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1 | 500 | I see 250 puppies. 150 of them are from a breed with long, droopy ears and the other 100 are from a breed with small, pointed ears. If the breed with droopy ears have two ears and the breed with pointed ears have two ears as well, how many ears are there in total? | I see 250 puppies. 150 of them are from a breed with long, droopy ears and the other 100 are from a breed with small, pointed ears. If the breed with droopy ears have two ears and the breed with pointed ears have two ears as well, how many ears are there in total? |
1 | 2 | The edges of a cube are increased by a certain factor, resulting in a volume that is 8 times the original volume. What is the factor by which the edges were increased? | The edges of a cube are increased by a certain factor, resulting in a volume that is 8 times the original volume. What is the factor by which the edges were increased? |
1 | 34 | A girl was asked to multiply a certain number by 43. She mistakenly multiplied it by a different number and got her answer less than the correct one by 1206. The number to be multiplied is 134. What was the incorrect number she multiplied by? | A girl was asked to multiply a certain number by 43. She mistakenly multiplied it by a different number and got her answer less than the correct one by 1206. The number to be multiplied is 134. What was the incorrect number she multiplied by? |
1 | 9 | A 270 meters long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph. The length of the other train is 230.04 meters. How long does it take for the trains to cross each other in seconds? | A 270 meters long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph. The length of the other train is 230.04 meters. How long does it take for the trains to cross each other in seconds? |
1 | 3.6 | Jim's taxi service charges an initial fee of $2.35 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. The total charge for a trip is $5.5. How many miles was the trip? | Jim's taxi service charges an initial fee of $2.35 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. The total charge for a trip is $5.5. How many miles was the trip? |
1 | 64 | The difference between a number and its 3/5 is a certain value. The number is 160. What is the difference between the number and its 3/5? | The difference between a number and its 3/5 is a certain value. The number is 160. What is the difference between the number and its 3/5? |
1 | 8 | Jolene and Phil have four children, each with the same birthday. They gave birth to their first child exactly 15 years ago. They gave birth to their second child exactly one year after the birth of their first child. They gave birth to their third child on the fourth birthday of their second child. Two years after the birth of their third child, they gave birth to their fourth child. How old, in years, is their fourth child? | Jolene and Phil have four children, each with the same birthday. They gave birth to their first child exactly 15 years ago. They gave birth to their second child exactly one year after the birth of their first child. They gave birth to their third child on the fourth birthday of their second child. Two years after the birth of their third child, they gave birth to their fourth child. How old, in years, is their fourth child? |
1 | 3 | At the back of the zoo is a mountain where the birds can roam free in a natural habitat. The children saw 6 types of eagles living on each section of the mountain. If the children saw a total of 18 types of eagles, how many sections does the mountain have? | At the back of the zoo is a mountain where the birds can roam free in a natural habitat. The children saw 6 types of eagles living on each section of the mountain. If the children saw a total of 18 types of eagles, how many sections does the mountain have? |
1 | 20\% | James bought a gallon of milk for $3, a bunch of bananas for $2, and paid some sales tax. James spent $6. What was the sales tax rate? | James bought a gallon of milk for $3, a bunch of bananas for $2, and paid some sales tax. James spent $6. What was the sales tax rate? |
1 | 60 | April's discount flowers was having a sale where each flower was 6 dollars. If Katie bought 5 roses and 5 daisies, how much did she spend? | April's discount flowers was having a sale where each flower was 6 dollars. If Katie bought 5 roses and 5 daisies, how much did she spend? |
1 | 4 | At Roosevelt high school there are 600 students in the senior class. A fifth of the students are in the marching band. Of the students in the marching band, half of them play a brass instrument. Of the students that play a brass instrument, a fifth of them play the saxophone. Of the students that play the saxophone, a third of them play the alto saxophone. How many students play the alto saxophone? | At Roosevelt high school there are 600 students in the senior class. A fifth of the students are in the marching band. Of the students in the marching band, half of them play a brass instrument. Of the students that play a brass instrument, a fifth of them play the saxophone. Of the students that play the saxophone, a third of them play the alto saxophone. How many students play the alto saxophone? |
1 | 7 | If the operation € is defined for all x and y by the equation x € y = 2 * x * y, and (4 € 5) € z = 560, what is the value of z? | If the operation € is defined for all x and y by the equation x € y = 2 * x * y, and (4 € 5) € z = 560, what is the value of z? |
1 | 92 | A bicycle store is running a promotion. Every time a customer buys a bicycle, they will receive 2 bike clamps free with it. If the store sells 19 bikes in the morning and 27 bikes in the afternoon, how many bike clamps has the store given to customers? | A bicycle store is running a promotion. Every time a customer buys a bicycle, they will receive 2 bike clamps free with it. If the store sells 19 bikes in the morning and 27 bikes in the afternoon, how many bike clamps has the store given to customers? |
1 | 64 | The area of one square is x^2 + 12x + 36, and the area of another square is 4x^2 - 12x + 9. The sum of the perimeters of both squares is a certain value, and the value of x is 4.333333333333333. What is the sum of the perimeters of both squares? | The area of one square is x^2 + 12x + 36, and the area of another square is 4x^2 - 12x + 9. The sum of the perimeters of both squares is a certain value, and the value of x is 4.333333333333333. What is the sum of the perimeters of both squares? |
1 | 5 | The age of Somu is one-third his father's. Some years back he was one-fifth of his father's age. His present age is 10 years. How many years back was Somu one-fifth of his father's age? | The age of Somu is one-third his father's. Some years back he was one-fifth of his father's age. His present age is 10 years. How many years back was Somu one-fifth of his father's age? |
1 | 8 | Clarence has 5 oranges. He gets 3 more from Joyce. Later, Clarence buys 9 Skittles at the store. In all , Clarence has _____ oranges . | Clarence has 5 oranges. He gets 3 more from Joyce. Later, Clarence buys 9 Skittles at the store. In all , Clarence has _____ oranges . |
1 | 5\% | The population of a town increased from 1,75000 to 2,62500 in a decade. What is the average percent increase of population per year? | The population of a town increased from 1,75000 to 2,62500 in a decade. What is the average percent increase of population per year? |
1 | 4 | While playing at the arcade, Edward won 3 tickets playing 'whack a mole' and 5 tickets playing 'skee ball'. He was trying to buy candy that cost a certain number of tickets a piece, and he could buy 2 candies. How many tickets does each candy cost? | While playing at the arcade, Edward won 3 tickets playing 'whack a mole' and 5 tickets playing 'skee ball'. He was trying to buy candy that cost a certain number of tickets a piece, and he could buy 2 candies. How many tickets does each candy cost? |
1 | 3 | The swimming club went to a swim meet in another town. They took 2 cars and some vans. There were 5 people in each car and 3 people in each van. Each car can hold a maximum of 6 people and each van can hold a maximum of 8 people. They could have taken 17 more people with the swim team. How many vans did they take? | The swimming club went to a swim meet in another town. They took 2 cars and some vans. There were 5 people in each car and 3 people in each van. Each car can hold a maximum of 6 people and each van can hold a maximum of 8 people. They could have taken 17 more people with the swim team. How many vans did they take? |
1 | 118 | Stoney Hollow Middle School is taking a field trip to the zoo. There are 109 fifth graders, 115 sixth graders, and some seventh graders. There are 4 teachers and 2 parents from each grade coming along to chaperone on the trip. They needed 5 buses with 72 seats each for the field trip. How many seventh graders are going on the trip? | Stoney Hollow Middle School is taking a field trip to the zoo. There are 109 fifth graders, 115 sixth graders, and some seventh graders. There are 4 teachers and 2 parents from each grade coming along to chaperone on the trip. They needed 5 buses with 72 seats each for the field trip. How many seventh graders are going on the trip? |
1 | 10 | Lillian split 20 Skittles between some people in her class and kept the left overs. Each classmate got 2 Skittles. How many people were in her class? | Lillian split 20 Skittles between some people in her class and kept the left overs. Each classmate got 2 Skittles. How many people were in her class? |
1 | 30 | There are some different nuts in a bowl. If 5/6 of the nuts were eaten, there were 5 nuts left. How many nuts were there in the bowl initially? | There are some different nuts in a bowl. If 5/6 of the nuts were eaten, there were 5 nuts left. How many nuts were there in the bowl initially? |
1 | 6 | Of the 36 students, 24 fewer students wear glasses than students who do not wear glasses. How many students wear glasses? | Of the 36 students, 24 fewer students wear glasses than students who do not wear glasses. How many students wear glasses? |
1 | 188 | If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds? | If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds? |
1 | 15 | Einstein wants to raise $500 by selling snacks. One box of pizza sells for $12, a pack of potato fries sells for $0.30, and a can of soda at $2. Einstein sold a certain number of boxes of pizzas, 40 packs of potato fries, and 25 cans of soda. He needs $258 more to reach his goal. How many boxes of pizzas did Einstein sell? | Einstein wants to raise $500 by selling snacks. One box of pizza sells for $12, a pack of potato fries sells for $0.30, and a can of soda at $2. Einstein sold a certain number of boxes of pizzas, 40 packs of potato fries, and 25 cans of soda. He needs $258 more to reach his goal. How many boxes of pizzas did Einstein sell? |
1 | 12 | Jeonghee, Cheolsu, Eunsu, and Minjun went to the cinema to watch a horror movie. If Eunsu and Minjun, who can't watch horror movies, don't sit next to each other, find the number of cases in which four people sit in a row. (However, there are four seats and all are attached.) | Jeonghee, Cheolsu, Eunsu, and Minjun went to the cinema to watch a horror movie. If Eunsu and Minjun, who can't watch horror movies, don't sit next to each other, find the number of cases in which four people sit in a row. (However, there are four seats and all are attached.) |
1 | 814 | Sofia, president of the school student organization, held a meeting to talk about the food being served at the school cafeteria. The first order of business is to discuss whether the students like the food being served at the school. If 383 students said that they like the food and 431 students said they didn't, how many students participated in the discussion? | Sofia, president of the school student organization, held a meeting to talk about the food being served at the school cafeteria. The first order of business is to discuss whether the students like the food being served at the school. If 383 students said that they like the food and 431 students said they didn't, how many students participated in the discussion? |
1 | 10 | The average of some numbers was calculated as 17. It was discovered later on that while calculating the average, one number, namely 56, was incorrectly read as 26. The correct average is 20. How many numbers were there in the set? | The average of some numbers was calculated as 17. It was discovered later on that while calculating the average, one number, namely 56, was incorrectly read as 26. The correct average is 20. How many numbers were there in the set? |
1 | \$45 | Kenny plans to mow lawns all summer, and then use the profits to buy video-games and books. He charges $15 per lawn. The video-games cost a certain amount each. The books are $5 each. At the end of the summer he has mowed 35 lawns. There are 5 video-games he really wants, and then he will use the rest for books. He can buy 60 books. How much does each video-game cost? | Kenny plans to mow lawns all summer, and then use the profits to buy video-games and books. He charges $15 per lawn. The video-games cost a certain amount each. The books are $5 each. At the end of the summer he has mowed 35 lawns. There are 5 video-games he really wants, and then he will use the rest for books. He can buy 60 books. How much does each video-game cost? |
1 | 5155 | A treasure hunter discovered a buried treasure chest filled with a total of some gems. 45 of the gems were diamonds, and the rest were rubies. There were 5110 rubies. How many gems were there in total? | A treasure hunter discovered a buried treasure chest filled with a total of some gems. 45 of the gems were diamonds, and the rest were rubies. There were 5110 rubies. How many gems were there in total? |
1 | 150 | A train of certain length takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train. The speed of the train is approximately 85 kmph. What is the length of the train? | A train of certain length takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train. The speed of the train is approximately 85 kmph. What is the length of the train? |
1 | 6 | The sum of the ages of 5 children born at the intervals of 2 years each is 50 years. What is the age of the youngest child? | The sum of the ages of 5 children born at the intervals of 2 years each is 50 years. What is the age of the youngest child? |
1 | 162 | Adam has 29 marbles in his collection. Mary has 11 fewer marbles than Adam. Greg has 14 more marbles than Adam. In addition, John has twice as many marbles as Mary, and Sarah has 7 fewer marbles than Greg. How many marbles are there in total among Adam, Mary, Greg, John, and Sarah's collections? | Adam has 29 marbles in his collection. Mary has 11 fewer marbles than Adam. Greg has 14 more marbles than Adam. In addition, John has twice as many marbles as Mary, and Sarah has 7 fewer marbles than Greg. How many marbles are there in total among Adam, Mary, Greg, John, and Sarah's collections? |
1 | 30 | On a certain farm, the ratio of horses to cows is 4 : 1. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 13 : 7. After the transaction, how many more horses than cows would the farm own? | On a certain farm, the ratio of horses to cows is 4 : 1. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 13 : 7. After the transaction, how many more horses than cows would the farm own? |
1 | 4 | A desert garden’s sprinkler system runs twice a day during the cool morning and evening hours. It waters the garden with some liters of water in the morning and six liters in the evening. It takes the sprinkler system 5 days to use 50 liters of water. How many liters of water does the sprinkler system use in the morning? | A desert garden’s sprinkler system runs twice a day during the cool morning and evening hours. It waters the garden with some liters of water in the morning and six liters in the evening. It takes the sprinkler system 5 days to use 50 liters of water. How many liters of water does the sprinkler system use in the morning? |
1 | 1635 | The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the larger number? | The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the larger number? |
1 | 68 | Two trains 200 m and 160 m long run at different speeds in opposite directions in parallel tracks. The time which they take to cross each other is 11.999040076793857 seconds. If the slower train runs at 40 kmph, what is the speed of the faster train? | Two trains 200 m and 160 m long run at different speeds in opposite directions in parallel tracks. The time which they take to cross each other is 11.999040076793857 seconds. If the slower train runs at 40 kmph, what is the speed of the faster train? |
1 | 10\% | A book was sold at a certain profit percentage. Had it been sold for $140 more, a 15% profit would have been gained. The cost price of the book is $2800. What was the initial profit percentage? | A book was sold at a certain profit percentage. Had it been sold for $140 more, a 15% profit would have been gained. The cost price of the book is $2800. What was the initial profit percentage? |
1 | 1 | A movie store had 9 movies they were putting on some shelves. The owner wanted to make sure each shelf had the same number of movies. He needed 1 more movie. How many shelves were there? | A movie store had 9 movies they were putting on some shelves. The owner wanted to make sure each shelf had the same number of movies. He needed 1 more movie. How many shelves were there? |
1 | 1/2 | Bert left the house with $52. He spent 1/4 of this at the hardware store, then $9 at the dry cleaners, and then spent a fraction of what was left at the grocery store. When he got home, he had $15 left in his pocket. What fraction of the remaining money did he spend at the grocery store? | Bert left the house with $52. He spent 1/4 of this at the hardware store, then $9 at the dry cleaners, and then spent a fraction of what was left at the grocery store. When he got home, he had $15 left in his pocket. What fraction of the remaining money did he spend at the grocery store? |
1 | 2 | Linda's bag has 2 dimes, 6 quarters, and 5 nickels. Her mother gives her some more dimes, 10 quarters, and twice as many nickels as she has. Linda has 35 coins altogether. How many more dimes does her mother give her? | Linda's bag has 2 dimes, 6 quarters, and 5 nickels. Her mother gives her some more dimes, 10 quarters, and twice as many nickels as she has. Linda has 35 coins altogether. How many more dimes does her mother give her? |
1 | 10 | There are 55 people at the track meet. 30 of them are boys, and the rest are girls. Three fifths of the girls have long hair, and the rest have short hair. How many girls have short hair? | There are 55 people at the track meet. 30 of them are boys, and the rest are girls. Three fifths of the girls have long hair, and the rest have short hair. How many girls have short hair? |
1 | 36 | 30 binders can bind 1400 books in 21 days. How many binders will be required to bind a certain number of books in 20 days if 36 binders are required to bind 1600 books? | 30 binders can bind 1400 books in 21 days. How many binders will be required to bind a certain number of books in 20 days if 36 binders are required to bind 1600 books? |
1 | 86 | The hiking team needs to arrange gloves for every participant. If total number of participants is 43, how many minimum number of gloves the hiking team needs to arrange? | The hiking team needs to arrange gloves for every participant. If total number of participants is 43, how many minimum number of gloves the hiking team needs to arrange? |
1 | 166 | A bag of jellybeans contains 8 black beans, twice the number of green beans than black beans, 5 less orange beans than twice the green beans, 3 more red beans than orange beans, half the number of yellow beans than black beans, 4 more purple beans than red beans, and 3 less brown beans than the sum of green and purple beans. How many jellybeans are there in the bag? | A bag of jellybeans contains 8 black beans, twice the number of green beans than black beans, 5 less orange beans than twice the green beans, 3 more red beans than orange beans, half the number of yellow beans than black beans, 4 more purple beans than red beans, and 3 less brown beans than the sum of green and purple beans. How many jellybeans are there in the bag? |
1 | 25/378 | Alex, Bella, Kyle, David, and Catherine each try independently to solve a problem. If their individual probabilities for success are 1/4, 3/5, 1/3, 2/7, and 5/9, respectively, what is the probability that Alex, Kyle, and Catherine, but not Bella and David, will solve the problem? | Alex, Bella, Kyle, David, and Catherine each try independently to solve a problem. If their individual probabilities for success are 1/4, 3/5, 1/3, 2/7, and 5/9, respectively, what is the probability that Alex, Kyle, and Catherine, but not Bella and David, will solve the problem? |
1 | 560 | An article is bought for some amount and sold for Rs. 340. The loss percent is 39.285714285714285%. What was the original price of the article? | An article is bought for some amount and sold for Rs. 340. The loss percent is 39.285714285714285%. What was the original price of the article? |
1 | 87 | Mike has some baseball cards. Sam gave Mike 13 more baseball cards, and now Mike has 100 baseball cards. How many baseball cards did Mike have initially? | Mike has some baseball cards. Sam gave Mike 13 more baseball cards, and now Mike has 100 baseball cards. How many baseball cards did Mike have initially? |
1 | 18 | Some men can complete a piece of work in 20 days. If there are 12 men, they can complete that piece of work in 30 days. How many men are in the first group? | Some men can complete a piece of work in 20 days. If there are 12 men, they can complete that piece of work in 30 days. How many men are in the first group? |
1 | 25\% | A part-time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. By what percent should the number of hours worked be increased? | A part-time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. By what percent should the number of hours worked be increased? |
1 | 2 | Jackie has 10 apples. Adam has 8 apples. How many more apples does Jackie have than Adam? | Jackie has 10 apples. Adam has 8 apples. How many more apples does Jackie have than Adam? |
1 | 50\% | When all her clothes are washed and in her closet, Brie has 12 blouses, 6 skirts, and 8 slacks. Today in her hamper, she has 75% of her blouses, some percentage of her skirts, and 25% of her slacks. She needs to put 14 pieces of clothing in the washer. What percentage of her skirts are in the hamper? | When all her clothes are washed and in her closet, Brie has 12 blouses, 6 skirts, and 8 slacks. Today in her hamper, she has 75% of her blouses, some percentage of her skirts, and 25% of her slacks. She needs to put 14 pieces of clothing in the washer. What percentage of her skirts are in the hamper? |
1 | 23 | in a group of 50 people , 25 have visited iceland and 23 have visited norway . if 21 people have visited both iceland and norway , how many people have visited neither country ? | in a group of 50 people , 25 have visited iceland and 23 have visited norway . if 21 people have visited both iceland and norway , how many people have visited neither country ? |
1 | 1/780 | A box contains 20 pairs of shoes (40 shoes in total), each pair having a unique design. If two shoes are selected at random, what is the probability that they are from a specific matching pair, say pair A? | A box contains 20 pairs of shoes (40 shoes in total), each pair having a unique design. If two shoes are selected at random, what is the probability that they are from a specific matching pair, say pair A? |
1 | 25 | when positive integer x is divided by positive integer y , the remainder is 4 . if x / y = 96.16 , what is the value of y ? | when positive integer x is divided by positive integer y , the remainder is 4 . if x / y = 96.16 , what is the value of y ? |
1 | 35\% | If c is 14% of a and 40% of b, what percent of a is b? | If c is 14% of a and 40% of b, what percent of a is b? |
1 | 26 | Lara was 9 years old 7 years ago. How old will she be 10 years from now? | Lara was 9 years old 7 years ago. How old will she be 10 years from now? |
1 | 15 | You are going to make the largest square out of 60 centimeters (cm) of wire. How many centimeters (cm) should be the length of one side? | You are going to make the largest square out of 60 centimeters (cm) of wire. How many centimeters (cm) should be the length of one side? |
1 | 60 | Ivan has 20 dice. Jerry has twice as many dice as Ivan. How many dice do they have altogether? | Ivan has 20 dice. Jerry has twice as many dice as Ivan. How many dice do they have altogether? |
1 | 12 | find the highest common factor of 36 and 84 . | find the highest common factor of 36 and 84 . |
1 | 100 | Tiffany is looking at a lake full of turtles. The turtles are 60% female and the rest are male. Of the males, 1 in 4 has stripes. Of the ones with stripes, 4 are babies, while 60% are adults. How many turtles are in the lake? | Tiffany is looking at a lake full of turtles. The turtles are 60% female and the rest are male. Of the males, 1 in 4 has stripes. Of the ones with stripes, 4 are babies, while 60% are adults. How many turtles are in the lake? |
1 | 61 | After eating a hearty meal they went to see the Buckingham palace. There were 39 paintings in the Buckingham palace. There, Rachel learned that 661 visitors came to the Buckingham palace that day. If there were 600 visitors the previous day. How many more visitors visited the Buckingham palace on that day than on the previous day? | After eating a hearty meal they went to see the Buckingham palace. There were 39 paintings in the Buckingham palace. There, Rachel learned that 661 visitors came to the Buckingham palace that day. If there were 600 visitors the previous day. How many more visitors visited the Buckingham palace on that day than on the previous day? |
1 | 7 | the average of 6 observations is 14 . a new observation is included and the new average is decreased by 1 . the seventh observation is ? | the average of 6 observations is 14 . a new observation is included and the new average is decreased by 1 . the seventh observation is ? |
1 | 5 | A can finish a piece of work in some days. B can do it in 10 days. They work together for two days and then A goes away. B finishes the work in 3.999999999999999 days. In how many days can A finish the work alone? | A can finish a piece of work in some days. B can do it in 10 days. They work together for two days and then A goes away. B finishes the work in 3.999999999999999 days. In how many days can A finish the work alone? |
1 | 1 | The ratio of flour to water to sugar in a recipe is 7 : 2 : 1. The ratio in a new recipe calls for a change in the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 2 cups of water and requires 4 cups of sugar, what is the change in the ratio of flour to water from the original recipe? | The ratio of flour to water to sugar in a recipe is 7 : 2 : 1. The ratio in a new recipe calls for a change in the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 2 cups of water and requires 4 cups of sugar, what is the change in the ratio of flour to water from the original recipe? |
1 | 6953 | Mindy has 7 less than 9 times as many emails waiting for her as phone messages. If she has a total of 93 emails and phone messages combined, how many emails does she have? Additionally, she has a total of 64 more texts than emails squared. How many texts does she have? | Mindy has 7 less than 9 times as many emails waiting for her as phone messages. If she has a total of 93 emails and phone messages combined, how many emails does she have? Additionally, she has a total of 64 more texts than emails squared. How many texts does she have? |
1 | 25\% | A man sells an article at a certain profit percentage. If he had bought it at 20% less and sold it for Rs. 12.60 less, he would have gained 30%. The cost of the article is Rs. 60. What is the original profit percentage? | A man sells an article at a certain profit percentage. If he had bought it at 20% less and sold it for Rs. 12.60 less, he would have gained 30%. The cost of the article is Rs. 60. What is the original profit percentage? |
1 | 50 | A train running at a certain speed crosses a pole in 9 seconds. The length of the train is 125 meters. What is the speed of the train in km/hr? | A train running at a certain speed crosses a pole in 9 seconds. The length of the train is 125 meters. What is the speed of the train in km/hr? |
1 | \$480 | James has to refuel his plane. It used to cost $200 to refill the tank. He got an extra tank to double fuel capacity. Fuel prices also went up by 20%. How much does he pay now for fuel? | James has to refuel his plane. It used to cost $200 to refill the tank. He got an extra tank to double fuel capacity. Fuel prices also went up by 20%. How much does he pay now for fuel? |
1 | 18 | A person bought 115 glass bowls at a certain rate per bowl. He sold 104 of them at Rs. 20 and the remaining broke. The percentage gain for the person is 0.4830917874396135%. What was the rate at which the person bought the glass bowls? | A person bought 115 glass bowls at a certain rate per bowl. He sold 104 of them at Rs. 20 and the remaining broke. The percentage gain for the person is 0.4830917874396135%. What was the rate at which the person bought the glass bowls? |
1 | 1 | Billy and Tiffany are having a contest to see how can run the most miles in a week. On Sunday, Monday, and Tuesday, Billy runs 1 mile each day and Tiffany runs 2 miles each day. On Wednesday, Thursday, and Friday, Billy runs 1 mile each day and Tiffany runs a 1/3 of a mile each day. On Saturday Tiffany assumes she's going to win and takes the day off. How many miles does Billy have to run on Saturday to tie Tiffany? | Billy and Tiffany are having a contest to see how can run the most miles in a week. On Sunday, Monday, and Tuesday, Billy runs 1 mile each day and Tiffany runs 2 miles each day. On Wednesday, Thursday, and Friday, Billy runs 1 mile each day and Tiffany runs a 1/3 of a mile each day. On Saturday Tiffany assumes she's going to win and takes the day off. How many miles does Billy have to run on Saturday to tie Tiffany? |
1 | 60 | James injured himself while exercising. This was not a light injury; he pulled his hamstring which hurt pretty bad for 3 days. Following his physiotherapist's advice, James understood that this type of injury actually requires at least 5 times as long to fully heal. He decided that he'd wait another 3 days beyond that before even thinking about light workouts.
When he does get back into it, his physiotherapist wants him to start off with light exercises only for 2 weeks. And only after that, if his body reacts well, he can get back to moderate intensity workouts for another week.
Finally, assuming no setbacks, his physiotherapist outlined that he would then need to wait 3 weeks after moving to moderate intensity to start lifting heavy again. How long would it take before James can get back to heavy lifting, considering his injury, rest period, light workout period, moderate workout length and the final wait period? | James injured himself while exercising. This was not a light injury; he pulled his hamstring which hurt pretty bad for 3 days. Following his physiotherapist's advice, James understood that this type of injury actually requires at least 5 times as long to fully heal. He decided that he'd wait another 3 days beyond that before even thinking about light workouts.
When he does get back into it, his physiotherapist wants him to start off with light exercises only for 2 weeks. And only after that, if his body reacts well, he can get back to moderate intensity workouts for another week.
Finally, assuming no setbacks, his physiotherapist outlined that he would then need to wait 3 weeks after moving to moderate intensity to start lifting heavy again. How long would it take before James can get back to heavy lifting, considering his injury, rest period, light workout period, moderate workout length and the final wait period? |
1 | 13780 | a soft drink company had 6000 small and 10000 big bottles in storage . if 12 % of small 15 % of big bottles have been sold , then the total bottles remaining in storage is | a soft drink company had 6000 small and 10000 big bottles in storage . if 12 % of small 15 % of big bottles have been sold , then the total bottles remaining in storage is |
1 | 2 | The arithmetic mean and standard deviation of a certain normal distribution are 14.0 and 1.5, respectively. The value that is exactly some standard deviations less than the mean is 11. How many standard deviations less than the mean is this value? | The arithmetic mean and standard deviation of a certain normal distribution are 14.0 and 1.5, respectively. The value that is exactly some standard deviations less than the mean is 11. How many standard deviations less than the mean is this value? |
1 | 2.8 | A man's speed with the current is 15 km/hr and the speed of the current is some km/hr. The man's speed against the current is 9.4 km/hr. What is the speed of the current? | A man's speed with the current is 15 km/hr and the speed of the current is some km/hr. The man's speed against the current is 9.4 km/hr. What is the speed of the current? |
1 | \$20 | Agatha has $60 to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. What does she have left, in dollars, to spend on a seat and handlebar tape? | Agatha has $60 to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. What does she have left, in dollars, to spend on a seat and handlebar tape? |
1 | 0 | Given the equation some_value + 3 / x = 3 / y and wx = y, the average (arithmetic mean) of w and x is 0.5. What is the value that should be added to 3 / x to get 3 / y? | Given the equation some_value + 3 / x = 3 / y and wx = y, the average (arithmetic mean) of w and x is 0.5. What is the value that should be added to 3 / x to get 3 / y? |
1 | 20 | Nine hundred tickets were sold to a concert. Three-fourths of those who bought the ticket came before the start of the concert. Five-ninths of the remaining came few minutes after the first song. Eighty people arrived during the middle part of the concert. How many of those who bought the tickets did not go? | Nine hundred tickets were sold to a concert. Three-fourths of those who bought the ticket came before the start of the concert. Five-ninths of the remaining came few minutes after the first song. Eighty people arrived during the middle part of the concert. How many of those who bought the tickets did not go? |
1 | \$20 | A gift shop sells bracelets at $15 each, a gold heart necklace at $10, and a personalized coffee mug at a certain price. Raine buys three bracelets, two gold heart necklaces, and one coffee mug for her friends. She gets back $15 change from a one hundred dollar bill. How much does each personalized coffee mug cost? | A gift shop sells bracelets at $15 each, a gold heart necklace at $10, and a personalized coffee mug at a certain price. Raine buys three bracelets, two gold heart necklaces, and one coffee mug for her friends. She gets back $15 change from a one hundred dollar bill. How much does each personalized coffee mug cost? |
1 | 4 | In a two-digit number, it is known that its unit's digit exceeds its 10's digit by some amount and that the product of the given number and the sum of its digits is equal to 208. What is the difference between the unit's digit and the 10's digit if the number is 26? | In a two-digit number, it is known that its unit's digit exceeds its 10's digit by some amount and that the product of the given number and the sum of its digits is equal to 208. What is the difference between the unit's digit and the 10's digit if the number is 26? |
1 | 14 | Dany owns a farm, in his farm he has 4 cows and 3 sheep that eat a certain amount of bushels a day. He also has 7 chickens that eat 3 bushels a day. He should have 35 bushels to suffice the animals for a day. How many bushels do the cows and sheep eat per day? | Dany owns a farm, in his farm he has 4 cows and 3 sheep that eat a certain amount of bushels a day. He also has 7 chickens that eat 3 bushels a day. He should have 35 bushels to suffice the animals for a day. How many bushels do the cows and sheep eat per day? |
1 | 6 | A married couple and their 12 children are ordering some pizza. If the couple wants 5 slices each and the children want 2 slices each, how many 6-slice pizzas should they order? | A married couple and their 12 children are ordering some pizza. If the couple wants 5 slices each and the children want 2 slices each, how many 6-slice pizzas should they order? |
1 | 14 | Sally sold 27 Pokemon cards. Dan gave her some new Pokemon cards. Sally bought 20 Pokemon cards. Now, Sally has 34 Pokemon cards. How many Pokemon cards did Dan give her? | Sally sold 27 Pokemon cards. Dan gave her some new Pokemon cards. Sally bought 20 Pokemon cards. Now, Sally has 34 Pokemon cards. How many Pokemon cards did Dan give her? |
1 | \$850 | John buys 3 barbells and gives a certain amount of money and gets $40 in change. Each barbell cost $270. How much money did John give initially? | John buys 3 barbells and gives a certain amount of money and gets $40 in change. Each barbell cost $270. How much money did John give initially? |
1 | 15\% | Donald went to a computer store. He saw a reduction in the price of the laptop he wants to buy. The laptop originally costs $800, and now he will pay $680 for the laptop. What is the percentage of the price reduction? | Donald went to a computer store. He saw a reduction in the price of the laptop he wants to buy. The laptop originally costs $800, and now he will pay $680 for the laptop. What is the percentage of the price reduction? |
1 | 3 | A train 55 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? | A train 55 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? |
1 | 21 | The speed of a boat in still water is some km/hr and the rate of current is 8 km/hr. The distance travelled downstream in 13 minutes is 6.283333333333333 km. What is the speed of the boat in still water? | The speed of a boat in still water is some km/hr and the rate of current is 8 km/hr. The distance travelled downstream in 13 minutes is 6.283333333333333 km. What is the speed of the boat in still water? |
1 | 2.5 | In the xy-coordinate system, there is a line that goes through the origin and is equidistant from two points P and Q. The slope of this line is 0.8. If the y-coordinate of point Q is 2, what is the x-coordinate of point Q? | In the xy-coordinate system, there is a line that goes through the origin and is equidistant from two points P and Q. The slope of this line is 0.8. If the y-coordinate of point Q is 2, what is the x-coordinate of point Q? |
1 | 8 | There are 14240 books in a library. They are arranged on shelves that hold a certain number of books each. There are 1780 shelves in the library. How many books does each shelf hold? | There are 14240 books in a library. They are arranged on shelves that hold a certain number of books each. There are 1780 shelves in the library. How many books does each shelf hold? |
1 | 66 | There are six more white birds next to a cage than grey birds in the cage. If the number of grey birds in the cage is 40, and after ten minutes, half of the birds in the cage are freed and fly away, calculate the total number of birds remaining. | There are six more white birds next to a cage than grey birds in the cage. If the number of grey birds in the cage is 40, and after ten minutes, half of the birds in the cage are freed and fly away, calculate the total number of birds remaining. |
1 | 9 | 632-AB1=41 is valid. What is B? | 632-AB1=41 is valid. What is B? |
1 | 74\% | In an election, candidate Douglas won 66 percent of the total vote in counties X and Y. He won some percent of the vote in county X. If the ratio of people who voted in county X to county Y is 2:1, and he won 50.00000000000002 percent of the vote in county Y, what percent of the vote did candidate Douglas win in county X? | In an election, candidate Douglas won 66 percent of the total vote in counties X and Y. He won some percent of the vote in county X. If the ratio of people who voted in county X to county Y is 2:1, and he won 50.00000000000002 percent of the vote in county Y, what percent of the vote did candidate Douglas win in county X? |
1 | 80 | Lisa was collecting socks to donate to a homeless shelter. She bought 12 pairs at a discount store. Sandra, her friend, came over and brought her 20 pairs of socks. Her cousin showed up with one-fifth the number of pairs that Sandra bought. After work, Lisa’s mom brought 8 more than three times the number of pairs Lisa started with. How many pairs of socks did Lisa end up with? | Lisa was collecting socks to donate to a homeless shelter. She bought 12 pairs at a discount store. Sandra, her friend, came over and brought her 20 pairs of socks. Her cousin showed up with one-fifth the number of pairs that Sandra bought. After work, Lisa’s mom brought 8 more than three times the number of pairs Lisa started with. How many pairs of socks did Lisa end up with? |
1 | 35 | The sum of 6 consecutive natural numbers is 105. Find the sum of the largest and smallest of the six natural numbers. | The sum of 6 consecutive natural numbers is 105. Find the sum of the largest and smallest of the six natural numbers. |
1 | 8 | An inclined escalator forms an angle of 30 degrees with the ground and moves towards the top level at the rate of 12 ft/sec. The length of the escalator, along the incline, is 160 feet. If a person walks on the moving escalator at the rate of 8 feet per second in the direction of the top level, how much time does he take to cover the entire length? | An inclined escalator forms an angle of 30 degrees with the ground and moves towards the top level at the rate of 12 ft/sec. The length of the escalator, along the incline, is 160 feet. If a person walks on the moving escalator at the rate of 8 feet per second in the direction of the top level, how much time does he take to cover the entire length? |
1 | 12 | For some servings of Chicken Surprise, you need 4.5 pounds of chicken and 24 ounces of stuffing. One serving of Chicken Surprise would be 8 ounces. How many servings does this recipe make? | For some servings of Chicken Surprise, you need 4.5 pounds of chicken and 24 ounces of stuffing. One serving of Chicken Surprise would be 8 ounces. How many servings does this recipe make? |
1 | 18 | Jason has 18 books, and he has read some of them. Mary has 42 books. Together, they have 60 books. How many books has Jason read? | Jason has 18 books, and he has read some of them. Mary has 42 books. Together, they have 60 books. How many books has Jason read? |
1 | 14 | If a is the smallest positive integer such that 3150 multiplied by a is the square of an integer, what is the value of a? | If a is the smallest positive integer such that 3150 multiplied by a is the square of an integer, what is the value of a? |
1 | 6 | Marissa has 12.5 feet of ribbon that she wants to use to tie some boxes. If 0.3 feet of ribbon is left after Marissa uses 1.75 feet of ribbon to tie each box, find out how many boxes she tied? | Marissa has 12.5 feet of ribbon that she wants to use to tie some boxes. If 0.3 feet of ribbon is left after Marissa uses 1.75 feet of ribbon to tie each box, find out how many boxes she tied? |
1 | 35 | a train 560 m in length crosses a telegraph post in 16 seconds . the speed of the train is ? | a train 560 m in length crosses a telegraph post in 16 seconds . the speed of the train is ? |
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