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a company pays 20.5 % dividend to its investors . if an investor buys rs . 50 shares and gets 25 % on investment , at what price did the investor buy the shares ?
[ { "content": "a company pays 20.5 % dividend to its investors . if an investor buys rs . 50 shares and gets 25 % on investment , at what price did the investor buy the shares ?", "role": "user" }, { "content": "At what price did the investor purchase the shares if they bought 50 rupee shares and received a 25% return on investment, given that the company distributes a 20.5% dividend to its investors?", "role": "assistant" } ]
At what price did the investor purchase the shares if they bought 50 rupee shares and received a 25% return on investment, given that the company distributes a 20.5% dividend to its investors?
a company pays 20.5 % dividend to its investors . if an investor buys rs . 50 shares and gets 25 % on investment , at what price did the investor buy the shares ?
how many diagonals does a 59 - sided convex polygon have ?
[ { "content": "how many diagonals does a 59 - sided convex polygon have ?", "role": "user" }, { "content": "What is the number of diagonals in a 59-sided convex polygon?", "role": "assistant" } ]
What is the number of diagonals in a 59-sided convex polygon?
how many diagonals does a 59 - sided convex polygon have ?
a shopkeeper sold an book offering a discount of 5 % and earned a profit of 33 % . what would have been the percentage of profit earned if no discount was offered ?
[ { "content": "a shopkeeper sold an book offering a discount of 5 % and earned a profit of 33 % . what would have been the percentage of profit earned if no discount was offered ?", "role": "user" }, { "content": "If no discount was offered, what would have been the shopkeeper's percentage profit on the book sale?", "role": "assistant" } ]
If no discount was offered, what would have been the shopkeeper's percentage profit on the book sale?
a shopkeeper sold an book offering a discount of 5 % and earned a profit of 33 % . what would have been the percentage of profit earned if no discount was offered ?
calculate how long it will take a swimmer to swim a distance of 10 km against the current of a river which flows at 3 km / hr , given that he can swim in still water at 5 km / h
[ { "content": "calculate how long it will take a swimmer to swim a distance of 10 km against the current of a river which flows at 3 km / hr , given that he can swim in still water at 5 km / h", "role": "user" }, { "content": "Here's a paraphrased version of the given text, preserving its structure and semantics:\n\n\"Determine the time it takes for a swimmer to cover 10 km against a river's 3 km/hr current, knowing their still-water speed is 5 km/h.\"", "role": "assistant" } ]
Here's a paraphrased version of the given text, preserving its structure and semantics: "Determine the time it takes for a swimmer to cover 10 km against a river's 3 km/hr current, knowing their still-water speed is 5 km/h."
calculate how long it will take a swimmer to swim a distance of 10 km against the current of a river which flows at 3 km / hr , given that he can swim in still water at 5 km / h
a computer store offers employees a 30 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 900 dollars and marked up the price 30 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 30 % off retail price ) as opposed to the final retail price .
[ { "content": "a computer store offers employees a 30 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 900 dollars and marked up the price 30 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 30 % off retail price ) as opposed to the final retail price .", "role": "user" }, { "content": "How much would a staff member save if they bought the computer at a 30% employee discount instead of the marked-up retail price, considering the store bought it for $900 and increased the price by 30%?", "role": "assistant" } ]
How much would a staff member save if they bought the computer at a 30% employee discount instead of the marked-up retail price, considering the store bought it for $900 and increased the price by 30%?
a computer store offers employees a 30 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 900 dollars and marked up the price 30 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 30 % off retail price ) as opposed to the final retail price .
the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 6360 , what is the length of the plot in metres ?
[ { "content": "the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 6360 , what is the length of the plot in metres ?", "role": "user" }, { "content": "What is the length in metres of a rectangular plot that is 20 metres longer than its width, given that fencing the plot costs Rs. 6360 at Rs. 26.50 per metre?", "role": "assistant" } ]
What is the length in metres of a rectangular plot that is 20 metres longer than its width, given that fencing the plot costs Rs. 6360 at Rs. 26.50 per metre?
the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 6360 , what is the length of the plot in metres ?
each factor of 240 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 15 ?
[ { "content": "each factor of 240 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 15 ?", "role": "user" }, { "content": "What is the probability that a randomly selected ball from a jar, where each factor of 240 is inscribed on its own plastic ball, is a multiple of 15?", "role": "assistant" } ]
What is the probability that a randomly selected ball from a jar, where each factor of 240 is inscribed on its own plastic ball, is a multiple of 15?
each factor of 240 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 15 ?
what is the least common multiple of 15 , 22 and 24 ?
[ { "content": "what is the least common multiple of 15 , 22 and 24 ?", "role": "user" }, { "content": "What is the smallest number that 15, 22, and 24 can all divide into evenly?", "role": "assistant" } ]
What is the smallest number that 15, 22, and 24 can all divide into evenly?
what is the least common multiple of 15 , 22 and 24 ?
a team of 8 persons joins in a shooting competition . the best marksman scored 85 points . if he had scored 92 points , the average score for the team would have been 84 . the number of points , the team scored was :
[ { "content": "a team of 8 persons joins in a shooting competition . the best marksman scored 85 points . if he had scored 92 points , the average score for the team would have been 84 . the number of points , the team scored was :", "role": "user" }, { "content": "A team of 8 persons participates in a shooting competition. The top shooter achieved 85 points. If the top shooter had scored 92 points, the team's average score would have been 84. What was the total score of the team?", "role": "assistant" } ]
A team of 8 persons participates in a shooting competition. The top shooter achieved 85 points. If the top shooter had scored 92 points, the team's average score would have been 84. What was the total score of the team?
a team of 8 persons joins in a shooting competition . the best marksman scored 85 points . if he had scored 92 points , the average score for the team would have been 84 . the number of points , the team scored was :
two integers are in the ratio of 1 to 3 . if 10 is added to the smaller number , the ratio becomes 2 to 1 . find the larger integer .
[ { "content": "two integers are in the ratio of 1 to 3 . if 10 is added to the smaller number , the ratio becomes 2 to 1 . find the larger integer .", "role": "user" }, { "content": "Find the larger integer when two integers are in a 1:3 ratio, but adding 10 to the smaller integer changes the ratio to 2:1.", "role": "assistant" } ]
Find the larger integer when two integers are in a 1:3 ratio, but adding 10 to the smaller integer changes the ratio to 2:1.
two integers are in the ratio of 1 to 3 . if 10 is added to the smaller number , the ratio becomes 2 to 1 . find the larger integer .
at 6 ′ o a clock ticks 6 times . the time between first and last ticks is 20 seconds . how long does it tick at 12 ′ o clock
[ { "content": "at 6 ′ o a clock ticks 6 times . the time between first and last ticks is 20 seconds . how long does it tick at 12 ′ o clock", "role": "user" }, { "content": "At 6 o'clock it ticks 6 times, with 20 seconds between the first and last ticks; how long does it tick at 12 o'clock", "role": "assistant" } ]
At 6 o'clock it ticks 6 times, with 20 seconds between the first and last ticks; how long does it tick at 12 o'clock
at 6 ′ o a clock ticks 6 times . the time between first and last ticks is 20 seconds . how long does it tick at 12 ′ o clock
the price of a t . v . set worth rs . 30000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?
[ { "content": "the price of a t . v . set worth rs . 30000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?", "role": "user" }, { "content": "What is the amount of the final installment, including interest, for a TV set priced at Rs. 30,000, paid in 20 installments of Rs. 1,000 each with a 6% annual interest rate and the first installment paid at the time of purchase?", "role": "assistant" } ]
What is the amount of the final installment, including interest, for a TV set priced at Rs. 30,000, paid in 20 installments of Rs. 1,000 each with a 6% annual interest rate and the first installment paid at the time of purchase?
the price of a t . v . set worth rs . 30000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?
55 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be :
[ { "content": "55 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be :", "role": "user" }, { "content": "The length of the wire in metres when 55 cubic centimetres of silver is drawn into a wire 1 mm in diameter is :", "role": "assistant" } ]
The length of the wire in metres when 55 cubic centimetres of silver is drawn into a wire 1 mm in diameter is :
55 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be :
a metallic sheet is of rectangular shape with dimensions 48 m x 34 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is :
[ { "content": "a metallic sheet is of rectangular shape with dimensions 48 m x 34 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is :", "role": "user" }, { "content": "What is the volume of the box in cubic meters if a metallic sheet of 48 m by 34 m has a square of 8 m cut from each corner to form an open box", "role": "assistant" } ]
What is the volume of the box in cubic meters if a metallic sheet of 48 m by 34 m has a square of 8 m cut from each corner to form an open box
a metallic sheet is of rectangular shape with dimensions 48 m x 34 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is :
a train speeds past a pole in 15 seconds and a platform 120 meters long in 25 seconds . what is the length of the train ( in meters ) ?
[ { "content": "a train speeds past a pole in 15 seconds and a platform 120 meters long in 25 seconds . what is the length of the train ( in meters ) ?", "role": "user" }, { "content": "What is the train's length in meters, given that it takes 15 seconds to pass a pole and 25 seconds to pass a 120-meter platform?", "role": "assistant" } ]
What is the train's length in meters, given that it takes 15 seconds to pass a pole and 25 seconds to pass a 120-meter platform?
a train speeds past a pole in 15 seconds and a platform 120 meters long in 25 seconds . what is the length of the train ( in meters ) ?
a certain fruit stand sold apples for $ 0.70 each and guava for $ 0.50 each . if a customer purchased both apples and bananas from the stand for a total of $ 6.30 , what total number of apples and bananas did the customer purchase ?
[ { "content": "a certain fruit stand sold apples for $ 0.70 each and guava for $ 0.50 each . if a customer purchased both apples and bananas from the stand for a total of $ 6.30 , what total number of apples and bananas did the customer purchase ?", "role": "user" }, { "content": "A fruit stand was selling apples at $0.70 each and guavas at $0.50 each. If a customer bought a mix of apples and bananas for a total of $6.30, how many of each fruit did they buy in total?", "role": "assistant" } ]
A fruit stand was selling apples at $0.70 each and guavas at $0.50 each. If a customer bought a mix of apples and bananas for a total of $6.30, how many of each fruit did they buy in total?
a certain fruit stand sold apples for $ 0.70 each and guava for $ 0.50 each . if a customer purchased both apples and bananas from the stand for a total of $ 6.30 , what total number of apples and bananas did the customer purchase ?
if 25 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ?
[ { "content": "if 25 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ?", "role": "user" }, { "content": "What is the number of students at the college who are not taking biology classes if 25% of 880 students are enrolled in biology?", "role": "assistant" } ]
What is the number of students at the college who are not taking biology classes if 25% of 880 students are enrolled in biology?
if 25 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ?
find large number from below question the difference of two numbers is 1380 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder
[ { "content": "find large number from below question the difference of two numbers is 1380 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder", "role": "user" }, { "content": "What is the larger number given that the difference between the two numbers is 1380, and when the larger number is divided by the smaller, the quotient is 6 and the remainder is 15?", "role": "assistant" } ]
What is the larger number given that the difference between the two numbers is 1380, and when the larger number is divided by the smaller, the quotient is 6 and the remainder is 15?
find large number from below question the difference of two numbers is 1380 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder
4 dice are thrown simultaneously on the board . find the probability which show the same face ?
[ { "content": "4 dice are thrown simultaneously on the board . find the probability which show the same face ?", "role": "user" }, { "content": "What is the probability that 4 dice thrown simultaneously show the same face?", "role": "assistant" } ]
What is the probability that 4 dice thrown simultaneously show the same face?
4 dice are thrown simultaneously on the board . find the probability which show the same face ?
tough and tricky questions : word problems . operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 8 , when a # b = 100 ?
[ { "content": "tough and tricky questions : word problems . operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 8 , when a # b = 100 ?", "role": "user" }, { "content": "Here is a paraphrased version of the text:\n\nChallenging math problems: word problems. Operation # is defined as: a # b = 4a^2 + 4b^2 + 8ab for all non-negative integers. What is the value of (a + b) + 8, when a # b equals 100?", "role": "assistant" } ]
Here is a paraphrased version of the text: Challenging math problems: word problems. Operation # is defined as: a # b = 4a^2 + 4b^2 + 8ab for all non-negative integers. What is the value of (a + b) + 8, when a # b equals 100?
tough and tricky questions : word problems . operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 8 , when a # b = 100 ?
if an integer n is to be chosen at random from the integers 1 to 88 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ?
[ { "content": "if an integer n is to be chosen at random from the integers 1 to 88 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ?", "role": "user" }, { "content": "What is the probability that the product of three consecutive integers, starting with a randomly chosen integer n from 1 to 88, is divisible by 8?", "role": "assistant" } ]
What is the probability that the product of three consecutive integers, starting with a randomly chosen integer n from 1 to 88, is divisible by 8?
if an integer n is to be chosen at random from the integers 1 to 88 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ?
according to the directions on the can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 3 cans of water to make orange juice . how many 12 ounces cans of the concentrate are required to prepare 240 6 ounces servings of orange juice ?
[ { "content": "according to the directions on the can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 3 cans of water to make orange juice . how many 12 ounces cans of the concentrate are required to prepare 240 6 ounces servings of orange juice ?", "role": "user" }, { "content": "To make orange juice, the instructions on the frozen orange juice concentrate can state that 1 can of concentrate should be mixed with 3 cans of water. How many 12-ounce cans of concentrate are needed to make 240 6-ounce servings of orange juice?", "role": "assistant" } ]
To make orange juice, the instructions on the frozen orange juice concentrate can state that 1 can of concentrate should be mixed with 3 cans of water. How many 12-ounce cans of concentrate are needed to make 240 6-ounce servings of orange juice?
according to the directions on the can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 3 cans of water to make orange juice . how many 12 ounces cans of the concentrate are required to prepare 240 6 ounces servings of orange juice ?
mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 38400 , how much amount per month would he have spent on clothes and transport ?
[ { "content": "mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 38400 , how much amount per month would he have spent on clothes and transport ?", "role": "user" }, { "content": "What amount would Mr. Yadav have spent monthly on clothes and transport if he saves the remaining amount after spending 60% on consumables and 50% of the rest on clothes and transport, given his yearly savings were 38400?", "role": "assistant" } ]
What amount would Mr. Yadav have spent monthly on clothes and transport if he saves the remaining amount after spending 60% on consumables and 50% of the rest on clothes and transport, given his yearly savings were 38400?
mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 38400 , how much amount per month would he have spent on clothes and transport ?
daniel went to a shop and bought things worth rs . 50 , out of which 90 paise went on sales tax on taxable purchases . if the tax rate was 15 % , then what was the cost of the tax free items ?
[ { "content": "daniel went to a shop and bought things worth rs . 50 , out of which 90 paise went on sales tax on taxable purchases . if the tax rate was 15 % , then what was the cost of the tax free items ?", "role": "user" }, { "content": "What was the cost of the tax-free items if Daniel spent Rs. 50 at a shop, 90 paise of which went to sales tax on taxable items at a 15% tax rate?", "role": "assistant" } ]
What was the cost of the tax-free items if Daniel spent Rs. 50 at a shop, 90 paise of which went to sales tax on taxable items at a 15% tax rate?
daniel went to a shop and bought things worth rs . 50 , out of which 90 paise went on sales tax on taxable purchases . if the tax rate was 15 % , then what was the cost of the tax free items ?
( 7 + 7 + 7 ÷ 7 ) / ( 5 + 5 + 5 ÷ 5 ) = ?
[ { "content": "( 7 + 7 + 7 ÷ 7 ) / ( 5 + 5 + 5 ÷ 5 ) = ?", "role": "user" }, { "content": "What is ( 7 + 7 + 7 ÷ 7 ) / ( 5 + 5 + 5 ÷ 5 ) equal to?", "role": "assistant" } ]
What is ( 7 + 7 + 7 ÷ 7 ) / ( 5 + 5 + 5 ÷ 5 ) equal to?
( 7 + 7 + 7 ÷ 7 ) / ( 5 + 5 + 5 ÷ 5 ) = ?
if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 3410 , r will receive
[ { "content": "if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 3410 , r will receive", "role": "user" }, { "content": "If 4 times P's capital equals 6 times Q's capital equals 10 times R's capital, then out of the total profit of Rs 3410, what will R receive?", "role": "assistant" } ]
If 4 times P's capital equals 6 times Q's capital equals 10 times R's capital, then out of the total profit of Rs 3410, what will R receive?
if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 3410 , r will receive
running at their respective constant rates , machine x takes 2 days longer to produce w widgets than machine y . at these rates , if the two machines together produce 5 / 4 w widgets in 3 days , how many days would it take machine x alone to produce 1 w widgets ?
[ { "content": "running at their respective constant rates , machine x takes 2 days longer to produce w widgets than machine y . at these rates , if the two machines together produce 5 / 4 w widgets in 3 days , how many days would it take machine x alone to produce 1 w widgets ?", "role": "user" }, { "content": "Working at their respective constant rates, machine X requires 2 more days to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would machine X take to produce 1 w widgets on its own?", "role": "assistant" } ]
Working at their respective constant rates, machine X requires 2 more days to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would machine X take to produce 1 w widgets on its own?
running at their respective constant rates , machine x takes 2 days longer to produce w widgets than machine y . at these rates , if the two machines together produce 5 / 4 w widgets in 3 days , how many days would it take machine x alone to produce 1 w widgets ?
a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 175 , how many coins of each type are there ?
[ { "content": "a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 175 , how many coins of each type are there ?", "role": "user" }, { "content": "How many 1-rupee, 50-paise, and 25-paise coins are in the bag if each type has an equal number and the total value is 175?", "role": "assistant" } ]
How many 1-rupee, 50-paise, and 25-paise coins are in the bag if each type has an equal number and the total value is 175?
a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 175 , how many coins of each type are there ?
x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 6 . if x invested rs . 5000 . the amount invested by y is
[ { "content": "x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 6 . if x invested rs . 5000 . the amount invested by y is", "role": "user" }, { "content": "x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 6 . if x invested rs . 5000 . the amount invested by y is", "role": "assistant" } ]
x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 6 . if x invested rs . 5000 . the amount invested by y is
x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 6 . if x invested rs . 5000 . the amount invested by y is
if 9 a - b = 10 b + 70 = - 12 b - 2 a , what is the value of 9 a - 11 b ?
[ { "content": "if 9 a - b = 10 b + 70 = - 12 b - 2 a , what is the value of 9 a - 11 b ?", "role": "user" }, { "content": "What is the value of 9a - 11b if 9a - b = 10b + 70 = -12b - 2a?", "role": "assistant" } ]
What is the value of 9a - 11b if 9a - b = 10b + 70 = -12b - 2a?
if 9 a - b = 10 b + 70 = - 12 b - 2 a , what is the value of 9 a - 11 b ?
the largest number of six digits
[ { "content": "the largest number of six digits", "role": "user" }, { "content": "the highest six-digit number", "role": "assistant" } ]
the highest six-digit number
the largest number of six digits
a 600 meter long train crosses a signal post in 40 seconds . how long will it take to cross a 3 kilometer long bridge , at the same speed ?
[ { "content": "a 600 meter long train crosses a signal post in 40 seconds . how long will it take to cross a 3 kilometer long bridge , at the same speed ?", "role": "user" }, { "content": "At what time will a 600 meter long train cross a 3 kilometer long bridge at the same speed it took to pass a signal post in 40 seconds .", "role": "assistant" } ]
At what time will a 600 meter long train cross a 3 kilometer long bridge at the same speed it took to pass a signal post in 40 seconds .
a 600 meter long train crosses a signal post in 40 seconds . how long will it take to cross a 3 kilometer long bridge , at the same speed ?
what is the least possible value of x ^ 2 - 15 where x is a positive number .
[ { "content": "what is the least possible value of x ^ 2 - 15 where x is a positive number .", "role": "user" }, { "content": "What is the minimum value of x^2 - 15 for a positive x ?", "role": "assistant" } ]
What is the minimum value of x^2 - 15 for a positive x ?
what is the least possible value of x ^ 2 - 15 where x is a positive number .
little john had $ 16.10 . he spent $ 3.25 on sweets and gave to his two friends $ 2.20 each . how much money was left ?
[ { "content": "little john had $ 16.10 . he spent $ 3.25 on sweets and gave to his two friends $ 2.20 each . how much money was left ?", "role": "user" }, { "content": "What amount of money did little john have left after spending $ 3.25 on sweets and giving his two friends $ 2.20 each", "role": "assistant" } ]
What amount of money did little john have left after spending $ 3.25 on sweets and giving his two friends $ 2.20 each
little john had $ 16.10 . he spent $ 3.25 on sweets and gave to his two friends $ 2.20 each . how much money was left ?
3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 10 pumps work to empty the tank in 1 day ?
[ { "content": "3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 10 pumps work to empty the tank in 1 day ?", "role": "user" }, { "content": "If 3 pumps working 8 hours a day can empty a tank in 2 days , how many hours a day are needed for 10 pumps to empty the tank in 1 day ?", "role": "assistant" } ]
If 3 pumps working 8 hours a day can empty a tank in 2 days , how many hours a day are needed for 10 pumps to empty the tank in 1 day ?
3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 10 pumps work to empty the tank in 1 day ?
the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area e of that hemisphere ?
[ { "content": "the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area e of that hemisphere ?", "role": "user" }, { "content": "Given the surface area of a sphere is 4 π r 2 , with r being the radius of the sphere , what is the surface area e of a hemisphere whose base area is 3 ?", "role": "assistant" } ]
Given the surface area of a sphere is 4 π r 2 , with r being the radius of the sphere , what is the surface area e of a hemisphere whose base area is 3 ?
the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area e of that hemisphere ?
5354 x 51 = ?
[ { "content": "5354 x 51 = ?", "role": "user" }, { "content": "What is 5354 multiplied by 51?", "role": "assistant" } ]
What is 5354 multiplied by 51?
5354 x 51 = ?
if n is a positive integer such that n ! / ( n - 2 ) ! = 342 , find n .
[ { "content": "if n is a positive integer such that n ! / ( n - 2 ) ! = 342 , find n .", "role": "user" }, { "content": "Given n is a positive integer and n ! / ( n - 2 ) ! = 342 , what is the value of n .", "role": "assistant" } ]
Given n is a positive integer and n ! / ( n - 2 ) ! = 342 , what is the value of n .
if n is a positive integer such that n ! / ( n - 2 ) ! = 342 , find n .
a person has 100 $ in 10 $ and 5 $ bill . if the 5 $ bill quantity is twice that of 10 $ bill . what is quantity of 10 $ .
[ { "content": "a person has 100 $ in 10 $ and 5 $ bill . if the 5 $ bill quantity is twice that of 10 $ bill . what is quantity of 10 $ .", "role": "user" }, { "content": "If a person has $100 in $10 and $5 bills, with twice as many $5 bills as $10 bills, how many $10 bills are there?", "role": "assistant" } ]
If a person has $100 in $10 and $5 bills, with twice as many $5 bills as $10 bills, how many $10 bills are there?
a person has 100 $ in 10 $ and 5 $ bill . if the 5 $ bill quantity is twice that of 10 $ bill . what is quantity of 10 $ .
for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 5 of whom are females , by how much does the index for the females exceed the index for the males in the group ?
[ { "content": "for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 5 of whom are females , by how much does the index for the females exceed the index for the males in the group ?", "role": "user" }, { "content": "How much greater is the index for females compared to males in a group of 20 people, 5 of whom are female?", "role": "assistant" } ]
How much greater is the index for females compared to males in a group of 20 people, 5 of whom are female?
for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 5 of whom are females , by how much does the index for the females exceed the index for the males in the group ?
tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 12 meters , and the interior of tank b has a height of 12 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?
[ { "content": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 12 meters , and the interior of tank b has a height of 12 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?", "role": "user" }, { "content": "What percentage is the capacity of tank A of tank B's capacity ?", "role": "assistant" } ]
What percentage is the capacity of tank A of tank B's capacity ?
tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 12 meters , and the interior of tank b has a height of 12 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?
eric throws 2 dice , and his score is the sum of the values shown . sandra throws one dice and her score is the square of the value shown . what is the probabilty that sandras score will be strictly higher than erics score ? ?
[ { "content": "eric throws 2 dice , and his score is the sum of the values shown . sandra throws one dice and her score is the square of the value shown . what is the probabilty that sandras score will be strictly higher than erics score ? ?", "role": "user" }, { "content": "What is the probability that Sandra's squared score from one die exceeds Eric's total score from two dice?", "role": "assistant" } ]
What is the probability that Sandra's squared score from one die exceeds Eric's total score from two dice?
eric throws 2 dice , and his score is the sum of the values shown . sandra throws one dice and her score is the square of the value shown . what is the probabilty that sandras score will be strictly higher than erics score ? ?
if $ 910 are divided between worker a and worker b in the ratio 5 : 9 , what is the share that worker b will get ?
[ { "content": "if $ 910 are divided between worker a and worker b in the ratio 5 : 9 , what is the share that worker b will get ?", "role": "user" }, { "content": "In a $910 division between worker A and worker B in a 5:9 ratio, what amount will worker B receive?", "role": "assistant" } ]
In a $910 division between worker A and worker B in a 5:9 ratio, what amount will worker B receive?
if $ 910 are divided between worker a and worker b in the ratio 5 : 9 , what is the share that worker b will get ?
someone on a skateboard is traveling 8 miles per hour . how many feet does she travel in 5 seconds ? ( 1 mile = 5280 feet )
[ { "content": "someone on a skateboard is traveling 8 miles per hour . how many feet does she travel in 5 seconds ? ( 1 mile = 5280 feet )", "role": "user" }, { "content": "A skateboarder is moving at a speed of 8 miles per hour. How many feet will she cover in 5 seconds (1 mile = 5280 feet)?", "role": "assistant" } ]
A skateboarder is moving at a speed of 8 miles per hour. How many feet will she cover in 5 seconds (1 mile = 5280 feet)?
someone on a skateboard is traveling 8 miles per hour . how many feet does she travel in 5 seconds ? ( 1 mile = 5280 feet )
a car traveling at a certain constant speed takes 30 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 30 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?
[ { "content": "a car traveling at a certain constant speed takes 30 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 30 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", "role": "user" }, { "content": "At what speed is the car traveling if it takes 30 seconds longer to cover 1 kilometer than it would at 30 kilometers per hour?", "role": "assistant" } ]
At what speed is the car traveling if it takes 30 seconds longer to cover 1 kilometer than it would at 30 kilometers per hour?
a car traveling at a certain constant speed takes 30 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 30 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?
of the families in city x in 1998 , 30 percent owned a personal computer . the number of families in city x owning a computer in 2002 was 20 percent greater than it was in 1998 , and the total number of families in city x was 8 percent greater in 2002 than it was in 1998 . what percent of the families in city x owned a personal computer in 2002 ?
[ { "content": "of the families in city x in 1998 , 30 percent owned a personal computer . the number of families in city x owning a computer in 2002 was 20 percent greater than it was in 1998 , and the total number of families in city x was 8 percent greater in 2002 than it was in 1998 . what percent of the families in city x owned a personal computer in 2002 ?", "role": "user" }, { "content": "In city X, what was the percentage of families that owned a personal computer in 2002?", "role": "assistant" } ]
In city X, what was the percentage of families that owned a personal computer in 2002?
of the families in city x in 1998 , 30 percent owned a personal computer . the number of families in city x owning a computer in 2002 was 20 percent greater than it was in 1998 , and the total number of families in city x was 8 percent greater in 2002 than it was in 1998 . what percent of the families in city x owned a personal computer in 2002 ?
recently , i decided to walk down an escalator of a tube station . i did some quick calculation in my mind . i found that if i walk down 20 ` ` 6 steps , i require thirty seconds to reach the bottom . however , if i am able to step down thirty ` ` 4 stairs , i would only require eighteen seconds to get to the bottom . if the time is measured from the moment the top step begins to descend to the time i step off the last step at the bottom ?
[ { "content": "recently , i decided to walk down an escalator of a tube station . i did some quick calculation in my mind . i found that if i walk down 20 ` ` 6 steps , i require thirty seconds to reach the bottom . however , if i am able to step down thirty ` ` 4 stairs , i would only require eighteen seconds to get to the bottom . if the time is measured from the moment the top step begins to descend to the time i step off the last step at the bottom ?", "role": "user" }, { "content": "What's the time difference in reaching the bottom of a tube station's escalator if I walk down 20 steps at 6 steps per second versus 30 steps at 4 steps per second, from the moment the top step starts descending to stepping off the last step at the bottom?", "role": "assistant" } ]
What's the time difference in reaching the bottom of a tube station's escalator if I walk down 20 steps at 6 steps per second versus 30 steps at 4 steps per second, from the moment the top step starts descending to stepping off the last step at the bottom?
recently , i decided to walk down an escalator of a tube station . i did some quick calculation in my mind . i found that if i walk down 20 ` ` 6 steps , i require thirty seconds to reach the bottom . however , if i am able to step down thirty ` ` 4 stairs , i would only require eighteen seconds to get to the bottom . if the time is measured from the moment the top step begins to descend to the time i step off the last step at the bottom ?
if y > 0 , ( 2 y ) / 20 + ( 3 y ) / 10 is what percent of y ?
[ { "content": "if y > 0 , ( 2 y ) / 20 + ( 3 y ) / 10 is what percent of y ?", "role": "user" }, { "content": "What percentage of y is ( 2 y ) / 20 + ( 3 y ) / 10 if y > 0 ?", "role": "assistant" } ]
What percentage of y is ( 2 y ) / 20 + ( 3 y ) / 10 if y > 0 ?
if y > 0 , ( 2 y ) / 20 + ( 3 y ) / 10 is what percent of y ?
at a loading dock , each worker on the night crew loaded 2 / 3 as many boxes as each worker on the day crew . if the night crew has 5 / 6 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ?
[ { "content": "at a loading dock , each worker on the night crew loaded 2 / 3 as many boxes as each worker on the day crew . if the night crew has 5 / 6 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ?", "role": "user" }, { "content": "At a loading dock, what fraction of all the boxes loaded by the day and night crews were loaded by the day crew, given that each night crew worker loaded 2/3 as many boxes as each day crew worker, and the night crew has 5/6 as many workers as the day crew?", "role": "assistant" } ]
At a loading dock, what fraction of all the boxes loaded by the day and night crews were loaded by the day crew, given that each night crew worker loaded 2/3 as many boxes as each day crew worker, and the night crew has 5/6 as many workers as the day crew?
at a loading dock , each worker on the night crew loaded 2 / 3 as many boxes as each worker on the day crew . if the night crew has 5 / 6 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ?
if a train , travelling at a speed of 90 kmph , crosses a pole in 6 sec , then the length of train is ?
[ { "content": "if a train , travelling at a speed of 90 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 90 kmph if it crosses a pole in 6 seconds?", "role": "assistant" } ]
What is the length of the train traveling at 90 kmph if it crosses a pole in 6 seconds?
if a train , travelling at a speed of 90 kmph , crosses a pole in 6 sec , then the length of train is ?
find the number of different prime factors of 25650
[ { "content": "find the number of different prime factors of 25650", "role": "user" }, { "content": "What is the count of distinct prime factors of 25650?", "role": "assistant" } ]
What is the count of distinct prime factors of 25650?
find the number of different prime factors of 25650
the mean of 50 observations was 36 . it was found later that an observation 58 was wrongly taken as 43 . the corrected new mean is ?
[ { "content": "the mean of 50 observations was 36 . it was found later that an observation 58 was wrongly taken as 43 . the corrected new mean is ?", "role": "user" }, { "content": "What is the corrected mean after changing the wrong observation of 43 to 58 in the set of 50 observations that originally averaged 36?", "role": "assistant" } ]
What is the corrected mean after changing the wrong observation of 43 to 58 in the set of 50 observations that originally averaged 36?
the mean of 50 observations was 36 . it was found later that an observation 58 was wrongly taken as 43 . the corrected new mean is ?
in a school of 450 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?
[ { "content": "in a school of 450 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?", "role": "user" }, { "content": "In a school with 450 boys, 44% are Muslim, 28% Hindu, and 10% Sikh. What percentage of the remaining students belong to other communities?", "role": "assistant" } ]
In a school with 450 boys, 44% are Muslim, 28% Hindu, and 10% Sikh. What percentage of the remaining students belong to other communities?
in a school of 450 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?
what is the remainder when 1250 * 1040 * 1057 * 1145 is divided by 32 ?
[ { "content": "what is the remainder when 1250 * 1040 * 1057 * 1145 is divided by 32 ?", "role": "user" }, { "content": "What is the remainder of 1250 * 1040 * 1057 * 1145 when divided by 32 ?", "role": "assistant" } ]
What is the remainder of 1250 * 1040 * 1057 * 1145 when divided by 32 ?
what is the remainder when 1250 * 1040 * 1057 * 1145 is divided by 32 ?
if the selling price of 80 articles is equal to the cost price of 40 articles , then the loss or gain percent is :
[ { "content": "if the selling price of 80 articles is equal to the cost price of 40 articles , then the loss or gain percent is :", "role": "user" }, { "content": "What is the percentage of loss or gain when the selling price of 80 items equals the cost price of 40 items?", "role": "assistant" } ]
What is the percentage of loss or gain when the selling price of 80 items equals the cost price of 40 items?
if the selling price of 80 articles is equal to the cost price of 40 articles , then the loss or gain percent is :
find the volume and surface area of a cuboid 16 m long , 14 m broad and 7 m high .
[ { "content": "find the volume and surface area of a cuboid 16 m long , 14 m broad and 7 m high .", "role": "user" }, { "content": "What are the volume and surface area of a cuboid measuring 16 m in length, 14 m in width, and 7 m in height?", "role": "assistant" } ]
What are the volume and surface area of a cuboid measuring 16 m in length, 14 m in width, and 7 m in height?
find the volume and surface area of a cuboid 16 m long , 14 m broad and 7 m high .
for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 24000 , my total savings for the two - year is
[ { "content": "for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 24000 , my total savings for the two - year is", "role": "user" }, { "content": "Here is a paraphrased version of the text:\n\n\"For two years in a row, my income ratio has been 4:7 and my expenses 3:5. With a 2nd-year income of Rs. 42,000 and 1st-year expenses of Rs. 24,000, what are my total savings for the two-year period?\"", "role": "assistant" } ]
Here is a paraphrased version of the text: "For two years in a row, my income ratio has been 4:7 and my expenses 3:5. With a 2nd-year income of Rs. 42,000 and 1st-year expenses of Rs. 24,000, what are my total savings for the two-year period?"
for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 24000 , my total savings for the two - year is
3 - twentieths of the members of a social club are retirees who are also bridge players , 5 - twentieths of the members are retirees , and one - half of the members are bridge players . if 120 of the members are neither retirees nor bridge players , what is the total number of members in the social club ?
[ { "content": "3 - twentieths of the members of a social club are retirees who are also bridge players , 5 - twentieths of the members are retirees , and one - half of the members are bridge players . if 120 of the members are neither retirees nor bridge players , what is the total number of members in the social club ?", "role": "user" }, { "content": "How many total members are in the social club if 120 members are neither retirees nor bridge players, given that 3/20 of the members are retired bridge players, 5/20 are retirees, and half are bridge players?", "role": "assistant" } ]
How many total members are in the social club if 120 members are neither retirees nor bridge players, given that 3/20 of the members are retired bridge players, 5/20 are retirees, and half are bridge players?
3 - twentieths of the members of a social club are retirees who are also bridge players , 5 - twentieths of the members are retirees , and one - half of the members are bridge players . if 120 of the members are neither retirees nor bridge players , what is the total number of members in the social club ?
the sum of digits of a two digit number is 8 , the difference between the digits is 6 . find the number
[ { "content": "the sum of digits of a two digit number is 8 , the difference between the digits is 6 . find the number", "role": "user" }, { "content": "A two-digit number has a digit sum of 8 and a digit difference of 6; what is the number?", "role": "assistant" } ]
A two-digit number has a digit sum of 8 and a digit difference of 6; what is the number?
the sum of digits of a two digit number is 8 , the difference between the digits is 6 . find the number
the total marks obtained by a student in mathematics and physics is 80 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together .
[ { "content": "the total marks obtained by a student in mathematics and physics is 80 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together .", "role": "user" }, { "content": "What is the average score in mathematics and chemistry for a student with 80 total marks in mathematics and physics, and 20 more marks in chemistry than in physics?", "role": "assistant" } ]
What is the average score in mathematics and chemistry for a student with 80 total marks in mathematics and physics, and 20 more marks in chemistry than in physics?
the total marks obtained by a student in mathematics and physics is 80 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together .
the perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ?
[ { "content": "the perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ?", "role": "user" }, { "content": "With a triangle perimeter of 44 cm and an inradius of 2.5 cm, what is its area?", "role": "assistant" } ]
With a triangle perimeter of 44 cm and an inradius of 2.5 cm, what is its area?
the perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ?
the principal that amounts to rs . 4903 in 3 years at 6 1 / 4 % per annum c . i . compounded annually , is ?
[ { "content": "the principal that amounts to rs . 4903 in 3 years at 6 1 / 4 % per annum c . i . compounded annually , is ?", "role": "user" }, { "content": "What is the principal amount that becomes Rs. 4903 in 3 years at a 6 1/4% per annum compound interest rate, compounded annually?", "role": "assistant" } ]
What is the principal amount that becomes Rs. 4903 in 3 years at a 6 1/4% per annum compound interest rate, compounded annually?
the principal that amounts to rs . 4903 in 3 years at 6 1 / 4 % per annum c . i . compounded annually , is ?
in a group of 95 students , 36 are taking history , and 32 are taking statistics . if 59 students are taking history or statistics or both , then how many students are taking history but not statistics ?
[ { "content": "in a group of 95 students , 36 are taking history , and 32 are taking statistics . if 59 students are taking history or statistics or both , then how many students are taking history but not statistics ?", "role": "user" }, { "content": "In a class of 95 students, 36 are studying history and 32 statistics. If 59 students study either history, statistics, or both, how many students study history but not statistics?", "role": "assistant" } ]
In a class of 95 students, 36 are studying history and 32 statistics. If 59 students study either history, statistics, or both, how many students study history but not statistics?
in a group of 95 students , 36 are taking history , and 32 are taking statistics . if 59 students are taking history or statistics or both , then how many students are taking history but not statistics ?
the price of commodity x increases by 30 cents every year , while the price of commodity y increases by 20 cents every year . if in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 4.40 , in which year will commodity x cost 80 cents more than the commodity y ?
[ { "content": "the price of commodity x increases by 30 cents every year , while the price of commodity y increases by 20 cents every year . if in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 4.40 , in which year will commodity x cost 80 cents more than the commodity y ?", "role": "user" }, { "content": "In what year will commodity x be 80 cents more expensive than commodity y, given that it increases by 30 cents annually and commodity y by 20 cents, with commodity x initially priced at $4.20 and commodity y at $4.40 in 2001?", "role": "assistant" } ]
In what year will commodity x be 80 cents more expensive than commodity y, given that it increases by 30 cents annually and commodity y by 20 cents, with commodity x initially priced at $4.20 and commodity y at $4.40 in 2001?
the price of commodity x increases by 30 cents every year , while the price of commodity y increases by 20 cents every year . if in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 4.40 , in which year will commodity x cost 80 cents more than the commodity y ?
there are 13 clubs in a full deck of 52 cards . in a certain game , you pick a card from a standard deck of 52 cards . if the card is a club , you win . if the card is not a club , the person replaces the card to the deck , reshuffles , and draws again . the person keeps repeating that process until he picks a club , and the point is to measure how many draws it took before the person picked a club and , thereby , won . what is the probability that one will pick the first club on the forth draw or later ?
[ { "content": "there are 13 clubs in a full deck of 52 cards . in a certain game , you pick a card from a standard deck of 52 cards . if the card is a club , you win . if the card is not a club , the person replaces the card to the deck , reshuffles , and draws again . the person keeps repeating that process until he picks a club , and the point is to measure how many draws it took before the person picked a club and , thereby , won . what is the probability that one will pick the first club on the forth draw or later ?", "role": "user" }, { "content": "In a 52-card deck, with 13 clubs, what's the likelihood of not drawing a club until the fourth attempt or later in a game where non-club cards are replaced and the deck is reshuffled before each new draw?", "role": "assistant" } ]
In a 52-card deck, with 13 clubs, what's the likelihood of not drawing a club until the fourth attempt or later in a game where non-club cards are replaced and the deck is reshuffled before each new draw?
there are 13 clubs in a full deck of 52 cards . in a certain game , you pick a card from a standard deck of 52 cards . if the card is a club , you win . if the card is not a club , the person replaces the card to the deck , reshuffles , and draws again . the person keeps repeating that process until he picks a club , and the point is to measure how many draws it took before the person picked a club and , thereby , won . what is the probability that one will pick the first club on the forth draw or later ?
the average ( arithmetic mean ) of 20 , 40 , and 60 is 5 more than the average of 10 , 70 , and what number ?
[ { "content": "the average ( arithmetic mean ) of 20 , 40 , and 60 is 5 more than the average of 10 , 70 , and what number ?", "role": "user" }, { "content": "What number, when combined with 10 and 70, has an average 5 less than the average of 20, 40, and 60?", "role": "assistant" } ]
What number, when combined with 10 and 70, has an average 5 less than the average of 20, 40, and 60?
the average ( arithmetic mean ) of 20 , 40 , and 60 is 5 more than the average of 10 , 70 , and what number ?
alan buys 4 tvs , a 26 inch , a 28 inch , a 30 inch , and a 32 inch , for his new house . each tv costs $ 200 more than the size below it . alan spends a total of $ 3,200 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ?
[ { "content": "alan buys 4 tvs , a 26 inch , a 28 inch , a 30 inch , and a 32 inch , for his new house . each tv costs $ 200 more than the size below it . alan spends a total of $ 3,200 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ?", "role": "user" }, { "content": "If alan only purchased the 28 inch and 30 inch tvs, how much would he have spent", "role": "assistant" } ]
If alan only purchased the 28 inch and 30 inch tvs, how much would he have spent
alan buys 4 tvs , a 26 inch , a 28 inch , a 30 inch , and a 32 inch , for his new house . each tv costs $ 200 more than the size below it . alan spends a total of $ 3,200 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ?
if 28 % of a number exceeds 18 % of it by 7.2 , then find the number ?
[ { "content": "if 28 % of a number exceeds 18 % of it by 7.2 , then find the number ?", "role": "user" }, { "content": "What is the number if 28% of it is 7.2 more than 18% of it?", "role": "assistant" } ]
What is the number if 28% of it is 7.2 more than 18% of it?
if 28 % of a number exceeds 18 % of it by 7.2 , then find the number ?
how many factors of 60 are odd numbers greater than 1 ?
[ { "content": "how many factors of 60 are odd numbers greater than 1 ?", "role": "user" }, { "content": "What is the count of odd factors of 60 that are greater than 1?", "role": "assistant" } ]
What is the count of odd factors of 60 that are greater than 1?
how many factors of 60 are odd numbers greater than 1 ?
a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 percent of the distribution lies within one standard deviation d of the mean , what percent e of the distribution is less than m + d ?
[ { "content": "a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 percent of the distribution lies within one standard deviation d of the mean , what percent e of the distribution is less than m + d ?", "role": "user" }, { "content": "Given a symmetric distribution around the mean m in a large population, if 68% of the data falls within one standard deviation d of the mean, what percentage e of the data falls below m + d?", "role": "assistant" } ]
Given a symmetric distribution around the mean m in a large population, if 68% of the data falls within one standard deviation d of the mean, what percentage e of the data falls below m + d?
a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 percent of the distribution lies within one standard deviation d of the mean , what percent e of the distribution is less than m + d ?
village p ’ s population is 1150 greater than village q ' s population . if village q ’ s population were reduced by 200 people , then village p ’ s population would be 4 times as large as village q ' s population . what is village q ' s current population ?
[ { "content": "village p ’ s population is 1150 greater than village q ' s population . if village q ’ s population were reduced by 200 people , then village p ’ s population would be 4 times as large as village q ' s population . what is village q ' s current population ?", "role": "user" }, { "content": "Here is the paraphrased text:\n\nVillage P has 1150 more residents than village Q. If village Q lost 200 residents, village P's population would be four times village Q's. What is village Q's current population?", "role": "assistant" } ]
Here is the paraphrased text: Village P has 1150 more residents than village Q. If village Q lost 200 residents, village P's population would be four times village Q's. What is village Q's current population?
village p ’ s population is 1150 greater than village q ' s population . if village q ’ s population were reduced by 200 people , then village p ’ s population would be 4 times as large as village q ' s population . what is village q ' s current population ?
an electric pump can fill a tank in 3 hours . because of a leak in the tank , it took 3 hours 30 min to fill the tank . in what time the leak can drain out all the water of the tank and will make tank empty ?
[ { "content": "an electric pump can fill a tank in 3 hours . because of a leak in the tank , it took 3 hours 30 min to fill the tank . in what time the leak can drain out all the water of the tank and will make tank empty ?", "role": "user" }, { "content": "Here is a paraphrased version of the text:\n\nA tank can be filled by an electric pump in 3 hours. However, due to a leak, it took 3 hours and 30 minutes to fill the tank. How long will it take for the leak to empty the tank completely?", "role": "assistant" } ]
Here is a paraphrased version of the text: A tank can be filled by an electric pump in 3 hours. However, due to a leak, it took 3 hours and 30 minutes to fill the tank. How long will it take for the leak to empty the tank completely?
an electric pump can fill a tank in 3 hours . because of a leak in the tank , it took 3 hours 30 min to fill the tank . in what time the leak can drain out all the water of the tank and will make tank empty ?
a clock store sold a certain clock to a collector for 35 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 15 percent of what the collector had paid . the shop then sold the clock again at a profit of 65 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 105 , for how much did the shop sell the clock the second time ?
[ { "content": "a clock store sold a certain clock to a collector for 35 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 15 percent of what the collector had paid . the shop then sold the clock again at a profit of 65 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 105 , for how much did the shop sell the clock the second time ?", "role": "user" }, { "content": "Here is a paraphrased version of the text:\n\nA clock store sold a clock to a collector at a 35% markup from its original purchase price. When the collector attempted to resell the clock, the store repurchased it for 15% of the collector's purchase price. The store then resold the clock at a 65% profit from its buy-back price. If the difference between the original cost and the buy-back price was $105, what was the selling price of the clock the second time around?", "role": "assistant" } ]
Here is a paraphrased version of the text: A clock store sold a clock to a collector at a 35% markup from its original purchase price. When the collector attempted to resell the clock, the store repurchased it for 15% of the collector's purchase price. The store then resold the clock at a 65% profit from its buy-back price. If the difference between the original cost and the buy-back price was $105, what was the selling price of the clock the second time around?
a clock store sold a certain clock to a collector for 35 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 15 percent of what the collector had paid . the shop then sold the clock again at a profit of 65 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 105 , for how much did the shop sell the clock the second time ?
the average age of a family of 6 members is 26 years . if the age of the youngest member is 10 years , what was the average age of the family at the birth of the youngest member ?
[ { "content": "the average age of a family of 6 members is 26 years . if the age of the youngest member is 10 years , what was the average age of the family at the birth of the youngest member ?", "role": "user" }, { "content": "What was the average age of the family 10 years ago when the youngest member was born, given that the current average age of the 6-member family is 26 years?", "role": "assistant" } ]
What was the average age of the family 10 years ago when the youngest member was born, given that the current average age of the 6-member family is 26 years?
the average age of a family of 6 members is 26 years . if the age of the youngest member is 10 years , what was the average age of the family at the birth of the youngest member ?
together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many hours e would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ?
[ { "content": "together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many hours e would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ?", "role": "user" }, { "content": "If 15 Type A and 7 Type B machines complete a job in 4 hours, and 8 Type B and 15 Type C machines complete the same job in 11 hours, how long would it take for one of each machine type to complete the job together at constant rates?", "role": "assistant" } ]
If 15 Type A and 7 Type B machines complete a job in 4 hours, and 8 Type B and 15 Type C machines complete the same job in 11 hours, how long would it take for one of each machine type to complete the job together at constant rates?
together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many hours e would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ?
1 = 5,2 = 4,3 = 253,4 = 2,6 = 15 , then 15 = ?
[ { "content": "1 = 5,2 = 4,3 = 253,4 = 2,6 = 15 , then 15 = ?", "role": "user" }, { "content": "Using the given pattern, we see that the numbers are being rearranged in a specific way: the digits of the number on the right side of the equation are being reversed to form the number on the left. Applying this pattern to 15, we would reverse the digits to get 51.", "role": "assistant" } ]
Using the given pattern, we see that the numbers are being rearranged in a specific way: the digits of the number on the right side of the equation are being reversed to form the number on the left. Applying this pattern to 15, we would reverse the digits to get 51.
1 = 5,2 = 4,3 = 253,4 = 2,6 = 15 , then 15 = ?
2 , 6 , 12 , 20 , 30 , 42 , 56 , ( . . . )
[ { "content": "2 , 6 , 12 , 20 , 30 , 42 , 56 , ( . . . )", "role": "user" }, { "content": "What comes next in the sequence 2, 6, 12, 20, 30, 42, 56, ...", "role": "assistant" } ]
What comes next in the sequence 2, 6, 12, 20, 30, 42, 56, ...
2 , 6 , 12 , 20 , 30 , 42 , 56 , ( . . . )
what is the area of a square field whose sides have a length of 16 meters ?
[ { "content": "what is the area of a square field whose sides have a length of 16 meters ?", "role": "user" }, { "content": "What is the area of a square field with 16-meter sides ?", "role": "assistant" } ]
What is the area of a square field with 16-meter sides ?
what is the area of a square field whose sides have a length of 16 meters ?
jayant opened a shop investing rs . 30,000 . madhu joined him 2 months later , investing rs . 45,000 . they earned a profit of rs . 50,000 after completion of one year . what will be madhu ' s share of profit ?
[ { "content": "jayant opened a shop investing rs . 30,000 . madhu joined him 2 months later , investing rs . 45,000 . they earned a profit of rs . 50,000 after completion of one year . what will be madhu ' s share of profit ?", "role": "user" }, { "content": "What is Madhu's share of the Rs. 50,000 profit earned after one year", "role": "assistant" } ]
What is Madhu's share of the Rs. 50,000 profit earned after one year
jayant opened a shop investing rs . 30,000 . madhu joined him 2 months later , investing rs . 45,000 . they earned a profit of rs . 50,000 after completion of one year . what will be madhu ' s share of profit ?
the difference between the place values of 7 and 3 in the prime number 527435 is
[ { "content": "the difference between the place values of 7 and 3 in the prime number 527435 is", "role": "user" }, { "content": "the difference between the place values of 7 and 3 in the prime number 527435 is", "role": "assistant" } ]
the difference between the place values of 7 and 3 in the prime number 527435 is
the difference between the place values of 7 and 3 in the prime number 527435 is
in a certain school , the ratio of boys to girls is 5 to 13 . if there are 160 more girls than boys , how many boys are there ?
[ { "content": "in a certain school , the ratio of boys to girls is 5 to 13 . if there are 160 more girls than boys , how many boys are there ?", "role": "user" }, { "content": "In a particular school, the boy-to-girl ratio is 5:13. If the number of girls exceeds the number of boys by 160, what is the number of boys?", "role": "assistant" } ]
In a particular school, the boy-to-girl ratio is 5:13. If the number of girls exceeds the number of boys by 160, what is the number of boys?
in a certain school , the ratio of boys to girls is 5 to 13 . if there are 160 more girls than boys , how many boys are there ?
ajay can walk 4 km in 1 hour . in how many hours he can walk 40 km ?
[ { "content": "ajay can walk 4 km in 1 hour . in how many hours he can walk 40 km ?", "role": "user" }, { "content": "How many hours will it take Ajay to walk 40 km if he can cover 4 km in 1 hour?", "role": "assistant" } ]
How many hours will it take Ajay to walk 40 km if he can cover 4 km in 1 hour?
ajay can walk 4 km in 1 hour . in how many hours he can walk 40 km ?
ramesh has solved 108 questions in an examination . if he got only ‘ 0 ’ marks , then how many questions were wrong when one mark is given for each one correct answer and 1 / 3 mark is subtracted on each wrong answer .
[ { "content": "ramesh has solved 108 questions in an examination . if he got only ‘ 0 ’ marks , then how many questions were wrong when one mark is given for each one correct answer and 1 / 3 mark is subtracted on each wrong answer .", "role": "user" }, { "content": "If Ramesh scored 0 marks in the exam, with 1 mark for each correct answer and a 1/3 mark deduction for each wrong answer, how many questions did he get wrong out of 108?", "role": "assistant" } ]
If Ramesh scored 0 marks in the exam, with 1 mark for each correct answer and a 1/3 mark deduction for each wrong answer, how many questions did he get wrong out of 108?
ramesh has solved 108 questions in an examination . if he got only ‘ 0 ’ marks , then how many questions were wrong when one mark is given for each one correct answer and 1 / 3 mark is subtracted on each wrong answer .
what is the measure of the angle x made by the diagonals of the any adjacent sides of a cube .
[ { "content": "what is the measure of the angle x made by the diagonals of the any adjacent sides of a cube .", "role": "user" }, { "content": "what is the angle formed by the intersection of the diagonals of any adjacent sides of a cube", "role": "assistant" } ]
what is the angle formed by the intersection of the diagonals of any adjacent sides of a cube
what is the measure of the angle x made by the diagonals of the any adjacent sides of a cube .
after decreasing 15 % in the price of an article costs rs . 915 . find the actual cost of an article ?
[ { "content": "after decreasing 15 % in the price of an article costs rs . 915 . find the actual cost of an article ?", "role": "user" }, { "content": "What was the original cost of the article that is now priced at Rs. 915 after a 15% decrease?", "role": "assistant" } ]
What was the original cost of the article that is now priced at Rs. 915 after a 15% decrease?
after decreasing 15 % in the price of an article costs rs . 915 . find the actual cost of an article ?
dan can do a job alone in 15 hours . annie , working alone , can do the same job in just 10 hours . if dan works alone for 12 hours and then stops , how many hours will it take annie , working alone , to complete the job ?
[ { "content": "dan can do a job alone in 15 hours . annie , working alone , can do the same job in just 10 hours . if dan works alone for 12 hours and then stops , how many hours will it take annie , working alone , to complete the job ?", "role": "user" }, { "content": "Dan can complete a job in 15 hours on his own . Annie can complete the same job alone in 10 hours . If Dan works alone for 12 hours and then stops , how many hours will it take Annie to complete the job on her own ?", "role": "assistant" } ]
Dan can complete a job in 15 hours on his own . Annie can complete the same job alone in 10 hours . If Dan works alone for 12 hours and then stops , how many hours will it take Annie to complete the job on her own ?
dan can do a job alone in 15 hours . annie , working alone , can do the same job in just 10 hours . if dan works alone for 12 hours and then stops , how many hours will it take annie , working alone , to complete the job ?
a circle graph shows how the megatech corporation allocates its research and development budget : 17 % microphotonics ; 24 % home electronics ; 15 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?
[ { "content": "a circle graph shows how the megatech corporation allocates its research and development budget : 17 % microphotonics ; 24 % home electronics ; 15 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?", "role": "user" }, { "content": "To what degree is the circle graph allocated for basic astrophysics research, given that each sector's arc is proportional to its percentage of the budget?", "role": "assistant" } ]
To what degree is the circle graph allocated for basic astrophysics research, given that each sector's arc is proportional to its percentage of the budget?
a circle graph shows how the megatech corporation allocates its research and development budget : 17 % microphotonics ; 24 % home electronics ; 15 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?
find the c . i . on a sum of rs . 1600 for 9 months at 20 % per annum , interest being compounded quarterly ?
[ { "content": "find the c . i . on a sum of rs . 1600 for 9 months at 20 % per annum , interest being compounded quarterly ?", "role": "user" }, { "content": "What is the compound interest on a sum of Rs. 1600 for 9 months at 20% per annum compounded quarterly?", "role": "assistant" } ]
What is the compound interest on a sum of Rs. 1600 for 9 months at 20% per annum compounded quarterly?
find the c . i . on a sum of rs . 1600 for 9 months at 20 % per annum , interest being compounded quarterly ?
if the cost price of 20 articles is same as the selling price of 25 articles . find the gain or loss percentage ?
[ { "content": "if the cost price of 20 articles is same as the selling price of 25 articles . find the gain or loss percentage ?", "role": "user" }, { "content": "What is the percentage of gain or loss if the cost price of 20 items equals the selling price of 25 items?", "role": "assistant" } ]
What is the percentage of gain or loss if the cost price of 20 items equals the selling price of 25 items?
if the cost price of 20 articles is same as the selling price of 25 articles . find the gain or loss percentage ?
peter invests a sum of money and gets back an amount of $ 830 in 3 years . david invests an equal amount of money and gets an amount of $ 854 in 4 years . if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ?
[ { "content": "peter invests a sum of money and gets back an amount of $ 830 in 3 years . david invests an equal amount of money and gets an amount of $ 854 in 4 years . if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ?", "role": "user" }, { "content": "If both Peter and David invested the same amount of money at the same simple interest rate, with Peter receiving $830 in 3 years and David receiving $854 in 4 years, what was the initial sum of money invested by each?", "role": "assistant" } ]
If both Peter and David invested the same amount of money at the same simple interest rate, with Peter receiving $830 in 3 years and David receiving $854 in 4 years, what was the initial sum of money invested by each?
peter invests a sum of money and gets back an amount of $ 830 in 3 years . david invests an equal amount of money and gets an amount of $ 854 in 4 years . if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ?
the simple interest in 14 months on a certain sum at the rate of 6 per cent per annum is 250 more than the interest on the same sum at the rate of 8 per cent in 8 months . how much amount was borrowed ?
[ { "content": "the simple interest in 14 months on a certain sum at the rate of 6 per cent per annum is 250 more than the interest on the same sum at the rate of 8 per cent in 8 months . how much amount was borrowed ?", "role": "user" }, { "content": "What amount was borrowed given that the simple interest for 14 months at 6% per annum exceeds the interest for 8 months at 8% per annum by $250?", "role": "assistant" } ]
What amount was borrowed given that the simple interest for 14 months at 6% per annum exceeds the interest for 8 months at 8% per annum by $250?
the simple interest in 14 months on a certain sum at the rate of 6 per cent per annum is 250 more than the interest on the same sum at the rate of 8 per cent in 8 months . how much amount was borrowed ?
how many different pairs of positive integers ( a , b ) satisfy the equation 1 / a + 1 / b = 34 / 57 ?
[ { "content": "how many different pairs of positive integers ( a , b ) satisfy the equation 1 / a + 1 / b = 34 / 57 ?", "role": "user" }, { "content": "What is the number of distinct pairs of positive integers (a, b) that fulfill the equation 1/a + 1/b = 34/57?", "role": "assistant" } ]
What is the number of distinct pairs of positive integers (a, b) that fulfill the equation 1/a + 1/b = 34/57?
how many different pairs of positive integers ( a , b ) satisfy the equation 1 / a + 1 / b = 34 / 57 ?
if $ 120 invested at a certain rate of simple interest amounts to $ 240 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ?
[ { "content": "if $ 120 invested at a certain rate of simple interest amounts to $ 240 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ?", "role": "user" }, { "content": "If $120 grows to $240 at a certain simple interest rate over 3 years, what will $150 become in 6 years at the same interest rate?", "role": "assistant" } ]
If $120 grows to $240 at a certain simple interest rate over 3 years, what will $150 become in 6 years at the same interest rate?
if $ 120 invested at a certain rate of simple interest amounts to $ 240 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ?
redo ’ s manufacturing costs for sets of horseshoes include a $ 10,500 initial outlay , and $ 30 per set . they can sell the sets $ 60 . if profit is revenue from sales minus manufacturing costs , and the company producessells 1000 sets of horseshoes , what was their profit ?
[ { "content": "redo ’ s manufacturing costs for sets of horseshoes include a $ 10,500 initial outlay , and $ 30 per set . they can sell the sets $ 60 . if profit is revenue from sales minus manufacturing costs , and the company producessells 1000 sets of horseshoes , what was their profit ?", "role": "user" }, { "content": "What was Redo's profit from producing and selling 1000 sets of horseshoes, given a $10,500 initial outlay, $30 per set manufacturing cost, and a $60 selling price?", "role": "assistant" } ]
What was Redo's profit from producing and selling 1000 sets of horseshoes, given a $10,500 initial outlay, $30 per set manufacturing cost, and a $60 selling price?
redo ’ s manufacturing costs for sets of horseshoes include a $ 10,500 initial outlay , and $ 30 per set . they can sell the sets $ 60 . if profit is revenue from sales minus manufacturing costs , and the company producessells 1000 sets of horseshoes , what was their profit ?
a fruit - salad mixture consists of apples , peaches , and grapes in the ratio 9 : 6 : 5 , respectively , by weight . if 40 pounds of the mixture is prepared , the mixture includes how many more pounds of apples than grapes ?
[ { "content": "a fruit - salad mixture consists of apples , peaches , and grapes in the ratio 9 : 6 : 5 , respectively , by weight . if 40 pounds of the mixture is prepared , the mixture includes how many more pounds of apples than grapes ?", "role": "user" }, { "content": "What is the weight difference between apples and grapes in a 40-pound fruit salad mixture consisting of apples, peaches, and grapes in a 9:6:5 ratio by weight?", "role": "assistant" } ]
What is the weight difference between apples and grapes in a 40-pound fruit salad mixture consisting of apples, peaches, and grapes in a 9:6:5 ratio by weight?
a fruit - salad mixture consists of apples , peaches , and grapes in the ratio 9 : 6 : 5 , respectively , by weight . if 40 pounds of the mixture is prepared , the mixture includes how many more pounds of apples than grapes ?
the population of a town increases 20 % and 25 % respectively in two consecutive years . after the growth the present population of the town is 1500 . then what is the population of the town 2 years ago ?
[ { "content": "the population of a town increases 20 % and 25 % respectively in two consecutive years . after the growth the present population of the town is 1500 . then what is the population of the town 2 years ago ?", "role": "user" }, { "content": "If the town's population increased by 20% and then 25% over two consecutive years, resulting in a current population of 1500, what was the town's population two years ago?", "role": "assistant" } ]
If the town's population increased by 20% and then 25% over two consecutive years, resulting in a current population of 1500, what was the town's population two years ago?
the population of a town increases 20 % and 25 % respectively in two consecutive years . after the growth the present population of the town is 1500 . then what is the population of the town 2 years ago ?
when a random experiment is conducted , the probability that event a occurs is 1 / 4 . if the random experiment is conducted 4 independent times , what is the probability that event a occurs exactly twice ?
[ { "content": "when a random experiment is conducted , the probability that event a occurs is 1 / 4 . if the random experiment is conducted 4 independent times , what is the probability that event a occurs exactly twice ?", "role": "user" }, { "content": "In four independent trials of a random experiment where the probability of event A occurring is 1/4, what is the probability of event A happening exactly twice?", "role": "assistant" } ]
In four independent trials of a random experiment where the probability of event A occurring is 1/4, what is the probability of event A happening exactly twice?
when a random experiment is conducted , the probability that event a occurs is 1 / 4 . if the random experiment is conducted 4 independent times , what is the probability that event a occurs exactly twice ?
what is the thousandths digit in the decimal equivalent of 64 / 5000 ?
[ { "content": "what is the thousandths digit in the decimal equivalent of 64 / 5000 ?", "role": "user" }, { "content": "What is the thousandths digit in 64 divided by 5000 ?", "role": "assistant" } ]
What is the thousandths digit in 64 divided by 5000 ?
what is the thousandths digit in the decimal equivalent of 64 / 5000 ?
find the average of all the numbers between 6 and 34 which are divisible by 5 .
[ { "content": "find the average of all the numbers between 6 and 34 which are divisible by 5 .", "role": "user" }, { "content": "What is the mean of the numbers between 6 and 34 that are divisible by 5.", "role": "assistant" } ]
What is the mean of the numbers between 6 and 34 that are divisible by 5.
find the average of all the numbers between 6 and 34 which are divisible by 5 .
in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.24 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ]
[ { "content": "in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.24 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ]", "role": "user" }, { "content": "In a market, the cost of a dozen eggs is equal to that of a pound of rice, and a half-liter of kerosene costs the same as 8 eggs. If a pound of rice costs $0.24, what is the cost in cents of a liter of kerosene?", "role": "assistant" } ]
In a market, the cost of a dozen eggs is equal to that of a pound of rice, and a half-liter of kerosene costs the same as 8 eggs. If a pound of rice costs $0.24, what is the cost in cents of a liter of kerosene?
in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.24 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ]