Problem stringlengths 5 967 | category class label 6
classes |
|---|---|
find 96 × × 98 | 0general |
a person ' s present age is two - fifth of the age of his mother . after 8 years , he will be one - half of the age of his mother . how old is the mother at present ? | 0general |
in a box of 10 pens , a total of 3 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ? | 0general |
in 10 years , a will be twice as old as b was 10 years ago . if a is now 9 years older than b , the present age of b is : | 0general |
in the recent , climate conference in new york , out of 700 men , 500 women , 800 children present inside the building premises , 20 % of the men , 40 % of the women and 10 % of the children were indians . find the percentage of people who were not indian ? | 2gain |
a can do a work in 9 days and b can do the same work in 18 days . if they work together , in how many days will they complete the work ? | 1physics |
the sum of the numbers is 660 . if the first number be twice the second and third number be one - third of the first , then the second number is : | 0general |
jim drove 642 miles of a 1200 miles journey . how many more miles does he need to drive to finish his journey ? | 1physics |
working together , jose and jane can complete an assigned task in 30 days . however , if jose worked alone and complete half the work and then jane takes over the task and completes the second half of the task , the task will be completed in 45 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose | 1physics |
two trains are running in opposite directions in the same speed . the length of each train is 120 meter . if they cross each other in 8 seconds , the speed of each train ( in km / hr ) is | 1physics |
the floor of a rectangular room is 17 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is : | 3geometry |
how many cubes of 2 cm edge can be cut out of a cube of 24 cm edge | 4probability |
a sum fetched total simple interest of 4016.25 at the rate of 14 p . c . p . a . in 5 years . what is the sum ? | 2gain |
a train passes a station platform in 36 sec and a man standing on the platform in 21 sec . if the speed of the train is 54 km / hr . what is the length of the platform ? | 1physics |
seed mixture x is 40 % ryegrass and 60 % bluegrass by weight ; seed mixture y is 24 % ryegrass and 75 % fescue . if a mixture of x and y contains 36 % ryegrass , what percent of the weight of the mixture is from mixture x ? | 2gain |
hcf of two numbers is 15 and their lcm is 180 . if their sum is 105 , then the numbers are | 1physics |
lloyd normally works 7.5 hours per day and earns $ 5.50 per hour . for each hour he works in excess of 7.5 hours on a given day , he is paid 1.5 times his regular rate . if lloyd works 10.5 hours on a given day , how much does he earn for that day ? | 1physics |
the cyclist going at a constant rate of 20 miles per hour is passed by a motor - cyclist traveling in the same direction along the same path at 60 miles per hour . the motor - cyclist stops to wait for the cyclist 10 minutes after passing her , while the cyclist continues to travel at constant rate , how many minutes must the motor - cyclist wait until the cyclist catches up ? | 1physics |
how many 4 digit numbers divisible by 4 can be made with digits 1 , 2 , 3 , 4 , 5 if the repetition of digits is not allowed ? | 0general |
x and y are positive integers . when x is divided by 17 , the remainder is 3 , and when x is divided by 19 , the remainder is 1 . when y is divided by 14 , the remainder is 5 , and when y is divided by 21 , the remainder is 12 . what is the least possible value of y - x ? | 0general |
how many hours are there in 1200 minutes ? | 1physics |
how many terminating zeroes t does 200 ! have ? | 5other |
brindavan express leave chennai central station every day at 07.50 am and goes to bangalore city railway station . this train is very popular among the travelers . on 25 th july 2012 number of passengers traveling by i class and ii class was in the ratio 1 : 4 . the fare for this travel is in the ratio 3 : 1 . the total fare collected was rs . 224000 / . ( rs . two lakhs 20 4 1000 only ) . what was the fare collected from i class passengers on that day ? | 0general |
worker a takes 5 hours to do a job . worker b takes 15 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ? | 1physics |
there are 14 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ? | 1physics |
in a theater , the first row has 12 seats and each row has 2 more seats than previous row . if the last row has 48 seats , what is the total number of seats in the theater ? | 0general |
the average age of a family of 6 members is 22 years . if the age of the youngest member is 7 years , what was the average age of the family at the birth of the youngest member ? | 0general |
in a certain diving competition , 5 judges score each dive on a scale from 1 to 10 . the point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty . if a dive with a degree of difficulty of 3.2 received scores of 7.5 , 8.1 , 9.0 , 6.0 , and 8.5 , what was the point value of the dive ? | 0general |
calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 20 % and its breadth is decreased by 5 % ? | 3geometry |
how many differently shaped triangles exist in which no two sides are of the same length , each side is of integral unit length and the perimeter of the triangle is less than 14 units ? | 3geometry |
a swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side . its volume is ? | 1physics |
a man has rs . 10350 in the form of rs . 50 notes and rs . 500 notes . the total number of notes are 54 . find the number of notes of rs . 50 denomination . | 0general |
one - third less than 15 % of 180 is equal to : | 0general |
evaluate 2.5 / . 0005 | 0general |
tom opened a shop investing rs . 30000 . jose joined him 2 months later , investing rs . 45000 . they earned a profit of rs . 63000 after completion of one year . what will be jose ' s share of profit ? | 2gain |
a wooden cube whose edge length is 5 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least one red face ? | 3geometry |
in may mrs lee ' s earnings were 60 percent of the lee family ' s total income . in june mrs lee earned 40 percent more than in may . if the rest of the family ' s income was the same both months , then , in june , mrs lee ' s earnings were approximately what percent of the lee family ' s total income ? | 0general |
if bill can buy 3 pairs of jeans and 2 shirts for $ 69 or 2 pairs of jeans and 3 shirts for $ 86 , how much does one shirt cost ? | 0general |
if the cost price of 17 articles is same as the selling price of 25 articles . find the gain or loss percentage ? | 2gain |
tough and tricky questions : word problems . if bill ' s salary increased by 16 percent , he would earn $ 812 per month . if instead , his salary were to increase by only 10 percent , how much money r would he earn per month ? | 0general |
a trader sells 85 meters of cloth for rs . 8925 at the profit of rs . 25 per metre of cloth . what is the cost price of one metre of cloth ? | 1physics |
an aeroplane covers a certain distance of 480 kmph in 4 hours . to cover the same distance in 4 1 / 3 hours , it must travel at a speed of | 1physics |
tough and tricky questions : decimals . the value of x is derived by summing a , b , and c and then rounding the result to the tenths place . the value of y is derived by first rounding a , b , and c to the tenths place and then summing the resulting values . if a = 5.45 , b = 2.95 , and c = 3.74 , what is y – x ? | 0general |
a train covers a distance of 20 km in 30 min . if it takes 18 sec to pass a telegraph post , then the length of the train is ? | 1physics |
the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 500 resolutions ? | 1physics |
12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 16 cm height . what is the diameter of each sphere ? | 1physics |
the ratio of the ages of mini and minakshi is 4 : 3 . the sum of their ages is 35 years . the ratio of their ages after 8 years will be | 0general |
one fourth of a solution that was 15 % salt 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 salt by weight ? | 2gain |
[ 1 / ( 1 . 2.3 ) ] + [ 1 / ( 2 . 3.4 ) ] + [ 1 / ( 3 . 4.5 ) ] + [ 1 / ( 4 . 5.6 ) ] is equal to | 0general |
a ’ s speed is 21 / 19 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? | 0general |
2.01 ã — 0.001 = ? | 0general |
if there are half as many women as men in a group and an equal number of men and women do not own cars - a group that is 40 % of the total . what fraction of the total is women who own cars ? | 0general |
the total population of city a and city b is 5000 more than the total population of city b and city c . how much lesser is the population in city c as compared to city a ? | 0general |
the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 294 sq . cm , what is the length of the rectangle ? | 3geometry |
the length of the bridge , which a train 250 metres long and travelling at 72 km / hr can cross in 30 seconds , is : | 1physics |
some of the 50 % solution of acid was removed and this was replaced with an equal amount of 14 % solution of acid . as a result , a 23 % solution of acid was obtained . what fraction of the original solution was replaced ? | 2gain |
if 7 spiders make 7 webs in 7 days , then 1 spider will make 1 web in how many days ? | 1physics |
if p ' s height is 40 % less than that of q , how much percent q ' s height is more than that of p ? | 0general |
a can finish a piece of work in 12 days . b can do it in 20 days . they work together for 9 days and then a goes away . in how many days will b finish the work ? | 1physics |
if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 120 games will be played during the tournament . find the number of participants . | 0general |
a parking garage rents parking spaces for $ 10 per week or $ 35 per month . how much does a person save in a year by renting by the month rather than by the week ? | 0general |
the cost of the paint is rs . 40 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 30 feet each side | 3geometry |
a rectangular lawn 55 m by 35 m has two roads each 4 m wide running in the middle of it . one parallel to the length and the other parallel to breadth . the cost of graveling the roads at 75 paise per sq meter is | 1physics |
the sum of four consecutive even numbers is 52 , find the third number ? | 1physics |
earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 60 envelopes | 1physics |
if 5395 / 4.15 = 1300 , then 539.5 / 41.5 is equal to ? | 0general |
in a certain math department , students are required to enroll in either calculus or trigonometry , each of which is offered in beginner and advanced courses . the number of students enrolled in trigonometry is 50 % greater than the number of students enrolled in calculus , and 80 % of calculus students are enrolled in the beginner course . if 4 / 5 of students are in the beginner courses , and one student is selected at random , what is the probability that an advanced trigonometry student is selected ? | 2gain |
pipe a can fill a tank in 15 minutes and pipe b cam empty it in 24 minutes . if both the pipes are opened together after how many minutes should pipe b be closed , so that the tank is filled in 30 minutes ? | 1physics |
a train starts full of passengers at the first station it drops 1 / 3 of the passengers and takes 280 more at the second station it drops one half the new total and takes 12 more . on arriving at the third station it is found to have 242 passengers . find the no of passengers in the beginning ? | 0general |
a farming field can be ploughed by 6 tractors in 4 days . when 6 tractors work together , each of them ploughs 120 hectares a day . if two of the tractors were moved to another field , then the remaining 4 tractors could plough the same field in 5 days . how many hectares a day would one tractor plough then ? | 1physics |
o ( x ) represents the least odd integer greater than x , whereas o ( x ) represents the greatest odd integer less than x . likewise , e ( x ) represents the least even integer greater than x , whereas e ( x ) represents the greatest even integer less than x . according to these definitions , the value of o ( 3.2 ) + e ( – 1.7 ) + o ( – 3.3 ) + e ( 4.7 ) is : | 0general |
a mixture of 125 gallons of wine and water contains 20 % of water . how much water must be added to the mixture in order to increase the percentage of water to 25 % of the new mixture ? | 0general |
barbata invests $ 3000 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ? | 0general |
the price of a jacket is reduced by 15 % . during a special sale the price of the jacket is reduced another 30 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ? | 2gain |
village p ’ s population is 800 greater than village q ' s population . if village q ’ s population were reduced by 700 people , then village p ’ s population would be 7 times as large as village q ' s population . what is village q ' s current population ? | 0general |
half of the workers in palabras bookstore have read the latest book by j . saramago , and 5 / 8 of the workers have read the latest book by h . kureishi . the number of workers that have read neither book is one less than the number of the workers that have read the latest saramago book and have not read the latest kureishi book . if there are 56 workers in the palabras bookstore , how many of them have read both books ? | 5other |
for integers x and y , if ( x + 2 ) ( y + 3 ) is even then 4 xy must be divisible by : | 0general |
two integers are in the ratio of 1 to 3 . if 10 is added to the smaller number , the ratio becomes 1 to 1 . find the larger integer . | 5other |
how many integers are divisible by 9 between 10 ! and 10 ! + 100 inclusive ? | 0general |
if x and y are multiples of 2 then which are all the multiples of 2 1 ) x * y 2 ) x ^ y 3 ) x + y 4 ) x - y 5 ) x / y | 0general |
the ratio of number of boys and girls in a school is 2 : 5 . if there are 490 students in the school , find the number of girls in the school ? | 5other |
the average height of 15 girls out of a class of 30 is 152 cm . and that of the remaining girls is 156 cm . the average height of the whole class is : | 0general |
a cylinder of height h is 6 / 7 of water . when all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder , the new cylinder is 3 / 5 full . the height of the new cylinder is what percent of h ? | 2gain |
a sum was put a simple interest at a certain rate for 1 years . had it been put at 6 % higher rate , it would have fetched rs . 30 more . the sum is : | 2gain |
of the 19,210 employees of the anvil factory , 2 / 7 are journeymen . if half of the journeymen were laid off , what percentage of the total remaining employees would be journeymen ? | 0general |
two trains are moving in opposite directions @ 60 kmph and 90 kmph . their length are 1.10 km and 0.9 km . the time taken by the slower train to cross faster train in second is ? | 1physics |
how many integers are between 9 and 67 / 5 , inclusive ? | 0general |
total 36 matches are conducted in knockout match type . how many players will be participated in that tournament ? | 0general |
a pipe can empty 3 / 4 th of a cistern in 12 mins . in 8 mins , what part of the cistern will be empty ? | 1physics |
benny goes to the market for buying some apples to be distributed between her 9 kids equally . she takes 360 dollars with her . the cost of each apple is 2 dollars . how many apples does she buy to share them equally between her 6 kids ? | 0general |
in one year , the population , of a village increased by 12 % and in the next year , it decreased by 12 % . if at the end of 2 nd year , the population was 14784 , what was it in the beginning ? | 0general |
a grocer has a sale of rs . 5266 , rs . 5744 , rs . 5864 , rs . 6122 and rs . 6588 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5750 ? | 0general |
in a house a hall is 20 m long , 15 m wide and 5 m high . its interior has to be covered with mat . what will be the total expenditure if it costs rs . 20 per square m ? | 0general |
a shipment of 220 smartphones contains 84 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ? | 5other |
after decreasing 20 % in the price of an article costs rs . 600 . find the actual cost of an article ? | 2gain |
the average score of a cricketer in 2 matches is 27 and in other 3 matches is 32 . then find the average score in all the 5 matches ? | 0general |
the number of singles that a baseball player hit increased 18 percent from her first season to her second season , and the number of doubles that she hit in the same time period decreased by 6 percent . if the total number of singles and doubles that she hit increased 3 percent from her first season to her second season , what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season ? | 0general |
if a and d are both integers , a > d , and - 3 c > 19 , then the largest value of d would be ? | 5other |
huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 6 inches on a side and costs $ 10 , and a large pizza that measures 9 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ? | 3geometry |
a reduction of 20 % in the price of salt enables a lady to obtain 20 kgs more for rs . 100 , find the original price per kg ? | 2gain |
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