Problem
stringlengths 5
967
| category
class label 6
classes |
|---|---|
a , b and c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 210 , then how much amount should c pay as his share of rent ? | 0general
|
if 50 honey bees make 50 grams of honey in 50 days , then 1 honey bee will make 1 gram of honey in how many days ? | 1physics
|
the charge for a single room at hotel p is 55 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ? | 2gain
|
69 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ? | 1physics
|
how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 11 inches than that of a rectangular sheet of paper measuring 5.5 inches by 11 inches ? | 3geometry
|
a certain college ' s enrollment at the beginning of 1992 was 40 percent greater than it was at the beginning of 1991 , and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992 . the college ' s enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ? | 2gain
|
if the cost price is 75 % of the selling price , then what is the profit percent ? | 2gain
|
double of quarter of 3 percent written as a decimal is : | 2gain
|
two brothers ram and ravi appeared for an exam . the probability of selection of ram is 5 / 7 and that of ravi is 1 / 5 . find the probability that both of them are selected . | 0general
|
find the least number must be subtracted from 11070 so that remaining number is divisible by 22 . | 0general
|
rs . 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 145 . how much was lent at 5 % ? | 2gain
|
find the mean proportional between 49 & 64 ? | 0general
|
one robot builds a robot in 1 hour , another one builds a robot in 2 hours . the 2 robots work together and when a new robot is complete , it joins the others , working at a constant rate of one robot in 2 hours . how much time will it take until there are 4 robots altogether , if the robots build only one robot at a time ? | 1physics
|
50 % of a number is 10 less than 3 / 5 th of that number . what is the number ? | 0general
|
17 + 18 = 35 . how many such 2 consecutive numbers are there less than 200 when added gives a sum which is divisible by 5 ? | 0general
|
the profit earned by selling an article for 872 is equal to the loss incurred when the same article is sold for 448 . what should be the sale price of the article for making 50 per cent profit ? | 2gain
|
a candidate got 40 % of the votes polled and he lost to his rival by 2000 votes . how many votes were cast ? | 2gain
|
one night 17 percent of the female officers on a police force were on duty . if 170 police officers were on duty that night and half of these were female officers , how many female officers were on the police force ? | 2gain
|
the circumferences of two circles are 396 meters and 704 meters . find the difference between the areas of the larger and the smaller circles ? | 3geometry
|
a train 495 m long is running at a speed of 63 km / hr . in what time will it pass a bridge 240 m long ? | 1physics
|
if a - b = 3 and a ^ 2 + b ^ 2 = 27 , find the value of ab . | 0general
|
in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder . the dividend is ? | 0general
|
the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year . if the initial value of the scooter is rs . 40,000 , what is the value at the end of 6 years ? | 0general
|
there are 50 employees in the office of abc company . of these , 22 have taken an accounting course , 14 have taken a course in finance and 15 have taken a marketing course . 10 of the employees have taken exactly two of the courses and 1 employee has taken all 3 of the courses . how many of the 50 employees have taken none of the courses ? | 0general
|
if an object travels 80 feet in 2 seconds , what is the object β s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet ) | 1physics
|
what is the sum of all possible 3 - digit numbers that can be constructed using the digits 1 , 2 , and 4 if each digit can be used only once in each number ? | 0general
|
if x is real , find the maximum value of the expression - 2 x ^ 2 + 11 x + 13 . | 0general
|
a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34 . such a least possible number x is | 0general
|
if 1 = x . 2 = 2 x 3 = 4 x . . . . what is 2 x * 6 x + 5 x / 4 x - 56 x | 0general
|
the closest approximation of a ( 69.28 Γ 0.004 ) / 0.03 is | 0general
|
a number exceeds 20 % of itself by 40 . the number is ? | 2gain
|
9.009 / 5.005 = | 0general
|
the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 294 square centimeters , what is the length of the rectangle in centimeters ? | 3geometry
|
if each digit in the set a = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 } is used exactly once , in how many ways can the digits be arranged ? | 0general
|
mark and ann together were allocated n boxes of cookies to sell for a club project . mark sold 8 boxes less than n and ann sold 2 boxes less than n . if mark and ann have each sold at least one box of cookies , but together they have sold less than n boxes , what is the value of n ? | 0general
|
a store reduced the price of all items in the store by 9 % on the first day and by another 10 % on the second day . the price of items on the second day was what percent of the price before the first reduction took place ? | 2gain
|
the maximum number of students among them 890 pens and 630 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : | 0general
|
a certain bacteria colony doubles in size every day for 22 days , at which point it reaches the limit of its habitat and can no longer grow . if two bacteria colonies start growing simultaneously , how many days will it take them to reach the habitat β s limit ? | 1physics
|
on a purchase of $ 110 , a store offered a payment plan consisting of a $ 10 down payment and 12 monthly payments of $ 10 each . what percent of the purchase price , to the nearest tenth of a percent , did the customer pay in interest by using this plan ? | 2gain
|
laura took out a charge account at the general store and agreed to pay 9 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? | 0general
|
a car started running at a speed of 30 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour . find the total distance covered by the car in the first 9 hours of the journey . | 1physics
|
the sum of two numbers is 72 , and one of them is 12 more than the other . what are the two numbers ? | 0general
|
bob wants to run a mile in the same time as his sister . if bob β s time for a mile is currently 10 minutes 20 seconds and his sister β s time is currently 9 minutes 36 seconds , by what percent does bob need to improve his time in order run a mile in the same time as his sister ? | 1physics
|
which digits should come in place of * and $ if the number 62684 * $ is divisible by both 8 and 5 ? | 0general
|
an amount of money is to be divided between p , q and r in the ratio of 3 : 7 : 12 . if the difference between the shares of p and q is rs . 3200 , what will be the difference between q and r ' s share ? | 0general
|
a man can row downstream at 24 kmph and upstream at 10 kmph . find the speed of the man in still water and the speed of stream respectively ? | 1physics
|
john purchased a grinder and a mobile for rs . 15000 & rs . 8000 respectively . he sold the grinder at a loss of 4 % and the mobile phone at a profit of 15 % . overall how much he make a profit . | 2gain
|
in a kilometer race , a beats b by 50 meters or 20 seconds . what time does a take to complete the race ? | 1physics
|
what is the least value of x . so that 24 x 57 is divisible by 3 . | 0general
|
if i walk at 5 km / h , i miss the bus by 12 minutes . if i walk at 6 km / h , i reach 15 minutes before the arrival of the bus . how far i walk to reach the bus stand ? | 1physics
|
a rectangular tank needs to be coated with insulation . the tank has dimensions of 4 feet , 5 feet , and 3 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ? | 3geometry
|
a sum of money deposited at c . i . amounts to rs . 3650 in 2 years and to rs . 4015 in 3 years . find the rate percent ? | 2gain
|
if 5 - 5 / x = 4 + 4 / x , then x = | 0general
|
the sum of the squares of two numbers is 3341 and the diference of their squares is 891 . the numbers are : | 3geometry
|
two trains are moving in opposite direction @ 60 kmph and 90 kmph . 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 sum amounts to rs . 8820 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ? | 2gain
|
a gardener wants to plant trees in his garden in rows in such away that the number of trees in each row to be the same . if there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row ? | 0general
|
a contractor undertook to do a piece of work in 10 days . he employed certain number of laboures but 5 of them were absent from the very first day and the rest could finish the work in only 13 days . find the number of men originally employed ? | 1physics
|
a string of 25 light bulbs is wired in such a way that if any individual light bulb fails , the entire string fails . if for each individual light bulb the probability of failing during time period t is 0.06 , what is the probability that the string of light bulbs will fail during the time period t ? | 4probability
|
in a race where 16 cars are running , the chance that car x will win is 1 / 4 , that y will win is 1 / 12 and that z will win is 1 / 7 . assuming that a dead heat is impossible , find the chance that one of them will win . | 0general
|
a certain machine produces 650 units of product p per hour . working continuously at this constant rate , this machine will produce how many units of product p in 7 days ? | 1physics
|
a 20 % stock yielding 10 % is quoted at : | 2gain
|
a cricket player whose bowling average was 24.50 runs per wicket , takes 5 wicket for 52 runs in a match . due to this his average decreases by 0.50 . what will be the number of wickets taken by him till the last match ? | 0general
|
sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m , the cost of fencing it at 20 ps per meter is ? | 1physics
|
a polling company found that , of 300 households surveyed , 120 spent at least $ 100 per month on both gasoline and electricity , 60 spent at least $ 100 per month on gasoline but not on electricity , and for every household that did not spend at least $ 100 per month on gasoline or electricity , 4 spent at least $ 100 per month on electricity but not on gasoline . how many of the 300 households did not spend at least $ 100 per month on either gasoline or electricity ? | 5other
|
the cash realised on selling a 14 % stock is rs . 107.25 , brokerage being 1 / 4 % is ? | 0general
|
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 38.7 % . what would have been the percentage of profit earned if no discount had been offered ? | 2gain
|
the price of rice is reduced by 2 % . how many kilograms of rice can now be bought for the money which was sufficient to buy 49 kg of rice earlier ? | 5other
|
set a contains all the even numbers between 10 and 50 inclusive . set b contains all the even numbers between 110 and 150 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? | 0general
|
what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 15 nor by 20 ? | 5other
|
if x is an integer such that 5 < x < 21 , 7 < x < 18 , 13 > x > 2 , 12 > x > 9 , and x + 1 < 13 , then x is | 0general
|
the cost of registration at a professional association meeting was $ 50 per person ; a lunch for registrants only was available for an additional $ 22 per person . if the number of registrants who paid for lunch was 20 more than the number who did not , and if receipts for registration and lunch totaled $ 50,240 , how many people paid just for registration at the meeting ? | 0general
|
23 , 29 , 31 , 37 , 41 , 43 , 47 , ( . . . ) | 0general
|
the denominator of a fraction is 15 greater than the numerator . if the numerator and the denominator are increased by 3 , the resulting fraction is equal to 3 Γ’ Β β 4 . what is the value of the original fraction ? | 0general
|
a and b started a business investing rs . 50,000 and rs 20,000 respectively . in what ratio the profit earned after 2 years be divided between a and b respectively ? | 2gain
|
a grocer has a sale of rs . 6345 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ? | 0general
|
at deluxe paint store , fuchsia paint is made by mixing 4 parts of red paint with 2 parts of blue paint . mauve paint is made by mixing 3 parts of red paint with 6 parts blue paint . how many liters of blue paint must be added to 24 liters of fuchsia to change it to mauve paint ? | 0general
|
h . c . f of 136 , 144 and a third number is 8 and their l . c . m is 2 ^ 4 * 3 ^ 2 * 17 * 7 . the third number is : | 0general
|
from the beginning to the end of 2007 , the price of a stock rose 20 percent . in 2008 , it dropped 25 percent . in 2009 , it rose 25 percent . what percent of the stock Γ’ β¬ β’ s 2007 starting price was the price of the stock at the end of 2009 ? | 2gain
|
express a speed of 70 kmph in meters per second ? | 1physics
|
if n = ( 33 ) ^ 43 + ( 43 ) ^ 32 what is the units digit of n ? | 0general
|
on a certain transatlantic crossing , 20 percent of a ship β s passengers held round - trip tickets and also took their cars abroad the ship . if 20 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship β s passengers held round - trip tickets ? | 2gain
|
a train running at the speed of 126 km / hr crosses a pole in 9 seconds . find the length of the train . | 1physics
|
what is the smallest number which when diminished by 20 , is divisible 15 , 30 , 45 and 60 ? | 0general
|
mrs . evans gave a test to her freshmen economics class , which has 25 students enrolled and 22 of them answered question 1 correctly . if 20 answered question 2 correctly and 3 did not take the test then how many answered both questions correctly ? | 5other
|
in two alloys , copper and tin are related in the ratios of 4 : 1 and 1 : 3 . 10 kg of ist alloy , 16 kg of 2 nd alloy and some pure copper melted together . an alloy obtained in which the ratio of copper and tin was 3 : 2 . find the weight of the new alloy . | 5other
|
a farmer planned to plough a field by doing 120 hectares a day . after two days of work he increased his daily productivity by 25 % and he finished the job two days ahead of schedule . a ) what is the area of the field ? b ) in how many days did the farmer get the job done ? c ) in how many days did the farmer plan to get the job done ? | 1physics
|
12 men complete a work in 9 days . after they have worked for 6 days , 6 more men join them . how many days will they take to complete the remaining work ? | 1physics
|
joe has a total of $ 200 in his two pockets . he takes one fourth of the money in his left pocket and puts it in his right pocket . he then takes $ 20 from his left pocket and puts it in his right pocket . if he now has an equal amount of money in each pocket , then how much money did he originally have in his left pocket ? | 0general
|
if 5 machines can produce 20 units in 10 hours , how long would it take 20 machines to produce 200 units ? | 1physics
|
the price of a cycle is reduced by 25 per cent . the new price is reduced by a further 60 per cent . the two reductions together are equal to a single reduction of | 0general
|
given a number , there is an algorithm described here to find it ' s sum and number of factors . for example , let us take the number 1225 ? | 0general
|
total 60 cows 20 cow gives each 2 liter milk 20 cow gives each 3 / 4 liter milk 20 cow gives each 1 / 4 liter milk this is split into 3 son per each 20 cows & 20 liter milk how ? | 0general
|
x starts a business with rs . 45000 . y joins in the business after 5 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? | 5other
|
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 2000 then loss of pyarelal ? | 2gain
|
a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 1200 more than d , what is b ' s share ? | 0general
|
a store sells chairs and tables . if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables , and the price of 1 table and 1 chair is $ 60 , what is the price , in dollars , of 1 table ? ( assume that every chair has the same price and every table has the same price . ) | 2gain
|
you hold some gold in a vault as an investment . over the past year the price of gold increases by 60 % . in order to keep your gold in the vault , you must pay 10 % of the total value of the gold per year . what percentage has the value of your holdings changed by over the past year . | 2gain
|
there is a square of side 6 cm . a circle is inscribed inside the square . find the ratio of the area of circle to square . | 3geometry
|
if p and q are prime numbers , how many divisors does the product p ^ 4 * q ^ 9 have ? | 0general
|
Subsets and Splits