Problem stringlengths 5 967 | category class label 6
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a special municipal payroll tax charges not tax on a payroll less than $ 300,000 and only 1 % on a company ’ s payroll above $ 300,000 . if belfried industries paid $ 200 in this special municipal payroll tax , then they must have had a payroll of ? | 0general |
the compound interest earned by sunil on a certain amount at the end of two years at the rate of 8 % p . a . was rs . 2828.80 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned . | 2gain |
in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability r this college graduate has a graduate degree ? | 5other |
if a / b = 5 / 4 , then ( 4 a + 3 b ) / ( 4 a - 3 b ) = ? | 0general |
total 63 matches are conducted in knockout match type . how many players will be participated in that tournament ? | 0general |
if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2012 ) = ? | 0general |
what is ( 21 ^ 7 + 21 ) / 21 ? | 0general |
if 102 x = 25 , then 10 - x equals : | 0general |
in an examination 35 % of the students passed and 520 failed . how many students appeared for the examination ? | 2gain |
a cube has a volume of 343 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? | 3geometry |
a train crosses a platform of 170 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ? | 1physics |
a 6 litre sol is 25 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ? | 2gain |
sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m , the cost of fencing it at 40 ps per meter is ? | 1physics |
the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2 . if at the end of the year , each saves rs . 2000 , then what is the income of p 1 ? | 5other |
cubes with each side one inch long are glued together to form a larger cube . the larger cube ' s face is painted with red color and the entire assembly is taken apart . 26 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? | 3geometry |
in a certain quiz that consists of 10 questions , each question after the first is worth 4 points more than the preceding question . if the 10 questions on the quiz are worth a total of 320 points , how many points is the third question worth ? | 0general |
it takes 30 days to fill a laboratory dish with bacteria . if the size of the bacteria doubles each day , how long did it take for the bacteria to fill 1 / 32 of the dish ? | 0general |
rahim bought 32 books for rs . 1500 from one shop and 60 books for rs . 340 from another . what is the average price he paid per book ? | 0general |
the average of numbers 0.64204 , 0.64203 , 0.64202 and 0.64201 is ? | 0general |
there are 16 teams in a tournament . if during the first round , each team plays every other team exactly once , how many games will be played in the first round ? | 0general |
there are 193 items that are members of set u . of these items , 49 are members of set b , 59 are not members of either of set a or set b , and 25 are members of both sets a and b . how many of the members of set u are members of set a ? | 5other |
18 balls are numbered 1 to 18 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ? | 5other |
what is the probability that the sum of two dice will yield a 8 , and then when both are thrown again , their sum will again yield a 8 ? assume that each die has 7 sides with faces numbered 1 to 7 . | 4probability |
two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 15 seconds . find the length of the faster train ? | 1physics |
a man swims downstream 72 km and upstream 45 km taking 12 hours each time ; what is the speed of the current ? | 1physics |
find the simple interest on rs . 850 for 10 months at 7 paisa per month ? | 2gain |
sandy bought 65 books for $ 1480 from one shop and 55 books for $ 920 from another shop . what is the average price that sandy paid per book ? | 0general |
how many of the positive divisors d of 120 are also multiples of 4 not including 120 ? | 0general |
calculate 1307 x 1307 = ? | 0general |
the hcf and lcm of two numbers m and n are respectively 6 and 210 . if m + n = 80 , then 1 / m + 1 / n is equal to | 0general |
bottle r contains 100 capsules and costs $ 6.30 . bottle t contains 130 capsules and costs $ 2.99 . what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ? | 0general |
in a certain animal population , for each of the first 3 months of life , the probability that an animal will die during that month is 1 / 10 . for a group of 250 newborn members of the population , approximately how many would be expected to survive the first 3 months of life ? | 4probability |
if 3 a = 4 b and ab ≠ 0 , what is the ratio of a / 4 to b / 3 ? | 0general |
what is the smallest integer x such that 2 x + 2 is divisible by 33 , 44 , 55 , and 666 ? | 0general |
if 12 men do a work in 80 days , in how many days will 20 men do it ? | 1physics |
5358 x 81 = ? | 0general |
if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 126 , what is the common ratio of the g . p ? | 5other |
there are 6 chess amateurs playing in villa ' s chess club tournament . if each chess amateur plays with exactly 15 other amateurs , what is the total number of chess games possible to be played in the tournament ? | 0general |
tough and tricky questions : probability . medical analysts predict that a quarter of all people who are infected by a certain biological agent could be expected to be killed for each day that passes during which they have not received an antidote . what fraction of a group of 1000 people could be expected to be killed if infected and not treated for 3 full days ? | 0general |
if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 10800 ? | 0general |
in 1985 a company sold a brand of shoes to retailers for a fixed price per pair . in 1986 the number of pairs of the shoes that the company sold to retailers decreased by 20 percent , while the price per pair increased by 20 percent . if the company ’ s revenue from the sale of the shoes in 1986 was $ 3.0 million , what was the approximate revenue from the sale of the shoes in 1985 ? | 0general |
the ratio of the volumes of two cubes is 3375 : 1331 . what is the ratio of their total surface areas ? | 3geometry |
a company has two types of machines , type r and type s . operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 2 hours . if the company used the same number of each type of machine to do job in 12 hours , how many machine r were used ? | 2gain |
the difference between compound and simple interest on a particular sum of money for 3 years at 6 and 2 / 3 % p . a is rs . 184 . what is the sum ? | 0general |
triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 36 , what is the measure of side xy ? | 3geometry |
at 6 ′ o a clock ticks 6 times . the time between first and last ticks is 40 seconds . how long does it tick at 12 ′ o clock | 1physics |
the sum of two numbers is 12 and the product of the numbers is 35 . find sum of the squares of that numbers . | 0general |
the balance of a trader weighs 20 % less than it should . still the trader marks up his goods to get an overall profit of 30 % . what is the mark up on the cost price ? | 2gain |
it takes 2 workers a total of 12 hours to build a giant machine with each worker working at the same rate . if 3 workers start to build the machine at 11 : 00 am , and one extra worker per hour is added beginning at 2 : 00 pm , at what time will the machine be complete ? | 0general |
find the number , difference between number and its 3 / 5 is 50 . | 0general |
in a coconut grove , ( x + 3 ) trees yield 60 nuts per year , x trees yield 120 nuts per year and ( x – 3 ) trees yield 180 nuts per year . if the average yield per year per tree be 100 , find x . | 0general |
jill invests $ 10000 in an account that pays an annual rate of 3.96 % , compounding semi - annually . approximately how much w does she have in her account after two years ? | 2gain |
a 290 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ? | 1physics |
find the average of all prime numbers between 4 and 15 . | 0general |
100 people are attending a newspaper conference . 40 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ? | 5other |
a milkman purchases the milk at rs . x per litre and sells it at rs . 2 x per litre still he mixes 2 litres water with every 6 litres of pure milk . what is the profit percentage ? | 2gain |
a and b can do a work in 12 days , b and c in 15 days , c and a in 20 days . if a , b and c work together , they will complete the work in : | 1physics |
a person distributed 15 % of his income to his 3 children each . he deposited 30 % of his income to his wife ' s account . he donated 10 % of remaining amount to an orphan house . finally he has $ 40000 . find his total income ? | 2gain |
how many positive integers less than 250 are there such that they are multiples of 15 or multiples of 14 ? | 0general |
a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 240 m long ? | 1physics |
a train 300 meters long completely crosses a 300 meters long bridge in 45 seconds . what is the speed of the train is ? | 1physics |
how long does a train 165 meters long running at the rate of 72 kmph take to cross a bridge 660 meters in length ? | 1physics |
how many integers from 101 to 700 , inclusive , remains the value unchanged when the digits were reversed ? | 0general |
what sum of money put at c . i amounts in 2 years to rs . 8800 and in 3 years to rs . 9261 ? | 0general |
find the value of x . ( 47 % of 1442 - 36 % of 1412 ) + 63 = x ? | 0general |
if in a certain code ` ` range ' ' is coded as 12345 and ` ` random ' ' is coded as 123678 . then the code for the word ` ` gone ' ' would be | 0general |
if henry were to add 4 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ? | 0general |
a train 120 m long crosses a platform with a speed of 60 kmph in 15 sec ; find the length of the platform ? | 1physics |
a sum fetched a total simple interest of rs . 4016.25 at the rate of 5 % p . a . in 5 years . what is the sum ? | 2gain |
a man rows his boat 84 km downstream and 48 km upstream , taking 2 hours each time . find the speed of the stream ? | 1physics |
ratio between length and breath of a rectangle is 25 : 16 . the area of the rectangle is same with a square whose side is 200 . find the breadth and length of the rectangle ? | 3geometry |
what number has a 20 : 1 ratio to the number 10 ? | 5other |
the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 146 , what is the difference between the ages of patrick and monica ? | 0general |
mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.3 more than the next one below it in size . what was the cost , in dollars , of the largest pot ? | 0general |
what quantity of water should taken out to concentrate 15 liters of 40 % acidic liquid to 60 % acidic liquid ? | 2gain |
what is the remainder when 9 ^ 19 is divided by 5 ? | 0general |
eight identical machines can produce 360 aluminum cans per hour . if all of the machines work at the same constant rate , how many cans could 5 such machines produce in 5 hours ? | 1physics |
a trained covered x km at 65 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km . | 0general |
what is the remainder when 2676 * 1487 * 4459 is divided by 12 | 0general |
ms . lopez deposits $ 140 in an account that pays 20 % interest , compounded semiannually . how much money will there be in the account at the end of one year ? | 2gain |
a train running at the speed of 72 km / hr crosses a pole in 9 seconds . what is the length of the train ? | 1physics |
the speed at which a man can row a boat in still water is 20 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 60 metres ? | 1physics |
a 16 % stock yielding 14 % is quoted at : | 2gain |
in filling a lot with sand , that is 40 m * 20 m * 2 m the volumes of the sand filled will be ? | 1physics |
the value of ( ( x – y ) ³ + ( y - z ) ³ + ( z – x ) ³ ) / ( 15 ( x – y ) ( y – z ) ( z – x ) ) is equal to : | 0general |
a is the product of each integer from 1 to 50 , inclusive and b = 100 ^ k , where k is an integer . what is the greatest value of k for which y is a factor of a ? | 0general |
reena took a loan of $ . 1200 with simple interest for as many years as the rate of interest . if she paid $ 432 as interest at the end of the loan period , what was the rate of interest ? | 2gain |
if n is the greatest positive integer for which 4 ^ n is a factor of 10 ! , then n = ? | 5other |
an art gallery has only paintings and sculptures . currently , 1 / 3 of the pieces of art are displayed , and 1 / 6 of the pieces on display are sculptures . if 1 / 3 of the pieces not on display are paintings , and 1400 sculptures are not on display , how many pieces of art does the gallery have ? | 0general |
the grade point average of one third of the classroom is 60 ; the grade point average of the rest is 66 . what is the grade point average of the whole class ? | 0general |
if the digits 33 in the decimal 0.00033 repeat indefinitely , what is the value of ( 10 ^ 5 - 10 ^ 3 ) ( 0.00033 ) ? | 0general |
sum of two numbers is 10 . two times of the first exceeds by 5 from the 3 times of the other . then the numbers will be ? | 0general |
two whole numbers whose sum is 72 can not be in the ratio | 5other |
a group of men decided to do a work in 20 days , but 2 of them became absent . if the rest of the group did the work in 22 days , find the original number of men ? | 1physics |
a train 280 m long is running at 70 kmph . in how much time will it pass a platform 210 m long ? | 1physics |
a reduction of 20 % in the price of salt enables a lady to obtain 25 kgs more for rs . 100 , find the original price per kg ? | 2gain |
in how many no . between 10 and 30 exactly two of the digits is 3 ? | 0general |
( 208 % of 1265 ) ÷ 6 = ? | 0general |
by selling an article at rs . 120 , a profit of 25 % is made . find its cost price ? | 2gain |
the average score of a cricketer in 2 matches is 40 and in other 3 matches is 10 . then find the average score in all the 5 matches ? | 0general |
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