Problem stringlengths 5 967 | category class label 6
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a train 110 m long is running at 50 kmph . in how much time will it pass a platform 210 m long ? | 1physics |
a man buys an article for $ 100 . and sells it for $ 115 . find the gain percent ? | 2gain |
there was a cycle race going on . 1 / 5 th of the those in front of a person and 5 / 6 th of those behind him gives the total number of participants . how many people took part in the race ? | 0general |
at what rate percent on simple interest will rs . 1750 amount to rs . 2000 in 2 years ? | 2gain |
what is the least number which when divided by 5 , 6 , 7 and 8 leaves a remainder 3 , but when divided by 9 leaves no remainder ? | 0general |
what is the difference between the largest number and the least number written with the digits 7 , 3 , 1 , 4 ? | 0general |
if a light flashes every 30 seconds , how many times will it flash in 1 / 2 of an hour ? | 1physics |
what is the smallest positive integer k such that the product of 720 x k is a perfect square ? | 0general |
the ratio of two numbers is 2 : 3 and their h . c . f . is 6 . their l . c . m . is | 5other |
the speed at which a girl can row a boat in still water is 90 kmph . if she rows downstream , where the speed of current is 18 kmph , what time will he take to cover 330 metres ? | 1physics |
one hour after matthew started waking from q to y , a distance of 45 km , johnny started walking along the same road from y to q . matthew ' s walking rate was 3 km per hour and johnny ' s was 4 km per hour , how many km had johnny walked when they met ? | 1physics |
if 2 / w + 2 / x = 2 / y and wx = y , then the average ( arithmetic mean ) of w and x is | 0general |
a rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered . if the area of the field is 810 sq . feet , how many feet of fencing will be required ? | 3geometry |
the food in a camp lasts for 40 men for 45 days . if fifteen more men join , how many days will the food last ? | 1physics |
lionel left his house and walked towards walt ' s house , 48 miles away . four hours later , walt left his house and ran towards lionel ' s house . if lionel ' s speed was 3 miles per hour and walt ' s 6 miles per hour , how many miles had lionel walked when he met walt ? | 1physics |
a certain car can travel 72 kilometers on a liter of fuel . if the fuel tank ’ s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed , how fast is the car moving , in miles per hour ? ( 1 gallon = 3.8 liters ; 1 mile = 1.6 kilometers ) | 1physics |
find the probability that a leap year selected at random will have 53 sundays | 4probability |
a tank is 25 m long , 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 75 paise per sq . m , is : | 1physics |
if p is the product of the integers from 1 to 38 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of p ? | 0general |
find the average increase rate , if increase in the population in the first year is 30 % and that in the second year is 40 % . | 0general |
rs . 6000 is lent out in two parts . one part is lent at 4 % p . a simple interest and the other is lent at 10 % p . a simple interest . the total interest at the end of one year was rs . 450 . find the ratio of the amounts lent at the lower rate and higher rate of interest ? | 2gain |
the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of $ 800 per sq . metre . | 1physics |
? % of 360 = 115.2 | 2gain |
walking 7 / 6 of his usual rate , a boy reaches his school 2 min early . find his usual time to reach the school ? | 2gain |
what least number must be subtracted from 427398 so that remaining no . is divisible by 11 | 0general |
4 milkmen rented a pasture . a grazed 24 cows for 3 months , b 10 cows for 5 months , c 35 cows for 4 months and d 21 cows for 3 months . if a ’ s share of rent is rs . 720 , find the total rent of the field . | 0general |
500 , 250 , 750 , 375 . . . | 0general |
at present , the ratio between the ages of shekhar and shobha is 4 : 3 . after 6 years , shekhar ' s age will be 26 years . find out the age of shobha at present ? | 5other |
if ( a - b - c + d = 12 ) and ( a + b - c - d = 6 ) , what is the value of ( b - d ) ^ 2 ? | 0general |
ashok and pyarelal invested money together in a business and share a capital of ashok is 1 / 9 of that of pyarelal . if the incur a loss of rs 1000 then loss of pyarelal ? | 2gain |
what will be the cost of building a fence around a square plot with area equal to 81 sq ft , if the price per foot of building the fence is rs . 58 ? | 3geometry |
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 16 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ? | 2gain |
while driving from a - ville to b - town , harriet drove at a constant speed of 105 kilometers per hour . upon arriving in b - town , harriet immediately turned and drove back to a - ville at a constant speed of 145 kilometers per hour . if the entire trip took 5 hours , how many minutes did it take harriet to drive from a - ville to b - town ? | 1physics |
in a competitive examination in a state a , 10 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 12 % candidates got selected with 100 more candidates got selected than a . what was the number of candidates appeared from each state ? | 0general |
if it is assumed that 80 percent of those who receive a questionnaire by mail will respond and 300 responses are needed , what is the minimum number of questionnaires that should be mailed ? | 2gain |
when a number is divided by 6 & then multiply by 12 the answer is 13 what is the no . ? | 0general |
in arun ' s opinion , his weight is greater than 66 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 69 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ? | 0general |
find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 20 as remainder | 0general |
by selling 9 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ? | 2gain |
in a public show 62 % of the seats were filled . if there were 600 seats in the hall , how many seats were vacant ? | 2gain |
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 . 4576 , then what was the price of the article initially ? | 0general |
50 boys and 100 girls are examined in a test ; 50 % of the boys and 40 % of the girls pass . the percentage of the total who failed is ? | 0general |
if ( 5 ^ 5 ) ( 9 ^ 3 ) = 3 ( 15 ^ x ) , what is the value of x ? | 0general |
5356 x 51 = ? | 0general |
marts income is 60 percent more than tims income and tims income is 60 percent less than juans income . what percentage of juans income is marts income | 0general |
a man swims downstream 16 km and upstream 10 km taking 2 hours each time , what is the speed of the man in still water ? | 1physics |
the manufacturing cost of a shoe is rs . 190 and the transportation lost is rs . 500 for 100 shoes . what will be the selling price if it is sold at 20 % gains | 2gain |
what is the area of a circle having the same perimeter as that of a square whose area is 121 . | 3geometry |
the manager of a produce market purchased a quantity of tomatoes for $ 0.80 per pound . due to improper handling , 20 percent of the tomatoes , by weight , were ruined and discarded . at what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 percent of the cost of the tomatoes . | 2gain |
a sum fetched a total simple interest of rs . 4016.25 at the rate of 3 % p . a . in 5 years . what is the sum ? | 2gain |
what is the units digit of ( 498 ) ( 915 ) ( 381 ) ( 756 ) ( 29 ) | 0general |
a certain store sells all maps at one price and all books at another price . on monday the store sold 12 maps and 10 books for a total of $ 42.00 , and on tuesday the store sold 20 maps and 15 books for a total of $ 70.00 . at this store , how much less does a map sell for than a book ? | 0general |
angelo and isabella are both salespersons . in any given week , angelo makes $ 590 in base salary plus 8 percent of the portion of his sales above $ 1000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ? | 0general |
the least number which when divided by 2 , 3 , 5 and 6 leaves a remainder 3 , but when divided by 9 leaves no remainder , is | 0general |
how many 4 - digit numbers ( abcd ) can be formed such that | a – d | = 2 ? | 0general |
find the smallest number of 6 digits which is exactly divisible by 111 ? | 0general |
if the mean of numbers 28 , x , 42 , 78 and 104 is 90 , then what is the mean of 128 , 255 , 511 , 1023 and x ? | 0general |
a boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 12 minutes . how long will it take to go 5 km in stationary water ? | 1physics |
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 7 hrs if the speed of the bike is twice speed of the tractor ? | 0general |
the average of 64 numbers is 48 . if two numbers namely 35 and 45 are discarded , the average of remaining numbers is ? | 0general |
a caterer ordered 125 ice - cream bars and 125 sundaes . if the total price was $ 250.00 and the price of each ice - cream bar was $ 0.60 , what was the price of each sundae ? | 0general |
the sum of ages of 5 children born at the intervals of 3 years each is 65 years . what is the age of the youngest child ? | 0general |
a toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5 meters , at 10 meters per minute . however , the toy train is defective and it now produces only two different tunes at random . what is the probability that the toy train produces 3 music tunes of the same type ( 1 in _____ ) ? | 1physics |
evaluate : 56 - 12 * 3 * 2 = ? | 0general |
if a - b = 3 and a ^ 2 + b ^ 2 = 31 , find the value of ab . | 0general |
if x , y , and z are positive real numbers such that x ( y + z ) = 132 , y ( z + x ) = 152 , and z ( x + y ) = 180 , then xyz is | 0general |
a polling company surveyed a certain country , and it found that 35 % of that country ’ s registered voters had an unfavorable impression of both of that state ’ s major political parties and that 20 % had a favorable impression only of party q . if one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of party b , then what percentage of the country ’ s registered voters have a favorable impression of both parties ( assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only ) ? | 2gain |
there is enough provisions for 100 girls in a hostel for 50 days . if there were 20 men less , how long will the provision last ? | 1physics |
at present the ratio between the ages of arun and deepak is 4 : 3 . after 6 years arun ' s age will be 26 years . what is the age of the deepak ? | 5other |
what is the greatest integer m for which the number 40 ! / 14 ^ m is an integer ? | 0general |
the price of a book is increased from $ 300 to $ 480 . what is the % of increase in its price ? | 2gain |
m and n are the x and y coordinates , respectively , of a point in the coordinate plane . if the points ( m , n ) and ( m + p , n + 21 ) both lie on the line defined by the equation x = ( y / 7 ) - ( 2 / 5 ) , what is the value of p ? | 0general |
let a be the event that a randomly selected two digit number is divisible by 10 and let b be the event that a randomly selected two digit number is divisible by 5 . what is p ( a and b ) ? | 1physics |
in a group of cows and hens , the number of legs are 12 more than twice the number of heads . the number of cows is : | 0general |
find the least number which when divided by 12,24 , 36,42 leaves remainder 9,21 , 33,39 respectively . | 0general |
the difference between a 6 digit number and the number formed by reversing its digit is not a multiple of | 0general |
sandy is younger than molly by 12 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ? | 5other |
two pipes can fill a tank in 20 minutes and 15 minutes . an outlet pipe can empty the tank in 45 minutes . if all the pipes are opened when the tank is empty , then how many minutes will it take to fill the tank ? | 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 10 % . by approximately what percent would the output now have to be decreased in order to restore the original output ? | 0general |
a company recently conducted a survey and found that 25,000 of its customers live in rural areas . if the number of customers who live in urban areas is 120 percent greater than the number of customers who live in rural areas , how many customers live in urban areas ? | 2gain |
how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 142 m length ? | 1physics |
150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution . find the approximate concentration q of the acid in the mixture ? | 0general |
in measuring the sides of a rectangle , one side is taken 10 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements . | 3geometry |
if 2 x + y = 7 and x + 2 y = 5 , then 4 xy / 3 = ? | 0general |
rates for having a manuscript typed at a certain typing service are $ 5 per page for the first time a page is typed and $ 4 per page each time a page is revised . if a certain manuscript has 100 pages , of which 30 were revised only once , 20 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ? | 0general |
0.2 x 0.7 = ? | 0general |
the cost price of a radio is rs . 1860 and it was sold for rs . 1340 , find the loss % ? | 2gain |
in a kilometer race , a beats b by 16 meters or 10 seconds . what time does a take to complete the race ? | 1physics |
if 15 students in a class average 75 % on an exam and 10 students average 95 % on the same exam , what is the average in percent for all 25 students ? | 0general |
a boat crossed a lake from north to west at the speed of 5 km / h , entered a river and covered twice as much distance going upstream at 4 km / h . it then turned around and stopped at the south shore of the lake . if it averaged 3.6 km / h that day , what was its approximate downstream speed ? | 0general |
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 50 percent , what is the discount rate on pony jeans ? | 2gain |
a shopkeeper forced to sell at cost price , uses a 750 grams weight for a kilogram . what is his gain percent ? | 2gain |
uba capital recently bought brand new vehicles for office use . uba capital only went for toyota and honda and bought more of toyota than honda at the ratio of 9 : 1 . if 90 % of the toyota bought and 10 % of the honda bought were suv ã ¢ â ‚ ¬ â „ ¢ s . how many suv ã ¢ â ‚ ¬ â „ ¢ s did uba capital buy in the aforementioned purchase ? | 5other |
if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 171 games will be played during the tournament . find the number of participants . | 0general |
a contest will consist of n questions , each of which is to be answered eithertrueorfalse . anyone who answers all n questions correctly will be a winner . what is the least value of n for which the probability is less than 1 / 10 that a person who randomly guesses the answer to each question will be a winner ? | 0general |
a pipe takes a hours to fill the tank . but because of a leakage it took 3 times of its original time . find the time taken by the leakage to empty the tank | 1physics |
the average of 13 numbers is 60 . average of the first 7 of them is 56 and that of the last 7 is 61 . find the 8 th number ? | 0general |
a student got twice as many sums wrong as he got right . if he attempted 75 sums in all , how many did he solve correctly ? | 0general |
how much water should be added to 12 liters of a 20 % - solution of alcohol to reduce the concentration of alcohol in the solution by 75 % ? | 0general |
a sum of money lent out at s . i . amounts to rs . 710 after 2 years and to rs . 1020 after a further period of 5 years . the sum is ? | 0general |
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