Problem stringlengths 5 967 | category class label 6
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an = 2 an - 1 + 4 and qn = 4 qn - 1 + 8 for all n > 1 . if a 5 = q 4 and a 7 = 316 , what is the first value of n for which qn is an integer ? | 0general |
courtyard 3.78 meters long 5.95 meters wide is to be paved exactly with square tiles , all of the same size . what is the largest size of the tile which could be used for the purpose ? | 1physics |
in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 160 girls , the total number of students in the college is ? | 5other |
x is a positive integer less than 500 . when x is divided by 5 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? | 0general |
john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 4 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ? | 5other |
tough and tricky questions : word problems . a salesman ' s income consists of commission and base salary . his weekly income totals over the past 5 weeks have been $ 406 , $ 413 , $ 420 , $ 436 and $ 395 . what must his average ( arithmetic mean ) income over the next 5 weeks be to increase his average weekly income to $ 500 over the 10 - week period ? | 0general |
when a random experiment is conducted , the probability that event a occurs is 1 / 3 . if the random experiment is conducted 4 independent times , what is the probability that event a occurs exactly twice ? | 0general |
if 16 % of 40 % of a number is 6 , then the number is | 2gain |
one day a car rental agency rented 2 / 3 of its cars , including 3 / 5 of its cars with cd players . if 3 / 5 of its cars have cd players , what percent of the cars that were not rented had cd players ? | 0general |
a certain number when divided by 39 leaves a remainder 19 , what is the remainder when the same number is divided by 13 ? | 0general |
if the price of gasoline increases by 20 % and a driver intends to spend only 8 % more on gasoline , by how much percent should the driver reduce the quantity of gasoline that he buys ? | 0general |
the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 50 kg . what might be the weight of the new person ? | 0general |
machine a can finish a job in 4 hours , machine в can finish the job in 2 hours , and machine с can finish the job in 6 hours . how many hours will it take for a , b , and с together to finish the job ? | 1physics |
a cubical block of metal weighs 3 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? | 3geometry |
two coins are tossed . find the probability of at most 2 tails ? | 4probability |
a trader sells 85 meters of cloth for rs . 8925 at the profit of rs . 35 per metre of cloth . what is the cost price of one metre of cloth ? | 1physics |
how many seconds will a train 200 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ? | 1physics |
a sum of rs . 427 is to be divided among a , b and c in such a way that 3 times a ’ s share , 4 times b ’ s share and 7 times c ’ s share are all equal . the share of c is | 0general |
find the average of first 4 multiples of 12 ? | 0general |
there is a rectangular prism made of 1 in cubes that has been covered in tin foil . there are exactly 128 cubes that are not touching any tin foil on any of their sides . if the width of the figure created by these 128 cubes is twice the length and twice the height , what is the p measure in inches of the width of the foil covered prism ? | 3geometry |
if 15 students in a class average 80 % on an english exam and 10 students average 90 % on the same exam , what is the average in percent for all 25 students ? | 0general |
a man sitting in a train which is traveling at 50 kmph observes that a goods train , traveling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed | 1physics |
how many positive factors do 160 and 96 have in common ? | 5other |
how many odd prime numbers are there less than 50 ? | 0general |
at a local appliance manufacturing facility , the workers received a 15 % hourly pay raise due to extraordinary performance . if one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged , by approximately what percent would he reduce the number of hours that he worked ? | 2gain |
if the simple interest on $ 2000 increase by $ 40 , when the time increase by 4 years . find the rate percent per annum . | 2gain |
in a room filled with 7 people , 4 people have exactly 1 sibling in the room and 3 people have exactly 2 siblings in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ? | 0general |
working at their respective constant rates , machine a makes 100 copies in 12 minutes and machine b makes 150 copies in 15 minutes . if these machines work simultaneously at their respective rates for 30 minutes , what is the total number of copies that they will produce ? | 1physics |
which number can we add to 897326 to get a number exactly divisible by 456 ? | 0general |
when two dice are rolled , what is the probability that the sum is either 7 or 11 ? | 4probability |
the radius of a wheel is 24.2 cm . what is the distance covered by the wheel in making 500 resolutions ? | 1physics |
after spending rs . 5000 on rent , rs . 1500 on milk , rs . 4500 on groceries , rs . 2500 on childrens education rs . 2000 on petrol and rs . 3940 on miscellaneous expenses , mr . kishore saved 10 % of his monthly salary . how much did he save in rs . ? | 0general |
the standard deviation of a normal distribution of data is 2 , and 3 standard deviations below the mean is greater than 44 . what is a possible value for the mean of the distribution ? | 0general |
the set x = { 78 , 910 } . the set y = { 23 , 45 } . we will randomly choose one element x from set x and one element y from set y . what is the probability that x / y will be an integer ? | 0general |
what is the value of 4 ^ 5 + 4 ^ 8 ? | 0general |
john bought a total of 12 mangoes and oranges . each mango costs 80 cents and each orange costs 50 cents . if the average price of the 12 mangoes and oranges that john originally purchased was 65 cents , then how many oranges needs to return to raise the average price of his purchase to 72 cents ? | 0general |
two vessels contains equal number of mixtures milk and water in the ratio 4 : 2 and 5 : 1 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? | 5other |
for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 201 ? | 0general |
in what time will a train 90 m long cross an electric pole , it its speed be 72 km / hr ? | 1physics |
a can give b 200 meters start and c 400 meters start in a kilometer race . how much start can b give c in a kilometer race ? | 1physics |
a reduction of 40 % in the price of bananas would enable a man to obtain 65 more for rs . 40 , what is reduced price per dozen ? | 2gain |
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 20 % while buying and by 10 % while selling . what is his percentage profit ? | 2gain |
for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 115 units raises the average to 55 units per day , what is the value of n ? | 0general |
the h . c . f . of two numbers is 11 and their l . c . m . is 7700 . if one of the numbers is 275 , then the other is : | 1physics |
excluding stoppages , the speed of a bus is 54 kmph and including stoppages , it is 41 kmph . for how many minutes does the bus stop per hour ? | 1physics |
a train length 100 m going with speed 10 m / sec another train 150 m long going with speed 15 m / sec . the distance between two train is 50 m . then how much time second train will take to cross the first train ? | 1physics |
one copy machine can make 15 copies a minute , and a second copy machine makes 10 copies a minute . if the two copiers work together , how long would it take them to make 1,000 copies ? | 1physics |
a and b start walking towards each other at 6 pm at speed of 6 kmph and 4 kmph . they were initially 50 km apart . at what time do they meet ? | 1physics |
what is the units digit of 33 ^ 2 * 17 ^ 3 * 49 ^ 3 ? | 0general |
solution y is 30 percent liquid x and 70 percent water . if 2 kilograms of water evaporate from 10 kilograms of solution y and 2 kilograms of solution y are added to the remaining 6 kilograms of liquid , what percent of this new solution is liquid x ? | 2gain |
water is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour . if the empty rectangular tank is 6 feet long , 4 feet wide , and 3 feet deep , approximately how many hours does it take to fill the tank ? | 1physics |
two pipes a and b can separately fill a cistern in 60 min and 75 min respectively . there is a third pipe in the bottom of the cistern to empty it . if all the 3 pipes are simultaneously opened , then the cistern is full in 50 min . in how much time , the third pipe alone can empty the cistern ? | 2gain |
a and b undertake to do a piece of work for rs . 1200 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . find the share of b . | 1physics |
a trader sells 92 meters of cloth for rs . 9890 at the profit of rs . 24 per metre of cloth . what is the cost price of one metre of cloth ? | 1physics |
what is the least value of x . so that 21 x 57 is divisible by 3 . | 0general |
the ratio of numbers is 3 : 4 and their h . c . f is 3 . their l . c . m is : | 5other |
the average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg . what is the correct weight ? | 0general |
the sale price sarees listed for rs . 400 after successive discount is 30 % and 20 % is ? | 2gain |
a runs 1 ¾ times as fast as b . if a gives b a start of 84 m , bow far must winning post be so that a and b might reach it at the same time ? | 1physics |
a box contains 13 apples , 12 of which are red . an apple is drawn from the box and its color is noted before it is eaten . this is done a total of n times , and the probability that a red apple is drawn each time is less than 0.5 . what is the smallest possible value of n ? | 0general |
a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 40 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what percent of the list price is the lowest possible sale price ? | 0general |
a = { 2 , 3 , 5 , 7 , 11 } b = { 2 , 4 , 6 , 19 } two integers will be randomly selected from sets a and b , one integer from set a and one from set b , and then multiplied together . how many different products can be obtained ? | 0general |
if one - seventh of a number exceeds its eleventh part by 100 then the number is … | 0general |
a regular 10 sided area is inscribed in a circle . if a and b are adjacent vertices of the pentagon and o is the center of the circle , what is the value of ∠ oab ? | 3geometry |
a rower whose speed is 6 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 3 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? | 0general |
list i : 3 , 4 , 8 , 19 list ii : x , 3 , 4 , 8 , 19 | 0general |
there are 4 more women than there are men on a local co - ed softball team . if there are a total of 20 players on the team , what is the ratio of men to women ? | 0general |
it is currently 9 : 53 pm . what time was it in the morning exactly 149,061 minutes ago ? | 1physics |
a man can row his boat with the stream at 20 km / h and against the stream in 4 km / h . the man ' s rate is ? | 2gain |
6 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ? | 0general |
the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 51 kmph , find the speed of the stream ? | 1physics |
the average ( arithmetic man ) of 3 integers a , b , and c is exactly 4 times the median . if a < b < c and a = 0 , what is the value of c / b ? | 0general |
in 1950 , richard was 4 times as old as robert . in 1955 , richard was 3 times as old as robert . in which year was richard 1.75 times as old as robert ? | 0general |
raman ' s salary was decreased by 50 % and subsequently increased by 50 % . how much percent does he loss | 2gain |
a dishonest shopkeeper professes to sell pulses at the cost price , but he uses a false weight of 930 gm . for a kg . his gain is … % . | 2gain |
the majority owner of a business received 25 % of the profit , with each of 4 partners receiving 25 % of the remaining profit . if the majority owner and two of the owners combined to receive $ 62,500 , how much profit did the business make ? | 2gain |
when a random experiment is conducted , the probability that event a occurs is 1 / 5 . if the random experiment is conducted 4 independent times , what is the probability that event a occurs exactly twice ? | 0general |
two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.10 km and 0.9 km respectively . the time taken by the slower train to cross the faster train in seconds is : | 1physics |
a 6 - liter solution is 30 % alcohol . how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol ? | 0general |
find the average of all the numbers between 17 and 32 which are divisible by 3 . | 0general |
a boat can travel with a speed of 13 km / hr in still water . if the speed of the stream is 4 km / hr . find the time taken by the boat to go 72 km downstream ? | 1physics |
if you add all the numbers on your mobile phone , what is the answer ? | 0general |
what is the sum of the integers from - 190 to 192 inclusive ? | 0general |
if $ 650 is deposited into a savings account at an annual interest rate of 5 % that compounds monthly , what is the value of the investment after 7 years ? | 2gain |
in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but 15 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ? | 2gain |
the jogging track in a sports complex is 561 m in circumference . deepak and his wife start from the same point and walk in opposite directions at 4.5 km / hr and 3.75 km / hr respectively . they will meet for the first time in ? | 0general |
at a small company , 76 percent of the employees are women , and 60 percent of the employees are married . if 2 / 3 of the men are single , what fraction of the women are married ? | 2gain |
a shopkeeper sells 20 % of his stock at 25 % profit ans sells the remaining at a loss of 5 % . he incurred an overall profit of rs . 400 . find the total worth of the stock ? | 2gain |
a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 340 million , approximately what was the percent increase in sales ? | 0general |
each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 36 have long fur , 27 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ? | 5other |
an army ’ s recruitment process included n rounds of selection tasks . for the first a rounds , the rejection percentage was 60 percent per round . for the next b rounds , the rejection percentage was 50 percent per round and for the remaining rounds , the selection percentage was 70 percent per round . if there were 10000 people who applied for the army and 98 were finally selected , what was the value of n ? | 0general |
a walks at 30 kmph and 30 hours after his start , b cycles after him at 55 kmph . how far from the start does b catch up with a ? | 1physics |
a certain protective additive increases from 20 days to 25 days the time between required maintenance checks on an industrial vehicle . by what percent is the time between maintenance checks increased by using the additive ? | 0general |
a $ 500 investment and a $ 1,500 investment have a combined yearly return of 13 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1,500 investment have ? | 2gain |
the monthly rent of a shop of dimension 20 feet × 15 feet is rs . 3600 . what is the annual rent per square foot of the shop ? | 3geometry |
liam is pulled over for speeding just as he is arriving at work . he explains to the police officer that he could not afford to be late today , and has arrived at work only four minutes before he is to start . the officer explains that if liam had driven 5 mph slower for his whole commute , he would have arrived at work exactly on time . if liam ' s commute is 40 miles long , how fast was he actually driving ? ( assume that liam drove at a constant speed for the duration of his commute . ) | 1physics |
an article costing rs . 160 is sold at 20 % discount on a mark - up price . what is the selling price after discount ? | 2gain |
75 % of x is greater than 1 / 3 rd of x by 110 . what is x ? | 0general |
there are 8 stores in town that had a total of 21 visitors on a particular day . however , only 12 people went shopping that day ; some people visited more than one store . if 8 people visited exactly two stores each , and everyone visited at least one store , what is the largest number of stores anyone could have visited ? | 0general |
indu gave bindu rs . 2500 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ? | 2gain |
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