Problem stringlengths 5 967 | category class label 6
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jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 85 . if jerry wants to raise his average by 2 points , what score must he earn on the fourth test ? | 0general |
a number exceeds by 20 from its 3 / 8 part . then the number is ? | 0general |
the radius of the two circular fields is in the ratio 3 : 5 the area of the first field is what percent less than the area of the second ? | 3geometry |
find the lowest common multiple of 25 , 35 and 50 . | 0general |
a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 580 pounds after processing , how many pounds did it weigh before processing ? | 2gain |
country x imported approximately $ 1.20 billion of goods in 1996 . if country x imported $ 288 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year , by how much would country xs 1997 imports exceed those of 1996 ? | 0general |
a man goes from a to b at a speed of 21 kmph and comes back to a at a speed of 21 kmph . find his average speed for the entire journey ? | 1physics |
a man rows his boat 72 km downstream and 30 km upstream , taking 3 hours each time . find the speed of the stream ? | 1physics |
a certain fruit stand sold apples for $ 0.70 each and bananas for $ 0.60 each . if a customer purchased both apples and bananas from the stand for a total of $ 5.60 , what total number of apples and bananas did the customer purchase ? | 5other |
25 liters of a mixture is created by mixing liquid p and liquid q in the ratio 3 : 2 . how many liters of liquid q must be added to make the ratio 5 : 4 ? | 0general |
an amount of rs . 1560 was divided among a , b and c in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of c ? | 0general |
elena purchased brand x pens for $ 4.00 apiece and brand y for $ 2.20 apiece . if elena purchased a total of 12 of these pens for $ 42.00 , how many brand x pens did she purchase ? | 0general |
walking at 5 / 6 th of its usual speed a cab is 6 mnts late . find its usual time to cover the journey ? | 1physics |
on the number line , if x is halfway between - 6 and 4 , and if y is halfway between - 2 and 6 , what number is halfway between x and y ? | 0general |
what is the sum of the digits of integer k , if k = ( 10 ^ 50 - 50 ) | 0general |
what is the least number which when divided by 6 , 9 , 12 and 18 leaves remainder 4 in each care ? | 0general |
the population of a town increased from 1 , 75,000 to 2 , 80,000 in a decade . the average percent increase of population per year is | 0general |
a bullet train 200 m long is running with a speed of 69 kmph . in what time will it pass a man who is running at 3 kmph in the direction opposite to that in which the bullet train is going ? | 1physics |
in what time will a railway train 90 m long moving at the rate of 36 kmph pass a telegraph post on its way ? | 1physics |
after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6800 . find the actual price of the good . | 2gain |
a can run 160 metre in 28 seconds and b in 32 seconds . by what distance a beat b ? | 1physics |
a club wants to mix 20 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound . how many pounds of the $ 5.00 per pound candy should be used ? | 0general |
by selling an article at rs . 600 , a profit of 30 % is made . find its cost price ? | 2gain |
a student gets 60 % in one subject , 70 % in the other . to get an overall of 70 % how much should get in third subject . | 2gain |
if a ' s height is 30 % less than that of b , how much percent b ' s height is more than that of a ? | 0general |
if 13 = 13 w / ( 1 - w ) , then ( 2 w ) 2 = | 0general |
what is the perimeter of a square field whose diagonal is 4 √ 2 ? | 3geometry |
if the sides of a triangle are 4 cm , 9 cm and 13 cm , what is its area ? | 3geometry |
of the 65 cars on a car lot , 45 have air - bag , 30 have power windows , and 12 have both air - bag and power windows . how many of the cars on the lot have neither air - bag nor power windows ? | 5other |
a large field of 700 hectares is divided into two parts . the difference of the areas of the two parts is one - fifth of the average of the two areas . what is the area of the smaller part in hectares ? | 0general |
if 2994 ã · 14.5 = 177 , then 29.94 ã · 1.45 = ? | 0general |
a part - time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee ' s total income did not change . by what percent t should the number of hours worked be increased ? | 0general |
tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random . what is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ? | 0general |
cole drove from home to work at an average speed of 75 kmh . he then returned home at an average speed of 105 kmh . if the round trip took a total of 4 hours , how many minutes did it take cole to drive to work ? | 1physics |
what could be the range of a set consisting of odd multiples of ( 6 + 1 ) ? | 0general |
the apartment on king - williams street is an asset that its value is tramping about . from the year 1973 to 1983 it ' s value decreased by 16 % and from 1983 to 1993 it ' s value increased by 16 % . what is the value of the asset in 1993 if in 1973 it was worth $ 55000 ? | 0general |
in the xy - coordinate system , if ( m , n ) and ( m + 2 , n + k ) are two points on the line with the equation x = 2 y + 5 , then k = | 0general |
the difference between c . i . and s . i . on an amount of $ 15,000 for 2 years is $ 54 . what is the rate of interest per annum ? | 2gain |
$ 600 is divided amongst a , b and c so that a may get 2 / 3 as much as b and c together , b may get 6 / 9 as much as a and c together , then the share of a is | 0general |
what is the smallest no . which must be added to 532869 so as to obtain a sum which is divisible by 9 ? | 0general |
the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 12 minutes is : | 1physics |
a sum was put at simple interest at a certain rate for 6 years had it been put at 4 % higher rate , it would have fetched 144 more . find the sum . | 2gain |
what least no . must be subtracted from 427398 so that remaining no . is divisible by 10 ? | 0general |
the number of students enrolled at school xx this year is 7 percent more than it was last year . the number of students enrolled at school yy this year is 3 percent more than it was last year . if school xx grew by 40 more students than school yy did , and if there were 4000 total enrolled students last year at both sc... | 0general |
a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2 . 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more . at the end of the two removal and replacement , what is the ratio t of milk and water in the resultant mixture ? | 0general |
a collection of books went on sale , and 2 / 3 of them were sold for $ 3.50 each . if none of the 36 remaining books were sold , what was the total amount received for the books that were sold ? | 0general |
the average runs scored by a batsman in 35 matches is 36 . in the next 14 matches the batsman scored an average of 15 runs . find his average in all the 30 matches ? | 0general |
the average ( arithmetic mean ) of the 5 positive integers k , m , r , s , and t is 18 , and k < m < r < s < t . if t is 40 , what is the greatest possible value of the median of the 5 integers ? | 0general |
how many positive integers less than 7,000 are there in which the sum of the digits equals 5 ? | 0general |
4 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ? | 0general |
by selling 16 pencils for a rupee a man loses 28 % . how many for a rupee should he sell in order to gain 28 % ? | 2gain |
if the radius of a circle is diminished by 10 % , then the area is diminished by : | 3geometry |
a parking garage rents parking spaces for $ 10 per week or $ 24 per month . how much does a person save in a year by renting by the month rather than by the week ? | 0general |
a boat running downstream covers a distance of 12 km in 2 hours while for covering the same distance upstream , it takes 3 hours . what is the speed of the boat in still water ? | 1physics |
what is the area of a square field whose diagonal of length 20 m ? | 3geometry |
a sum of rs . 12,500 amounts to rs . 15,500 in 4 years at the rate of simple interest . what is the rate of interest ? | 2gain |
ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent . overall he make a . | 2gain |
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 8 even numbers . his mother immediately worked out the answer . how much had he scored in math ? | 1physics |
a and b can do a work in 5 days , b and c in 15 days and c and a in 25 days . in how many days will the work be completed , if all three of them work together ? | 1physics |
22 percent of 300 | 2gain |
working individually , allison can sew dresses for 9 hours and al can sew dresses in 12 hours . if allison and al work together but independently at the task for 3 hours , at which point al leaves , how many remaining hours will it take allison to complete the task alone ? | 1physics |
3 friends are planning to attend a concert . if another friend also goes with them , they will get a group discount on their tickets . if the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount , how much is the discount ? | 0general |
the true discount on a bill of rs . 540 is rs . 90 . the banker ' s discount is : | 2gain |
when positive integer x is divided by positive integer y , the remainder is 3 . if x / y = 96.15 , what is the value of y ? | 0general |
fetched a total simple interest of rs . 4216.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ? | 2gain |
the average of 10 numbers is calculated as 15 . it is discovered later on that while calculating the average , one number namely 36 was wrongly read as 26 . the correct average is ? | 0general |
if x is 20 percent greater than 98 , then x = | 0general |
30 pens and 75 pencils were purchased for 450 . if the average price of a pencil was 2.00 , find the average price of a pen . | 0general |
a person is traveling at 100 km / hr and reached his destiny in 5 then find the distance ? | 1physics |
if jake loses 29 pounds , he will weigh twice as much as his sister . together they now weigh 99 pounds . what is jake ' s present weight , in pounds ? | 0general |
a man can row downstream at the rate of 18 kmph and upstream at 6 kmph . find the man ’ s rate in still water and rate of current ? | 2gain |
the average ( arithmetic mean ) of the even integers from 0 to 40 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 20 inclusive ? | 0general |
what is the smallest number h which when increased by 5 is completely divisible by 8 , 11 and 24 ? | 0general |
the cost price of a radio is rs . 1500 and it was sold for rs . 1290 , find the loss % ? | 2gain |
in an election a candidate who gets 60 % of the votes is elected by a majority of 900 votes . what is the total number of votes polled ? | 2gain |
( 17 ) 3.75 x ( 17 ) ? = 178 | 0general |
the speed of a boat in still water in 15 km / hr and the rate of current is 3 km / hr . the distance travelled downstream in 12 minutes is : | 1physics |
if 1000 microns = 1 decimeter , and 1 , 000,000 angstroms = 1 decimeter , how many angstroms equal 1 micron ? | 0general |
10 men , working 7 hours a day can complete a work in 18 days . how many hours a day must 15 men work to complete the same work in 12 days ? | 1physics |
calculate the value of n from the below equation : y ^ 4 â ˆ ’ 20 y + 1 = 22 | 0general |
the average of first five prime numbers greater than 37 is ? | 0general |
a bag contains 6 black and 6 white balls . one ball is drawn at random . what is the probability that the ball drawn is white ? | 4probability |
the list price of an article is rs . 67 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ? | 2gain |
karen places a bet with tom that she will beat tom in a car race by 4 miles even if karen starts 4 minutes late . assuming that karen drives at an average speed of 60 mph and tom drives at an average speed of 45 mph , how many w miles will tom drive before karen wins the bet ? | 1physics |
rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 2 / 3 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? | 3geometry |
the probability that event a occurs is 0.4 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.8 , what is the probability that event b will occur ? | 5other |
a lemonade stand sold only small and large cups of lemonade on tuesday . 1 / 5 of the cups sold were small and the rest were large . if the large cups were sold for 7 / 6 as much as the small cups , what fraction of tuesday ' s total revenue was from the sale of large cups ? | 0general |
if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 50 / r years . if luke ' s parents invested $ 14,500 in a long term bond that pays 12 percent interest compounded annually , what will be the approximate total amount of the investment 12 years l... | 0general |
12 is 4 % of a , and 4 is 12 % of b . c equals b / a . what is the value of c ? | 0general |
a contractor undertook to make 15 km of roadway in 40 weeks . in 10 weeks , 3 km was complete by 180 men working 8 hours a day . the men then agreed to work 1 hour a day overtime , and some boys were engaged to assist them , the work was finished in the stipulated time ( 40 weeks ) . how many boys were employed , if th... | 1physics |
a man can row 7 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and black . how far is the place ? | 1physics |
find the least number of complete years in which a sum of money put out at 33.3 % compound interest will be more than double of itself ? | 0general |
the sum of the squares of three numbers is 138 , while the sum of their products taken two at a time is 131 . their sum is | 0general |
by selling a book for 290 , 20 % profit was earned . what is the cost price of the book ? | 2gain |
if a number n is chosen at random from the set of two - digit integers whose digits are both prime numbers , what is the probability w that n is divisible by 3 ? | 0general |
a women purchased 3 towels @ rs . 100 each , 5 towels @ rs . 150 each and two towels at a certain rate which is now slipped off from his memory . but she remembers that the average price of the towels was rs . 170 . find the unknown rate of two towels ? | 0general |
a grocer has a sale of rs . 5266 , rs . 5768 , rs . 5922 , rs . 5678 and rs . 6029 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5600 ? | 0general |
in a certain pond , 40 fish were caught , tagged , and returned to the pond . a few days later , 40 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the ... | 2gain |
the guests at a football banquet consumed a total of 327 pounds of food . if no individual guest consumed more than 2 pounds of food , what is the minimum number of guests that could have attended the banquet ? | 0general |
a report consists of 20 sheets each of 55 lines and each such line consist of 65 characters . this report is retyped into sheets each of 65 lines such that each line consists of 70 characters . the percentage reduction in number of sheets is closest to | 2gain |
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