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dogtooth

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math_qa

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[ { "content": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 31.1 % . what would have been the percentage of profit earned if no discount had been offered ?", "role": "user" }, { "content": "If no discount had been offered, what would have been the shopkeeper's profit percentage after selling the article?", "role": "assistant" } ]

[ { "content": "what will be the difference between simple and compound interest at 14 % per annum on a sum of rs . 1000 after 4 years ?", "role": "user" }, { "content": "What is the difference between simple and compound interest on a sum of Rs. 1000 at 14% per annum after 4 years?", "role": "assistant" } ]

[ { "content": "there are 28 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?", "role": "user" }, { "content": "To enable a passenger to travel from any station to another, how many second-class tickets need to be printed for the 28 stations between Hyderabad and Bangalore?", "role": "assistant" } ]

[ { "content": "the present population of a town is 3888 . population increase rate is 20 % p . a . find the population of town before 2 years ?", "role": "user" }, { "content": "What was the town's population two years ago, given the current population of 3,888 and an annual growth rate of 20%?", "role": "assistant" } ]

[ { "content": "the triplicate ratio of 1 : 9 is ?", "role": "user" }, { "content": "What is the triplicate ratio of 1 : 9", "role": "assistant" } ]

[ { "content": "the sum of all the integers s such that - 26 < s < 24 is", "role": "user" }, { "content": "the sum of all the integers s such that -26 < s < 24 is", "role": "assistant" } ]

[ { "content": "a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 6 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ?", "role": "user" }, { "content": "To what distance ( in feet ) does the oil level drop in the stationary tank .", "role": "assistant" } ]

[ { "content": "each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 35 - ounce cans or 25 - ounce cans of chili paste . if the restaurant must order 20 more of the smaller cans than the larger cans to fulfill its weekly needs , then how manysmallercans are required to fulfill its weekly needs ?", "role": "user" }, { "content": "How many more 25-ounce cans of chili paste than 35-ounce cans are needed each week if 20 more of the smaller cans are required to meet the restaurant's weekly demands?", "role": "assistant" } ]

[ { "content": "if n is an integer and 101 n ^ 2 is less than or equal to 10000 , what is the greatest possible value of n ?", "role": "user" }, { "content": "What is the largest integer n such that 101n^2 is less than or equal to 10000?", "role": "assistant" } ]

[ { "content": "a constructor estimates that 10 people can paint mr khans house in 4 days . if he uses 5 people instead of 10 , how long will they take to complete the job ?", "role": "user" }, { "content": "If a constructor estimates that 10 people can paint Mr. Khan's house in 4 days, how many days will it take for 5 people to complete the job?", "role": "assistant" } ]

[ { "content": "the population of a town is 8000 . it decreases annually at the rate of 20 % p . a . what will be its population after 3 years ?", "role": "user" }, { "content": "The town's population is 8000 and decreases by 20% each year. What will be the population after a 3-year period?", "role": "assistant" } ]

[ { "content": "the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 40 % profit ?", "role": "user" }, { "content": "At what price should the article be sold in order to earn a 40% profit", "role": "assistant" } ]

[ { "content": "running at the same constant rate , 6 identical machines can produce a total of 360 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?", "role": "user" }, { "content": "Running at the same constant rate, 6 identical machines can produce a total of 360 bottles per minute. At this rate, what would be the total output of 10 such machines in 4 minutes?", "role": "assistant" } ]

[ { "content": "there are 1000 buildings in a street . a sign - maker is contracted to number the houses from 1 to 1000 . how many zeroes will he need ?", "role": "user" }, { "content": "A sign-maker is tasked with numbering 1000 buildings on a street from 1 to 1000; how many zeroes are required ?", "role": "assistant" } ]

[ { "content": "a man bought 20 shares of rs . 50 at 5 discount , the rate of dividend being 13 . the rate of interest obtained is :", "role": "user" }, { "content": "A man purchased 20 shares of Rs. 50 at a 5 discount, with a dividend rate of 13; what is the rate of interest earned?", "role": "assistant" } ]

[ { "content": "? % of 360 = 108", "role": "user" }, { "content": "What percentage of 360 equals 108", "role": "assistant" } ]

[ { "content": "a train 300 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 150 m long ?", "role": "user" }, { "content": "How long will it take for a 300m long train, traveling at 45km/hr, to pass a 150m long bridge?", "role": "assistant" } ]

[ { "content": "what is the sum of all digits for the number 10 ^ 29 - 41 ?", "role": "user" }, { "content": "What is the sum of the digits of 10^29 - 41?", "role": "assistant" } ]

[ { "content": "a train running at the speed of 120 km / hr crosses a pole in 18 seconds . what is the length of the train ?", "role": "user" }, { "content": "At 120 km/hr, how long is a train that passes a pole in 18 seconds?", "role": "assistant" } ]

[ { "content": "a train 100 meters long completely crosses a 300 meters long bridge in 45 seconds . what is the speed of the train is ?", "role": "user" }, { "content": "What is the speed of a 100m long train that crosses a 300m long bridge in 45 seconds?", "role": "assistant" } ]

[ { "content": "each month a retailer sells 100 identical items . on each item he makes a profit of $ 40 that constitutes 10 % of the item ' s price to the retailer . if the retailer contemplates giving a 5 % discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ?", "role": "user" }, { "content": "What is the minimum number of items the retailer needs to sell each month to justify offering a 5% discount on the items, given that he normally sells 100 items at a $40 profit per item, which is 10% of the item's price to him?", "role": "assistant" } ]

[ { "content": "the average age of 15 students of a class is 14 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years . tee age of the 15 th student is ?", "role": "user" }, { "content": "What is the age of the 15th student, given that the average age of the entire class of 15 students is 14 years, with 5 students averaging 14 years and the remaining 9 students averaging 16 years?", "role": "assistant" } ]

[ { "content": "bookman purchased 55 copies of a new book released recently , 10 of which are hardback and sold for $ 20 each , and rest are paperback and sold for $ 10 each . if 14 copies were sold and the total value of the remaining books was 460 , how many paperback copies were sold ?", "role": "user" }, { "content": "Bookman recently purchased 55 copies of a new book, with 10 being hardback and selling for $20 each, and the rest being paperback and selling for $10 each. If 14 copies were sold and the total value of the remaining books was $460, how many paperback copies were sold?", "role": "assistant" } ]

[ { "content": "diana is painting statues . she has 1 / 2 of a gallon of paint remaining . each statue requires 1 / 16 gallon of paint . how many statues can she paint ?", "role": "user" }, { "content": "Diana is painting statues. She has 1/2 gallon of paint left. Each statue needs 1/16 gallon of paint. How many statues can she paint?", "role": "assistant" } ]

[ { "content": "if the price of gasoline increases by 25 % and a driver intends to spend only 20 % more on gasoline , by how much percent should the driver reduce the quantity of gasoline that he buys ?", "role": "user" }, { "content": "How much should the driver reduce his gasoline consumption if gas prices rise by 25% but he only wants to spend 20% more?", "role": "assistant" } ]

[ { "content": "an art gallery has only paintings and sculptures . currently , 1 / 3 of the pieces of art are displayed , and 1 / 6 of the pieces on display are sculptures . if 1 / 3 of the pieces not on display are paintings , and 1000 sculptures are not on display , how many pieces of art does the gallery have ?", "role": "user" }, { "content": "What is the total number of artworks in the gallery, given that 1/3 of the pieces are on display, 1/6 of the displayed pieces are sculptures, 1/3 of the undisplayed pieces are paintings, and 1000 sculptures are not on display ?", "role": "assistant" } ]

[ { "content": "john and ingrid pay 30 % and 40 % tax annually , respectively . if john makes $ 60000 and ingrid makes $ 72000 , what is their combined tax rate ?", "role": "user" }, { "content": "John and Ingrid pay 30% and 40% tax annually, respectively. If John earns $60,000 and Ingrid earns $72,000, what is their combined tax rate?", "role": "assistant" } ]

[ { "content": "the lenght of a room is 5.5 m and width is 4 m . find the cost of paving the floor by slabs at the rate of rs . 900 per sq . metre .", "role": "user" }, { "content": "What is the cost of paving the floor with slabs at Rs. 900 per square meter, given the room's dimensions are 5.5m in length and 4m in width.", "role": "assistant" } ]

[ { "content": "a factory that employs 1000 assembly line workers pays each of these workers $ 5 per hour for the first 40 hours worked during a week and 1 ½ times that rate for hours worked in excess of 40 . what was the total payroll for the assembly - line workers for a week in which 30 percent of them worked 15 hours , 50 percent worked 40 hours , and the rest worked 50 hours ?", "role": "user" }, { "content": "What was the total weekly payroll for 1000 assembly line workers paid $5 per hour for the first 40 hours and 1.5 times that rate for overtime, with 30% working 15 hours, 50% working 40 hours, and the remaining 20% working 50 hours?", "role": "assistant" } ]

[ { "content": "a corporation double its annual bonus to 100 of its employees . what percent of the employees ’ new bonus is the increase ?", "role": "user" }, { "content": "What percentage of the increased annual bonus for 100 employees is the corporation doubling?", "role": "assistant" } ]

[ { "content": "a and b together do a work in 20 days . b and c together in 15 days and c and a in 12 days . then b alone can finish same work in how many days ?", "role": "user" }, { "content": "How many days will it take B to complete the work alone?", "role": "assistant" } ]

[ { "content": "two trains of equal length , running with the speeds of 60 and 16 kmph , take 50 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?", "role": "user" }, { "content": "When two trains of equal length travel at 60 km/h and 16 km/h, they take 50 seconds to cross each other while moving in the same direction. How long will it take them to cross each other when traveling in opposite directions?", "role": "assistant" } ]

[ { "content": "calculate the ratio between x and y if 30 % of x equal to 50 % of y ?", "role": "user" }, { "content": "What is the ratio of x to y if 30% of x equals 50% of y?", "role": "assistant" } ]

[ { "content": "three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 34 square meters . what is the area that is covered with three layers of wallpaper ?", "role": "user" }, { "content": "What is the area covered with three layers of wallpaper", "role": "assistant" } ]

[ { "content": "a meeting has to be conducted with 6 managers . find the number of ways in which the managers may be selected from among 9 managers , if there are 2 managers who refuse to attend the meeting together .", "role": "user" }, { "content": "To choose 6 managers out of 9, with 2 managers unwilling to attend together, what's the number of possible combinations?", "role": "assistant" } ]

[ { "content": "a trader bought a car at 20 % discount on its original price . he sold it at a 40 % increase on the price he bought it . what percent of profit did he make on the original price ?", "role": "user" }, { "content": "At what percentage profit on the original price did a trader sell a car after purchasing it at a 20% discount and then selling it at a 40% markup from the purchase price?", "role": "assistant" } ]

[ { "content": "what is the unit digit in the product ( 3 ^ 65 x 6 ^ 59 x 7 ^ 71 ) ?", "role": "user" }, { "content": "What is the units digit of 3^65 * 6^59 * 7^71?", "role": "assistant" } ]

[ { "content": "a start walking from a place at a uniform speed of 6 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of b .", "role": "user" }, { "content": "What is B's speed if A walks at 6 km/h and B starts 30 minutes later, overtaking A in 1 hour 48 minutes while traveling in the same direction?", "role": "assistant" } ]

[ { "content": "oak street begins at pine street and runs directly east for 2 kilometers until it ends when it meets maple street . oak street is intersected every 400 meters by a perpendicular street , and each of those streets other than pine street and maple street is given a number beginning at 1 st street ( one block east of pine street ) and continuing consecutively ( 2 nd street , 3 rd street , etc . . . ) until the highest - numbered street one block west of maple street . what is the highest - numbered street that intersects oak street ?", "role": "user" }, { "content": "What is the highest-numbered street that intersects Oak Street, given that it is intersected by a perpendicular street every 400 meters, with numbered streets starting from 1st Street (one block east of Pine Street) and continuing consecutively until the last one before Maple Street?", "role": "assistant" } ]

[ { "content": "50 percent of the members of a study group are women , and 30 percent of those women are lawyers . if one member of the study group is to be selected at random , what is the probability that the member selected is a woman lawyer ?", "role": "user" }, { "content": "What is the probability of randomly selecting a female lawyer from the study group, given that 50% of the members are women, and 30% of those women are lawyers?", "role": "assistant" } ]

[ { "content": "the cross - section of a cannel is a trapezium in shape . if the cannel is 14 m wide at the top and 8 m wide at the bottom and the area of cross - section is 550 sq m , the depth of cannel is ?", "role": "user" }, { "content": "What is the depth of the canal, given that its cross-section is a trapezium, 14m wide at the top, 8m wide at the bottom, and has a cross-sectional area of 550 sq m?", "role": "assistant" } ]

[ { "content": "kim finds a 4 - meter tree branch and marks it off in thirds and fifths . she then breaks the branch along all the markings and removes one piece of every distinct length . what fraction of the original branch remains ?", "role": "user" }, { "content": "What fraction of the original 4-meter branch remains after Kim breaks it along the markings and removes one piece of every distinct length?", "role": "assistant" } ]

[ { "content": "$ 350 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ?", "role": "user" }, { "content": "What is the amount of c's share when $350 is divided among a, b, and c, with a receiving half as much as b, and b receiving half as much as c?", "role": "assistant" } ]

[ { "content": "in an it company , there are a total of 90 employees including 50 programmers . the number of male employees is 80 , including 35 male programmers . how many employees must be selected to guaranty that we have 3 programmers of the same sex ?", "role": "user" }, { "content": "What is the minimum number of employees that need to be selected to ensure that there are at least 3 programmers of the same gender in an IT company?", "role": "assistant" } ]

[ { "content": "the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if arthur and david have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ?", "role": "user" }, { "content": "The cost of one photocopy is $ 0.02. However, a 25% discount is offered on orders of more than 100 photocopies. If Arthur and David have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies?", "role": "assistant" } ]

[ { "content": "( 3 x + 1 ) ( 2 x - 5 ) = ax ^ 2 + kx + n . what is the value of a - n + k ?", "role": "user" }, { "content": "What is a - n + k in the equation ( 3 x + 1 ) ( 2 x - 5 ) = ax ^ 2 + kx + n ?", "role": "assistant" } ]

[ { "content": "if 6 men and 8 women can do a piece of work in 10 days while 26 men and 48 women can do the same in 2 days , the time taken by 15 men and 20 women in doing the same type of work will be ?", "role": "user" }, { "content": "How long will it take 15 men and 20 women to complete the same work?", "role": "assistant" } ]

[ { "content": "the maximum number of students among them 1345 pens and 775 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :", "role": "user" }, { "content": "What is the maximum number of students that can be given an equal number of pens and pencils from 1345 pens and 775 pencils?", "role": "assistant" } ]

[ { "content": "a sum of rs . 1360 has been divided among a , b and c such that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets . b ' s share is :", "role": "user" }, { "content": "B's share from a sum of Rs. 1360 divided among A, B, and C, where A gets 2/3 of B's share and B gets 1/4 of C's share is:", "role": "assistant" } ]

[ { "content": "how many cuboids of length 5 m , width 3 m and height 2 m can be farmed from a cuboid of 18 m length , 15 m width and 2 m height .", "role": "user" }, { "content": "How many 5m x 3m x 2m cuboids can be formed from a 18m x 15m x 2m cuboid.", "role": "assistant" } ]

[ { "content": "two - third of a positive number and 16 / 216 of its reciprocal are equal . find the positive number .", "role": "user" }, { "content": "What is the positive number for which two-thirds of it equals 16/216 of its reciprocal?", "role": "assistant" } ]

[ { "content": "find large number from below question the difference of two numbers is 1365 . 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 in the problem where the difference between two numbers is 1365, and when the larger number is divided by the smaller, the quotient is 6 with a remainder of 15?", "role": "assistant" } ]

[ { "content": "the average of first three prime numbers greater than 5 is ?", "role": "user" }, { "content": "What is the average of the first three prime numbers greater than 5?", "role": "assistant" } ]

[ { "content": "in a recent election , james received 0.5 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ?", "role": "user" }, { "content": "in a recent election , james received 0.5 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many more votes would james have needed to win the election ?", "role": "assistant" } ]

[ { "content": "if 12 : 8 : : x : 16 , then find the value of x", "role": "user" }, { "content": "What is the value of x in the proportion 12 : 8 : : x : 16 ?", "role": "assistant" } ]

[ { "content": "what least number must be subtracted from 3832 so that the remaining number is divisible by 5 ?", "role": "user" }, { "content": "What is the smallest number that needs to be subtracted from 3832 to make it divisible by 5?", "role": "assistant" } ]

[ { "content": "find the length of the wire required to go 14 times round a square field containing 5625 m 2 .", "role": "user" }, { "content": "Determine the length of wire needed to encircle a 5625 m^2 square field 14 times.", "role": "assistant" } ]

[ { "content": "how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 1 m x 2 m x 20 cm ?", "role": "user" }, { "content": "What is the number of 25 cm x 11.25 cm x 6 cm bricks required to construct a 1 m x 2 m x 20 cm wall ?", "role": "assistant" } ]

[ { "content": "spanish language broadcast records last 90 min on each of two sides . if it takes 3 hours to translate one hour of broadcast , how long will it take to translate 16 full records ?", "role": "user" }, { "content": "A 90-minute Spanish language broadcast is recorded on each side of two tapes. If translating one hour of broadcast takes 3 hours, how many hours will it take to translate 16 complete records?", "role": "assistant" } ]

[ { "content": "a began business with rs . 45000 and was joined afterwards by b with rs . 5400 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ?", "role": "user" }, { "content": "When did B join the business if A started with Rs 45000 and B joined with Rs 5400, resulting in a 2:1 profit-sharing ratio at the end of the year?", "role": "assistant" } ]

[ { "content": "a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , which a and c together can do it in 2 hours . how long will b alone take to do it ?", "role": "user" }, { "content": "How long will b take to complete the task on his own?", "role": "assistant" } ]

[ { "content": "how many seconds will a 650 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?", "role": "user" }, { "content": "What is the time in seconds it takes for a 650-meter-long train, traveling at 63 km/hr, to pass a man walking in the same direction at 3 km/hr?", "role": "assistant" } ]

[ { "content": "today is thursday . i came home from a trip 3 days before the day after last monday . how many days have i been home ?", "role": "user" }, { "content": "It's Thursday today. I returned home 3 days before the day after last Monday. How long have I been home?", "role": "assistant" } ]

[ { "content": "an article is bought for rs . 675 and sold for rs . 1100 , find the gain percent ?", "role": "user" }, { "content": "What is the gain percentage when an article is purchased for Rs. 675 and sold for Rs. 1100?", "role": "assistant" } ]

[ { "content": "in one hour , a boat goes 19 km along the stream and 5 km against the stream . the speed of the boat in still water ( in km / hr ) is :", "role": "user" }, { "content": "In 1 hour, a boat travels 19 km downstream and 5 km upstream; what is the boat's speed in still water (in km/hr)?", "role": "assistant" } ]

[ { "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 $ 45,000 commission , how many machines did she sell ?", "role": "user" }, { "content": "For a $10,000 sale price per machine, and a total commission of $45,000, with a 3% commission on the first 100 machines and 4% on the rest, how many machines were sold by the salesperson?", "role": "assistant" } ]

[ { "content": "solve the equation for x : 6 x - 27 + 3 x = 4 + 9 - x", "role": "user" }, { "content": "Solve for x: 6x - 27 + 3x = 4 + 9 - x", "role": "assistant" } ]

[ { "content": "a profit of rs . 900 is divided between x and y in the ratio of 1 / 2 : 1 / 3 . what is the difference between their profit shares ?", "role": "user" }, { "content": "What is the difference between X and Y's shares of the Rs. 900 profit, divided in the ratio 1/2 : 1/3 ?", "role": "assistant" } ]

[ { "content": "a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 27 , the how old is b ?", "role": "user" }, { "content": "If b is twice as old as c and a is two years older than b, and the combined ages of a, b, and c equal 27, what is b's age?", "role": "assistant" } ]

[ { "content": "calculate the share of y , if rs . 2880 is divided among x , y and z in the ratio 3 : 5 : 8 ?", "role": "user" }, { "content": "What is y's share if Rs. 2880 is divided among x, y, and z in a 3:5:8 ratio?", "role": "assistant" } ]

[ { "content": "3 years ago , paula was 3 times as old as karl . in 9 years , paula will be twice as old as karl . what is the sum of their ages now ?", "role": "user" }, { "content": "What is Paula and Karl's combined current age", "role": "assistant" } ]

[ { "content": "a train running at the speed of 50 km / hr crosses a post in 4 seconds . what is the length of the train ?", "role": "user" }, { "content": "What is the length of the train that crosses a post at a speed of 50 km/hr in 4 seconds?", "role": "assistant" } ]

[ { "content": "if soundharya rows 49 km upstream and 77 km down steam taking 7 hours each , then the speed of the stream", "role": "user" }, { "content": "If Soundharya rows 49 km upstream and 77 km downstream in 7 hours each, what is the speed of the stream?", "role": "assistant" } ]

[ { "content": "the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 140 inclusive is the digital sum a multiple of 7 ?", "role": "user" }, { "content": "What is the number of integers between 24 and 140 (inclusive) for which the sum of their digits is a multiple of 7?", "role": "assistant" } ]

[ { "content": "the ratio of 2 numbers is 2 : 5 and their h . c . f . is 6 . their l . c . m . is ?", "role": "user" }, { "content": "What is the LCM of two numbers with a ratio of 2:5 and an HCF of 6?", "role": "assistant" } ]

[ { "content": "20 beavers , working together in a constant pace , can build a dam in 6 hours . how many hours will it take 12 beavers that work at the same pace , to build the same dam ?", "role": "user" }, { "content": "If 20 beavers working at a constant pace can build a dam in 6 hours, how long will it take 12 beavers working at the same pace to complete the same dam?", "role": "assistant" } ]

[ { "content": "if a student loses 6 kilograms , he will weigh twice as much as his sister . together they now weigh 126 kilograms . what is the student ' s present weight in kilograms ?", "role": "user" }, { "content": "If a student loses 6 kilograms, he will weigh twice as much as his sister. Together they now weigh 126 kilograms. What is the student's current weight in kilograms?\n\nHere's a paraphrased version:\n\nIf a student sheds 6 kilograms, his weight will be double his sister's. Their combined weight is currently 126 kilograms. What is the student's current weight in kilograms?", "role": "assistant" } ]

[ { "content": "a person buys an article at rs . 575 . at what price should he sell the article so as to make a profit of 15 % ?", "role": "user" }, { "content": "At what selling price can the article be sold to earn a 15% profit after being purchased for Rs. 575?", "role": "assistant" } ]

[ { "content": "two consultants can type up a report in 12.5 hours and edit it in 7.5 hours . if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone , how many t hours will it take if jim types the report and mary edits it immediately after he is done ?", "role": "user" }, { "content": "How many hours will it take if Jim types the report and Mary edits it immediately after he is done, given that two consultants can complete the report in 12.5 hours and the editing in 7.5 hours, while Mary alone takes 30 hours to type and Jim alone takes 12 hours to edit?", "role": "assistant" } ]

[ { "content": "an amount of rs . 1638 was divided among a , b and c , in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of a ?", "role": "user" }, { "content": "A total of Rs. 1638 was split among A, B, and C in a 1/2:1/3:1/4 ratio; what is A's portion?", "role": "assistant" } ]

[ { "content": "what least value should be replaced by * in 2551112 * so the number become divisible by 6", "role": "user" }, { "content": "What is the smallest digit that can replace the asterisk in 2551112* to make the number divisible by 6?", "role": "assistant" } ]

[ { "content": "what number is obtained by adding the units digits of 734 ^ 100 and 347 ^ 83 ?", "role": "user" }, { "content": "What number is obtained by adding the units digits of 734 to the power of 100 and 347 to the power of 83 ?", "role": "assistant" } ]

[ { "content": "in two triangles , the ratio of the areas is 4 : 3 and the ratio of their heights is 3 : 4 . find the ratio of their bases .", "role": "user" }, { "content": "What is the ratio of the bases of the two triangles if their area ratio is 4:3 and their height ratio is 3:4.", "role": "assistant" } ]

[ { "content": "a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 15 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ?", "role": "user" }, { "content": "What profit will the trader make on 40 metres of cloth if he sells it at a Rs. 15 profit per metre", "role": "assistant" } ]

[ { "content": "what is the probability of drawing a queen from a deck of 52 cards ?", "role": "user" }, { "content": "What are the chances of pulling a queen from a standard deck of 52 cards ?", "role": "assistant" } ]

[ { "content": "a thief goes away with a santro car at a speed of 50 kmph . the theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start ?", "role": "user" }, { "content": "Here's a paraphrased version of the given text, preserving the original structure and semantics:\n\nA thief escapes with a Santro car at 50 km/h. The theft is discovered half an hour later, and the owner chases after on a bike at 60 km/h. How long will it take for the owner to catch up to the thief from the beginning?", "role": "assistant" } ]

[ { "content": "the average weight of 18 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg . find the average weights of all the boys in the class .", "role": "user" }, { "content": "What is the average weight of all the boys in the class when 18 boys have an average weight of 50.25 kg and the other 8 boys have an average weight of 45.15 kg?", "role": "assistant" } ]

[ { "content": "how many words , with or without meaning , can be formed using all letters of the word good using each letter exactly once ?", "role": "user" }, { "content": "What is the number of words, meaningful or meaningless, that can be created using all the letters of \"good\" with each letter used only once?", "role": "assistant" } ]

[ { "content": "in right triangle abc , ac is the hypotenuse . if ac is 40 and ab + bc = 60 , what is the area of the triangle abc ?", "role": "user" }, { "content": "In right triangle ABC, with AC as the hypotenuse, what is the area of the triangle if AC measures 40 and AB + BC equals 60?", "role": "assistant" } ]

[ { "content": "the ratio of the area of a square to that of the square drawn on its diagonal is", "role": "user" }, { "content": "the ratio of the area of a square to the area of the square constructed on its diagonal is", "role": "assistant" } ]

[ { "content": "a 4 digit number divisible by 7 becomes divisible by 3 when 19 is added to it . the largest such number is :", "role": "user" }, { "content": "What is the largest 4-digit number that is divisible by 7 and becomes divisible by 3 when 19 is added to it?", "role": "assistant" } ]

[ { "content": "what is the probability for a family with 3 children to have a girl and two boys ( assuming the probability of having a boy or a girl is equal ) ?", "role": "user" }, { "content": "What are the chances of a family with three children having one girl and two boys, assuming equal probabilities for boys and girls?", "role": "assistant" } ]

[ { "content": "a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 5 - inch increase in the length of the shoe . if the largest size of this shoe is 30 % longer than the smallest size , how long , in inches , is the shoe in size 15 ?", "role": "user" }, { "content": "Here's a paraphrased version of the text:\n\nA certain men's athletic shoe is manufactured in integer sizes ranging from 8 to 17. Each size increment represents a 1/5-inch increase in shoe length. If the largest shoe size is 30% longer than the smallest, what is the length, in inches, of the size 15 shoe?", "role": "assistant" } ]

[ { "content": "if x + | x | + y = 7 and x + | y | - y = 5 what is x + y = ?", "role": "user" }, { "content": "Given that x + | x | + y = 7 and x + | y | - y = 5, what is the value of x + y?", "role": "assistant" } ]

[ { "content": "a 240 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?", "role": "user" }, { "content": "What is the length of the other train when a 240m long train traveling at 120km/hr crosses it in 9 seconds while the other train is moving in the opposite direction at 80km/hr?", "role": "assistant" } ]

[ { "content": "34 . the side surface of a cylinder is rolled with a rectangular plate . if the perimeter of the circular base is 9 feet , and the diagonal of the rectangular plate was 15 ft . what is height of the of the cylinder ?", "role": "user" }, { "content": "What is the height of the cylinder if its circular base has a perimeter of 9 feet and the rectangular plate rolled around its side surface has a diagonal of 15 feet?", "role": "assistant" } ]

[ { "content": "what quantity of water should be added to reduce 9 liters of 50 % acidic liquid to 30 % acidic liquid ?", "role": "user" }, { "content": "What amount of water is required to dilute 9 liters of 50% acidic solution to a 30% acidic solution?", "role": "assistant" } ]

[ { "content": "a man gains 20 % by selling an article for a certain price . if the sells it at double the price , the percentage of profit will be :", "role": "user" }, { "content": "What percentage profit will the man make if he sells the article at double the price after initially gaining a 20% profit from selling it at a certain price?", "role": "assistant" } ]

[ { "content": "the average weight of 20 persons sitting in a boat had some value . a new person added to them whose weight was 46 kg only . due to his arrival , the average weight of all the persons decreased by 5 kg . find the average weight of first 20 persons ?", "role": "user" }, { "content": "What was the average weight of the initial 20 people in the boat before the new person with a weight of 46 kg joined, causing the overall average to decrease by 5 kg?", "role": "assistant" } ]

[ { "content": "a and b can together finish a work in 40 days . they worked together for 10 days and then b left . after another 18 days , a finished the remaining work . in how many days a alone can finish the job ?", "role": "user" }, { "content": "If a and b can complete a task together in 40 days, and after working together for 10 days and b leaving, a finishes the rest in 18 more days, how long would it take a to complete the job alone?", "role": "assistant" } ]