Problem stringlengths 5 967 | category class label 6
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two trains 100 m and 60 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ? | 1physics |
the price of lunch for 15 people was $ 207.00 , including a 15 percent gratuity for service . what was the average price per person , excluding the gratuity ? | 0general |
find the missing figures : 0.50 % of ? = 0.12 | 2gain |
a no . when divided by 220 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 17 ? | 0general |
shipment - - - - - - no . of defective chips / shipment - - - total chips in shipment s 2 - - - - - - - - - - - - - - 5 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 12000 s 3 - - - - - - - - - - - - - - 6 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 18000 s 4 - - - - - - - - - - - - - - 4 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 16000 a computer chip manufacturer expects the ratio of the number of defective chips to be total number of chips in all future shipments equal to the corresponding ratio for shipmemts s 1 , s 2 , s 3 and s 4 comined as shown in the table above . what is the expected number q of defective chips in a shipment of 60000 chips ? | 0general |
if 2 x + y = 7 and x + 2 y = 5 , then 8 xy / 3 = ? | 0general |
the maximum number of students among them 640 pens and 520 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? | 0general |
a certain airline ' s fleet consisted of 80 type a planes at the beginning of 1980 . at the end of each year , starting with 1980 , the airline retired 3 of the type a planes and acquired 4 new type b plans . how many years did it take before the number of type a planes left in the airline ' s fleet was less than 50 percent of the fleet ? | 2gain |
if the numbers 1 to 96 are written on 96 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ? | 5other |
sandy walked 25 meters towards south . then sandy turned to her left and walked 20 meters . she then turned to her left and walked 25 meters . she then turned to her right and walked 12 meters . what distance is she from the starting point and in which direction ? | 1physics |
the length of the bridge , which a train 120 meters long and travelling at 45 km / hr can cross in 30 seconds , is : | 1physics |
how many liters of water must be evaporated from 50 liters of a 1 - percent sugar solution to get a 10 - percent solution ? | 2gain |
raman mixed 27 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ? | 2gain |
the average of 50 numbers id 56 . if two numbers , namely 45 and 55 are discarded , the average of the remaining numbers is : | 0general |
a set consists of 12 numbers , all are even or multiple of 5 . if 7 numbers are even and 14 numbers are multiple of 5 , how many numbers is multiple of 10 ? | 0general |
sum of the squares of 3 no . is 149 and the sum of their products taken two at a time is 70 . find the sum ? | 0general |
if x and y are positive integers and x = 5 y + 2 , what is the remainder when x is divided by 5 ? | 0general |
if , 1 * 3 * 5 = 16 3 * 5 * 7 = 38 5 * 7 * 9 = 68 then find , 7 * 9 * 11 = ? | 0general |
a is twice as good a workman as b and they took 7 days together to do the work b alone can do it in ? | 1physics |
points a , b , c , and d , in that order , lie on a line . if ab = 2 cm , ac = 4 cm , and bd = 6 cm , what is cd , in centimeters ? | 1physics |
a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 844 in 4 years . the sum is : | 2gain |
a side of beef lost 40 percent of its weight in processing . if the side of beef weighed 240 pounds after processing , how many pounds did it weigh before processing ? | 2gain |
36 men can complete a piece of work in 18 days . in how days will 27 men can complete the work ? | 1physics |
a trader bought a car at 50 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ? | 2gain |
renu can do a piece of work in 8 days , but with the help of her friend suma , she can do it in 3 days . in what time suma can do it alone ? | 1physics |
what is the sum of the odd integers from 35 to 65 , inclusive ? | 0general |
excluding stoppages , the speed of a bus is 54 kmph and including stoppages , it is 36 kmph . for how many minutes does the bus stop per hour ? | 1physics |
a worker can load one truck in 6 hours . a second worker can load the same truck in 5 hours . if both workers load one truck simultaneously while maintaining their constant rates , approximately how long , in hours , will it take them to fill one truck ? | 1physics |
which is equal to 11 ? | 0general |
the speed of a train is 102 kmph . what is the distance covered by it in 30 minutes ? | 1physics |
a rectangular of certain dimensions is chopped off from one corner of a larger rectangle as shown . ab = 8 cm and bc = 4 cm . the perimeter of the figure abcpqra ( in cm ) is : | 3geometry |
20 machines can do a work in 10 days . how many machines are needed to complete the work in 40 days ? | 1physics |
if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 110 , how much more remains to be paid ? | 0general |
let f ( x ) = x ^ 2 + bx + c . if f ( 1 ) = 0 and f ( - 9 ) = 0 , then f ( x ) crosses the y - axis at what y - coordinate ? | 0general |
in a trapezium abcd , ab is parallel to dc , ab = 3 * dc , and the diagonals of the trapezium intersect at o . the ratio of the area of ∆ ocd to the area of ∆ oab is : | 3geometry |
when 1 / 10 percent of 6,000 is subtracted from 1 / 10 of 6,000 , the difference is | 0general |
if there are 200 questions in a 3 hr examination . among these questions are 10 type a problems , which requires twice as much as time be spent than the rest of the type b problems . how many minutes should be spent on type a problems ? | 0general |
working individually , jane can bake cakes for 4 hours and roy can bake cakes in 5 hours . if jane and roy work together but independently at the task for 2 hours , at which point roy leaves , how many remaining hours will it take jane to complete the task alone ? | 1physics |
the arithmetic mean of set x is zero . if y = { - 2.22 ; - 1.96 ; - 1.68 ; 1.62 ; 1.94 ; 2.16 } is the subset of x consisting of all those elements in x which are more than two but less than 3 standard deviations away from the arithmetic mean of x , what could be equal to the standard deviation of x ? | 0general |
what is the sum of odd integers from 25 to 85 , inclusive ? | 0general |
carrie likes to buy t - shirts at the local clothing store . they cost $ 9.95 each . one day , she bought 25 t - shirts . how much money did she spend ? | 0general |
evaluate the sum 1 - 2 + 3 - 4 + 5 - 6 + . . . + 997 - 998 + 999 - 1000 | 0general |
a line has a slope of 3 / 4 and intersects the point t ( - 12 , - 39 ) . at which point does this line intersect the x - axis ? | 0general |
the owner of a furniture shop charges his customer 20 % more than the cost price . if a customer paid rs . 8337 for a computer table , then what was the cost price of the computer table ? | 2gain |
two drivers began their journey with the same amount of petrol in their cars at the same time . the only difference is that the first driver � s car could drive 4 hours in that amount of petrol and the second one could drive 5 hours . however , they only drove for some time and found that the amount of petrol that was left in one of the cars was 4 times the petrol left in the other one . for how long had they driven at this point of time ? | 1physics |
the ratio of two numbers is 5 : 9 . if each number is decreased by 5 , the ratio becomes 5 : 11 . find the numbers . | 5other |
tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 11 even numbers . his mother immediately worked out the answer . how much had he scored in math ? | 1physics |
the average height of 12 girls out of a class of 20 is 161 cm . and that of the remaining girls is 158 cm . the average height of the whole class is : | 0general |
find out the c . i on rs . 9000 at 4 % p . a . compound half - yearly for 1 1 / 2 years | 0general |
the length of rectangle is thrice its breadth and its perimeter is 56 m , find the area of the rectangle ? | 3geometry |
in a flight of 600 km , an aircraft was slowed down due to bad weather . its average speed for the trip was reduced by 200 km / hr and the time of flight increased by 30 minutes . the duration of the flight is | 0general |
money invested at x % , compounded annually , triples in value in approximately every 112 / x years . if $ 2200 is invested at a rate of 8 % , compounded annually , what will be its approximate worth in 28 years ? | 2gain |
a rocket soars for 12 seconds at 150 meters per second . it then plummets 600 meters in 3 seconds . what is the average speed of the rocket in meters per second ? | 1physics |
for any integer n greater than 1 , # n denotes the product of all the integers from 1 to n , inclusive . how many prime numbers w are there between # 6 + 2 and # 6 + 6 , inclusive ? | 0general |
a no . when divided by 224 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 17 ? | 0general |
20 beavers , working together in a constant pace , can build a dam in 3 hours . how many hours x will it take 12 beavers that work at the same pace , to build the same dam ? | 1physics |
the product of two numbers is 168 and the sum of these two numbers is 26 . what is the largest of these two numbers ? | 0general |
a small company is planning to rent either computer a or computer b to print customer mailing lists . both computer a and computer b must be rented on an hourly basis . the rental fee is based only on the amount of time the computer is turned on . it will cost 40 percent more per hour to rent computer a than to rent computer b . computer b would , however , require 20 hours more than computer a to do the job . if either computer a , or computer b were rented the total cost to rent the computer would be $ 700.00 . what would be the approximate hourly charge to rent computer b ? | 0general |
in a survey of 330 employees , 104 of them are uninsured , 54 work part time , and 12.5 percent of employees who are uninsured work part time . if a person is to be randomly selected from those surveyed , what is the probability that the person will neither work part time nor be uninsured ? | 1physics |
a dishonest dealer professes to sell goods at the cost price but uses a weight of 896 grams per kg , what is his percent ? | 2gain |
jack has two dice , one has 6 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , and the other has 7 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , 7 . if jack rolls both dice what is the probability that both of the numbers will be even ? | 5other |
what will be the compound interest on a sum of rs . 26000 after 3 years at the rate of 12 % p . a . ? | 2gain |
which number need to add to 859622 to get a no . exactly divisible by 456 ? | 0general |
a case of 12 rolls of paper towels sells for $ 9 . the cost of one roll sold individually is $ 1 . what is the percent r of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ? | 0general |
a cistern is filled by pipe a in 10 hours and the full cistern can be leaked out by an exhaust pipe b in 12 hours . if both the pipes are opened , in what time the cistern is full ? | 1physics |
here is 15 dots . if you select 3 dots randomly , what is the probability that 3 dots make a triangle ? | 3geometry |
in a class of 20 students , 2 students did not borrow any books from the library , 8 students each borrowed 1 book , 3 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ? | 0general |
a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 4 - inch increase in the length of the shoe . if the largest size of this shoe is 30 % longer than the smallest size , how long , in inches , is the shoe in size 15 ? | 0general |
what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 11 , 60 and 61 ? | 3geometry |
a man spends 50 % of his income on food , 15 % on children education and 50 % of the remaining on house rent . what percent of his income he is left with ? | 2gain |
a car covers a distance of 624 km in 3 hours . find its speed ? | 1physics |
it was calculated that 50 men could complete a piece of work in 10 days . when work was scheduled to commence , it was found necessary to send 25 men to another project . how much longer will it take to complete the work ? | 1physics |
at a supermarket , the ratio of the number of shampoos to the number of soaps is 8 to 5 , and the ratio of the number of drinks to the number of shampoos is 3 to 4 . if the ratio of the soaps to the number of cereals is 9 to 2 , what is the ratio of the number of drinks to the number of cereals ? | 5other |
xy = 1 then what is ( 5 ^ ( x + y ) ^ 2 ) / ( 5 ^ ( x - y ) ^ 2 ) | 0general |
gold is 10 times as heavy as water and copper is 5 times as heavy as water . in what ratio should these be mixed to get an alloy 8 times as heavy as water ? | 0general |
the length of a rectangular floor is more than its breadth by 200 % . if rs . 400 is required to paint the floor at the rate of rs . 3 / sq m , what would be the length of the floor ? | 2gain |
a baker charges n dollars for a birthday cake . next week , she intends to earn 320 dollars selling cakes . if she were to reduce the price of the cake by 20 percent , she would have to sell two more cakes to earn the same amount of revenue . how many cakes does she intend to sell next week ? | 0general |
a sum of money deposited at c . i . amounts to rs . 1820 in 4 years and to rs . 2402 in 5 years . find the rate percent ? | 2gain |
an assembly line produces 30 cogs per hour until an initial order of 60 cogs is completed . the speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced . what is the overall average output , in cogs per hour , for the assembly line during this whole time ? | 0general |
if the cost price of 44 chocolates is equal to the selling price of 24 chocolates , the gain percent is : | 2gain |
90 percent of your marbles are a solid color . 5 percent of your marbles are solid yellow . what percentage of your marbles are a solid color other than yellow ? | 2gain |
when m divided by 288 , the remainder is 47 . find the remainder when the same m is divided by 24 ? | 1physics |
the length of rectangle is thrice its breadth and its perimeter is 112 m , find the area of the rectangle ? | 3geometry |
in measuring the sides of a rectangle , one side is taken 5 % in excess and the other 4 % in deficit . find the error percent in the area , calculate from the those measurements . | 3geometry |
we have a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 144 inches and the width is 72 inches . what is the volume of the cube in cubic feet is 1 feet is 12 inches ? | 3geometry |
working at constant rate , pump x pumped out half of the water in a flooded basement in 7 hours . the pump y was started and the two pumps , working independently at their respective constant rates , pumped out rest of the water in 3 hours . how many hours would it have taken pump y , operating alone at its own constant rate , to pump out all of the water that was pumped out of the basement ? | 1physics |
if k is an integer and 0.00010101 x 10 ^ k is greater than 1000 , what is the least possible value of k ? | 0general |
the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 43 kg , then the weight of b is : | 0general |
a car is purchased on hire - purchase . the cash price is $ 22 000 and the terms are a deposit of 10 % of the price , then the balance to be paid off over 60 equal monthly installments . interest is charged at 12 % p . a . what is the monthly installment ? | 2gain |
5 is added to a certain number , the sum is multiplied by 2 , the product is divided by 5 and 5 is subtracted from the quotient . the remainder left is half of 44 . what is the number ? | 0general |
the ratio between the sale price and the cost price of an article is 9 : 7 . what is the ratio between the profit and the cost price of that article ? | 5other |
find the number which when multiplied by 15 is increased by 196 . | 0general |
one night a certain hotel rented 3 / 4 of its rooms . including 2 / 3 of their air conditioned rooms . if 3 / 5 of its rooms were air conditioned , what percent of the rooms that were not rented were air conditioned ? | 2gain |
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 catches and completely passes the slower train in 72 seconds . what is the length of each train ( in meters ) ? | 1physics |
80 + 5 * 12 / ( 180 / 3 ) = ? | 0general |
ann and bob drive separately to a meeting . ann ' s average driving speed is greater than bob ' s avergae driving speed by one - third of bob ' s average driving speed , and ann drives twice as many miles as bob . what is the ratio t of the number of hours ann spends driving to the meeting to the number of hours bob spends driving to the meeting ? | 0general |
if 6 x = 10 y = 14 z , then what is a possible sum of positive integers x , y , and z ? | 0general |
tough and tricky questions : percents . over the course of a year , a certain microbrewery increased its beer output by 20 percent . at the same time , it decreased its total working hours by 30 percent . by what percent did this factory increase its output per hour ? | 0general |
walking with 4 / 5 of my usual speed , i arrive at the bus stop 8 minutes later than normal . how many minutes does it take to walk to the bus stop at my usual speed ? | 1physics |
an inspector rejects 0.08 % of the meters as defective . how many will be examine to project ? | 2gain |
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