8 days by sixteen men . the ratio between the capacity of a man and a woman is",
"role": "user"
},
{
"content": "What is the ratio between the capacity of a man and a woman to finish the work?",
"role": "assistant"
}
] |
What is the ratio between the capacity of a man and a woman to finish the work?
|
a work can be finished in 16 days by 5 women . the same work can be finished in 8 days by sixteen men . the ratio between the capacity of a man and a woman is
|
the height of a cylinder is 60 cm and the diameter of its base is 5 cm . the total surface area of the cylinder is
|
[
{
"content": "the height of a cylinder is 60 cm and the diameter of its base is 5 cm . the total surface area of the cylinder is",
"role": "user"
},
{
"content": "The height of the cylinder is 60 cm and its base diameter is 5 cm. What is the total surface area of the cylinder?",
"role": "assistant"
}
] |
The height of the cylinder is 60 cm and its base diameter is 5 cm. What is the total surface area of the cylinder?
|
the height of a cylinder is 60 cm and the diameter of its base is 5 cm . the total surface area of the cylinder is
|
a tank is filled by 3 pipes a , b , c in 7 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?
|
[
{
"content": "a tank is filled by 3 pipes a , b , c in 7 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?",
"role": "user"
},
{
"content": "If pipe A, B, and C together fill a tank in 7 hours, and C is twice as fast as B, and B is twice as fast as A, how long would it take for pipe A to fill the tank by itself?",
"role": "assistant"
}
] |
If pipe A, B, and C together fill a tank in 7 hours, and C is twice as fast as B, and B is twice as fast as A, how long would it take for pipe A to fill the tank by itself?
|
a tank is filled by 3 pipes a , b , c in 7 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?
|
there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 27 , then find the smaller number ?
|
[
{
"content": "there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 27 , then find the smaller number ?",
"role": "user"
},
{
"content": "In a 5:8 ratio, there are two positive numbers. What is the smaller number if the larger number is 27 greater than the smaller one?",
"role": "assistant"
}
] |
In a 5:8 ratio, there are two positive numbers. What is the smaller number if the larger number is 27 greater than the smaller one?
|
there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 27 , then find the smaller number ?
|
a worker is paid a regular rate of rs . 20 for completing a survey . the worker completes 100 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 10 % higher than her regular rate . if she completed 70 surveys involving the use of her cellphone , how much did she get that week ?
|
[
{
"content": "a worker is paid a regular rate of rs . 20 for completing a survey . the worker completes 100 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 10 % higher than her regular rate . if she completed 70 surveys involving the use of her cellphone , how much did she get that week ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text, preserving the original structure and semantics:\n\nAn employee earns a standard rate of Rs. 20 per survey. They complete 100 surveys weekly. For surveys requiring a cellphone, they receive a 10% higher rate than their standard rate. If they completed 70 cellphone surveys, what was their total earnings for the week?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text, preserving the original structure and semantics:
An employee earns a standard rate of Rs. 20 per survey. They complete 100 surveys weekly. For surveys requiring a cellphone, they receive a 10% higher rate than their standard rate. If they completed 70 cellphone surveys, what was their total earnings for the week?
|
a worker is paid a regular rate of rs . 20 for completing a survey . the worker completes 100 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 10 % higher than her regular rate . if she completed 70 surveys involving the use of her cellphone , how much did she get that week ?
|
if x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year , the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $ 38 . if $ 2,000 is the total amount invested , how much is invested at 8 percent ?
|
[
{
"content": "if x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year , the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $ 38 . if $ 2,000 is the total amount invested , how much is invested at 8 percent ?",
"role": "user"
},
{
"content": "If $x is invested at a 10% interest rate and $y at an 8% interest rate for one year, the difference in their annual earnings is $38. Given that $2,000 is the total investment, what is the amount invested at 8%?",
"role": "assistant"
}
] |
If $x is invested at a 10% interest rate and $y at an 8% interest rate for one year, the difference in their annual earnings is $38. Given that $2,000 is the total investment, what is the amount invested at 8%?
|
if x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year , the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $ 38 . if $ 2,000 is the total amount invested , how much is invested at 8 percent ?
|
if taxi fares were $ 2.00 for the first 1 / 5 mile and $ 0.40 for each 1 / 5 mile there after , then the taxi fare for a 4 - mile ride was
|
[
{
"content": "if taxi fares were $ 2.00 for the first 1 / 5 mile and $ 0.40 for each 1 / 5 mile there after , then the taxi fare for a 4 - mile ride was",
"role": "user"
},
{
"content": "If the initial taxi fare is $2.00 for the first 1/5 mile and $0.40 for each additional 1/5 mile, what would be the total fare for a 4-mile ride?",
"role": "assistant"
}
] |
If the initial taxi fare is $2.00 for the first 1/5 mile and $0.40 for each additional 1/5 mile, what would be the total fare for a 4-mile ride?
|
if taxi fares were $ 2.00 for the first 1 / 5 mile and $ 0.40 for each 1 / 5 mile there after , then the taxi fare for a 4 - mile ride was
|
the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 42 kmph , find the speed of the stream ?
|
[
{
"content": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 42 kmph , find the speed of the stream ?",
"role": "user"
},
{
"content": "If the speed of the boat in still water is 42 kmph, what is the speed of the stream when it takes a man twice as long to row upstream as it does to row the same distance downstream?",
"role": "assistant"
}
] |
If the speed of the boat in still water is 42 kmph, what is the speed of the stream when it takes a man twice as long to row upstream as it does to row the same distance downstream?
|
the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 42 kmph , find the speed of the stream ?
|
by selling an article at rs . 300 , a profit of 25 % is made . find its cost price ?
|
[
{
"content": "by selling an article at rs . 300 , a profit of 25 % is made . find its cost price ?",
"role": "user"
},
{
"content": "What is the cost price of the article that yields a 25% profit when sold for Rs. 300?",
"role": "assistant"
}
] |
What is the cost price of the article that yields a 25% profit when sold for Rs. 300?
|
by selling an article at rs . 300 , a profit of 25 % is made . find its cost price ?
|
what will be the compound interest on rs . 25000 a Ε er 3 years at the rate of 12 % per annum
|
[
{
"content": "what will be the compound interest on rs . 25000 a Ε er 3 years at the rate of 12 % per annum",
"role": "user"
},
{
"content": "What is the compound interest on 25000 for 3 years at a 12% annual rate",
"role": "assistant"
}
] |
What is the compound interest on 25000 for 3 years at a 12% annual rate
|
what will be the compound interest on rs . 25000 a Ε er 3 years at the rate of 12 % per annum
|
a batsman scores 26 runs and increases his average from 14 to 15 . find the runs to be made if he wants top increasing the average to 19 in the same match ?
|
[
{
"content": "a batsman scores 26 runs and increases his average from 14 to 15 . find the runs to be made if he wants top increasing the average to 19 in the same match ?",
"role": "user"
},
{
"content": "To increase his average from 15 to 19 in the same match, what additional runs does the batsman need to score?",
"role": "assistant"
}
] |
To increase his average from 15 to 19 in the same match, what additional runs does the batsman need to score?
|
a batsman scores 26 runs and increases his average from 14 to 15 . find the runs to be made if he wants top increasing the average to 19 in the same match ?
|
a and b can do a piece of work in 30 days and 30 days respectively . they work together for 10 days and b leaves . in how many days the whole work is completed ?
|
[
{
"content": "a and b can do a piece of work in 30 days and 30 days respectively . they work together for 10 days and b leaves . in how many days the whole work is completed ?",
"role": "user"
},
{
"content": "How many more days will it take to finish the work after a and b work together for 10 days and b leaves?",
"role": "assistant"
}
] |
How many more days will it take to finish the work after a and b work together for 10 days and b leaves?
|
a and b can do a piece of work in 30 days and 30 days respectively . they work together for 10 days and b leaves . in how many days the whole work is completed ?
|
a total of 520 players participated in a single tennis knock out tournament . what is the total number of matches played in the tournament ? ( knockout means if a player loses , he is out of the tournament ) . no match ends in a tie .
|
[
{
"content": "a total of 520 players participated in a single tennis knock out tournament . what is the total number of matches played in the tournament ? ( knockout means if a player loses , he is out of the tournament ) . no match ends in a tie .",
"role": "user"
},
{
"content": "In a single tennis knockout tournament with 520 participants, how many matches took place in total, given that a player is eliminated after losing and no match results in a tie?",
"role": "assistant"
}
] |
In a single tennis knockout tournament with 520 participants, how many matches took place in total, given that a player is eliminated after losing and no match results in a tie?
|
a total of 520 players participated in a single tennis knock out tournament . what is the total number of matches played in the tournament ? ( knockout means if a player loses , he is out of the tournament ) . no match ends in a tie .
|
solving a linear equation with several occurrences of the variable , solve for w . simplify answer as much as possible . ( 7 w + 6 ) / 6 + ( 9 w + 8 ) / 2 = 22
|
[
{
"content": "solving a linear equation with several occurrences of the variable , solve for w . simplify answer as much as possible . ( 7 w + 6 ) / 6 + ( 9 w + 8 ) / 2 = 22",
"role": "user"
},
{
"content": "To solve the linear equation with multiple instances of the variable, isolate w. Simplify the answer as much as possible. (7w + 6) / 6 + (9w + 8) / 2 = 22",
"role": "assistant"
}
] |
To solve the linear equation with multiple instances of the variable, isolate w. Simplify the answer as much as possible. (7w + 6) / 6 + (9w + 8) / 2 = 22
|
solving a linear equation with several occurrences of the variable , solve for w . simplify answer as much as possible . ( 7 w + 6 ) / 6 + ( 9 w + 8 ) / 2 = 22
|
given f ( x ) = 3 x β 5 , for what value of x does 2 * [ f ( x ) ] β 7 = f ( 3 x β 6 )
|
[
{
"content": "given f ( x ) = 3 x β 5 , for what value of x does 2 * [ f ( x ) ] β 7 = f ( 3 x β 6 )",
"role": "user"
},
{
"content": "For the function f(x) = 3x - 5, what is the value of x that satisfies the equation 2[f(x)] - 7 = f(3x - 6)?",
"role": "assistant"
}
] |
For the function f(x) = 3x - 5, what is the value of x that satisfies the equation 2[f(x)] - 7 = f(3x - 6)?
|
given f ( x ) = 3 x β 5 , for what value of x does 2 * [ f ( x ) ] β 7 = f ( 3 x β 6 )
|
two good train each 750 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one .
|
[
{
"content": "two good train each 750 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one .",
"role": "user"
},
{
"content": "What is the time taken for the slower train to pass the driver of the faster train, with two 750m long trains running on parallel tracks in opposite directions at speeds of 45km/hr and 30km/hr respectively?",
"role": "assistant"
}
] |
What is the time taken for the slower train to pass the driver of the faster train, with two 750m long trains running on parallel tracks in opposite directions at speeds of 45km/hr and 30km/hr respectively?
|
two good train each 750 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one .
|
the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 4800 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 4800 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 4800 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 4800 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 4800 sq cm . what is the ratio of the width and the area of the rectangle ?
|
a work which could be finished in 7 days was finished 3 days earlier after 10 more men joined . the number of men employed was ?
|
[
{
"content": "a work which could be finished in 7 days was finished 3 days earlier after 10 more men joined . the number of men employed was ?",
"role": "user"
},
{
"content": "If a job that normally takes 7 days was completed 3 days early after adding 10 more workers, how many men were originally employed?",
"role": "assistant"
}
] |
If a job that normally takes 7 days was completed 3 days early after adding 10 more workers, how many men were originally employed?
|
a work which could be finished in 7 days was finished 3 days earlier after 10 more men joined . the number of men employed was ?
|
if ( 6 ) ( x ^ 2 ) has 3 different prime factors , at most how many different prime factors does x have ?
|
[
{
"content": "if ( 6 ) ( x ^ 2 ) has 3 different prime factors , at most how many different prime factors does x have ?",
"role": "user"
},
{
"content": "What is the maximum number of different prime factors that x can have if ( 6 ) ( x ^ 2 ) has 3 different prime factors ?",
"role": "assistant"
}
] |
What is the maximum number of different prime factors that x can have if ( 6 ) ( x ^ 2 ) has 3 different prime factors ?
|
if ( 6 ) ( x ^ 2 ) has 3 different prime factors , at most how many different prime factors does x have ?
|
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