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1 | 6 | A train 220 meters long is running with a speed of 60 kmph. It passes a man who is running at a certain speed in the direction opposite to that in which the train is going, in 12 seconds. What is the speed of the man in kmph? | A train 220 meters long is running with a speed of 60 kmph. It passes a man who is running at a certain speed in the direction opposite to that in which the train is going, in 12 seconds. What is the speed of the man in kmph? |
1 | 150\% | Mark is injured so decides to spend more time reading. He used to read 2 hours a day but increased that by a certain percentage. Before he read 100 pages a day. Now, he reads 1750 pages a week. By what percentage did he increase his reading time? | Mark is injured so decides to spend more time reading. He used to read 2 hours a day but increased that by a certain percentage. Before he read 100 pages a day. Now, he reads 1750 pages a week. By what percentage did he increase his reading time? |
1 | 8 | Sarah had 60 homework problems. She finished 20 of them but still had 5 pages of problems to do. If each page has the same number of problems on it, how many problems are on each page? | Sarah had 60 homework problems. She finished 20 of them but still had 5 pages of problems to do. If each page has the same number of problems on it, how many problems are on each page? |
1 | 15.45 | Bret started on a 70-mile bicycle ride at 20 miles per hour. After a time, he became a little tired and slowed down to a certain speed for the rest of the trip. The entire trip took 4.5 hours, and Bret had ridden 2 miles when he reduced his speed. What was Bret's reduced speed? | Bret started on a 70-mile bicycle ride at 20 miles per hour. After a time, he became a little tired and slowed down to a certain speed for the rest of the trip. The entire trip took 4.5 hours, and Bret had ridden 2 miles when he reduced his speed. What was Bret's reduced speed? |
1 | 90 | Pipe A can fill a tank in 60 min. There is a second pipe in the bottom of the cistern to empty it. If both pipes are simultaneously opened, then the cistern is full in 180 min. In how much time can the second pipe alone empty the cistern? | Pipe A can fill a tank in 60 min. There is a second pipe in the bottom of the cistern to empty it. If both pipes are simultaneously opened, then the cistern is full in 180 min. In how much time can the second pipe alone empty the cistern? |
1 | 200 | On the first day of the journey, the Skipper sailed his ship halfway to the destination by traveling due east for 20 hours at a speed of 30 kilometers per hour, and then turned the ship's engines off to let them cool down. But while the engines were off, a wind storm blew his vessel backward in a westward direction. After the storm, the Skipper used his GPS device to determine the new location of the ship, and he discovered that he was only one-third of the way to his destination. How many kilometers had the ship been blown in a westward direction by the storm? | On the first day of the journey, the Skipper sailed his ship halfway to the destination by traveling due east for 20 hours at a speed of 30 kilometers per hour, and then turned the ship's engines off to let them cool down. But while the engines were off, a wind storm blew his vessel backward in a westward direction. After the storm, the Skipper used his GPS device to determine the new location of the ship, and he discovered that he was only one-third of the way to his destination. How many kilometers had the ship been blown in a westward direction by the storm? |
1 | 4 | if a , b , c , d , e and f are integers and ( ab + cdef ) < 0 , then what is the maximum number s of integers that can be negative ? | if a , b , c , d , e and f are integers and ( ab + cdef ) < 0 , then what is the maximum number s of integers that can be negative ? |
1 | 6 | A, B, and C together can finish a piece of work in 4 days. A alone can do it in some days, B alone can do it in 18 days, and C alone can do it in approximately 36 days. How many days does it take for A to finish the work alone? | A, B, and C together can finish a piece of work in 4 days. A alone can do it in some days, B alone can do it in 18 days, and C alone can do it in approximately 36 days. How many days does it take for A to finish the work alone? |
1 | 32 | Lloyd is building a house of cards. He owns 16 decks of cards that have 52 cards each. If each layer of his house of cards has the same exact number of cards, and there are 26 cards per layer, how many layers tall is his house of cards? | Lloyd is building a house of cards. He owns 16 decks of cards that have 52 cards each. If each layer of his house of cards has the same exact number of cards, and there are 26 cards per layer, how many layers tall is his house of cards? |
1 | 450 | The width of a rectangular hall is ½ of its length. The difference between its length and breadth is 15. What is the area of the hall? | The width of a rectangular hall is ½ of its length. The difference between its length and breadth is 15. What is the area of the hall? |
1 | 3/8 | Lyn donates $240 to a private organization each year where 1/3 of it goes to the community pantry project, a certain fraction goes to the local crisis fund, 1/4 of the remaining goes to livelihood project funds, and the rest is for contingency funds. If $30 goes to the contingency fund, what is the fraction of the donation that goes to the local crisis fund? | Lyn donates $240 to a private organization each year where 1/3 of it goes to the community pantry project, a certain fraction goes to the local crisis fund, 1/4 of the remaining goes to livelihood project funds, and the rest is for contingency funds. If $30 goes to the contingency fund, what is the fraction of the donation that goes to the local crisis fund? |
1 | 230 | Troy's home is 75 meters away from school while Emily's home is 98 meters away from school. Troy and Emily walk to school and back home every day. How much farther does Emily walk to school and back in five days? | Troy's home is 75 meters away from school while Emily's home is 98 meters away from school. Troy and Emily walk to school and back home every day. How much farther does Emily walk to school and back in five days? |
1 | 76 | the area of a rectangle is 360 sq . m . if its length is increased by 10 m and its width is decreased by 6 m , then its area does not change . find the perimeter of the original rectangle . | the area of a rectangle is 360 sq . m . if its length is increased by 10 m and its width is decreased by 6 m , then its area does not change . find the perimeter of the original rectangle . |
1 | 63 | There is a tetragon having all four sides the same length. If the lengths of the two diagonals of this figure are 9 centimeters (cm) and 14 centimeters (cm), what is the area? | There is a tetragon having all four sides the same length. If the lengths of the two diagonals of this figure are 9 centimeters (cm) and 14 centimeters (cm), what is the area? |
1 | 1 | A man can row 6 kmph in still water. When the river is running at 3 kmph, it takes him a certain amount of time to row to a place and back. The total distance traveled by the man is 4.5 km. How long does it take him to row to the place and back? | A man can row 6 kmph in still water. When the river is running at 3 kmph, it takes him a certain amount of time to row to a place and back. The total distance traveled by the man is 4.5 km. How long does it take him to row to the place and back? |
1 | \$60 | Fern buys one pair of high heels for some price and five pairs of ballet slippers for 2/3rds of the price of the high heels. She pays a total of $260. How much does one pair of high heels cost? | Fern buys one pair of high heels for some price and five pairs of ballet slippers for 2/3rds of the price of the high heels. She pays a total of $260. How much does one pair of high heels cost? |
1 | 36 | Mother made 2 dozen brownies and placed them on the kitchen counter to cool. Father smelled the brownies, came into the kitchen and ate 8 of them. Then, their daughter, Mooney, wandered into the kitchen and ate 4 of the brownies. The next morning, Mother made another two dozen brownies and added them to those remaining from the day before. After that, how many brownies were on the counter? | Mother made 2 dozen brownies and placed them on the kitchen counter to cool. Father smelled the brownies, came into the kitchen and ate 8 of them. Then, their daughter, Mooney, wandered into the kitchen and ate 4 of the brownies. The next morning, Mother made another two dozen brownies and added them to those remaining from the day before. After that, how many brownies were on the counter? |
1 | 54 | a circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 24 % home electronics ; 10 % 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 ? | a circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 24 % home electronics ; 10 % 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 ? |
1 | 6 | Renu can do a piece of work in some days, but with the help of her friend Suma, she can do it in 3 days. Suma can do it alone in 6 days. In how many days can Renu do the work alone? | Renu can do a piece of work in some days, but with the help of her friend Suma, she can do it in 3 days. Suma can do it alone in 6 days. In how many days can Renu do the work alone? |
1 | 0.05 | A bee colony produced 0.36 pounds of honey, but bears ate some amount of it. Now, 0.31 pounds of honey remains. How much honey did the bears eat? | A bee colony produced 0.36 pounds of honey, but bears ate some amount of it. Now, 0.31 pounds of honey remains. How much honey did the bears eat? |
1 | 1000 | Arthur knows that he needs to finish 800 pages of reading over the summer. He has read 80% of a 500-page book and 1/5 of a certain book. He needs to read 200 more pages. How many pages does the second book have? | Arthur knows that he needs to finish 800 pages of reading over the summer. He has read 80% of a 500-page book and 1/5 of a certain book. He needs to read 200 more pages. How many pages does the second book have? |
1 | 61.834 | Calculate molecular weight of Boric acid | Calculate molecular weight of Boric acid |
1 | 5 | There are 79 people that own pets. 15 people own only dogs, 10 people own only cats, some people own only cats and dogs, 3 people own cats, dogs and snakes. There are 49 total snakes. How many people own only cats and dogs? | There are 79 people that own pets. 15 people own only dogs, 10 people own only cats, some people own only cats and dogs, 3 people own cats, dogs and snakes. There are 49 total snakes. How many people own only cats and dogs? |
1 | 2 | Six apples and three oranges cost 1.77 dollars. Some apples and five oranges cost 1.27 dollars. The cost of each apple is 0.21 dollars. How many apples were in the second group? | Six apples and three oranges cost 1.77 dollars. Some apples and five oranges cost 1.27 dollars. The cost of each apple is 0.21 dollars. How many apples were in the second group? |
1 | \$100 | An article has a normal price of some amount. After two successive discounts of 10% and 20%, the article is sold at $72. What is the normal price of the article? | An article has a normal price of some amount. After two successive discounts of 10% and 20%, the article is sold at $72. What is the normal price of the article? |
1 | 88 | Norma has some cards. She loses 70 cards and then has 18 cards left. How many cards did Norma have initially? | Norma has some cards. She loses 70 cards and then has 18 cards left. How many cards did Norma have initially? |
1 | 6648 | Linda is building a new hotel with three wings. The first wing has 9 floors and each floor has 6 halls each with 32 rooms. The second wing has 7 floors each with 9 halls with 40 rooms each. The third wing has 12 floors with each floor having 4 halls with 50 rooms each. How many rooms are in the hotel total? | Linda is building a new hotel with three wings. The first wing has 9 floors and each floor has 6 halls each with 32 rooms. The second wing has 7 floors each with 9 halls with 40 rooms each. The third wing has 12 floors with each floor having 4 halls with 50 rooms each. How many rooms are in the hotel total? |
1 | 25 | the area of a triangle is with base 10 m and height 5 m ? | the area of a triangle is with base 10 m and height 5 m ? |
1 | 52 | Mike had 34 peaches at his roadside fruit dish. He went to the orchard and picked some peaches to stock up. After picking peaches, he has a total of 86 peaches. How many peaches did he pick at the orchard? | Mike had 34 peaches at his roadside fruit dish. He went to the orchard and picked some peaches to stock up. After picking peaches, he has a total of 86 peaches. How many peaches did he pick at the orchard? |
1 | 30\% | The Megatek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. A certain percentage of Megatek employees are in manufacturing, and their section takes up 108° of the circle. What percentage of Megatek employees are in manufacturing? | The Megatek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. A certain percentage of Megatek employees are in manufacturing, and their section takes up 108° of the circle. What percentage of Megatek employees are in manufacturing? |
1 | 2:1 | A man is 25 years older than his son. In two years, his age will be a certain multiple of the age of his son. The present age of the son is 23 years old. What is the ratio of the man's age to his son's age in two years? | A man is 25 years older than his son. In two years, his age will be a certain multiple of the age of his son. The present age of the son is 23 years old. What is the ratio of the man's age to his son's age in two years? |
1 | 3 | Some cars with 63.0 people each are going to the zoo. There are 189 people going to the zoo. How many cars are going to the zoo? | Some cars with 63.0 people each are going to the zoo. There are 189 people going to the zoo. How many cars are going to the zoo? |
1 | 10 | Rs. 880 is divided amongst a, b, c so that 4 times a's share, 5 times b's share, and a certain multiple of c's share are all equal. C's share is Rs. 160. What is the multiple of c's share that makes them all equal? | Rs. 880 is divided amongst a, b, c so that 4 times a's share, 5 times b's share, and a certain multiple of c's share are all equal. C's share is Rs. 160. What is the multiple of c's share that makes them all equal? |
1 | 11 | There is a cricket team with some members. The captain is 27 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team, which is 24. How many members are in the cricket team? | There is a cricket team with some members. The captain is 27 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team, which is 24. How many members are in the cricket team? |
1 | 240 | john left home and drove at the rate of 45 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 50 mph to reach his destination . how many miles did john drive ? | john left home and drove at the rate of 45 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 50 mph to reach his destination . how many miles did john drive ? |
1 | 3 | A lends Rs. 3500 to B at 10% per annum, and B lends the same sum to C at 15% per annum. The gain of B in a certain period is Rs. 525. How many years is this period? | A lends Rs. 3500 to B at 10% per annum, and B lends the same sum to C at 15% per annum. The gain of B in a certain period is Rs. 525. How many years is this period? |
1 | 5 | Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for some hours a week of piano lessons. She spends $1040 more on piano lessons than clarinet lessons in a year. How many hours per week does she take piano lessons? | Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for some hours a week of piano lessons. She spends $1040 more on piano lessons than clarinet lessons in a year. How many hours per week does she take piano lessons? |
1 | 750 | At a certain rate percent on simple interest, some amount amounts to Rs. 1200 in 5 years. The rate is 12%. What is the initial amount? | At a certain rate percent on simple interest, some amount amounts to Rs. 1200 in 5 years. The rate is 12%. What is the initial amount? |
1 | 275 | Teresa scored 70 marks in science, 80 in music, 85 in social studies, and the physics exam, which was the hardest test that Teresa had ever taken in her entire life, she scored half as many marks as she scored in music. Calculate the total marks Teresa scored in all the subjects. | Teresa scored 70 marks in science, 80 in music, 85 in social studies, and the physics exam, which was the hardest test that Teresa had ever taken in her entire life, she scored half as many marks as she scored in music. Calculate the total marks Teresa scored in all the subjects. |
1 | 40 | A contractor undertakes to build a wall in some days. He employs 40 people for the same. However, after 25 days, he finds that only 40% of the work is complete. He needs to employ 60 more people to complete the work in time. How many days was the contractor initially planning to complete the wall? | A contractor undertakes to build a wall in some days. He employs 40 people for the same. However, after 25 days, he finds that only 40% of the work is complete. He needs to employ 60 more people to complete the work in time. How many days was the contractor initially planning to complete the wall? |
1 | 40 | A sum of money is sufficient to pay p's wages for 24 days and q's wages for some days. The same money is sufficient to pay the wages of both for 15 days. How many days is the money sufficient to pay q's wages? | A sum of money is sufficient to pay p's wages for 24 days and q's wages for some days. The same money is sufficient to pay the wages of both for 15 days. How many days is the money sufficient to pay q's wages? |
1 | 144 | If p # q denotes the least common multiple of p and q, then p = ((12 # 16) # (18 # 24)) = ? What is the value of p? | If p # q denotes the least common multiple of p and q, then p = ((12 # 16) # (18 # 24)) = ? What is the value of p? |
1 | 6 | A piece of sheetrock was cut so its length was some feet by 5 feet. The area of the sheetrock is 30 square feet. What is the length of the sheetrock? | A piece of sheetrock was cut so its length was some feet by 5 feet. The area of the sheetrock is 30 square feet. What is the length of the sheetrock? |
1 | \$410 | Sara got her first paycheck of two weeks of work. She had worked 40 hours a week at $11.50 per hour. She bought a new set of tires for her car and was left with $510. How much did the tires cost? | Sara got her first paycheck of two weeks of work. She had worked 40 hours a week at $11.50 per hour. She bought a new set of tires for her car and was left with $510. How much did the tires cost? |
1 | 24.64\% | The credit card and global payment processing companies have been suffering losses for some time now. A well-known company recently announced its quarterly results. According to the results, the revenue fell to $52.0 billion from $69.0 billion a year ago. By what percent did the revenue fall? | The credit card and global payment processing companies have been suffering losses for some time now. A well-known company recently announced its quarterly results. According to the results, the revenue fell to $52.0 billion from $69.0 billion a year ago. By what percent did the revenue fall? |
1 | 6580 | 6 % of customers that enter a store on any given day must not pay tax . if 1000 people shop every day , how many people pay taxes in the store every week | 6 % of customers that enter a store on any given day must not pay tax . if 1000 people shop every day , how many people pay taxes in the store every week |
1 | 93 | the average weight of 8 person ' s increases by 6 kg when a new person comes in place of one of them weighing 45 kg . what is the weight of the new person ? | the average weight of 8 person ' s increases by 6 kg when a new person comes in place of one of them weighing 45 kg . what is the weight of the new person ? |
1 | 36 | The last time Bob cut his hair, he cut it to 6 inches. If hair grows at a rate of .5 inches per month and it took him 5 years to grow out his hair, how long is his hair now? | The last time Bob cut his hair, he cut it to 6 inches. If hair grows at a rate of .5 inches per month and it took him 5 years to grow out his hair, how long is his hair now? |
1 | \$2.95 | The owner of a store wants to make a 30-pound mixture of two candies to sell for $3 per pound. He should use 20 pounds of the first candy and 10 pounds of the second candy. If the second candy sells for $3.10 per pound, what is the price per pound of the first candy? | The owner of a store wants to make a 30-pound mixture of two candies to sell for $3 per pound. He should use 20 pounds of the first candy and 10 pounds of the second candy. If the second candy sells for $3.10 per pound, what is the price per pound of the first candy? |
1 | 60 | Nadia is learning to play the piano. She normally makes 3 mistakes per 40 notes. If she plays for 8 minutes and makes on average 36 mistakes, how many notes can she play per minute? | Nadia is learning to play the piano. She normally makes 3 mistakes per 40 notes. If she plays for 8 minutes and makes on average 36 mistakes, how many notes can she play per minute? |
1 | 70 | Mark realizes that a lot of the friends on his friends list are people he doesn't talk to anymore. He keeps 40% of his friends list and then contacts the rest. Of those, only 50% respond. He removes everyone who did not respond. If he had 100 friends, how many does he have left after the removal? | Mark realizes that a lot of the friends on his friends list are people he doesn't talk to anymore. He keeps 40% of his friends list and then contacts the rest. Of those, only 50% respond. He removes everyone who did not respond. If he had 100 friends, how many does he have left after the removal? |
1 | 153 | In a chess tournament, each participant plays exactly one game with each of the remaining participants. There are 18 participants in the tournament. How many games will be played during the tournament? | In a chess tournament, each participant plays exactly one game with each of the remaining participants. There are 18 participants in the tournament. How many games will be played during the tournament? |
1 | 21 | Think of a number, divide it by 5 and add 10 to it. The result is some number. The number thought of is 55. What is the result? | Think of a number, divide it by 5 and add 10 to it. The result is some number. The number thought of is 55. What is the result? |
1 | 7.5 | In what time will a train 250 meters long cross an electric pole, if its speed is 120 km/hr? | In what time will a train 250 meters long cross an electric pole, if its speed is 120 km/hr? |
1 | 1:1 | On a certain day, orangeade was made by mixing a certain amount of orange juice with a certain amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold, and the revenue from selling the orangeade was the same for both days. If the orangeade was sold at $0.60 per glass on the first day and $0.40 per glass on the second day, what is the ratio of the amount of water used on the first day to the amount of orange juice used? | On a certain day, orangeade was made by mixing a certain amount of orange juice with a certain amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold, and the revenue from selling the orangeade was the same for both days. If the orangeade was sold at $0.60 per glass on the first day and $0.40 per glass on the second day, what is the ratio of the amount of water used on the first day to the amount of orange juice used? |
1 | 44\% | A shopkeeper sold an article offering a discount of 4% and earned a certain profit. If no discount was offered, the percentage of profit earned would have been 50%. What was the percentage of profit earned with the discount? | A shopkeeper sold an article offering a discount of 4% and earned a certain profit. If no discount was offered, the percentage of profit earned would have been 50%. What was the percentage of profit earned with the discount? |
1 | 108,375 | Jerry Weller received 20,196 more votes than opponent John Pavich. If the total number of votes was 196,554, find the number of votes for Jerry. | Jerry Weller received 20,196 more votes than opponent John Pavich. If the total number of votes was 196,554, find the number of votes for Jerry. |
1 | 1/2 | the probability that a man will be alive for 10 more yrs is 1 / 4 & the probability that his wife will alive for 10 more yrs is 1 / 3 . the probability that none of them will be alive for 10 more yrs , is | the probability that a man will be alive for 10 more yrs is 1 / 4 & the probability that his wife will alive for 10 more yrs is 1 / 3 . the probability that none of them will be alive for 10 more yrs , is |
1 | 4 | In a group of cows and hens, the number of legs are 8 more than twice the number of heads. How many cows are there in the group? | In a group of cows and hens, the number of legs are 8 more than twice the number of heads. How many cows are there in the group? |
1 | 5 | Find the compound interest on $1200 for a certain number of years at 20% p.a., compounded yearly. The compound interest is $1785.98. For how many years was the interest compounded? | Find the compound interest on $1200 for a certain number of years at 20% p.a., compounded yearly. The compound interest is $1785.98. For how many years was the interest compounded? |
1 | 40 | if a person walks at 20 km / hr instead of 10 km / hr , he would have walked 40 km more . the actual distance traveled by him is ? | if a person walks at 20 km / hr instead of 10 km / hr , he would have walked 40 km more . the actual distance traveled by him is ? |
1 | 64 | The length of a rectangle is thrice its breadth, and its perimeter is some value. The area of the rectangle is 192 square meters. What is the perimeter of the rectangle? | The length of a rectangle is thrice its breadth, and its perimeter is some value. The area of the rectangle is 192 square meters. What is the perimeter of the rectangle? |
1 | 70 | The sum of the squares of 3 numbers is 149, and the sum of their products taken two at a time is some value. The sum of the numbers is 17. What is the sum of their products taken two at a time? | The sum of the squares of 3 numbers is 149, and the sum of their products taken two at a time is some value. The sum of the numbers is 17. What is the sum of their products taken two at a time? |
1 | 2:1 | There are 20 students in the orchestra and a certain ratio of that number in the band. There are 12 boys and 16 girls in the choir. In total, there are 88 students in the orchestra, the band, and the choir. What is the ratio of the number of students in the band to the number of students in the orchestra? | There are 20 students in the orchestra and a certain ratio of that number in the band. There are 12 boys and 16 girls in the choir. In total, there are 88 students in the orchestra, the band, and the choir. What is the ratio of the number of students in the band to the number of students in the orchestra? |
1 | 3 | Walking 7/6 of his usual rate, a boy reaches his school early. His usual time to reach the school is 21 minutes. How many minutes early does he reach the school when walking at the new rate? | Walking 7/6 of his usual rate, a boy reaches his school early. His usual time to reach the school is 21 minutes. How many minutes early does he reach the school when walking at the new rate? |
1 | 14 | If (x + 3)^2 / (3x + 29) = 2, what is the difference between the two possible values of x? | If (x + 3)^2 / (3x + 29) = 2, what is the difference between the two possible values of x? |
1 | 32 | A classroom has an equal number of boys and girls. 8 girls left to play kho-kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially? | A classroom has an equal number of boys and girls. 8 girls left to play kho-kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially? |
1 | 14 | A town is trying to clear litter from its streets. The council pays for adding some trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. The town has paid for 42 trash cans. How many trash cans were added to the streets? | A town is trying to clear litter from its streets. The council pays for adding some trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. The town has paid for 42 trash cans. How many trash cans were added to the streets? |
1 | 70\% | A group of boy scouts and girl scouts is going on a rafting trip. Some percentage of the scouts arrived with signed permission slips. 60% of the scouts were boy scouts and 75% of the boy scouts arrived with signed permission slips. 62.5% of the girl scouts arrived with signed permission slips. What percentage of the scouts arrived with signed permission slips? | A group of boy scouts and girl scouts is going on a rafting trip. Some percentage of the scouts arrived with signed permission slips. 60% of the scouts were boy scouts and 75% of the boy scouts arrived with signed permission slips. 62.5% of the girl scouts arrived with signed permission slips. What percentage of the scouts arrived with signed permission slips? |
1 | 154 | in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 7 : 7 : 8 . if the shop carries 330 dogs and bunnies total in stock , how many dogs are there ? | in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 7 : 7 : 8 . if the shop carries 330 dogs and bunnies total in stock , how many dogs are there ? |
1 | 4/π | The radius of a circle is some value in cm. Its perimeter is 8 cm. What is the radius of the circle in terms of π? | The radius of a circle is some value in cm. Its perimeter is 8 cm. What is the radius of the circle in terms of π? |
1 | 56 | The speed of a boat in standing water is 8 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 210 km and comes back to the starting point. How many hours does it take for him to complete the round trip? | The speed of a boat in standing water is 8 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 210 km and comes back to the starting point. How many hours does it take for him to complete the round trip? |
1 | 5 | A cyclist and a car took 8 hours to cover 88 and 48 miles distance respectively. Find the difference between their speeds. | A cyclist and a car took 8 hours to cover 88 and 48 miles distance respectively. Find the difference between their speeds. |
1 | 108 | 36 men can complete a piece of work in 18 days. If a larger group of men work on the same task, they can complete it in 6 days. How many men are in the larger group? | 36 men can complete a piece of work in 18 days. If a larger group of men work on the same task, they can complete it in 6 days. How many men are in the larger group? |
1 | 93 | Andy, a part of the recycling team, decided to gather tin foil wrappers. He was able to pick up 34 wrappers around the village dumpster. His best friend Max collected 15 wrappers, their other friend Zoe collected 25 wrappers, and a fourth friend, Mia, collected 19 wrappers. How many wrappers were gathered in total by all four friends? | Andy, a part of the recycling team, decided to gather tin foil wrappers. He was able to pick up 34 wrappers around the village dumpster. His best friend Max collected 15 wrappers, their other friend Zoe collected 25 wrappers, and a fourth friend, Mia, collected 19 wrappers. How many wrappers were gathered in total by all four friends? |
1 | 20\% | A retailer bought a machine at a wholesale price of $126 and later on sold it after a 10% discount of the retail price. The retailer made a certain profit equivalent to a percentage of the wholesale price. The retail price of the machine is $167.99999999999997. What is the percentage of the profit made by the retailer? | A retailer bought a machine at a wholesale price of $126 and later on sold it after a 10% discount of the retail price. The retailer made a certain profit equivalent to a percentage of the wholesale price. The retail price of the machine is $167.99999999999997. What is the percentage of the profit made by the retailer? |
1 | \$240 | A convenience store sells 180 gallons of soda a week. They buy syrup boxes that can make 30 gallons of soda, and each box costs $40. How much do they pay for syrup a week? | A convenience store sells 180 gallons of soda a week. They buy syrup boxes that can make 30 gallons of soda, and each box costs $40. How much do they pay for syrup a week? |
1 | 850 | Jinho went to the stationery store with 2,500 won and bought 5 erasers which cost 120 won each and 3 pencils that cost 350 won each. Find out the remaining money Jinho has after buying erasers and pencils. | Jinho went to the stationery store with 2,500 won and bought 5 erasers which cost 120 won each and 3 pencils that cost 350 won each. Find out the remaining money Jinho has after buying erasers and pencils. |
1 | 198 | Sarah's Shipping and Ryan's Mail Services both ship packages. Sarah's trucks will only carry loads of 18 packages. In contrast, Ryan's trucks will only carry loads of 11 packages. If both businesses ended up shipping the same number of packages this morning, what is the minimum number of packages each must have shipped? | Sarah's Shipping and Ryan's Mail Services both ship packages. Sarah's trucks will only carry loads of 18 packages. In contrast, Ryan's trucks will only carry loads of 11 packages. If both businesses ended up shipping the same number of packages this morning, what is the minimum number of packages each must have shipped? |
1 | \$1124 | A movie theatre has 250 seats. The cost of a ticket is $6 for an adult and $4 for a child. The theatre is full and contains 188 children. What is the total ticket revenue for this movie session? | A movie theatre has 250 seats. The cost of a ticket is $6 for an adult and $4 for a child. The theatre is full and contains 188 children. What is the total ticket revenue for this movie session? |
1 | 3 | The number of elephants at Gestures For Good park is some times as many as the number of elephants at We Preserve For Future park. There are 70 elephants at We Preserve For Future, and the total number of elephants in the two parks is 280. How many times the number of elephants at Gestures For Good park is compared to We Preserve For Future park? | The number of elephants at Gestures For Good park is some times as many as the number of elephants at We Preserve For Future park. There are 70 elephants at We Preserve For Future, and the total number of elephants in the two parks is 280. How many times the number of elephants at Gestures For Good park is compared to We Preserve For Future park? |
1 | 68 | The chances of making the junior high basketball team start at 10% if you're 66 inches and increase 10% for every additional inch of height. Devin starts out at a certain height, then grows 3 inches. His chances of making the basketball team are 30%. What was Devin's initial height? | The chances of making the junior high basketball team start at 10% if you're 66 inches and increase 10% for every additional inch of height. Devin starts out at a certain height, then grows 3 inches. His chances of making the basketball team are 30%. What was Devin's initial height? |
1 | 14 | Sandy sold half of her comic books and then bought 6 more. She now has 13 comic books. How many comic books did she begin with? | Sandy sold half of her comic books and then bought 6 more. She now has 13 comic books. How many comic books did she begin with? |
1 | 46 | Tyler had 74 aquariums for freshwater animals and 22 aquariums for saltwater animals. Each aquarium has a certain number of animals in it. Tyler has 1012 saltwater animals. How many animals are in each aquarium? | Tyler had 74 aquariums for freshwater animals and 22 aquariums for saltwater animals. Each aquarium has a certain number of animals in it. Tyler has 1012 saltwater animals. How many animals are in each aquarium? |
1 | 10 | A boat goes 100 km downstream in 4 hours, and 75 km upstream in 15 hours. What is the speed of the stream? | A boat goes 100 km downstream in 4 hours, and 75 km upstream in 15 hours. What is the speed of the stream? |
1 | 25 | The average of a set of 7 numbers is a certain value. If each number is multiplied by 5, the average of the new set of numbers is 125. What is the average of the original set of numbers? | The average of a set of 7 numbers is a certain value. If each number is multiplied by 5, the average of the new set of numbers is 125. What is the average of the original set of numbers? |
1 | 1:2 | Edith has 80 novels stuffed on her schoolbook shelf, and she has some writing books stuffed in her suitcase. Edith has altogether 240 novels and writing books. What is the ratio of the number of novels on her schoolbook shelf to the number of writing books in her suitcase? | Edith has 80 novels stuffed on her schoolbook shelf, and she has some writing books stuffed in her suitcase. Edith has altogether 240 novels and writing books. What is the ratio of the number of novels on her schoolbook shelf to the number of writing books in her suitcase? |
1 | 25\% | The majority owner of a business received a certain percentage of the profit, with each of 4 partners receiving 25% of the remaining profit. The majority owner and two of the owners combined to receive $50,000. The business made a profit of $80,000. What percentage of the profit did the majority owner receive? | The majority owner of a business received a certain percentage of the profit, with each of 4 partners receiving 25% of the remaining profit. The majority owner and two of the owners combined to receive $50,000. The business made a profit of $80,000. What percentage of the profit did the majority owner receive? |
1 | 8 | Robin's class is going on a field trip to the zoo. Each van can hold a certain number of people, and there are 22 students and 2 adults going. They will need 3 vans. How many people can each van hold? | Robin's class is going on a field trip to the zoo. Each van can hold a certain number of people, and there are 22 students and 2 adults going. They will need 3 vans. How many people can each van hold? |
1 | \$157.32 | Karsyn bought a phone at 20% of the initial price, which was $600. After negotiating, she also decided to buy a phone case that costs $25 and a screen protector that costs $15. The store offers a 5% discount on the total payment, but Karsyn has to pay a 3.5% sales tax on the discounted amount. Calculate how much Karsyn paid in total after negotiating the phone price, considering the additional items, discount, and sales tax. | Karsyn bought a phone at 20% of the initial price, which was $600. After negotiating, she also decided to buy a phone case that costs $25 and a screen protector that costs $15. The store offers a 5% discount on the total payment, but Karsyn has to pay a 3.5% sales tax on the discounted amount. Calculate how much Karsyn paid in total after negotiating the phone price, considering the additional items, discount, and sales tax. |
1 | 4 | One batch of cookies requires a certain amount of flour and 1.5 cups of sugar. For 8 batches, 44 cups of flour and sugar combined would be needed. How many cups of flour are needed for one batch of cookies? | One batch of cookies requires a certain amount of flour and 1.5 cups of sugar. For 8 batches, 44 cups of flour and sugar combined would be needed. How many cups of flour are needed for one batch of cookies? |
1 | 17.3 | On each of the 10 Mondays, it rained 1.25 centimeters. On each of the 12 Tuesdays, it rained 2.15 centimeters. On each of the 8 Wednesdays, it rained 1.60 centimeters. And on each of the 6 Thursdays, it rained 2.80 centimeters. How many more centimeters did it rain on Tuesdays and Thursdays combined than on Mondays and Wednesdays combined? | On each of the 10 Mondays, it rained 1.25 centimeters. On each of the 12 Tuesdays, it rained 2.15 centimeters. On each of the 8 Wednesdays, it rained 1.60 centimeters. And on each of the 6 Thursdays, it rained 2.80 centimeters. How many more centimeters did it rain on Tuesdays and Thursdays combined than on Mondays and Wednesdays combined? |
1 | \$8 | Tom had 57 dollars. He spent some money on a new game and had enough money left to buy 2 four-dollar toys. How much did the new game cost? | Tom had 57 dollars. He spent some money on a new game and had enough money left to buy 2 four-dollar toys. How much did the new game cost? |
1 | 15 | A person walks at a certain speed instead of 10 km/hr, and as a result, he would have walked 15 km more. The actual distance traveled by him is 30 km. What is the faster speed he could have walked at? | A person walks at a certain speed instead of 10 km/hr, and as a result, he would have walked 15 km more. The actual distance traveled by him is 30 km. What is the faster speed he could have walked at? |
1 | 336 | A snooker tournament charges $45.00 for VIP seats and $20.00 for general admission (regular seats). On a certain night, a total of some tickets were sold, for a total cost of $7500. There were 276 fewer tickets sold that night for VIP seats than for general admission seats. How many tickets were sold in total? | A snooker tournament charges $45.00 for VIP seats and $20.00 for general admission (regular seats). On a certain night, a total of some tickets were sold, for a total cost of $7500. There were 276 fewer tickets sold that night for VIP seats than for general admission seats. How many tickets were sold in total? |
1 | 7 | The edge of a cube is some length in cm. The surface of the cube is 294 cm². What is the length of the edge of the cube? | The edge of a cube is some length in cm. The surface of the cube is 294 cm². What is the length of the edge of the cube? |
1 | 65 | Five friends, Isabella, Damien, Ella, Toby, and Lisa, decided to donate their hair to a charity. Before going to the salon, they measured their hair.
Isabella's hair was 18 inches long, and she decided to keep 9 inches, donating the rest. Damien's hair was 24 inches long, and he wanted a style that left him with exactly 12 inches. Ella had hair that touched her waist at 30 inches, and she chose to donate as much as she could while keeping 10 inches of length. Toby, with 16 inches of hair, surprised everyone by shaving all of his hair off for the cause. Lisa, who had 28 inches of hair, wanted to maintain long hair, so she only donated 8 inches.
How much total hair did they donate to the charity? | Five friends, Isabella, Damien, Ella, Toby, and Lisa, decided to donate their hair to a charity. Before going to the salon, they measured their hair.
Isabella's hair was 18 inches long, and she decided to keep 9 inches, donating the rest. Damien's hair was 24 inches long, and he wanted a style that left him with exactly 12 inches. Ella had hair that touched her waist at 30 inches, and she chose to donate as much as she could while keeping 10 inches of length. Toby, with 16 inches of hair, surprised everyone by shaving all of his hair off for the cause. Lisa, who had 28 inches of hair, wanted to maintain long hair, so she only donated 8 inches.
How much total hair did they donate to the charity? |
1 | 6 | James has 18 chocolate bars to sell for the swim team. He sold 5 last week and 7 this week. How many more chocolate bars does he need to sell? | James has 18 chocolate bars to sell for the swim team. He sold 5 last week and 7 this week. How many more chocolate bars does he need to sell? |
1 | 450 | Tom can type 90 words a minute. A page has a certain number of words. It takes him 50 minutes to type out 10 pages. How many words are there in a page? | Tom can type 90 words a minute. A page has a certain number of words. It takes him 50 minutes to type out 10 pages. How many words are there in a page? |
1 | 3 | Tim buys some loaves of bread. Each loaf of bread has 20 slices. He pays for the loaves of bread with 2 $20 bills and gets $16 change. Each slice costs 40 cents. How many loaves of bread did Tim buy? | Tim buys some loaves of bread. Each loaf of bread has 20 slices. He pays for the loaves of bread with 2 $20 bills and gets $16 change. Each slice costs 40 cents. How many loaves of bread did Tim buy? |
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