Problem stringlengths 5 967 | category class label 6
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the price of rice falls by 20 % . how much rice can be bought now with the money that was sufficient to buy 40 kg of rice previously ? | 2gain |
a sum of money is to be divided among ann , bob and chloe . first , ann receives $ 4 plus one - half of what remains . next , bob receives $ 4 plus one - third of what remains . finally , chloe receives the remaining $ 32 . how much money j did bob receive ? | 0general |
a certain junior class has 1,000 students and a certain senior class has 800 students . among these students , there are 40 siblings pairs , each consisting of 1 junior and 1 senior . if 1 student is to be selected at random from each class , what is the probability that the 2 students selected at will be a sibling pair ? | 4probability |
running at their respective constant rates , machine x takes 2 days longer to produce w widgets than machine y . at these rates , if the two machines together produce 5 / 4 w widgets in 3 days , how many days would it take machine x alone to produce 5 w widgets ? | 0general |
find value for x from below equation ? x + 1 = 2 | 0general |
a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs . 170 less than the sum lent . what was the sum lent ? | 2gain |
little john had $ 10.50 . he spent $ 2.25 on sweets and gave to his two friends $ 2.20 each . how much money was left ? | 0general |
a and b can do a piece of work in 12 days and 16 days respectively . both work for 3 days and then a goes away . find how long will b take to complete the remaining work ? | 1physics |
what is the square root of 225 ? | 5other |
a motorcycle importer is planning on increasing the price of a certain model by $ 1000 . at this new price 8 fewer motorcycles will be sold per month , but the total revenues will increase by $ 26000 to $ 594000 . what is the number of motorcycles the manufacturer will sell at this new price ? | 0general |
1 / 0.02 is equal to | 0general |
the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 10000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is | 0general |
what is the remainder when 3 ^ 29 is divided by 5 ? | 0general |
obra drove 200 π meters along a circular track . if the area enclosed by the circular track on which she drove is 57,600 π square meters , what percentage of the circular track did obra drive ? | 3geometry |
if the price of a certain computer increased 20 percent from d dollars to 351 dollars , then 2 d = | 0general |
two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 20 hr . if all pipes are opened simultaneously , then the cistern will be filled in | 1physics |
what must be added to each term of the ratio 2 : 3 , so that it may become equal to 4 : 5 ? | 0general |
obra drove 180 π meters along a circular track . if the area enclosed by the circular track on which she drove is 57,600 π square meters , what percentage of the circular track did obra drive ? | 3geometry |
the average of 8 numbers is 21 . if each of the number is multiplied by 8 , the average of the new set of numbers is : | 0general |
if 14 men do a work in 80 days , in how many days will 20 men do it ? | 1physics |
in what proportion must flour at $ 0.8 per pound be mixed with flour at $ 0.9 per pound so that the mixture costs $ 0.855 per pound ? | 0general |
two terms are in 3 : 4 , if 10 is added to each of the terms , they will be 4 : 5 . find second term ? | 1physics |
a 600 meter long train crosses a signal post in 40 seconds . how long will it take to cross a 18 kilometer long bridge , at the same speed ? | 1physics |
two pipes a and b can fill a tank in 18 hours and 24 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ? | 1physics |
the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . what is the length of the rectangle | 3geometry |
the list price of an article is rs . 70 . a customer pays rs . 59.85 for it . he was given two successive discounts , one of them being 10 % . the other discount is ? | 2gain |
for every x , the action [ x ] is defined : [ x ] is the greatest integer less than or equal to x . what is the value of [ 6.5 ] x [ 2 / 3 ] + [ 2 ] x 7.2 + [ 8.4 ] - 9.8 ? | 0general |
two persons start running simultaneously around a circular track of length 250 m from the same point at speeds of 20 kmph and 40 kmph . when will they meet for the first time any where on the track if they are moving in the opposite direction ? | 1physics |
sixteen percent of the programmers in a startup company weigh 200 pounds or more . 20 - 5 percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less . what percent of the programmers in the startup company weigh between 100 and 200 pounds ? | 0general |
if a square mirror has a 20 - inch diagonal , what is the approximate perimeter q of the mirror , in inches ? | 3geometry |
pipes a and b can fill a tank in 3 and 4 hours . pipe c can empty it in 4 hours . if all pipes are opened together , then the tank will be filled in ? | 1physics |
a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 5 . the ratio of economy cars to sport utility vehicles is 4 : 3 . what is the ratio of luxury cars to sport utility vehicles ? | 5other |
in a graduating class , the difference between the highest and lowest salaries is $ 100000 . the median salary is $ 50000 higher than the lowest salary and the average salary is $ 20000 higher than the median . what is the minimum number of students r in the class ? | 0general |
if 10 people contributed a total of $ 20.00 toward a gift and each of them contributed at least $ 1.00 , then the maximum possible amount any one person could have contributed is | 0general |
the average salary of workers in an industry is rs . 200 the average salary of technicians being rs . 400 and that of non - technicians being rs . 125 . what is the total number of workers ? | 0general |
two trains of equal lengths take 10 sec and 8 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ? | 1physics |
reema took a loan of rs 1200 with simple interest for as many years as the rate of interest . if she paid rs . 432 as interest at the end of the loan period , what was the rate of interest . | 2gain |
each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 26 have long fur , 22 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ? | 5other |
evaluate : 6202.5 + 620.25 + 62.025 + 6.2025 + 0.62025 | 0general |
a van takes 5 hours to cover a distance of 465 km . what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time ? | 1physics |
the product of two numbers is 120 and the sum of their squares is 289 . the sum is : | 0general |
in what time will a railway train 60 m long moving at the rate of 54 kmph pass a telegraph post on its way ? | 1physics |
a person walks at a speed of 4 km / hr and runs at a speed of 8 km / hr . how many hours will the person require to cover a distance of 4 km , if the person completes half of the distance by walking and the other half by running ? | 1physics |
mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles per hour . then , 15 minutes later , paul passed the same gas station while traveling west at a constant speed of 60 miles per hour . if both drivers maintained their speeds and both remained on the highway for at least 4 hours , how long after he passed the gas station did paul catch up with mary ? | 1physics |
the sum of three consecutive even numbers is 36 . find the middle number of the three ? | 1physics |
the average of runs of a cricket player of 10 innings was 32 . how many runs must he make in his next innings so as to increase his average of runs by 4 ? | 0general |
the guests at a football banquet consumed a total of 323 pounds of food . if no individual guest consumed more than 2 pounds of food , what is the minimum number of guests that could have attended the banquet ? | 0general |
a person can swim in still water at 10 km / h . if the speed of water 4 km / h , how many hours will the man take to swim back against the current for 12 km ? | 1physics |
in plutarch enterprises , 70 % of the employees are marketers , 20 % are engineers , and the rest are managers . marketers make an average salary of $ 70,000 a year , and engineers make an average of $ 80,000 . what is the average salary for managers if the average for all employees is also $ 80,000 ? | 0general |
2525 * 9 | 0general |
the diagonals of a rhombus are 15 cm and 21 cm . find its area ? | 3geometry |
rs . 500 amounts to rs . 620 in 2 years at simple interest . if the interest is increased by 2 % , it would amount to how much ? | 2gain |
if the sales tax be reduced from 3 ( 1 / 5 ) % to 2 ( 1 / 2 ) % , then what difference does it make to a person who purchases a bag with marked price of rs . 6400 ? | 0general |
circles x and y are concentric . if the radius of circle x is 6 times that of circle y , what is the probability that a point selected inside circle x at random will be outside circle y ? | 0general |
if x + y = 8 and y − 3 x = 7 , then what is the value of y - x ? | 0general |
if 6 / w + 6 / x = 6 / y and wx = y , then the average ( arithmetic mean ) of w and x is | 0general |
a cycle is bought for rs . 900 and sold for rs . 1350 , find the gain percent ? | 2gain |
some persons can do a piece of work in 24 days . two times the number of these people will do half of that work in ? | 1physics |
if 1 / 12 of the passengers on a ship are from north america , 1 / 4 are europeans , 2 / 9 are from africa , 1 / 6 are from asia and the remaining 50 people are citizens of other continents , then how many passengers are on board the ship ? | 0general |
what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 3 ? | 0general |
if it takes 4 movers 40 minutes to unpack their van , how long would 5 movers take ? | 1physics |
a person can row at 9 kmph and still water . he takes 5 1 / 2 hours to row from a to b and back . what is the distance between a and b if the speed of the stream is 1 kmph ? | 1physics |
a grocer has a sale of rs . 5420 , rs . 5660 , rs . 6200 , rs . 6350 and rs . 6500 for 5 consecutive months . find the sale he should have in the sixth month , so that he gets an average sale of rs . 6300 ? | 0general |
a train moves with a speed of 189 kmph . its speed in metres per second is | 1physics |
a man has some hens and cows . if the number of heads be 100 and the number of feet equals 180 , then the number of hens will be : | 0general |
if 5 x = 6 y and xy ≠ 0 , what is the ratio of 1 / 3 * x to 1 / 5 * y ? | 0general |
john and jacob set out together on bicycle traveling at 12 and 9 miles per hour , respectively . after 40 minutes , john stops to fix a flat tire . if it takes john one hour to fix the flat tire and jacob continues to ride during this time , how many hours will it take john to catch up to jacob assuming he resumes his ride at 12 miles per hour ? ( consider john ' s deceleration / acceleration before / after the flat to be negligible ) | 1physics |
the proportion of water to alcohol in solution a is 5 : 1 and the proportion of water to alcohol in solution b is 2 : 3 . if an equal amount of each solution is mixed together , what is the concentration of alcohol in the new solution ? | 0general |
51 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ? | 1physics |
a palindrome is a word or a number that reads the same forward and backward . for example , 2442 and 111 are palindromes . if 5 - digit palindromes are formed using one or more of the digits 1 , 2 , 3 , 4 , 5 , and 6 , how many palindromes are possible ? | 0general |
a sells a bicycle to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays rs . 225 for it , the cost price of the bicycle for a is ? | 2gain |
the average marks of a class of 30 students is 50 and that of another class of 50 students is 60 . find the average marks of all the students ? | 0general |
if equation | x / 2 | + | y / 2 | = 1 encloses a certain region on the coordinate plane , what is the area of this region ? | 0general |
andrea wants to fill in two sections of her backyard with sod that must be purchased in 2 - x - 2 - foot squares . if the two sections measure 30 x 40 feet and 60 x 80 feet , how many squares of sod does she need to buy ? | 0general |
carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 4 inches long , how wide is jordan ' s rectangle , in inches ? | 3geometry |
this year , mbb consulting fired 7 % of its employees and left remaining employee salaries unchanged . sally , a first - year post - mba consultant , noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before . the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction ? | 0general |
at a certain company , each employee has a salary grade s that is at least 1 and at most 6 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 1 ) . an employee with a salary grade of 6 receives how many more dollars per hour than an employee with a salary grade of 1 ? | 0general |
the sale price sarees listed for rs . 400 after successive discount is 12 % and 5 % is ? | 2gain |
if 4 b ^ 4 − 41 b ^ 2 + 100 = 0 , then what is the sum of the two greatest possible values of b ? | 0general |
having scored 99 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ? | 0general |
a company decreased the price of its main product by 10 % . subsequently , the number of units sold increased such that the total revenue remained unchanged . what was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product ? | 0general |
of all the homes on gotham street , 1 / 3 are termite - ridden , and 7 / 10 of these are collapsing . what fraction of the homes are termite - ridden , but not collapsing ? | 0general |
a train 150 meters long completely crosses a 320 meters long bridge in 40 seconds . what is the speed of the train is ? | 1physics |
jar x is 1 / 2 full of water . jar y , which has half the capacity of jar x , is 1 / 4 full of water . if the water in jar y is poured into jar x , then jar x will be filled to what fraction of its capacity ? | 0general |
how much is 80 % of 40 is greater than 4 / 5 of 15 ? | 0general |
a rainstorm increased the amount of water stored in state j reservoirs from 160 billion gallons to 200 billion gallons . if the storm increased the amount of water in the reservoirs to 50 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? | 0general |
if 6 spiders make 6 webs in 6 days , then 1 spider will make 1 web in how many days ? | 1physics |
solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 250 milliliters of solution x to create a solution that is 25 percent alcohol by volume ? | 0general |
a man is walking at a speed of 10 km per hour . after every kilometre , he takes rest for 10 minutes . how much time will be take to cover a distance of 10 kilometres ? | 1physics |
eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 3 hours to complete the journey . if the distance between city a and city b is 600 kms and city a and city c is 300 kms . what is the ratio of their average speed of travel ? ( eddy : freddy ) | 1physics |
a motorcyclist goes from nagpur to pune , a distance of 500 kms at an average of 100 kmph speed . another man starts from nagpur by car 3 â ½ hours after the first , and reaches pune â ½ hour earlier . what is the ratio of the speed of the motorcycle and the car ? | 1physics |
if jake loses 8 pounds , he will weigh twice as much as his sister kendra . together they now weigh 287 pounds . what is jake ’ s present weight , in pounds ? | 0general |
what is the greatest positive integer q such that 3 ^ q is a factor of 9 ^ 10 ? | 5other |
for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum s of all the even integers between 99 and 301 ? | 0general |
a can do a piece of work in 4 days . b can do it in 15 days . with the assistance of c they completed the work in 24 days . find in how many days can c alone do it ? | 1physics |
find 10 / 11 = 110 / ? | 0general |
in a dairy farm , 46 cows eat 46 bags of husk in 46 days . in how many days one cow will eat one bag of husk ? | 1physics |
[ ( 3.242 x 14 ) / 100 ] = ? | 0general |
i chose a number and divide it by 5 . then i subtracted 154 from the result and got 6 . what was the number i chose ? | 0general |
a man rows his boat 80 km downstream and 45 km upstream , taking 2 1 / 2 hours each time . find the speed of the stream ? | 1physics |
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