Problem stringlengths 5 967 | category class label 6
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80 % of the population of a village is 32000 . the total population of the village is ? | 0general |
a number x is 4 times another number y . the percentage that y is less than x is | 0general |
a trader has 1600 kg of sugar . he sells a part at 8 % profit and the rest at 12 % profit . if he gains 11 % on the whole , find the quantity sold at 12 % ? | 2gain |
john spent 40 percent of his earning last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher . what percent of last month ' s earning did john have left over ? | 2gain |
10 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 5 women and 4 children take to complete the work ? | 1physics |
lloyd normally works 7.5 hours per day and earns $ 4.50 per hour . for each hour he works in excess of 7.5 hours on a given day , he is paid 2.0 times his regular rate . if lloyd works 10.5 hours on a given day , how much does he earn for that day ? | 1physics |
on a certain road , 20 % of the motorists exceed the posted speed limit and receive speeding tickets , but 20 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on that road exceed the posted speed limit ? | 2gain |
if the remainder is 16 when the integer n is divided by 30 , what is the remainder when 2 n is divided by 15 ? | 0general |
to apply for the position of photographer at a local magazine , a photographer needs to include 4 or 5 photos in an envelope accompanying the application . if the photographer has pre - selected 7 photos representative of her work , how many choices does she have to provide the photos for the magazine ? | 1physics |
at 6 ′ o a clock ticks 6 times . the time between first and last ticks is 30 seconds . how long does it tick at 12 ′ o clock | 1physics |
john purchased some shirts and trousers for $ 1100 . he paid $ 550 less for the shirts than he did for the trousers . if he bought 5 shirts and the cost of a shirt is $ 20 less than that of a trouser , how many trousers did he buy ? | 0general |
a case of 12 rolls of paper towels sells for $ 9 . the cost of one roll sold individually is $ 1 . what is the percent t of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ? | 0general |
in a throw of a coin find the probability of getting a head ? | 4probability |
a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 12 days . in how many days b alone can do the work ? | 1physics |
evaluate : 460 - 12 * 3 * 2 = ? | 0general |
in a km race , a beats bby 28 metres or 7 seconds . find a ' s timeoverthe course | 1physics |
a thief is spotted by a policeman from a distance of 200 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ? | 1physics |
set x consists of 10 integers and has median of 30 and a range of 20 . what is the value of the greatest possible integer that can be present in the set ? | 0general |
a cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ? | 1physics |
find the sum lend at c . i . at 5 p . c per annum will amount to rs . 650 in 2 years ? | 0general |
there are 456 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ? | 5other |
find the simple interest on rs . 70,400 at 16 2 / 3 % per annum for 9 months . | 2gain |
the true discount on a bill due 9 months hence at 16 % per annum is rs . 153 . the amount of the bill is | 2gain |
a voltage will influence current only if the circuit is : | 3geometry |
a watch was sold at a loss of 10 % . if it was sold for rs . 140 more , there would have been a gain of 2 % . what is the cost price ? | 2gain |
in the junior basketball league there are 15 teams , 2 / 3 of them are bad and ½ are rich . what ca n ' t be the number of teams that are rich and bad ? | 0general |
a movie buff buys movies on dvd and on blu - ray in a ratio of 17 : 4 . if she returns 4 blu - ray movies , that ratio would change to 9 : 2 . if she buys movies on no other medium , what was the original number of movies purchased ? | 5other |
in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 15 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ? | 2gain |
a cube has two of its faces painted half red and half white . the other faces are completely painted white . what is the ratio between the red painted areas and the white painted areas of the cube ? | 3geometry |
if athul rows 16 km upstream and 24 km down steam taking 4 hours each , then the speed of the stream | 1physics |
the average age of 30 students in a class is 5 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ? | 0general |
a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 11000 . what is the share of c ? | 2gain |
a batsman scored 120 runs which included 3 boundaries and 8 sixes . what % of his total score did he make by running between the wickets | 0general |
worker a takes 8 hours to do a job . worker b takes 10 hours to do a job . how long should it take both a and b , working together to do same job | 1physics |
4.036 divided by 0.04 gives : | 0general |
find the constant k so that : - x 2 - ( k + 7 ) x - 8 = - ( x - 2 ) ( x - 4 ) | 0general |
a car takes 4.5 hours to travel from a to b , which is 360 miles apart . what is the average speed of the car ? | 1physics |
there are 20 balls which are red , blue or green . if 7 balls are green and the sum of red balls and green balls is less than 13 , at most how many red balls are there ? | 0general |
an amount of rs . 100000 is invested in two types of shares . the first yields an interest of 9 % p . a and the second , 11 % p . a . if the total interest at the end of one year is 9 1 / 2 % , then the amount invested at 11 % was ? | 2gain |
at what price must an book costing $ 47.50 be marked in order that after deducting 8 % from the list price . it may be sold at a profit of 25 % on the cost price ? | 2gain |
exactly 36 % of the numbers in set s are even multiples of 3 . if 40 % of the even integers in set s are not multiples of 3 , what percent of the numbers in set s are not even integers ? | 2gain |
the average age of a group of 10 persons was decreased by 3 years when one person , whose age was 48 years , was replaced by a new person . find the age of the new person ? | 0general |
a glucose solution contains 10 grams of glucose per 100 cubic centimeters of solution . if 45 cubic centimeters of the solution were poured into an empty container , how many grams of glucose would be in the container ? | 1physics |
find the two digit number , such that the ratio is 7 / 4 of original number to the number formed by reversing the digits . | 5other |
the owner of a furniture shop charges his customer 10 % more than the cost price . if a customer paid rs . 7350 for a computer table , then what was the cost price of the computer table ? | 2gain |
a can do a piece of work in 4 days . b can do it in 5 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ? | 1physics |
what least no . must be subtracted from 10154 so that remaining no . is divisible by 30 ? | 0general |
the length of the bridge , which a train 140 meters long and travelling at 45 km / hr can cross in 30 seconds , is : | 1physics |
the present population of a town is 240 . population increase rate is 10 % p . a . find the population of town after 1 years ? | 2gain |
a batsman makes a score of 74 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ? | 0general |
a 5 - digit number divisible by 3 is to be formed using numerical 0 , 1 , 2 , 3 , 4 and 5 without repetition . the total number q of ways this can be done is : | 0general |
the red triangle is equilateral with a side of 23 centimetres . its perimeter is | 3geometry |
the average height of 35 boys in a class was calculated as 180 cm . it has later found that the height of one of the boys in the class was wrongly written as 156 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ) . | 0general |
in a group of 100 cars , 37 cars do not have air conditioning . if at least 51 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ? | 5other |
the maitre ' d at an expensive manhattan restaurant has noticed that 60 % of the couples order dessert and coffee . however , 20 % of the couples who order dessert do n ' t order coffee . what is the probability r that the next couple the maitre ' d seats will not order dessert ? | 4probability |
john purchased 1365 large bottles at $ 1.89 per bottle and 720 small bottles at $ 1.42 per bottle . what was the approximate average price paid per bottle ? | 0general |
a train 100 meters long completely crosses a 300 meters long bridge in 15 seconds . what is the speed of the train is ? | 1physics |
( 500 + 200 + 100 ) ã — 4 ã — ( 3 + 4 ) = ? | 0general |
jane makes toy bears . when she works with an assistant , she makes 80 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane ’ s output of toy bears per hour by what percent e ? | 1physics |
if the wheel is 10 cm then the number of revolutions to cover a distance of 1056 cm is ? | 1physics |
the perimeter of a semi circle is 126 cm then the radius is ? | 1physics |
two cyclist start from the same places in opposite directions . one is going towards north at 10 kmph and the other is going towards south 15 kmph . what time will they take to be 50 km apart ? | 1physics |
r is the set of positive even integers less than 101 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ? | 1physics |
a fill pipe can fill 1 / 4 of cistern in 16 minutes in how many minutes , it can fill 3 / 4 of the cistern ? | 1physics |
how many three digit numbers e are divisible by 78 or 91 ? | 0general |
calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 35 % and its breadth is decreased by 21 % ? | 3geometry |
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 3 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 18 percent , what is the discount rate on pony jeans ? | 2gain |
a and b began business with rs . 2000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 630 find the share of b . | 2gain |
if 70 % of a number exceeds 28 % of it by 39.9 , then find the number ? | 2gain |
40 onions on a scale weigh 7.68 kg . when 5 onions are removed from the scale , the average weight of the 35 onions is 190 grams . what is the average weight ( in grams ) of the 5 onions which were removed ? | 0general |
evaluate : 6402.5 + 640.25 + 64.025 + 6.4025 + 0.64025 | 0general |
mudit ' s age 16 years hence will be thrice his age 4 years ago . find mudit ' s present age ? | 0general |
the compound interest earned on a sum for the second and the third years are $ 1400 and $ 1540 respectively . what is the rate of interest ? | 2gain |
on a certain planet where people usually tend to live for more than a century , the ratio of present ages of father and son is 7 : 4 . 10 years later , the ratio of their ages will be 5 : 3 . what is the sum of their present ages ? | 0general |
a certain candy manufacturer reduced the weight of candy bar m by 40 percent buy left the price unchanged . what was the resulting percent increase in the price per ounce of candy bar m ? | 2gain |
weights of two friends ram and shyam are in the ratio 1 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ? | 2gain |
the average of first 20 prime numbers is ? | 0general |
what is the value of x ^ 2 yz − xyz ^ 2 , if x = − 2 , y = 1 , and z = 4 ? | 0general |
a train of 35 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 1.5 km long ? | 1physics |
on july 1 of last year , total employees at company e was decreased by 10 percent . without any change in the salaries of the remaining employees , the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease . the total of the combined salaries of all the employees at company e after july 1 last year was what percent q of thatbeforejuly 1 last year ? | 0general |
the difference of two numbers is 11 and one - fifth of their sum is 9 . find the numbers | 0general |
a man spend 1 / 5 of his salary on food , 1 / 10 of his salary on house rent and 3 / 5 salary on clothes . he still has $ 18000 left with him . find salary . . | 0general |
bert left the house with n dollars . he spent 1 / 4 of this at the hardware store , then $ 9 at the dry cleaners , and then half of what was left at the grocery store . when he got home , he had $ 12 left in his pocket . what was the value of n ? | 0general |
if the wheel is 14 cm then the number of revolutions to cover a distance of 3520 cm is ? | 1physics |
what will be the compound interest on a sum of rs . 15000 after 3 years at the rate of 12 % p . a . ? | 2gain |
if 13 = 13 w / ( 1 - w ) , then ( w ) 2 = | 0general |
on dividing 15968 by a certain number , the quotient is 89 and the remainder is 37 . find the divisor . | 0general |
58 , 52 , 46 , 40 , 34 , . . . ? | 0general |
if a coin is flipped , the probability that the coin will land tails is 1 / 2 . if the coin is flipped 4 times , what is the probability that it will land tails up on the first 2 flips and not on the last 2 flips ? | 4probability |
if rs . 460 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ? | 2gain |
a train passes a station platform in 50 sec and a man standing on the platform in 15 sec . if the speed of the train is 54 km / hr . what is the length of the platform ? | 1physics |
a trained covered x km at 70 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km . | 0general |
a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is : | 3geometry |
a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 420 kilograms of pears that day , how many kilograms did he sell in the afternoon ? | 5other |
the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 1000 per sq . metre . | 1physics |
the probability that a can solve the problem is 2 / 3 and b can solve it is 3 / 4 . if both of them attemp the problem , then what is the probability that the problem get solved ? | 5other |
a and b finish the job in 15 days . while a , b and c can finish it in 11 days . c alone will finish the job in | 1physics |
on a map , 1 inch represents 28 miles . how many x xxinches would be necessary to represent a distance of 383.6 miles ? | 1physics |
tim has 13 10 - dollar bills , 11 5 - dollar bills , and 17 one - dollar bills . if tim needs to pay exactly $ 128 , what is the least number of bills he will need to use ? | 0general |
if in a race of 130 m , a covers the distance in 20 seconds and b in 25 seconds , then a beats b by : | 1physics |
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