Problem stringlengths 5 967 | category class label 6
classes |
|---|---|
running at their respective constant rate , machine x takes 2 days longer to produce w widgets than machines y . at these rates , if the two machines together produce 5 w / 4 widgets in 3 days , how many days would it take machine x alone to produce 2 w widgets . | 0general |
how long will a boy take to run round a square field of side 60 meters , if he runs at the rate of 9 km / hr ? | 2gain |
a 60 cm long wire is to be cut into two pieces so that one piece will be 2 / 4 th of the other , how many centimeters will the shorter piece be ? | 1physics |
a boat running up stram takes 6 hours to cover a certain distance , while it takes 8 hours to cover the same distance running down stream . what is the ratio between the speed of the boat and the speed of water current respectively ? | 1physics |
if a book is sold at 9 % profit instead of 9 % loss , it would have brought rs 9 more . find out the cost price of the book | 2gain |
a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m cube ) is : | 3geometry |
aarti can do a piece of work in 6 days . in how many days will she complete three time of work of same type ? | 1physics |
a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 3 less , he would have made a profit of 10 % . the c . p . of the article was | 2gain |
the average ( arithmetic mean ) of 4 positive integers is 45 . if the average of 2 of these integers is 45 , what is the greatest possible value that one of the other 2 integers can have ? | 0general |
if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 20 , what is the value of r - p ? | 0general |
a woman invested $ 1,000 , part at 5 % and the rest at 6 % . her total investment with interest at the end of the year was $ 1,052 . how much did she invest at 5 % ? | 2gain |
one ball will drop from a certain height . the height it will reach after rebounding from the floor is 50 percent of the previous height . the total travel is 260 cm when it touches the floor on third time . what is the value of the original height ? | 2gain |
16.02 ã — 0.00001 = ? | 0general |
a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 17 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ? | 2gain |
when working alone , painter w can paint a room in 2 hours , and working alone , painter x can paint the same room in a hours . when the two painters work together and independently , they can paint the room in 3 / 4 of an hour . what is the value of a ? | 1physics |
the total age of a and b is 10 years more than the total age of b and c . c is how many years younger than a ? | 0general |
a new tower has just been built at the verbico military hospital ; the number of beds available for patients at the hospital is now 5 times the number available before the new tower was built . currently , 1 / 3 of the hospital ' s original beds , as well as 1 / 5 of the beds in the new tower , are occupied . for the purposes of renovating the hospital ' s original wing , all of the patients in the hospital ' s original beds must be transferred to beds in the new tower . if patients are neither admitted nor discharged during the transfer , what fraction of the beds in the new tower will be unoccupied once the transfer is complete ? | 0general |
what is the probability of having 53 fridays in an ordinary year | 4probability |
how many integerskgreater than 100 and less than 900 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ? | 0general |
how many halves are there in 9 - fourth ? | 0general |
what is the population standard deviation for the numbers : 75 , 83 , 96 , 100 , 121 and 125 ? | 0general |
63 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? | 3geometry |
there are two tanks a & b with same capacity of 20 litres . if the water inflow rate ( speed ) in tank a is 2 litres per hour & in tank b is 4 litres per hour . how much longer tank a takes to fill than tank b ? | 1physics |
while calculating the edge of a square , a worker makes an error of 2 % in excess . what % error does he make in calculating area ? ( % ) | 3geometry |
how many positive integers less than 200 are there such that they are multiples of 13 or multiples of 12 ? | 0general |
if a / b = 1 / 2 , b / c = 5 , c / d = 2 / 3 , d / e = 1 / 6 and e / f = 2 / 3 , then what is the value of abc / def ? | 0general |
a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100 . if the sale price of each machine was $ 10,000 and the salesperson received a $ 40,000 commission , how many machines did she sell ? | 2gain |
find the average of all the numbers between 6 and 30 which are divisible by 4 . | 0general |
in a renowned city , the average birth rate is 8 people every two seconds and the death rate is 6 people every two seconds . estimate the size of the population net increase that occurs in one day . | 0general |
in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 24,947 . approximately what was the percent increase ? | 0general |
in may , the groundskeeper at spring lake golf club built a circular green with an area of 70 π square feet . in august , the groundskeeper doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? | 3geometry |
find the cost of fencing around a circular field of diameter 30 m at the rate of rs . 5 a meter ? | 1physics |
if x # y is defined to equal x ^ 2 / y for all x and y , then ( - 1 # 2 ) # - 3 = | 0general |
39 persons can repair a road in 12 days , working 5 hours a day . in how many days will 15 persons , working 6 hours a day , complete the work ? | 1physics |
let f ( x ) = x ^ 2 + bx + c . if f ( 1 ) = 0 and f ( - 5 ) = 0 , then f ( x ) crosses the y - axis at what y - coordinate ? | 0general |
the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 40 ft long . what is the distance traveled by the cart , when the front wheel has done five more revolutions than the rear wheel ? | 1physics |
a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 4.5 liters per minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours . the capacity of the tank is ? | 1physics |
a and b invests rs . 10000 each , a investing for 8 months and b investing for all the 12 months in the year . if the total profit at the end of the year is rs . 5000 , find their shares ? | 2gain |
a circular path of 12 m radius has marginal walk 2 m wide all round it . find the cost of leveling the walk at 50 p per m 2 ? | 1physics |
last year sandy saved 6 % of her annual salary . this year , she made 10 % more money than last year , and she saved 8 % of her salary . the amount saved this year was what percent of the amount she saved last year ? | 2gain |
the length of a rectangle is twice its breadth . if its length is decreased by 10 cm and breadth is increased by 10 cm , the area of the rectangle is increased by 75 sq . cm . what is the length of the rectangle ? | 3geometry |
factory x ' s bulbs work for over 5000 hours in 78 % of cases , whereas factory y ' s bulbs work for over 5000 hours in 65 % of cases . it is known that factory x supplies 90 % of the total bulbs available . what is the chance that a purchased bulb will work for longer than 5000 hours ? | 1physics |
7 years ago , paula was 3 times as old as karl . in 2 years , paula will be twice as old as karl . what is the sum of their ages now ? | 0general |
a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 5 : 4 . the ratio of economy cars to sport utility vehicles is 3 : 2 . what is the ratio of luxury cars to sport utility vehicles ? | 5other |
a dress on sale in a shop is marked at $ d . during the discount sale its price is reduced by 65 % . staff are allowed a further 60 % reduction on the discounted price . if a staff member buys the dress what will she have to pay in terms of d ? | 2gain |
the difference of two numbers is 11 . one third of their sum is 7 . what are the two numbers ? | 0general |
75 % of 480 = ( ? ) x 15 ? | 0general |
if a truck is traveling at a constant rate of 54 kilometers per hour , how many seconds will it take the truck to travel a distance of 600 meters ? ( 1 kilometer = 1000 meters ) | 1physics |
what number times ( 1 ⁄ 7 ) ^ 2 will give the value of 7 ^ 3 ? | 0general |
the ratio 2 : 10 expressed as percent equals to | 0general |
a watch was sold at a loss of 21 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ? | 2gain |
at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 8 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 1 to 4 . how many cooks does the restaurant have ? | 5other |
a bag contains 5 green balls and 8 white balls . if two balls are drawn simultaneously , what is the probability that both balls are the same colour ? | 5other |
if 60 % of 3 / 5 of a number is 36 , then the number is ? | 2gain |
a sum of money amounts to rs . 9800 after 5 years and rs . 12005 after 8 years at the same rate of simple interest . the rate of interest per annum is ? | 2gain |
two years ago , ram put $ 1,000 into a savings account . at the end of the first year , his account had accrued $ 200 in interest bringing his total balance to $ 1,200 . the next year , his account balance increased by 20 % . at the end of the two years , by what percent has ram ' s account balance increased from his initial deposit of $ 1,000 ? | 2gain |
in a college , 1 percent of students hate math , 2 percent of students hate english , 1 percent hate french and 4 percent hate german . can you find out the percentage of students who hate all 4 subjects ? | 2gain |
walking at 6 / 7 th of his usual speed , a man is 25 mins too late . his usual time is | 1physics |
amit and ananthu can do a work in 15 days and 30 days respectively . amit started the work and left after 3 days . ananthu took over and completed the work . in how many days was the total work completed ? | 1physics |
if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 39 , find the value of ab . | 0general |
a cylinder of height h is 2 / 3 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 and b together have $ 1210 . if of a ' s amount is equal to of b ' s amount , what is the ratio between a and b ? | 5other |
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 width of the rectangle ? | 3geometry |
express a speed of 108 kmph in meters per second ? | 1physics |
the ratio of the two natural numbers is 6 : 5 . if a certain number is subtracted to both the numbers , the ratio becomes 5 : 4 . if the larger number exceeds the smaller number by 5 , find the number subtracted ? | 5other |
200 is what percent of 50 ? | 2gain |
a big container is 30 % full with water . if 54 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container ? | 0general |
at what rate percent per annum will the simple interest on a sum of money be 6 / 5 of the amount in 10 years ? | 2gain |
if x is real , find the maximum value of the expression - 2 x ^ 2 + 5 x + 7 . | 0general |
the perimeter of one face of a cube is 40 cm . its volume will be : | 3geometry |
a starts business with rs . 3500 and after 10 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b â € ™ s contribution in the capital ? | 5other |
if the personal income tax rate is lowered from 45 % to 30 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 48000 ? | 2gain |
a trader sells 45 meters of cloth for rs . 4500 at the profit of rs . 12 per metre of cloth . what is the cost price of one metre of cloth ? | 1physics |
subash can copy 50 pages in 10 hrs . subash and prakash together can copy 300 pages in 40 hours . in how much time prakash can copy 10 pages . | 0general |
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 16 seconds , the speed of each train ( in km / hr ) is | 1physics |
how much is 80 % of 60 is greater than 4 / 5 of 25 ? | 0general |
a 6 litre sol is 30 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ? | 2gain |
a factory has three types of machines , each of which works at its own constant rate . if 7 machine as and 11 machine bs can produce 470 widgets per hour , and if 8 machine as and 22 machine cs can produce 600 widgets per hour , how many widgets could one machine a , one machine b , and one machine c produce in one 8 - hour day ? | 1physics |
can you find a 7 digit number which describes itself . the first digit is the number of zeros in the number . the second digit is the number of ones in the number , etc . for example , in the number 21200 , there are 2 zeros , 1 one , 2 twos , 0 threes and 0 fours . | 1physics |
what decimal fraction is 50 ml of a litre ? | 1physics |
gary ’ s gas station serves an average of 13 cars per hour on saturdays , 10 cars per hour on sundays , and 9 cars per hour on all other days of the week . if the station is open from 6 a . m . to 10 p . m . every day , how many cars does gary ’ s station serve over the course of a typical week ? | 1physics |
a man ' s speed with the current is 15 km / hr and the speed of the current is 2.5 km / hr . the man ' s speed against the current is | 2gain |
in what time will a train 100 m long cross an electric pole , it its speed be 144 km / hr ? | 1physics |
if r is a positive integer , and r / 15 = 8.2 , what is the remainder when r is divided by 15 ? | 0general |
working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 15 , 12 , and 18 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ? | 0general |
what is the 20 - fifth decimal to the right in the fraction 10 / 11 ? | 0general |
one cutting machine cuts 100 metal bars in 30 minutes . another machine does the same job in 30 seconds . what time will it take if both machines are put on the same work ? | 1physics |
what is the average ( arithmetic mean ) of the numbers 16 , 17 , 17 , 18 , 19 , 19 and 20 ? | 0general |
the sum of 5 th and 21 th term of a . p . is equal to the sum of 8 th , 15 th and 13 th term . find the term which is 0 | 0general |
what is 0.01 percent of 15,356 ? | 2gain |
evaluate : 12 + sqrt ( - 5 + 7 ã — 8 ã · 4 ) = ? | 0general |
in 5 football games thus far this season , barry has run for 98 , 107 , 85 , 89 , and 91 yards . at a minimum , how many yards n will he need to gain this sunday if he wants to keep his season average above 100 yards ? | 0general |
ab + cd = jjj , where ab and cd are two - digit numbers and jjj is a 3 digit number ; a , b , c , and d are distinct positive integers . in the addition problem above , what is the value of c ? | 0general |
8 friends went to a hotel and decided to pay the bill amount equally . but 7 of them could pay rs . 80 each as a result 8 th has to pay rs . 70 extra than his share . find the amount paid by him . | 0general |
if 4 men can colour 48 m long cloth in 2 days , then 8 men can colour 36 m long cloth in | 1physics |
a person lent a certain sum of money at 6 % per annum at simple interest and in 8 years the interest amounted to $ 572 less than the sum lent . what was the sum lent ? | 2gain |
a circular ground whose diameter is 35 metres , has a 1.4 metre - broad garden around inside of it . what is the area of the garden in square metres ? | 3geometry |
the edges of three metal cubes are 4 cm , 5 cm , and 6 cm respectively . a new cube is made by melting these three cubes together . what is the edge of the new cube ( in centimeters ) ? | 1physics |
mr . hernandez , who was a resident of state x for only 8 months last year , had a taxable income of $ 22,500 for the year . if the state tax rate were 10 percent of the year ’ s taxable income prorated for the proportion of the year during which the taxpayer was a resident , what would be the amount of mr . hernandez ’ s state x tax for last year ? | 2gain |
walking at 3 / 4 of her normal speed , a worker is 12 minutes later than usual in reaching her office . the usual time ( in minutes ) taken by her to cover the distance between her home and her office is | 1physics |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.