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a square is drawn inside a right - angled triangle with the two perpendicular sides as 12 cm and 8 cm . what is the side of the largest possible square that can be drawn ?
|
[
{
"content": "a square is drawn inside a right - angled triangle with the two perpendicular sides as 12 cm and 8 cm . what is the side of the largest possible square that can be drawn ?",
"role": "user"
},
{
"content": "What is the length of the side of the largest square that can be inscribed in a right triangle with legs of 12 cm and 8 cm",
"role": "assistant"
}
] |
What is the length of the side of the largest square that can be inscribed in a right triangle with legs of 12 cm and 8 cm
|
a square is drawn inside a right - angled triangle with the two perpendicular sides as 12 cm and 8 cm . what is the side of the largest possible square that can be drawn ?
|
the membership of a committee consists of 3 english teachers , 4 mathematics teachers , and 2 social studies teachers . if 2 committee members are to be selected at random to write the committee ’ s report , what is the probability that the two members selected will both be social teachers ?
|
[
{
"content": "the membership of a committee consists of 3 english teachers , 4 mathematics teachers , and 2 social studies teachers . if 2 committee members are to be selected at random to write the committee ’ s report , what is the probability that the two members selected will both be social teachers ?",
"role": "user"
},
{
"content": "What is the probability that both randomly chosen committee members to write the report will be social studies teachers given the committee consists of 3 English teachers, 4 math teachers, and 2 social studies teachers?",
"role": "assistant"
}
] |
What is the probability that both randomly chosen committee members to write the report will be social studies teachers given the committee consists of 3 English teachers, 4 math teachers, and 2 social studies teachers?
|
the membership of a committee consists of 3 english teachers , 4 mathematics teachers , and 2 social studies teachers . if 2 committee members are to be selected at random to write the committee ’ s report , what is the probability that the two members selected will both be social teachers ?
|
in a 160 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :
|
[
{
"content": "in a 160 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :",
"role": "user"
},
{
"content": "In a 160 meter race, if A beats B by 56 meters or 7 seconds, A's time for the course is:",
"role": "assistant"
}
] |
In a 160 meter race, if A beats B by 56 meters or 7 seconds, A's time for the course is:
|
in a 160 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :
|
. 002 / ? = . 01
|
[
{
"content": ". 002 / ? = . 01",
"role": "user"
},
{
"content": "What number is .002 divided by to get .01?",
"role": "assistant"
}
] |
What number is .002 divided by to get .01?
|
. 002 / ? = . 01
|
a cistern is filled by a tap in 7 1 / 2 hours . due to leak in the bottom of the cistern , it takes half an hour longer to fill the cistern . if the cistern is full how many hours will it take the leak to empty it ?
|
[
{
"content": "a cistern is filled by a tap in 7 1 / 2 hours . due to leak in the bottom of the cistern , it takes half an hour longer to fill the cistern . if the cistern is full how many hours will it take the leak to empty it ?",
"role": "user"
},
{
"content": "How long will it take for the leak to drain the cistern if it's already full?",
"role": "assistant"
}
] |
How long will it take for the leak to drain the cistern if it's already full?
|
a cistern is filled by a tap in 7 1 / 2 hours . due to leak in the bottom of the cistern , it takes half an hour longer to fill the cistern . if the cistern is full how many hours will it take the leak to empty it ?
|
by how much is 70 % of 120 greater than 35 % of 200 .
|
[
{
"content": "by how much is 70 % of 120 greater than 35 % of 200 .",
"role": "user"
},
{
"content": "What is the difference between 70% of 120 and 35% of 200.",
"role": "assistant"
}
] |
What is the difference between 70% of 120 and 35% of 200.
|
by how much is 70 % of 120 greater than 35 % of 200 .
|
if 2 ^ k + 2 ^ k = ( 2 ^ 9 ) ^ ( 2 ^ 9 ) - 2 ^ k , then k = ?
|
[
{
"content": "if 2 ^ k + 2 ^ k = ( 2 ^ 9 ) ^ ( 2 ^ 9 ) - 2 ^ k , then k = ?",
"role": "user"
},
{
"content": "Given the equation 2^k + 2^k = (2^9)^(2^9) - 2^k, what is the value of k?",
"role": "assistant"
}
] |
Given the equation 2^k + 2^k = (2^9)^(2^9) - 2^k, what is the value of k?
|
if 2 ^ k + 2 ^ k = ( 2 ^ 9 ) ^ ( 2 ^ 9 ) - 2 ^ k , then k = ?
|
in 10 years , a will be twice as old 5 as b was 10 years ago . if a is now 5 years older than b , the present age of b is
|
[
{
"content": "in 10 years , a will be twice as old 5 as b was 10 years ago . if a is now 5 years older than b , the present age of b is",
"role": "user"
},
{
"content": "In 10 years, A's age will be double B's age 10 years ago. If A is currently 5 years older than B, what is B's current age?",
"role": "assistant"
}
] |
In 10 years, A's age will be double B's age 10 years ago. If A is currently 5 years older than B, what is B's current age?
|
in 10 years , a will be twice as old 5 as b was 10 years ago . if a is now 5 years older than b , the present age of b is
|
if 2 + 7 = 57 ; 3 + 6 = 63 ; 5 + 9 = 206 then 5 + 8 = ?
|
[
{
"content": "if 2 + 7 = 57 ; 3 + 6 = 63 ; 5 + 9 = 206 then 5 + 8 = ?",
"role": "user"
},
{
"content": "What would be the result of 5 + 8 if 2 + 7 = 57, 3 + 6 = 63, and 5 + 9 = 206?",
"role": "assistant"
}
] |
What would be the result of 5 + 8 if 2 + 7 = 57, 3 + 6 = 63, and 5 + 9 = 206?
|
if 2 + 7 = 57 ; 3 + 6 = 63 ; 5 + 9 = 206 then 5 + 8 = ?
|
if a man lost 7 % by selling oranges at the rate of 21 a rupee at how many a rupee must he sell them to gain 42 % ?
|
[
{
"content": "if a man lost 7 % by selling oranges at the rate of 21 a rupee at how many a rupee must he sell them to gain 42 % ?",
"role": "user"
},
{
"content": "At what rate per rupee must a man sell oranges to gain 42% if selling at 21 a rupee results in a 7% loss?",
"role": "assistant"
}
] |
At what rate per rupee must a man sell oranges to gain 42% if selling at 21 a rupee results in a 7% loss?
|
if a man lost 7 % by selling oranges at the rate of 21 a rupee at how many a rupee must he sell them to gain 42 % ?
|
what is the greatest prime factor of 5 ^ 6 - 1 ?
|
[
{
"content": "what is the greatest prime factor of 5 ^ 6 - 1 ?",
"role": "user"
},
{
"content": "What is the largest prime factor of 5 to the power of 6 minus 1 ?",
"role": "assistant"
}
] |
What is the largest prime factor of 5 to the power of 6 minus 1 ?
|
what is the greatest prime factor of 5 ^ 6 - 1 ?
|
a cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.4 m and its walls are 5 cm thick . the thickness of the bottom is :
|
[
{
"content": "a cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.4 m and its walls are 5 cm thick . the thickness of the bottom is :",
"role": "user"
},
{
"content": "What is the thickness of the bottom of a cistern with an 8000-liter capacity, measuring 3.3 m by 2.6 m by 1.4 m externally with 5 cm thick walls?",
"role": "assistant"
}
] |
What is the thickness of the bottom of a cistern with an 8000-liter capacity, measuring 3.3 m by 2.6 m by 1.4 m externally with 5 cm thick walls?
|
a cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.4 m and its walls are 5 cm thick . the thickness of the bottom is :
|
a and b can do a piece of work in 10 days . with the help of c they finish the work in 3 days . c alone can do that piece of work in ?
|
[
{
"content": "a and b can do a piece of work in 10 days . with the help of c they finish the work in 3 days . c alone can do that piece of work in ?",
"role": "user"
},
{
"content": "How many days would c take to complete the work alone?",
"role": "assistant"
}
] |
How many days would c take to complete the work alone?
|
a and b can do a piece of work in 10 days . with the help of c they finish the work in 3 days . c alone can do that piece of work in ?
|
a boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 15 minutes . how long will it take to go 5 km in stationary water ?
|
[
{
"content": "a boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 15 minutes . how long will it take to go 5 km in stationary water ?",
"role": "user"
},
{
"content": "A boatman travels 2 km against the current in 1 hour and 1 km with the current in 15 minutes. How long will it take to cover 5 km in still water?",
"role": "assistant"
}
] |
A boatman travels 2 km against the current in 1 hour and 1 km with the current in 15 minutes. How long will it take to cover 5 km in still water?
|
a boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 15 minutes . how long will it take to go 5 km in stationary water ?
|
a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 16 days . in how many days b alone can do the work ?
|
[
{
"content": "a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 16 days . in how many days b alone can do the work ?",
"role": "user"
},
{
"content": "How many days would B alone take to complete the work,",
"role": "assistant"
}
] |
How many days would B alone take to complete the work,
|
a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 16 days . in how many days b alone can do the work ?
|
a and b complete a work in 10 days . a alone can do it in 40 days . if both together can do the work in how many days ?
|
[
{
"content": "a and b complete a work in 10 days . a alone can do it in 40 days . if both together can do the work in how many days ?",
"role": "user"
},
{
"content": "In how many days can a and b together complete the work ?",
"role": "assistant"
}
] |
In how many days can a and b together complete the work ?
|
a and b complete a work in 10 days . a alone can do it in 40 days . if both together can do the work in how many days ?
|
a train is 360 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length .
|
[
{
"content": "a train is 360 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length .",
"role": "user"
},
{
"content": "How long will it take for a 360-meter train to pass a 140-meter bridge while traveling at 45 km/h.",
"role": "assistant"
}
] |
How long will it take for a 360-meter train to pass a 140-meter bridge while traveling at 45 km/h.
|
a train is 360 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length .
|
if a 2 - b 2 = 9 and a * b = 4 , find a 4 + b 4 .
|
[
{
"content": "if a 2 - b 2 = 9 and a * b = 4 , find a 4 + b 4 .",
"role": "user"
},
{
"content": "Given a^2 - b^2 = 9 and ab = 4, what is the value of a^4 + b^4?",
"role": "assistant"
}
] |
Given a^2 - b^2 = 9 and ab = 4, what is the value of a^4 + b^4?
|
if a 2 - b 2 = 9 and a * b = 4 , find a 4 + b 4 .
|
a work as fast as b . if b can complete a work in 20 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 20 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 in 20 days on their own, how many days will it take for a and b to finish the work together if a works as fast as b?",
"role": "assistant"
}
] |
If b can complete the work in 20 days on their own, how many days will it take for a and b to finish the work together if a works as fast as b?
|
a work as fast as b . if b can complete a work in 20 days independently , the number of days in which a and b can together finish the work in ?
|
there are 9 fictions and 6 non - fictions . how many cases are there such that 2 fictions and 2 non - fictions are selected from them ?
|
[
{
"content": "there are 9 fictions and 6 non - fictions . how many cases are there such that 2 fictions and 2 non - fictions are selected from them ?",
"role": "user"
},
{
"content": "What is the number of cases in which 2 fictions and 2 non-fictions are chosen from 9 fictions and 6 non-fictions?",
"role": "assistant"
}
] |
What is the number of cases in which 2 fictions and 2 non-fictions are chosen from 9 fictions and 6 non-fictions?
|
there are 9 fictions and 6 non - fictions . how many cases are there such that 2 fictions and 2 non - fictions are selected from them ?
|
a train 120 m long is running with a speed of 62 kmph . in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going
|
[
{
"content": "a train 120 m long is running with a speed of 62 kmph . in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going",
"role": "user"
},
{
"content": "A 120m long train is traveling at 62 km/h; how long will it take to pass a man running at 8 km/h in the same direction?",
"role": "assistant"
}
] |
A 120m long train is traveling at 62 km/h; how long will it take to pass a man running at 8 km/h in the same direction?
|
a train 120 m long is running with a speed of 62 kmph . in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going
|
a chemist mixes one liter of pure water with x liters of a 50 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ?
|
[
{
"content": "a chemist mixes one liter of pure water with x liters of a 50 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ?",
"role": "user"
},
{
"content": "What value of x results in a 15% salt solution when 1 liter of pure water is mixed with x liters of a 50% salt solution?",
"role": "assistant"
}
] |
What value of x results in a 15% salt solution when 1 liter of pure water is mixed with x liters of a 50% salt solution?
|
a chemist mixes one liter of pure water with x liters of a 50 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ?
|
the cyclist going at a constant rate of 18 miles per hour is passed by a motor - cyclist traveling in the same direction along the same path at 48 miles per hour . the motor - cyclist stops to wait for the cyclist 15 minutes after passing cyclist , while the cyclist continues to travel at constant rate , how many minutes must the motor - cyclist wait until the cyclist catches up ?
|
[
{
"content": "the cyclist going at a constant rate of 18 miles per hour is passed by a motor - cyclist traveling in the same direction along the same path at 48 miles per hour . the motor - cyclist stops to wait for the cyclist 15 minutes after passing cyclist , while the cyclist continues to travel at constant rate , how many minutes must the motor - cyclist wait until the cyclist catches up ?",
"role": "user"
},
{
"content": "A motorcyclist traveling at 48 mph overtakes a cyclist traveling at 18 mph, then waits 15 minutes for the cyclist, who continues at a constant speed. How many minutes will the motorcyclist need to wait for the cyclist to catch up?",
"role": "assistant"
}
] |
A motorcyclist traveling at 48 mph overtakes a cyclist traveling at 18 mph, then waits 15 minutes for the cyclist, who continues at a constant speed. How many minutes will the motorcyclist need to wait for the cyclist to catch up?
|
the cyclist going at a constant rate of 18 miles per hour is passed by a motor - cyclist traveling in the same direction along the same path at 48 miles per hour . the motor - cyclist stops to wait for the cyclist 15 minutes after passing cyclist , while the cyclist continues to travel at constant rate , how many minutes must the motor - cyclist wait until the cyclist catches up ?
|
a number is doubled and 9 is added . if the resultant is trebled , it becomes 81 . what is that number ?
|
[
{
"content": "a number is doubled and 9 is added . if the resultant is trebled , it becomes 81 . what is that number ?",
"role": "user"
},
{
"content": "What number, when doubled and added to 9, becomes 81 when tripled?",
"role": "assistant"
}
] |
What number, when doubled and added to 9, becomes 81 when tripled?
|
a number is doubled and 9 is added . if the resultant is trebled , it becomes 81 . what is that number ?
|
what is difference between biggest and smallest fraction among 1 / 3 , 3 / 4 , 4 / 5 and 5 / 6
|
[
{
"content": "what is difference between biggest and smallest fraction among 1 / 3 , 3 / 4 , 4 / 5 and 5 / 6",
"role": "user"
},
{
"content": "What is the difference between the largest and smallest fraction among 1/3, 3/4, 4/5, and 5/6?",
"role": "assistant"
}
] |
What is the difference between the largest and smallest fraction among 1/3, 3/4, 4/5, and 5/6?
|
what is difference between biggest and smallest fraction among 1 / 3 , 3 / 4 , 4 / 5 and 5 / 6
|
in a renowned city , the average birth rate is 9 people every two seconds and the death rate is 3 people every two seconds . estimate the size of the population net increase that occurs in one day .
|
[
{
"content": "in a renowned city , the average birth rate is 9 people every two seconds and the death rate is 3 people every two seconds . estimate the size of the population net increase that occurs in one day .",
"role": "user"
},
{
"content": "In a famous city, what is the daily net population increase if 9 people are born and 3 people die every 2 seconds?",
"role": "assistant"
}
] |
In a famous city, what is the daily net population increase if 9 people are born and 3 people die every 2 seconds?
|
in a renowned city , the average birth rate is 9 people every two seconds and the death rate is 3 people every two seconds . estimate the size of the population net increase that occurs in one day .
|
894.7 – 573.07 – 95.007 = ?
|
[
{
"content": "894.7 – 573.07 – 95.007 = ?",
"role": "user"
},
{
"content": "What is 894.7 minus 573.07 minus 95.007?",
"role": "assistant"
}
] |
What is 894.7 minus 573.07 minus 95.007?
|
894.7 – 573.07 – 95.007 = ?
|
three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 1800 . their h . c . f is ?
|
[
{
"content": "three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 1800 . their h . c . f is ?",
"role": "user"
},
{
"content": "What is the highest common factor of three numbers in the ratio 3 : 4 : 5 with an LCM of 1800 ?",
"role": "assistant"
}
] |
What is the highest common factor of three numbers in the ratio 3 : 4 : 5 with an LCM of 1800 ?
|
three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 1800 . their h . c . f is ?
|
john traveled 80 % of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour . the rest of the way john traveled by car at an average speed of v miles per hour . if the average speed for the entire trip was 65 miles per hour , what is v in miles per hour ?
|
[
{
"content": "john traveled 80 % of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour . the rest of the way john traveled by car at an average speed of v miles per hour . if the average speed for the entire trip was 65 miles per hour , what is v in miles per hour ?",
"role": "user"
},
{
"content": "What is the value of v in miles per hour if John's average speed for the entire trip from Yellow-town to Green-fields was 65 miles per hour, having traveled 80% of the distance by train at 80 miles per hour and the rest by car at v miles per hour?",
"role": "assistant"
}
] |
What is the value of v in miles per hour if John's average speed for the entire trip from Yellow-town to Green-fields was 65 miles per hour, having traveled 80% of the distance by train at 80 miles per hour and the rest by car at v miles per hour?
|
john traveled 80 % of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour . the rest of the way john traveled by car at an average speed of v miles per hour . if the average speed for the entire trip was 65 miles per hour , what is v in miles per hour ?
|
a man walking at a rate of 15 km / hr crosses a bridge in 35 minutes . the length of the bridge is ?
|
[
{
"content": "a man walking at a rate of 15 km / hr crosses a bridge in 35 minutes . the length of the bridge is ?",
"role": "user"
},
{
"content": "A man walks at 15 km/hr and crosses a bridge in 35 minutes, what's the length of the bridge?",
"role": "assistant"
}
] |
A man walks at 15 km/hr and crosses a bridge in 35 minutes, what's the length of the bridge?
|
a man walking at a rate of 15 km / hr crosses a bridge in 35 minutes . the length of the bridge is ?
|
the squared value of the diagonal of a rectangle is ( 64 + b 2 ) sq cm , where b is less than 8 cm . what is the breadth of that rectangle ?
|
[
{
"content": "the squared value of the diagonal of a rectangle is ( 64 + b 2 ) sq cm , where b is less than 8 cm . what is the breadth of that rectangle ?",
"role": "user"
},
{
"content": "What is the breadth of the rectangle if the square of its diagonal is (64 + b^2) sq cm, where b is less than 8 cm?",
"role": "assistant"
}
] |
What is the breadth of the rectangle if the square of its diagonal is (64 + b^2) sq cm, where b is less than 8 cm?
|
the squared value of the diagonal of a rectangle is ( 64 + b 2 ) sq cm , where b is less than 8 cm . what is the breadth of that rectangle ?
|
the cost price of 60 articles is the same as the selling price of x articles . if the profit is 20 % , what is x ?
|
[
{
"content": "the cost price of 60 articles is the same as the selling price of x articles . if the profit is 20 % , what is x ?",
"role": "user"
},
{
"content": "If the profit is 20%, what number of articles were sold at the same price as the cost of 60 articles?",
"role": "assistant"
}
] |
If the profit is 20%, what number of articles were sold at the same price as the cost of 60 articles?
|
the cost price of 60 articles is the same as the selling price of x articles . if the profit is 20 % , what is x ?
|
in township k each property is taxed at 10 percent of its assessed value . if the assessed value of a property in township k is increased from $ 20,000 to $ 24,000 , by how much will the property tax increase ?
|
[
{
"content": "in township k each property is taxed at 10 percent of its assessed value . if the assessed value of a property in township k is increased from $ 20,000 to $ 24,000 , by how much will the property tax increase ?",
"role": "user"
},
{
"content": "What will be the increase in property tax in Township K if the assessed value of a property rises from $20,000 to $24,000?",
"role": "assistant"
}
] |
What will be the increase in property tax in Township K if the assessed value of a property rises from $20,000 to $24,000?
|
in township k each property is taxed at 10 percent of its assessed value . if the assessed value of a property in township k is increased from $ 20,000 to $ 24,000 , by how much will the property tax increase ?
|
on a certain transatlantic crossing , 40 percent of a ship ’ s passengers held round - trip tickets and also took their cars abroad the ship . if 20 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ’ s passengers held round - trip tickets ?
|
[
{
"content": "on a certain transatlantic crossing , 40 percent of a ship ’ s passengers held round - trip tickets and also took their cars abroad the ship . if 20 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ’ s passengers held round - trip tickets ?",
"role": "user"
},
{
"content": "On a particular transatlantic voyage, 40% of the ship's passengers had round-trip tickets and brought their cars on board. If 20% of those with round-trip tickets didn't bring their cars, what percentage of the ship's passengers had round-trip tickets?",
"role": "assistant"
}
] |
On a particular transatlantic voyage, 40% of the ship's passengers had round-trip tickets and brought their cars on board. If 20% of those with round-trip tickets didn't bring their cars, what percentage of the ship's passengers had round-trip tickets?
|
on a certain transatlantic crossing , 40 percent of a ship ’ s passengers held round - trip tickets and also took their cars abroad the ship . if 20 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ’ s passengers held round - trip tickets ?
|
at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 1 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 3 ?
|
[
{
"content": "at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 1 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 3 ?",
"role": "user"
},
{
"content": "How many more dollars per hour does a salary grade 5 employee receive compared to a salary grade 3 employee?",
"role": "assistant"
}
] |
How many more dollars per hour does a salary grade 5 employee receive compared to a salary grade 3 employee?
|
at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 1 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 3 ?
|
in a certain game , a large container is filled with red , yellow , green , and blue beads worth , respectively , 7 , 5 , 3 , and 2 points each . a number of beads are then removed from the container . if the product of the point values of the removed beads is 30 , 870000 , how many red beads were removed ?
|
[
{
"content": "in a certain game , a large container is filled with red , yellow , green , and blue beads worth , respectively , 7 , 5 , 3 , and 2 points each . a number of beads are then removed from the container . if the product of the point values of the removed beads is 30 , 870000 , how many red beads were removed ?",
"role": "user"
},
{
"content": "In a certain game, beads worth 7, 5, 3, and 2 points are in a container. After some are removed, their point product is 30,870,000. How many red beads were removed?",
"role": "assistant"
}
] |
In a certain game, beads worth 7, 5, 3, and 2 points are in a container. After some are removed, their point product is 30,870,000. How many red beads were removed?
|
in a certain game , a large container is filled with red , yellow , green , and blue beads worth , respectively , 7 , 5 , 3 , and 2 points each . a number of beads are then removed from the container . if the product of the point values of the removed beads is 30 , 870000 , how many red beads were removed ?
|
# 88 a necklace is made by stringing q no individual beads together in the repeating pattern red bead , green bead , white bead , blue bead , and yellow bead . if the necklace design begins with a red bead and ends with a white bead , then q could equal
|
[
{
"content": "# 88 a necklace is made by stringing q no individual beads together in the repeating pattern red bead , green bead , white bead , blue bead , and yellow bead . if the necklace design begins with a red bead and ends with a white bead , then q could equal",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text:\n\n# 88 A necklace consists of q individual beads strung together in a repeating sequence of red, green, white, blue, and yellow beads. If the design starts with a red bead and ends with a white bead, what could be the value of q?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text:
# 88 A necklace consists of q individual beads strung together in a repeating sequence of red, green, white, blue, and yellow beads. If the design starts with a red bead and ends with a white bead, what could be the value of q?
|
# 88 a necklace is made by stringing q no individual beads together in the repeating pattern red bead , green bead , white bead , blue bead , and yellow bead . if the necklace design begins with a red bead and ends with a white bead , then q could equal
|
a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 16 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?
|
[
{
"content": "a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 16 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?",
"role": "user"
},
{
"content": "To maintain a 20% profit margin, the distributor needs to sell the item for $19.20 (20% more than the cost of $16). To cover the online store's 20% commission, the distributor should set the online price at $24 (20% more than $19.20). Therefore, the buyer will see an online price of $24.",
"role": "assistant"
}
] |
To maintain a 20% profit margin, the distributor needs to sell the item for $19.20 (20% more than the cost of $16). To cover the online store's 20% commission, the distributor should set the online price at $24 (20% more than $19.20). Therefore, the buyer will see an online price of $24.
|
a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 16 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?
|
rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 3000 . then his monthly salary is
|
[
{
"content": "rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 3000 . then his monthly salary is",
"role": "user"
},
{
"content": "Rohan allocates 40% of his income for food, 20% for rent, 10% for entertainment, and 10% for transportation. If his monthly savings are Rs. 3000, what is his monthly salary?",
"role": "assistant"
}
] |
Rohan allocates 40% of his income for food, 20% for rent, 10% for entertainment, and 10% for transportation. If his monthly savings are Rs. 3000, what is his monthly salary?
|
rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 3000 . then his monthly salary is
|
the price of an item is discounted 6 percent on day 1 of a sale . on day 2 , the item is discounted another 6 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?
|
[
{
"content": "the price of an item is discounted 6 percent on day 1 of a sale . on day 2 , the item is discounted another 6 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?",
"role": "user"
},
{
"content": "What is the price of the item on day 3 as a percentage of the sale price on day 1 ?",
"role": "assistant"
}
] |
What is the price of the item on day 3 as a percentage of the sale price on day 1 ?
|
the price of an item is discounted 6 percent on day 1 of a sale . on day 2 , the item is discounted another 6 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?
|
last year a certain bond price with a face value of 5000 yielded 9 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?
|
[
{
"content": "last year a certain bond price with a face value of 5000 yielded 9 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?",
"role": "user"
},
{
"content": "What was the approximate selling price of the bond that yielded 9% of its face value in interest, which was around 6.5% of the selling price, given that the face value was $5000?",
"role": "assistant"
}
] |
What was the approximate selling price of the bond that yielded 9% of its face value in interest, which was around 6.5% of the selling price, given that the face value was $5000?
|
last year a certain bond price with a face value of 5000 yielded 9 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?
|
a train of 40 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 1.5 km long ?
|
[
{
"content": "a train of 40 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 1.5 km long ?",
"role": "user"
},
{
"content": "How long will it take for a 40-carriage train, with each carriage and the engine being 60 meters long, to cross a 1.5 km bridge while traveling at 60 kmph?",
"role": "assistant"
}
] |
How long will it take for a 40-carriage train, with each carriage and the engine being 60 meters long, to cross a 1.5 km bridge while traveling at 60 kmph?
|
a train of 40 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 1.5 km long ?
|
when a mobile is sold for rs . 7200 , the owner loses 20 % . at what price must that mobile be sold in order to gain 20 % ?
|
[
{
"content": "when a mobile is sold for rs . 7200 , the owner loses 20 % . at what price must that mobile be sold in order to gain 20 % ?",
"role": "user"
},
{
"content": "At what price should the mobile be sold to make a 20% gain, given that it was sold at a 20% loss for Rs. 7200?",
"role": "assistant"
}
] |
At what price should the mobile be sold to make a 20% gain, given that it was sold at a 20% loss for Rs. 7200?
|
when a mobile is sold for rs . 7200 , the owner loses 20 % . at what price must that mobile be sold in order to gain 20 % ?
|
( 0.15 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.15 ) ( power 2 ) + 0.015 + ( 0.1 ) ( power 2 ) is :
|
[
{
"content": "( 0.15 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.15 ) ( power 2 ) + 0.015 + ( 0.1 ) ( power 2 ) is :",
"role": "user"
},
{
"content": "( 0.15 ) ^ 3 - ( 0.1 ) ^ 3 / ( 0.15 ) ^ 2 + 0.015 + ( 0.1 ) ^ 2 is :",
"role": "assistant"
}
] |
( 0.15 ) ^ 3 - ( 0.1 ) ^ 3 / ( 0.15 ) ^ 2 + 0.015 + ( 0.1 ) ^ 2 is :
|
( 0.15 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.15 ) ( power 2 ) + 0.015 + ( 0.1 ) ( power 2 ) is :
|
a retailer sells 7 shirts . the first 2 he sells for $ 38 and $ 42 . if the retailer wishes to sell the 7 shirts for an overall average price of over $ 50 , what must be the minimum average price of the remaining 5 shirts ?
|
[
{
"content": "a retailer sells 7 shirts . the first 2 he sells for $ 38 and $ 42 . if the retailer wishes to sell the 7 shirts for an overall average price of over $ 50 , what must be the minimum average price of the remaining 5 shirts ?",
"role": "user"
},
{
"content": "What is the minimum average price the retailer must charge for the remaining 5 shirts to achieve an overall average price of over $50, given that the first two shirts were sold for $38 and $42?",
"role": "assistant"
}
] |
What is the minimum average price the retailer must charge for the remaining 5 shirts to achieve an overall average price of over $50, given that the first two shirts were sold for $38 and $42?
|
a retailer sells 7 shirts . the first 2 he sells for $ 38 and $ 42 . if the retailer wishes to sell the 7 shirts for an overall average price of over $ 50 , what must be the minimum average price of the remaining 5 shirts ?
|
a person crosses a 500 m long street in 4 minutes . what is his speed in km per hour ?
|
[
{
"content": "a person crosses a 500 m long street in 4 minutes . what is his speed in km per hour ?",
"role": "user"
},
{
"content": "What is the person's speed in km/h if they cross a 500m street in 4 minutes?",
"role": "assistant"
}
] |
What is the person's speed in km/h if they cross a 500m street in 4 minutes?
|
a person crosses a 500 m long street in 4 minutes . what is his speed in km per hour ?
|
if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 160 , how much more remains to be paid ?
|
[
{
"content": "if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 160 , how much more remains to be paid ?",
"role": "user"
},
{
"content": "What is the remaining amount to be paid if a $160 deposit is 10% of the product's purchase price?",
"role": "assistant"
}
] |
What is the remaining amount to be paid if a $160 deposit is 10% of the product's purchase price?
|
if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 160 , how much more remains to be paid ?
|
if the perimeter of a rectangular garden is 600 m , its length when its breadth is 100 m is ?
|
[
{
"content": "if the perimeter of a rectangular garden is 600 m , its length when its breadth is 100 m is ?",
"role": "user"
},
{
"content": "What is the length of the rectangular garden if its breadth is 100m and its perimeter is 600m?",
"role": "assistant"
}
] |
What is the length of the rectangular garden if its breadth is 100m and its perimeter is 600m?
|
if the perimeter of a rectangular garden is 600 m , its length when its breadth is 100 m is ?
|
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 50 % while buying and by 10 % while selling . what is his percentage profit ?
|
[
{
"content": "a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 50 % while buying and by 10 % while selling . what is his percentage profit ?",
"role": "user"
},
{
"content": "What is the shop owner's percentage profit when he uses false weights to cheat by 50% when buying and 10% when selling, while claiming to sell at cost price?",
"role": "assistant"
}
] |
What is the shop owner's percentage profit when he uses false weights to cheat by 50% when buying and 10% when selling, while claiming to sell at cost price?
|
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 50 % while buying and by 10 % while selling . what is his percentage profit ?
|
you need to pick any number from ' 1 , 3 , 5 , 7 , 9 , 11 , 13 and 15 ' to make below equation true . ( ) + ( ) + ( ) = 30 can you solve it ?
|
[
{
"content": "you need to pick any number from ' 1 , 3 , 5 , 7 , 9 , 11 , 13 and 15 ' to make below equation true . ( ) + ( ) + ( ) = 30 can you solve it ?",
"role": "user"
},
{
"content": "Choose a number from 1, 3, 5, 7, 9, 11, 13, or 15 to make the equation ( ) + ( ) + ( ) = 30 true, can you figure it out ?",
"role": "assistant"
}
] |
Choose a number from 1, 3, 5, 7, 9, 11, 13, or 15 to make the equation ( ) + ( ) + ( ) = 30 true, can you figure it out ?
|
you need to pick any number from ' 1 , 3 , 5 , 7 , 9 , 11 , 13 and 15 ' to make below equation true . ( ) + ( ) + ( ) = 30 can you solve it ?
|
ram and shyam start a two - length swimming race at the same moment but from opposite ends of the pool . they swim in lanes at uniform speeds , but hardy is faster than andy . they 1 st pass at a point 18.5 m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45 sec . after setting off on the return length , the swimmers pass for the 2 nd time just 10.5 m from the shallow end . how long is the pool ?
|
[
{
"content": "ram and shyam start a two - length swimming race at the same moment but from opposite ends of the pool . they swim in lanes at uniform speeds , but hardy is faster than andy . they 1 st pass at a point 18.5 m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45 sec . after setting off on the return length , the swimmers pass for the 2 nd time just 10.5 m from the shallow end . how long is the pool ?",
"role": "user"
},
{
"content": "How long is the pool when Ram and Shyam, swimming at uniform speeds, pass each other at 18.5m from the deep end after one length, rest for 45 seconds, and then pass again at 10.5m from the shallow end on the return length?",
"role": "assistant"
}
] |
How long is the pool when Ram and Shyam, swimming at uniform speeds, pass each other at 18.5m from the deep end after one length, rest for 45 seconds, and then pass again at 10.5m from the shallow end on the return length?
|
ram and shyam start a two - length swimming race at the same moment but from opposite ends of the pool . they swim in lanes at uniform speeds , but hardy is faster than andy . they 1 st pass at a point 18.5 m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45 sec . after setting off on the return length , the swimmers pass for the 2 nd time just 10.5 m from the shallow end . how long is the pool ?
|
jolene entered an 18 - month investment contract that guarantees to pay 2 percent interest at the end of 4 months , another 3 percent interest at the end of 12 months , and 4 percent interest at the end of the 18 month contract . if each interest payment is reinvested in the contract , and jolene invested $ 10,000 initially , what will be the total amount of interest paid during the 18 - month contract ?
|
[
{
"content": "jolene entered an 18 - month investment contract that guarantees to pay 2 percent interest at the end of 4 months , another 3 percent interest at the end of 12 months , and 4 percent interest at the end of the 18 month contract . if each interest payment is reinvested in the contract , and jolene invested $ 10,000 initially , what will be the total amount of interest paid during the 18 - month contract ?",
"role": "user"
},
{
"content": "If Jolene invests $10,000 in an 18-month contract with 2% interest after 4 months, 3% after 12 months, and 4% at the end, with each interest payment reinvested, what is the total interest paid over 18 months?",
"role": "assistant"
}
] |
If Jolene invests $10,000 in an 18-month contract with 2% interest after 4 months, 3% after 12 months, and 4% at the end, with each interest payment reinvested, what is the total interest paid over 18 months?
|
jolene entered an 18 - month investment contract that guarantees to pay 2 percent interest at the end of 4 months , another 3 percent interest at the end of 12 months , and 4 percent interest at the end of the 18 month contract . if each interest payment is reinvested in the contract , and jolene invested $ 10,000 initially , what will be the total amount of interest paid during the 18 - month contract ?
|
what least number must besubtracted from 427398 so that remaining no . is divisible by 15 ?
|
[
{
"content": "what least number must besubtracted from 427398 so that remaining no . is divisible by 15 ?",
"role": "user"
},
{
"content": "To make 427398 divisible by 15, what is the smallest number that needs to be subtracted from it?",
"role": "assistant"
}
] |
To make 427398 divisible by 15, what is the smallest number that needs to be subtracted from it?
|
what least number must besubtracted from 427398 so that remaining no . is divisible by 15 ?
|
one copy machine can make 30 copies a minute , and a second copy machine makes 20 copies a minute . if the two copiers work together , how long would it take them to make 2,000 copies ?
|
[
{
"content": "one copy machine can make 30 copies a minute , and a second copy machine makes 20 copies a minute . if the two copiers work together , how long would it take them to make 2,000 copies ?",
"role": "user"
},
{
"content": "If the two machines work together, how long would it take to make 2,000 copies, given that one can make 30 copies per minute and the other 20 copies per minute?",
"role": "assistant"
}
] |
If the two machines work together, how long would it take to make 2,000 copies, given that one can make 30 copies per minute and the other 20 copies per minute?
|
one copy machine can make 30 copies a minute , and a second copy machine makes 20 copies a minute . if the two copiers work together , how long would it take them to make 2,000 copies ?
|
little john had $ 8.50 . he spent $ 1.25 on sweets and gave to his two friends $ 1.20 and $ 2.20 . how much money was left ?
|
[
{
"content": "little john had $ 8.50 . he spent $ 1.25 on sweets and gave to his two friends $ 1.20 and $ 2.20 . how much money was left ?",
"role": "user"
},
{
"content": "Little John started with $8.50. After buying $1.25 worth of sweets and giving $1.20 and $2.20 to his two friends, how much did he have left?",
"role": "assistant"
}
] |
Little John started with $8.50. After buying $1.25 worth of sweets and giving $1.20 and $2.20 to his two friends, how much did he have left?
|
little john had $ 8.50 . he spent $ 1.25 on sweets and gave to his two friends $ 1.20 and $ 2.20 . how much money was left ?
|
in covering a distance of 48 km , abhay takes 2 hours more than sameer . if abhay doubles his speed , then he would take 1 hour less than sameer . abhay ' s speed is :
|
[
{
"content": "in covering a distance of 48 km , abhay takes 2 hours more than sameer . if abhay doubles his speed , then he would take 1 hour less than sameer . abhay ' s speed is :",
"role": "user"
},
{
"content": "what is abhay 's speed , given that he covers a distance of 48 km in 2 hours more than sameer , but when he doubles his speed , he takes 1 hour less than sameer ?",
"role": "assistant"
}
] |
what is abhay 's speed , given that he covers a distance of 48 km in 2 hours more than sameer , but when he doubles his speed , he takes 1 hour less than sameer ?
|
in covering a distance of 48 km , abhay takes 2 hours more than sameer . if abhay doubles his speed , then he would take 1 hour less than sameer . abhay ' s speed is :
|
find the number of different prime factors of 1250
|
[
{
"content": "find the number of different prime factors of 1250",
"role": "user"
},
{
"content": "How many distinct prime factors does 1250 have?",
"role": "assistant"
}
] |
How many distinct prime factors does 1250 have?
|
find the number of different prime factors of 1250
|
the speed of a bus increases by 2 kmph after every one hour . if the distance travelled in the first one hour was 35 km , what was the total distance travelled in 12 hours ?
|
[
{
"content": "the speed of a bus increases by 2 kmph after every one hour . if the distance travelled in the first one hour was 35 km , what was the total distance travelled in 12 hours ?",
"role": "user"
},
{
"content": "Every hour, the bus's speed increases by 2 kmph, starting with a distance of 35 km in the first hour; what is the total distance covered in 12 hours?",
"role": "assistant"
}
] |
Every hour, the bus's speed increases by 2 kmph, starting with a distance of 35 km in the first hour; what is the total distance covered in 12 hours?
|
the speed of a bus increases by 2 kmph after every one hour . if the distance travelled in the first one hour was 35 km , what was the total distance travelled in 12 hours ?
|
harkamal purchased 8 kg of grapes at the rate of 90 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?
|
[
{
"content": "harkamal purchased 8 kg of grapes at the rate of 90 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?",
"role": "user"
},
{
"content": "What amount did Harkamal pay to the shopkeeper for 8 kg of grapes at 90 per kg and 9 kg of mangoes at 55 per kg",
"role": "assistant"
}
] |
What amount did Harkamal pay to the shopkeeper for 8 kg of grapes at 90 per kg and 9 kg of mangoes at 55 per kg
|
harkamal purchased 8 kg of grapes at the rate of 90 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?
|
the sum of the fourth and twelfth term of an arithmetic progression is 20 . what is the sum of the first 16 terms of the arithmetic progression ?
|
[
{
"content": "the sum of the fourth and twelfth term of an arithmetic progression is 20 . what is the sum of the first 16 terms of the arithmetic progression ?",
"role": "user"
},
{
"content": "If the fourth and twelfth terms of an arithmetic sequence add up to 20, what is the sum of the sequence's first 16 terms?",
"role": "assistant"
}
] |
If the fourth and twelfth terms of an arithmetic sequence add up to 20, what is the sum of the sequence's first 16 terms?
|
the sum of the fourth and twelfth term of an arithmetic progression is 20 . what is the sum of the first 16 terms of the arithmetic progression ?
|
there are 3 red shoes & 7 green shoes . if two of red shoes are drawn what is the probability of getting red shoes
|
[
{
"content": "there are 3 red shoes & 7 green shoes . if two of red shoes are drawn what is the probability of getting red shoes",
"role": "user"
},
{
"content": "There are 3 red and 7 green shoes. What's the probability of drawing two red shoes?",
"role": "assistant"
}
] |
There are 3 red and 7 green shoes. What's the probability of drawing two red shoes?
|
there are 3 red shoes & 7 green shoes . if two of red shoes are drawn what is the probability of getting red shoes
|
it will take 16 days for mary to complete a certain task alone . she worked for 8 days before she was joined by her sister . both of them completed the remaining task in 2 and half days . if her sister had joined her when she started the task , how many days would it have taken ?
|
[
{
"content": "it will take 16 days for mary to complete a certain task alone . she worked for 8 days before she was joined by her sister . both of them completed the remaining task in 2 and half days . if her sister had joined her when she started the task , how many days would it have taken ?",
"role": "user"
},
{
"content": "How many days would it take for Mary and her sister to complete the task if they worked together from the start ?",
"role": "assistant"
}
] |
How many days would it take for Mary and her sister to complete the task if they worked together from the start ?
|
it will take 16 days for mary to complete a certain task alone . she worked for 8 days before she was joined by her sister . both of them completed the remaining task in 2 and half days . if her sister had joined her when she started the task , how many days would it have taken ?
|
on dividing 73 by a number , the quotient is 9 and the remainder is 1 . find the divisor ?
|
[
{
"content": "on dividing 73 by a number , the quotient is 9 and the remainder is 1 . find the divisor ?",
"role": "user"
},
{
"content": "What is the number that divides 73 to give a quotient of 9 and a remainder of 1 ?",
"role": "assistant"
}
] |
What is the number that divides 73 to give a quotient of 9 and a remainder of 1 ?
|
on dividing 73 by a number , the quotient is 9 and the remainder is 1 . find the divisor ?
|
shruti purchased several number of 3 articles p , q and r in the proportion 3 : 2 : 3 . if the unit costs of the articles p , q and r are 200 , rs . 90 and rs . 60 respectively , how many articles of q must have been purchased in the total purchases of rs . 4800 ?
|
[
{
"content": "shruti purchased several number of 3 articles p , q and r in the proportion 3 : 2 : 3 . if the unit costs of the articles p , q and r are 200 , rs . 90 and rs . 60 respectively , how many articles of q must have been purchased in the total purchases of rs . 4800 ?",
"role": "user"
},
{
"content": "What number of article q was purchased if shruti bought articles p, q, and r in a 3:2:3 ratio with unit costs of 200, 90, and 60, and spent a total of 4800.",
"role": "assistant"
}
] |
What number of article q was purchased if shruti bought articles p, q, and r in a 3:2:3 ratio with unit costs of 200, 90, and 60, and spent a total of 4800.
|
shruti purchased several number of 3 articles p , q and r in the proportion 3 : 2 : 3 . if the unit costs of the articles p , q and r are 200 , rs . 90 and rs . 60 respectively , how many articles of q must have been purchased in the total purchases of rs . 4800 ?
|
a distributor sells a product through an on - line store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 15 per item . what is the price that the buyer observers on - line if the distributor wants to maintain a 40 % profit on the cost of the item ?
|
[
{
"content": "a distributor sells a product through an on - line store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 15 per item . what is the price that the buyer observers on - line if the distributor wants to maintain a 40 % profit on the cost of the item ?",
"role": "user"
},
{
"content": "What price will the online buyer see if the distributor wants to keep a 40% profit margin on the item's cost, given that the distributor buys it from the producer for $15 and sells it through an online store that takes a 20% commission?",
"role": "assistant"
}
] |
What price will the online buyer see if the distributor wants to keep a 40% profit margin on the item's cost, given that the distributor buys it from the producer for $15 and sells it through an online store that takes a 20% commission?
|
a distributor sells a product through an on - line store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 15 per item . what is the price that the buyer observers on - line if the distributor wants to maintain a 40 % profit on the cost of the item ?
|
a boy multiplied 987 by a certain number and obtained 559981 as his answer . if in the answer both 9 are wrong and the other digits are correct , then the correct answer would be :
|
[
{
"content": "a boy multiplied 987 by a certain number and obtained 559981 as his answer . if in the answer both 9 are wrong and the other digits are correct , then the correct answer would be :",
"role": "user"
},
{
"content": "If a boy multiplied 987 by a certain number and got 559981 as his answer, but both 9s in the answer are incorrect and the other digits are correct, what is the correct answer?",
"role": "assistant"
}
] |
If a boy multiplied 987 by a certain number and got 559981 as his answer, but both 9s in the answer are incorrect and the other digits are correct, what is the correct answer?
|
a boy multiplied 987 by a certain number and obtained 559981 as his answer . if in the answer both 9 are wrong and the other digits are correct , then the correct answer would be :
|
the least number which when increased by 5 each divisible by each one of 24 , 32 , 36 and 54 is :
|
[
{
"content": "the least number which when increased by 5 each divisible by each one of 24 , 32 , 36 and 54 is :",
"role": "user"
},
{
"content": "What is the smallest number that, when increased by 5, is divisible by 24, 32, 36, and 54?",
"role": "assistant"
}
] |
What is the smallest number that, when increased by 5, is divisible by 24, 32, 36, and 54?
|
the least number which when increased by 5 each divisible by each one of 24 , 32 , 36 and 54 is :
|
what is the compound interest on rs . 8500 at 7.5 % p . a . compounded half - yearly for 2 1 / 2 years .
|
[
{
"content": "what is the compound interest on rs . 8500 at 7.5 % p . a . compounded half - yearly for 2 1 / 2 years .",
"role": "user"
},
{
"content": "What is the compound interest earned on a principal amount of Rs. 8500 at a 7.5% per annum interest rate, compounded semi-annually for 2.5 years?",
"role": "assistant"
}
] |
What is the compound interest earned on a principal amount of Rs. 8500 at a 7.5% per annum interest rate, compounded semi-annually for 2.5 years?
|
what is the compound interest on rs . 8500 at 7.5 % p . a . compounded half - yearly for 2 1 / 2 years .
|
a certain company reported that the revenue on sales increased 40 % from 2000 to 2003 , and increased 80 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ?
|
[
{
"content": "a certain company reported that the revenue on sales increased 40 % from 2000 to 2003 , and increased 80 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ?",
"role": "user"
},
{
"content": "Approximately what percent increase in revenue occurred from 2003 to 2005 for this store",
"role": "assistant"
}
] |
Approximately what percent increase in revenue occurred from 2003 to 2005 for this store
|
a certain company reported that the revenue on sales increased 40 % from 2000 to 2003 , and increased 80 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ?
|
the l . c . m of two numbers is 48 . the numbers are in the ratio 2 : 3 . the sum of numbers is ?
|
[
{
"content": "the l . c . m of two numbers is 48 . the numbers are in the ratio 2 : 3 . the sum of numbers is ?",
"role": "user"
},
{
"content": "What is the sum of the two numbers that are in the ratio 2:3 and have an LCM of 48?",
"role": "assistant"
}
] |
What is the sum of the two numbers that are in the ratio 2:3 and have an LCM of 48?
|
the l . c . m of two numbers is 48 . the numbers are in the ratio 2 : 3 . the sum of numbers is ?
|
if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 65 , what is the common ratio of the g . p ?
|
[
{
"content": "if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 65 , what is the common ratio of the g . p ?",
"role": "user"
},
{
"content": "What is the common ratio of the GP if the ratio of the sum of the first six terms to the sum of the first three terms is 65?",
"role": "assistant"
}
] |
What is the common ratio of the GP if the ratio of the sum of the first six terms to the sum of the first three terms is 65?
|
if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 65 , what is the common ratio of the g . p ?
|
when jessica withdrew $ 200 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 1 / 3 of the remaining balance , what will be the final balance in her bank account ?
|
[
{
"content": "when jessica withdrew $ 200 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 1 / 3 of the remaining balance , what will be the final balance in her bank account ?",
"role": "user"
},
{
"content": "When Jessica withdrew $200 from her bank account, the balance decreased by 2/5. If she then deposits an amount equal to 1/3 of the remaining balance, what will her new bank account balance be?",
"role": "assistant"
}
] |
When Jessica withdrew $200 from her bank account, the balance decreased by 2/5. If she then deposits an amount equal to 1/3 of the remaining balance, what will her new bank account balance be?
|
when jessica withdrew $ 200 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 1 / 3 of the remaining balance , what will be the final balance in her bank account ?
|
a man traveled a total distance of 1200 km . he traveled one - third of the whole trip by plane and the distance traveled by train is two - thirds of the distance traveled by bus . if he traveled by train , plane and bus , how many kilometers did he travel by bus ?
|
[
{
"content": "a man traveled a total distance of 1200 km . he traveled one - third of the whole trip by plane and the distance traveled by train is two - thirds of the distance traveled by bus . if he traveled by train , plane and bus , how many kilometers did he travel by bus ?",
"role": "user"
},
{
"content": "A man traveled a total distance of 1200 km. One-third of the trip was by plane and the distance traveled by train was two-thirds of the distance traveled by bus. If he traveled by train, plane, and bus, what was the distance he traveled by bus?",
"role": "assistant"
}
] |
A man traveled a total distance of 1200 km. One-third of the trip was by plane and the distance traveled by train was two-thirds of the distance traveled by bus. If he traveled by train, plane, and bus, what was the distance he traveled by bus?
|
a man traveled a total distance of 1200 km . he traveled one - third of the whole trip by plane and the distance traveled by train is two - thirds of the distance traveled by bus . if he traveled by train , plane and bus , how many kilometers did he travel by bus ?
|
in town x , 64 percent of the population are employed , and 40 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 40 percent of the population are employed males . what percent of the employed people in town x are females ?",
"role": "user"
},
{
"content": "In town X, 64% of the population are employed, with 40% being employed males; what percentage of the employed population are female?",
"role": "assistant"
}
] |
In town X, 64% of the population are employed, with 40% being employed males; what percentage of the employed population are female?
|
in town x , 64 percent of the population are employed , and 40 percent of the population are employed males . what percent of the employed people in town x are females ?
|
find the average of all prime numbers between 1 and 5 .
|
[
{
"content": "find the average of all prime numbers between 1 and 5 .",
"role": "user"
},
{
"content": "What is the mean of all prime numbers from 1 to 5?",
"role": "assistant"
}
] |
What is the mean of all prime numbers from 1 to 5?
|
find the average of all prime numbers between 1 and 5 .
|
a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 237 for it , the cost price of the cricket bat for a is :
|
[
{
"content": "a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 237 for it , the cost price of the cricket bat for a is :",
"role": "user"
},
{
"content": "What is the cost price of the cricket bat for A if C pays $237 after B sells it at a 25% profit after purchasing it from A at a 20% profit?",
"role": "assistant"
}
] |
What is the cost price of the cricket bat for A if C pays $237 after B sells it at a 25% profit after purchasing it from A at a 20% profit?
|
a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 237 for it , the cost price of the cricket bat for a is :
|
how many numbers between 100 and 756 are divisible by 2 , 3 , and 7 together ?
|
[
{
"content": "how many numbers between 100 and 756 are divisible by 2 , 3 , and 7 together ?",
"role": "user"
},
{
"content": "What is the count of numbers between 100 and 756 that are divisible by 2, 3, and 7 simultaneously ?",
"role": "assistant"
}
] |
What is the count of numbers between 100 and 756 that are divisible by 2, 3, and 7 simultaneously ?
|
how many numbers between 100 and 756 are divisible by 2 , 3 , and 7 together ?
|
if the sides of a cube are in the ratio 9 : 5 . what is the ratio of their diagonals ?
|
[
{
"content": "if the sides of a cube are in the ratio 9 : 5 . what is the ratio of their diagonals ?",
"role": "user"
},
{
"content": "What is the ratio of the diagonals of a cube with sides in a 9:5 ratio?",
"role": "assistant"
}
] |
What is the ratio of the diagonals of a cube with sides in a 9:5 ratio?
|
if the sides of a cube are in the ratio 9 : 5 . what is the ratio of their diagonals ?
|
a and b together do a work in 20 days . b and c together in 15 days and c and a in 12 days . so a , b and c together finish same work in how many days ?
|
[
{
"content": "a and b together do a work in 20 days . b and c together in 15 days and c and a in 12 days . so a , b and c together finish same work in how many days ?",
"role": "user"
},
{
"content": "How many days will it take for a, b, and c to complete the same work together?",
"role": "assistant"
}
] |
How many days will it take for a, b, and c to complete the same work together?
|
a and b together do a work in 20 days . b and c together in 15 days and c and a in 12 days . so a , b and c together finish same work in how many days ?
|
if a train , travelling at a speed of 180 kmph , crosses a pole in 6 sec , then the length of train is ?
|
[
{
"content": "if a train , travelling at a speed of 180 kmph , crosses a pole in 6 sec , then the length of train is ?",
"role": "user"
},
{
"content": "What is the length of the train traveling at 180 km/h if it crosses a pole in 6 seconds?",
"role": "assistant"
}
] |
What is the length of the train traveling at 180 km/h if it crosses a pole in 6 seconds?
|
if a train , travelling at a speed of 180 kmph , crosses a pole in 6 sec , then the length of train is ?
|
a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 36 . find the profit percentage ?
|
[
{
"content": "a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 36 . find the profit percentage ?",
"role": "user"
},
{
"content": "What is the profit percentage when a dealer buys 15 items at Rs. 25 and sells 12 items at Rs. 36?",
"role": "assistant"
}
] |
What is the profit percentage when a dealer buys 15 items at Rs. 25 and sells 12 items at Rs. 36?
|
a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 36 . find the profit percentage ?
|
a can do a piece of work 60 days . b can do work in 90 days . in how many days they will complete the work together ?
|
[
{
"content": "a can do a piece of work 60 days . b can do work in 90 days . in how many days they will complete the work together ?",
"role": "user"
},
{
"content": "How many days will it take for a and b to complete the work together?",
"role": "assistant"
}
] |
How many days will it take for a and b to complete the work together?
|
a can do a piece of work 60 days . b can do work in 90 days . in how many days they will complete the work together ?
|
what least number should be added to 1536 , so that the sum is completely divisible by 21 ?
|
[
{
"content": "what least number should be added to 1536 , so that the sum is completely divisible by 21 ?",
"role": "user"
},
{
"content": "What is the smallest number that needs to be added to 1536 to make the sum a multiple of 21 ?",
"role": "assistant"
}
] |
What is the smallest number that needs to be added to 1536 to make the sum a multiple of 21 ?
|
what least number should be added to 1536 , so that the sum is completely divisible by 21 ?
|
find the simple interest on rs . 300 for 9 months at 6 paisa per month ?
|
[
{
"content": "find the simple interest on rs . 300 for 9 months at 6 paisa per month ?",
"role": "user"
},
{
"content": "What is the simple interest on Rs. 300 for 9 months at a rate of 6 paisa per month?",
"role": "assistant"
}
] |
What is the simple interest on Rs. 300 for 9 months at a rate of 6 paisa per month?
|
find the simple interest on rs . 300 for 9 months at 6 paisa per month ?
|
gary drove from point a to point b at 60 km / h . on his way back he took a train travelling at 110 km / h and therefore his trip back lasted 5 hours less . what is the distance ( in km ) between a and b ?
|
[
{
"content": "gary drove from point a to point b at 60 km / h . on his way back he took a train travelling at 110 km / h and therefore his trip back lasted 5 hours less . what is the distance ( in km ) between a and b ?",
"role": "user"
},
{
"content": "What is the distance in kilometers between points A and B if Gary drove from A to B at 60 km/h and returned by train at 110 km/h, taking 5 hours less for the return trip?",
"role": "assistant"
}
] |
What is the distance in kilometers between points A and B if Gary drove from A to B at 60 km/h and returned by train at 110 km/h, taking 5 hours less for the return trip?
|
gary drove from point a to point b at 60 km / h . on his way back he took a train travelling at 110 km / h and therefore his trip back lasted 5 hours less . what is the distance ( in km ) between a and b ?
|
when n is divided by 19 , the remainder is 7 . find thee difference between previous remainder and the remainder when 18 n is divided by 9 ?
|
[
{
"content": "when n is divided by 19 , the remainder is 7 . find thee difference between previous remainder and the remainder when 18 n is divided by 9 ?",
"role": "user"
},
{
"content": "What is the difference between the remainder when n is divided by 19 and the remainder when 18n is divided by 9, given that the remainder in the first case is 7 ?",
"role": "assistant"
}
] |
What is the difference between the remainder when n is divided by 19 and the remainder when 18n is divided by 9, given that the remainder in the first case is 7 ?
|
when n is divided by 19 , the remainder is 7 . find thee difference between previous remainder and the remainder when 18 n is divided by 9 ?
|
solution p is 20 percent lemonade and 80 percent carbonated water by volume ; solution q is 45 percent lemonade and 55 percent carbonated water by volume . if a mixture of pq contains 75 percent carbonated water , what percent of the volume of the mixture is p ?
|
[
{
"content": "solution p is 20 percent lemonade and 80 percent carbonated water by volume ; solution q is 45 percent lemonade and 55 percent carbonated water by volume . if a mixture of pq contains 75 percent carbonated water , what percent of the volume of the mixture is p ?",
"role": "user"
},
{
"content": "What percentage of the volume of a mixture of p and q is p, given that p contains 20% lemonade and 80% carbonated water, q contains 45% lemonade and 55% carbonated water, and the mixture contains 75% carbonated water?",
"role": "assistant"
}
] |
What percentage of the volume of a mixture of p and q is p, given that p contains 20% lemonade and 80% carbonated water, q contains 45% lemonade and 55% carbonated water, and the mixture contains 75% carbonated water?
|
solution p is 20 percent lemonade and 80 percent carbonated water by volume ; solution q is 45 percent lemonade and 55 percent carbonated water by volume . if a mixture of pq contains 75 percent carbonated water , what percent of the volume of the mixture is p ?
|
a can complete a work in 15 days and b can do the same work in 9 days . if a after doing 5 days , leaves the work , find in how many days b will do the remaining work ?
|
[
{
"content": "a can complete a work in 15 days and b can do the same work in 9 days . if a after doing 5 days , leaves the work , find in how many days b will do the remaining work ?",
"role": "user"
},
{
"content": "If A completes 5 days of work, how long will it take B to finish the remaining work, given A can complete the entire job in 15 days and B in 9 days?",
"role": "assistant"
}
] |
If A completes 5 days of work, how long will it take B to finish the remaining work, given A can complete the entire job in 15 days and B in 9 days?
|
a can complete a work in 15 days and b can do the same work in 9 days . if a after doing 5 days , leaves the work , find in how many days b will do the remaining work ?
|
the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 15 km / hr respectively . they will meet for the first time in ?
|
[
{
"content": "the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 15 km / hr respectively . they will meet for the first time in ?",
"role": "user"
},
{
"content": "At what time will Deepak and his wife, who are walking in opposite directions at 20 km/hr and 15 km/hr respectively, meet for the first time on a 1000-meter jogging track in a sports complex?",
"role": "assistant"
}
] |
At what time will Deepak and his wife, who are walking in opposite directions at 20 km/hr and 15 km/hr respectively, meet for the first time on a 1000-meter jogging track in a sports complex?
|
the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 15 km / hr respectively . they will meet for the first time in ?
|
the average weight of a class of 24 students is 35 kg . if the weight of the teacher be included , the average rises by 400 g . the weight of the teacher is :
|
[
{
"content": "the average weight of a class of 24 students is 35 kg . if the weight of the teacher be included , the average rises by 400 g . the weight of the teacher is :",
"role": "user"
},
{
"content": "What is the teacher's weight given that including it raises the average weight of the class of 24 students from 35 kg to 35.4 kg?",
"role": "assistant"
}
] |
What is the teacher's weight given that including it raises the average weight of the class of 24 students from 35 kg to 35.4 kg?
|
the average weight of a class of 24 students is 35 kg . if the weight of the teacher be included , the average rises by 400 g . the weight of the teacher is :
|
the contents of a certain box consist of 14 apples and 24 oranges . how many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples ?
|
[
{
"content": "the contents of a certain box consist of 14 apples and 24 oranges . how many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples ?",
"role": "user"
},
{
"content": "To make apples 70 percent of the total fruit, how many oranges need to be removed from the box containing 14 apples and 24 oranges?",
"role": "assistant"
}
] |
To make apples 70 percent of the total fruit, how many oranges need to be removed from the box containing 14 apples and 24 oranges?
|
the contents of a certain box consist of 14 apples and 24 oranges . how many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples ?
|
mary ' s income is 60 percent more than tim ' s income , and tim ' s income is 40 percent less than juan ' s income . what percent of juan ' s income is mary ' s income ?
|
[
{
"content": "mary ' s income is 60 percent more than tim ' s income , and tim ' s income is 40 percent less than juan ' s income . what percent of juan ' s income is mary ' s income ?",
"role": "user"
},
{
"content": "What percentage of Juan's income is equal to Mary's income",
"role": "assistant"
}
] |
What percentage of Juan's income is equal to Mary's income
|
mary ' s income is 60 percent more than tim ' s income , and tim ' s income is 40 percent less than juan ' s income . what percent of juan ' s income is mary ' s income ?
|
a and b are two circles . the radius of a is four times as large as the diameter of b . what is the ratio between the areas of the circles ?
|
[
{
"content": "a and b are two circles . the radius of a is four times as large as the diameter of b . what is the ratio between the areas of the circles ?",
"role": "user"
},
{
"content": "What is the ratio of the areas of two circles, one with a radius four times larger than the diameter of the other?",
"role": "assistant"
}
] |
What is the ratio of the areas of two circles, one with a radius four times larger than the diameter of the other?
|
a and b are two circles . the radius of a is four times as large as the diameter of b . what is the ratio between the areas of the circles ?
|
a can run 192 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?
|
[
{
"content": "a can run 192 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?",
"role": "user"
},
{
"content": "By how many meters does A outrun B?",
"role": "assistant"
}
] |
By how many meters does A outrun B?
|
a can run 192 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?
|
a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 585.75 . how many boxes of plain cookies did she sell ?
|
[
{
"content": "a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 585.75 . how many boxes of plain cookies did she sell ?",
"role": "user"
},
{
"content": "A girl scout sold boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of plain cookies ($0.75 each). Altogether, she sold 1,585 boxes for a combined value of $1,585.75. How many boxes of plain cookies were sold by her?",
"role": "assistant"
}
] |
A girl scout sold boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of plain cookies ($0.75 each). Altogether, she sold 1,585 boxes for a combined value of $1,585.75. How many boxes of plain cookies were sold by her?
|
a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 585.75 . how many boxes of plain cookies did she sell ?
|
three pipes a , b and c can fill a tank from empty to full in 30 minutes , 20 minutes and 10 minutes respectively . when the tank is empty , all the three pipes are opened . a , b and c discharge chemical solutions p , q and r respectively . what is the proportion of solution q in the liquid in the tank after 3 minutes ?
|
[
{
"content": "three pipes a , b and c can fill a tank from empty to full in 30 minutes , 20 minutes and 10 minutes respectively . when the tank is empty , all the three pipes are opened . a , b and c discharge chemical solutions p , q and r respectively . what is the proportion of solution q in the liquid in the tank after 3 minutes ?",
"role": "user"
},
{
"content": "Here is the paraphrased text:\n\nThree pipes - a, b, and c - can fill a tank in 30, 20, and 10 minutes, respectively. With the tank empty, all three pipes are opened, discharging solutions p, q, and r from a, b, and c. What is the ratio of solution q in the tank's liquid after 3 minutes?",
"role": "assistant"
}
] |
Here is the paraphrased text:
Three pipes - a, b, and c - can fill a tank in 30, 20, and 10 minutes, respectively. With the tank empty, all three pipes are opened, discharging solutions p, q, and r from a, b, and c. What is the ratio of solution q in the tank's liquid after 3 minutes?
|
three pipes a , b and c can fill a tank from empty to full in 30 minutes , 20 minutes and 10 minutes respectively . when the tank is empty , all the three pipes are opened . a , b and c discharge chemical solutions p , q and r respectively . what is the proportion of solution q in the liquid in the tank after 3 minutes ?
|
if a 5 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ?
|
[
{
"content": "if a 5 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ?",
"role": "user"
},
{
"content": "What is the percentage increase in surface area when a 5 cm cube is cut into 1 cm cubes ?",
"role": "assistant"
}
] |
What is the percentage increase in surface area when a 5 cm cube is cut into 1 cm cubes ?
|
if a 5 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ?
|
a straight line in the xy - plane has a slope of 2 and a y - intercept of 2 . on this line , what is the x - coordinate of the point whose y - coordinate is 550 ?
|
[
{
"content": "a straight line in the xy - plane has a slope of 2 and a y - intercept of 2 . on this line , what is the x - coordinate of the point whose y - coordinate is 550 ?",
"role": "user"
},
{
"content": "What is the x-coordinate of a point with a y-coordinate of 550 on a line in the xy-plane with a slope of 2 and a y-intercept of 2?",
"role": "assistant"
}
] |
What is the x-coordinate of a point with a y-coordinate of 550 on a line in the xy-plane with a slope of 2 and a y-intercept of 2?
|
a straight line in the xy - plane has a slope of 2 and a y - intercept of 2 . on this line , what is the x - coordinate of the point whose y - coordinate is 550 ?
|
one copy machine can make 30 copies a minute , and a second copy machine makes 15 copies a minute . if the two copiers work together , how long would it take them to make 900 copies ?
|
[
{
"content": "one copy machine can make 30 copies a minute , and a second copy machine makes 15 copies a minute . if the two copiers work together , how long would it take them to make 900 copies ?",
"role": "user"
},
{
"content": "Working together, how long would it take two copiers, one producing 30 copies per minute and the other 15 copies per minute, to make 900 copies?",
"role": "assistant"
}
] |
Working together, how long would it take two copiers, one producing 30 copies per minute and the other 15 copies per minute, to make 900 copies?
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one copy machine can make 30 copies a minute , and a second copy machine makes 15 copies a minute . if the two copiers work together , how long would it take them to make 900 copies ?
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two mechanics were working on your car . one can complete the given job in six hours , but the new guy takes 10 hours . they worked together for the first two hours , but then the first guy left to help another mechanic on a different job . how long will it take the new guy to finish your car ?
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[
{
"content": "two mechanics were working on your car . one can complete the given job in six hours , but the new guy takes 10 hours . they worked together for the first two hours , but then the first guy left to help another mechanic on a different job . how long will it take the new guy to finish your car ?",
"role": "user"
},
{
"content": "Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes 10 hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?\n\nHere's a paraphrased version of the text:\n\nTwo mechanics were working on your vehicle. One mechanic can complete the job in six hours, while the new mechanic requires 10 hours. After working together for two hours, the first mechanic left to assist another mechanic with a different job. How much longer will the new mechanic take to complete your car?",
"role": "assistant"
}
] |
Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes 10 hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?
Here's a paraphrased version of the text:
Two mechanics were working on your vehicle. One mechanic can complete the job in six hours, while the new mechanic requires 10 hours. After working together for two hours, the first mechanic left to assist another mechanic with a different job. How much longer will the new mechanic take to complete your car?
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two mechanics were working on your car . one can complete the given job in six hours , but the new guy takes 10 hours . they worked together for the first two hours , but then the first guy left to help another mechanic on a different job . how long will it take the new guy to finish your car ?
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