Datasets:
Rimyy
/
DataForTest

Dataset card Data Studio Files
xet
Community
2
question
stringlengths
22
1.15k
Bob wants to build a pyramid out of legos with varying height levels. The bottom level is a square with 10 legos per side, the second level is a rectangle with 8 legos on one side and 6 legos on the other, and the third level is a triangle with 4 legos per side. The fourth level is just a single lego on top. How many legos total will he need for this unique pyramid structure?
A store gives a 10% discount for the amount of the sell that was over $1000. John buys 7 items that each cost $200. What does his order cost after the discount?
The average temperature for Tuesday, Wednesday, and Thursday was 32 °C. The average temperature for Wednesday, Thursday, and Friday was some degrees. The temperature on Friday was 44 °C. The temperature on Tuesday was 38 °C. What was the average temperature for Wednesday, Thursday, and Friday?
A bag marked at $80 is sold at a certain price with a discount rate of 15%. What is the selling price of the bag?
Person A takes 10 hours to figure out a solution to a complex math problem. Person B is 75% as efficient as Person A, and Person C is only 50% as efficient as Person A. If they work together, how long will it take for them to solve the same problem? Furthermore, if a distraction factor is introduced, reducing each person's efficiency by 10%, how long will it now take them to collectively solve the problem?
Donovan Mitchell is currently averaging 26 points per game. His team has played 15 games this season. He has a goal of averaging 30 points per game for the entire 20 game season. However, based on his recent playing time, the coach announces that Donovan's minutes per game will be reduced by 20% in the remaining games. Furthermore, Donovan's teammate, Jordan Clarkson, has been on fire lately, and it's projected that he will score at least 5 points more per game going forward, directly reducing Donovan's scoring opportunities. Taking both constraints into consideration, how many points does Donovan Mitchell need to average per game to reach his goal of 30 points per game for the season?
How many shots of 1 cm radius can be prepared from a sphere of a certain radius? There are 8 shots in total.
A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $90 to incur a loss of 20%?
Denise has 210 crayons and 3 blocks. If she shares the crayons among 30 friends, how many crayons does each friend get?
If a certain fraction of one-fourth of a number is 15, and 3-tenths of that number is 54, what is the fraction?
In the first 10 overs of a cricket game, the run rate was only 6.2. To reach the target of 282 runs, what should be the run rate in the remaining overs if there are a total of 50 overs in the game?
The speed of a boat in still water is unknown. It can travel downstream through 48 kms in 3 hrs. It takes 6 hours to cover the same distance upstream. What is the speed of the boat in still water?
Martha's cat catches 3 rats and 7 birds. Cara's cat catches a certain number of animals, which is related to the number of animals Martha's cat catches. If Cara's cat catches five times as many animals as Martha's cat, how many fewer animals would Cara's cat have caught?
A car travels at a certain speed. It travels 375 miles in 5 hours. What is the speed of the car in miles per hour?
10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
The tallest of 3 trees is 108 feet. The middle-sized tree is 6 feet less than half the height of the tallest tree. The smallest tree is 1/4 the height of the middle tree. How tall is the smallest tree?
In a 120 meters race, A beats B by 72 meters or 10 seconds. A's time over the course is:
Tony has a piece of quilt that is 6 feet by 24 feet. He decided to cut the quilt into two equal rectangular pieces and sew them together to create a square quilt using all the fabric. Moreover, he wants the length of the shorter side of each rectangle to be a whole number. What are the dimensions of the two rectangles, and how long is each side of the square quilt?
a, b, c, d, and e are 5 consecutive points on a straight line. If bc = 2 cd, de has a certain length, ab = 5, and ac = 11, the length of ae is 22. What is the length of de?
At Penny's bakery, her famous blueberry cheesecakes are $7 a slice. Each cheesecake pie is cut into a certain number of thick slices. If she sells 7 cheesecake pies and makes $294, how many slices are in each cheesecake pie?
If the least common multiple of two prime numbers x and y is 10, where x > y, what is the value of 2x + y?
Lucy has an aquarium with 212 fish. She wants to buy 68 more fish. Lucy would have _____ fishes then.
The ages of Patrick, Michael, and Sarah are in the ratio of 3 : 5 : 8, and the ages of Michael, Monica, and Sarah are in the ratio of 3 : 5 : 6. If the sum of their ages is 375, what is the difference between the ages of Patrick and Monica, and between Monica and Sarah?
Felicia is baking a cake. She needs 2 1/4 cups of flour, 1 1/8 cups of white sugar, 1/4 cup of brown sugar, 1/2 cup of oil, 1/3 cup of milk, and 3/8 cup of cocoa powder. Her only measuring scoop is broken, and she knows it holds more than 1/4 cup but less than 1/2 cup. She fills the scoop repeatedly and estimates the capacity by keeping track of how many times she fills each ingredient. How many times does Felicia have to fill her broken scoop for each ingredient in order to complete the measurements?
A candidate who gets 40% of the marks fails by 40 marks. Another candidate who gets 60% marks gets 20 marks more than necessary for passing. Find the number of marks for passing.
James won a money prize at a charity raffle. He donated half of his winnings back to the charity, then spent some money on a hot dog to celebrate his win. He had $55 left over and won $114. How much did he spend on the hot dog?
The bakery has 8 indoor tables and 12 outdoor tables. Each indoor table has 3 chairs and each outdoor table has 3 chairs. How many chairs are there in total?
If one integer is added to another and it equals some number, and if the smallest is subtracted from the largest and it equals 1, then the integers are -5 and -4. What is the sum of the two integers?
There is a fruit display that has apples, oranges, and bananas. There are twice as many apples as oranges, and there are twice as many oranges as bananas. How many bananas are on the display if there are 35 fruits on the display in total?
Miss Walter has 50 gold stickers. She also has twice as many silver stickers as gold stickers, and 20 fewer bronze stickers than silver stickers. She wants to give the same number of stickers to a certain number of students, and each student will receive 46 stickers. How many students will receive stickers?
A family of 12 monkeys collected some piles of bananas. 6 piles had 9 hands, with each hand having 14 bananas, while the remaining piles had 12 hands, with each hand having 9 bananas. If they divide the bananas equally amongst themselves, each monkey would get 99 bananas. How many piles of bananas did they collect?
A cycle is bought for some amount and sold for Rs. 1100, resulting in a gain of 22.22222222222222%. What was the original price of the cycle?
When 1 mole of NaOH reacts with 1 mole of NH4Cl to form 1 mole of NH3 and 1 mole of H2O, how many moles of NaCl are formed?
Three numbers have a sum of 98. The first and second numbers have a ratio of 2 : 3, and the second number is 30. What is the ratio between the second and third number?
Of the families in city x in 1904, 50 percent owned a personal computer. The number of families in city x owning a computer in 1908 was a certain percentage greater than it was in 1904, and the total number of families in city x was 5 percent greater in 1908 than it was in 1904. In 1908, 61.904761904761905 percent of the families in city x owned a personal computer. By what percent was the number of families owning a computer in 1908 greater than in 1904?
Gabrielle sells eggs. On Monday, she sells 5 crates of eggs. On Tuesday, she sells 2 times as many crates of eggs as on Monday. On Wednesday, she sells 2 fewer crates than on Tuesday. On Thursday, she sells half as many crates of eggs as she sells on Tuesday. From Friday to Sunday, Gabrielle sells an additional 15% of the total crates sold from Monday to Thursday. How many total crates of eggs does she sell for the entire week?
What is the molecular weight of 6 moles of BaF2
Jake had an average of 75 marks in four tests. He scored 80 marks in the first test, and an equal number of marks in the third and fourth test. He scored 65 marks in the third test. How many more marks did he score in the second test compared to the first test?
An employment agency specializing in temporary construction help pays heavy equipment operators 140 dollars per day and general laborers 90 dollars per day. A certain number of people were hired and the payroll was 3950 dollars, and 19 laborers were employed. How many people were hired in total?
The sum of 3 consecutive even numbers is 246. What is the second number in the sequence?
John wants to buy a $100 trouser at the store, but he thinks it's too expensive. Finally, it goes on sale with a 90% decrease. What is the sale price of the trouser?
George is about to celebrate his 25th birthday. Since his 15th birthday, he's been given a special $1 bill from his parents. They told him that on his 25th birthday, for every bill he still has, they will give him $1.5 in exchange. He spent 20% of his special bills. How much will he receive from his parents when he exchanges them?
John can read some books a day. He reads every Monday and Tuesday. In 6 weeks, he reads 48 books. How many books can John read in a day?
For what value of k will the two equations 2 x + 4 = 4 ( x - 2 ) and some equation = 2 x - 1 have the same solution if the solution is when k=17?
because he ’ s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 30 % on hers . if mindy earned 4 times as much as mork did , what was their combined tax rate ?
On dividing a number by 357, we get some remainder. On dividing the same number by 17, the remainder is 2. What is the remainder when the number is divided by 357?
Damien collects glasses for a hobby and decides he wants to put them in display cupboards. His tall cupboard can hold 20 glasses, his wide cupboard can hold twice as many, and his narrow cupboard can hold a certain number of glasses with the glasses divided equally among the three shelves. As Damien is putting glasses in the narrow cupboard, he accidentally breaks one of the shelves. If all of the cupboards are full, how many glasses are currently being displayed in the narrow cupboard?
A and B are two-digit numbers. A is 8 less than 23. The number that is 7 greater than B is 18. Find the value of A-B.
Greg is riding his bike around town and notices that each block he rides, his wheels rotate 200 times. He's now on a trail and wants to make sure he rides at least 8 blocks. His wheels have already rotated 600 times. How many more times do his wheels need to rotate to reach his goal?
Bob and Johnny have a leaf raking business. They charge $4 for each bag of leaves they rake. On Monday they raked 5 bags of leaves, on Tuesday they raked 3 bags of leaves, and on Wednesday they raked a certain number of bags. How much money did they make in total for all three days?
A man loves to go hiking. He knows that he has to pack about .5 pounds of supplies for every mile he hikes. He plans to go for a very long hike. He knows that he can get 1 resupply during the hike that will be 25% as large as his first pack. He can hike at a rate of 2.5 mph. He is going to hike 8 hours a day for 5 days. How much does he need to bring with his first pack?
To get clean, Michael takes a bath twice a week and a shower once a week. How many total times does he clean himself in a certain number of weeks, if he cleans himself 156 times in that period?
A bathing suit manufacturer has a supply of 14797 bathing suits for men . In addition , it has 4969 bathing suits for women. _____ bathing suits are available overall .
After the cleaning the rivers they went on to tidy up the farmlands. If Lizzie's group covered 250 square feet of land and the other group covered 265, how many more square feet of land remains to be cleaned if there is total of 900 square feet of land?
Two trains of length 100 meters and 200 meters are 450 meters apart. They are moving towards each other on parallel tracks, at speeds of 90 km/h and 72 km/h. After how many seconds will the trains meet?
wink , inc . follows a certain procedure that requires two tasks to be finished independently in order for a job to be done . on any given day , there is a 3 / 8 probability that task 1 will be completed on time , and a 3 / 5 probability that task 2 will be completed on time . on a certain day , what is the probability that task 1 will be completed on time , but task 2 will not ?
If 5 machines can produce 20 units in 10 hours, how long would it take 10 machines to produce 60 units?
Wendy spent 25.5 years as an accountant, 15 years and 6 months as an accounting manager, 10 years and 3 months as a financial consultant, and 4 years as a tax advisor. If Wendy lived to be 80 years old, what percentage of her life did she spend in accounting-related jobs and financial services?
A tennis tournament has some rounds. There are 8 games in the first round, 4 in the second round, 2 in the third round, and 1 during the finals. If each game requires new tennis balls, and on average each game uses 5 cans of tennis balls, a total of 225 tennis balls are used at the end of the tournament, with each can having 3 tennis balls. How many rounds are there in the tournament?
Two diagonals of a rhombus are 72 cm and 30 cm respectively. What is its perimeter?
Abigail painted all the outer faces of some identical 2x3x4 cuboids. If he painted a total of 60 faces, and each cuboid shares two faces with another cuboid, how many cuboids did he paint?
A horse chases a pony 3 hours after the pony runs. The horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what is the average speed of the pony?
A cube has one edge 8 centimeters (cm) long. Find the surface area of this cube.
Cody had 45 dollars. For his birthday, he got 9 more dollars. He spent 19 dollars on a new game, and the store had a 10% off discount on games which he also applied. After purchasing the game, he found out that his friend owed him another 12 dollars. How much money does Cody have now?
A large cube has all its faces painted with red, blue, and green colors in a certain pattern. The cube is then cut into 125 smaller equal cubes. Determine the number of small cubes with the following combinations of colored faces: 1. No faces colored 2. One face colored (and specify the color: red, blue, or green) 3. Two faces colored (and specify the colors: red & blue, red & green, or blue & green) 4. All three faces colored (red, blue, and green) Note: Assume that the large cube's dimensions are such that the small cubes will have whole number dimensions when cut.
A rower can row 7 km/h in still water. When the river is running at 1 km/h, it takes the rower 1 hour to row to Big Rock and back. How many kilometers is it to Big Rock?
Josh had 9 marbles in his collection. He lost some marbles and now has a certain number of marbles left. If he lost 5 marbles, how many marbles does he have now?
Andrew, Annie's other friend, was assigned with the preparation of appetizers. He decided to bring 30 hotdogs on sticks, 20 pieces of bite-sized cheese pops and some pieces of chicken nuggets. Andrew brought 90 portions of appetizers in all. How many pieces of chicken nuggets did Andrew bring?
There is a square with sides of 12 units. In this square, a circle is inscribed such that its circumference touches the midpoint of each side of the square. Calculate the area of the shaded region formed between the circle and the square.
a driver goes on a trip of 50 kilometers , the first 25 kilometers at 60 kilometers per hour and the remaining distance at 30 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ?
A certain kind of wild mushroom has either spots or gills, but never both. Gilled mushrooms are rare, with only one growing for every nine spotted mushrooms that grow. A fallen log had 30 mushrooms growing on its side. How many gilled mushrooms were on the fallen log’s side?
Amy baked fifty cupcakes for her school's bake sale. If her brother, Todd, ate five of them, how many packages could she make if she put five cupcake in each package?
A can run 4 times as fast as B and gives B a start of 66 meters. How long should the race course be so that A and B might reach in the same time?
Juvy has a garden that is divided into 60 equally spaced rows with 18 plants in each row. She plants parsley in 3/5 of the rows, rosemary in 1/4 of the rows, mint in 1/6 of the remaining rows, thyme in 7/12 of the remaining rows after mint, and basil in 2/3 of the remaining rows after thyme. The rest of the rows will be planted with chives. How many chives will Juvy plant?
A container holds 15 litres of mixture that contains 25% alcohol and the rest water. If 2 litres of alcohol are removed from this mixture, and then 3 litres of water are added, what is the percentage of alcohol in the final mixture?
At the beginning, 128 children were riding on the bus. At the first bus stop, 67 more children got on the bus. At the second bus stop, 34 children got off the bus and at the third bus stop, 54 more children got on the bus. How many children are on the bus now?
a man is 24 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is
Sam, Dan, Tom, and Keith each have 14 Pokemon cards. How many Pokemon cards do they have in all?
Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
John decided to buy 10 pins for himself. They are normally $20 each but they were on sale for a certain discount. He spent $170 on pins. What was the percentage discount on the pins?
Papi Calot prepared his garden to plant potatoes. He planned to plant 7 rows of a certain number of plants each. But he still has a bit of room left, so he’s thinking about adding 15 additional potato plants. Papi Calot has to buy 141 plants. How many plants does he plan to plant in each row initially?
A movie theater has 6 screens which show movies with breaks between each screening. The theater has variable open hours for each screen. Screen 1 is open for 10 hours, showing 3 movies with lengths of 1.5 hours, 2.5 hours, and 3.5 hours respectively, and a 30-minute break between each movie. Screen 2 is open for 11 hours, showing 4 movies with lengths of 1.5 hours, 2 hours, 2.5 hours, and 3.5 hours respectively, and a 45-minute break between each movie. Screen 3 is open for 12 hours, showing 2 movies with lengths of 4.5 hours and 3.5 hours respectively, and a 1-hour break between the movies. Screen 4 is open for 9 hours, showing 3 movies with lengths of 1 hour, 2.5 hours, and 3 hours respectively, and a 30-minute break between each movie. Screen 5 is open for 8 hours, showing 5 movies with lengths of 1 hour, 1.5 hours, 1.5 hours, 2 hours, and 2 hours respectively, and a 15-minute break between each movie. Screen 6 is open for 12 hours, showing 2 movies with lengths of 5 hours and 4 hours respectively, and a 1-hour break between the movies. Given the above schedule, how many movies are shown in total throughout the day at the theater?
If Katherine has 4 apples and 3 times as many pears as apples in her fridge, how many bananas does she have if for every banana there are 2 grapes and the total amount of fruit is 57?
A shopkeeper raises the price by 31% and gives successive discounts. The first discount is some percentage, and the second discount is 15%. The overall percentage gain is 0.2150000000000034%. What was the first discount percentage?
Bill is hoarding toilet paper in fear of another pandemic. He lives with his wife and two kids. Their bathroom usage patterns vary depending on the day of the week. On weekdays, Bill goes to the bathroom three times a day and uses 5 squares of toilet paper each time, his wife goes to the bathroom four times a day and uses 8 squares each time, and each of his two kids goes to the bathroom five times a day and uses 6 squares each time. On weekends, Bill goes to the bathroom four times a day and uses 6 squares each time, his wife goes to the bathroom five times a day and uses 10 squares each time, and each of his two kids goes to the bathroom six times a day and uses 5 squares each time. If Bill has 1000 rolls of toilet paper and each roll has 300 squares of toilet paper, how many days will his toilet paper supply last for the entire family with the fluctuating bathroom usage patterns based on weekdays and weekends?
Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/14 of the people in the room are over the age of 65. The total number of people in the room is greater than 50 and less than a certain number. There are 42 people in the room under the age of 21. What is the upper limit of the total number of people in the room?
sanoop bought 8 t - shirts at an average price ( arithmetic mean ) of rs . 526 . if sanoop returned 1 t - shirts to the retailer , and the average price of the remaining t - shirts was rs . 505 , then what is the average price , of the 3 returned t - shirts ?
Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses a fraction of all the paint. During the second week, he uses 1/5 of the remaining paint. Joe has used 104 gallons of paint. What fraction of the paint did he use during the first week?
Frank had $16. After buying some new toys he had $8 left. How much did he spend on toys?
Austin has 10 pairs of dress shoes he needs to polish over the weekend. If he has polished 45% of individual shoes, how many more shoes does he need to polish?
The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will it cover in 5 revolutions? (use π = 22 ⁄ 7)
A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs. 40.00001. What is the reduced price per dozen?
Baker made 62 cakes. Then he made some more cakes. He sold 144 of them. Baker still has 67 cakes. How many more cakes did he make?
A train crosses a platform of 180 m in 15 sec. The same train crosses another platform of length 250 m in 20 sec. What is the length of the train?
Five food companies sponsored a local food bank. Foster Farms donated 45 dressed chickens; American Summits donated twice the number of bottled water than the number of dressed chicken donated by Foster Farms; Hormel donated three times the number of dressed chickens that Foster Farms donated; Boudin Butchers donated one-third of the number of dressed chickens that Hormel donated; Del Monte Foods donated some bottles of water. The companies donated a total of 375 food items. How many more bottles of water did American Summits donate compared to Del Monte Foods?
When positive integer n is divided by a certain number, the remainder is 3. The remainder when n is divided by 6 is also 3. What is the divisor in the first division?
A shopping center sells T-shirts at $8 each, a sweater at $18, and a jacket at $80. The jacket is on sale with a 10% discount. The sales tax is 5%. Kevin wants to buy a certain number of T-shirts, four sweaters, and five jackets for his children. He has to pay $504 for all the items, including the sales tax. How many T-shirts does Kevin want to buy?
Tom, Tim, Tara, Tina, and Tony brought various polyhedral dice and geometrical shapes to school. Tom brought 4, six-sided dice; Tim brought 5, eight-sided dice; Tara brought 3, twelve-sided dice, Tina brought 2, twenty-sided dice, and Tony brought 1 cube, 3 tetrahedrons, and 2 icosahedrons. How many total faces are there on all of the dice and geometrical shapes combined?
Dan has 29 violet balloons. Tim has 7 times more violet balloons than Dan. How many violet balloons does Tim have?
In a certain school, the ratio of boys to girls is some number to 13. If there are 64 more girls than boys, and there are 40 boys, what is the ratio of boys to girls?