Problem stringlengths 5 967 | category class label 6
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there were totally 100 men . 80 are married . 75 have t . v , 85 have radio , 70 have a . c . how many men have t . v , radio , a . c and also married ? | 0general |
a boy wanted to calculate his speed on his bike . his starting point was 350 meters from the turning point . he made the round trip 5 times in 30 minutes . what was the boy ' s speed in kilometers per hour ? | 1physics |
if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 222 responses are needed , what is the minimum number of questionnaires that should be mailed ? | 2gain |
to deliver an order on time , a company has to make 25 parts a day . after making 25 parts per day for 3 days , the company started to produce 5 more parts per day , and by the last day of work 100 more parts than planned were produced . how many parts the company made ? | 1physics |
what annual installment will discharge a debt of rs . 1092 due in 3 years at 12 % simple interest ? | 2gain |
how many integerskgreater than 100 and less than 1100 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ? | 0general |
sandy walked 20 meters towards south . then sandy turned to her left and walked 20 meters . she then turned to her left and walked 20 meters . she then turned to her right and walked 10 meters . what distance is she from the starting point and in which direction ? | 1physics |
income and expenditure of a person are in the ratio 3 : 2 . if the income of the person is rs . 21000 , then find his savings ? | 5other |
in how many ways 4 boys and 3 girls can be seated in a row so that they are alternate . | 4probability |
the ratio of the radius of two circles is 4 : 3 , and then the ratio of their areas is ? | 3geometry |
in a function , every person shakes hand with every other person . if there was a total of 28 handshakes in the function , how many persons were present in the function ? | 0general |
3 * 16 + 3 * 17 + 3 * 20 + 11 = ? | 0general |
if x = - 2 and y = - 4 , what is the value of 5 ( x - y ) ^ 2 - xy ? | 0general |
on the number line , if x is halfway between - 8 and 4 , and if y is halfway between - 4 and 6 , what number is halfway between x and y ? | 0general |
a train speeds past a pole in 15 sec and a platform 120 m long in 25 sec , its length is ? | 1physics |
a library has an average of 660 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is : | 0general |
mr . riddle invested in fund x and fund y . the total amount she invested , in both funds combined , was $ 200000 . in one year , fund x paid 43 % and fund y paid 28 % . the interest earned in fund y was exactly $ 200 greater than the interest earned in fund x . how much did ms . tom invest in fund x ? | 2gain |
at the faculty of aerospace engineering , 312 students study random - processing methods , 232 students study scramjet rocket engines and 114 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? | 5other |
two boats are heading towards each other at constant speeds of 5 miles / hr and 25 miles / hr respectively . they begin at a distance 20 miles from each other . how far are they ( in miles ) one minute before they collide ? | 1physics |
excluding stoppages , the speed of a train is 45 kmph and including stoppages it is 32 kmph . of how many minutes does the train stop per hour ? | 1physics |
a and b together can do a piece of work in 8 days . if a alone can do the same work in 12 days , then b alone can do the same work in ? | 1physics |
company z has 48 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday . | 0general |
in a fuel station the service costs $ 2.05 per car , every liter of fuel costs 0.6 $ . assuming that you fill up 3 mini - vans and 2 trucks , how much money will the fuel cost to all the cars owners total , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty - ? | 0general |
a two - digit number is such that the product of the digits is 8 . when 18 is added to the number , then the digits are reversed . the number is : | 0general |
by selling 95 pens , a trader gains the cost of 19 pens . find his gain percentage ? | 2gain |
there are 193 items that are members of set u . of these items , 41 are members of set b , 59 are not members of either of set a or set b , and 23 are members of both sets a and b . how many of the members of set u are members of set a ? | 5other |
a machine can filled a tank in 25 minutes and another machine can empty it in 50 minutes . if the tank is already half full and both the taps are opened together , then the tank is filled in how many minutes ? | 1physics |
a hall 36 m long and 15 m broad is to be paved with stones , each measuring 8 dm by 5 dm . the number of stones required is : | 1physics |
at company x , senior sales representatives visit the home office once every 16 days , and junior sales representatives visit the home office once every 12 days . the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period ? | 0general |
in n is a positive integer less than 200 , and 14 n / 60 is an integer , then n has how many different positive prime factors q ? | 0general |
the two lines y = x and x = - 9 intersect on the coordinate plane . what is the value of the area of the figure formed by the intersecting lines and the x - axis ? | 0general |
at a certain food stand , the price of each apple is 40 ¢ and the price of each orange is 60 ¢ . mary selects a total of 10 apples and oranges from the food stand , and the average ( arithmetic mean ) price of the 10 pieces of fruit is 54 ¢ . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 50 ¢ ? | 0general |
a store has 10 bottles of juice , including 5 bottles of apple juice . in the evening , 6 bottles of juice are sold one by one . what is the probability of selling 4 bottles of apple juice among the 6 bottles ? assume that every bottle has an equal chance of being bought . | 4probability |
a student got 71 % in math and 81 % in history . to get an overall average of 75 % , how much should the student get in the third subject ? | 0general |
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 + 9 ) both lie on the line defined by the equation x = ( y / 3 ) - ( 2 / 5 ) , what is the value of p ? | 0general |
at an international conference , “ red ” world countries and “ blue ” world countries are the only participants . the ratio of “ red ” world participants to “ blue ” world participants is 5 : 5 . if one - third of “ red ” world participants are left - handed and two - thirds of “ blue ” world participants are left - handed , then what is the fraction of the participants who are left - handed ? | 5other |
what is the remainder when 42 * 49 is divided by 8 ? | 0general |
1 + 2 + 3 + . . . + 12 = ? | 0general |
the largest 4 digit number exactly divisible by 77 is ? | 0general |
a room of 6 m 44 cm long and 3 m 00 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor . | 1physics |
7 people average age is 30 . youngest person age is 6 . find average of the people when youngest was born . | 0general |
if 4 men can reap 40 acres of land in 15 days , how many acres of land can 16 men reap in 30 days ? | 1physics |
in the excel manufacturing company , 46 percent of the employees are men . if 60 percent of the employees are unionized and 70 percent of these are men , what percent of the non - union employees are women ? | 0general |
a library branch originally contained 18360 volumes , 30 % of which were fiction novels . 1 / 3 of the volumes were transferred to another location and 1 / 4 of the volumes transferred were fiction novels . what percent of the remaining collection was fiction novels ? | 2gain |
a man was asked to state his age in years . his reply was , ` ` take my age 6 years hence , multiply it by 6 and subtract 6 times my age 6 years ago and you will know how old i am . ' ' what was the age of the person ? | 0general |
if the average ( arithmetic mean ) of x and y is 40 , and z – x = 60 , what is the average of y and z ? | 0general |
find the simple interest on rs . 235 for 3 months at 8 paisa per month ? | 2gain |
a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 1800 . the difference between the profit shares of a and c is ? | 2gain |
the length of a bridge in meters , which a train 120 - meters long and traveling at 45 km / hr can cross in 30 seconds is ? | 1physics |
of 70 players on a football team , 49 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? | 0general |
jack has two dice , one has 6 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , and the other has 7 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , 7 . if jack rolls both dice what is the probability that both of the numbers will be 3 ? | 5other |
a number divided by 44 leaves remainder 12 what is the remainder when same number divided by 12 | 0general |
a person walks at a speed of 4 km / hr and runs at a speed of 8 km / hr . how many hours will the person require to cover a distance of 16 km , if the person completes half of the distance by walking and the other half by running ? | 1physics |
change the below lagarithm log 255 = 1 / 2 to exponential form | 0general |
the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . find the length of the rectangle ? | 3geometry |
by selling 16 pencils for a rupee a man loses 10 % . how many for a rupee should he sell in order to gain 20 % ? | 2gain |
if it takes a machine 2 ⁄ 3 minute to produce one item , how many items will it produce in 1 hours ? | 1physics |
a batsman makes a score of 65 runs in the 17 th inning and thus increases his average by 3 . find his average after 17 th inning . | 0general |
an article is bought for rs . 675 and sold for rs . 1200 , find the gain percent ? | 2gain |
the distance between two cities a and b is 1410 km . a train starts from a at 8 a . m . and travel towards b at 60 km / hr . another train starts from b at 9 a . m and travels towards a at 75 km / hr . at what time do they meet ? | 1physics |
tom opened a shop investing rs . 3000 . jose joined him 2 months later , investing rs . 4000 . they earned a profit of rs . 4230 after completion of one year . what will be jose ' s share of profit ? | 2gain |
a student got twice as many sums wrong as he got right . if he attempted 54 sums in all , how many did he solve correctly ? | 0general |
the instructions state that deepthi needs 4 / 17 square yards of one type of material and 3 / 10 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 9 / 30 square yards left that she did not use . what is the total amount of square yards of material deepthi used ? | 0general |
a certain city with a population of 108,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district what is the minimum possible population that the least populated district could have ? | 0general |
company p had 15 percent more employees in december than it had in january . if company p had 470 employees in december , how many employees did it have in january ? | 2gain |
a , b and c can do a piece of work in 5 days , 10 days and 15 days respectively . how long will they taken , if all the three work together ? | 1physics |
two unbiased coins are tossed . find the probability of getting at most one head ? | 4probability |
find the annual income derived by investing $ 6800 in 60 % stock at 136 . | 2gain |
when positive integer x is divided by positive integer y , the result is 59.32 . what is the sum w of all possible 2 - digit remainders for x / y ? | 0general |
jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 81 . if jerry wants to raise his average by 2 points , what score must he earn on the fourth test ? | 0general |
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 390 sq . feet , how many feet of fencing will be required ? | 3geometry |
in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 2,000 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 8,000 higher that m , then what percentage of apartments in the building are two - bedroom apartments ? | 0general |
what is the smallest positive integer that can be multiplied by 1,008 to make it a perfect square ? | 3geometry |
how many factors of 660 are odd numbers greater than 1 ? | 5other |
a palindrome is a number that reads the same front - to - back as it does back - to - front ( e . g . 202 , 575 , 1991 , etc . ) p is the smallest integer greater than 300 that is both a prime and a palindrome . what is the sum of the digits of p ? | 0general |
a sucrose solution contains 10 grams of sucrose per 100 cubic centimeters of solution . if 60 cubic centimeters of the solution were poured into an empty container , how many grams of sucrose would be in the container ? | 1physics |
a crate measures 6 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ? | 3geometry |
a man can row downstream at 20 kmph and upstream at 12 kmph . find the speed of the man in still water and the speed of stream respectively ? | 1physics |
a and b go around a circular track of length 1200 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ? | 1physics |
if the number is decreased by 5 and divided by 7 the result is 7 . what would be the result if 24 is subtracted and divided by 10 ? | 0general |
tom read a book containing 560 pages by reading the same number of pages each day . if he would have finished the book 5 days earlier by reading 16 pages a day more , how many days did tom spend reading the book ? | 0general |
john bought 9.25 m of cloth for $ 407 . find the cost price per metre . | 1physics |
how many pieces can a square pizza be cut into by making 6 linear cuts ? | 3geometry |
on the xy - plane , each point on circle c has coordinates such that x 0 and y 0 . if the center of circle c is the point ( 3 ; 9 ) , what is the maximum possible area of c ? | 3geometry |
if 10 gallons of grape juice are added to 40 gallons of a mixture , which contains 30 percent grape juice then what percent of the resulting mixture is grape juice ? | 0general |
in a school 10 % of the boys are same in number as 1 / 5 th of the girls . what is the ratio of boys to the girls in the school ? | 5other |
in a certain parallelogram the degree measure of one angle exceeds that of the other by 40 what is the degree measure of the smaller angle ? | 3geometry |
a farmer built a fence around his square plot . he used 27 fence poles on each side of the square . how many poles did he need altogether ? | 3geometry |
if one positive integer is greater than another positive integer by 4 , and the difference of their cubes is 208 , what is their sum ? | 0general |
if s = { 1 , 2 , 3 , 4 , 5 , 6 , 7 } , how much less is the mean of the numbers in s than the median of the numbers in s ? | 0general |
45 x ? = 40 % of 900 | 0general |
ramu bought an old car for rs . 42000 . he spent rs . 13000 on repairs and sold it for rs . 64900 . what is his profit percent ? | 2gain |
a honey bee flies for 10 seconds , from a daisy to a rose . it immediately continues to a poppy , flying for 6 additional seconds . the distance the bee passed , flying from the daisy to the rose is 8 meters longer than the distance it passed flying from the rose to the poppy . the bee flies to the poppy at 3 meters per second faster than her speed flying to the rose . the bee flies how many meters per second from the daisy to the rose ? | 1physics |
of the female students at barkely university , 5 / 6 are on the honor roll . of the male students , 2 / 3 are on the honor roll . if 3 / 5 of the students are female , what is ratio of male to female students on honor roll ? | 5other |
if in a race of 90 m , a covers the distance in 20 seconds and b in 25 seconds , then a beats b by : | 1physics |
the sum of all two digit numbers divisible by 9 is | 0general |
find the least number must be subtracted from 899830 so that remaining no . is divisible by 16 ? | 0general |
at 3 : 40 , the hour hand and the minute hand of a clock form an angle of : | 1physics |
express 60 mps in kmph ? | 1physics |
set a : { 1 , 3 , 4 , 6 , 9 , 12 , 15 } if 3 numbers are randomly selected from set a without replacement , what is the probability that the sum of the 3 numbers is divisible by 3 ? | 0general |
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