Problem stringlengths 5 967 | category class label 6
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the amount of time that three people worked on a special project was in the ratio of 4 to 3 to 5 . if the project took 120 hours , how many more hours did the hardest working person work than the person who worked the least ? | 1physics |
a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 11 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? | 3geometry |
a call center has two teams . each member of team a was able to process 3 / 5 calls as compared to each member of team b . if team a has 5 / 8 as many number of call center agents as team b , what fraction of the total calls was processed by team b ? | 0general |
jill invests $ 10000 in an account that pays an annual rate of 3.96 % , compounding semi - annually . approximately how much r does she have in her account after two years ? | 2gain |
cindy has her eye on a sundress but thinks it is too expensive . it goes on sale for 15 % less than the original price . before cindy can buy the dress , however , the store raises the new price by 25 % . if the dress cost $ 71.4 after it went on sale for 15 % off , what is the difference between the original price and the final price ? | 0general |
if ( n + 2 ) ! / n ! = 110 , n = ? | 0general |
( 1 / 5 ) ^ e * ( 1 / 4 ) ^ 18 = 1 / ( 2 ( 10 ) ^ 35 ) . what is e ? | 0general |
i bought two books ; for rs . 360 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ? | 2gain |
if n is a natural number , then ( 6 n 2 + 6 n ) is always divisible by : | 0general |
| 13 - 3 | - | 4 - 10 | = ? | 0general |
a fill pipe can fill 1 / 6 of cistern in 90 minutes in how many minutes , it can fill 5 / 6 of the cistern ? | 1physics |
increasing the original price of an article by 6 percent and then increasing the new price by 6 percent is equivalent to increasing the original price by | 2gain |
the monthly salaries of 6 employees in a company are $ 1000 , $ 2500 , $ 3100 , $ 3650 , $ 1500 , $ 2000 . what is the mean of the salaries of 6 employees . | 0general |
ravi and sunil are partners in a business . ravi invests rs . 18,000 for 8 months and sunil invested rs . 10000 for 10 months then after one year ratio of their profits will be | 2gain |
if | x | = 5 x - 3 , then x = ? | 0general |
the area of a square is 4489 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square . | 3geometry |
a certain lab experiments with white and brown mice only . in one experiment , 2 / 3 of the mice are white . if there are 12 brown mice in the experiment , how many mice in total are in the experiment ? | 0general |
a rectangular cube has sides measuring 3 inches long by 2 inches wide by 0.5 inches high . if the surface area of the rectangle is the same as a cube , what do the sides / walls of the cube measure ? round to the nearest whole number . | 3geometry |
company c produces toy trucks at a cost of $ 5.00 each for the first 100 trucks and $ 3.50 for each additional truck . if 500 toy trucks were produced by company c and sold for $ 7.00 each , what was company c β s gross profit ? | 2gain |
a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 100 $ for the meal . assuming that they will pay 7 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ? | 0general |
a garrison of 2000 men has provisions for 54 days . at the end of 21 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ? | 1physics |
a person buys an article at $ 200 . at what price should he sell the article so as to make a profit of 10 % ? | 2gain |
200 liters of a mixture contains milk and water in the ratio 4 : 1 . if 20 liters of this mixture be replaced by 20 liters of milk , the ratio of milk to water in the new mixture would be ? | 5other |
if the speed of a man is 66 km per hour , then what is the distance traveled by him in 30 seconds ? | 1physics |
when positive integer x is divided by positive integer y , the remainder is 6 . if x / y = 6.12 , what is the value of y ? | 0general |
two identical trains aa and bb running in opposite direction at same speed tale 2 min to cross each other completely . the number of bogies of aa are increased from 12 to 16 . how much more time would they now require to cross each other ? | 0general |
express 5 mps in kmph ? | 1physics |
a person starting with rs . 64 and making 6 bets , wins 3 times and loses 3 times , the wins and loses occurring in random order . the chance for a win is equal to the chance for a loss . if each wager is for 1 / 2 the money remaining at the time of the bet , then the final result is ? | 0general |
a boat can travel with a speed of 25 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 90 km downstream . | 1physics |
how many ounces of a 60 % salt solution must be added to 60 ounces of a 20 percent salt solution so that the resulting mixture is 40 % salt ? | 2gain |
in a college , 50 % of total 400 arts students are locals . 25 % of students from 100 science students are locals and 85 % of total 120 commerce students are locals . what is the total percentage of locals from arts , science and commerce . | 2gain |
12 : 6 seconds : : ? : 8 minutes | 1physics |
a canoe has two oars , left and right . each oar either works or breaks . the failure or non - failure of each oar is independent of the failure or non - failure of the other . you can still row the canoe with one oar . the probability that the left oar works is 3 / 5 . the probability that the right oar works is also 3 / 5 . what is the probability y that you can still row the canoe ? | 0general |
if jake loses 15 pounds , he will weigh twice as much as his sister . together they now weigh 132 pounds . what is jake β s present weight , in pounds ? | 0general |
a and b complete a work in 7 days . a alone can do it in 14 days . if both together can do the work in how many days ? | 1physics |
a car traveled the first quarter of a certain distance at 4 times the speed it traveled the remaining distance . what proportion of the total time traveled , was the time taken to travel the first quarter of the distance ? | 1physics |
one fourth of one third of two fifth of a number is 17 . what will be 40 % of that number | 2gain |
what is the decimal equivalent of ( 1 / 5 ) ^ 2 ? | 0general |
at an international conference , β red β world countries and β blue β world countries are the only participants . the ratio of β red β world participants to β blue β world participants is 10 : 5 . if one - third of β red β world participants are left - handed and two - thirds of β blue β world participants are left - handed , then what is the fraction of the participants who are left - handed ? | 5other |
the average salary / head of allthe workers in a workshop is rs . 750 , if the average salary / head of 5 technician is rs . 900 and the average salary / head of the rest is rs . 700 , the total no . of workers in the work - shop is ? | 0general |
the average age of 10 men increases by 6 years when two women are included in place of two men of ages 18 and 22 years . find the average age of the women ? | 0general |
a started a business with an investment of rs . 70000 and after 3 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 43000 , then the share of b is ? | 2gain |
working together , printer a and printer b would finish the task in 10 minutes . printer a alone would finish the task in 30 minutes . how many pages does the task contain if printer b prints 5 pages a minute more than printer a ? | 1physics |
the ratio of boys to girl in a school is 5 : 4 . if there are 1500 boys in the school , how many girls are there ? | 5other |
a tank can be filled by two pipes a and b in 60 minutes and 40 minutes respectively . how many minutes will it take to fill the tank from empty state if b is used for the first half time and then a and b fill it together for the other half | 1physics |
the diameter of a garden roller is 1.4 m and it is 2 m long . how much area will it cover in 4 revolutions ? ( use Γ― β¬ = 22 Γ’ Β β 7 ) | 1physics |
in a group of ducks and cows , the total number of legs are 48 more than twice the no . of heads . find the total no . of buffaloes . | 0general |
two - third of a positive number and 64 / 216 of its reciprocal are equal . the number is : | 0general |
when positive integer m is divided by positive integer n , the remainder is 12 . if m / n = 24.2 , what is the value of n ? | 0general |
if x and y are positive integers and 12 x = 21 y what is the least possible value of xy ? | 0general |
a train crosses a platform of 350 m in 15 sec , same train crosses another platform of length 500 m in 20 sec . then find the length of the train ? | 1physics |
0.001 Γ£ β 0.001 = ? | 0general |
if doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product , the number is | 0general |
x + ( 1 / x ) = 3.5 find x ^ 2 + ( 1 / x ^ 2 ) | 0general |
what is the difference between the largest number and the least number written with the digits 9 , 2 , 1 , 5 ? | 0general |
the ratio of flour to water to sugar in a recipe is 7 : 2 : 1 . the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar . if the new recipe calls for 2 cups of water , how much sugar is required ? | 5other |
a train , 130 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds . the length of the bridge is | 1physics |
the unit digit in the product 1258 * 6754 * 4512 * 9783 is ? | 0general |
a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 900 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ? | 1physics |
a school has 4 section of chemistry in class x having 70 , 35 , 45 and 42 students . the mean marks obtained in chemistry test are 50 , 60 , 55 and 45 respectively for the 4 sections . determine the overall average of marks per student . | 0general |
how much is 40 % of 60 is greater than 4 / 5 of 25 ? | 0general |
today joelle opened an interest - bearing savings account and deposited $ 5,000 . if the annual interest rate is 5 percent compounded interest , and she neither deposits nor withdraws money for exactly 2 years , how much money will she have in the account ? | 2gain |
if the sides of a triangle are 30 cm , 26 cm and 10 cm , what is its area ? | 3geometry |
a store owner estimates that the average price of type a products will increase by 15 % next year and that the price of type b products will increase by 18 % next year . this year , the total amount paid for type a products was $ 4600 and the total price paid for type b products was $ 8400 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ? | 0general |
when positive integer n is divided by positive integer p , the quotient is 18 , with a remainder of 7 . when n is divided by ( p + 2 ) , the quotient is 10 and the remainder is 3 . what is the value of n ? | 0general |
ashok borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years and at the rate of 14 % p . a . for the period beyond 5 years . if he pays a total interest of 11400 / - at the end of 9 years , how much money did he borrow ? | 0general |
` ` i am 8 times as old as you were when i was as old as you are ` ` , said a man to his son . find out their present ages if the sum of the their ages is 75 years . | 0general |
ada and paul received their scores on 3 tests . on the first test , ada ' s score was 10 points higher than paul ' s score . on the second test , ada ' s score was 4 points higher than paul ' s score . if paul ' s average ( arithmetic mean ) score on the 3 tests was 4 points higher than ada ' s average score on the 3 tests , then paul ' s score on the third test was how many points higher than ada ' s score ? | 0general |
the simple interest on a certain sum of money for 3 years at 8 % per annum is half the compound interest on $ 4000 for 2 years at 10 % per annum . the sum placed on simple interest is ? | 2gain |
teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 156 per kg , the price of the third variety per kg will be ? | 5other |
in a company with 48 employees , some part - time and some full - time , exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work . what is the greatest possible number of employees who take the subway to work ? | 0general |
what is the maximum number of pieces of birthday cake of size 3 β by 3 β that can be cut from a cake 21 β by 21 β ? | 1physics |
in a certain company , the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 37 . in the company , what is the maximum number of non - managers in a department that has 9 managers ? | 0general |
a train covers a distance of 12 km in 10 min . if it takes 7 sec to pass a telegraph post , then the length of the train is ? | 1physics |
in a class of 78 students 41 are taking french , 22 are taking german . of the students taking french or german , 9 are taking both courses . how many students are not enrolled in either course ? | 5other |
if ( n + 2 ) ! / n ! = 182 , n = ? | 0general |
in what ratio must tea at rs . 64 per kg be mixed with tea at rs . 74 per kg so that the mixture must be worth rs . 69 per kg ? | 5other |
36 . a 240 m long train crosses a platform of equal length in 27 s . what is the speed of the train in km / h ? | 1physics |
the base of a triangular field is three times its altitude . if the cost of cultivating the field at rs . 24.68 per hectare be rs . 333.18 , find its base and height . | 3geometry |
a , b and c enter into a partnership by investing $ 11000 , $ 15000 and $ 23000 respectively . at the end of 8 months , b receives $ 1540 as his share . find the share of a . | 2gain |
if each year the population of the country grows by 30 % , how many years will elapse before the population of the country doubles ? | 2gain |
if the median of a list of numbers is m , the first quartile of the list is the median of the numbers in the list that are less than m . what is the first quartile of the list of numbers 42 , 24 , 30 , 34 , 26 , 36 , 33 and 35 ? | 0general |
how many integers are divisible by 3 between 20 ! and 20 ! + 20 inclusive ? | 0general |
the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 27 minutes is : | 1physics |
if 4 people are selected from a group of 10 married couples , what is the probability that none of them would be married to each other ? | 4probability |
what is the least number of square tiles required to pave the floor of a room 50 m 00 cm long and 11 m 25 cm broad ? | 1physics |
in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 65 liters and they are all empty , how much money total will it cost to fuel all cars ? | 0general |
if the average of 37 , 69 , 47 and x is 46.5 , what is x ? | 0general |
joe β s average ( arithmetic mean ) test score across 4 equally weighted tests was 60 . he was allowed to drop his lowest score . after doing so , his average test score improved to 65 . what is the lowest test score that was dropped ? | 0general |
if the number 992 , 132,24 x is divisible by 11 , what must be the value of x ? | 0general |
in kaya ' s teacher ' s desk there are 9 pink highlighters , 8 yellow highlighters , and 5 blue highlighters . how many highlighters are there in all ? | 0general |
a metal company ' s old machine makes bolts at a constant rate of 100 bolts per hour . the company ' s new machine makes bolts at a constant rate of 150 bolts per hour . if both machines start at the same time and continue making bolts simultaneously , how many minutes will it take the two machines to make a total of 500 bolts ? | 1physics |
the average mark of a class of thirty two students is 75 . if 3 students whose marks are 28 and 34 are removed , then find the approximate average mark of the remaining students of the class . | 0general |
a can do a piece of work in 6 days , and b can do it in 5 days . if c , who can do the work in 12 days , joins them , how long will they take to complete the work ? | 1physics |
the perimeter of a triangle is 39 cm and the inradius of the triangle is 1.5 cm . what is the area of the triangle ? | 3geometry |
the average age of 20 students of a class is 20 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years , the age of the 20 th student is | 0general |
tom , working alone , can paint a room in 6 hours . peter and john , working independently , can paint the same room in 3 hours and 5 hours , respectively . tom starts painting the room and works on his own for one hour . he is then joined by peter and they work together for an hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ? | 1physics |
little roshini had $ 10.50 . he spent some money on sweets and gave to his two friends $ 3.40 each . how much money was spent for sweets ? | 0general |
a company has two types of machines , type r and type s . operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 9 hours . if the company used the same number of each type of machine to do job in 12 hours , how many machine r were used ? | 2gain |
a batsman makes a score of 110 runs in the 11 th inning and thus increases his average by 5 . find his average after 11 th inning . | 0general |
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