Problem stringlengths 5 967 | category class label 6
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the largest natural number by which the product of 3 consecutive even natural numbers is always divisible , is | 0general |
a sum of money is put out at compound interest for 2 years at 20 % . it would fetch rs . 482 more if the interest were payable half - yearly , then it were pay able yearly . find the sum ? | 0general |
a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a rate of 5 miles per day and it will take them two days , how many miles long is the route down the mountain ? | 1physics |
in the xy - coordinate plane , the graph of y = - x ^ 2 + 4 intersects line l at ( p , 5 ) and ( t , - 7 ) . what is the least possible value of the slope of line l ? | 0general |
the value of a machine depreciates at 25 % per annum . if its present value is $ 1 , 50,000 , at what price should it be sold after two years such that a profit of $ 24,000 is made ? | 2gain |
triangle atriangle b are similar triangles with areas 2268 units square and 2527 units square respectively . the ratio of there corresponding height would be | 3geometry |
40 litres of diesel is required to travel 600 km using a 800 cc engine . if the volume of diesel required to cover a distance varies directly as the capacity of the engine , then how many litres of diesel is required to travel 800 km using 1200 cc engine ? | 1physics |
a and b go around a circular track of length 600 m on a cycle at speeds of 24 kmph and 60 kmph . after how much time will they meet for the first time at the starting point ? | 1physics |
the captain of a cricket team of 11 members is 28 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? | 0general |
during 2003 , a company produced an average of 2,000 products per month . how many products will the company need to produce from 2004 through 2007 in order to increase its monthly average for the period from 2003 through 2007 by 150 % over its 2003 average ? | 0general |
a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 30 days starting with sunday is | 0general |
a train speeds past a pole in 15 sec and a platform 150 m long in 25 sec , its length is ? | 1physics |
there are 2 sections a and b in a class , consisting of 40 and 30 students respectively . if the average weight of section a is 50 kg and that of section b is 60 kg , find the average of the whole class ? | 0general |
a customer purchased a package of ground beef at a cost of $ 1.76 per pound . for the same amount of money , the customer could have purchased a piece of steak that weighed 36 percent less than the package of ground beef . what was the cost per pound of the steak ? | 0general |
a train 275 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ? | 1physics |
lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 74,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is : | 0general |
the average ( arithmetic mean ) of the even integers from 16 to 44 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 14 to 56 inclusive ? | 0general |
if a card is drawn from a well shuffled pack of cards , the probability of drawing a spade or a king is ? | 4probability |
two employees a and b are paid a total of rs . 570 per week by their employer . if a is paid 150 percent of the sum paid to b , how much is b paid per week ? | 0general |
a company has two models of computers , model m and model n . operating at a constant rate , a model m computer can complete a certain task in 36 minutes and a model n computer can complete the same task in 18 minutes . if the company used the same number of each model of computer to complete the task in 1 minute , how many model m computers were used ? | 1physics |
a retailer sold an appliance for $ 70 . if the retailer ' s gross profit on the appliance was 25 percent of the retailer ' s cost for the appliance , how many dollars was the retailer ' s gross profit ? | 2gain |
a sporting goods store sold 60 frisbees in one week , some for $ 3 and the rest for $ 4 each . if receipts from frisbee sales for the week totaled $ 200 , what is the fewest number of $ 4 frisbees that could have been sold ? | 0general |
there are 16 bees in the hive , then 7 more fly . how many bees are there in all ? | 0general |
laura took out a charge account at the general store and agreed to pay 6 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? | 0general |
with both inlets open , a water tank will be filled with water in 24 minutes . the first inlet alone would fill the tank in 2 hours . if in every minutes the second inlet admits 50 cubic meters of water than the first , what is the capacity of the tank ? | 1physics |
if 4 men can colour 48 m long cloth in 2 days , then 6 men can colour 36 m long cloth in ? | 1physics |
find the area of a rhombus one side of which measures 20 cm and one diagonal is 23 cm . | 3geometry |
compound interest of rs . 6000 at 10 % per annum for 1 1 / 2 years will be ( interest compounded half yearly ) . | 2gain |
a and b started a business investing rs . 75,000 and rs 20,000 respectively . in what ratio the profit earned after 2 years be divided between a and b respectively ? | 2gain |
a person borrows 5000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 61 ⁄ 4 % p . a . for 2 years . find his gain in the transaction per year . | 2gain |
a side of beef lost 30 percent of its weight in processing . if the side of beef weighed 500 pounds after processing , how many pounds did it weigh before processing ? | 2gain |
if the price of a tv is first decreased by 20 % and then increased by 40 % , then the net change in the price will be : | 0general |
two sets of 3 consecutive positive odd integers have exactly one integer in common . the sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set ? | 0general |
a train running at 1 / 5 of its own speed reached a place in 20 hours . how much time could be saved if the train would have run at its own speed ? | 1physics |
in a certain pond , 60 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ? | 2gain |
how many 4 - digit even numbers are possible such that if one of the digits is 5 , the next / succeeding digit to it should be 7 ? | 0general |
a man has 1044 candles . after burning , he can make a new candle from 9 stubs left behind . find the maximum number of candles that can be made . | 0general |
find the amount on rs . 7000 in 2 years , the rate of interest being 4 % per first year and 5 % for the second year ? | 2gain |
a merchant has 1000 kg of sugar part of which he sells at 8 % profit and the rest at 18 % profit . he gains 14 % on the whole . the quantity sold at 18 % profit is | 2gain |
a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 25 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ? | 2gain |
a batsman makes a score of 64 runs in the 16 th innings and thus increased his average by 3 . find his average after the 16 th inning ? | 0general |
when 2 is added to half of one - third of one - fifth of a number , the result is one - fifteenth of the number . find the number ? | 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 perimeter of a triangle is 32 cm and the inradius of the triangle is 3.5 cm . what is the area of the triangle ? | 3geometry |
if circles x and y have the same area and circle x has a circumference of 10 π , half of the radius of circle y is : | 3geometry |
how many positive integers , from 2 to 100 , inclusive , are not divisible by even integers greater than 1 ? | 0general |
how many terminating zeroes does 200 ! have ? | 5other |
two airplanes fly the same exact route from atlanta to chicago . plane a flies 200 mph while plane b flies 300 mph ( assume that simple model versus actual acceleration / deceleration near the airports ) . if plane a took off exactly 40 minutes before plane b , after how many minutes will plane b overtake plane a ? | 0general |
a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 11 per item . if the manufacturer ’ s selling price per item is $ 15 , how many items the manufacturer produce and sell to earn an annual profit of $ 150,000 ? | 0general |
the area of a parallelogram is 450 sq m and its altitude is twice the corresponding base . then the length of the base is ? | 3geometry |
a math teacher has 32 cards , each of which is in the shape of a geometric figure . half of the cards are rectangles , and a third of the cards are rhombuses . if 8 cards are squares , what is the maximum possible number of cards that re circles . | 3geometry |
in one hour , a boat goes 15 km along the stream and 5 km against the stream . the speed of the boat in still water ( in km / hr ) is : | 1physics |
find the least number which when divided by 20 , 2535 and 40 leaves remainders 14 , 1929 and 34 respectively . | 0general |
bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 28 white marbles . how many red marbles could be in bag a ? | 5other |
when average age of 22 members are 0 , how many members greater than 0 ? | 0general |
if 10 spiders make 5 webs in 5 days , then how many days are needed for 1 spider to make 1 web ? | 1physics |
in a certain egg - processing plant , every egg must be inspected , and is either accepted for processing or rejected . for every 96 eggs accepted for processing , 4 eggs are rejected . if , on a particular day , 12 additional eggs were accepted , but the overall number of eggs inspected remained the same , the ratio of those accepted to those rejected would be 99 to 1 . how many e eggs does the plant process per day ? | 0general |
ram and shakil run a race of 2000 m . first ram gives shakil a start of 200 m and beats him by 1 minute . next ram gives shakil a start of 6 min and is beaten by 1000 meters . find the time in minutes in which ram and shakil can run the race seperately . | 1physics |
ravi and kavi start a business by investing â ‚ ¹ 4000 and â ‚ ¹ 72000 , respectively . find the ratio of their profits at the end of year . | 2gain |
108 . triangle a ’ s base is 12 % greater than the base of triangle b , and a ’ s height is 12 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ? | 3geometry |
two airplanes take off from one airfield at noon . one flies due east at 204 miles per hour while the other flies directly northeast at 283 miles per hour . approximately how many miles apart are the airplanes at 2 p . m . ? | 1physics |
the triplicate ratio of 2 : 5 is ? | 5other |
how many two - digit numbers that do not contain the digits 1 or 4 are there ? | 0general |
marla starts running around a circular track at the same time nick starts walking around the same circular track . marla completes 10 laps around the track per hour and nick completes 5 laps around the track per hour . how many minutes after marla and nick begin moving will marla have completed 4 more laps around the track than nick ? | 1physics |
the average expenditure of a labourer for 6 months was 75 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income i | 0general |
dick and jane each saved $ 2,500 in 1989 . in 1990 dick saved 9 percent more than in 1989 , and together he and jane saved a total of $ 5200 . approximately what percent less did jane save in 1990 than in 1989 ? | 0general |
seed mixture x is 40 % ryegrass and 60 % bluegrass by weight ; seed mixture y is 25 % ryegrass and 75 % fescue . if a mixture of x and y contains 31 % ryegrass , what percent of the weight of the mixture is from mixture x ? | 2gain |
in a tree , 3 / 7 of the birds are parrots while the rest are toucans . if 2 / 3 of the parrots are female and 7 / 10 of the toucans are female , what fraction of the birds in the tree are male ? | 0general |
income and expenditure of a person are in the ratio 10 : 8 . if the income of the person is rs . 10000 , then find his savings ? | 5other |
in a school with 600 students , the average age of the boys is 12 years and that of the girls is 11 years . if the average age of the school is 11 years 9 months , then the number of girls in the school is | 0general |
when sold at a 50 % discount , a sweater nets the merchant a 40 % profit on the wholesale cost at which he initially purchased the item . by what % is the sweater marked up from wholesale at its normal retail price ? | 2gain |
one fourth of a solution that was 12 % sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent sugar by weight ? | 2gain |
a palindrome is a number that reads the same forward and backward , such as 144 . how many odd , 4 - digit numbers are palindromes ? | 0general |
a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 30 - sided polygon have ? | 3geometry |
a batsman makes a score of 66 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ? | 0general |
find the value of e from ( 14 ) ^ 2 x 5 ^ 3 ã · 568 = e . | 0general |
a cube of side one meter length is cut into small cubes of side 5 cm each . how many such small cubes can be obtained ? | 1physics |
if 0.75 of a number is equal to 0.025 of another number , the ratio of the numbers is : | 5other |
a company has two models of computers , model x and model y . operating at a constant rate , a model x computer can complete a certain task in 60 minutes and a model y computer can complete the same task in 30 minutes . if the company used the same number of each model of computer to complete the task in 1 minute , how many model x computers were used ? | 2gain |
a certain number of men can do a work in 40 days . if there were 5 men less it could be finished in 10 days more . how many men are there ? | 1physics |
mike earns $ 12 per hour and phil earns $ 6 per hour . approximately how much less , as a percentage , does phil earn than mike per hour ? | 0general |
a can do a job in 45 days and b can do it in 30 days . a and b working together will finish four times the amount of work in - - - - - - - days ? | 1physics |
a certain bus driver is paid a regular rate of $ 14 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 982 in total compensation , how many total hours did he work that week ? | 0general |
the least number which when divided by 3 , 4 , 5 and 8 leaves a remainder 3 , but when divided by 9 leaves no remainder , is | 0general |
70 + 5 * 12 / ( 180 / 3 ) = ? | 0general |
the length of the rectangular field is double its width . inside the field there is square shaped pond 4 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ? | 3geometry |
14 men can complete a piece of work in 25 days . in how many days can 20 men complete that piece of work ? | 1physics |
a train leaves mumabai at 9 am at a speed of 40 kmph . after one hour , another train leaves mumbai in the same direction as that of the first train at a speed of 50 kmph . when and at what distance from mumbai do the two trains meet ? | 1physics |
reduce 368 / 598 to the lowest terms | 0general |
a , b and c started a partnership business by investing rs . 5000 , rs . 8000 , rs . 9000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ? | 2gain |
5 n + 2 > 12 and 7 n - 5 < 37 ; n must be between which numbers ? | 0general |
a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 5 % dividend at the end of the year , then how much does he get ? | 2gain |
two isosceles triangles have equal vertical angles and their areas are in the ratio 16 : 49 . find the ratio of their corresponding heights . | 3geometry |
two numbers are respectively 50 % and 100 % more than a third number . the percentage that is first of the second is ? | 2gain |
if an object travels 300 feet in 5 seconds , what is the object ' s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet ) | 1physics |
rs . 875 becomes rs . 956 in 3 years at a certain rate of simple interest . if the rate of interest is increased by 4 % , what amount will rs . 875 become in 3 years ? | 2gain |
0.003 * ? * 0.0003 = 0.00000027 | 0general |
a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3400 , a will get : | 1physics |
what will be the reminder when ( 19 ^ 19 + 19 ) is divided by 20 ? | 0general |
a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 12 % . their gross income from sales for one month increases by what percent ? | 2gain |
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