has_full_info
int64 | ground_truth
string | query
string | problem
string |
|---|---|---|---|
0 | 4 | Drew is 5 years older than Maya. Peter is some years older than Drew. John is 30 and is twice as old as Maya. In 2 years, Jacob will be exactly half of Peter’s age, and Jacob is 11 years old now. How many years older is Peter than Drew? | Drew is 5 years older than Maya. Peter is some years older than Drew. John is 30 and is twice as old as Maya. In 2 years, Jacob will be exactly half of Peter’s age, and Jacob is 11 years old now. How many years older is Peter than Drew? |
1 | 8 | Two athletes decided to compete to see who had the best jumping ability. The first athlete jumped 26 feet in the long jump, 30 feet in the triple jump, and 7 feet in the high jump. The second athlete jumped 24 feet in the long jump, 34 feet in the triple jump, and some distance in the high jump. The average jump of the winner was 22 feet. How high did the second athlete jump in the high jump? | Two athletes decided to compete to see who had the best jumping ability. The first athlete jumped 26 feet in the long jump, 30 feet in the triple jump, and 7 feet in the high jump. The second athlete jumped 24 feet in the long jump, 34 feet in the triple jump, and some distance in the high jump. The average jump of the winner was 22 feet. How high did the second athlete jump in the high jump? |
0 | 11 | If x is equal to the sum of the integers from 10 to 30, inclusive, and y is the number of even integers from 10 to 30, inclusive, what is the value of y when the value of x + y is 431? | If y is the number of even integers from 10 to 30, inclusive, what is the value of y when the value of x + y is 431? |
0 | 3 | Find the number of moles of Water formed on combining 3 moles of Ammonium chloride and 3 moles of Sodium hydroxide | Find the number of moles of Water formed on combining
information to be removed: 3 moles of Ammonium chloride and 3 moles of Sodium hydroxide |
0 | 8 | Some cubes, each with a volume of 512 cm^3, are joined to form one large cube. The surface area of the large cube is 1536 cm^2. How many cubes were joined to form the large cube? | Some cubes, each with a volume of 512 cm^3, are joined to form one large cube. How many cubes were joined to form the large cube? |
1 | 20\% | John is a door-to-door salesman. He visits 50 houses a day. A certain percentage of them buy something from him. Of those that buy something, half buy a $50 set of knives and the other half buy a $150 set of knives. He sells $5000 worth of products a week when he works 5 days a week. What percentage of the houses he visits buy something from him? | John is a door-to-door salesman. He visits 50 houses a day. A certain percentage of them buy something from him. Of those that buy something, half buy a $50 set of knives and the other half buy a $150 set of knives. He sells $5000 worth of products a week when he works 5 days a week. What percentage of the houses he visits buy something from him? |
0 | 8 | Nancy went to 9 football games this month. She went to some games last month, and plans to go to 7 games next month. She paid 3 dollars for the tickets. In all, she would attend 24 games. How many games did she go to last month? | Nancy went to 9 football games this month. She went to some games last month, and plans to go to 7 games next month. She paid 3 dollars for the tickets.
In all, she would attend 24 games. How many games did she go to last month? |
0 | 25 | right triangle pqr is the base of the prism in the figure above . if pq = pr = â ˆ š 5 and the height of the prism is 10 , what is the volume of the prism ? | right triangle pqr is the base of the prism in the figure above. if the height of the prism is 10, what is the volume of the prism? |
0 | 20\% | A group of 4 friends pay for rent each month, and the average rent is $800. After one person's rent is increased by a certain percentage, the new mean is $870. The original rent of the friend whose rent is increased was $1400. What is the percentage increase in that friend's rent? | A group of 4 friends pay for rent each month, and the average rent is $800. After one person's rent is increased by a certain percentage, the new mean is $870. What is the percentage increase in that friend's rent? |
0 | 23 | Find the smaller one between the two odd numbers when the sum of two consecutive odd numbers is 48. | Find the smaller one between the two odd numbers. |
1 | 2 | Find the number of moles of Water formed on combining 2 moles of Ammonium nitrate and 2 moles of Sodium hydroxide. | Find the number of moles of Water formed on combining 2 moles of Ammonium nitrate and 2 moles of Sodium hydroxide. |
0 | 680 | The perimeter of a rectangular garden is some meters. Its length is 258 m when its breadth is 82 m. What is the perimeter of the garden? | The perimeter of a rectangular garden is some meters. What is the perimeter of the garden? |
0 | 1 | A placed 3 sheets with a certain number of carbons to get extra copies of the original. Then he decided to get more carbon copies and folded the paper in such a way that the upper half of the sheets were on top of the lower half. Then he typed. He got 2 carbon copies. How many carbons were there in each sheet? | A placed 3 sheets with a certain number of carbons to get extra copies of the original. Then he decided to get more carbon copies and folded the paper in such a way that the upper half of the sheets were on top of the lower half. Then he typed.
How many carbons were there in each sheet? |
0 | 280 | Johny traveled South 40 miles, then turned East and traveled for 20 more miles than the distance he took to travel to the south. After that, he turned North and traveled twice the distance he had traveled to the East. Finally, he made another turn to the West and traveled a distance equal to half the distance he traveled to the North before reaching his final destination. Calculate the total distance of his entire journey. | Johny traveled South 40 miles, then turned East and traveled for 20 more miles than the distance he took to travel to the south. After that, he turned North and traveled twice the distance he had traveled to the East. Finally, he made another turn to the West and traveled a distance equal to half the distance he traveled to the North before reaching his final destination. Calculate the total distance of his entire journey. |
0 | 36 | In a biology class, the teacher asks Noah to report the number of insects in the laboratory. Noah calculates that there are 6 insects. What is the total number of legs for these insects, considering that each insect has 6 legs? | In a biology class, the teacher asks Noah to report the number of insects in the laboratory. What is the total number of legs for these insects, considering that each insect has 6 legs? |
0 | 60 | The length of each side of the parallelogram is 18 centimeters (cm) and 12 centimeters (cm), respectively. Find the circumference of this parellelogram. | Find the circumference of this parallelogram. |
0 | 1/11 | kim has 6 pairs of shoes ; each pair is a different color . if kim randomly selects 2 shoes without replacement from the 12 shoes , what is the probability that she will select 2 shoes of the same color ? | kim has 12 shoes ; if kim randomly selects 2 shoes without replacement from the 12 shoes, what is the probability that she will select 2 shoes of the same color? |
0 | 76.02 | Calculate molecular weight of Dinitrogen trioxide | Calculate molecular weight of Dinitrogen trioxide |
0 | 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? | On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the larger number? |
0 | 8 | The perimeter of an isosceles right triangle is some value plus 8 sq rt 2. The length of the hypotenuse of the triangle is 5.656854249492381. What is the sum of the lengths of the two equal sides of the triangle? | The perimeter of an isosceles right triangle is some value plus 8 sqrt 2. What is the sum of the lengths of the two equal sides of the triangle? |
1 | 3225 | simple interest on a certain sum of money for 5 years at 8 % per annum is half the compound interest on rs . 8000 for 2 years at 15 % per annum . the sum placed on simple interest is | simple interest on a certain sum of money for 5 years at 8 % per annum is half the compound interest on rs . 8000 for 2 years at 15 % per annum . the sum placed on simple interest is |
0 | \$130 | John's shirt cost 60% more than his pants. His pants cost $50. How much was John's outfit? | John's shirt cost 60% more than his pants. His outfit cost was the sum of the cost of his shirt and his pants. |
1 | \$6.00 | Josh has 9 dollars. He spent $1.75 on a drink, and then spent another $1.25. How much money, in dollars, does Josh have left? | Josh has 9 dollars. He spent $1.75 on a drink, and then spent another $1.25. How much money, in dollars, does Josh have left? |
0 | \frac{1}{10} | At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and some fraction on bakery products. He spent the remaining $10 on candy. John spent $150 at the supermarket. What fraction of his money did he spend on bakery products? | At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and some fraction on bakery products. He spent the remaining $10 on candy. What fraction of his money did he spent on bakery products? |
0 | 77 | Of the 35 students in Taehyung's class, 3 of them scored 93, 83, and 87 points on the Korean language test, respectively. If the average Korean language score of the rest of the students is 76, what is the average Korean language score of the whole class? | Of the 35 students in Taehyung's class, 3 of them scored 93, 83, and 87 points on the Korean language test, respectively. If the average Korean language score of the rest of the students is 76, what is the average Korean language score of the whole class? |
0 | 720 | A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the required fencing is 92 feet, what is the area of the field? | A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the required fencing is 92 feet, what is the area of the field?
information to be removed: Critical information: The required fencing is 92 feet.
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. What is the area of the field? |
0 | 22 | Jake creates a new signature drink that is 4 parts Coke, 2 parts Sprite, and 5 parts Mountain Dew. If the drink contains 8 ounces of Coke, how many ounces is the entire drink? | Jake creates a new signature drink that is 4 parts Coke, 2 parts Sprite, and 5 parts Mountain Dew. If the drink contains 8 ounces of Coke, how many ounces is the entire drink? |
0 | \$6.25 | A reduction in the price of petrol by 20% enables three motorists A, B, and C to buy additional gallons for their budgets of $200, $300, and $400 respectively. Motorist A was able to buy 8 more gallons, motorist B was able to buy 15 more gallons, and motorist C was able to buy 22 more gallons. Find the original price of petrol per gallon. | A reduction in the price of petrol by 20% enables three motorists A, B, and C to buy additional gallons for their budgets of $200, $300, and $400 respectively. Motorist B was able to buy 15 more gallons, and motorist C was able to buy 22 more gallons. Find the original price of petrol per gallon. |
1 | 11 | Bruce buys 5 packs of crayons at $5 each, 10 books at $5 each, and 3 calculators at $5 each. He has $200. He can buy some bags with the change. If one bag costs $10 each, how many bags can he buy with the change? | Bruce buys 5 packs of crayons at $5 each, 10 books at $5 each, and 3 calculators at $5 each. He has $200. He can buy some bags with the change. If one bag costs $10 each, how many bags can he buy with the change? |
0 | 6 | Andre catches 8 ladybugs on Monday and 5 ladybugs on Tuesday. Each ladybug has a certain number of dots. There are 78 dots in total for all the ladybugs. How many dots does each ladybug have? | Each ladybug has a certain number of dots. There are 78 dots in total for all the ladybugs. How many dots does each ladybug have? |
0 | \$1920 | Johnny makes his signature crab dish 40 times a day. It uses 1.5 pounds of crab meat. Crab meat sells for $8 per pound. How much does he spend in a week if he is closed 3 days a week? | It uses 1.5 pounds of crab meat. Crab meat sells for $8 per pound. How much does he spend in a week if he is closed 3 days a week? |
0 | 750 | a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 40 % , what is the total capacity of the pool in gallons ? | A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80 % of its capacity. if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 40 %, what is the total capacity of the pool in gallons? |
0 | 20 | a 180 meter long train crosses a man standing on the platform in 9 sec . what is the speed of the train ? | what is the speed of the train? |
0 | 7 | The size of a flat-screen tablet is given as the length of the screen's diagonal. A square flat-screen tablet has a screen that is 7.5 square inches greater than another square flat-screen tablet. If the larger tablet has an 8-inch diagonal, what is the diagonal length of the smaller tablet? | A square flat-screen tablet has a screen that is 7.5 square inches greater than another square flat-screen tablet. If the larger tablet has an 8-inch diagonal, what is the diagonal length of the smaller tablet? |
0 | 6 | There are 3 workers producing chairs in a furniture factory. Each of them produces 4 chairs an hour. As a group, they produce an additional chair every few hours. After 6 hours, they have produced 73 chairs in total. How often do they produce an additional chair as a group? | There are 3 workers producing chairs in a furniture factory. As a group, they produce an additional chair every few hours. After 6 hours, they have produced 73 chairs in total. How often do they produce an additional chair as a group? |
0 | 350 | Carrie harvested 200 tomatoes and some carrots on her farm. If she can sell a tomato for $1 and a carrot for $1.50, she can make $725 if she sells all of her tomatoes and carrots. How many carrots did Carrie harvest? | Carrie harvested some tomatoes and some carrots on her farm. If she can sell a tomato for $1 and a carrot for $1.50, she can make $725 if she sells all of her tomatoes and carrots. How many carrots did Carrie harvest? |
1 | 2 | There are 4 squirrels in a tree with 2 nuts. What's the difference of the number of squirrels and nuts over there? | There are 4 squirrels in a tree with 2 nuts. What's the difference of the number of squirrels and nuts over there? |
0 | 3 | Annie is a mother of 3 children: Mark, Matt, and Mike. She decided to give them some fruits. Mike received some oranges. Matt got twice as many apples, and Mark got as many bananas as Mike and Matt received fruits altogether. The three children have 18 fruits in total. How many oranges did Mike receive? | Annie is a mother of 3 children: Mark, Matt, and Mike. She decided to give them some fruits. Matt got twice as many apples, and Mark got as many bananas as Mike and Matt received fruits altogether. The three children have 18 fruits in total. How many fruits did Mike receive? |
0 | 10.34\% | a certain pair of used shoes can be repaired for $ 14.50 and will last for 1 year . a pair of the same kind of shoes can be purchased new for $ 32.00 and will last for 2 years . the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes ? | a certain pair of used shoes can be repaired for $ 14.50 and will last for 1 year. a pair of the same kind of shoes can be purchased new for $ 32.00 and will last for 2 years. the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes? |
0 | \$14 | James goes out to eat. He orders a steak and egg meal for $16. He is with his friend, who orders chicken fried steak for some amount. His friend pays for half the bill and James pays the tip along with his half of the bill. They tip 20%. James paid $21. How much did the chicken fried steak cost? | James goes out to eat. He orders a steak and egg meal for $16. He is with his friend, who orders chicken fried steak for some amount. His friend pays for half the bill and James pays the tip along with his half of the bill. They tip 20%.
James paid $21. |
0 | \$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 for $40 each. How much do they pay for syrup a week? |
0 | 7 | The cafeteria had 86 apples. For lunch they handed out 30 to students and decided to use the rest to make pies. If each pie takes 8 apples, how many pies could they make? | For lunch they handed out 30 to students and decided to use the rest to make pies. If each pie takes 8 apples, how many pies could they make? |
0 | 20 | Willy is starting a new TV series on Netflix. The TV series has 3 seasons, and each season has a certain number of episodes. If Willy watches 2 episodes a day, it will take him 30 days to finish the entire series. How many episodes are in each season? | Willy is starting a new TV series on Netflix. The TV series has 3 seasons, and each season has a certain number of episodes. If Willy watches 2 episodes a day, it will take him 30 days to finish the entire series. How many episodes are in each season? |
1 | 15\% | I bought two books for Rs. 540. I sold one at a certain loss percentage and the other at a gain of 19%, and then I found each book was sold at the same price. The cost of the book sold at a loss was Rs. 315. What was the loss percentage on the first book? | I bought two books for Rs. 540. I sold one at a certain loss percentage and the other at a gain of 19%, and then I found each book was sold at the same price. The cost of the book sold at a loss was Rs. 315. What was the loss percentage on the first book? |
0 | 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. 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 | 4 | in a certain alphabet , 16 letters contain a dot and a straight line . 30 letters contain a straight line but do not contain a dot . if that alphabet has 50 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ? | in a certain alphabet , 16 letters contain a dot and a straight line . 30 letters contain a straight line but do not contain a dot . if that alphabet has 50 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ? |
1 | 24 | Betsy is sewing a quilt. The quilt is made up of 16 squares sewn together on one side and 16 squares sewn together on the other side. Betsy has already sewn 25% of the quilt together. How many more squares does she need to sew together? | Betsy is sewing a quilt. The quilt is made up of 16 squares sewn together on one side and 16 squares sewn together on the other side. Betsy has already sewn 25% of the quilt together. How many more squares does she need to sew together? |
0 | 1/4 | Daniel owns a textile company. Every Monday he delivers 20 yards of fabric, and every Tuesday he delivers twice the amount of fabric he delivers on Monday. Every Wednesday, he delivers some fraction of the amount of fabric he delivers on Tuesday. If each yard of fabric costs $2 and each yard of yarn costs $3, he earns $140 from Monday to Wednesday. What is the fraction of the amount of fabric he delivers on Wednesday compared to the amount he delivers on Tuesday? | Daniel owns a textile company. Every Monday he delivers 20 yards of fabric, and every Tuesday he delivers twice the amount of fabric he delivers on Monday. If each yard of fabric costs $2 and each yard of yarn costs $3, he earns $140 from Monday to Wednesday. What is the fraction of the amount of fabric he delivers on Wednesday compared to the amount he delivers on Tuesday? |
0 | \$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. How much did the new game cost? |
0 | 70\% | How much water should be added to 12 liters of a 20% solution of alcohol to reduce the concentration of alcohol in the solution by a certain percentage? The answer is 28 liters of water. What is the percentage reduction in the concentration of alcohol? | How much water should be added to 12 liters of a 20% solution of alcohol to reduce the concentration of alcohol in the solution by a certain percentage?
/
Do not say anything else. |
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? |
0 | 16 | the ratio between the number of sheep and the number of horses at the stewar farm is 2 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ? | if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is the number of sheep in the form?? |
1 | 9 | You hike up a hill at a certain rate. You hike back down the hill at 6 mph. The total time you spent on the hiking trip was 3 hours, and it took you 1.2 hours to hike up the hill. What was your hiking rate going up the hill? | You hike up a hill at a certain rate. You hike back down the hill at 6 mph. The total time you spent on the hiking trip was 3 hours, and it took you 1.2 hours to hike up the hill. What was your hiking rate going up the hill? |
0 | 3 | Nancy takes 3 antacids per day when she eats Indian food, 2 antacids per day when she eats Mexican food, and 1 antacid per day otherwise. If Nancy eats Indian a certain number of times a week and Mexican twice a week, she takes 60 antacids per month. How many times a week does she eat Indian food? | Nancy takes 3 antacids per day when she eats Indian food, and 1 antacid per day otherwise. If Nancy eats Indian a certain number of times a week and she takes 60 antacids per month. How many times a week does she eat Indian food? |
0 | 2 | Jackie has 10 apples. Adam has 8 apples. How many more apples does Jackie have than Adam? | Adam has 8 apples. How many more apples does Jackie have than Adam? |
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? |
0 | 50 | Two days ago, Uncle Welly planted some roses on his vacant lot. Yesterday, he planted 20 more roses than the previous day. Today, he planted twice the number of roses than two days ago. Uncle Welly planted 220 roses in his vacant lot. How many roses did he plant two days ago? | Two days ago, Uncle Welly planted some roses on his vacant lot. Yesterday, he planted 20 more roses than the previous day. Today, he planted twice the number of roses than two days ago. How many roses did he plant two days ago? |
0 | 5 | Shelly and Sam love to go deep sea fishing for swordfish. Each time they go deep sea fishing, Shelly catches 2 less than five swordfish, and Sam catches one less swordfish than Shelly. They catch a total of 25 swordfish. How many times do Sam and Shelly go fishing? | Shelly and Sam love to go deep sea fishing for swordfish. Each time they go deep sea fishing, Shelly catches 2 less than five swordfish, and Sam catches one less swordfish than Shelly. They catch a total of 25 swordfish. How many times do Sam and Shelly go fishing? |
0 | 5000 | population of a city decreases by 10 % at the end of first year and increases by 10 % at the end of second year and again decreases by 10 % at the end of third year . if the population of the city at the end of third year is 4455 , then what was the population of the city at the beginning of the first year ? | population of a city decreases by 10 % at the end of first year and increases by 10 % at the end of second year and again decreases by 10 % at the end of third year. if the population of the city at the end of third year is 4455, then what was the population of the city at the beginning of the first year? |
0 | 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 difference between its length and breadth is 15. What is the area of the hall? |
0 | 3 | Jack received 10 emails in the morning, 7 emails in the afternoon and 17 emails in the evening.. How many more emails did Jack receive in the morning than in the afternoon? | Jack received 10 emails in the morning, 7 emails in the afternoon and 17 emails in the evening. How many more emails did Jack receive in the morning than in the afternoon?
information to be removed: Jack received 10 emails in the morning and 7 emails in the afternoon.
Jack received 10 emails in the morning, 17 emails in the evening. How many more emails did Jack receive in the morning than in the afternoon? |
0 | 56.56 | A semicircle has a radius of 11. What is the approximate perimeter of the semicircle? | A semicircle has a radius. What is the approximate perimeter of the semicircle? |
0 | 14 | At the arcade Debby spent 2 tickets on a hat, 10 on a stuffed animal, and 2 on a yoyo. How many tickets did she spend total? | At the arcade Debby spent on a hat, on a stuffed animal, and on a yoyo. How many did she spend total? |
1 | 14 | If Anne hiked in the forest for a total of 6 hours, spending the first 2 hours on a flat terrain at a speed of 3 miles per hour, then taking a 1-hour break before continuing her hike uphill for the next 2 hours at a speed of 2 miles per hour, and finally taking another break before heading downhill for the last hour at a speed of 4 miles per hour, how far did Anne travel in total? | If Anne hiked in the forest for a total of 6 hours, spending the first 2 hours on a flat terrain at a speed of 3 miles per hour, then taking a 1-hour break before continuing her hike uphill for the next 2 hours at a speed of 2 miles per hour, and finally taking another break before heading downhill for the last hour at a speed of 4 miles per hour, how far did Anne travel in total? |
0 | 6 | there are 2 white plates , 6 green plates , 8 red plates , 4 pink plates , and 10 purple plates in the cabinet . what is the least number of plates that you have to pull out to make sure that you will have a matching pair ? ( assume that all the plates are identical except for the color ) | There are 2 white plates, 6 green plates, 8 red plates, 4 pink plates, and 10 purple plates in the cabinet. what is the least number of plates that you have to pull out to make sure that you will have a matching pair? |
0 | 8 | John carves a giant marble rectangular prism of a certain height with a 2-meter square base. It has a density of 2700 kg per cubic meter. It weighs 86,400 kg. How tall is the marble rectangular prism? | John carves a giant marble rectangular prism of a certain height with a 2-meter square base. It weighs 86,400 kg. How tall is the marble rectangular prism? |
0 | 7 | A vase can hold 6 flowers. If you had a certain number of carnations and 47 roses, you would need 9 vases to hold the flowers. How many carnations do you have? | A vase can hold 6 flowers. If you had a certain number of carnations and 47 roses, you would need 9 vases to hold the flowers. How many carnations do you have? |
1 | 36 | Two trains of equal length are running on parallel lines in the same directions at 46 km/hr and another speed. The faster train passes the slower train in 54 seconds. The length of each train is 75 meters. What is the speed of the slower train? | Two trains of equal length are running on parallel lines in the same directions at 46 km/hr and another speed. The faster train passes the slower train in 54 seconds. The length of each train is 75 meters. What is the speed of the slower train? |
0 | 112 | Let x represent the number of stamps in Kylie's collection and y represent the number of stamps in Nelly's collection. According to the problem, x = 34 and y = x + 44. Write an algebraic expression to represent the total number of stamps in both their collections and solve for x and y. | Let x represent the number of stamps in Kylie's collection and y represent the number of stamps in Nelly's collection. According to the problem, x = 34 and y = x. Write an algebraic expression to represent the total number of stamps in both their collections and solve for x and y. |
0 | 20 | Pipe A fills a tank of capacity 750 liters at the rate of 40 liters a minute. Another pipe B fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at a certain rate. If pipe A is kept open for a minute and then closed, and pipe B is open for a minute and then closed, and then pipe C is open for a minute and then closed, and the cycle is repeated, the tank will be full in 45 minutes. What is the rate at which the pipe at the bottom drains the tank? | Pipe A fills a tank of capacity 750 liters at the rate of 40 liters a minute. Another pipe B fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at a certain rate. If pipe A is kept open for a minute and then closed, and pipe B is open for a minute and then closed, and then pipe C is open for a minute and then closed, the tank will be full after repeating the cycle. What is the rate at which the pipe at the bottom drains the tank? |
0 | 10 | A farmer has a certain number of rows of corn stalks and 5 rows of potatoes. Half of his crops have been destroyed by pests. He still has 120 crops. If rows of corn stalks should produce 9 corn cobs each, and rows of potatoes should produce 30 potatoes each, how many rows of corn stalks does the farmer have? | A farmer has a certain number of rows of corn stalks and 5 rows of potatoes. He still has 120 crops. If rows of corn stalks should produce 9 corn cobs each, and rows of potatoes should produce 30 potatoes each, how many rows of corn stalks does the farmer have? |
0 | 108 | Two trains of equal length are running on parallel lines in the same directions at 46 km/hr and 36 km/hr. The faster train passes the slower train in some time. The length of each train is 150 meters. How many seconds does it take for the faster train to pass the slower train? | Two trains of equal length are running on parallel lines in the same directions at 46 km/hr and 36 km/hr. The faster train passes the slower train in some time. How many seconds does it take for the faster train to pass the slower train? |
0 | \$106.33 | For his car, Mike spent $118.54 on speakers and some amount on new tires. He wanted 3 CD's for $4.58 each but decided not to. In total, Mike spent $224.87 on car parts. How much did Mike spend on new tires? | For his car, Mike spent $118.54 on speakers and some amount on new tires. He wanted 3 CD's for $4.58 each but decided not to. In total, Mike spent $118.54 on speakers. How much did Mike spend on new tires? |
0 | 100 | A certain manufacturer of cake, muffin, and bread mixes has some buyers, of whom 50 purchase cake mix, 40 purchase muffin mix, and 19 purchase both cake mix and muffin mix. If a buyer is to be selected at random, the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix is 0.29. How many buyers are there in total? | A certain manufacturer of cake, muffin, and bread mixes has some buyers, of whom 50 purchase cake mix, 40 purchase muffin mix, and 19 purchase both cake mix and muffin mix. If a buyer is to be selected at random, how many buyers are there in total? |
0 | 11 | two stations a and b are 155 km apart on a straight line . one train starts from a at 7 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ? | two stations a and b are apart on a straight line. one train starts from a at 7 a. m. and travels towards b at 20 kmph. another train starts from b at 8 a. m. and travels towards a at a speed of 25 kmph. at what time will they meet? |
0 | 7.5 | Lloyd normally works some hours per day and earns $5.50 per hour. For each hour he works in excess of that time on a given day, he is paid 1.5 times his regular rate. If Lloyd works 10.5 hours on a given day, he earns $66 for that day. How many hours does Lloyd normally work per day? | Lloyd normally works some hours per day and earns $5.50 per hour. For each hour he works in excess of that time on a given day, he is paid 1.5 times his regular rate. If Lloyd works 10.5 hours on a given day, he earns some amount of money for that day. How many hours does Lloyd normally work per day? |
0 | 2 | A person can row at 10 kmph in still water. If the velocity of the current is a certain speed and it takes him 10 hours to row to a place and come back, the place is 48 km away. What is the velocity of the current? | If the velocity of the current is a certain speed and it takes him 10 hours to row to a place and come back, the place is 48 km away. What is the velocity of the current? |
0 | 5 | The sum of 2 numbers is 24. Seven times the smaller number is the same as a certain multiple of the larger number. The smaller number is 10.0. What is the multiple of the larger number that equals 7 times the smaller number? | The sum of 2 numbers is 24. Seven times the smaller number is the same as a certain multiple of the larger number. What is the multiple of the larger number that equals 7 times the smaller number? |
0 | 11 | Tickets for a concert were priced at 9 dollars for students and some amount for non-students. There were 2,000 tickets sold for a total of 20,960 dollars, and 520 student tickets were sold. What was the price of a non-student ticket? | Tickets for a concert were priced at 9 dollars for students and some amount for non-students. There were 2,000 tickets sold for a total of 20,960 dollars. What was the price of a non-student ticket? |
0 | 3 | In triangle PQR, the angle Q = 90 degrees, PQ = 3 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. What is the least possible length of XZ? | In triangle PQR, the angle Q = 90 degrees, X is a variable point on PQ, The line through X parallel to QR intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. What is the least possible length of XZ? |
0 | 100 | The ratio of buses to cars on River Road is 1 to 10. If there are 90 fewer buses than cars on River Road, how many cars are on River Road? | If there are 90 fewer buses than cars on River Road, how many cars are on River Road? |
0 | 2 | If you have 14 cookies in total and 7 bags having equal number of cookies. How many cookies does each bag have? | If you have 14 cookies in total. How many cookies does each bag have? |
0 | 4 | Maxwell leaves his home and walks toward Brad's house at 2 km/h, while Brad leaves his home and runs toward Maxwell's house at a certain speed. The distance between their homes is 36 km. They meet in the middle after Maxwell has traveled 12 km. What is Brad's running speed? | Maxwell leaves his home and walks toward Brad's house at 2 km/h, while Brad leaves his home and runs toward Maxwell's house at a certain speed. They meet in the middle after Maxwell has traveled 12 km. What is Brad's running speed? |
1 | 4 | a number is doubled and 9 is added . if the resultant is trebled , it becomes 51 . what is that number ? | a number is doubled and 9 is added . if the resultant is trebled , it becomes 51 . what is that number ? |
0 | 16 | One ton has 2300 pounds, and one pound has some ounces. 1840 packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons. How many ounces are there in one pound? | 1840 packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons. How many ounces are there in one pound? |
0 | 5 | Mark had 10 pieces of fruit to eat in school this week. On Friday, he decided to keep 2 pieces of fruit for next week. He then brings the remaining 3 pieces of fruit to school for the day. How many pieces of fruit did Mark eat in the first four days of the week? | On Friday, he decided to keep 2 pieces of fruit for next week. He then brings the remaining 3 pieces of fruit to school for the day. How many pieces of fruit did Mark eat in the first four days of the week? |
0 | 9 | Hayley has some close friends who like stickers. If she plans to give all of them an equal number of stickers, each would receive 8 if she has 72 stickers. How many close friends does Hayley have? | Hayley has some close friends who like stickers. If she has 72 stickers, each would receive 8 if she plans to give all of them an equal number of stickers. How many close friends does Hayley have? |
0 | 32 | Tyler has 21 CDs. He gives away a third of his CDs to his friend Sam. Then he goes to a music store and buys 8 brand new CDs. He later gives 2 CDs away to his friend Jenny. After that, Tyler goes back to the music store and buys another 12 CDs, but also receives a discount on 3 CDs. How many CDs does Tyler have now? | Tyler has a certain number of CDs. He gives away a third of his CDs to his friend Sam. Then he goes to a music store and buys 8 brand new CDs. He later gives 2 CDs away to his friend Jenny. After that, Tyler goes back to the music store and buys another 12 CDs, but also receives a discount on 3 CDs. How many CDs does Tyler have now? |
0 | 8 | mixture contains alcohol and water in the ratio 4 : 3 . if 4 liters of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture . | mixture contains alcohol and water in the ratio 4 : 3. if 4 liters of water is added to the mixture, the ratio becomes 4 : 5. find the quantity of alcohol in the given mixture. |
1 | \$100 | A person saved $10 in buying an item on sale. He spent a certain amount for the item and saved approximately 10% in the transaction. What was the original price of the item before the sale? | A person saved $10 in buying an item on sale. He spent a certain amount for the item and saved approximately 10% in the transaction. What was the original price of the item before the sale? |
0 | 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. how many people have visited neither country? |
0 | 10 | James buys some shirts and half as many pants. The shirts cost $6 each and the pants cost $8 each. Everything cost $100. How many shirts did James buy? | The shirts cost $6 each and the pants cost $8 each. Everything cost $100. How many shirts did James buy? |
0 | 685 | Every year, four clowns, thirty children, ten parents, and five vendors visit a carousel. The candy seller at the carousel has an initial supply of 2,000 candies, which includes 700 candies leftover from the previous year. This year, the candy seller sold candies in varying amounts to different groups: 10 candies to each clown, 20 candies to each child, 15 candies to each parent, and 25 candies to each vendor. Additionally, the candy seller gave away 150 candies as prizes for various games at the carousel. In the middle of the events, a group of 20 children bought candies in bulk, receiving a total of 350 candies. Calculate how many candies the candy seller had left after this year's event. | Every year, four clowns, thirty children, ten parents, and five vendors visit a carousel. The candy seller has an initial supply of 2,000 candies. This year, the candy seller sold candies in varying amounts to different groups: 10 candies to each clown, 20 candies to each child, 15 candies to each parent, and 25 candies to each vendor. Additionally, the candy seller gave away 150 candies as prizes for various games at the carousel. In the middle of the events, a group of 20 children bought candies in bulk, receiving a total of 350 candies. Calculate how many candies the candy seller had left after this year's event. |
0 | 20 | Betty is growing parsnips in her vegetable garden. When the parsnips are grown, they are harvested and bundled into boxes that can hold up to 20 parsnips each. Each harvest, three-quarters of the boxes are full, and the remaining boxes are half-full. She grows 350 parsnips in an average harvest. How many boxes does Betty get in an average harvest? | Betty is growing parsnips in her vegetable garden. When the parsnips are grown, they are harvested and bundled into boxes that can hold up to 20 parsnips each. Each harvest, three-quarters of the boxes are full, and the remaining boxes are half-full. She grows 350 parsnips in an average harvest. How many boxes does Betty get in an average harvest? |
0 | 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? | Dan gave Sally some new Pokemon cards. Sally bought 20 Pokemon cards. Now, Sally has 34 Pokemon cards. How many Pokemon cards did Dan give her? |
0 | 54 | Oliver had 135 stickers. He used 1/3 of his stickers, gave 2/5 of the remaining to his friend, and kept the remaining stickers. How many stickers did he keep? | He used 1/3 of his stickers, gave 2/5 of the remaining to his friend, and kept the remaining stickers. |
0 | 6.6 | Set S contains exactly 10 numbers and has an average (arithmetic mean) of 6.2. If one of the numbers in set S is increased by 4, while all other numbers remain the same, what is the new average of set S? | If one of the numbers in set S is increased by 4, while all other numbers remain the same, what is the new average of set S? |
0 | 60 | Tom drives from town A to town B at a certain speed. From town B, Tom immediately continues to town C. The distance between A and B is twice the distance between B and C. The average speed of the whole journey was 36 mph. If Tom's speed driving from B to C is 20 miles per hour, what is his speed driving from A to B? | Tom drives from town A to town B at a certain speed. From town B, Tom immediately continues to town C. The distance between A and B is twice the distance between B and C. If Tom's speed driving from B to C is 20 miles per hour, what is his speed driving from A to B? |
1 | 308 | There are 156 red marbles and 267 blue marbles. Of these, 115 fell off and broke. How many marbles are left? | There are 156 red marbles and 267 blue marbles. Of these, 115 fell off and broke. How many marbles are left? |
1 | 5 | A highly trained swimmer can swim in still water at 10 km/h. However, when swimming in a river with strong currents, whirlpools, and underwater obstacles, it takes the swimmer three times as long to swim upstream as it takes him to swim downstream. What is the speed of the river's current? | A highly trained swimmer can swim in still water at 10 km/h. However, when swimming in a river with strong currents, whirlpools, and underwater obstacles, it takes the swimmer three times as long to swim upstream as it takes him to swim downstream. What is the speed of the river's current? |
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