Problem stringlengths 5 967 | category class label 6
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if an object travels at ten feet per second , how many feet does it travel in two hours ? | 1physics |
3 medical experts , working together at the same constant rate , can write an anatomy textbook in 24 days . how many additional experts , working together at this same constant rate , are needed to write the textbook in 18 days ? | 1physics |
the value of ( 34.31 * 0.473 * 1.567 ) / ( 0.0673 * 23.25 * 7.57 ) is close to | 0general |
the cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paise per meter is rs . 36 . the breadth of the room is ? | 1physics |
an aeroplane covers a certain distance of 590 kmph in 8 hours . to cover the same distance in 2 3 / 4 hours , it must travel at a speed of | 1physics |
a work can be completed by 12 boys in 24 days and 12 girls in 12 days . in how many days would the 6 boys and 6 girls working together complete the work ? | 1physics |
walking at 75 % of his usual speed a man takes 24 minutes more to cover a distance . what is his usual time to cover this distance ? | 1physics |
anusha , banu and esha run a running race of 100 meters . anusha is the fastest followed by banu and then esha . anusha , banu and esha maintain constant speeds during the entire race . when anusha reached the goal post , banu was 10 m behind . when banu reached the goal post esha was 10 m behind . how far was behind anusha when the latter reached the goal post . | 1physics |
the output of a factory was increased by 10 % to keep up with rising demand . to handle the holiday rush , this new output was increased by 30 % . by approximately what percent would the output now have to be decreased in order to restore the original output ? | 0general |
if the cost price is 89 % of selling price then what is the profit percentage . | 2gain |
the rate of interest on a sum of money is 2 % p . a . for the first 3 years , 4 % p . a . for the next 4 years , and 5 % for the period beyond 7 years . if the s . i , occured on the sum for the total period of 8 years is rs . 540 / - , the sum is | 0general |
at what rate percent per annum will the simple interest on a sum of money be 7 / 5 of the amount in 10 years ? | 2gain |
two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 2.9 km and 1.6 km respectively . the time taken by the slower train to cross the faster train in seconds is ? | 1physics |
the edge of a cube is 3 a cm . find its surface ? | 3geometry |
how many integers between 324,700 and 458,600 have a 2 in the tens digit and a 1 in the units digit ? | 0general |
in a graduating class of 242 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? | 5other |
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 95 . find the number of students who wrote the exam . | 0general |
real - estate salesman z is selling a house at a 30 percent discount from its retail price . real - estate salesman x vows to match this price , and then offers an additional 30 percent discount . real - estate salesman y decides to average the prices of salesmen z and x , then offer an additional 30 percent discount . salesman y ' s final price is what fraction of salesman x ' s final price ? | 0general |
a student has to obtain 33 % of the total marks to pass . he got 92 marks and failed by 40 marks . the maximum marks are ? | 0general |
p works 25 % more efficiently than q and q works 50 % more efficiently than r . to complete a certain project , p alone takes 50 days less than q alone . if , in this project p alone works for 60 days and then q alone works for 150 days , in how many days can r alone complete the remaining work ? | 1physics |
what is the sum of the multiples of 6 from 48 to 72 , inclusive ? | 0general |
if d = 1 / ( 2 ^ 3 * 5 ^ 10 ) is expressed as a terminating decimal , how many nonzero digits will d have ? | 0general |
a , band c enter into partnership . a invests 3 times as much as b and b invests two - third of what c invests . at the end of the year , the profit earned is rs . 3300 . what is the share of b ? | 2gain |
tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 11 meters , and the interior of tank b has a height of 11 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ? | 1physics |
the cost price of a radio is rs . 1500 and it was sold for rs . 1335 , find the loss % ? | 2gain |
each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.6 % , what fraction of the products was checked by worker y ? | 0general |
in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 30 percent , but profits were 15 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ? | 2gain |
a shopkeeper sells 300 metres of cloth for rs . 18000 at a loss of rs . 5 per metre . find his cost price for one metre of cloth ? | 2gain |
? % of 360 = 144 | 2gain |
linda spent 5 / 6 of her savings on furniture and the rest on a tv . if the tv cost her $ 500 , what were her original savings ? | 0general |
how many bricks , each measuring 40 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8 m x 6 m x 22.5 cm ? | 1physics |
find the simple interest on rs . 64,000 at 16 2 / 3 % per annum for 9 months . | 2gain |
three unbiased coins are tossed . what is the probability of getting at most 2 heads ? | 4probability |
the average height of 15 girls out of a class of 60 is 138 cm . and that of the remaining girls is 142 cm . the average height of the whole class is : | 0general |
a cistern can be filled by a tap in 2 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ? | 1physics |
the edges of a cuboid are 6 cm , 5 cm and 6 cm . find the volume of the cuboid ? | 1physics |
a began business with rs . 45000 and was joined afterwards by b with rs . 27000 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? | 5other |
1 / 3 + 1 / 2 - 5 / 6 + 1 / 5 + 1 / 4 - 9 / 20 - 9 / 20 = | 0general |
a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 4 : 3 . the ratio of economy cars to sport utility vehicles is 6 : 5 . what is the ratio of luxury cars to sport utility vehicles ? | 5other |
which digits should come in place of @ and # if the number 62684 @ # is divisible by both 8 and 5 ? | 5other |
a invested $ 300 in a business after 6 months b invested $ 200 in the business . end of the year if they got $ 100 as profit . find b ' s shares ? | 2gain |
ashok secured average of 76 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ? | 0general |
a man has a certain number of small boxes to pack into parcles . if he packs 3 , 4 , 5 or 6 in a parcel , he is left with one over ; if he packs 7 in a parcle , none is left over . what is the number of boxes , he may have to pack ? | 0general |
find b and c so that the parabola with equation y = 4 x 2 - bx - c has a vertex at ( 2 , 4 ) ? | 0general |
pipe a can fill a tank in 8 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 call center has two teams . each member of team a was able to process 2 / 5 calls as compared to each member of team b . if team a has 5 / 8 as many number of call center agents as team b , what fraction of the total calls was processed by team b ? | 0general |
if the wheel is 15 cm then the number of revolutions to cover a distance of 1056 cm is ? | 1physics |
a sum of rs . 1190 has been divided among a , b and c such that a gets of what b gets and b gets of what c gets . b ’ s share is : | 0general |
a number increased by 40 % gives 1680 . the number is ? | 2gain |
if each digit in the set a = { 1 , 2 , 3 , 4 , 5 } is used exactly once , in how many ways can the 5 digits be arranged ? | 0general |
two pipes a and b can fill a tank in 12 hours and 15 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ? | 1physics |
the sides of the triangle are in the ratio 5 : 6 : 7 and its perimeter is 720 cm . the length of the longest side is ? | 3geometry |
jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume , respectively . if these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 10 percent sulfuric acid , approximately how many liters of the 2 percent solution will be required ? | 2gain |
a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 220 per month . what is his monthly salary ? | 0general |
triangle atriangle b are similar triangles with areas 1536 units square and 2166 units square respectively . the ratio of there corresponding height would be | 3geometry |
the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 108 ° of the circle , what percentage of megatek employees are in manufacturing ? | 1physics |
the toll t , in dollars , for a truck using a certain bridge is given by the formula t = 2.50 + 0.50 ( x − 2 ) , where x is the number of axles on the truck . what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles ? | 0general |
in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 20 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ? | 2gain |
a man walking at a constant rate of 6 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 12 miles per hour . the woman stops to wait for the man 10 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ? | 1physics |
a number when divided by 219 gives a remainder 32 , what remainder will be obtained by dividing the same number 12 ? | 0general |
what is the difference between the c . i . on rs . 7000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ? | 0general |
mary ' s income is 70 percent more than tim ' s income , and tim ' s income is 40 percent less than juan ' s income . what percent of juan ' s income is mary ' s income ? | 0general |
a sum of money lent out at s . i . amounts to a total of $ 480 after 2 years and to $ 680 after a further period of 5 years . what was the initial sum of money that was invested ? | 0general |
5.005 / 2.002 = | 0general |
irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 148 cookies , what percent of the cookies did irin bake ? | 5other |
a man is 24 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ? | 0general |
a dress on sale in a shop is marked at $ d . during the discount sale its price is reduced by 55 % . staff are allowed a further 50 % reduction on the discounted price . if a staff member buys the dress what will she have to pay in terms of d ? | 2gain |
if 100 < x < 190 and 10 < y < 100 , then the product xy can not be equal to : | 0general |
if the cost price of 20 articles is equal to the selling price of 40 articles , what is the % profit or loss made by the merchant ? | 2gain |
if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value of z - x ? | 0general |
reeya obtained 65 , 67 , 76 , 82 and 85 out of 100 in different subjects , what will be the average | 0general |
if the sides of a square are multiplied by sqrt ( 2 ) , the area of the original square is how many times as large as the area of the resultant square ? | 3geometry |
a certain bus driver is paid a regular rate of $ 15 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 |
how long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 720 meters in length ? | 1physics |
90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up 30 % of the total school population of x students , what is x ? | 2gain |
last year , company x paid out a total of $ 1 , 050,000 in salaries to its 21 employees . if no employee earned a salary that is more than 8 % greater than any other employee , what is the lowest possible salary that any one employee earned ? | 0general |
a part - time employee ’ s hourly wage was increased by 40 % . she decided to decrease the number of hours worked per week so that her total income did not change . by approximately what percent should the number of hours worked be decreased ? | 0general |
a boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 9 minutes . then the speed of the current is : | 1physics |
if the selling price of 10 articles is same as the cost price of 12 articles . find the gain or loss percentage ? | 2gain |
a man swims downstream 51 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ? | 1physics |
a jar of 312 marbles is divided equally among a group of marble - players today . if 2 people joined the group in the future , each person would receive 1 marble less . how many people are there in the group today ? | 0general |
find the simple interest on rs . 422 for 3 months at 2 paisa per month ? | 2gain |
amit and ian paint a wall in alternating shifts . first amit paints alone , then ian paints alone , then amit paints alone , etc . during each of his shifts , amit paints 1 / 2 of the remaining unpainted area of the wall , while ian paints 1 / 3 of the remaining unpainted area of the wall during each of his shifts . if amit goes first , what fraction of the wall ' s area will remain unpainted after amit has completed his 6 th shift ? | 3geometry |
the radius of a semi circle is 6.7 cm then its perimeter is ? | 1physics |
john was 19 years old when he married betty . they just celebrated their fifth wedding anniversary , and betty ' s age is now 7 / 8 of john ' s . how old is betty ? | 0general |
a train 70 m long , running with a speed of 63 km / hr will pass a tree in ? | 1physics |
a box has exactly 100 balls , and each ball is either red , blue , or white . if the box has 10 more blue balls than white balls , and thrice as many red balls as blue balls , how many white balls does the box has ? | 0general |
right now , al and eliot have bank accounts , and al has more money than eliot . the difference between their two accounts is 1 / 12 of the sum of their two accounts . if al ’ s account were to increase by 10 % and eliot ’ s account were to increase by 20 % , then al would have exactly $ 21 more than eliot in his account . how much money does eliot have in his account right now ? | 0general |
at a florist shop on a certain day , all corsages sold for either $ 20 or $ 30 . if 8 of the corsages that sold for $ 30 had instead sold for $ 20 , then the store ' s revenue from corsages that day would have been reduced by 35 percent . what was the store ' s actual revenue from corsages that day ? | 2gain |
in a group of houses , 40 had dogs , 30 had cats and 10 houses having both dogs and cats . what is the number of houses ? | 5other |
cricket match is conducted in us . the run rate of a cricket game was only 3.2 in first 10 over . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ? | 2gain |
the product of x and y is a constant . if the value of x is increased by 30 % , by what percentage must the value of y be decreased ? | 0general |
two employees a and b are paid a total of rs . 550 per week by their employer . if a is paid 120 percent of the sum paid to b , how much is b paid per week ? | 0general |
the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.6 years , the ratio of the number of boys to the number of girls in the class is | 0general |
jack , jill , and sandy each have one try to make a basket from half court . if their individual probabilities of making the basket are 1 / 6 , 1 / 7 , and 1 / 8 respectively , what is the probability that all three will miss ? | 0general |
in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 9720 votes were polled , then how many valid votes did b get ? | 0general |
if 2 ^ ( 2 w ) = 8 ^ ( w − 3 ) , what is the value of w ? | 0general |
the average runs scored by a batsman in 20 matches is 30 . in the next 10 matches the batsman scored an average of 15 runs . find his average in all the 30 matches ? | 0general |
a luxury liner , queen marry ii , is transporting several cats as well as the crew ( sailors , a cook , and one - legged captain ) to a nearby port . altogether , these passengers have 14 heads and 41 legs . how many cats does the ship host ? | 0general |
a ladder learning against a wall makes an angle of 60 ° with the ground . if the length of the ladder is 19 m , find the distance of the foot of the ladder from the wall . | 1physics |
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