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int64
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ground_truth
stringlengths
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stringlengths
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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?
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?
0
20
A consignment of some picture tubes contains 5 defectives. Two tubes are selected one after the other at random. The probability that both are defective, assuming that the first tube is not replaced before drawing the second, is 0.05263157894736842. How many picture tubes are in the consignment?
A consignment of some picture tubes contains 5 defectives. Two tubes are selected one after the other at random. How many picture tubes are in the consignment?
0
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. How many gems were there in total?
0
550.17
a 300 meter long train crosses a platform in 51 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?
A train crosses a platform in 51 seconds. What is the length of the platform?
0
47
If you add 45 to a mystery number you will get 92. What is the mystery number?
What is the mystery number?
0
750
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond, and a certain number of responses are needed, the minimum number of questionnaires that should be mailed is 1250. How many responses are needed?
If a certain number of responses are needed, the minimum number of questionnaires that should be mailed is 1250. How many responses are needed?
0
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 shelves 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?
0
84
Car X began traveling at an average speed of 35 miles per hour. After some time, Car Y began traveling at an average speed of 65 miles per hour. When both cars had traveled the same distance, both cars stopped. Car X traveled 49 miles from the time Car Y began traveling until both cars stopped. How many minutes passed before Car Y started traveling?
Car X began traveling at an average speed of 35 miles per hour. After some time, Car Y began traveling at an average speed of 65 miles per hour. When both cars had traveled the same distance, both cars stopped. How many minutes passed before Car Y started traveling?
0
5
A magician was selling magic card decks for 2 dollars each. He started with a certain number of decks and by the end of the day he had 3 left. He earned 4 dollars. How many decks did he start with?
A magician was selling magic card decks for 2 dollars each. He started with a certain number of decks and by the end of the day he had 3 left. How many decks did he start with?
0
1
Given a set of numbers h = { 1 , 7 , 18 , 20 , 29 , 33 }, the mean of the numbers in h is some value less than the median of the numbers in h. How much less is the mean than the median?
Given a set of numbers h = { 1, 7, 18, 20, 29, 33 }, how much less is the mean than the median?
0
32
two cars a and b are running towards each other from different places 88 km apart . if the ratio of the speeds of the cars a and b is 5 : 6 and the speed of the car b is 90 km per hour then after how long will the two meet each other ?
two cars a and b are running towards each other from different places 88 km apart. if the ratio of the speeds of the cars a and b is 5 : 6 then after how long will the two meet each other?
0
105
If a = some number and a ^ 3 = 21 × 25 × 45 × 49, what is the value of a?
If a = some number and a ^ 3 = some number, what is the value of a?
0
6
x can finish a work in 18 days . y can finish the same work in 15 days . yworked for 10 days and left the job . how many days does x alone need to finish the remaining work ?
x can finish a work in 18 days. y worked for 10 days and left the job. how many days does x alone need to finish the remaining work?
0
15
A 200 meter long train crosses a man standing on a platform in 20 seconds. On that particular day, the wind is blowing in the opposite direction of the train with a speed of 5 m/s. Taking into account the wind resistance, what is the true speed of the train?
A 200 meter long train crosses a man standing on a platform. On that particular day, the wind is blowing in the opposite direction of the train with a speed of 5 m/s. Taking into account the wind resistance, what is the true speed of the train?
0
6
There are 28 garden gnomes in a yard. Three-fourths of them have red hats, and the rest have blue hats. Half the garden gnomes have big noses instead of small noses. If six gnomes with blue hats have big noses, and the rest of the gnomes are divided equally into those with striped shirts or with polka-dotted shirts, how many garden gnomes with red hats, small noses and striped shirts are present in the yard?
Three-fourths of them have red hats, and the rest have blue hats. Half the garden gnomes have big noses instead of small noses. If six gnomes with blue hats have big noses, and the rest of the gnomes are divided equally into those with striped shirts or with polka-dotted shirts, how many garden gnomes with red hats, small noses and striped shirts are present in the yard?
0
16
The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number, namely 36, was wrongly read as 26. What is the correct average of the numbers?
It is discovered later on that while calculating the average, one number, namely 36, was wrongly read as 26. What is the correct average of the numbers?
0
22.2
Fred found 47.5 seashells on the beach, and he gave Jessica 25.3 of the seashells. How many seashells does he now have?
Fred gave Jessica 25.3 seashells. How many seashells does he now have?
0
\frac{1}{5}
Jessica withdrew $200 from her bank account, causing her account balance to decrease by 2/5. She then deposits an amount equal to a certain fraction of the remaining balance, resulting in a final balance of $360 in her bank account. What is the fraction of the remaining balance that she deposited?
Jessica deposited an amount equal to a certain fraction of the remaining balance, resulting in a final balance of $360 in her bank account. What is the fraction of the remaining balance that she deposited?
0
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?
0
450
Victor gets 90% marks in examinations. If he scored 405 marks, what are the maximum marks in the examinations?
If he scored 405 marks, what are the maximum marks in the examinations?
0
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?
There are 189 people going to the zoo. How many cars are going to the zoo?
0
10\\%
Nishita receives an annual dividend from 1200 preferred shares and 3000 common shares, both of par value Rs. 50 each. The dividend paid on preferred shares is a certain percentage, and a semi-annual dividend of 3 ½ % is declared on common shares. Nishita receives a total annual dividend of Rs. 16500. What is the dividend rate on preferred shares?
Nishita receives an annual dividend from 1200 preferred shares and 3000 common shares, both of par value Rs. 50 each. The dividend paid on preferred shares is a certain percentage, and a dividend is declared on common shares. Nishita receives a total annual dividend of Rs. 16500. What is the dividend rate on preferred shares?
0
20
john traveled 80 % of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour . the rest of the way john traveled by car at an average speed of v miles per hour . if the average speed for the entire trip was 50 miles per hour , what is v in miles per hour ?
john traveled 80 % of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour. the rest of the way john traveled by car at an average speed of v miles per hour. if the average speed for the entire trip was 50 miles per hour, what is v in miles per hour?
0
\$775.00
Joanne makes $16.00 working at her main job for 8 hours a day. She has a part-time job, working an extra 2 hours a day where she makes $13.50 an hour. How much money does she make if she works this schedule 5 days a week?
Joanne makes $16.00 working at her main job for 8 hours a day. She has a part-time job, working an extra 2 hours a day where she makes $ an hour. How much money does she make if she works this schedule 5 days a week?
0
\$40,000
In Country X, each citizen is taxed an amount equal to 15 percent of the first $X of income, plus 20 percent of all income in excess of $X. A citizen of Country X is taxed a total of $8,000 and her income is $50,000. What is the value of X?
In Country X, each citizen is taxed an amount equal to 15 percent of the first $X of income, plus 20 percent of all income in excess of $X.
0
25\%
If some percent of ( x - y ) = 15 % of ( x + y ), then y is 25 percent of x. What is the percent in the first part of the equation?
If some percent of ( x - y ) = 15 % of ( x + y ), then y is 25 percent of x. What is the percent in the first part of the equation?
0
55
Find the value of the constant term in the equation: 5y^2 - 8y + c = 59, given that the value of y is 2.
Find the value of the constant term in the equation: 5y^2 - 8y + c = 59.
0
240
Carlos and Diego are racing around the block. Carlos runs around the entire block in 3 minutes. Diego runs around half the block in 2.5 minutes and then is tripped by a dog and can't finish. Assuming he kept up the same speed the entire race, what would've been the average time in seconds for the racers?
Diego runs around half the block in 2.5 minutes and then is tripped by a dog and can't finish. Assuming he kept up the same speed the entire race, what would've been the average time in seconds for the racers?
0
\$820
Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 48 people bought tickets to the concert, what was the total revenue from ticket sales?
The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 48 people bought tickets to the concert, what was the total revenue from ticket sales?
0
51
Sarah had some trucks. She gave 13 to Jeff, and now she has 38 trucks left. How many trucks did Sarah have to start with?
Sarah had some trucks. She gave 13 to Jeff, and now she has some trucks left. How many trucks did Sarah have to start with?
0
13
Mike needs 30% to pass. He scored 212 marks and falls short by some marks. The maximum marks he could have got is 750. By how many marks did he fall short?
Mike needs 30% to pass. He scored 212 marks and falls short by some marks. He scored 30% of 750. By how many marks did he fall short?
0
\$10
John works a job that offers performance bonuses. He makes $80 a day and works for 8 hours. He has the option of working hard to earn the performance bonus of an extra $20 a day, but the extra effort results in a 2-hour longer workday. How much does John make per hour if he decides to earn the bonus?
John works a job that offers performance bonuses. He has the option of working hard to earn the performance bonus of an extra $20 a day, but the extra effort results in a 2-hour longer workday. How much does John make per hour if he decides to earn the bonus?
0
1/3
a father purchased dress for his 3 daughters . the dresses are of same color but diff size and they are kept in dark room . what is probability that all the 3 will not choose there own dress ?
A father purchased dresses for his 3 daughters. The dresses are kept in a dark room. What is the probability that all the 3 will not choose their own dress?
0
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. How many animals are in each aquarium?
0
2/5
What fraction of 25, when compared to 80% of 40, is smaller by 22?
What fraction of 25, when compared to 40, is smaller by 22?
0
12.5
a train of length 250 m crosses a bridge of length 150 m in 32 seconds . what is the speed of train ?
A train of length 250 m crosses a bridge of length 150 m in 32 seconds. what is the speed of train?
0
40
Rob has 24 baseball cards, and a few are doubles. One third of Rob's cards are doubles, and Jess has 5 times as many doubles as Rob. How many doubles baseball cards does Jess have?
Rob has 24 baseball cards, and a few are doubles. Jess has 5 times as many doubles as Rob. How many doubles baseball cards does Jess have?
0
30\%
A 6 litre solution has a certain percentage of alcohol. By adding 2.4 litres of pure alcohol, the solution becomes 50% alcohol. What is the initial percentage of alcohol in the solution?
A 6 litre solution has a certain percentage of alcohol. By adding 2.4 litres of pure alcohol, the solution becomes 50% alcohol. What is the initial percentage of alcohol in the solution?
0
50
Joan is preparing sandwiches for a family potluck. She decides to make ham sandwiches and grilled cheese sandwiches. One ham sandwich requires 2 slices of cheese, and one grilled cheese sandwich requires 3 slices of cheese. She uses a certain number of cheese slices to make 10 ham sandwiches and 10 grilled cheese sandwiches. How many slices of cheese does she use in total?
Joan is preparing sandwiches for a family potluck. She decides to make ham sandwiches and grilled cheese sandwiches. She uses a certain number of cheese slices to make 10 ham sandwiches and 10 grilled cheese sandwiches. How many slices of cheese does she use in total?
0
240
a candidate who gets 30 % of the marks fails by 60 marks . but another candidate who gets 45 % marks gets 30 marks more than necessary for passing . find the number of marks for passing ?
A candidate who gets 45 % marks gets 30 marks more than necessary for passing. find the number of marks for passing?
0
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 175000 to 262500 in a decade. What is the average percent increase of population per year?
0
3:1
A pet store has six dogs for sale. They have half as many cats, twice as many birds, and a certain ratio of fish to dogs for sale. There are 39 animals for sale in the pet store. What is the ratio of fish to dogs for sale?
A pet store has six dogs for sale. They have half as many cats, twice as many birds, and a certain ratio of fish to dogs for sale. What is the ratio of fish to dogs for sale.
0
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. Three fifths of the girls have long hair, and the rest have short hair. How many girls have short hair?
0
150
An owner of a pizza stand sold small slices of pizza for a certain price and large slices for Rs. 250 each. One night he sold 5000 slices, for a total of Rs. 10.50 lakh. He sold 2000 small slices. What was the price of each small slice of pizza?
An owner of a pizza stand sold small slices of pizza for a certain price and large slices for Rs. 250 each. One night he sold 5000 slices, for a total of Rs. 10.50 lakh. He sold 2000 small slices. What was the price of each small slice of pizza?
0
14
Tracy, John and Jake found their combined weight to be 158 kilograms. If Tracy weighs 52 kg and Jake weighs 8kg more than Tracy, what is the range of their weights?
John, Jake and Tracy found their combined weight to be 158 kilograms. If Jake weighs 8kg more than Tracy, what is the range of their weights?
0
81
On Thursday, Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3 of the transactions that Anthony handled, and Jade handled 15 more transactions than Cal. In addition, Samantha handled 25% fewer transactions than Jade. How many transactions did Jade handle?
Anthony handled 10% more transactions than Mabel, Cal handled 2/3 of the transactions that Anthony handled, and Jade handled 15 more transactions than Cal. In addition, Samantha handled 25% fewer transactions than Jade. How many transactions did Jade handle?
0
10
Sarah's external drive showed some gigabytes free and 12.6 gigabytes used. She decided to delete a folder of size 4.6 gigabytes and store new files of 2 gigabytes. If she will transfer all her files to a new external drive of size 20 gigabytes, the new external drive will have 10 gigabytes free. How many gigabytes were initially free on Sarah's external drive?
Sarah's external drive showed some gigabytes free and 12.6 gigabytes used. She decided to delete a folder of size 4.6 gigabytes and store new files of 2 gigabytes. If she will transfer all her files to a new external drive of size 20 gigabytes, how many gigabytes were initially free on Sarah's external drive?
0
362,880
How many words, with or without meaning, can be formed using all the letters of the word "polarized" using each letter exactly once?
How many words, with or without meaning, can be formed using all the letters of the word "polarized" using each letter exactly once?
0
2.86
A tank can be filled by 4 pipes a, b, c, and d with varying flow rates. Pipe a can fill the tank in 20 hours, pipe b can fill it in 15 hours, pipe c can fill it in 10 hours, and pipe d is three times faster than pipe c. How much time will pipe a and pipe d together take to fill the tank?
A tank can be filled by 4 pipes a, b, and d with varying flow rates. Pipe a can fill the tank in 20 hours, pipe b can fill it in 15 hours, and pipe d is three times faster than pipe c. How much time will pipe a and pipe d together take to fill the tank?
0
32
At the back of the zoo is a mountain where the birds can roam free in a natural habitat. The children saw 12 types of eagles on the lower section of the mountain, 8 types of eagles on the middle section, and 16 types of eagles on the upper section. However, 4 types of eagles were found living on the intersections of the sections. Taking into account the overlapping types of eagles, how many unique types of eagles did the children see in total across all three sections of the mountain?
At the back of the zoo is a mountain where the birds can roam free in a natural habitat. The children saw 12 types of eagles on the lower section of the mountain, 8 types of eagles on the middle section, and 16 types of eagles on the upper section. However, 4 types of eagles were found living on the intersections of the sections. Taking into account the overlapping types of eagles, how many unique types of eagles did the children see in total across all three sections of the mountain?
0
180
A rectangular prism garden has dimensions of 12 m by 5 m by 3 m, what is its volume?
What is the volume of a rectangular prism garden?
0
2
If (18 ^ a) * 9 ^ (3a - 1) = (some number ^ 6) (3 ^ b) and a and b are positive integers, and the value of a is 6, what is the base of the first exponent in the right side of the equation?
If (18 ^ a) * 9 ^ (3a - 1) = (some number ^ 6) (3 ^ b) and a and b are positive integers, and what is the base of the first exponent in the right side of the equation?
0
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%. What is the original profit percentage?
0
25
A company produces 50,000 bottles of water every day. If a case can hold a certain number of bottles of water and the company requires 2,000 cases to hold its one day production, how many bottles of water can a case hold?
A company produces 50,000 bottles of water every day. If a case can hold a certain number of bottles of water and the company requires a certain number of cases to hold its one day production, how many bottles of water can a case hold?
0
1674
At a multilingual zoo, there are 22 guides who speak one of three languages: English, Spanish, and French. Over a three-day weekend, each guide spoke to a different number of children depending on the language and the day. On Friday, the 10 English-speaking guides spoke to 20 children each, the 6 French-speaking guides spoke to 25 children each, and the remaining Spanish-speaking guides spoke to 30 children each. On Saturday, each English-speaking guide spoke to 22 children, each French-speaking guide spoke to 24 children, and each Spanish-speaking guide spoke to 32 children. Finally, on Sunday, each English-speaking guide spoke to 24 children, each French-speaking guide spoke to 23 children, and each Spanish-speaking guide spoke to 35 children. How many children did the zoo guides speak to in total over the three-day weekend?
At a multilingual zoo, there are guides who speak one of three languages: English, Spanish, and French. Over a three-day weekend, each guide spoke to a different number of children depending on the language and the day. On Friday, the 10 English-speaking guides spoke to 20 children each, the 6 French-speaking guides spoke to 25 children each, and the remaining Spanish-speaking guides spoke to 30 children each. On Saturday, each English-speaking guide spoke to 22 children, each French-speaking guide spoke to 24 children, and each Spanish-speaking guide spoke to 32 children. Finally, on Sunday, each English-speaking guide spoke to 24 children, each French-speaking guide spoke to 23 children, and each Spanish-speaking guide spoke to 35 children. How many children did the zoo guides speak to in total over the three-day weekend?
0
4000
the average monthly income of p and q is rs . 5050 . the average monthly income of q and r is 6250 and the average monthly income of p and r is rs . 5200 . the monthly income of p is ?
the average monthly income of p and q is rs. 5050. the average monthly income of q and r is 6250. the monthly income of p is?
0
12.36\%
The effective annual rate of interest corresponding to a nominal rate of 12% per annum payable half-yearly is what percentage?
The effective annual rate of interest corresponding to a nominal rate of 12% per annum is what percentage?
0
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 vans. How many people can each van hold?
0
5.6
a and b together can do a work in 4 days . if a alone can do it in 14 days . in how many days can b alone do it ?
a alone can do a work in 14 days. in how many days can b alone do it?
0
50\%
the length of a rectangle is halved , while its breadth is tripled . whatis the % change in area ?
What is the % change in area of a rectangle?
0
6.09\%
What is the effective annual rate of interest corresponding to a nominal rate of 6% per annum compounded half yearly?
What is the effective annual rate of interest corresponding to a nominal rate of interest compounded half yearly?
0
20
A person is traveling at a certain speed and reached his destination in 8 hours. The distance is 160 km. What is the person's speed?
A person is traveling at a certain speed and reached his destination in 8 hours. What is the person's speed?
0
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 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?
0
44
a batsman makes a score of 92 runs in the 17 th inning and thus increases his average by 3 . find his average after 17 th inning .
A batsman makes a score of 92 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning.
0
200
A train of a certain length crosses an electric pole in 3.3330666879982935 seconds, with its speed being 216 km/hr. How long is the train?
A train of a certain length crosses an electric pole in 3.3330666879982935 seconds. How long is the train?
0
\$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. He got an extra tank to double fuel capacity. Fuel prices also went up by 20%. How much does he pay now for fuel?
0
30
Gunther needs to clean his apartment. It takes him 45 minutes to vacuum the carpets, 60 minutes to dust the furniture, 30 minutes to mop the floors in his kitchen, and 5 minutes to brush each cat, and he has three cats. If he has 3 hours of free time available, and he uses this time to clean his apartment, how many minutes of free time will he have left after he cleans the apartment?
Gunther needs to clean his apartment. It takes him 45 minutes to vacuum the carpets, 60 minutes to dust the furniture, 30 minutes to mop the floors in his kitchen, and 5 minutes to brush each cat, and he has three cats. If he uses this time to clean his apartment, how many minutes of free time will he have left after he cleans the apartment?
0
216
3rd grade students from Min's school split into 18 15-seater buses to go on a field trip. If 3 seats are empty in each bus, how many 3rd grade students are there at Min's school?
3rd grade students from Min's school split into 15-seater buses to go on a field trip. If 3 seats are empty in each bus, how many 3rd grade students are there at Min's school?
0
2
Noah’s bedroom light uses 6 watts per hour. His office light is much brighter so he can see to work and uses three times as much energy. The living room light has a much larger space to cover and has to be more powerful, so it uses four times as much energy as his bedroom light. If Noah leaves all those lights on for a certain amount of time, he has used 96 watts. How long did Noah leave the lights on?
Noah’s bedroom light uses 6 watts per hour. His office light is much brighter so he can see to work and uses three times as much energy. If Noah leaves all those lights on for a certain amount of time, he has used 96 watts. How long did Noah leave the lights on?
0
168
Apollo pulls the sun across the sky every night. Once a month, his fiery chariot’s wheels need to be replaced. He trades golden apples to three different blacksmiths to get them to make him new wheels. Hephaestus charged three golden apples for the first six months, but then raised his rates and demanded twice as many golden apples for the rest of the year. Athena, another blacksmith, charged five golden apples a month for the entire year. Lastly, Ares charged four golden apples per month for the first nine months, but then increased his rate to six golden apples for the last three months of the year. Calculate the total amount of golden apples Apollo has to pay for the entire year of chariot wheels to all three blacksmiths.
Apollo pulls the sun across the sky every night. Once a month, his fiery chariot’s wheels need to be replaced. He trades golden apples to three different blacksmiths to get them to make him new wheels. Hephaestus charged three golden apples for the first six months, but then raised his rates and demanded twice as many golden apples for the rest of the year. Athena, another blacksmith, charged five golden apples a month for the entire year. Lastly, Ares charged four golden apples per month for the first nine months, but then increased his rate to six golden apples for the last three months of the year. Calculate the total amount of golden apples Apollo has to pay for the entire year of chariot wheels to all three blacksmiths.
0
117
Nancy bought 540 baseball cards, Melanie bought 620, Mary bought 480, and Alyssa bought 720. These baseball cards come in packs, where one pack consists of 18.5 cards for Nancy, 22.5 for Melanie, 15.3 for Mary, and 24 for Alyssa. How many packs of baseball cards do they have in total?
Nancy bought some baseball cards, Melanie bought some, Mary bought some, and Alyssa bought some. These baseball cards come in packs. How many packs of baseball cards do they have in total?
0
14.25
Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at a certain rate. He mixed the two and sold the mixture. To make a 10% profit, he should sell the mixture at approximately Rs. 13.86 per kg. What was the rate of the second wheat purchase?
Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at a certain rate. He mixed the two and sold the mixture. To make a 10% profit, he should sell the mixture at approximately Rs. 13.86 per kg. What was the rate of the second wheat purchase?
0
100
An engineer undertakes a project to build a road 10 km long in 300 days and employs 30 men for the purpose. After a certain number of days, he finds only 2 km of the road has been completed. He must employ approximately 30 extra men to finish the work in time. How many days had passed when he realized the progress?
An engineer undertakes a project to build a road 10 km long in 300 days and employs 30 men for the purpose. After a certain number of days, he finds he must employ approximately 30 extra men to finish the work in time. How many days had passed when he realized the progress?
0
20
The charge for a single room at hotel P is 50 percent less than the charge for a single room at hotel R and some percent less than the charge for a single room at hotel G. The charge for a single room at hotel R is 60 percent greater than the charge for a single room at hotel G. What is the percentage by which the charge for a single room at hotel P is less than the charge for a single room at hotel G?
The charge for a single room at hotel P is 50 percent less than the charge for a single room at hotel R and some percent less than the charge for a single room at hotel G. What is the percentage by which the charge for a single room at hotel P is less than the charge for a single room at hotel G?
0
30
a train 1500 m long can cross an electric pole in 50 sec and then find the speed of the train ?
a train can cross an electric pole in 50 sec and then find the speed of the train?
0
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 there are four seats and all are attached, find the number of cases in which four people sit in a row.
0
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 shop carries 330 dogs and bunnies total in stock, how many dogs are there?
0
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. How many baseball cards did Mike have initially?
0
23.33\%
A man buys three articles: - Article A for $100, and sells it for $125, - Article B for $200, and sells it for $250, - Article C for $150, and sells it for $180. Calculate the overall gain percentage for all three items.
A man buys three articles: - Article A for $100, and sells it for $125, - Article B for $200, and sells it for $250, - Article C for $150, and sells it for $180. Calculate the overall gain percentage for all three items.
0
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. The second wing has 7 floors. The third wing has 12 floors. How many rooms are in the hotel total?
0
6
Hamza has several empty buckets of different sizes, holding either 3, 5, or a certain amount of liters. She fills the 5-liter bucket and pours as much as she can into the 3-liter bucket. Then, she pours the remainder into the largest bucket. She can put 4 more liters of water into the largest bucket without overflowing. What is the capacity of the largest bucket in liters?
Hamza has several empty buckets of different sizes, holding either 3, 5, or a certain amount of liters. She fills the 5-liter bucket and pours as much as she can into the 3-liter bucket. Then, she pours the remainder into the largest bucket. She can put 4 more liters of water into the largest bucket without overflowing. What is the capacity of the largest bucket in liters?
0
92
The average mark of the students of a class in a particular exam is 72. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be a certain number. There were 13 students who wrote the exam. What was the new average mark of the remaining students?
If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be a certain number. There were 13 students who wrote the exam. What was the new average mark of the remaining students?
0
48
Fred had 26 baseball cards and gave 18 to Mary. He then finds an unopened box of 40. How many cards does he have in all.
He then finds an unopened box of 40. How many cards does he have in all.
0
252
Melanie grew 139 turnips . Benny grew 113 turnips . How many turnips did they grow in all ?
Melanie grew some turnips. Benny grew some turnips. How many turnips did they grow in all?
0
8
what is the largest integral value of ' k ' for which the quadratic equation x 2 - 6 x + k = 0 will have two real and distinct roots ?
what is the largest integral value of'k'for which the quadratic equation x 2 - 6 x + k = 0?
0
8\%
A 64-gallon solution of salt and water is 10% salt. To decrease the salt to a certain percentage of the volume, 16 gallons of water must be added. What is the final percentage of salt in the solution?
A solution of salt and water is decreased to a certain percentage of the volume by adding 16 gallons of water. What is the final percentage of salt in the solution?
0
118558
There were originally 20817 houses in Lincoln County . During a housing boom , developers built 97741. There are _____ houses now in Lincoln County .
During a housing boom, developers built 97741. There are _____ houses now in Lincoln County.
0
2
A can do a piece of work in 4 hours; B and C together can do it in some hours, while A and C together can do it in 2 hours. B alone takes 4 hours to do the work. How long do B and C together take to do the work?
A can do a piece of work in 4 hours; B and C together can do it in some hours, while A and C together can do it in 2 hours. How long do B and C together take to do the work?
0
1634
Determine the cost of building a fence around an irregular-shaped plot with an area of 25 sq ft, taking into account the varying land elevation and different fencing material costs. The plot has four sides, and the length of each side is as follows: side A is 8 ft, side B is 5 ft, side C is 6 ft, and side D is 7 ft. The elevation at each corner of the plot is 120 ft, 130 ft, 140 ft, and 150 ft. Fencing material costs vary: material cost for side A is Rs. 58 per foot, for side B is Rs. 62 per foot, for side C is Rs. 64 per foot, and for side D is Rs. 68 per foot. Calculate the total cost to build the fence, taking into account the complex shape and varying materials and land elevation.
Determine the cost of building a fence around an irregular-shaped plot with an area of 25 sq ft, taking into account the varying land elevation and different fencing material costs. The elevation at each corner of the plot is 120 ft, 130 ft, 140 ft, and 150 ft. Fencing material costs vary: material cost for side A is Rs. 58 per foot, for side B is Rs. 62 per foot, for side C is Rs. 64 per foot, and for side D is Rs. 68 per foot. Calculate the total cost to build the fence, taking into account the complex shape and varying materials and land elevation.
0
60
Joan has 180 socks. Two thirds of the socks are white, and the rest of the socks are blue. How many blue socks does Joan have?
Two thirds of the socks are white, and the rest of the socks are blue. How many blue socks does Joan have?
0
\$16
A merchant purchased a jacket for $48 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 40 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant's gross profit on this sale?
A merchant determined a selling price that equalled the purchase price of the jacket plus a markup that was 40 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant's gross profit on this sale?
0
\$3470
Kamil wants to renovate his kitchen at home. For this purpose, he hired two professionals with different hourly rates. The first professional charges $15 per hour while the second charges $20 per hour. They work together for 6 hours a day for 7 days. In addition to their labor, Kamil needs to purchase materials that cost a total of $1,500. Halfway through the project, a plumbing issue arises that requires an extra $500 to resolve. Calculate the total cost of the renovation, including the labor of both professionals, the cost of materials, and the additional plumbing repair.
Kamil wants to renovate his kitchen at home. For this purpose, he hired two professionals with different hourly rates. The first professional charges $15 per hour while the second charges $20 per hour. In addition to their labor, Kamil needs to purchase materials that cost a total of $1,500. Halfway through the project, a plumbing issue arises that requires an extra $500 to resolve. Calculate the total cost of the renovation, including the labor of both professionals, the cost of materials, and the additional plumbing repair.
0
5.5
By how much does the larger root of the equation 2a^2 + 5a = 12 exceed the smaller root?
By how much does the larger root of the equation exceed the smaller root?
0
6
(228% of 1265) ÷ a certain number = 480.7. What is the certain number?
x% of 1265 ÷ a certain number = 480.7. What is the certain number?
0
15
carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 8 inches long , how wide is jordan ' s rectangle , in inches ?
carol and jordan draw rectangles of equal area. if jordan's rectangle is 8 inches long, how wide is jordan's rectangle, in inches?
0
8
The average speed of a car decreased by 3 miles per hour every successive interval. The car traveled 3.6 miles in the fifth interval. The average speed of the car, in miles per hour, in the first interval was 39. How long is each interval in minutes?
The average speed of a car decreased by 3 miles per hour every successive interval. The car traveled 3.6 miles in the fifth interval. How long is each interval in minutes?
0
\$686.88
The Razorback t-shirt Shop sells their t-shirts for $16 each. Last week, they sold 45 t-shirts. However, there was a 10% discount on every t-shirt sold, and a 6% sales tax applied after the discount. How much money did they make in total after applying the discount and sales tax?
The Razorback t-shirt Shop sells their t-shirts for $16 each. However, there was a 10% discount on every t-shirt sold, and a 6% sales tax applied after the discount. How much money did they make in total after applying the discount and sales tax?
0
7
Mary is baking a cake. The recipe calls for 9 cups of flour and 3 cups of sugar. She already put in 2 cups of flour. How many more cups of flour does she need to add ?
Mary is baking a cake. She already put in 2 cups of flour. How many more cups of flour does she need to add?
0
5
Some men are equal to as many women as are equal to 7 boys. All of them earn Rs. 90 only, and men's wages are Rs. 6. How many men are there?
Some men are equal to as many women as are equal to 7 boys. All of them earn Rs. 90 only, and men's wages are Rs. 6. How many men are there?
0
3
A woman bought a pack of 36 eggs, but the seller told her that there were some rotten eggs in the pack. She forgot it and begun to prepare a recipe that needs 2 eggs. The probability that both chosen eggs will be rotten is 0.0047619047619047615. How many rotten eggs were in the pack?
A woman bought a pack of 36 eggs, but the seller told her that there were some rotten eggs in the pack. She forgot it and begun to prepare a recipe that needs 2 eggs. How many rotten eggs were in the pack?