Problem stringlengths 5 967 | category class label 6
classes |
|---|---|
653 ã — 1001 = ? | 0general |
pascal has 96 miles remaining to complete his cycling trip . if he reduced his current speed by 4 miles per hour , the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50 % . what is his current speed x ? | 1physics |
at a certain college , 50 percent of the total number of students are freshmen . if 40 percent of the fresh - men are enrolled in the school of liberal arts and , of these , 20 percent are psychology majors , what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal ar... | 0general |
what will be the difference between simple and compound interest at 10 % per annum on a sum of rs . 1000 after 4 years ? | 2gain |
60 percent of movie theatres in town x have 3 screens or less . 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing . 50 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing . what percent of all the stores on the street have 4 or more screens and sell... | 0general |
a train 200 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ? | 1physics |
if there are 156 laborers in a crew , and on a certain day , 70 were present . calculate the percentage that showed up for work ? ( round to the nearest tenth ) . | 1physics |
a work can be finished in 16 days by 30 women . the same work can be finished in 10 days by sixteen men . the ratio between the capacity of a man and a woman is | 1physics |
the ratio of numbers is 4 : 5 and their h . c . f is 4 . their l . c . m is : | 5other |
length of a rectangular plot is 12 mtr more than its breadth . if the cost of fencing the plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ? | 1physics |
two trains start at same time from two stations and proceed towards each other at the rate of 20 km / hr and 25 km / hr respectively . when they meet , it is found that one train has traveled 65 km more than the other . what is the distance between the two stations ? | 0general |
what is the length of a bridge ( in meters ) , which a train 140 meters long and travelling at 45 km / h can cross in 30 seconds ? | 1physics |
a train crosses a platform of 140 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ? | 1physics |
what is the sum of the integers from - 170 to 171 , inclusive ? | 0general |
if 7 boys meet at a reunion and each boy shakes hands exactly once with each of the others , then what is the total number of handshakes | 0general |
a sum was put a simple interest at a certain rate for 3 years . had it been put at 3 % higher rate , it would have fetched rs . 90 more . the sum is : | 2gain |
at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 8.50 + 0.25 ( s – 1 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1... | 0general |
find the ratio in which rice at rs . 7.00 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg | 5other |
if the lcm and hcf of 4 and another number is 36 and 2 respectively . find the other number ? | 1physics |
a certain car uses one gallon of gasoline every 40 miles when it travels on highway , and one gallon of gasoline every 20 miles when it travels in the city . when a car travels 4 miles on highway and 4 additional miles in the city , it uses what percent more gasoline than if it travels 8 miles on the highway ? | 0general |
a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 864 in 4 years . the sum is : | 2gain |
the breadth of a rectangular hall is two - thirds of its length . if the area of the hall is 2400 sq metres , what is the length in metres ? | 3geometry |
if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 166 m , what is its area ? | 3geometry |
a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 5.50 . if the company ’ s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ? | 0general |
find √ ? / 18 = 4 ? | 0general |
the population of a city increases by 6 % per year but due to migration it decrease by 1 % per years . what will be the percentage increase in population in 3 years ? | 0general |
find the average of all the numbers between 6 and 34 which are divisible by 6 . | 0general |
a can do a piece of work in 3 hours ; b and c together can do it in 2 hours , which a and c together can do it in 2 hours . how long will b alone take to do it ? | 1physics |
two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 9 hours and 16 hours respectively . the ratio of their speeds is ? | 1physics |
at what rate percent on simple interest will rs . 650 amount to rs . 950 in 5 years ? | 2gain |
a boy multiplied 987 by a certain number and obtained 559981 as his answer . if in the answer both 98 are wrong and the other digits are correct , then the correct answer would be : | 5other |
when leo imported a certain item , he paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1000 . if the amount of the import tax that leo paid was $ 87.50 , what was the total value of the item ? | 0general |
the annual interest rate earned by an investment increased by 6 percent from last year to this year . if the annual interest rate earned by the investment this year was 15.90 percent , what was the annual interest rate last year ? | 2gain |
john and steve are speed walkers in a race . john is 12 meters behind steve when he begins his final push . john blazes to the finish at a pace of 4.2 m / s , while steve maintains a blistering 3.7 m / s speed . if john finishes the race 2 meters ahead of steve , how long was john ’ s final push ? | 1physics |
i chose a number and divide it by 6 . then i subtracted 189 from the result and got 3 . what was the number i chose ? | 0general |
a sum was put at simple interest at a certain rate for 10 years . had it been put at 5 % higher rate , it would have fetched rs . 400 more . what was the sum ? | 2gain |
a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 26 m * 2 m * 0.75 m ? | 1physics |
the product of two successive numbers is 462 . which is the smaller of the two numbers ? | 0general |
in a group of ducks and cows , the total number of legs are 30 more than twice the number of heads . find the total number of cows . | 0general |
two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 36 seconds . the length of each train is ? | 0general |
if a ' s height is 25 % less than that of b , how much percent b ' s height is more than that of a ? | 0general |
the tax on a commodity is diminished by 24 % but its consumption is increased by 12 % . find the decrease percent in the revenue derived from it ? | 0general |
a and b can do a piece of work in 6 2 / 3 days and 5 days respectively . they work together for 2 days and then a leaves . in how many days after that b will complete the work alone . | 1physics |
convert the 13 / 48 m / s into kilometers per hour ? | 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 |
there is a total of 90 marbles in a box , each of which is red , green , blue , or white . if one marble is drawn from the box at random , the probability that it will be white is 1 / 6 and the probability that it will be green is 1 / 5 . what is the probability that the marble will be either red or blue ? | 0general |
what is the average of first 21 multiples of 7 ? | 0general |
uncle bruce is baking chocolate chip cookies . he has 36 ounces of dough ( with no chocolate ) and 14 ounces of chocolate . how many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate ? | 2gain |
at 6 ′ o a clock ticks 6 times . the time between first and last ticks is 25 seconds . how long does it tick at 12 ′ o clock | 1physics |
a number is said to be prime saturated if the product of all the different positive prime factors of q is less than the square root of q . what is the greatest two digit prime saturated integer ? | 5other |
two men a and b start from place x walking at 4 ½ kmph and 5 ¾ kmph respectively . how many km apart they are at the end of 2 ½ hours if they are walking in the same direction ? | 1physics |
if an object travels at 85 feet per second , how many feet does it travel in 30 minutes ? | 1physics |
if a person walks at 14 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance traveled by him is : | 0general |
in a certain archery competition , points were awarded as follows : the first place winner receives 11 points , the second place winner receives 7 points , the third place winner receives 5 points and the fourth place winner receives 2 points . no other points are awarded . john participated several times in the compet... | 0general |
300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store . 60 % of the customers in the survey had purchased clothes for less than $ 100 . 40 % of the customers in the survey reported they were overall satisfied with their purchase . 15 % of the customers t... | 0general |
the average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 62 kg . what is the correct weight ? | 0general |
34 men can complete a piece of work in 18 days . in how many days will 17 men complete the same work ? | 1physics |
the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 60 kg . what might be the weight of the new person ? | 0general |
the perimeter of one square is 48 cm and that of another is 24 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? | 3geometry |
if a certain number when divided by the numbers 5 , 32 one after other successively , leaves a remainder 0 , 21 then what will be the remainders if it is divided by the numbers 2 , 35 | 0general |
p and q invested in a business . the profit earned was divided in the ratio 2 : 3 . if p invested rs 30000 , the amount invested by q is | 2gain |
the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30 . what is the original number q ? | 0general |
a man is 30 years older than his son . in two years , his age will be twice the age of his son . what is the present age of his son ? | 0general |
what is the value of ( 4 ) ^ - 6 ? | 0general |
machine x takes 60 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce | 0general |
the average mark of the students of a class in a particular exam is 80 . if 5 students whose average mark in that exam is 20 are excluded , the average mark of the remaining will be 90 . find the number of students who wrote the exam . | 0general |
a train running at the speed of 52 km / hr crosses a pole in 9 seconds . find the length of the train ? | 1physics |
what is the remainder when 1234 * 6789 * 1111 is divided by 19 | 0general |
how many 1 / 4 s are there in 37 1 / 2 ? | 0general |
if x : y = 2 : 9 , find the value of ( 2 x + 2 y ) : ( 5 x – y ) | 0general |
for each 6 - month period during a light bulb ' s life span , the odds of it not burning out from over - use are half what they were in the previous 6 - month period . if the odds of a light bulb burning out during the first 6 - month period following its purchase are 1 / 8 , what are the odds of it burning out during ... | 0general |
a train 360 m long is running at a speed of 90 km / hr . in what time will it pass a bridge 140 m long ? | 1physics |
the sale price sarees listed for rs . 200 after successive discount is 20 % and 5 % is ? | 2gain |
the radius of the base of cone is 3 cm and height is 4 cm . find the volume of the cone ? | 3geometry |
bexy walks 5 miles from point a to point b in one hour , then bicycles back to point a along the same route at 15 miles per hour . ben makes the same round trip , but does so at half of bexy ’ s average speed . how many minutes does ben spend on his round trip ? | 1physics |
the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder . what is the smaller number ? | 0general |
running at the same constant rate , 4 identical machines can produce a total of 16 bottles per minute . at this rate , how many bottles could 8 such machines produce in 3 minutes ? | 2gain |
a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 12 , the how old is b ? | 0general |
how many digits are required to number a book containing 300 pages ? | 0general |
natasha climbs up a hill , and descends along the same way she went up . it takes her 4 hours to reach the top and 2 hours to come back down . if her average speed along the whole journey is 4 kilometers per hour , what was her average speed ( in kilometers per hour ) while climbing to the top ? | 1physics |
there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 36 , then find the smaller number ? | 5other |
if x = 1 - q and y = 2 q + 1 , then for what value of q , x is equal to y ? | 0general |
if rs . 782 be divided into 3 parts , proportional to 1 / 2 : 2 / 3 : 3 / 4 , then the third part is ? | 0general |
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.65 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 250 ? | 0general |
a start walking from a place at a uniform speed of 5 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of b . | 1physics |
the length of the bridge , which a train 110 m long and traveling at 45 km / hr can cross in 30 sec is ? | 1physics |
a jar contains only red , yellow , and orange marbles . if there are 3 red , 7 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? | 4probability |
if 2 / z = 2 / ( z + 1 ) + 2 / ( z + 49 ) which of these integers could be the value of z ? | 0general |
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 . 35,000 , what will be the amount a receives ? | 0general |
if t = 5 / 9 * ( k - 32 ) , and if t = 75 , then what is the value of k ? | 0general |
( 0.0077 ) ( 4.5 ) / ( 0.05 ) ( 0.1 ) ( 0.007 ) = | 0general |
if the wheel is 14 cm then the number of revolutions to cover a distance of 2904 cm is ? | 1physics |
jerry went to a shop and bought things worth rs . 25 , out of which 30 $ went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ? | 2gain |
the average age of a class of 25 students is 19 years . the average increased by 2 when the teacher ' s age also included . what is the age of the teacher ? | 0general |
two spherical balls lie on the ground touching . if one of the balls has a radius of 6 cm , and the point of contact is 10 cm above the ground , what is the radius of the other ball ( in centimeters ) ? | 1physics |
of 70 players on a football team , 40 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? | 0general |
of the 13 employees in a certain department , 1 has an annual salary of 38000 , 2 have an annual salary of 45700 each , 2 have an annual salary of 42500 each , 3 have an annual salary of 40000 each and 5 have an annual salary of 48500 each . what is the median annual salary for the 13 employees ? | 0general |
average monthly income of a family of 4 earning members was rs . 735 . one of the earning members died and therefore , the average income came down to rs 650 . the income of the deceased was ? | 0general |
a car travels a certain distance taking 7 hrs in forward journey , during the return journey increased speed 12 km / hr takes the times 5 hrs . what is the distance traveled | 0general |
a searchlight on top of the watch - tower makes 1 revolutions per minute . what is the probability that a man appearing near the tower will stay in the dark for at least 20 seconds ? | 1physics |
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