Problem stringlengths 5 967 | category class label 6
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in a 2000 census , 51.27 % of the population are male , and 48.73 % are female . what is the ratio of men to every 100 women ? | 5other |
the radius of a semi circle is 14 cm then its perimeter is ? | 1physics |
a large field of 900 hectares is divided into two parts . the difference of the areas of the two parts is one - fifth of the average of the two areas . what is the area of the smaller part in hectares ? | 0general |
a train passes a station platform in 60 sec and a man standing on the platform in 20 sec . if the speed of the train is 54 km / hr . what is the length of the platform ? | 1physics |
15 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 15 hours a day , the number of men required ? | 1physics |
a factory produces 4560 toys per week . if the workers at this factory work 4 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ? | 1physics |
the sum of four consecutive even numbers is 140 . what would be the largest number ? | 1physics |
a batsman makes a score of 82 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ? | 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 a . 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 |
the length of a rectangle is reduced by 30 % . by what % would the width have to be increased to maintain the original area ? | 3geometry |
what is the remainder if 7 ^ 4 is divided by 100 ? | 0general |
how many positive factors do 120 and 80 have in common ? | 5other |
find value of x : ( 422 + 404 ) ^ 2 − ( 4 × 422 × 404 ) = x . | 0general |
after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6400 . find the actual price of the good . | 2gain |
x and y started a business by investing rs . 36000 and rs . 42000 respectively after 4 months z joined in the business with an investment of rs . 48000 , then find share of z in the profit of rs . 14080 ? | 2gain |
6 ) a marketing firm determined that , of 160 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ? | 5other |
every disk in a bag is either blue , yellow or green . the ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8 . if the total number of disks in the bag is 54 , how many more green disks than blue disks are in the bag ? | 0general |
what will be the fraction of 6 % | 2gain |
among 250 viewers interviewed who watch at least one of the 3 tv channels namely a , bc . 116 watch a , 127 watch c , while 107 watch b . if 90 watch exactly two channels . how many watch exactly one channel ? | 0general |
some of 50 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 30 % . what fraction of the original paint was replaced ? | 2gain |
9 spheres of the same size are made from melting a solid cylinder of 8 cm diameter and 48 cm height . what is the diameter of each sphere ? | 1physics |
working simultaneously and independently at an identical constant rate , 6 machines of a certain type can produce a total of x units of product p in 5 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 4 x units of product p in 10 days ? | 0general |
for how many unique pairs of nonnegative integers { a , b } is the equation a ^ 2 - b ^ 2 = 220 true ? | 0general |
a boat goes 100 km downstream in 4 hours , and 75 km upstream in 15 hours . the speed of the stream is ? | 1physics |
what is 10 - 8 + 6 - 4 + . . . + ( - 10 ) ? | 0general |
a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 60,000 . the 75 associates have an average salary of $ 30,000 . what is the average salary for the company ? | 0general |
along a road lie an odd number of stones placed at intervals of 10 m . these stones have to be assembled around the middle stone . a person can carry only one stone at a time . a man carried out the job starting with the stone in the middle , carrying stones in succession , thereby covering a distance of 4.8 km . then the number of stones is | 1physics |
850 - ( 1500 ÷ ? ) × 8 / 15 = 770 | 0general |
the contents of two vessels containing copper and tin in the ratio 2 : 3 and 5 : 7 are mixed in the ratio 3 : 5 . the resulting mixture will have copper and tin in the ratio ? | 5other |
a and b together can do a work in 8 days . a alone can do it in 12 days . what time b will take to do the work alone ? | 1physics |
what is the unit ’ s digit of 7 ^ 4 | 0general |
x and y are positive integers . when x is divided by 15 , the remainder is 2 , and when x is divided by 10 , the remainder is 7 . when y is divided by 9 , the remainder is 5 , and when y is divided by 7 , the remainder is 2 . what is the least possible value of x * y ? | 0general |
what is the minimum percentage increase in the mean of set s { - 4 , - 1 , 0 , 6 , 9 } if its two smallest elements are replaced with two different primes ? | 0general |
marla starts running around a circular track at the same time nick starts walking around the same circular track . marla completes 20 laps around the track per hour and nick completes 10 laps around the track per hour . how many minutes after marla and nick begin moving will marla have completed 4 more laps around the track than nick ? | 1physics |
in a renowned city , the average birth rate is 6 people every two seconds and the death rate is 3 people every two seconds . estimate the size of the population net increase that occurs in one day . | 0general |
how many times in a day , are the hands of a clock in straight line but opposite in direction ? | 1physics |
add 11 % of 36 and 12 % of 64 . | 2gain |
if the cost price of 55 articles is equal to the selling price of 50 articles , then what is the percent profit ? | 2gain |
in a certain quiz that consists of 8 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 360 points , how many points is the third question worth ? | 0general |
line l passes through the points ( - 2,0 ) and ( 0 , a ) . line ll passes through the points ( 4,0 ) and ( 6,2 ) . what value of a makes the two lines parallel ? | 3geometry |
a certain school implemented a reading program for its students , with the goal of getting each student to read 6 books per month year - round . if the school has c classes made up of s students in each class , how many books will the entire student body read in one year ? | 0general |
debony normally drives to work in 45 minutes at an average speed of 40 miles per hour . this week , however , she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20 % . if debony averages between 12 and 16 miles per hour when biking , how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives ? | 1physics |
if the average ( arithmetic mean ) of a and b is 40 and the average of b and c is 60 , what is the value of c − a ? | 0general |
a 6 - liter solution is 25 % alcohol . how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol ? | 0general |
a container holding 9 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water . what is the ratio of alcohol to water in the resulting solution ? | 5other |
if the ratio of apples to bananas is 3 to 2 and the ratio of bananas to cucumbers is 1 to 3 , what is the ratio of apples to cucumbers ? | 5other |
if k and w are the dimensions of a rectangle that has area 60 , and if k and w are integers such that k > w , what is the total number of possible values of k ? | 3geometry |
a candidate appearing for an examination has to secure 42 % marks to pass paper i . but he secured only 60 marks and failed by 20 marks . what is the maximum mark for paper i ? | 2gain |
the market value of a certain machine decreased by 30 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8,000 , what was its market value two years later ? | 2gain |
the sum of the first 50 positive even integers is 2550 . what is the sum of even integers from 102 to 200 inclusive ? | 0general |
ratio between rahul and deepak is 4 : 3 , after 22 years rahul age will be 26 years . what is deepak present age | 5other |
which of the options is a two - digit number , which has a unit ' s digit that exceeds its 10 ' s digit by 4 and the product of the given number and the sum of its digits is equal to 208 . | 0general |
2 , 4 , 6 , 8 , 10 , . . . ? | 0general |
the hcf and lcm of two numbers m and n are respectively 5 and 210 . if m + n = 75 , then 1 / m + 1 / n is equal to | 0general |
two trains are moving in the same direction at 54 kmph and 36 kmph . the faster train crosses a man in the slower train in 27 seconds . find the length of the faster train ? | 1physics |
drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 1 / 4 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ? | 0general |
the ratio of three numbers is 1 : 2 : 3 and the sum of their squares is 2744 . the sum of the numbers is ? | 5other |
0.6 of a number is equal to 0.08 of another number . the ratio of the numbers will be | 5other |
if a coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 6 times , what is the probability that it will land heads up on all 6 flips ? | 4probability |
the perimeter of one face a of cube is 20 cm . its volume must be | 3geometry |
a train 660 m long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 min , then the length of the tunnel is ? | 1physics |
two goods trains each 850 m long are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ? | 1physics |
the owner of a furniture shop charges his customer 20 % more than the cost price . if a customer paid rs . 8400 for a computer table , then what was the cost price of the computer table ? | 2gain |
what is 92 % of 3 / 4 ? | 2gain |
the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448 . what should be the sale price for making 30 % profit ? | 2gain |
a 140 meter long train crosses a man standing on the platform in 6 sec . what is the speed of the train ? | 1physics |
a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 18 purchase both cake mix and muffin mix . if a buyer is to be selected at random from the 100 buyers , what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix ? | 5other |
if 11.25 m of a uniform steel rod weighs 42.75 kg . what will be the weight of 5 m of the same rod ? | 1physics |
the area of a rectangle is 460 square metres . if the length is 15 % more than the breadth , what is the breadth of the rectangular field ? | 3geometry |
find the product of the local value and absolute value of 6 in 564823 | 0general |
find the compound interest on $ 100000 in 2 years at 4 % per annum , the interest being compounded half - yearly ? | 2gain |
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 . 135 . how much was lent at 5 % ? | 2gain |
( 0.66 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.66 ) ( power 2 ) + 0.066 + ( 0.1 ) ( power 2 ) is : | 0general |
a trader cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 10 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 50 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage . | 2gain |
when the no . 7 y 86038 is exactly divisible by 11 , then the smallest whole no . in place of y ? | 0general |
set i consists of integers { 3 , - 8 , y , 19 , - 6 } and set b consists of integers { k , - 3 , 0 , 16 , - 5 , 9 } . number l represents the median of set i , number m represents mode of set b and number z = l ^ m . if y is an integer greater than 21 , for what value of k will z be a divisor of 26 ? | 0general |
carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 12 inches long , how wide is jordan ' s rectangle , in inches ? | 3geometry |
a rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 680 sq . feet , how many feet of fencing will be required ? | 3geometry |
simple interest on a certain sum of money for 2 years at 12 % per annum is half the compound interest on rs . 6000 for 2 years at 15 % per annum . the sum placed on simple interest is | 2gain |
10 men working 12 hours daily finish a work in 24 days . in how many days will they finish 1 / 4 th of the work working 8 hours daily ? | 1physics |
65 % of x = 20 % of 747.50 . find the value of x ? | 0general |
what is the remainder wen 2 ^ 35 is divided by 5 ? | 0general |
a certain car can travel 40 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 |
each side of a rectangle is increased by 100 % . by what percentage does the area increase ? | 3geometry |
the average monthly salary of 20 employees in an organisation is rs . 1300 . if the manager ' s salary is added , then the average salary increases by rs . 100 . what is the manager ' s monthly salary ? | 0general |
convert 2.0 hectares in ares | 1physics |
seller selling an apple for rs . 19 , a seller loses 1 / 6 th of what it costs him . the cp of the apple is ? | 0general |
what is the difference between the largest and the smallest number written with 7 , 7 , 0 , 7 ? | 0general |
if a certain toy store ' s revenue in november was 2 / 5 of its revenue in december and its revenue in january was 1 / 3 of its revenue in november , then the store ' s revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january ? | 0general |
a man bring 2 cats to his home to eliminate all the mice . they do a half of the work in 5 days , then the man brings 3 more cats . if they hunt at the same rate , how many days will take to hunt all the mice , since the first day ? | 1physics |
a sum of money lent out at s . i . amounts to rs . 720 after 2 years and to rs . 1020 after a further period of 5 years . the sum is ? | 0general |
there are 15 members in a family . it takes 180 days for a women to complete the work , however man completes in 120 days . they take 17 days to complete the work if men work on alternate days and women work every third day . if all of them started together on the 1 st day , then how many women are there in the family | 1physics |
how many integers between 1000 and 10000 have no digits other than 4 , 5 or 6 ? | 0general |
john completes a piece of work in 8 days , rose completes the same work in 16 days . if both of them work together , then the number of days required to complete the work is ? | 1physics |
what is the area of a triangle with the following vertices l ( 2 , 3 ) , m ( 5 , 1 ) , and n ( 3 , 5 ) ? | 3geometry |
a can complete a project in 20 days and b can complete the same project in 30 days . if a and b start working on the project together and b quits 5 days before the project is completed , in how many days total will the project be completed ? | 1physics |
how long does a train 140 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length ? | 1physics |
in kaya ' s teacher ' s desk there are 10 pink highlighters , 15 yellow highlighters , and 8 blue highlighters . how many highlighters are there in all ? | 0general |
income and expenditure of a person are in the ratio 9 : 8 . if the income of the person is rs . 18000 , then find his savings ? | 5other |
a gambler has won 40 % of his 40 poker games for the week so far . if , all of a sudden , his luck changes and he begins winning 80 % of the time , how many more games must he play to end up winning 60 % of all his games for the week ? | 2gain |
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