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a train running at the speed of 162 km / hr crosses a pole in 9 seconds . find the length of the train .
|
[
{
"content": "a train running at the speed of 162 km / hr crosses a pole in 9 seconds . find the length of the train .",
"role": "user"
},
{
"content": "What is the length of a train that crosses a pole at a speed of 162 km/hr in 9 seconds?",
"role": "assistant"
}
] |
What is the length of a train that crosses a pole at a speed of 162 km/hr in 9 seconds?
|
a train running at the speed of 162 km / hr crosses a pole in 9 seconds . find the length of the train .
|
a student has to obtain 30 % of the total marks to pass . he got 150 marks and failed by 30 marks . the maximum marks are ?
|
[
{
"content": "a student has to obtain 30 % of the total marks to pass . he got 150 marks and failed by 30 marks . the maximum marks are ?",
"role": "user"
},
{
"content": "What are the maximum marks if a student needs 30% to pass, got 150 marks, and failed by 30 marks?",
"role": "assistant"
}
] |
What are the maximum marks if a student needs 30% to pass, got 150 marks, and failed by 30 marks?
|
a student has to obtain 30 % of the total marks to pass . he got 150 marks and failed by 30 marks . the maximum marks are ?
|
a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 5 liters per minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours . the capacity of the tank is ?
|
[
{
"content": "a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 5 liters per minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours . the capacity of the tank is ?",
"role": "user"
},
{
"content": "What is the tank's capacity when a leak empties it in 6 hours, but with an inlet pipe filling at 5 liters per minute, it empties in 8 hours when full?",
"role": "assistant"
}
] |
What is the tank's capacity when a leak empties it in 6 hours, but with an inlet pipe filling at 5 liters per minute, it empties in 8 hours when full?
|
a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 5 liters per minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours . the capacity of the tank is ?
|
we bought 85 hats at the store . blue hats cost $ 6 and green hats cost $ 7 . the total price was $ 560 . how many green hats did we buy ?
|
[
{
"content": "we bought 85 hats at the store . blue hats cost $ 6 and green hats cost $ 7 . the total price was $ 560 . how many green hats did we buy ?",
"role": "user"
},
{
"content": "At the store, 85 hats were purchased, with blue hats at $6 and green hats at $7, and the total came out to be $560; how many green hats were bought?",
"role": "assistant"
}
] |
At the store, 85 hats were purchased, with blue hats at $6 and green hats at $7, and the total came out to be $560; how many green hats were bought?
|
we bought 85 hats at the store . blue hats cost $ 6 and green hats cost $ 7 . the total price was $ 560 . how many green hats did we buy ?
|
among all sales staff at listco corporation , college graduates and those without college degrees are equally represented . each sales staff member is either a level - 1 or level - 2 employee . level - 1 college graduates account for 10 % of listco ' s sales staff . listco employs 72 level - 1 employees , 20 of whom are college graduates . how many sales staff members without college degrees are level - 2 employees ?
|
[
{
"content": "among all sales staff at listco corporation , college graduates and those without college degrees are equally represented . each sales staff member is either a level - 1 or level - 2 employee . level - 1 college graduates account for 10 % of listco ' s sales staff . listco employs 72 level - 1 employees , 20 of whom are college graduates . how many sales staff members without college degrees are level - 2 employees ?",
"role": "user"
},
{
"content": "At Listco Corporation, the number of sales staff with and without a college degree is the same. Each sales staff member is classified as either level 1 or level 2. College graduates make up 10% of the sales staff at Listco. Among the 72 level 1 employees, 20 are college graduates. What is the number of level 2 sales staff without a college degree?",
"role": "assistant"
}
] |
At Listco Corporation, the number of sales staff with and without a college degree is the same. Each sales staff member is classified as either level 1 or level 2. College graduates make up 10% of the sales staff at Listco. Among the 72 level 1 employees, 20 are college graduates. What is the number of level 2 sales staff without a college degree?
|
among all sales staff at listco corporation , college graduates and those without college degrees are equally represented . each sales staff member is either a level - 1 or level - 2 employee . level - 1 college graduates account for 10 % of listco ' s sales staff . listco employs 72 level - 1 employees , 20 of whom are college graduates . how many sales staff members without college degrees are level - 2 employees ?
|
the compound interest earned on a sum for the second and the third years are $ 1400 and $ 1498 respectively . what is the rate of interest ?
|
[
{
"content": "the compound interest earned on a sum for the second and the third years are $ 1400 and $ 1498 respectively . what is the rate of interest ?",
"role": "user"
},
{
"content": "What is the interest rate on a principal amount that earns $1400 in the second year and $1498 in the third year of compound interest?",
"role": "assistant"
}
] |
What is the interest rate on a principal amount that earns $1400 in the second year and $1498 in the third year of compound interest?
|
the compound interest earned on a sum for the second and the third years are $ 1400 and $ 1498 respectively . what is the rate of interest ?
|
a man can row 9 kmph in still water . when the river is running at 3.1 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?
|
[
{
"content": "a man can row 9 kmph in still water . when the river is running at 3.1 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?",
"role": "user"
},
{
"content": "What is the total distance the man travels when rowing to a place and back at a river speed of 3.1 kmph, given his speed in still water is 9 kmph and it takes him 1 hour for the round trip?",
"role": "assistant"
}
] |
What is the total distance the man travels when rowing to a place and back at a river speed of 3.1 kmph, given his speed in still water is 9 kmph and it takes him 1 hour for the round trip?
|
a man can row 9 kmph in still water . when the river is running at 3.1 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?
|
a man invests some money partly in 12 % stock at 105 and partly in 8 % stock at 88 . to obtain equal dividends from both , he must invest the money in the ratio :
|
[
{
"content": "a man invests some money partly in 12 % stock at 105 and partly in 8 % stock at 88 . to obtain equal dividends from both , he must invest the money in the ratio :",
"role": "user"
},
{
"content": "In order to receive equal dividends from both investments, in what ratio should the man allocate his money between 12% stock at 105 and 8% stock at 88?",
"role": "assistant"
}
] |
In order to receive equal dividends from both investments, in what ratio should the man allocate his money between 12% stock at 105 and 8% stock at 88?
|
a man invests some money partly in 12 % stock at 105 and partly in 8 % stock at 88 . to obtain equal dividends from both , he must invest the money in the ratio :
|
a man cycling along the road noticed that every 15 minutes a bus overtakes him and every 5 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?
|
[
{
"content": "a man cycling along the road noticed that every 15 minutes a bus overtakes him and every 5 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?",
"role": "user"
},
{
"content": "a man cycling along the road noticed that every 15 minutes a bus overtakes him and every 5 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?\n\nHere's a paraphrased version:\n\nA cyclist on the road observes that a bus passes him every 15 minutes and encounters an oncoming bus every 5 minutes. Assuming constant speeds for the buses and the cyclist, what is the time gap between consecutive buses?",
"role": "assistant"
}
] |
a man cycling along the road noticed that every 15 minutes a bus overtakes him and every 5 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?
Here's a paraphrased version:
A cyclist on the road observes that a bus passes him every 15 minutes and encounters an oncoming bus every 5 minutes. Assuming constant speeds for the buses and the cyclist, what is the time gap between consecutive buses?
|
a man cycling along the road noticed that every 15 minutes a bus overtakes him and every 5 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?
|
rakesh ' s mathematics test had 75 problems , 10 arithmetic , 30 algebra , 35 geometry problems . although he answered 70 % of arithmetic , 40 % of arithmetic and 60 % of geometry problems correctly , still he got less than 60 % problems right . how many more questions he would have to answer more to get passed ?
|
[
{
"content": "rakesh ' s mathematics test had 75 problems , 10 arithmetic , 30 algebra , 35 geometry problems . although he answered 70 % of arithmetic , 40 % of arithmetic and 60 % of geometry problems correctly , still he got less than 60 % problems right . how many more questions he would have to answer more to get passed ?",
"role": "user"
},
{
"content": "To pass, how many more questions does Rakesh need to answer correctly?",
"role": "assistant"
}
] |
To pass, how many more questions does Rakesh need to answer correctly?
|
rakesh ' s mathematics test had 75 problems , 10 arithmetic , 30 algebra , 35 geometry problems . although he answered 70 % of arithmetic , 40 % of arithmetic and 60 % of geometry problems correctly , still he got less than 60 % problems right . how many more questions he would have to answer more to get passed ?
|
a number x is multiplied by 7 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x if x ≠ 0 ?
|
[
{
"content": "a number x is multiplied by 7 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x if x ≠ 0 ?",
"role": "user"
},
{
"content": "What is the value of a non-zero number x such that the positive square root of (7x)/3 equals x?",
"role": "assistant"
}
] |
What is the value of a non-zero number x such that the positive square root of (7x)/3 equals x?
|
a number x is multiplied by 7 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x if x ≠ 0 ?
|
how many of the positive divisors of 240 are also multiples of 4 not including 240 ?
|
[
{
"content": "how many of the positive divisors of 240 are also multiples of 4 not including 240 ?",
"role": "user"
},
{
"content": "What is the number of positive divisors of 240, excluding 240 itself, that are also multiples of 4 ?",
"role": "assistant"
}
] |
What is the number of positive divisors of 240, excluding 240 itself, that are also multiples of 4 ?
|
how many of the positive divisors of 240 are also multiples of 4 not including 240 ?
|
one day , connie plays a game with a fair 6 - sided die . connie rolls the die until she rolls a 6 , at which point the game ends . if she rolls a 6 on her first turn , connie wins 6 dollars . for each subsequent turn , connie wins 1 6 of the amount she would have won the previous turn . what is connie ' s expected earnings from the game ?
|
[
{
"content": "one day , connie plays a game with a fair 6 - sided die . connie rolls the die until she rolls a 6 , at which point the game ends . if she rolls a 6 on her first turn , connie wins 6 dollars . for each subsequent turn , connie wins 1 6 of the amount she would have won the previous turn . what is connie ' s expected earnings from the game ?",
"role": "user"
},
{
"content": "What are Connie's expected winnings from a game where she rolls a fair 6-sided die until a 6 appears, with the first 6 earning her $6 and each subsequent 6 earning her 1/6 of the previous turn's amount?",
"role": "assistant"
}
] |
What are Connie's expected winnings from a game where she rolls a fair 6-sided die until a 6 appears, with the first 6 earning her $6 and each subsequent 6 earning her 1/6 of the previous turn's amount?
|
one day , connie plays a game with a fair 6 - sided die . connie rolls the die until she rolls a 6 , at which point the game ends . if she rolls a 6 on her first turn , connie wins 6 dollars . for each subsequent turn , connie wins 1 6 of the amount she would have won the previous turn . what is connie ' s expected earnings from the game ?
|
in the manufacture of a certain product , 6 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 , 6 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 total production units are defective and ultimately sold?",
"role": "assistant"
}
] |
What percentage of the total production units are defective and ultimately sold?
|
in the manufacture of a certain product , 6 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 ?
|
in a group of ducks and cows , the total number of legs are 26 more than twice the no . of heads . find the total no . of buffaloes .
|
[
{
"content": "in a group of ducks and cows , the total number of legs are 26 more than twice the no . of heads . find the total no . of buffaloes .",
"role": "user"
},
{
"content": "In a group of ducks and cows, the total number of legs is 26 more than double the number of heads; find the total number of cows.",
"role": "assistant"
}
] |
In a group of ducks and cows, the total number of legs is 26 more than double the number of heads; find the total number of cows.
|
in a group of ducks and cows , the total number of legs are 26 more than twice the no . of heads . find the total no . of buffaloes .
|
a man walking at 3 / 4 th of the speed , reaches his office late by 2 hours . what is the usual time ?
|
[
{
"content": "a man walking at 3 / 4 th of the speed , reaches his office late by 2 hours . what is the usual time ?",
"role": "user"
},
{
"content": "At what time does the man normally arrive at his office",
"role": "assistant"
}
] |
At what time does the man normally arrive at his office
|
a man walking at 3 / 4 th of the speed , reaches his office late by 2 hours . what is the usual time ?
|
given a + b = 1 , find the value of 2 a + 2 b . two solutions are presented below . only one is correct , even though both yield the correct answer .
|
[
{
"content": "given a + b = 1 , find the value of 2 a + 2 b . two solutions are presented below . only one is correct , even though both yield the correct answer .",
"role": "user"
},
{
"content": "Given a + b = 1, what is the value of 2a + 2b? Two solutions are presented below, but only one is correct despite both giving the correct answer.",
"role": "assistant"
}
] |
Given a + b = 1, what is the value of 2a + 2b? Two solutions are presented below, but only one is correct despite both giving the correct answer.
|
given a + b = 1 , find the value of 2 a + 2 b . two solutions are presented below . only one is correct , even though both yield the correct answer .
|
a sum fetched total simple interest of 4016.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?
|
[
{
"content": "a sum fetched total simple interest of 4016.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?",
"role": "user"
},
{
"content": "What is the principal amount that earned a simple interest of 4016.25 at a 9% per annum rate over 5 years?",
"role": "assistant"
}
] |
What is the principal amount that earned a simple interest of 4016.25 at a 9% per annum rate over 5 years?
|
a sum fetched total simple interest of 4016.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?
|
what is the sum of all possible 3 - digit numbers that can be constructed using the digits 2 , 3 , and 5 if each digit can be used only once in each number ?
|
[
{
"content": "what is the sum of all possible 3 - digit numbers that can be constructed using the digits 2 , 3 , and 5 if each digit can be used only once in each number ?",
"role": "user"
},
{
"content": "What is the sum of all the unique 3-digit numbers that can be formed by using the digits 2, 3, and 5 without repeating any digit within each number?",
"role": "assistant"
}
] |
What is the sum of all the unique 3-digit numbers that can be formed by using the digits 2, 3, and 5 without repeating any digit within each number?
|
what is the sum of all possible 3 - digit numbers that can be constructed using the digits 2 , 3 , and 5 if each digit can be used only once in each number ?
|
a total of 30 percent of the geese included in a certain migration study were male . if some of the geese migrated during the study and 25 percent of the migrating geese were male , what was the ratio of the migration rate for the male geese to the migration rate for the female geese ? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ]
|
[
{
"content": "a total of 30 percent of the geese included in a certain migration study were male . if some of the geese migrated during the study and 25 percent of the migrating geese were male , what was the ratio of the migration rate for the male geese to the migration rate for the female geese ? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ]",
"role": "user"
},
{
"content": "What is the ratio of male to female migration rates given that 30% of the geese studied were male and 25% of the migrating geese were male?",
"role": "assistant"
}
] |
What is the ratio of male to female migration rates given that 30% of the geese studied were male and 25% of the migrating geese were male?
|
a total of 30 percent of the geese included in a certain migration study were male . if some of the geese migrated during the study and 25 percent of the migrating geese were male , what was the ratio of the migration rate for the male geese to the migration rate for the female geese ? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ]
|
the h . c . f of two numbers is 11 and their l . c . m is 7700 . if one of the numbers is 275 , then the other is ?
|
[
{
"content": "the h . c . f of two numbers is 11 and their l . c . m is 7700 . if one of the numbers is 275 , then the other is ?",
"role": "user"
},
{
"content": "Given the HCF of two numbers is 11 and their LCM is 7700, if one number is 275, what is the other number?",
"role": "assistant"
}
] |
Given the HCF of two numbers is 11 and their LCM is 7700, if one number is 275, what is the other number?
|
the h . c . f of two numbers is 11 and their l . c . m is 7700 . if one of the numbers is 275 , then the other is ?
|
a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 7 , ab = 5 and ac = 11 , what is the length of ae ?
|
[
{
"content": "a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 7 , ab = 5 and ac = 11 , what is the length of ae ?",
"role": "user"
},
{
"content": "Given points a, b, c, d, and e are consecutive on a line, if bc = 2cd, de = 7, ab = 5, and ac = 11, what is the length of ae?",
"role": "assistant"
}
] |
Given points a, b, c, d, and e are consecutive on a line, if bc = 2cd, de = 7, ab = 5, and ac = 11, what is the length of ae?
|
a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 7 , ab = 5 and ac = 11 , what is the length of ae ?
|
in a garden , there are 10 rows and 12 columns of mango trees . the distance between the two trees is 2 metres and a distance of four metre is left from all sides of the boundary of the garden . what is the length of the garden ?
|
[
{
"content": "in a garden , there are 10 rows and 12 columns of mango trees . the distance between the two trees is 2 metres and a distance of four metre is left from all sides of the boundary of the garden . what is the length of the garden ?",
"role": "user"
},
{
"content": "In a garden with 10 rows and 12 columns of mango trees, and 2 meters between trees, and 4 meters of space on the garden's perimeter, what is the garden's length?",
"role": "assistant"
}
] |
In a garden with 10 rows and 12 columns of mango trees, and 2 meters between trees, and 4 meters of space on the garden's perimeter, what is the garden's length?
|
in a garden , there are 10 rows and 12 columns of mango trees . the distance between the two trees is 2 metres and a distance of four metre is left from all sides of the boundary of the garden . what is the length of the garden ?
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each of the integers from 1 to 17 is written on the a seperate index card and placed in a box . if the cards are drawn from the box at random without replecement , how many cards must be drawn to ensure that the product of all the integers drawn is even ?
|
[
{
"content": "each of the integers from 1 to 17 is written on the a seperate index card and placed in a box . if the cards are drawn from the box at random without replecement , how many cards must be drawn to ensure that the product of all the integers drawn is even ?",
"role": "user"
},
{
"content": "What's the minimum number of cards that need to be drawn from the box to guarantee that the product of the drawn integers is even?",
"role": "assistant"
}
] |
What's the minimum number of cards that need to be drawn from the box to guarantee that the product of the drawn integers is even?
|
each of the integers from 1 to 17 is written on the a seperate index card and placed in a box . if the cards are drawn from the box at random without replecement , how many cards must be drawn to ensure that the product of all the integers drawn is even ?
|
the averge score of a cricketer for 10 matches is 45 runs . if the average for the first 6 matches is 48 . then find the average for the last 4 matches ?
|
[
{
"content": "the averge score of a cricketer for 10 matches is 45 runs . if the average for the first 6 matches is 48 . then find the average for the last 4 matches ?",
"role": "user"
},
{
"content": "What is the average score of the cricketer for the last 4 matches, given that the overall average for 10 matches is 45 runs and the average for the first 6 matches is 48?",
"role": "assistant"
}
] |
What is the average score of the cricketer for the last 4 matches, given that the overall average for 10 matches is 45 runs and the average for the first 6 matches is 48?
|
the averge score of a cricketer for 10 matches is 45 runs . if the average for the first 6 matches is 48 . then find the average for the last 4 matches ?
|
a shopkeeper fixes the marked price of an item 40 % above its cost price . the percentage of discount allowed to gain 8 % is
|
[
{
"content": "a shopkeeper fixes the marked price of an item 40 % above its cost price . the percentage of discount allowed to gain 8 % is",
"role": "user"
},
{
"content": "To gain 8%, what percentage discount should be allowed on the marked price, which is 40% above the cost price?",
"role": "assistant"
}
] |
To gain 8%, what percentage discount should be allowed on the marked price, which is 40% above the cost price?
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a shopkeeper fixes the marked price of an item 40 % above its cost price . the percentage of discount allowed to gain 8 % is
|
how long does a train 60 m long travelling at 60 kmph takes to cross a bridge of 80 m in length ?
|
[
{
"content": "how long does a train 60 m long travelling at 60 kmph takes to cross a bridge of 80 m in length ?",
"role": "user"
},
{
"content": "What's the time taken by a 60m long train moving at 60kmph to cross an 80m bridge?",
"role": "assistant"
}
] |
What's the time taken by a 60m long train moving at 60kmph to cross an 80m bridge?
|
how long does a train 60 m long travelling at 60 kmph takes to cross a bridge of 80 m in length ?
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a circle graph shows how the budget of a certain company was spent : 55 percent for salaries , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ?
|
[
{
"content": "a circle graph shows how the budget of a certain company was spent : 55 percent for salaries , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ?",
"role": "user"
},
{
"content": "What fraction of the 360 degrees in the circle graph is allocated to transportation, given that the area of each sector is proportional to the percent of the budget it represents?",
"role": "assistant"
}
] |
What fraction of the 360 degrees in the circle graph is allocated to transportation, given that the area of each sector is proportional to the percent of the budget it represents?
|
a circle graph shows how the budget of a certain company was spent : 55 percent for salaries , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ?
|
how many integers are between 5 and 96 / 7 , inclusive ?
|
[
{
"content": "how many integers are between 5 and 96 / 7 , inclusive ?",
"role": "user"
},
{
"content": "What is the number of integers between 5 and 96 / 7 , inclusive ?",
"role": "assistant"
}
] |
What is the number of integers between 5 and 96 / 7 , inclusive ?
|
how many integers are between 5 and 96 / 7 , inclusive ?
|
simplify : 256 x 256 - 144 x 144
|
[
{
"content": "simplify : 256 x 256 - 144 x 144",
"role": "user"
},
{
"content": "256² - 144²",
"role": "assistant"
}
] |
256² - 144²
|
simplify : 256 x 256 - 144 x 144
|
the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 20 , what is the perimeter of the garden , in feet ?
|
[
{
"content": "the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 20 , what is the perimeter of the garden , in feet ?",
"role": "user"
},
{
"content": "Given that a square garden has an area of a square feet and a perimeter of p feet, if a = 2p + 20, what is the garden's perimeter in feet?",
"role": "assistant"
}
] |
Given that a square garden has an area of a square feet and a perimeter of p feet, if a = 2p + 20, what is the garden's perimeter in feet?
|
the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 20 , what is the perimeter of the garden , in feet ?
|
which is the least number that must be subtracted from 1856 so that the remainder when divided by 7 , 12 , 10 is 4 ?
|
[
{
"content": "which is the least number that must be subtracted from 1856 so that the remainder when divided by 7 , 12 , 10 is 4 ?",
"role": "user"
},
{
"content": "What is the smallest number that needs to be subtracted from 1856 so that the remainder when divided by 7, 12, or 10 is 4?",
"role": "assistant"
}
] |
What is the smallest number that needs to be subtracted from 1856 so that the remainder when divided by 7, 12, or 10 is 4?
|
which is the least number that must be subtracted from 1856 so that the remainder when divided by 7 , 12 , 10 is 4 ?
|
find the average of first 3 multiples of 5 ?
|
[
{
"content": "find the average of first 3 multiples of 5 ?",
"role": "user"
},
{
"content": "What is the average of the first three multiples of 5?",
"role": "assistant"
}
] |
What is the average of the first three multiples of 5?
|
find the average of first 3 multiples of 5 ?
|
the population of a town increased from 1 , 34,800 to 2 , 42,500 in a decade . the average percent increase of population per year is :
|
[
{
"content": "the population of a town increased from 1 , 34,800 to 2 , 42,500 in a decade . the average percent increase of population per year is :",
"role": "user"
},
{
"content": "What is the average percent increase in population per year if a town's population grew from 134,800 to 242,500 over a decade?",
"role": "assistant"
}
] |
What is the average percent increase in population per year if a town's population grew from 134,800 to 242,500 over a decade?
|
the population of a town increased from 1 , 34,800 to 2 , 42,500 in a decade . the average percent increase of population per year is :
|
how many bricks , each measuring 25 cm * 11.25 cm * 6 cm , will be needed to build a wall 8 m * 6 m * 22.5 m
|
[
{
"content": "how many bricks , each measuring 25 cm * 11.25 cm * 6 cm , will be needed to build a wall 8 m * 6 m * 22.5 m",
"role": "user"
},
{
"content": "What is the number of bricks, with dimensions 25 cm * 11.25 cm * 6 cm, required to construct a wall of 8 m * 6 m * 22.5 m?",
"role": "assistant"
}
] |
What is the number of bricks, with dimensions 25 cm * 11.25 cm * 6 cm, required to construct a wall of 8 m * 6 m * 22.5 m?
|
how many bricks , each measuring 25 cm * 11.25 cm * 6 cm , will be needed to build a wall 8 m * 6 m * 22.5 m
|
a soccer team played 160 games and won 65 percent of them . how many games did it win ?
|
[
{
"content": "a soccer team played 160 games and won 65 percent of them . how many games did it win ?",
"role": "user"
},
{
"content": "Out of 160 games played by a soccer team, 65 percent were won, what was the total number of wins?",
"role": "assistant"
}
] |
Out of 160 games played by a soccer team, 65 percent were won, what was the total number of wins?
|
a soccer team played 160 games and won 65 percent of them . how many games did it win ?
|
a certain no . when divided by 80 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ?
|
[
{
"content": "a certain no . when divided by 80 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ?",
"role": "user"
},
{
"content": "What is the remainder when a certain number that leaves a remainder of 25 when divided by 80 is divided by 15 instead?",
"role": "assistant"
}
] |
What is the remainder when a certain number that leaves a remainder of 25 when divided by 80 is divided by 15 instead?
|
a certain no . when divided by 80 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ?
|
a trader sells 80 meters of cloth for rs . 9000 at the profit of rs . 23.5 per metre of cloth . what is the cost price of one metre of cloth ?
|
[
{
"content": "a trader sells 80 meters of cloth for rs . 9000 at the profit of rs . 23.5 per metre of cloth . what is the cost price of one metre of cloth ?",
"role": "user"
},
{
"content": "What is the cost price per meter of cloth if a trader sells 80 meters for Rs. 9000 with a profit of Rs. 23.5 per meter?",
"role": "assistant"
}
] |
What is the cost price per meter of cloth if a trader sells 80 meters for Rs. 9000 with a profit of Rs. 23.5 per meter?
|
a trader sells 80 meters of cloth for rs . 9000 at the profit of rs . 23.5 per metre of cloth . what is the cost price of one metre of cloth ?
|
a farm has chickens , cows and sheep . there are 6 times the number of chickens and cows than sheep . if there are more cows than chickens or sheep , and together , cows and chickens have a total of 100 feet and heads , how many sheep live at the farm ?
|
[
{
"content": "a farm has chickens , cows and sheep . there are 6 times the number of chickens and cows than sheep . if there are more cows than chickens or sheep , and together , cows and chickens have a total of 100 feet and heads , how many sheep live at the farm ?",
"role": "user"
},
{
"content": "On the farm, there are chickens, cows, and sheep. The number of chickens and cows is 6 times the number of sheep. If cows outnumber chickens and sheep, and the combined total of cows' and chickens' feet and heads is 100, how many sheep are on the farm?",
"role": "assistant"
}
] |
On the farm, there are chickens, cows, and sheep. The number of chickens and cows is 6 times the number of sheep. If cows outnumber chickens and sheep, and the combined total of cows' and chickens' feet and heads is 100, how many sheep are on the farm?
|
a farm has chickens , cows and sheep . there are 6 times the number of chickens and cows than sheep . if there are more cows than chickens or sheep , and together , cows and chickens have a total of 100 feet and heads , how many sheep live at the farm ?
|
in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 75 percent of the registered voters who are democrats and 25 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?
|
[
{
"content": "in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 75 percent of the registered voters who are democrats and 25 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?",
"role": "user"
},
{
"content": "In a certain city, 60 percent of registered voters are democrats and the rest are republicans. In a mayoral race, if 75 percent of registered democrats and 25 percent of registered republicans are expected to vote for candidate a, what percentage of registered voters are expected to vote for candidate a?",
"role": "assistant"
}
] |
In a certain city, 60 percent of registered voters are democrats and the rest are republicans. In a mayoral race, if 75 percent of registered democrats and 25 percent of registered republicans are expected to vote for candidate a, what percentage of registered voters are expected to vote for candidate a?
|
in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 75 percent of the registered voters who are democrats and 25 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?
|
a rower can row 5 km / h in still water . when the river is running at 2 km / h , it takes the rower 1 hour to row to big rock and back . how many kilometers is it to big rock ?
|
[
{
"content": "a rower can row 5 km / h in still water . when the river is running at 2 km / h , it takes the rower 1 hour to row to big rock and back . how many kilometers is it to big rock ?",
"role": "user"
},
{
"content": "What distance is big rock from the starting point , given that the rower can travel 5 km / h in still water and it takes the rower 1 hour to row to big rock and back when the river is running at 2 km / h ?",
"role": "assistant"
}
] |
What distance is big rock from the starting point , given that the rower can travel 5 km / h in still water and it takes the rower 1 hour to row to big rock and back when the river is running at 2 km / h ?
|
a rower can row 5 km / h in still water . when the river is running at 2 km / h , it takes the rower 1 hour to row to big rock and back . how many kilometers is it to big rock ?
|
a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 24 m * 2 m * 0.75 m ?
|
[
{
"content": "a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 24 m * 2 m * 0.75 m ?",
"role": "user"
},
{
"content": "To calculate the number of bricks required for the wall, first, we need to calculate the volume of the wall and the volume of a single brick.\n\nThe volume of a single brick is 20 cm * 10 cm * 7.5 cm = 1500 cubic cm or 1.5 liters (since 1000 cubic cm = 1 liter).\n\nThe dimensions of the wall are given in meters, so we need to convert them to centimeters: \n24 m = 2400 cm, 2 m = 200 cm, and 0.75 m = 75 cm.\n\nNow, we can calculate the volume of the wall in cubic centimeters: \n2400 cm * 200 cm * 75 cm = 36,000,000 cubic cm.\n\nTo find the number of bricks required, divide the volume of the wall by the volume of a single brick: \n36,000,000 cubic cm / 1500 cubic cm = 24,000 bricks.\n\nSo, approximately 24,000 bricks will be required for the wall.",
"role": "assistant"
}
] |
To calculate the number of bricks required for the wall, first, we need to calculate the volume of the wall and the volume of a single brick.
The volume of a single brick is 20 cm * 10 cm * 7.5 cm = 1500 cubic cm or 1.5 liters (since 1000 cubic cm = 1 liter).
The dimensions of the wall are given in meters, so we need to convert them to centimeters:
24 m = 2400 cm, 2 m = 200 cm, and 0.75 m = 75 cm.
Now, we can calculate the volume of the wall in cubic centimeters:
2400 cm * 200 cm * 75 cm = 36,000,000 cubic cm.
To find the number of bricks required, divide the volume of the wall by the volume of a single brick:
36,000,000 cubic cm / 1500 cubic cm = 24,000 bricks.
So, approximately 24,000 bricks will be required for the wall.
|
a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 24 m * 2 m * 0.75 m ?
|
thirty percent of the members of a swim club have passed the lifesaving test . among the members who have not passed the test , 26 have taken the preparatory course and 65 have not taken the course . how many members are there in the swim club ?
|
[
{
"content": "thirty percent of the members of a swim club have passed the lifesaving test . among the members who have not passed the test , 26 have taken the preparatory course and 65 have not taken the course . how many members are there in the swim club ?",
"role": "user"
},
{
"content": "What is the total number of members in the swim club?",
"role": "assistant"
}
] |
What is the total number of members in the swim club?
|
thirty percent of the members of a swim club have passed the lifesaving test . among the members who have not passed the test , 26 have taken the preparatory course and 65 have not taken the course . how many members are there in the swim club ?
|
if 12 x = 16 y = 28 z , then what is a possible sum of positive integers x , y , and z ?
|
[
{
"content": "if 12 x = 16 y = 28 z , then what is a possible sum of positive integers x , y , and z ?",
"role": "user"
},
{
"content": "What could be the sum of positive integers x, y, and z if 12x = 16y = 28z?",
"role": "assistant"
}
] |
What could be the sum of positive integers x, y, and z if 12x = 16y = 28z?
|
if 12 x = 16 y = 28 z , then what is a possible sum of positive integers x , y , and z ?
|
a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100 . if the sale price of each machine was $ 10,000 and the salesperson received a $ 32,000 commission , how many machines did she sell ?
|
[
{
"content": "a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100 . if the sale price of each machine was $ 10,000 and the salesperson received a $ 32,000 commission , how many machines did she sell ?",
"role": "user"
},
{
"content": "How many machines were sold by the salesperson, who earned a 3% commission on the first 100 units and a 4% commission on subsequent units, with each machine priced at $10,000, resulting in a total commission of $32,000?",
"role": "assistant"
}
] |
How many machines were sold by the salesperson, who earned a 3% commission on the first 100 units and a 4% commission on subsequent units, with each machine priced at $10,000, resulting in a total commission of $32,000?
|
a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100 . if the sale price of each machine was $ 10,000 and the salesperson received a $ 32,000 commission , how many machines did she sell ?
|
in a group of ducks and cows , the total number of legs are 28 more than twice the no . of heads . find the total no . of buffaloes .
|
[
{
"content": "in a group of ducks and cows , the total number of legs are 28 more than twice the no . of heads . find the total no . of buffaloes .",
"role": "user"
},
{
"content": "In a group consisting of ducks and cows, if the total number of legs exceeds twice the number of heads by 28, determine the total number of buffaloes.",
"role": "assistant"
}
] |
In a group consisting of ducks and cows, if the total number of legs exceeds twice the number of heads by 28, determine the total number of buffaloes.
|
in a group of ducks and cows , the total number of legs are 28 more than twice the no . of heads . find the total no . of buffaloes .
|
a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5 : 3 . if he sells the blended variety at rs 26 per kg , then his gain percent is
|
[
{
"content": "a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5 : 3 . if he sells the blended variety at rs 26 per kg , then his gain percent is",
"role": "user"
},
{
"content": "A tea producer combines teas from two gardens, one at Rs 18/kg and the other at Rs 20/kg, in a 5:3 ratio. If the blend is sold at Rs 26/kg, what is the percentage gain?",
"role": "assistant"
}
] |
A tea producer combines teas from two gardens, one at Rs 18/kg and the other at Rs 20/kg, in a 5:3 ratio. If the blend is sold at Rs 26/kg, what is the percentage gain?
|
a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5 : 3 . if he sells the blended variety at rs 26 per kg , then his gain percent is
|
abel can complete a work in 10 days , ben in 12 days and carla in 16 days . all of them began the work together , but abel had to leave after 2 days and ben 4 days before the completion of the work . how long did the work last ?
|
[
{
"content": "abel can complete a work in 10 days , ben in 12 days and carla in 16 days . all of them began the work together , but abel had to leave after 2 days and ben 4 days before the completion of the work . how long did the work last ?",
"role": "user"
},
{
"content": "How many days did it take to finish the work?",
"role": "assistant"
}
] |
How many days did it take to finish the work?
|
abel can complete a work in 10 days , ben in 12 days and carla in 16 days . all of them began the work together , but abel had to leave after 2 days and ben 4 days before the completion of the work . how long did the work last ?
|
joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 4 of all the paint . during the second week , he uses 1 / 4 of the remaining paint . how many gallons of paint has joe used ?
|
[
{
"content": "joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 4 of all the paint . during the second week , he uses 1 / 4 of the remaining paint . how many gallons of paint has joe used ?",
"role": "user"
},
{
"content": "How many gallons of paint has Joe used in total after two weeks",
"role": "assistant"
}
] |
How many gallons of paint has Joe used in total after two weeks
|
joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 4 of all the paint . during the second week , he uses 1 / 4 of the remaining paint . how many gallons of paint has joe used ?
|
0,2 , 6 , 12 , 20 , 30 , 42 , ___
|
[
{
"content": "0,2 , 6 , 12 , 20 , 30 , 42 , ___",
"role": "user"
},
{
"content": "56",
"role": "assistant"
}
] |
56
|
0,2 , 6 , 12 , 20 , 30 , 42 , ___
|
the diameter of the driving wheel of a bus in 140 cm . how many revolutions per minute must the wheel make in order to keep a speed of 66 kmph ?
|
[
{
"content": "the diameter of the driving wheel of a bus in 140 cm . how many revolutions per minute must the wheel make in order to keep a speed of 66 kmph ?",
"role": "user"
},
{
"content": "To maintain a speed of 66 km/h, how many revolutions per minute must a bus's 140-cm driving wheel make?",
"role": "assistant"
}
] |
To maintain a speed of 66 km/h, how many revolutions per minute must a bus's 140-cm driving wheel make?
|
the diameter of the driving wheel of a bus in 140 cm . how many revolutions per minute must the wheel make in order to keep a speed of 66 kmph ?
|
a man has some hens and cows . if the number of heads be 50 and the number of feet equals 160 , then the number of hens will be :
|
[
{
"content": "a man has some hens and cows . if the number of heads be 50 and the number of feet equals 160 , then the number of hens will be :",
"role": "user"
},
{
"content": "A farmer owns some hens and cows. Given 50 heads and 160 feet, how many hens are there?",
"role": "assistant"
}
] |
A farmer owns some hens and cows. Given 50 heads and 160 feet, how many hens are there?
|
a man has some hens and cows . if the number of heads be 50 and the number of feet equals 160 , then the number of hens will be :
|
if a population of women in a town is 50 % of men . what is the population of men as a percentage of population of women ?
|
[
{
"content": "if a population of women in a town is 50 % of men . what is the population of men as a percentage of population of women ?",
"role": "user"
},
{
"content": "If the number of women in a town is half the number of men, what percentage of the female population are men?",
"role": "assistant"
}
] |
If the number of women in a town is half the number of men, what percentage of the female population are men?
|
if a population of women in a town is 50 % of men . what is the population of men as a percentage of population of women ?
|
how many even multiples of 65 are there between 649 and 1301 ?
|
[
{
"content": "how many even multiples of 65 are there between 649 and 1301 ?",
"role": "user"
},
{
"content": "What is the number of even multiples of 65 that exist between 649 and 1301?",
"role": "assistant"
}
] |
What is the number of even multiples of 65 that exist between 649 and 1301?
|
how many even multiples of 65 are there between 649 and 1301 ?
|
two trains are moving in opposite directions with speed of 70 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds
|
[
{
"content": "two trains are moving in opposite directions with speed of 70 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds",
"role": "user"
},
{
"content": "two trains are moving in opposite directions with speeds of 70 km/hr and 90 km/hr. their lengths are 1.10 km and 0.9 km, respectively. how many seconds does it take for the slower train to cross the faster train",
"role": "assistant"
}
] |
two trains are moving in opposite directions with speeds of 70 km/hr and 90 km/hr. their lengths are 1.10 km and 0.9 km, respectively. how many seconds does it take for the slower train to cross the faster train
|
two trains are moving in opposite directions with speed of 70 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds
|
in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 10 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?
|
[
{
"content": "in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 10 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?",
"role": "user"
},
{
"content": "What were the 1999 profits of company N as a percentage of the 1998 profits ?",
"role": "assistant"
}
] |
What were the 1999 profits of company N as a percentage of the 1998 profits ?
|
in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 10 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?
|
a certain experimental mathematics program was tried out in 2 classes in each of 26 elementary schools and involved 32 teachers . each of the classes had 1 teacher and each of the teachers taught at least 1 , but not more than 3 , of the classes . if the number of teachers who taught 3 classes is n , then the least and greatest possible values of n , respectively , are
|
[
{
"content": "a certain experimental mathematics program was tried out in 2 classes in each of 26 elementary schools and involved 32 teachers . each of the classes had 1 teacher and each of the teachers taught at least 1 , but not more than 3 , of the classes . if the number of teachers who taught 3 classes is n , then the least and greatest possible values of n , respectively , are",
"role": "user"
},
{
"content": "An experimental math program was tested in 2 classes across 26 elementary schools, involving 32 teachers, with each class having 1 teacher and each teacher teaching 1-3 classes. What are the minimum and maximum possible values of n, where n is the number of teachers who taught 3 classes?",
"role": "assistant"
}
] |
An experimental math program was tested in 2 classes across 26 elementary schools, involving 32 teachers, with each class having 1 teacher and each teacher teaching 1-3 classes. What are the minimum and maximum possible values of n, where n is the number of teachers who taught 3 classes?
|
a certain experimental mathematics program was tried out in 2 classes in each of 26 elementary schools and involved 32 teachers . each of the classes had 1 teacher and each of the teachers taught at least 1 , but not more than 3 , of the classes . if the number of teachers who taught 3 classes is n , then the least and greatest possible values of n , respectively , are
|
if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 5 ) , what is the value of x ?
|
[
{
"content": "if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 5 ) , what is the value of x ?",
"role": "user"
},
{
"content": "What is the value of x if 2^x - 2^(x-2) equals 3 * 2^5?",
"role": "assistant"
}
] |
What is the value of x if 2^x - 2^(x-2) equals 3 * 2^5?
|
if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 5 ) , what is the value of x ?
|
convert 1.8 hectares in ares
|
[
{
"content": "convert 1.8 hectares in ares",
"role": "user"
},
{
"content": "1.8 hectares is equivalent to how many ares",
"role": "assistant"
}
] |
1.8 hectares is equivalent to how many ares
|
convert 1.8 hectares in ares
|
in an examination , the percentage of students qualified to the students appeared from school ' p ' is 70 % . in school ' q ' , the number of students appeared is 30 % more than the students appeared from school ' p ' and the number of students qualified from school ' q ' is 50 % more than the students qualified from school ' p ' . what is the % of students qualified to the number of students appeared from school ' q ' ?
|
[
{
"content": "in an examination , the percentage of students qualified to the students appeared from school ' p ' is 70 % . in school ' q ' , the number of students appeared is 30 % more than the students appeared from school ' p ' and the number of students qualified from school ' q ' is 50 % more than the students qualified from school ' p ' . what is the % of students qualified to the number of students appeared from school ' q ' ?",
"role": "user"
},
{
"content": "In an examination, 70% of students from school 'p' qualified. School 'q' had 30% more students taking the exam than school 'p', and 50% more students from school 'q' qualified than from school 'p'. What is the percentage of students from school 'q' who qualified out of those who took the exam?",
"role": "assistant"
}
] |
In an examination, 70% of students from school 'p' qualified. School 'q' had 30% more students taking the exam than school 'p', and 50% more students from school 'q' qualified than from school 'p'. What is the percentage of students from school 'q' who qualified out of those who took the exam?
|
in an examination , the percentage of students qualified to the students appeared from school ' p ' is 70 % . in school ' q ' , the number of students appeared is 30 % more than the students appeared from school ' p ' and the number of students qualified from school ' q ' is 50 % more than the students qualified from school ' p ' . what is the % of students qualified to the number of students appeared from school ' q ' ?
|
there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 75 . how tall is the fourth person ?
|
[
{
"content": "there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 75 . how tall is the fourth person ?",
"role": "user"
},
{
"content": "Given 4 people of varying heights in ascending order, with the first and second person having a 2-inch height difference, the second and third person having a 2-inch height difference, and the third and fourth person having a 6-inch height difference, and knowing the average height is 75, what is the height of the fourth person?",
"role": "assistant"
}
] |
Given 4 people of varying heights in ascending order, with the first and second person having a 2-inch height difference, the second and third person having a 2-inch height difference, and the third and fourth person having a 6-inch height difference, and knowing the average height is 75, what is the height of the fourth person?
|
there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 75 . how tall is the fourth person ?
|
if the angles of an n sided polygon are in a . p and a > = 20 and d > = 20 then wat is the maximum possible value of n ?
|
[
{
"content": "if the angles of an n sided polygon are in a . p and a > = 20 and d > = 20 then wat is the maximum possible value of n ?",
"role": "user"
},
{
"content": "What is the maximum number of sides in a polygon where the interior angles are in an arithmetic progression with a common difference of at least 20 and the first term is at least 20?",
"role": "assistant"
}
] |
What is the maximum number of sides in a polygon where the interior angles are in an arithmetic progression with a common difference of at least 20 and the first term is at least 20?
|
if the angles of an n sided polygon are in a . p and a > = 20 and d > = 20 then wat is the maximum possible value of n ?
|
the average of 9 numbers is 23 . if each number is increased by 4 , what will the new average be ?
|
[
{
"content": "the average of 9 numbers is 23 . if each number is increased by 4 , what will the new average be ?",
"role": "user"
},
{
"content": "If 4 is added to each of the 9 numbers, what will be the new average?",
"role": "assistant"
}
] |
If 4 is added to each of the 9 numbers, what will be the new average?
|
the average of 9 numbers is 23 . if each number is increased by 4 , what will the new average be ?
|
a shopkeeper forced to sell at cost price , uses a 800 grams weight for a kilogram . what is his gain percent ?
|
[
{
"content": "a shopkeeper forced to sell at cost price , uses a 800 grams weight for a kilogram . what is his gain percent ?",
"role": "user"
},
{
"content": "A shopkeeper who sells at cost price but uses an 800-gram weight for a kilogram, what is the percentage gain?",
"role": "assistant"
}
] |
A shopkeeper who sells at cost price but uses an 800-gram weight for a kilogram, what is the percentage gain?
|
a shopkeeper forced to sell at cost price , uses a 800 grams weight for a kilogram . what is his gain percent ?
|
company z has 58 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday .
|
[
{
"content": "company z has 58 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday .",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nCompany Z has 58 employees. If Wednesday has the most birthdays, and all other days have an equal number of birthdays, what's the minimum number of employees born on a Wednesday?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
Company Z has 58 employees. If Wednesday has the most birthdays, and all other days have an equal number of birthdays, what's the minimum number of employees born on a Wednesday?
|
company z has 58 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday .
|
if there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city , find the number of 4 wheelers parked there if the total number of wheels is 82 ?
|
[
{
"content": "if there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city , find the number of 4 wheelers parked there if the total number of wheels is 82 ?",
"role": "user"
},
{
"content": "Determine the number of 4 wheelers in the city school if only 2 wheelers and 4 wheelers are parked and the total number of wheels is 82.",
"role": "assistant"
}
] |
Determine the number of 4 wheelers in the city school if only 2 wheelers and 4 wheelers are parked and the total number of wheels is 82.
|
if there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city , find the number of 4 wheelers parked there if the total number of wheels is 82 ?
|
if 50 % of x is 25 less than 25 % of 2500 , then x is ?
|
[
{
"content": "if 50 % of x is 25 less than 25 % of 2500 , then x is ?",
"role": "user"
},
{
"content": "What is the value of x if 50% of x is 25 less than 25% of 2500?",
"role": "assistant"
}
] |
What is the value of x if 50% of x is 25 less than 25% of 2500?
|
if 50 % of x is 25 less than 25 % of 2500 , then x is ?
|
a contractor undertakes to built a walls in 50 days . he employs 30 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ?
|
[
{
"content": "a contractor undertakes to built a walls in 50 days . he employs 30 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ?",
"role": "user"
},
{
"content": "To finish the project on schedule, how many additional workers must be hired given that 40% of the work is completed in 25 days with 30 workers?",
"role": "assistant"
}
] |
To finish the project on schedule, how many additional workers must be hired given that 40% of the work is completed in 25 days with 30 workers?
|
a contractor undertakes to built a walls in 50 days . he employs 30 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ?
|
in an examination , 30 % of total students failed in hindi , 35 % failed in english and 35 % in both . the percentage of these who passed in both the subjects is :
|
[
{
"content": "in an examination , 30 % of total students failed in hindi , 35 % failed in english and 35 % in both . the percentage of these who passed in both the subjects is :",
"role": "user"
},
{
"content": "In a test, 30% of the students failed Hindi, 35% failed English, and 35% failed both. What percentage passed both subjects?",
"role": "assistant"
}
] |
In a test, 30% of the students failed Hindi, 35% failed English, and 35% failed both. What percentage passed both subjects?
|
in an examination , 30 % of total students failed in hindi , 35 % failed in english and 35 % in both . the percentage of these who passed in both the subjects is :
|
in a shop , the profit is 320 % of the cost . if the cost increases by 25 % but the selling price remains constant , find out approximately what percentage of the selling price is the profit ?
|
[
{
"content": "in a shop , the profit is 320 % of the cost . if the cost increases by 25 % but the selling price remains constant , find out approximately what percentage of the selling price is the profit ?",
"role": "user"
},
{
"content": "In a store, the profit is 320% of the cost; if the cost increases by 25% but the selling price remains the same, what percentage of the selling price is the profit approximately?",
"role": "assistant"
}
] |
In a store, the profit is 320% of the cost; if the cost increases by 25% but the selling price remains the same, what percentage of the selling price is the profit approximately?
|
in a shop , the profit is 320 % of the cost . if the cost increases by 25 % but the selling price remains constant , find out approximately what percentage of the selling price is the profit ?
|
a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 10 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is :
|
[
{
"content": "a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 10 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is :",
"role": "user"
},
{
"content": "If a person allocates 40% of their income towards food, 25% towards rent, 15% towards entertainment, and 10% towards transportation, and has Rs. 1200 left as savings, what is their monthly salary in rupees?",
"role": "assistant"
}
] |
If a person allocates 40% of their income towards food, 25% towards rent, 15% towards entertainment, and 10% towards transportation, and has Rs. 1200 left as savings, what is their monthly salary in rupees?
|
a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 10 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is :
|
the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is ?
|
[
{
"content": "the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is ?",
"role": "user"
},
{
"content": "What is the total number of workers in the workshop, given the average salary of all workers is Rs. 8000, the average salary of 7 technicians is Rs. 12000, and the average salary of the rest is Rs. 6000?",
"role": "assistant"
}
] |
What is the total number of workers in the workshop, given the average salary of all workers is Rs. 8000, the average salary of 7 technicians is Rs. 12000, and the average salary of the rest is Rs. 6000?
|
the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is ?
|
a student chose a number , multiplied it by 2 , then subtracted 138 from the result and got 108 . what was the number he chose ?
|
[
{
"content": "a student chose a number , multiplied it by 2 , then subtracted 138 from the result and got 108 . what was the number he chose ?",
"role": "user"
},
{
"content": "What number did the student initially select that, when doubled and then reduced by 138, equaled 108?",
"role": "assistant"
}
] |
What number did the student initially select that, when doubled and then reduced by 138, equaled 108?
|
a student chose a number , multiplied it by 2 , then subtracted 138 from the result and got 108 . what was the number he chose ?
|
two numbers are less than third number by 30 % and 37 % respectively . how much percent is the second number less than by the first
|
[
{
"content": "two numbers are less than third number by 30 % and 37 % respectively . how much percent is the second number less than by the first",
"role": "user"
},
{
"content": "Two numbers are 30% and 37% less than a third number, respectively. What percentage less is the second number than the first?",
"role": "assistant"
}
] |
Two numbers are 30% and 37% less than a third number, respectively. What percentage less is the second number than the first?
|
two numbers are less than third number by 30 % and 37 % respectively . how much percent is the second number less than by the first
|
express 30 mps in kmph ?
|
[
{
"content": "express 30 mps in kmph ?",
"role": "user"
},
{
"content": "Convert 30 miles per second into kilometers per hour ?",
"role": "assistant"
}
] |
Convert 30 miles per second into kilometers per hour ?
|
express 30 mps in kmph ?
|
in a group of ducks and cows , the total number of legs are 8 more than twice the no . of heads . find the total no . of buffaloes .
|
[
{
"content": "in a group of ducks and cows , the total number of legs are 8 more than twice the no . of heads . find the total no . of buffaloes .",
"role": "user"
},
{
"content": "In a group of ducks and cows, the total number of legs is 8 more than double the number of heads; what is the total number of buffaloes?",
"role": "assistant"
}
] |
In a group of ducks and cows, the total number of legs is 8 more than double the number of heads; what is the total number of buffaloes?
|
in a group of ducks and cows , the total number of legs are 8 more than twice the no . of heads . find the total no . of buffaloes .
|
a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 5,000 meters of fabric ?
|
[
{
"content": "a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 5,000 meters of fabric ?",
"role": "user"
},
{
"content": "What is the total cost for a merchant to purchase 5,000 meters of fabric at $2 per meter, with a 5% discount on meters 2001-3500 and a 7% discount on meters 3501-5000?",
"role": "assistant"
}
] |
What is the total cost for a merchant to purchase 5,000 meters of fabric at $2 per meter, with a 5% discount on meters 2001-3500 and a 7% discount on meters 3501-5000?
|
a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 5,000 meters of fabric ?
|
if log 8 x + log 8 1 / 6 = 1 / 3 , then the value of x is :
|
[
{
"content": "if log 8 x + log 8 1 / 6 = 1 / 3 , then the value of x is :",
"role": "user"
},
{
"content": "What is the value of x if log 8 x + log 8 1 / 6 = 1 / 3 ?",
"role": "assistant"
}
] |
What is the value of x if log 8 x + log 8 1 / 6 = 1 / 3 ?
|
if log 8 x + log 8 1 / 6 = 1 / 3 , then the value of x is :
|
if the sum of two numbers is 12 and the sum of their squares is 124 , then the product of the numbers is
|
[
{
"content": "if the sum of two numbers is 12 and the sum of their squares is 124 , then the product of the numbers is",
"role": "user"
},
{
"content": "If two numbers add up to 12 and the sum of their squares equals 124, what is their product?",
"role": "assistant"
}
] |
If two numbers add up to 12 and the sum of their squares equals 124, what is their product?
|
if the sum of two numbers is 12 and the sum of their squares is 124 , then the product of the numbers is
|
the ratio between the sale price and the cost price of an article is 8 : 5 . what is the ratio between the profit and the cost price of that article ?
|
[
{
"content": "the ratio between the sale price and the cost price of an article is 8 : 5 . what is the ratio between the profit and the cost price of that article ?",
"role": "user"
},
{
"content": "If an article's sale price to cost price ratio is 8:5, what is the ratio of its profit to cost price?",
"role": "assistant"
}
] |
If an article's sale price to cost price ratio is 8:5, what is the ratio of its profit to cost price?
|
the ratio between the sale price and the cost price of an article is 8 : 5 . what is the ratio between the profit and the cost price of that article ?
|
tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 9 even numbers . his mother immediately worked out the answer . how much had he scored in math ?
|
[
{
"content": "tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 9 even numbers . his mother immediately worked out the answer . how much had he scored in math ?",
"role": "user"
},
{
"content": "Tim came second in math. When his mother asked him for his score, he replied that it was the sum of the first 9 even numbers. His mother quickly calculated the answer. What was Tim's math score?",
"role": "assistant"
}
] |
Tim came second in math. When his mother asked him for his score, he replied that it was the sum of the first 9 even numbers. His mother quickly calculated the answer. What was Tim's math score?
|
tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 9 even numbers . his mother immediately worked out the answer . how much had he scored in math ?
|
in the coordinate plane , points ( x , 1 ) and ( 7 , y ) are on line k . if line k passes through the origin and has slope 1 / 7 , then x - y =
|
[
{
"content": "in the coordinate plane , points ( x , 1 ) and ( 7 , y ) are on line k . if line k passes through the origin and has slope 1 / 7 , then x - y =",
"role": "user"
},
{
"content": "In the coordinate plane, points (x, 1) and (7, y) are on line k. If line k passes through the origin and has a slope of 1/7, what is the value of x - y?",
"role": "assistant"
}
] |
In the coordinate plane, points (x, 1) and (7, y) are on line k. If line k passes through the origin and has a slope of 1/7, what is the value of x - y?
|
in the coordinate plane , points ( x , 1 ) and ( 7 , y ) are on line k . if line k passes through the origin and has slope 1 / 7 , then x - y =
|
find the perimeter and area of the rectangle of length 15 cm and breadth 13 cm .
|
[
{
"content": "find the perimeter and area of the rectangle of length 15 cm and breadth 13 cm .",
"role": "user"
},
{
"content": "What are the perimeter and area of a rectangle with a length of 15 cm and a breadth of 13 cm?",
"role": "assistant"
}
] |
What are the perimeter and area of a rectangle with a length of 15 cm and a breadth of 13 cm?
|
find the perimeter and area of the rectangle of length 15 cm and breadth 13 cm .
|
out of 400 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ?
|
[
{
"content": "out of 400 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ?",
"role": "user"
},
{
"content": "From 400 students, 325 are football players, 175 are cricket players, and 50 participate in neither. What is the number of students who play both sports?",
"role": "assistant"
}
] |
From 400 students, 325 are football players, 175 are cricket players, and 50 participate in neither. What is the number of students who play both sports?
|
out of 400 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ?
|
find the sum of first 20 multiples of 12 .
|
[
{
"content": "find the sum of first 20 multiples of 12 .",
"role": "user"
},
{
"content": "What is the sum of the first 20 multiples of 12?",
"role": "assistant"
}
] |
What is the sum of the first 20 multiples of 12?
|
find the sum of first 20 multiples of 12 .
|
50 men shake hands with each other . maximum no of handshakes without cyclic handshakes .
|
[
{
"content": "50 men shake hands with each other . maximum no of handshakes without cyclic handshakes .",
"role": "user"
},
{
"content": "What is the maximum number of handshakes that can occur among 50 men without any cyclic handshakes?",
"role": "assistant"
}
] |
What is the maximum number of handshakes that can occur among 50 men without any cyclic handshakes?
|
50 men shake hands with each other . maximum no of handshakes without cyclic handshakes .
|
if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 10 minutes ?
|
[
{
"content": "if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 10 minutes ?",
"role": "user"
},
{
"content": "At a rate of one person every 15 seconds, how many people will be added to the population in 10 minutes?",
"role": "assistant"
}
] |
At a rate of one person every 15 seconds, how many people will be added to the population in 10 minutes?
|
if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 10 minutes ?
|
real - estate salesman z is selling a house at a 25 percent discount from its retail price . real - estate salesman x vows to match this price , and then offers an additional 5 percent discount . real - estate salesman y decides to average the prices of salesmen z and x , then offer an additional 30 percent discount . salesman y ' s final price is what fraction of salesman x ' s final price ?
|
[
{
"content": "real - estate salesman z is selling a house at a 25 percent discount from its retail price . real - estate salesman x vows to match this price , and then offers an additional 5 percent discount . real - estate salesman y decides to average the prices of salesmen z and x , then offer an additional 30 percent discount . salesman y ' s final price is what fraction of salesman x ' s final price ?",
"role": "user"
},
{
"content": "What fraction of X's final price is Y's final price after Y averages the prices of X and Z and offers an additional 30 percent discount?",
"role": "assistant"
}
] |
What fraction of X's final price is Y's final price after Y averages the prices of X and Z and offers an additional 30 percent discount?
|
real - estate salesman z is selling a house at a 25 percent discount from its retail price . real - estate salesman x vows to match this price , and then offers an additional 5 percent discount . real - estate salesman y decides to average the prices of salesmen z and x , then offer an additional 30 percent discount . salesman y ' s final price is what fraction of salesman x ' s final price ?
|
if p ( a ) = 3 / 5 and p ( b ) = 2 / 5 , find p ( a n b ) if a and b are independent events .
|
[
{
"content": "if p ( a ) = 3 / 5 and p ( b ) = 2 / 5 , find p ( a n b ) if a and b are independent events .",
"role": "user"
},
{
"content": "If p ( a ) = 3 / 5 and p ( b ) = 2 / 5 , what is p ( a ∩ b ) given that a and b are independent events ?",
"role": "assistant"
}
] |
If p ( a ) = 3 / 5 and p ( b ) = 2 / 5 , what is p ( a ∩ b ) given that a and b are independent events ?
|
if p ( a ) = 3 / 5 and p ( b ) = 2 / 5 , find p ( a n b ) if a and b are independent events .
|
if a certain coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 5 times , what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips ?
|
[
{
"content": "if a certain coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 5 times , what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips ?",
"role": "user"
},
{
"content": "What's the probability of getting heads on the first three flips and tails on the last two, given that a certain coin has a 1/2 chance of landing heads when flipped, and it's flipped 5 times?",
"role": "assistant"
}
] |
What's the probability of getting heads on the first three flips and tails on the last two, given that a certain coin has a 1/2 chance of landing heads when flipped, and it's flipped 5 times?
|
if a certain coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 5 times , what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips ?
|
if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value q of z - x ?
|
[
{
"content": "if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value q of z - x ?",
"role": "user"
},
{
"content": "Given that x is even and y and z are odd, with x < y < z and y - x > 5, what is the smallest possible value for the difference z - x?",
"role": "assistant"
}
] |
Given that x is even and y and z are odd, with x < y < z and y - x > 5, what is the smallest possible value for the difference z - x?
|
if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value q of z - x ?
|
a piece of work can finish by a certain number of men in 100 days . if however , there were 10 men less , it would take 10 days more for the work to be finished . how many men were there originally ?
|
[
{
"content": "a piece of work can finish by a certain number of men in 100 days . if however , there were 10 men less , it would take 10 days more for the work to be finished . how many men were there originally ?",
"role": "user"
},
{
"content": "How many men were originally there if the work can be completed by a certain number of men in 100 days, but would take 10 more days with 10 men less?",
"role": "assistant"
}
] |
How many men were originally there if the work can be completed by a certain number of men in 100 days, but would take 10 more days with 10 men less?
|
a piece of work can finish by a certain number of men in 100 days . if however , there were 10 men less , it would take 10 days more for the work to be finished . how many men were there originally ?
|
how many seconds will a train 150 meters long take to cross a bridge 200 meters long if the speed of the train is 54 kmph ?
|
[
{
"content": "how many seconds will a train 150 meters long take to cross a bridge 200 meters long if the speed of the train is 54 kmph ?",
"role": "user"
},
{
"content": "What's the time taken by a 150-meter-long train to cross a 200-meter bridge at a speed of 54 kmph?",
"role": "assistant"
}
] |
What's the time taken by a 150-meter-long train to cross a 200-meter bridge at a speed of 54 kmph?
|
how many seconds will a train 150 meters long take to cross a bridge 200 meters long if the speed of the train is 54 kmph ?
|
an error 6 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ?
|
[
{
"content": "an error 6 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ?",
"role": "user"
},
{
"content": "If there's a 6% error in measuring the side of a square, what's the resulting percentage error in the square's calculated area?",
"role": "assistant"
}
] |
If there's a 6% error in measuring the side of a square, what's the resulting percentage error in the square's calculated area?
|
an error 6 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ?
|
liz drove from point a to point b at 40 km / h . on her way back she drove at 50 km / h and therefore her way back lasted one hour less . what is the distance ( in km ) between a and b ?
|
[
{
"content": "liz drove from point a to point b at 40 km / h . on her way back she drove at 50 km / h and therefore her way back lasted one hour less . what is the distance ( in km ) between a and b ?",
"role": "user"
},
{
"content": "What is the distance in km between points A and B that Liz traveled",
"role": "assistant"
}
] |
What is the distance in km between points A and B that Liz traveled
|
liz drove from point a to point b at 40 km / h . on her way back she drove at 50 km / h and therefore her way back lasted one hour less . what is the distance ( in km ) between a and b ?
|
uncle bruce is baking chocolate chip cookies . he has 36 ounces of dough ( with no chocolate ) and 10 ounces of chocolate . how much chocolate is left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate ?
|
[
{
"content": "uncle bruce is baking chocolate chip cookies . he has 36 ounces of dough ( with no chocolate ) and 10 ounces of chocolate . how much chocolate is left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the given text:\n\nUncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (without chocolate) and 10 ounces of chocolate. How much chocolate remains if he uses all the dough, but only wants the cookies to be 20% chocolate?",
"role": "assistant"
}
] |
Here's a paraphrased version of the given text:
Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (without chocolate) and 10 ounces of chocolate. How much chocolate remains if he uses all the dough, but only wants the cookies to be 20% chocolate?
|
uncle bruce is baking chocolate chip cookies . he has 36 ounces of dough ( with no chocolate ) and 10 ounces of chocolate . how much chocolate is left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate ?
|
the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 75 percent of a , and m equals b decreased by 60 percent of b , what is the value of m / x ?
|
[
{
"content": "the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 75 percent of a , and m equals b decreased by 60 percent of b , what is the value of m / x ?",
"role": "user"
},
{
"content": "If a is 4x and b is 5x, and x is a increased by 75%, and m is b decreased by 60%, what is the value of m / x?",
"role": "assistant"
}
] |
If a is 4x and b is 5x, and x is a increased by 75%, and m is b decreased by 60%, what is the value of m / x?
|
the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 75 percent of a , and m equals b decreased by 60 percent of b , what is the value of m / x ?
|
in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 700 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 2,100 higher that m , then what percentage of apartments in the building are two - bedroom apartments ?
|
[
{
"content": "in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 700 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 2,100 higher that m , then what percentage of apartments in the building are two - bedroom apartments ?",
"role": "user"
},
{
"content": "In a certain apartment complex, there are one-bedroom and two-bedroom units. Rental prices vary, but on average, two-bedroom units cost more than one-bedroom units. Let M be the average rent for all units. If M is $700 higher than the average rent for one-bedroom units, and two-bedroom units are $2,100 higher than M, what percentage of units are two-bedroom apartments?",
"role": "assistant"
}
] |
In a certain apartment complex, there are one-bedroom and two-bedroom units. Rental prices vary, but on average, two-bedroom units cost more than one-bedroom units. Let M be the average rent for all units. If M is $700 higher than the average rent for one-bedroom units, and two-bedroom units are $2,100 higher than M, what percentage of units are two-bedroom apartments?
|
in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 700 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 2,100 higher that m , then what percentage of apartments in the building are two - bedroom apartments ?
|
the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland , which is 480 miles away . the pilot recognizes that the current engine , which can fly only 8 miles per gallon , will not get him there . by how many miles per gallon must the aircraft ’ s fuel efficiency be improved to make the flight to cleveland possible ?
|
[
{
"content": "the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland , which is 480 miles away . the pilot recognizes that the current engine , which can fly only 8 miles per gallon , will not get him there . by how many miles per gallon must the aircraft ’ s fuel efficiency be improved to make the flight to cleveland possible ?",
"role": "user"
},
{
"content": "What increase in miles per gallon is required for the plane to reach Cleveland, 480 miles away, with its 40-gallon fuel tank and current 8 miles-per-gallon engine?",
"role": "assistant"
}
] |
What increase in miles per gallon is required for the plane to reach Cleveland, 480 miles away, with its 40-gallon fuel tank and current 8 miles-per-gallon engine?
|
the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland , which is 480 miles away . the pilot recognizes that the current engine , which can fly only 8 miles per gallon , will not get him there . by how many miles per gallon must the aircraft ’ s fuel efficiency be improved to make the flight to cleveland possible ?
|
the average age of 22 students in a group is 12 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?
|
[
{
"content": "the average age of 22 students in a group is 12 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?",
"role": "user"
},
{
"content": "How old is the teacher in years, given that the average age of 22 students is 12 and the average increases by 1 when the teacher's age is added?",
"role": "assistant"
}
] |
How old is the teacher in years, given that the average age of 22 students is 12 and the average increases by 1 when the teacher's age is added?
|
the average age of 22 students in a group is 12 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?
|
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