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0 | 35\% | If c is 14% of a and 40% of b, what percent of a is b? | If c is 14% of a and 40% of b, what percent of a is b? |
0 | 24 | Hank gave his wife, Delphine, a box of chocolates for Valentine's Day. On the first day, Delphine ate 4 chocolates. On the second day, she ate 3 less than twice as many chocolates as she ate the first day. On the third day, she ate two less than the number she ate on the first day. And on the fourth day, she ate one less than she ate the previous day. On the fifth day, 12 chocolates remained uneaten. How many chocolates were in the box initially? | Hank gave his wife, Delphine, a box of chocolates for Valentine's Day. On the first day, Delphine ate 4 chocolates. On the second day, she ate 3 less than twice as many chocolates as she ate the first day. On the third day, she ate two less than the number she ate on the first day. And on the fourth day, she ate one less than she ate the previous day. How many chocolates were in the box initially? |
0 | 50 | Carlo has a music recital next week. He practiced twice as long on Monday as on Tuesday. On Tuesday, he practiced 10 minutes less than on Wednesday. On Wednesday, he practiced 5 minutes more than on Thursday. He practiced for some time on Thursday and needs to practice for a total of 5 hours that week. He should practice for 60 minutes on Friday. How many minutes did Carlo practice on Thursday? | Carlo has a music recital next week. He practiced twice as long on Monday as on Tuesday. On Tuesday, he practiced 10 minutes less than on Wednesday. On Wednesday, he practiced 5 minutes more than on Thursday. He practiced for some time on Thursday and needs to practice for 60 minutes on Friday. How many minutes did Carlo practice on Thursday? |
0 | 26.2\% | Find the mass percentage of O in Benzoic acid | Find the mass percentage of O in C7H6O2 |
0 | 82.5 | How long does a train 165 meters long running at the rate of 36 kmph take to cross a bridge 660 meters in length? | How long does a train 165 meters long running at the rate of 36 kmph take to cross a bridge 660 meters in length? |
0 | 300 | One night, 15 percent of the female officers on a police force were on duty. If a certain number of officers were on duty that night and half of these were female officers, the police force had 1000 female officers. How many officers were on duty that night? | One night, half of the officers on duty were female officers, and the police force had 1000 female officers. How many officers were on duty that night? |
0 | 2.5 | How many halves are there in a certain number minus fourth? There are 4.5 halves in the result. What is the initial number? | How many halves are there in a certain number minus fourth? There are 4.5 halves in the result. What is the initial number? |
0 | 200 | Toby is making toast and adding peanut butter to it. He wants to make sure he has 500 calories for breakfast. A piece of bread has 100 calories. A serving of peanut butter has a certain amount of calories. If he has one piece of bread and adds 2 servings of peanut butter, how many calories does a serving of peanut butter have? | Toby is making toast and adding peanut butter to it. He wants to make sure he has 500 calories for breakfast. A serving of peanut butter has a certain amount of calories. If he has one piece of bread and adds 2 servings of peanut butter, how many calories does a serving of peanut butter have? |
0 | \$1440 | Cheryl is signing up for a golf tournament that costs 20% more than her monthly cell phone expenses to enter the tournament. If Cheryl spends $400 more on her monthly cell phone expenses than on the electricity bill, which costs $800, calculate the total amount she pays upon signing up for the golf tournament. | Cheryl is signing up for a golf tournament that costs 20% more than her monthly cell phone expenses to enter the tournament. If Cheryl calculates the total amount she pays upon signing up for the golf tournament. |
0 | 2 | In a theater, the first row has 14 seats and each row has a certain number of more seats than the previous row. The last row has 56 seats. The total number of seats in the theater is 770. How many more seats does each row have compared to the previous row? | In a theater, the first row has 14 seats and each row has a certain number of more seats than the previous row. The total number of seats in the theater is 770. How many more seats does each row have compared to the previous row? |
0 | \$73 | Gary had some money. He spent 55 dollars on a pet snake and now has 18 dollars left. How much money did Gary have initially? | Gary had some money. He now has 18 dollars left. |
0 | \$7 | During April, the baker sold 453 cakes at $12 and 126 pies at a certain price. The baker earned $6318. What was the price of each pie? | During April, the baker sold 453 cakes at $12 and 126 pies at a certain price. What was the price of each pie? |
0 | 45 | A train 160 metres long, travelling at a certain speed, can cross a bridge in 30 seconds. The length of the bridge is 215 metres. What is the speed of the train in km/hr? | A train 160 metres long, travelling at a certain speed, can cross a bridge in 30 seconds. The length of the bridge is 215 metres. What is the speed of the train in km/hr? |
0 | 10 | There are three goldfish and some platyfish in a fish tank. Each goldfish plays with ten red balls, while each platyfish plays with five white balls. There are a total of 80 balls in the fish tank. How many platyfish are there in the fish tank? | There are three goldfish and some platyfish in a fish tank. Each goldfish plays with ten red balls, while each platyfish plays with five white balls. How many platyfish are there in the fish tank? |
0 | 3 | m and n are the x and y coordinates , respectively , of a point in the coordinate plane . The points ( m , n ) and ( m + p , n + 18 ) both lie on the line defined by the equation x = ( y / 6 ) - ( 2 / 5 ). What is the value of p? | m and n are the x and y coordinates, respectively, of a point in the coordinate plane. The points ( m, n ) and ( m + p, n + 18 ) both lie on the line defined by the equation x = ( y / 6 ) - ( 2 / 5 ). What is the value of p? |
0 | 200 | apple costs l rupees per kilogram for the first 30 kgs, m rupees per kilogram for each additional kilogram between 31-60 kgs, and n rupees per kilogram for each additional kilogram above 60 kgs. If the price of 33 kilograms is 333, the price of 36 kilograms is 366, the price of 45 kilograms is 465, and the price of 50 kilograms is 525, then find the cost of the first 20 kgs of apples. | Apple costs l rupees per kilogram for the first 30 kgs, m rupees per kilogram for each additional kilogram between 31-60 kgs, and n rupees per kilogram for each additional kilogram above 60 kgs. If the price of 36 kilograms is 366, the price of 45 kilograms is 465, the price of 50 kilograms is 525, then find the cost of the first 20 kgs of apples. |
0 | 387 | In a school, there are 542.0 girls and some boys. There are 155 more girls compared to boys in that school. How many boys are there in the school? | In a school, there are 542.0 girls and some boys. How many boys are there in the school? |
0 | 20\% | A certain store sells computer accessories and equipment. Due to a fire outbreak in one of the factories, the price of RAM increased by 30%. After two years, the price stabilized and finally fell by a certain percentage from what it has risen. The current price of RAM is $52 if it was $50 before the fire. What was the percentage decrease in the price of RAM after it stabilized? | A certain store sells computer accessories and equipment. Due to a fire outbreak in one of the factories, the price of RAM increased by 30%. After two years, the price stabilized and finally fell by a certain percentage from what it has risen. The current price of RAM is $52 if it was $50 before the fire. What was the percentage decrease in the price of RAM after it stabilized? |
0 | 100 | Two trains from opposite directions are to cross each other. The length of the first train is unknown, but the second train is 200 meters long. The speed of the first train is 100 km/hour and the second train is 200 km/hour. They will cross each other in 3.6 seconds. What is the length of the first train? | Two trains from opposite directions are to cross each other. The length of the first train is unknown, but the speed of the first train is 100 km/hour and the second train is 200 km/hour. They will cross each other in 3.6 seconds. What is the length of the first train? |
0 | 10 | A father is 4 times as old as his son. In 20 years, he'll be twice as old. The father is currently 40 years old. How old is the son now? | A father is 4 times as old as his son. In 20 years, he'll be twice as old. How old is the son now? |
0 | \$8 | A lawn care company bought 4 lawnmower blades for a certain price each. They also bought a spool of weed eater string for $7. They spent $39 on supplies. How much did each lawnmower blade cost? | A lawn care company bought 4 lawnmower blades for a certain price each. They also bought a spool of weed eater string for $7. How much did each lawnmower blade cost? |
0 | 300 | A passenger train takes two hours less for a journey of a certain distance if its speed is increased by 5 kmph from its normal speed. The normal speed is 25 kmph. What is the distance of the journey? | A passenger train takes two hours less for a journey of a certain distance if its speed is increased by 5 kmph from its normal speed. What is the distance of the journey? |
0 | 1 | Find the number of moles of Ca(OH)2 formed on combining some moles of CaO and 1 mole of H2O, if the reaction produces 1 mole of Ca(OH)2. How many moles of CaO are combined? | Find the number of moles of Ca(OH)2 formed on combining some moles of CaO and 1 mole of H2O. How many moles of CaO are combined? |
0 | 64 | A jar contains a mixture of liquids A and B in the ratio 4 : 1. When 40 L of the mixture is replaced with liquid B, the ratio becomes 2 : 3. How many liters of liquid A was present in the mixture initially? | When 40 L of the mixture is replaced with liquid B, the ratio becomes 2 : 3. How many liters of liquid A was present in the mixture initially? |
0 | 100 | Tiffany is looking at a lake full of turtles. The turtles are 60% female and the rest are male. Of the males, 1 in 4 has stripes. Of the ones with stripes, 4 are babies, while 60% are adults. How many turtles are in the lake? | Tiffany is looking at a lake full of turtles. The turtles are 60% female and the rest are male. Of the ones with stripes, 4 are babies, while 60% are adults. How many turtles are in the lake? |
0 | 3 | Emily has 7 times as many oranges as Sandra. Sandra has some times as many oranges as Betty. If Betty has 12 oranges and Emily has 252 oranges, how many times more oranges does Sandra have than Betty? | Emily has 7 times as many oranges as Sandra. Sandra has some times as many oranges as Betty. If Emily has 252 oranges, how many times more oranges does Sandra have than Betty? |
0 | 7 | The average of thirteen numbers is 9. The average of the first 6 numbers is 5 and the average of the last 6 numbers is a certain value. The middle number is 45. What is the average of the last 6 numbers? | The average of thirteen numbers is 9. The average of the last 6 numbers is a certain value. The middle number is 45. What is the average of the last 6 numbers? |
0 | 50 | Two family reunions are happening at the Leela Hotel, the Oates reunion and the Hall reunion. All 100 guests at the hotel attend at least one of the reunions. Some people attend the Oates reunion, 62 people attend the Hall reunion, and 12 people attend both reunions. How many people attend the Oates reunion? | Two family reunions are happening at the Leela Hotel, the Oates reunion and the Hall reunion. Some people attend the Oates reunion, 62 people attend the Hall reunion, and 12 people attend both reunions. How many people attend the Oates reunion? |
0 | 29 | Connie has 96 markers in total, consisting of red, blue, and green colors. If 50% of the markers are red, 30% are blue, and the remainder are green, how many markers are blue? | Connie has 96 markers in total, consisting of red, blue, and green colors. If 50% of the markers are red and the remainder are green, how many markers are blue? |
0 | 47 | A waiter had some customers to wait on. If 41 customers left and he got another 20 customers, he would have 26 customers. How many customers did he have initially? | A waiter had some customers to wait on. How many customers did he have initially? |
0 | 2 | The arithmetic mean and standard deviation of a certain normal distribution are 14.0 and 1.5, respectively. The value that is exactly some standard deviations less than the mean is 11. How many standard deviations less than the mean is this value? | The arithmetic mean and standard deviation of a certain normal distribution are 14.0 and 1.5, respectively. How many standard deviations less than the mean is this value? |
0 | 8 | If you draw a line bisector of the vertex angle of an isosceles triangle, the length of the each divided base is 4 meters (m). How many meters (m) is the total length of the base? | If you draw a line bisector of the vertex angle of an isosceles triangle, how many meters (m) is the total length of the base? |
0 | 42 | Two diesel trains of length 120 m and 280 m are running towards each other on parallel lines at some speed and 30 kmph respectively. From the moment they meet, they will be clear of each other in 20 seconds. What is the speed of the first train in kmph? | Two diesel trains of length 120 m and 280 m are running towards each other on parallel lines at some speed and 30 kmph respectively. From the moment they meet, they will be clear of each other in 20 seconds. What is the speed of the first train in kmph? |
0 | 0.3 | A cricket team of 11 members has an average age of 24 years old, and the wicket keeper is 3 years older. If the ages of these 2 are excluded, the average age of the remaining players is a certain number of years less than the average age of the whole team. The average age of the team is 21 years old. How many years less is the average age of the remaining players compared to the whole team's average age? | A cricket team of 11 members has an average age of 24 years old, and the wicket keeper is 3 years older. If the ages of these 2 are excluded, the average age of the remaining players is a certain number of years less than the average age of the whole team. The wicket keeper is 3 years older. How many years less is the average age of the remaining players compared to the whole team's average age? |
0 | 100 | In a trip, the first 30 miles were completed at 60 mph. If the average speed for the whole trip was 40 mph, and the average speed in the last 70 miles was 35 mph, how long was the trip in miles? | In a trip, the first 30 miles were completed at 60 mph. If the average speed in the last 70 miles was 35 mph, how long was the trip in miles? |
0 | 13 | Mary and Mike are sharing a jar of paint. Mary paints a dragon using 3 square feet worth of paint. Mike paints a castle using 2 square feet more paint than Mary used on her dragon. They both then work together to paint the biggest sun possible, using 5 square feet of paint. How much paint was originally in the jar to cover how many square feet? | Mary and Mike are sharing a jar of paint. Mike paints a castle using 2 square feet more paint than Mary used on her dragon. They both then work together to paint the biggest sun possible, using 5 square feet of paint. How much paint was originally in the jar to cover how many square feet? |
0 | 50 | In a graduation ceremony, each graduate can bring their 2 parents. Twenty teachers and half as many administrators will also attend the graduation ceremony. A certain number of chairs must be prepared for the ceremony, and there are 180 chairs in total. How many graduates are there? | In a graduation ceremony, each graduate can bring their 2 parents. Twenty teachers and half as many administrators will also attend the graduation ceremony. A certain number of chairs must be prepared for the ceremony. How many graduates are there? |
0 | 97 | Anya washes 32 hairs down the drain when she washes her hair and brushes out half that amount when she brushes it. She has to grow back a certain number of hairs to always have a specific number of hairs more than she started with after washing, brushing, and growing it. She needs to grow back 49 hairs. How many more hairs does she want to have than she started with? | Anya washes 32 hairs down the drain when she washes her hair and brushes out half that amount when she brushes it. She has to grow back a certain number of hairs to always have a specific number of hairs more than she started with after washing, brushing, and growing it. She needs to grow back 49 hairs. How many more hairs does she want to have than she started with? |
0 | 54 | a circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 24 % home electronics ; 10 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ? | A circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 24 % home electronics ; 10 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics. if the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research? |
0 | 12 | Bianca was practicing for a marathon. To prepare she ran 8 miles the first day and 4 miles the next day. How many miles did Bianca run altogether? | Bianca was practicing for a marathon. To prepare she ran a certain number of miles the first day and a certain number of miles the next day. How many miles did Bianca run altogether? |
0 | 40 | If a person walks at 15 km/hr instead of 10 km/hr, he would have walked 20 km more. What is the actual distance traveled by him? | A person walks at 15 km/hr. What is the actual distance traveled by him? |
0 | 760 | Don and his wife each receive an 8 percent annual raise. If Don receives a raise of Rs. 800 and his wife receives a certain amount as a raise, the difference between their annual income after their raises is Rs. 540. How much raise did Don's wife receive? | Don and his wife each receive an 8 percent annual raise. If the difference between their annual income after their raises is Rs. 540, how much raise did Don's wife receive? |
0 | 20\% | Some of the 50% solution of acid was removed and this was replaced with an equal amount of a certain percentage solution of acid. As a result, a 35% solution of acid was obtained. The fraction of the original solution replaced was 0.5. What was the percentage of acid in the solution that replaced the original solution? | Some of the 50% solution of acid was removed and this was replaced with an equal amount of a certain percentage solution of acid. As a result, a 35% solution of acid was obtained. What was the percentage of acid in the solution that replaced the original solution? |
0 | 24 | a girl goes to her school from her house at a speed of 6 km / hr and returns at a speed of 4 km / hr . if she takes 10 hours in going and coming back , the distance between her school and house is | a girl goes to her school from her house at a speed of 6 km / hr and returns at a speed of 4 km / hr. if she takes 10 hours in going and coming back, the distance between her school and house is |
0 | 200 | In a market survey, some people preferred brand X and the rest preferred brand Y. The respondents indicated a preference for brand X over brand Y by a ratio of 4 to 1. A total of 250 people responded to the survey. How many people preferred brand X? | In a market survey, some people preferred brand X and the rest preferred brand Y. A total of 250 people responded to the survey. How many people preferred brand X? |
0 | 2:1 | A man is 25 years older than his son. In two years, his age will be a certain multiple of the age of his son. The present age of the son is 23 years old. What is the ratio of the man's age to his son's age in two years? | A man is 25 years older than his son. In two years, his age will be a certain multiple of the age of his son. What is the ratio of the man's age to his son's age in two years? |
0 | 3 | How many cuboids of length 5 m, width 4 m, and a certain height can be formed from a cuboid of 16 m length, 10 m width, and 12 m height if 32 such cuboids can be formed? What is the height of these cuboids? | How many cuboids of length 5 m, width 4 m, and a certain height can be formed from a cuboid of 16 m length, 10 m width, and 12 m height if 32 such cuboids can be formed? |
0 | 10 | Mrs. Hilt spent 25 cents on one caramel apple and 15 cents on one ice cream cone. How much more did the apple cost? | Mrs. Hilt spent 25 cents on one caramel apple and 15 cents on one ice cream cone. How much more did the apple cost? |
0 | 25 | The average of a set of 7 numbers is a certain value. If each number is multiplied by 5, the average of the new set of numbers is 125. What is the average of the original set of numbers? | The average of a set of 7 numbers is a certain value. If each number is multiplied by 5, the average of the new set of numbers is what value. What is the average of the original set of numbers? |
0 | 183 | Let x represent the number of carrots Jaylen has, y represent the number of cucumbers, z represent the number of bell peppers Jaylen has, and g represent the number of green beans Jaylen has.
According to the problem:
1) Jaylen has 5/3 times the number of carrots as he has cucumbers: x = 5/3y
2) Jaylen has twice as many bell peppers as Kristin, who has half the number of cucumbers Jaylen has: z = 2(0.5y)
3) Jaylen has 3 less than half as many green beans as Kristin, who has 1/4 the number of carrots Jaylen has: g = (0.5*(x/4)) - 3
If Kristin has 2 bell peppers and 20 green beans, find the total number of vegetables Jaylen has.
First, express Kristin's green beans in terms of Jaylen's vegetables: 20 = x/4
Then, substitute this relationship back into the equations and solve the system of equations to determine the values of x, y, z, and g. Finally, find the total number of vegetables Jaylen has by adding the values of x, y, z, and g. | Let x represent the number of carrots Jaylen has, y represent the number of cucumbers, z represent the number of bell peppers Jaylen has, and g represent the number of green beans Jaylen has.
According to the problem:
1) Jaylen has 5/3 times the number of carrots as he has cucumbers: x = 5/3y
2) Jaylen has twice as many bell peppers as Kristin, who has half the number of cucumbers Jaylen has: z = 2(0.5y)
3) If Kristin has 2 bell peppers and 20 green beans, find the total number of vegetables Jaylen has.
First, express Kristin's green beans in terms of Jaylen's vegetables: 20 = x/4
Then, substitute this relationship back into the equations and solve the system of equations to determine the values of x, y, z, and g. Finally, find the total |
0 | 62 | Find the number of terms in an arithmetic progression with the first term 2 and the last term being some number, given that the common difference is 2. The arithmetic progression has 31 terms. What is the last term? | Find the number of terms in an arithmetic progression with the first term 2 and the last term being some number, given that the common difference is 2. What is the last term? |
0 | 18 | Paul uses 1 can of frosting to frost a layer cake. He uses a half can of frosting for a single cake, or a single pan of brownies, or a dozen cupcakes. For Saturday, he needs to have 3 layer cakes, 6 dozen cupcakes, 12 single cakes and a certain number of pans of brownies ready and frosted for customer pick up. He will need 21 cans of frosting. How many pans of brownies does he need to have ready? | Paul uses 1 can of frosting to frost a layer cake. He uses a half can of frosting for a single cake, or a dozen cupcakes. For Saturday, he needs to have 3 layer cakes, 6 dozen cupcakes, 12 single cakes and a certain number of pans of brownies ready and frosted for customer pick up. He will need 21 cans of frosting. How many pans of brownies does he need to have ready? |
0 | 58.4 | The average weight of a class of 20 boys was calculated to be a certain value, and it was later found that one weight was misread as 56 kg instead of 60 kg. The correct average weight is 58.6 kgs. What was the initially calculated average weight? | The average weight of a class of 20 boys was calculated to be a certain value, and it was later found that one weight was misread as 56 kg instead of 60 kg. What was the initially calculated average weight? |
0 | 3 | Anne wandered for some hours at 2 miles per hour. As a result, Anne went 6 miles far. How many hours did Anne wander? | Anne wandered for some hours at 2 miles per hour. How many hours did Anne wander? |
0 | 94 | Nicky went to the DMV to complete several tasks. He spent 20 minutes waiting to take a number. After that, he had to wait for his various tasks to be completed. For his driver's license renewal, he had to wait double the time he spent waiting for the number plus 8 minutes. To update his vehicle registration, he needed to wait quadruple the time he spent waiting for the number plus 14 minutes. Finally, to ask a question about his driving record, Nicky had to wait triple the amount of time he spent waiting for the number minus 16 minutes. Calculate the total waiting time for each task and determine the longest waiting time. | Nicky went to the DMV to complete several tasks. He had to wait for his various tasks to be completed. For his driver's license renewal, he had to wait double the time he spent waiting for the number plus 8 minutes. To update his vehicle registration, he needed to wait quadruple the time he spent waiting for the number plus 14 minutes. Finally, to ask a question about his driving record, Nicky had to wait triple the amount of time he spent waiting for the number minus 16 minutes. Calculate the total waiting time for each task and determine the longest waiting time. |
0 | 16 | In the rectangular coordinate system, points (16, 0) and (-16, 0) both lie on circle C. What is the maximum possible value of the radius of C? | In the rectangular coordinate system, what is the maximum possible value of the radius of circle C? |
0 | 10.42 | A 375 metres long yard, 37 trees are planted at equal distances, one tree being at each end of the yard. What is the distance between 2 consecutive trees? | 37 trees are planted at equal distances, one tree being at each end of the yard. What is the distance between 2 consecutive trees? |
0 | 871 | Jack has a section filled with short story booklets. If each booklet has 13 pages and there are 67 booklets in the short story section, how many pages will Jack need to go through if he plans to read them all? | Jack has a section filled with short story booklets. If each booklet has 13 pages, how many pages will Jack need to go through if he plans to read them all? |
0 | 72000 | A, B, and C started a partnership business by investing some amount. A invested Rs. 27000, and C invested Rs. 81000. At the end of the year, the profits were distributed among them, and C's share of profit is 36000. The total profit is 80000. How much did B invest? | A, B, and C started a partnership business by investing some amount. A invested Rs. 27000, and C invested Rs. 81000. At the end of the year, the profits were distributed among them, and the total profit is 80000. How much did B invest? |
0 | 72 | A 100-meter long train crosses a man standing on the platform in 5 seconds. What is the speed of the train in km/h? | A 100-meter long train crosses in 5 seconds. What is the speed of the train in km/h? |
0 | 507 | The average of 55, 48, a certain number, 2, 684, and 42 is 223. What is the third number in the list? | What is the third number in the list 55, 48, a certain number, 2, 684, and 42? |
0 | 3 | A rectangular tiled patio is composed of 30 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 30 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout? | A rectangular tiled patio is composed of 30 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still be rectangular. How many rows are in the tile patio before the change in layout? |
0 | 8 | Find the sum of the largest and smallest divisors of 15 excluding 1 and itself. | Find the sum of the largest and smallest divisors of excluding 1 and itself. |
0 | \$45 | Kenny plans to mow lawns all summer, and then use the profits to buy video-games and books. He charges $15 per lawn. The video-games cost a certain amount each. The books are $5 each. At the end of the summer he has mowed 35 lawns. There are 5 video-games he really wants, and then he will use the rest for books. He can buy 60 books. How much does each video-game cost? | Kenny plans to mow lawns all summer, and then use the profits to buy video-games and books. The video-games cost a certain amount each. The books are $5 each. At the end of the summer he has mowed 35 lawns. There are 5 video-games he really wants, and then he will use the rest for books. He can buy 60 books. How much does each video-game cost? |
0 | 60 | James injured himself while exercising. This was not a light injury; he pulled his hamstring which hurt pretty bad for 3 days. Following his physiotherapist's advice, James understood that this type of injury actually requires at least 5 times as long to fully heal. He decided that he'd wait another 3 days beyond that before even thinking about light workouts.
When he does get back into it, his physiotherapist wants him to start off with light exercises only for 2 weeks. And only after that, if his body reacts well, he can get back to moderate intensity workouts for another week.
Finally, assuming no setbacks, his physiotherapist outlined that he would then need to wait 3 weeks after moving to moderate intensity to start lifting heavy again. How long would it take before James can get back to heavy lifting, considering his injury, rest period, light workout period, moderate workout length and the final wait period? | James injured himself while exercising. He pulled his hamstring which hurt pretty bad for 3 days. Following his physiotherapist's advice, James understood that he'd wait another 3 days beyond that before even thinking about light workouts.
When he does get back into it, his physiotherapist wants him to start off with light exercises only for 2 weeks. And only after that, if his body reacts well, he can get back to moderate intensity workouts for another week.
Finally, assuming no setbacks, his physiotherapist outlined that he would then need to wait 3 weeks after moving to moderate intensity to start lifting heavy again. How long would it take before James can get back to heavy lifting, considering his injury, rest period, light workout period, moderate workout length and the final wait period? |
0 | 18 | Find the area of a trapezium with one parallel side of 20 cm long, the other parallel side of a certain length, and the distance between them is 14 cm. The area of the trapezium is 266 square centimeters. What is the length of the second parallel side? | Find the area of a trapezium with one parallel side of 20 cm long, the other parallel side of a certain length, and the distance between them is 14 cm. What is the length of the second parallel side? |
0 | 3 | In a fort, there are 1200 soldiers. If each soldier consumes a certain amount of provisions per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. The number of soldiers joining the fort in that case is 528. How much provisions does each soldier consume per day initially? | In a fort, there are 1200 soldiers. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. The number of soldiers joining the fort in that case is 528. How much provisions does each soldier consume per day initially? |
0 | 144 | If p # q denotes the least common multiple of p and q, then p = ((12 # 16) # (18 # 24)) = ? What is the value of p? | If p # q denotes the least common multiple of p and q, then ((12 # 16) # (18 # 24)) =? |
0 | 350 | On the first day of her vacation, Louisa traveled 200 miles. On the second day, traveling at the same average speed, she traveled some miles. The 200-mile trip took 3 hours less than the second day's trip. Her average speed was 50 miles per hour. How many miles did Louisa travel on the second day? | On the first day of her vacation, Louisa traveled 200 miles. On the second day, traveling at the same average speed, she traveled some miles. The 200-mile trip took 3 hours less than the second day's trip. How many miles did Louisa travel on the second day? |
0 | 16000 | The income and expenditure of a person are in the ratio 5 : 4. If the person saves Rs. 3200, what is his income? | If the person saves Rs. 3200, what is his income? |
0 | 400 | Carla had some chickens on her chicken farm. However, 40% of the chicken died due to a certain disease. Carla bought ten times as many chickens as the number that died due to disease, and then she had 1840 chickens. How many chickens did Carla initially have on her farm? | Carla had some chickens on her chicken farm. Carla bought ten times as many chickens as the number that died, and then she had 1840 chickens. How many chickens did Carla initially have on her farm? |
0 | 30 | Pavan travelled for 15 hours. He covered the first half of the distance at a certain speed and the remaining half of the distance at 25 kmph. Pavan travelled a distance of 409.0909090909091 km. What was the speed at which Pavan covered the first half of the distance? | Pavan travelled for 15 hours. He covered the first half of the distance at a certain speed and the remaining half of the distance at 25 kmph. What was the speed at which Pavan covered the first half of the distance? |
0 | 1 | A man can row 6 kmph in still water. When the river is running at 3 kmph, it takes him a certain amount of time to row to a place and back. The total distance traveled by the man is 4.5 km. How long does it take him to row to the place and back? | A man can row 6 kmph in still water. When the river is running at 3 kmph, it takes him a certain amount of time to row to a place and back. |
0 | 3:4 | Wilson decides to go sledding on some nearby hills. On the 2 tall hills, he sleds down them 4 times each and on the 3 small hills, he sled down them a certain ratio as often as he sleds down the tall hills. He sled down the hills 14 times. What is the ratio of the number of times he sled down the small hills to the number of times he sled down the tall hills? | Wilson decides to go sledding on some nearby hills. On the 2 tall hills, he sleds down them 4 times each and on the 3 small hills, he sled down them a certain ratio as often as he sleds down the tall hills. What is the ratio of the number of times he sled down the small hills to the number of times he sled down the tall hills? |
0 | 26 | Janet had eighty-five paper clips on the desk when she woke up in the morning. She used some paper clips today, and before going to bed, she found there were 59 fewer paper clips. How many paper clips were left on the desk? | She used some paper clips today, and before going to bed, she found there were 59 fewer paper clips. How many paper clips were left on the desk? |
0 | 12\% | A trader has 1600 kg of sugar. He sells a part at 8% profit and the rest at a certain profit percentage. He gains 11% on the whole. The quantity sold at this profit percentage is 1200 kg. What is the profit percentage on the rest of the sugar? | A trader has 1600 kg of sugar. He sells a part at 8% profit and the rest at a certain profit percentage. He gains 11% on the whole. What is the profit percentage on the rest of the sugar? |
0 | 30 | a car traveling at a certain constant speed takes 20 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 36 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ? | a car traveling at a certain constant speed takes 20 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 36 kilometers per hour. at what speed, in kilometers per hour, is the car traveling? |
0 | 10 | Ajay and Vijay have some marbles with them. Ajay told Vijay, "If you give me 5 marbles, both of us will have an equal number of marbles." Vijay then told Ajay, "If you give me twice as many marbles, I will have a certain number of marbles more than you would." How many more marbles will Vijay have than Ajay in the second scenario? | Ajay and Vijay have some marbles with them. Vijay then told Ajay, "If you give me twice as many marbles, I will have a certain number of marbles more than you would." How many more marbles will Vijay have than Ajay in the second scenario? |
0 | 2175 | Jacob has been tasked with a project to write up an urban plan proposal that will be used to construct a new city. He uses Pittsburg city as a reference which has 2000 stores, 500 hospitals, 200 schools, and 20 police stations. If the new city should have half the number of stores, twice as many hospitals, 50 fewer schools, and 5 more police stations, what is the total number of buildings required for this project? | Jacob has been tasked with a project to write up an urban plan proposal that will be used to construct a new city. He uses a reference city which has half the number of stores, twice as many hospitals, 50 fewer schools, and 5 more police stations than the reference city. If the new city should have half the number of stores, twice as many hospitals, 50 fewer schools, and 5 more police stations, what is the total number of buildings required for this project? |
0 | 36 | A train running at a certain speed passes an electric pole in 14 seconds. The whole train passes a 370-meter long platform in approximately 51 seconds. What is the speed of the train in km/h? | A train running at a certain speed passes an electric pole in 14 seconds. What is the speed of the train in km/h? |
0 | \$50 | A book costs a certain amount. It must be marked at a price so that after deducting 5% from the list price, it may be sold at a profit of 25% on the cost price. The price must be $62.5. What is the cost price of the book? | A book costs a certain amount. It must be marked at a price so that after deducting 5% from the list price, it may be sold at a profit of 25% on the cost price. What is the cost price of the book? |
0 | 336 | A snooker tournament charges $45.00 for VIP seats and $20.00 for general admission (regular seats). On a certain night, a total of some tickets were sold, for a total cost of $7500. There were 276 fewer tickets sold that night for VIP seats than for general admission seats. How many tickets were sold in total? | A snooker tournament charges $45.00 for VIP seats and $20.00 for general admission (regular seats). On a certain night, a total of some tickets were sold, for a total cost of $7500. How many tickets were sold in total? |
0 | 38 | Annie wants to know how many children will go trick or treating in their village. In her village, there are 9 blocks with varying numbers of children. On every odd-numbered block, there are 7 children, while on every even-numbered block, there are 5 children. Additionally, only children between the ages of 5 and 12 participate in trick or treating, which accounts for 70% of the children living on these blocks. How many children will go trick or treating in Annie's village? | In Annie's village, on every odd-numbered block, there are 7 children, while on every even-numbered block, there are 5 children. Additionally, only children between the ages of 5 and 12 participate in trick or treating, which accounts for 70% of the children living on these blocks. How many children will go trick or treating in Annie's village? |
0 | 20 | For many years, the number of sharks in Pelican Bay has been twice the number of Pelicans in Shark Bite Cove. But today scientists say one-third of the Pelicans in Shark Bite Cove have moved to Pelican Bay. If there are still 60 sharks in Pelican Bay, how many Pelicans remain in Shark Bite Cove? | For many years, the number of sharks in Pelican Bay has been twice the number of Pelicans in Shark Bite Cove. But today scientists say one-third of the Pelicans in Shark Bite Cove have moved to Pelican Bay. If there are still 60 sharks in Pelican Bay, how many Pelicans remain in Shark Bite Cove? |
0 | 8000 | what sum of money put at c . i amounts in 2 years to rs . 8820 and in 3 years to rs . 9261 ? | what sum of money put at c. i amounts in 2 years to rs. 8820 and in 3 years to rs. 9261? |
0 | 7.5 | A contractor is engaged for 30 days on the condition that he receives Rs. 25 for each day he works and is fined a certain amount for each day he is absent. He gets Rs. 425 in all. He was absent for 10 days. How much is he fined for each day he is absent? | A contractor is engaged for 30 days on the condition that he receives Rs. 25 for each day he works and is fined a certain amount for each day he is absent. He was absent for 10 days. How much is he fined for each day he is absent? |
0 | 2 | Joan had 9 blue balloons, but Sally popped 5 of them. Jessica has a certain number of blue balloons. They have 6 blue balloons now. How many blue balloons does Jessica have? | Joan had 9 blue balloons, but Sally popped 5 of them. Jessica has a certain number of blue balloons.
information to be removed: They have 6 blue balloons now. |
0 | 77 | Our class got 54 books from the library. Then we got 23 more books from the library. our class get _____ books from the library. | Then we got 23 more books from the library. our class get _____ books from the library. |
0 | 8 | Raul had $87 to spare so he decided to go to the bookshop. He bought some comics, each of which cost $4. After buying the comics, Raul has $55 left. How many comics did Raul buy? | Raul decided to go to the bookshop. He bought some comics, each of which cost $4. After buying the comics, Raul has $55 left. How many comics did Raul buy? |
0 | 45 | For a fundraiser, Nellie needs to sell a certain number of rolls of gift wrap. So far, she has sold 1 roll to her grandmother, 10 rolls to her uncle, and 6 rolls to a neighbor. She needs to sell 28 more rolls to reach her goal. How many rolls of gift wrap does Nellie need to sell in total? | For a fundraiser, Nellie needs to sell a certain number of rolls of gift wrap. So far, she has sold 1 roll to her grandmother, 10 rolls to her uncle, and 6 rolls to a neighbor. How many rolls of gift wrap does Nellie need to sell in total? |
0 | \$20 | A gift shop sells bracelets at $15 each, a gold heart necklace at $10, and a personalized coffee mug at a certain price. Raine buys three bracelets, two gold heart necklaces, and one coffee mug for her friends. She gets back $15 change from a one hundred dollar bill. How much does each personalized coffee mug cost? | A gift shop sells bracelets at $15 each, a gold heart necklace at $10, and a personalized coffee mug at a certain price. Raine buys three bracelets, two gold heart necklaces, and one coffee mug for her friends. She gets back $15 change from a one hundred dollar bill. How much does each personalized coffee mug cost? |
0 | 8 | Amanda has two pieces of ribbon, one 8 inches long and the other of a certain length. To decorate an album, she cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. The greatest length, in inches, that she can make them is 8. What is the length of the second piece of ribbon? | Amanda has two pieces of ribbon, one 8 inches long and the other of a certain length. To decorate an album, she cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the length of the second piece of ribbon? |
0 | 11 | Terez has 44 cows on his farm. 50 percent of the cows are female, and 50 percent of the females are pregnant. How many pregnant female cows does Terez have? | Terez has 44 cows on his farm. 50 percent of the females are pregnant. How many pregnant female cows does Terez have? |
0 | 115 | There were 28 bales of hay in the barn initially. Tim stacked varying amounts of hay each day for a week (7 days) as follows:
Day 1: 10 bales
Day 2: 15 bales
Day 3: 8 bales
Day 4: 20 bales
Day 5: 12 bales
Day 6: 4 bales
Day 7: 18 bales
At the end of the week, what is the total number of bales of hay in the barn? | Tim stacked varying amounts of hay each day for a week (7 days) as follows:
Day 1: 10 bales
Day 2: 15 bales
Day 3: 8 bales
Day 4: 20 bales
Day 5: 12 bales
Day 6: 4 bales
Day 7: 18 bales
At the end of the week, what is the total number of bales of hay in the barn? |
0 | 9 | A 270 meters long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph. The length of the other train is 230.04 meters. How long does it take for the trains to cross each other in seconds? | A 270 meters long train running at the speed of 120 kmph crosses another train running at the speed of 80 kmph. The length of the other train is 230.04 meters. How long does it take for the trains to cross each other in seconds? |
0 | 6 | Jake has 18 fewer peaches than Steven, who has 13 more peaches than Jill. Steven has 19 peaches. Sam has twice as many peaches as Jill. How many peaches does Jill have? | Jake has 18 fewer peaches than Steven, who has 13 more peaches than Jill. Sam has twice as many peaches as Jill. How many peaches does Jill have? |
0 | 783 | Sara had 100 pennies and some quarters in her bank. Her dad borrowed 271 quarters from Sara. Now, she has 512 quarters. How many quarters did Sara have initially? | Sara had 100 pennies and some quarters in her bank. Her dad borrowed 271 quarters from Sara. Now, she has 512 quarters. How many quarters did Sara have initially? |
0 | 45 | The weights of 3 bags are in the ratio 4 : 5 : 6. The sum of the weights of the heaviest and the lightest bag is more than the weight of the third bag by a certain amount. The weight of the lightest bag is 36 kg. How much more is the sum of the weights of the heaviest and the lightest bag than the weight of the third bag? | The weights of 3 bags are in the ratio 4 : 5 : 6. The sum of the weights of the heaviest and the lightest bag is more than the weight of the third bag by a certain amount. How much more is the sum of the weights of the heaviest and the lightest bag than the weight of the third bag? |
0 | 60 | A certain weight of a metal bar made of alloy of tin and silver lost 6 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. The ratio of tin to silver in the bar is 0.6666666666666665. What is the weight of the metal bar? | A certain weight of a metal bar made of alloy of tin and silver lost 6 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. The weight of the metal bar? |
0 | 490 | A train of certain length, running with a speed of 63 km/hr, will pass a tree in 28 seconds. What is the length of the train? | A train of certain length, running with a speed of 63 km/hr, will pass a tree in 28 seconds. What is the length of the train? |
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