Problem stringlengths 5 967 | category class label 6
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the average of 10 consecutive integers is 25 . then , 9 is deducted from the first consecutive number , 8 is deducted from the second , 7 is deducted form the third , and so on until the last number which remains unchanged . what is the new average ? | 0general |
if 0.75 : x : : 5 : 11 , then x is equal to : | 0general |
an empty fuel tank is filled with brand z gasoline . when the tank is 3 / 4 empty , it is filled with brand x gasoline . when the tank is half empty again , it is filled with brand z gasoline . when the tank is half empty again , it is filled with brand x gasoline . at this time , what percent of the gasoline in the tank is brand z ? | 2gain |
there are 9 teams in a certain league and each team plays each of the other teams exactly once . what is the total number of games played ? | 0general |
what is the value of â ˆ š 25 % ? | 2gain |
in how many years rs 160 will produce the same interest at 8 % as rs . 500 produce in 4 years at 8 % | 2gain |
of 15 applicants for a job , 7 had at least 4 years ' experience , 9 had degrees , and 1 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ? | 0general |
simple interest on a certain sum of money for 5 years at 8 % per annum is half the compound interest on rs . 8000 for 2 years at 15 % per annum . the sum placed on simple interest is | 2gain |
for each color copy , print shop x charges $ 1.25 and print shop y charges $ 2.75 . how much greater is the charge for 80 color copies at print shop y than at print shop x ? | 0general |
in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,8 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? | 3geometry |
three cubes of metal whose edges are 9 , 12 and 24 cm respectively , are melted and one new cube is made . find the edge of the new cube ? | 1physics |
the speed of a boat in still water is 15 km / hr and the rate of current is 3 km / hr the distance travelled downstream in 12 minutes is : | 1physics |
two cubes each with side b are joined to form a cuboids . what is the surface area of this cuboids ? | 3geometry |
bob is attempting to feed his pets . he feeds his pets as follows : - no dog receives more food than any other dog - no cat receives any less food than any other cat - the cats , as a group , receive exactly as much food as a single dog if bob has 7 dogs and 4 cats , approximately what percentage of the food bag does a cat receive ? | 0general |
in the xy - coordinate plane , the graph of y = - x ^ 2 + 9 intersects line l at ( p , 5 ) and ( t , 7 ) . what is the least possible value of the slope of line l ? | 0general |
what is the least number of square tiles required to pave the floor of a room 11 m 50 cm long and 1 m 50 cm broad ? | 1physics |
in a cricket match , 5 batsmen a , b , c , d and e scored an average of 36 runs . d scored 5 more than e ; e scored 8 fewer than a ; b scored as many as d and e combined ; and b and c scored 107 between them . how many runs did e score ? | 0general |
a property decreases in value every year at the rate of 6 1 / 4 % of its value at the beginning of the year its value at the end of 3 years was rs . 21093 . find its value at the beginning of the first year ? | 2gain |
the speed at which a man can row a boat in still water is 24 kmph . if he rows downstream , where the speed of current is 8 kmph , what time will he take to cover 40 metres ? | 1physics |
a manufacturing company has 15 % cobalt , 25 % led and 60 % of copper . if 5 kg of led is used in a mixture how much copper we need to use | 0general |
in a simultaneous throw of pair of dice . find the probability of getting the total more than 7 ? | 0general |
the smallest number which when diminished by 15 , is divisible 10 , 15 , 25 , 30 and 35 is : | 0general |
the length of the longest tape in cm which can be used to measure exactly , the length 7 m ; 3 m 85 cm ; and 12 m 95 cm is : | 1physics |
a rectangular box measures internally 1.6 m long , 1 m broad and 60 cm deep . the number of cubical blocks each of edge 20 cm that can be packed inside the box is | 1physics |
two pipes can fill a tank in 12 minutes and 15 minutes . an outlet pipe can empty the tank in 10 minutes . if all the pipes are opened when the tank is empty , then how many minutes will it take to fill the tank ? | 1physics |
an article with cost price of 192 is sold at 25 % profit . what is the selling price ? | 2gain |
two pipes a and b can fill a tank in 50 hour and 75 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ? | 1physics |
how many integers from 0 to 50 inclusive have a remainder of 3 when divided by 7 ? | 0general |
addison high school ’ s senior class has 160 boys and 200 girls . if 75 % of the boys attended the college and 40 % of the girls did not attend the college , what percentage of the total class attended college ? | 0general |
if x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year , the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $ 92 . if $ 2,000 is the total amount invested , how much is invested at 8 percent ? | 0general |
there is a 30 % increase in the price of an article in the first year , a 20 % decrease in the second year and a 10 % increase in the next year . if the final price of the article is rs . 3432 , then what was the price of the article initially ? | 0general |
the balance of a trader weighs 10 % less than it should . still the trader marks up his goods to get an overall profit of 40 % . what is the mark up on the cost price ? | 2gain |
jaclyn buys $ 60 000 worth of debentures in a company . she earns 9.5 % p . a . simple interest , paid to her quarterly ( that is , every 3 months ) . if the agreed period of the debenture was 18 months : calculate the amount of interest jaclyn will earn for each quarter | 2gain |
danny obtained 76 , 65 , 82 , 67 and 75 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? | 0general |
in the land of oz only one or two - letter words are used . the local language has 69 different letters . the parliament decided to forbid the use of the seventh letter . how many words have the people of oz lost because of the prohibition ? | 0general |
a candidate got 35 % of the votes and lost to the rival by 2400 votes . how many votes were cast ? | 2gain |
a bag contains 9 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is | 5other |
speed of a boat in standing water is 8 kmph and speed of the stream is 0.5 kmph . a man can rows to a place at a distance of 105 km and comes back to the starting point . the total time taken by him is ? | 1physics |
a , b and c started a business with a total investment of rs . 90000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find a ' s share . | 0general |
on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with twice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.40 per glass on the first day , what was the price per glass on the second day ? | 0general |
the largest four - digit number which is a perfect cube , is | 3geometry |
a number when divided by 6 leaves a remainder 3 . when the square of the same number is divided by 6 , the remainder is | 3geometry |
the contents of a certain box consist of 40 apples and 30 oranges . how many oranges must be added to the box so that exactly 40 % of the pieces of fruit in the box will be apples ? | 0general |
two numbers are in the ratio 5 : 8 and thier h . c . f is 4 . find the numbers . | 5other |
a ' s speed is 20 / 13 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that b beats a by 60 % of the length of the race ? | 0general |
a contract is to be completed in 46 days sad 117 men were said to work 8 hours a day . after 33 days , ( 4 / 7 ) of the work is completed . how many additional men may be employed so that the work may be completed in time , each man now working 9 hours a day ? | 1physics |
a person borrows 1000000 for 7 years at 3 % p . a . simple interest . he immediately lends it to another person at 5 % p . a . for 7 years . find his gain in the transaction per year . | 2gain |
12 : 21 : : 31 : ? | 0general |
if ( n + 2 ) ! / n ! = 72 , n = ? | 0general |
a room 5 m 55 cm long and 3 m 74 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor | 1physics |
the ages of two persons differ by 16 years . if 6 years agao , the elder one be 3 times as old as the younger one , find their present ages . | 0general |
working at a constant rate , p can finish a job in 4 hours . q , also working at a constant rate , can finish the same job in 15 hours . if they work together for 3 hours , how many more minutes will it take p to finish the job , working alone at his constant rate ? | 1physics |
a man walking at the speed of 4 kmph crosses a square field diagonally in 3 minutes . the area of the field is : | 1physics |
how many positive integers less than 256 are multiple of 4 but not multiples of 6 ? | 0general |
jill invests $ 10000 in an account that pays an annual rate of 3.96 % , compounding semi - annually . approximately how much e does she have in her account after two years ? | 2gain |
two numbers are respectively 19 % and 40 % more than a third number . the percentage that is first of the second is ? | 2gain |
the c . p of 5 books is equal to the s . p of 20 books . find his gain % or loss % ? | 2gain |
for all positive integers m and v , the expression m θ v represents the remainder when m is divided by v . what is the value of ( ( 90 θ 33 ) θ 17 ) - ( 99 θ ( 33 θ 17 ) ) ? | 0general |
convert the 10 / 36 m / s into kilometers per hour ? | 1physics |
what is the remainder when 9 ^ 1 + 9 ^ 2 + 9 ^ 3 + . . . + 9 ^ 9 is divided by 3 ? | 0general |
if the price of gasoline increases by 25 % and a driver intends to spend only 10 % more on gasoline , by how much percent should the driver reduce the quantity of gasoline that he buys ? | 0general |
a square was given . inside the square there are white tiles and black tiles . black tiles was among the diagonal of the square and dimensions of both white as well as black tiles is 1 cm x 1 cm . if there are 81 black tiles in the square . then find the no of white tiles in it . | 3geometry |
if each edge of cube increased by 15 % , the percentage increase in | 2gain |
the average age of 16 students of a class is 16 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years , the age of the 12 th student is | 0general |
the difference between the place value and the face value of 8 in the numeral 856973 is | 0general |
the average speed of a car is 1 4 / 5 times the avg speed of a bike . a tractor covers 575 km in 23 hrs . how much distance will the car cover in 6 hrs if the speed of the bike is twice speed of the tractor ? | 0general |
33 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ? | 1physics |
john makes $ 65 a week from his job . he earns a raise andnow makes $ 70 a week . what is the % increase ? | 2gain |
an error 38 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ? | 2gain |
if n is a positive integer , what is the remainder when ( 7 ^ ( 4 n + 3 ) ) ( 3 ^ n ) is divided by 10 ? | 0general |
in kaya ' s teacher ' s desk there are 6 pink highlighters , 2 yellow highlighters , and 4 blue highlighters . how many highlighters are there in all ? | 0general |
if a speaks the truth 20 % of the times , b speaks the truth 80 % of the times . what is the probability that at least one will tell the truth | 2gain |
a man can do a piece of work in 15 days , but with the help of his son , he can do it in 6 days . in what time can the son do it alone ? | 1physics |
how many of the positive factors of 45 , 16 and how many common factors are there in numbers ? | 5other |
what is the unit ’ s digit of 7 ^ 5 | 0general |
if y is the smallest positive integer such that 8820 multiplied by y is the square of an integer , then y must be | 3geometry |
if 20 typists can type 60 letters in 20 minutes , then how many letters will 30 typists working at the same rate complete in 1 hour ? | 1physics |
a batsman makes a score of 85 runs in the 17 th inning and thus increases his averages by 3 . find his average after 17 th inning ? | 0general |
of the families in city x in 1998 , 20 percent owned a personal computer . the number of families in city x owning a computer in 2002 was 40 percent greater than it was in 1998 , and the total number of families in city x was 8 percent greater in 2002 than it was in 1998 . what percent of the families in city x owned a personal computer in 2002 ? | 0general |
three unbiased coins are tossed . what is the probability of getting 3 heads ? | 4probability |
three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 240 . their h . c . f . is : | 5other |
if the radius of a circle is increased by 10 % then the area is increased by : | 3geometry |
217 x 217 + 183 x 183 = ? | 0general |
kim has 6 pairs of shoes ; each pair is a different color . if kim randomly selects 2 shoes without replacement from the 12 shoes , what is the probability that she will select 2 shoes of the same color ? | 4probability |
in a kilometer race , a beats b by 40 meters or 10 seconds . what time does a take to complete the race ? | 1physics |
a crow leaves its nest , and flies back and forth from its nest to a nearby ditch to gather worms . the distance between the nest and the ditch is 100 meters . in one and a half hours , the crow manages to bring worms to its nest 15 times . what is the speed of the crow in kilometers per hour ? | 1physics |
s is a set of 100 consecutive multiples of 8 . if the smallest number in s is 108 , then the greatest number in s is | 0general |
the batting average of a particular batsman is 62 runs in 46 innings . if the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs , find his highest score . | 0general |
what is the greatest value of positive integer x such that 2 ^ x is a factor of 100 ^ 50 ? | 0general |
a towel , when bleached , lost 10 % of its length and 20 % of its breadth . what is the percentage decrease in area ? | 2gain |
if 5 ^ 5 × 5 ^ 7 = ( 5 ^ 4 ) ^ x , then what is the value of x ? | 0general |
in a group of cows and hens , the number of legs are 16 more than twice the number of heads . the number of cows is | 0general |
on rainy mornings , mo drinks exactly n cups of hot chocolate ( assume that n is an integer ) . on mornings that are not rainy , mo drinks exactly 2 cups of tea . last week mo drank a total of 16 cups of tea and hot chocolate together . if during that week mo drank 4 more tea cups than hot chocolate cups , then how many rainy days were there last week ? | 0general |
if the price of a tv is first decreased by 20 % and then increased by 30 % , then the net change in the price will be : | 0general |
equal amount of water were poured into two empty jars of different capacities , which made one jar 1 / 5 full and other jar 1 / 4 full . if the water in the jar with lesser capacity is then poured into the jar with greater capacity , what fraction of the larger jar will be filled with water ? | 0general |
if the average ( arithmetic mean ) of x + 3 , x + 4 , and x + 5 is 0 , then x = | 0general |
dan can do a job alone in 15 hours . annie , working alone , can do the same job in just 10 hours . if dan works alone for 6 hours and then stops , how many hours will it take annie , working alone , to complete the job ? | 1physics |
when processing flower - nectar into honey bees ' extract , a considerable amount of water gets reduced . how much flower - nectar must be processed to yield 1 kg of honey , if nectar contains 50 % water , and the honey obtained from this nectar contains 20 % water ? | 0general |
in a throw of dice what is the probability of ge æ « ing number greater than 2 | 4probability |
find the area of a cuboid of length 8 cm , breadth 10 cm . and height 12 cm . | 1physics |
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