Problem stringlengths 5 967 | category class label 6
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the price of lunch for 20 people was $ 300 including a 20 % gratuity for service . what was the average price per person , excluding the gratuity ? | 0general |
the size of a flat - screen television is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 28 - inch flat - screen television than a square 25 - inch flat - screen television ? | 3geometry |
the sector of a circle has radius of 14 cm and central angle 144 o . find its perimeter ? | 1physics |
a number is doubled and 4 is added . if the resultant is divided by 5 , it becomes 25 . what is that number ? | 0general |
chris mixed 4 pounds of raisins with 4 pounds of nuts . if a pound of nuts costs 3 times as much as a pound of raisins , then the total cost of the raisins was what fraction of the total cost of the mixture ? | 0general |
how many 3 digit numbers are divisible by 6 in all ? | 0general |
1907 x 1907 = ? | 0general |
an amount of rs . 3120 was divided among a , b and c , in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of c ? | 0general |
a certain company ’ s profit in 1996 was 10 percent greater than its profit in 1995 , and its profit in 1997 was 20 percent greater than its profit in 1996 . the company ’ s profit in 1997 was what percent greater than its profit in 1995 ? | 2gain |
if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 11 . | 0general |
an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 8 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? | 5other |
in a caravan , in addition to 50 hens , there are 45 goats and 8 camels with some keepers . if the total number of feet be 224 more than the number of heads in the caravan , the number of keepers is | 0general |
a 1500 m long train crosses a tree in 120 sec , how much time will it take to pass a platform 500 m long ? | 1physics |
n is a positive integer . when n + 1 is divided by 6 , the remainder is 4 . what is the remainder when n is divided by 2 ? | 0general |
a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? | 3geometry |
if 9 / ( 5 + 3 / x ) = 1 , then x = | 0general |
if price of t . v set is reduced by 25 % , then its sale increases by 75 % , find net effect on sale value | 2gain |
25 , 50 , 100 , 175 , 275 , ( . . . . ) | 0general |
15 men take 21 days of 8 hrs . each to do a piece of work . how many days of 9 hrs . each would it take for 21 women if 3 women do as much work as 2 men ? | 1physics |
kathleen can paint a room in 3 hours , and anthony can paint an identical room in 4 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ? | 1physics |
how many prime numbers are between 25 / 8 and 213 / 6 ? | 0general |
on the number line , the number p is twice as many units from - 2 as - 2 is from 4 . if p is less than – 2 , what is the value of p ? | 0general |
two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 1 : 2 and 3 : 1 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel . | 5other |
a bus travels first half distance between two places with a speed of 40 kmph and the rest half distance with a speed of 60 kmph . the average speed of the bus is ? | 1physics |
in a hostel there were 100 students . to accommodate 20 more students the average is decreased by rupees 5 . but total expenditure increased by rs . 400 . find the total expenditure of the hostel now ? | 0general |
the ratio between the number of passengers travelling by i and ii class between the two railway stations is 1 : 50 , whereas the ratio of i and ii class fares between the same stations is 3 : 1 . if on a particular day rs . 1,325 were collected from the passengers travelling between these stations , then what was the amount collected from the ii class passengers ? | 5other |
a , b , c subscribe rs . 50,000 for a business . if a subscribes rs . 4000 more than b and b rs . 5000 more than c , out of a total profit of rs . 38,000 , what will be the amount a receives ? | 0general |
( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 4.0 = ? | 0general |
if â € œ * â € is called â € œ + â € , â € œ / â € is called â € œ * â € , â € œ - â € is called â € œ / â € , â € œ + â € is called â € œ - â € . 120 / 40 â € “ 30 * 20 - 5 = ? | 0general |
the hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle . the shorter side of the triangle is 7 centimeters less than the longer side . find the length of the hypotenuse . | 3geometry |
how long does a train 120 m long running at the speed of 70 km / hr takes to cross a bridge 145 m length ? | 1physics |
if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 650 , what is the least possible value of n ? | 0general |
a rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered . if the area of the field is 600 sq . ft , how many feet of fencing will be required ? | 3geometry |
two employees x and y are paid a total of rs . 560 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? | 0general |
calculate the sum of first 28 natural numbers . | 0general |
when tossed , a certain coin has equal probability of landing on either side . if the coin is tossed 4 times , what is the probability that it will land on the same side each time ? | 4probability |
trapezoid jklm in the x - y plane has coordinates j = ( – 2 , – 3 ) , k = ( – 2 , 1 ) , l = ( 6 , 7 ) , and m = ( 6 , – 3 ) . what is its perimeter ? | 1physics |
the c . p of 8 books is equal to the s . p of 16 books . find his gain % or loss % ? | 2gain |
a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 5000 as profit , what is their total profit ? | 0general |
a can do a work in 6 days , b can do a work in 8 days and c can do it in 12 days . b left work after 1 day . for how many number of days should a and c should work together to complete the remaining work ? | 1physics |
the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 7 : 4 : 3 . someone removes 6 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ? | 5other |
a bag consists of 50 marbles , of which 5 are blue , 9 are red , and the remainder are white . if lisa is to select a marble from the bag at random , what is the probability that the marble will be red or white ? | 4probability |
how many integers between 100 and 200 , inclusive , can not be evenly divided by 3 nor 5 ? | 0general |
for the positive integers x , x + 2 , x + 4 , x + 7 , and x + 22 , the mean is how much greater than the median ? | 0general |
pavan travelled for 11 hours . he covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph . find the distance travelled by pavan ? | 1physics |
3 / 4 of 1 / 2 of 2 / 5 of 5100 = ? | 0general |
in order to obtain an income of rs . 900 from 20 % stock at rs . 102 , one must make an investment of | 2gain |
what is the value of ( p + q ) / ( p - q ) if p / q is 10 ? | 0general |
if the price of a certain bond on may 1 st was 1 / 2 the price of the bond on june 1 st and the price of the bond on july 1 st was 50 % greater than the price of the bond on may 1 st . then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1 st ? | 0general |
an investment compounds annually at an interest rate of 33.34 % what is the smallest investment period by which time the investment will more than triple in value ? | 2gain |
a no . when divided by 220 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 67 ? | 0general |
a and b ’ s salaries together amount to rs . 3,000 . a spends 95 % of his salary and b spends 85 % of his . if now their savings are the same , what is b ’ s salary ? | 2gain |
ritesh and co . generated revenue of rs . 1,700 in 2006 . this was 12.5 % of its gross revenue . in 2007 , the gross revenue grew by rs . 2,500 . what is the percentage increase in the revenue in 2007 ? | 2gain |
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1120 ? | 0general |
the radius of a cylindrical vessel is 7 cm and height is 5 cm . find the whole surface of the cylinder ? | 3geometry |
a man took a loan at rate of 12 % per annum simple interest . after 3 years he had to pay 5400 interest . the principal amount borrowed by him was . | 2gain |
in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 12 % . what is population of after 2 year . | 0general |
evaluate : 58 - 12 * 3 * 2 = ? | 0general |
jenny has recently moved house and is working out her optimal commute . she can take an indirect route which involves taking a bus for 1 mile and then walk 0.75 miles . or she can take a direct route and walk for 1.5 miles and this takes her 30 minutes . what is the most amount time that the bus journey can take for jenny to be indifferent between the two routes assuming travel time is her only concern ? | 1physics |
seller selling an apple for rs . 15 , a seller loses 1 / 6 th of what it costs him . the cp of the apple is ? | 0general |
if the volume of a cube is x ^ 3 cubic units , what is the number of square units in the surface area of the cube ? | 3geometry |
the area of a square field is 28808 sq m . how long will a lady take to cross the field diagonally at the rate of 7.2 km / hr ? | 3geometry |
if a town of 35,000 people is growing at a rate of approx . 1 % per year , the population of the town in 5 years will be closest to ? | 2gain |
there are 12 slate rocks , 17 pumice rocks , and 8 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? | 5other |
one day a car rental agency rented 3 / 4 of its cars , including 5 / 6 of its cars with cd players . if 3 / 5 of its cars have cd players , what percent of the cars that were not rented had cd players ? | 0general |
how many words , with or without meaning , can be formed using all letters of the word red using each letter exactly once ? | 0general |
of the 65 cars on a car lot , 30 have air - conditioning , 45 have air bag , and 12 have both air - conditioning and air bag . how many of the cars on the lot have neither air - conditioning nor air bag ? | 5other |
a and b can do a piece of work in 2 days . with the help of c they finish the work in 1 days . c alone can do that piece of work in ? | 1physics |
four machines , each working at the same constant rate , together can complete a certain job in 20 days . how many additional machines , each working at the same constant rate , will be needed to complete the job in 10 days ? | 1physics |
a car gets 32 miles to the gallon . if it is modified to use a solar panel , it will use only 80 percent as much fuel as it does now . if the fuel tank holds 12 gallons , how many more miles will the car be able to travel , per full tank of fuel , after it has been modified ? | 1physics |
john bought 9.25 m of cloth for $ 434.75 . find the cost price per metre . | 1physics |
the average of 60 results is 40 and the average of other 40 results is 60 . what is the average of all the results ? | 0general |
3 , 7,12 , 18,25 , . . . . . . . . . . . . . . 6 th terms | 0general |
a person was asked to state his age in years . his reply was , ` ` take my age 3 years hence , multiply it by 4 and subtract 4 times my age 3 years ago and you will know how old i am . ' ' what was the age of the person ? | 0general |
there are cats got together and decided to kill the mice of 999984 . each cat kills equal number of mice and each cat kills more number of mice than cats there were . then what are the number of cats ? | 0general |
100 kg of an alloy a is mixed with 200 kg of alloy b . if alloy a has lead and tin in the ratio 5 : 3 and alloy b has tin and copper in the ratio 2 : 3 , then the amount of tin in the new alloy is ? | 5other |
a certain automobile company ’ s best - selling model is the speedster . the speedster , like all of their other models , comes in coupe and convertible styles . 1 / 3 of the current inventory is speedsters , of which 4 / 5 are convertibles . if there are 30 vehicles that are not speedsters , how many speedster convertibles are there ? | 1physics |
a group of 55 adults and 70 children go for trekking . if there is meal for either 70 adults or 90 children and if 35 adults have their meal , find the total number of children that can be catered with the remaining food . | 0general |
the monthly rent of a shop of dimension 10 feet × 10 feet is rs . 1300 . what is the annual rent per square foot of the shop ? | 3geometry |
a candidate got 35 % of the votes polled and he lost to his rival by 2280 votes . how many votes were cast ? | 2gain |
it takes 3 workers a total of 9 hours to build a giant machine with each worker working at the same rate . if 3 workers start to build the machine at 11 : 00 am , and one extra worker per hour is added beginning at 2 : 00 pm , at what time will the machine be complete ? | 0general |
the ratio of the volumes of a cube to that of the sphere which will fit inside the cube is ? | 3geometry |
a and b start walking towards each other at 1 pm at speed of 5 kmph and 7 kmph . they were initially 24 km apart . at what time do they meet ? | 1physics |
a train running at the speed of 60 km / hr crosses a pole in 27 seconds . what is the length of the train ? | 1physics |
fresh grapes contain 75 % by weight while dried grapes contain 25 % water by weight . what is the weight of dry grapes available from 200 kg of fresh grapes ? | 2gain |
the ratio of the volumes of two cubes is 1000 : 3375 . what is the ratio of their total surface areas ? | 3geometry |
a man goes into a barbershop and gets a $ 15 haircut . he pays the barber with a $ 20 bill , but the barber does n ' t have change because it is an especially slow day . the barber goes to the flower shop next to his own and trades the $ 20 bill for a $ 10 dollar bill and two $ 5 bills . then he gives the man his $ 5 in change . later the lady from the flower shop confronts the barber and tells him that the $ 20 bill he gave her was counterfeit . the barber agrees and he gives the lady a different $ 20 bill . later that day he tries to figure out how much money he lost . what did he lose ? | 0general |
if the cost price of 72 articles is equal to the selling price of 60 articles , then what is the percent profit ? | 2gain |
of all the homes on gotham street , 1 / 3 are termite - ridden , and 5 / 8 of these are collapsing . what fraction of the homes are termite - ridden , but not collapsing ? | 0general |
what will be the compound interest on a sum of rs . 22,000 after 3 years at the rate of 12 % p . a . ? | 2gain |
of the votes cast on a certain proposal , 68 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . ) | 2gain |
a box is in the shape of a semicircle with a radius of 12 . what is the approximate perimeter of the semicircle ? | 3geometry |
a certain electric - company plan offers customers reduced rates for electricity used between 8 p . m . and 8 a . m . weekdays and 24 hours a day saturdays and sundays . under this plan , the reduced rates x apply to what fraction of a week ? | 1physics |
in traveling from a dormitory to a certain city , a student went 1 / 5 of the way by foot , 2 / 3 of the way by bus , and the remaining 4 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ? | 1physics |
a tree of height 36 m is on one edge of a road broke at a certain height . it fell in such a way that the top of the tree touches the other edge of the road . if the breadth of the road is 12 m , then what is the height at which the tree broke ? | 1physics |
if y is the smallest positive integer such that 3,675 multiplied by y is the square of an integer , then y must be | 3geometry |
if a person walks at 16 km / hr instead of 12 km / hr , he would have walked 20 km more . the actual distance traveled by him is ? | 0general |
a man is 29 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is : | 0general |
the average of 25 results is 18 . the average of first 12 of them is 10 and that of last 12 is 20 . find the 13 th result ? | 0general |
the average weight of a group of boys is 30 kg . after a boy of weight 36 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ? | 0general |
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