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dogtooth

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[ { "content": "A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process, it takes 10 minutes for the angle of elevation to change from 45° to 60°. After how much more time will this car reach the base of the tower?", "role": "user" }, { "content": "How much longer will it take for the car to reach the base of the tower after the angle of elevation changes from 45° to 60° in 10 minutes while it is being driven in a straight line at a uniform speed towards the base of a vertical tower.", "role": "assistant" } ]

[ { "content": "The original price of an item is discounted 22%. A customer buys the item at this discounted price using a $20-off coupon. There is no tax on the item, and this was the only item the customer bought. If the customer paid $1.90 more than half the original price of the item, what was the original price of the item?", "role": "user" }, { "content": "What was the original price of the item if the customer paid $1.90 more than half of it after a 22% discount and a $20-off coupon, with no tax applied?", "role": "assistant" } ]

[ { "content": "Find out which of the following values is the multiple of X, if it is divisible by 9 and 12?", "role": "user" }, { "content": "Which value among the options is a multiple of X if it can be divided evenly by both 9 and 12?", "role": "assistant" } ]

[ { "content": "If the probability that Stock A will increase in value during the next month is 0.56, and the probability that Stock B will increase in value during the next month is 0.74. What is the greatest value for the probability that neither of these two events will occur?", "role": "user" }, { "content": "What is the maximum probability that neither Stock A nor Stock B will increase in value next month, given the probabilities of 0.56 for Stock A and 0.74 for Stock B?", "role": "assistant" } ]

[ { "content": "A trader sold an article at a profit of 20% for Rs.360. What is the cost price of the article?", "role": "user" }, { "content": "At a 20% profit, an article was sold for Rs.360; what was its cost price?", "role": "assistant" } ]

[ { "content": "20 marbles were pulled out of a bag of only white marbles, painted black, and then put back in. Then, another 20 marbles were pulled out, of which 1 was black, after which they were all returned to the bag. If the percentage of black marbles pulled out the second time represents their percentage in the bag, how many marbles in total Q does the bag currently hold?", "role": "user" }, { "content": "What is the total number of marbles Q in the bag if the proportion of black marbles in the second draw represents their proportion in the bag?", "role": "assistant" } ]

[ { "content": "Find the total no. of distinct bike no.'s that can beformed using 2 letters followed by 2 no.'s. How many letters need to be distinct?", "role": "user" }, { "content": "What is the total number of unique bike numbers that can be created using a 2-letter and 2-digit combination, and how many of these letters must be different?", "role": "assistant" } ]

[ { "content": "A train running at a speed of 100 miles/hour, takes 10 hours to reach its destination. After covering quarter of the distance, it starts raining and the train has to be slowed to speed of 75 miles/hour. What is the total journey duration?", "role": "user" }, { "content": "How long does the trip take for a train traveling at 100 miles/hour, which is reduced to 75 miles/hour after a quarter of the distance is covered in 10 hours at full speed?", "role": "assistant" } ]

[ { "content": "Of the 200 students in a school, at least 45% attended the prom night and at least 35% took part in the debating session. What is the maximum number of students who could have neither attended the prom night nor the debating session?", "role": "user" }, { "content": "Out of 200 students, at least 45% went to the prom and at least 35% took part in the debate. What is the highest number of students who could have attended neither the prom nor the debate?", "role": "assistant" } ]

[ { "content": "A sales person gets a 10% commission on each sale he makes. How many sales of $250 each must he make in order to reach a salary of at least $1000?", "role": "user" }, { "content": "What number of $250 sales will a salesperson need to make to earn a minimum of $1000, given a 10% commission rate?", "role": "assistant" } ]

[ { "content": "A company produces 420 units of a particular computer component every month, at a production cost to the company of $110 per component, and sells all of the components by the end of each month. What is the minimum selling price per component that will guarantee that the yearly profit (revenue from sales minus production costs) will be at least $626,400 ?", "role": "user" }, { "content": "What is the lowest price at which the company must sell each unit in order to make a yearly profit of at least $626,400, given that it produces 420 units per month at a cost of $110 each ?", "role": "assistant" } ]

[ { "content": "At a certain factory, 10 percent of the staplers produced on Monday were defective and 2 percent of the non-defective staplers were rejected by mistake. If 72 of the non-defective staplers were rejected, what was the number of staplers produced that day?", "role": "user" }, { "content": "At a certain factory, 10 percent of the staplers produced on Monday were defective, while 2 percent of the non-defective ones were mistakenly rejected. Given that 72 of the non-defective staplers were mistakenly rejected, how many staplers were produced on that day?", "role": "assistant" } ]

[ { "content": "Machine A puts out a yo-yo every 6 minutes. Machine B puts out a yo-yo every 9 minutes. After how many minutes will they have produced 10 yo-yos?", "role": "user" }, { "content": "How many minutes will it take for Machines A and B to produce a total of 10 yo-yos?", "role": "assistant" } ]

[ { "content": "Add: +45 and -30", "role": "user" }, { "content": "Combine 45 and negative 30.", "role": "assistant" } ]

[ { "content": "In how many ways can the letters of the word \"PROBLEC\" be rearranged to make 7 letter words such that none of the letters repeat?", "role": "user" }, { "content": "How many 7-letter words can be formed using the letters of \"PROBLEC\" without repetition?", "role": "assistant" } ]

[ { "content": "Let A and B be independent events with P (A) = 0.2 and P(B) = 0.8. Find P(A/B)?", "role": "user" }, { "content": "What is the probability of A given B, if A and B are independent events with probabilities of 0.2 and 0.8, respectively?", "role": "assistant" } ]

[ { "content": "Consider there is an staircase elevator and you are coming down. If you walk 20 steps and stop, then you reach bottom in 10 minutes. If you walk 10 steps and stop, you reach to the ground in 20 minutes. What is the speed of the elevator?", "role": "user" }, { "content": "What is the elevator's speed when walking 20 steps and stopping results in a 10-minute descent to the bottom, while walking 10 steps and stopping takes 20 minutes to reach the ground?", "role": "assistant" } ]

[ { "content": "Last year, a Home Appliance Store sold an average(arithmetic mean) of 42 microwave ovens per month. In the first 10 months of this year,the store has sold an average(arithmetic mean) of only 20 microwave ovens per month. What was the average number of microwave ovens sold per month during the entire 22 months period ?", "role": "user" }, { "content": "What was the average monthly sales of microwave ovens for the total 22-month period?", "role": "assistant" } ]

[ { "content": "An exam is given in a certain class. The average (arithmetic mean) of the highest score and the lowest score is equal to x. If the average score for the entire class is equal to y and there are z students in the class, where z > 5, then in terms of x, y, and z, what is the average score for the class excluding the highest and lowest scorers?", "role": "user" }, { "content": "What is the average score of the remaining students in terms of x, y, and z, excluding the highest and lowest scores in a class of z students, where the average of the highest and lowest score is x and the overall class average is y?", "role": "assistant" } ]

[ { "content": "[5 + ? × 19 - 15 - 7]/[13 × 13 - 156] = 6", "role": "user" }, { "content": "What number should replace the question mark in the following equation: [5 + ? × 19 - 15 - 7]/[13 × 13 - 156] = 6", "role": "assistant" } ]

[ { "content": "A grocer makes a 25% profit on the selling price for each bag of flour it sells. If he sells each bag for $100 and makes $3,000 in profit, how many bags did he sell?", "role": "user" }, { "content": "A grocer earns a 25% profit on the selling price of each bag of flour. If each bag is sold for $100 and his total profit is $3,000, what is the number of bags sold?", "role": "assistant" } ]

[ { "content": "Alex and Jacob works at a toy shop that make toys. Alex takes 7 hours to make a toy, and Jacob takes 9 hours to make a toy. During a month, both of them makes 35 toys in total. If both of them have worked for almost similar number of hours how many toys have been prepared by Jacob?", "role": "user" }, { "content": "Here's a paraphrased version of the text:\n\nAlex and Jacob are employed at a toy shop that manufactures toys. Alex requires 7 hours to create a toy, while Jacob requires 9 hours. In a month, they collectively produce 35 toys. Assuming they've worked a similar number of hours, how many toys has Jacob made?", "role": "assistant" } ]

[ { "content": "John likes to have lightly flavored tea every evening. In a 50% strong milk tea, he replaces 15% of it with milk twice. Then, he replaces 10 percent of the resultant solution with more milk.\nWhat is the final concentration of tea John drinks?", "role": "user" }, { "content": "John prefers a mild tea every evening. In a 50% strong milk tea, he replaces 15% of it with milk twice. Then, he replaces 10 percent of the resultant solution with more milk.\nWhat is the final tea concentration that John consumes?", "role": "assistant" } ]

[ { "content": "In a class 1/16 of the students study math, 1/10 of the students study bio, 1/8 of the students study english. The total number of students is a 4 digit number. Find the diffrence between maximum number of students and minimum number of students.", "role": "user" }, { "content": "What is the difference between the maximum and minimum possible number of students in a 4-digit total, given that 1/16 study math, 1/10 study biology, and 1/8 study English?", "role": "assistant" } ]

[ { "content": "On a normal day Bill usually averages about 15 mph when riding his bicycle. On a windy day, his speed is reduced by 4 mph. How far can Bill travel on a windy day in 21 minutes? Round to the nearest hundredth.", "role": "user" }, { "content": "What distance can Bill cover on a windy day in 21 minutes, given his speed is reduced by 4 mph from the usual 15 mph?", "role": "assistant" } ]

[ { "content": "A retailer sold an appliance for 40 percent above cost, which represented a gross profit of $20.00. For what price did the retailer sell the appliance?", "role": "user" }, { "content": "At what price was the appliance sold by the retailer", "role": "assistant" } ]

[ { "content": "At 6% per annum simple interest, Rahul borrowed Rs. 500. What amount will he pay to clear the debt after 4 years", "role": "user" }, { "content": "What amount will Rahul pay after 4 years to repay the Rs. 500 loan at a 6% simple annual interest rate?", "role": "assistant" } ]

[ { "content": "A computer routine was developed to generate two numbers (x,y) the first being a random number between 0 and 100 inclusive, and the second being less than or equal to the square root of the first. Each of the following pair satisfies the routine except", "role": "user" }, { "content": "What pairs of numbers (x,y) do not meet the criteria of a computer routine that generates a random number x between 0 and 100 inclusive, and y less than or equal to the square root of x?", "role": "assistant" } ]

[ { "content": "A jeep travels a certain distance taking 6 hours in the forward journey. During the return journey, it increased its speed by 12km/hr and took 4 hours. What is the distance travelled by the jeep?", "role": "user" }, { "content": "How far did the jeep travel if it took 6 hours going and 4 hours returning with an increased speed of 12km/hr?", "role": "assistant" } ]

[ { "content": "When I was 2 years old, my brother was half my age. Now I am 60 years old, how old is my brother?", "role": "user" }, { "content": "At 2 years old, my brother was half my age; now that I'm 60, what's my brother's age?", "role": "assistant" } ]

[ { "content": "The original retail price of an appliance was 60 percent more than its wholesale cost. If the appliance was actually sold for 20 percent less than the original retail price, then it was sold for what percent more than its wholesale cost?", "role": "user" }, { "content": "What percent above the wholesale cost was the sale price of the appliance, given it was sold at 20 percent less than a retail price that was 60 percent higher than the wholesale cost?", "role": "assistant" } ]

[ { "content": "On a map, the length of the road from Town F to Town G is measured to be 20 inches. On this map, 1/4 inch represents an actual distance of 10 miles. What is the actual distance, in miles, from Town F to Town G along this road?", "role": "user" }, { "content": "If 1/4 inch on the map corresponds to 10 miles in real life, what is the actual distance from Town F to Town G, given the road's length is 20 inches on the map?", "role": "assistant" } ]

[ { "content": "When folded into two equal halves a rectangular sheet had a perimeter of 48cm for each part folded along one set of sides and the same is 66cm when folded along the other set of sides. Find the area of the sheet.", "role": "user" }, { "content": "What is the area of a rectangular sheet that, when folded in half along one set of sides, has a perimeter of 48cm for each half, and 66cm when folded along the other set of sides?", "role": "assistant" } ]

[ { "content": "Suppose you can travel from a place M to a place N by 3 buses, from place N to place O by 4 buses, from place O to place P by 1 buses and from place P to place Q by 3 buses. In how many ways can you travel from M to Q ?", "role": "user" }, { "content": "How many different routes are there from M to Q if you can take 3 buses from M to N, 4 buses from N to O, 1 bus from O to P, and 3 buses from P to Q?", "role": "assistant" } ]

[ { "content": "A rectangular solid, 3 x 4 x 15, is inscribed in a sphere, so that all eight of its vertices are on the sphere. What is the diameter of the sphere?", "role": "user" }, { "content": "What is the diameter of the sphere that inscribes a 3 x 4 x 15 rectangular solid at its eight vertices?", "role": "assistant" } ]

[ { "content": "A starts travel towards south 3km, then travel 5 km towards east, and again travels 3 km to north, and finally travels 2km towards west. In the end how far from is A from home?", "role": "user" }, { "content": "How far is A from the starting point after moving 3km south, 5km east, 3km north, and 2km west?", "role": "assistant" } ]

[ { "content": "While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs. 15 less as profit. The marked price of the watch is:", "role": "user" }, { "content": "What is the marked price of the watch when the shopkeeper gives a 5% discount, and then earns Rs. 15 less in profit when the discount is increased to 7%?", "role": "assistant" } ]

[ { "content": "A student instead of finding the value of 7/8 of a number, found the value of 7/18 of the number. If his answer differed from the actual one by 770, find the that number.", "role": "user" }, { "content": "What is the number if a student mistakenly calculates 7/18 of it instead of 7/8 and gets an answer 770 less than the correct one?", "role": "assistant" } ]

[ { "content": "The monthly salary S of a shop assistant is the sum of a fixed salary of $500 plus 5% of all monthly sales. What should the monthly sales be so that her monthly salary reaches $1500?", "role": "user" }, { "content": "To reach a $1500 monthly salary, what amount of monthly sales must the shop assistant make, considering her base salary of $500 and 5% commission?", "role": "assistant" } ]

[ { "content": "An aeroplane flies along the four sides of a square at the speeds of 200, 400, 600 and 800km/hr. Find the average speed of the plane around the field?", "role": "user" }, { "content": "What is the average speed of the plane as it travels around the square at speeds of 200, 400, 600, and 800 km/hr along its four sides?", "role": "assistant" } ]

[ { "content": "Jack buys 18 sharpeners (white and brown) for rs. 100. If he pays 1 rupee more for each white than brown sharpeners. How many of white and how many brown sharpeners did he buy?", "role": "user" }, { "content": "If Jack purchases 18 sharpeners in white and brown for 100 rupees and pays an extra rupee for each white sharpener than the brown ones, how many white and brown sharpeners did he purchase?", "role": "assistant" } ]

[ { "content": "Hoses A and B spout water at different constant rates, and hose A can fill a certain pool in 8 hours. Hose A filled the pool alone for the first 2 hours and the two hoses, working together, then finished filling the pool in another 3 hours. How many hours would it have taken hose B, working alone, to fill the entire pool?", "role": "user" }, { "content": "Working at different rates, hoses A and B fill a pool. If hose A fills the pool in 8 hours and, after 2 hours of solo work, finishes the pool in 3 more hours with hose B, how long would hose B take to fill the pool alone?", "role": "assistant" } ]

[ { "content": "If 120 is reduced to 96, what is the reduction percent?", "role": "user" }, { "content": "What percentage decrease is there from 120 to 96?", "role": "assistant" } ]

[ { "content": "I know a 5 digit number having a property that with a 1 after it, it is three times as large as it would be with a 1 before it.\nWhat is that number?", "role": "user" }, { "content": "What is the 5-digit number that, when a 1 is appended to it, is three times its value when a 1 is prepended to it?", "role": "assistant" } ]

[ { "content": "At Daifu university, 24% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team?", "role": "user" }, { "content": "At Daifu university, 24% of all students are members of both a chess club and a swim team. What percentage of the total student population at Daifu are members of the swim team, given that 20% of the swim team are non-chess club members?", "role": "assistant" } ]

[ { "content": "If the population of a city increases by 5 % annually, what will be the population of the city in 2 years time if its current population is 78000?", "role": "user" }, { "content": "If a city's population is currently 78000 and it increases by 5% each year, what will the population be after 2 years?", "role": "assistant" } ]

[ { "content": "Two cars start at the same time from opposite ends of a highway that is 50 miles long. One car is riding at 12 mph and the second car is riding at 13 mph. How long after they begin will they meet?", "role": "user" }, { "content": "Two cars begin at the same time from opposite ends of a 50-mile highway, with one traveling at 12 mph and the other at 13 mph. How long will it take for them to meet?", "role": "assistant" } ]

[ { "content": "A shopkeeper employed a servant at a monthly salary of 1500. In addition to it, he agreed to pay him a commission of 15% on the monthly sale. How much sale in Rupees should the servant do if he wants his monthly income as 6000?", "role": "user" }, { "content": "What amount of monthly sales in Rupees will the servant need to make to earn a total of 6000, given his base salary of 1500 and 15% commission?", "role": "assistant" } ]

[ { "content": "A man borrows Rs.360 If he pays it back in 12 monthly installments of Rs.31.50, what is his interest rate?", "role": "user" }, { "content": "If a man repays a Rs.360 loan in 12 monthly installments of Rs.31.50, what is the interest rate charged?", "role": "assistant" } ]

[ { "content": "The price of a product is reduced by 30% . By what percentage should it be increased to make it 100%", "role": "user" }, { "content": "To make it 100%, by what percentage should the product's price be increased after a 30% reduction?", "role": "assistant" } ]

[ { "content": "I have a money pouch containing Rs. 700. There are equal number of 25 paise coins, 50 paise coins and one rupee coins.\nHow many of each are there?", "role": "user" }, { "content": "What is the quantity of each type of coin in the pouch?", "role": "assistant" } ]

[ { "content": "A man spends Rs. 3500 per month and saves 12 1/2% of his income. His monthly income is ?", "role": "user" }, { "content": "What is the monthly income of the man who spends Rs. 3500 and saves 12 1/2% of his income?", "role": "assistant" } ]

[ { "content": "Five dozen toys are packed in a box and 98 boxes are kept in a tempo. How many tempos can lift 29400 toys in one round ?", "role": "user" }, { "content": "What is the number of tempos required to transport 29400 toys at one time, given that a tempo can carry 98 boxes, with each box containing five dozen toys?", "role": "assistant" } ]

[ { "content": "There are 10 oranges in a basket. Find the no. of ways in which 2 oranges are chosen from the basket?", "role": "user" }, { "content": "How many combinations of 2 oranges can be selected from a basket containing 10 oranges?", "role": "assistant" } ]

[ { "content": "A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?", "role": "user" }, { "content": "How many days will it take Mr. Blue to finish the painting contract?", "role": "assistant" } ]

[ { "content": "Train A leaves a station every 16 minutes and Train B leaves every 17 minutes. If both trains just left the station simultaneously, how long until they do so again?", "role": "user" }, { "content": "How long will it take for both trains to depart the station together again, given that Train A departs every 16 minutes and Train B every 17 minutes?", "role": "assistant" } ]

[ { "content": "A hollow cube of size 5cm is taken, with the thickness of 1cm. It is made of smaller cubes of size 1cm .If the outer surface of the cube is painted how many faces of the smaller cubes remain unpainted?", "role": "user" }, { "content": "How many faces of the smaller 1cm cubes remain unpainted if a 5cm hollow cube with a 1cm thickness is painted on the outside?", "role": "assistant" } ]

[ { "content": "In a chocolate store, all chocolates are either vanilla or cocoa flavored only. 10% of the chocolates are cocoa flavored, 90% of the rest are squashed. What percentage of the chocolates are both vanilla flavored and not squashed?", "role": "user" }, { "content": "In a chocolate shop, all chocolates are either vanilla or cocoa flavored. 10% are cocoa flavored, 90% of the remaining ones are squashed. What percentage of chocolates are vanilla flavored but not squashed?", "role": "assistant" } ]

[ { "content": "There is well of depth 30m and frog is at bottom of the well. He jumps 3m up one day and falls back 2m down the same day. How many days will it take for the frog to come out of the well?", "role": "user" }, { "content": "A 30m deep well has a frog at the bottom. The frog climbs 3m and slips back 2m daily. What is the number of days until the frog escapes the well?", "role": "assistant" } ]

[ { "content": "The sum of the 5 consecutive two digit odd numbers when divided by 10 becomes a perfect square, which of the following can be one of these 5 numbers?", "role": "user" }, { "content": "Which of the following numbers could be one of five consecutive two-digit odd numbers whose sum, when divided by 10, yields a perfect square?", "role": "assistant" } ]

[ { "content": "In a class, 8% of total students are interested in Football. 4/5 of total students are interested in Cricket. 10% of total students are interested in Basketball and remaining 20 students are not interested in any games. How many students are there in the class?", "role": "user" }, { "content": "What is the total number of students in the class, given that 8% are interested in Football, 4/5 in Cricket, 10% in Basketball, and 20 students in none?", "role": "assistant" } ]

[ { "content": "Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years. What is definitely the difference between R and Q's age?", "role": "user" }, { "content": "R and T's combined age is 50 years, so what is the exact age difference between R and Q, given that Q's age falls exactly between R and T?", "role": "assistant" } ]

[ { "content": "Calculate the maximum distance you can travel with $8.50 on a cab which charges $3.50 for the first quarter-mile and 10 cents for each additional quarter mile.", "role": "user" }, { "content": "What's the maximum distance you can travel in a cab that charges $3.50 for the first quarter-mile and 10 cents for each additional quarter-mile with a budget of $8.50?", "role": "assistant" } ]

[ { "content": "In IPL season, Sachin current batting average is 51. In the finals, he scores 78 runs, then is batting average will be 54. Find out the total number of matches played by Sachin in this season.", "role": "user" }, { "content": "What is the total number of matches played by Sachin this season if his current batting average is 51, then increases to 54 after scoring 78 runs in the finals.", "role": "assistant" } ]

[ { "content": "Amy is organizing her bookshelves and finds that she has 10 different types of books. She then codes each book with either a single letter or a pair of two different letters. If each type of book is uniquely represented by either a single letter or pair of letters, what is the smallest number of letters Amy will need to create the codes for all 10 types of books? (Assume the order of letters in a pair does not matter.)", "role": "user" }, { "content": "What is the minimum number of letters Amy needs to uniquely code her 10 different book types with either single letters or pairs of distinct letters, considering the order of letters in pairs doesn't matter?", "role": "assistant" } ]

[ { "content": "A rectangular piece of 150 sq m has a length which is 1m more than the 4 times the breadth. What is the perimeter of the piece?", "role": "user" }, { "content": "A 150 sq m rectangle has a length 1m longer than 4 times its breadth - what is its perimeter?", "role": "assistant" } ]

[ { "content": "One gram of a certain health food contains 9 percent of the minimum daily requirement of vitamin E and 8 percent of the minimum daily requirement of vitamin A. If vitamins E and A are to be obtained from no other source, how many grams of the health food must be eaten daily to provide at least the minimum daily requirement of both vitamins?", "role": "user" }, { "content": "What is the minimum amount of the health food, in grams, that needs to be consumed daily to meet the minimum daily requirements of vitamins E and A, assuming no other sources are available?", "role": "assistant" } ]

[ { "content": "Assistants are needed to prepare for preparation. Each helper can make either 2 large cakes or 35 small cakes/hr. The kitchen is available for 3 hours and 20 large cakes & 700 small cakes are needed. How many helpers are required?", "role": "user" }, { "content": "To prepare, assistants are required. A helper can produce either 2 large cakes or 35 small cakes in an hour. The kitchen is available for 3 hours and the requirements are 20 large cakes & 700 small cakes. What is the number of helpers needed?", "role": "assistant" } ]

[ { "content": "R, S, T, and U are points on a line, and U is the midpoint of line segment ST. If the lengths of line segments RS, RT, and ST are 5, 17, and 22, respectively. What is the length of line segment RU?", "role": "user" }, { "content": "Given points R, S, T, and U on a line, with U as the midpoint of ST, and the lengths of RS, RT, and ST being 5, 17, and 22, what is the length of RU?", "role": "assistant" } ]

[ { "content": "Six pita breads contain the same amount of falafel as do two rolls. Three rolls contain the same amount of falafel as five baguettes do. Two baguettes contain the same amount of falafel as how many pita breads?", "role": "user" }, { "content": "Two baguettes contain the same amount of falafel as how many pita breads do?", "role": "assistant" } ]

[ { "content": "A shopkeeper in order to promote his new shop put a discount of 20% on all the items for one day. Now he must sell the items at original price the other day. By what percentage must he increase the price to original?", "role": "user" }, { "content": "To return to the original prices, what percentage increase is needed after a 20% discount?", "role": "assistant" } ]

[ { "content": "The bus fare for two persons for travelling between Agra and Aligarh id four-thirds the train fare between the same places for one person. The total fare paid by 6 persons travelling by bus and 8 persons travelling by train between the two places is Rs.1512. Find the train fare between the two places for one person?", "role": "user" }, { "content": "What is the train fare for one person between Agra and Aligarh if the bus fare for two persons is four-thirds the train fare for one person, and six bus passengers and eight train passengers paid a total of Rs.1512 to travel between the two places?", "role": "assistant" } ]

[ { "content": "A rectangle has a length of 8 centimeters and a width of 3 centimeters. Find the perimeter.", "role": "user" }, { "content": "What is the perimeter of a rectangle with a length of 8 centimeters and a width of 3 centimeters?", "role": "assistant" } ]

[ { "content": "Suppose you want to arrange your English, Hindi, Mathematics, History, Geography and Science books on a shelf. In how many ways can you do it ?", "role": "user" }, { "content": "How many ways are there to arrange your English, Hindi, Mathematics, History, Geography, and Science books on a shelf?", "role": "assistant" } ]

[ { "content": "A straight picket fence is composed of x pickets each of which is 1/2 inch wide. If there are 6 inches of space between each pair of pickets, which of the following represents the length of fence in feet?", "role": "user" }, { "content": "What is the length in feet of a straight picket fence consisting of x pickets, each 1/2 inch wide, with 6 inches of space between each pair of pickets?", "role": "assistant" } ]

[ { "content": "A ship went on a voyage. After it had traveled 180 miles a plane started with 10 times the speed of the ship. Find the distance when they meet from starting point.", "role": "user" }, { "content": "What distance from the starting point will the ship and plane meet after the plane catches up, traveling 10 times faster, 180 miles into the ship's journey?", "role": "assistant" } ]

[ { "content": "In a large forest, 300 deer were caught, tagged, and returned during 2001. During 2002, 500 deer were caught at random, of which only 20 had tags from the previous year. If the percent of deer in the forest that had tags during the second year and were caught in the 500 deer sample is representative of the percent of the total deer population in the forest with tags, what is the total deer population in the forest (assuming no change in population between 2001 and 2002)?", "role": "user" }, { "content": "Assuming the proportion of tagged deer in the sample is representative of the total population, what is the total number of deer in the forest (given no population change between 2001 and 2002) if 20 out of 500 randomly caught deer had tags from the previous year when 300 deer were originally tagged?", "role": "assistant" } ]

[ { "content": "In a railway station, there are two trains going. One in the harbor line and one in the main line, each having a frequency of 10 minutes. The main line service starts at 5 o'clock and the harbor line starts at 5.02 A.M. A man goes to the station every day to catch the first train that comes. What is the probability of the man catching the first train?", "role": "user" }, { "content": "What are the chances that the man will catch the first train at the station?", "role": "assistant" } ]

[ { "content": "The average (arithmetic mean) of the weight of 10 vehicles is 12.2 tons. The average weight of the group of vehicles increased by 2.6 tons after a new heavy duty truck was added to the group? What is the weight in tons of the heavy duty truck?", "role": "user" }, { "content": "What is the weight of the heavy duty truck in tons that increased the average weight of the group by 2.6 tons", "role": "assistant" } ]

[ { "content": "Boomtown urban planners expect the city’s population to increase by 10% per year over the next two years. If that projection were to come true, the population two years from now would be exactly double the population of one year ago. Which of the following is closest to the percent population increase in Boomtown over the last year?", "role": "user" }, { "content": "What is the approximate percent population increase in Boomtown over the last year if its population doubles in two years with a 10% annual growth rate?", "role": "assistant" } ]

[ { "content": "Arjun and Sajal are friends, each has some money. If Arun gives $30 to Sajal, the Sajal will have twice the money left with Arjun. But, if Sajal gives $10 to Arjun, Arjun will have thrice as much as is left with Sajal. How much money does each have?", "role": "user" }, { "content": "What are the amounts of money that Arjun and Sajal have, considering that if Arjun gives $30 to Sajal, Sajal's remaining money will be double Arjun's, but if Sajal gives $10 to Arjun, Arjun's remaining money will be triple Sajal's?", "role": "assistant" } ]

[ { "content": "Julie’s yard is rectangular. One side of the yard is 100 feet wide. The total area of the yard is 3,000 square feet. What is the length of the other side of the yard?", "role": "user" }, { "content": "Here is a paraphrased version of the given text:\n\nJulie's yard is a rectangle. One side of the yard measures 100 feet in width. The yard's total area is 3,000 square feet. What is the length of the adjacent side of the yard?", "role": "assistant" } ]

[ { "content": "The greatest common factor of two positive integers is 11. The least common multiple of these two integers is 7700. If one of the integers is 350, what is the other?", "role": "user" }, { "content": "Given that the GCF of two positive integers is 11 and their LCM is 7700, what is the other integer if one is 350?", "role": "assistant" } ]

[ { "content": "A square piece of cloth is trimmed by 4 feet on one edge to form a rectangular piece, which is then cut diagonally in half to create two triangles. If the area of each of triangle is 70 square feet, what was the perimeter (in feet) of the original piece of square cloth?", "role": "user" }, { "content": "What was the original square cloth's perimeter in feet after a 4-foot trim on one edge and diagonal cut created two 70-square-foot triangles?", "role": "assistant" } ]

[ { "content": "The length of the ribbon was originally 30 cm. It was reduced in the ratio 5 : 3. What is its length now?", "role": "user" }, { "content": "The ribbon was initially 30 cm long and was shortened in a 5:3 ratio; what length is it now?", "role": "assistant" } ]

[ { "content": "M = abc is a three digit number and N = cba, if M > N and M - N + 396c = 990. Then how many values of M are more than 300.", "role": "user" }, { "content": "How many values of M exceed 300 if M = abc is a three-digit number, N = cba, M > N, and M - N + 396c = 990.", "role": "assistant" } ]

[ { "content": "there are more than 501 students in a school such that 20% of them exactly took physics and 28% of them exactly took math. What could be the least possible no of students in the school?", "role": "user" }, { "content": "What is the minimum number of students in the school if 20% take physics and 28% take math, given that there are more than 501 students?", "role": "assistant" } ]

[ { "content": "If Raj was one-third as old as Rahim 5 years back and Raj is 17 years old now, How old is Rahim now?", "role": "user" }, { "content": "What is Rahim's current age if Raj was one-third his age 5 years ago and is 17 now?", "role": "assistant" } ]

[ { "content": "A cow is tethered in the middle of a field with a 14 feet long rope. If the cow grazes 10 sq.ft. per day, then approximately what time will be taken by the cow to graze the whole field?", "role": "user" }, { "content": "How long will it take for the cow to graze the entire field, given that it eats 10 sq.ft. of grass per day and is tied to a 14-foot rope in the center of the field?", "role": "assistant" } ]

[ { "content": "A book was sold for Rs 27.50 with a profit of 10%. If it were sold for Rs. 25.75, then would have been percentage of profit and loss ?", "role": "user" }, { "content": "What would be the percentage of profit or loss if the book was sold for Rs 25.75 instead of Rs 27.50, given a 10% profit at the original price?", "role": "assistant" } ]

[ { "content": "In how many ways can a teacher in a kindergarten school arrange a group of 3 children (Susan, Tim and Zen) on 3 identical chairs in a straight line so that Susan is on the left of Tim?", "role": "user" }, { "content": "How many ways can a kindergarten teacher arrange 3 children, including Susan, Tim, and Zen, in a straight line on 3 identical chairs with Susan to the left of Tim?", "role": "assistant" } ]

[ { "content": "The telephone bill of a certain establishment is party fixed and partly varies as the number of calls consumed. When in a certain month 540 calls made the bill is Rs.1800. In another month 620 calls are consumed then the bill becomes Rs.2040. In another month 500 units are consumed due to more\nholidays. The bill for that month would be :", "role": "user" }, { "content": "What would be the telephone bill for the month in which 500 calls were made, given that the bill is partly fixed and partly variable based on the number of calls, with 540 calls costing Rs.1800 and 620 calls costing Rs.2040?", "role": "assistant" } ]

[ { "content": "Two balls A and B rotate along a circular track. Ball A makes 2 full rotations in 26 minutes. Ball B makes 5 full rotation in 35 minutes. If they start rotating now from the same point, when will they be at the same starting point again?", "role": "user" }, { "content": "When will balls A and B, rotating along a circular track, with A completing 2 rotations in 26 minutes and B completing 5 rotations in 35 minutes, meet at their starting point again after beginning at the same point?", "role": "assistant" } ]

[ { "content": "A bookshelf contains 45 books, 30 of which are hardcover and 20 of which are fiction. What is the maximum number of books that are both hardcover and fiction?", "role": "user" }, { "content": "What is the highest possible number of books that are both hardcover and fiction on the bookshelf?", "role": "assistant" } ]

[ { "content": "A newspaper costs $4 on Sunday and $1 the rest of the days of the week. If a hotel orders twice as many papers on Sunday as it does the rest of the days of the week and pays $210 per week for newspapers, how many newspapers does it buy on Monday?", "role": "user" }, { "content": "What is the number of newspapers purchased by the hotel on Monday if it buys double the Sunday amount, which costs $4, and the rest of the week's papers, at $1, totals $210 weekly?", "role": "assistant" } ]

[ { "content": "A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 extra, each. The number of those who attended the picnic was", "role": "user" }, { "content": "How many friends attended the picnic, given that the remaining ones had to contribute Rs. 4 extra each after 4 of them didn't turn up?", "role": "assistant" } ]

[ { "content": "A wire in the shape of rectangle of length 27 cm and breadth 17 cm is rebent to form a square. What will be the measure of each side?", "role": "user" }, { "content": "What will be the length of each side of the square formed by rebending a 27 cm by 17 cm rectangular wire?", "role": "assistant" } ]

[ { "content": "A man divides Rs 8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five as much as each nephew. How much does each daughter receive ?", "role": "user" }, { "content": "How much is each daughter's share if a man distributes Rs 8600 among 5 sons, 4 daughters, and 2 nephews, with each daughter getting four times as much as each nephew and each son getting five times as much as each nephew?", "role": "assistant" } ]

[ { "content": "Silu and Meenu were walking on the road.\nSilu said, \"I weigh 51 Kgs. How much do you weigh?\"\nMeenu replied that she wouldn't reveal her weight directly as she is overweight.\nBut she said, \"I weigh 29 Kgs plus half of my weight. \"How much does Meenu weigh?", "role": "user" }, { "content": "Silu and Meenu were strolling down the road.\nSilu asked, \"I'm 51 Kgs, what's your weight?\"\nMeenu responded that she wouldn't disclose her weight directly due to being overweight.\nHowever, she hinted, \"My weight is 29 Kgs plus half of my weight.\" What's Meenu's weight?", "role": "assistant" } ]

[ { "content": "Roy was suffering from severe headaches. He went to see his doctor and the doctor gave him 5 tablets asking him to take one tablet every 15 minutes.\nHow much time will it take Roy to consume all the 5 tablets?", "role": "user" }, { "content": "Roy had severe headaches, so he visited his doctor, who prescribed 5 tablets to be taken every 15 minutes.\nHow long will it take Roy to finish all 5 tablets?", "role": "assistant" } ]