Problem stringlengths 5 967 | category class label 6
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in a class of 69 students 41 are taking french , 22 are taking german . of the students taking french or german , 9 are taking both courses . how many students are not enrolled in either course ? | 5other |
the charge for a single room at hotel p is 50 percent less than the charge for a single room at hotel r and 20 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 |
laxmi and prasanna set on a journey . laxmi moves northwards at a speed of 18 kmph and prasanna moves southward at a speed of 27 kmph . how far will be prasanna from laxmi after 60 minutes ? | 1physics |
a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 894 in 4 years . the sum is : | 2gain |
tom traveled the entire 80 miles trip . if he did the first 30 miles of at a constant rate 30 miles per hour and the remaining trip of at a constant rate 50 miles per hour , what is the his average speed , in miles per hour ? | 1physics |
there are 24 students in a seventh grade class . they decided to plant birches and roses at the school ' s backyard . while each girl planted 3 roses , every three boys planted 1 birch . by the end of the day they planted 2424 plants . how many birches and roses were planted ? | 1physics |
having received his weekly allowance , a student spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 0.40 at the candy store . what is this student ’ s weekly allowance ? | 0general |
3 / 4 of 5 / 7 of a number is greater than 2 / 3 of 4 / 7 of the same number by 26 . what is half of that number ? | 0general |
robert left from a pvt company . management hold his salary rs . 15000 / - for one month . earlier robert earned a performance incentive rs . 7280 / - from company . but robert forgot that . after one month robert asked his salary and accountant gives rs . 18500 / - to him . what is the bonus amount given to robert ? | 0general |
if a and b run on a circular path in opposite directions of constant speeds with different velocities from p and q . first time they meet 800 mts away from p and second time they meet 700 mts away from p , what is the lenght of the circular path . | 1physics |
the annual interest rate earned by an investment increased by 10 percent from last year to this year . if the annual interest rate earned by the investment this year was 11 percent , what was the annual interest rate last year ? | 2gain |
the cost of the paint is rs . 36.50 per kg . if 1 kg of paint covers 16 squares feet , how much will it cost to paint outside of a cube having 8 feet each side ? | 3geometry |
express a speed of 84 kmph in meters per second ? | 1physics |
a shopkeeper sells 300 metres of cloth for rs . 9000 at a loss of rs . 6 per metre . find his cost price for one metre of cloth ? | 2gain |
the h . c . f . of two numbers is 42 and the other two factors of their l . c . m . are 12 and 14 . the larger of the two numbers is : | 5other |
jack , jill , and sandy each have one try to make a basket from half court . if their individual probabilities of making the basket are 1 / 6 , 1 / 7 , and 1 / 8 respectively , what is the probability that all three will make a basket ? | 0general |
how much is 75 % of 40 is greater than 4 / 5 of 25 ? | 0general |
a number is doubled and 5 is added . if the resultant is trebled , it becomes 105 . what is that number ? | 0general |
10 play kabadi , 35 play kho kho only , 5 play both gmaes . then how many in total ? | 0general |
if the average of 12 x and 8 y is greater than 200 , and x is twice y , what is the least integer value of x ? | 0general |
i sold a book at a profit of 10 % . had i sold it for $ 150 more , 15 % would have been gained . find the cost price ? | 2gain |
in a certain company , the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 24 . in the company , what is the maximum number of non - managers in a department that has 8 managers ? | 0general |
add 8 % of 24 and 10 % of 40 . | 2gain |
in a certificate by mistake a candidate gave his height as 20 % more than actual height . in the interview panel , he clarified that his height was 5 feet 5 nches . find the % correction made by the candidate from his stated height to his actual height ? | 2gain |
if 2 men or 3 women can reap a field in 12 days how long will 4 men and 5 women take to reap it ? | 1physics |
one pack of cake mix is being stirred before being poured into two separate baking trays . the first tray can hold a certain amount of cups of the mix while the other holds 20 cups less than the first . if the total number of cups poured is 500 , how many cups of batter does the second tray hold ? | 0general |
a , b and c can do a work in 7 , 14 and 21 days respectively . they completed the work and got $ 242 . what is the share of c ? | 1physics |
a certain no . when divided by 95 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? | 0general |
during a sale of 20 % on everything in a store , a kid is successful in convincing the store manager to give him 20 candies for the discounted price of 14 candies . the store still makes a profit of 10 % on this sale . what is the mark up percentage on each candy ? | 2gain |
a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 14 multiples of 14 , how many multiples of 7 are there in q ? | 1physics |
the length of a train and that of a platform are equal . if with a speed of 180 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ? | 1physics |
running at the same constant rate , 8 identical machines can produce a total of 240 pens per minute . at this rate , how many pens could 5 such machines produce in 5 minutes ? | 2gain |
the product of the squares of two positive integers is 81 . how many pairs of positive integers satisfy this condition ? | 3geometry |
before 2 years , dog a ’ s age was 4 times of dog b ’ s age and after 4 years , dog a ’ s age will be 3 times of dog b ’ s age . what is the difference of dog a ’ s age and dog b ’ s now ? | 0general |
how many integers between 500 and 1000 are there such that their unit digit is even ? | 0general |
a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses . next year his income increases by 50 % but his savings increase by 100 % . if his total expenditure in 2 years is double his expenditure in 1 st year , what % age of his income in the first year did he save ? | 0general |
the cost price of 24 articles is the same as the selling price of x articles . if the profit is 20 % , what is x ? | 2gain |
on increasing the number of lines in a page by 110 , they become 240 . what is the % of increase in the no . of lines in the page ? | 0general |
an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 18 gallons of ethanol , how many gallons of fuel a were added ? | 2gain |
a discount electronics store normally sells all merchandise at a discount of 10 percent to 40 percent off the suggested retail price . if , during a special sale , an additional 5 percent were to be deducted from the discount price , what would be the lowest possible price of an item costing $ 500 before any discount ? | 2gain |
what is the total number of d integers between 100 and 200 that are divisible by 3 ? | 0general |
10 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 5 women and 10 children take to complete the work ? | 1physics |
the average weight of a group of boys is 30 kg . after a boy of weight 38 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ? | 0general |
the output of a factory is increased by 10 % to keep up with rising demand . to handle the holiday rush , this new output is increased by 20 % . by approximately what percent would the output of the factory now have to be decreased in order to restore the original output ? | 0general |
maria sold 10 kg of apples in her first hour at the market , but only 2 kg of apples in the second hour . on average , how many kg of apples did she sell in two hours at the market ? | 1physics |
a can finish a piece of work in 15 days . b can do it in 30 days . they work together for 6 days and then a goes away . in how many days will b finish the work ? | 1physics |
find the largest 5 digit number which is exactly divisible by 88 ? | 0general |
a club wants to mix 15 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound . how many pounds of the $ 5.00 per pound candy should be used ? | 0general |
300 + 5 × 8 = ? | 0general |
a trained covered x km at 40 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km . | 0general |
the avg weight of a , b & c is 70 kg . if d joins the group , the avg weight of the group becomes 70 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 68 kg . what is the weight of a ? | 0general |
john paid a sum of money for purchasing 30 pens , which he recovered in full when he sold 20 of them . what was his percentage of profit or loss per pen ? | 2gain |
1 / 0.025 is equal to | 0general |
find the circumference and area of radius 4 cm . | 3geometry |
a train covers a distance of 18 km in 3 min . if it takes 4 sec to pass a telegraph post , then the length of the train is ? | 1physics |
a merchant sells an item at a 20 % discount , but still makes a gross profit of 25 percent of the cost . what percent of the cost would the gross profit on the item have been if it had been sold without the discount ? | 2gain |
evaluate : | 4 - 8 ( 3 - 12 ) | - | 5 - 11 | = | 0general |
how much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m , moving at 36 kmph in the same direction ? | 1physics |
a train covers a distance of 36 km in 12 min . if it takes 7 sec to pass a telegraph post , then the length of the train is ? | 1physics |
a sum of money deposited at c . i . amounts to rs . 2420 in 2 years and to rs . 3146 in 3 years . find the rate percent ? | 2gain |
the rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started . if after a minute and a half the gyroscope reached a speed of 800 meters per second , what was the speed , in meters per second , when the stopwatch was started ? | 1physics |
if i equals the sum of the even integers from 2 to 224 , inclusive , and k equals the sum of the even integers from 8 to 80 , inclusive , what is the value of i - k ? | 0general |
if 25 % of x is 15 less than 12 % of 1500 , then x is ? | 0general |
evaluate : 11 + sqrt ( - 4 + 6 × 4 ÷ 3 ) = . . . . | 0general |
a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 800,000 ? | 0general |
a trader sold an item at a loss of 18 % . if he had increased the price by $ 25 he would have made a gain of 5 % . what is the cost price of the item ? | 2gain |
if 3 women can color 180 m long cloth in 2 days , then 5 women can color 300 m long cloth in ? | 1physics |
if $ 5,000 is invested in an account that earns 6 % interest compounded semi - annually , then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8 % simple yearly interest ? | 2gain |
a train with 1200 m crosses a tree in 120 sec , how much time will i take to pass a platform 700 m long ? | 1physics |
the area of a circle is added to its diameter , and the circumference is then subtracted from this total , the result is 10 . what is the radius of the circle ? | 3geometry |
a circular well with a diameter of 2 metres , is dug to a depth of 8 metres . what is the volume of the earth dug out ? | 3geometry |
a man can row upstream at 5 kmph and downstream at 25 kmph , and then find the speed of the man in still water ? | 1physics |
sum of 49 odd numbers is ? | 0general |
a walks at 30 kmph and 30 hours after his start , b cycles after him at 40 kmph . how far from the start does b catch up with a ? | 1physics |
one side of a rectangular field is 16 m and one of its diagonal is 18 m . find the area of the field . | 3geometry |
the product of x and y is a constant . if the value of x is increased by 20 % , by what percentage must the value of y be decreased ? | 0general |
if 12 men or 20 women can do a piece of work in 27 days , then in how many days can 9 men and 12 women together do the work ? | 1physics |
how many trucks are there if each truck carrying 70 packages and total of 490 packages ? | 0general |
calculate 42120 ÷ ? = 195 | 0general |
the average of 6 observations is 14 . a new observation is included and the new average is decreased by 1 . the seventh observation is ? | 0general |
find the value of ( 50 + 20 / 90 ) × 90 | 0general |
if a and b are positive real numbers , and a ^ 3 + b ^ 3 = 20 , then the greatest possible value of a is between : | 0general |
the ages of 2 persons differ by 32 years . if 9 years ago the elder one be 5 times as old as the younger one , find the present age of elder person . | 0general |
what is the greatest possible length which can be used to measure exactly the lengths 18 m , 40 m and 6 m 50 cm ? | 1physics |
from january 1 , 2015 , to january 1 , 2017 , the number of people enrolled in health maintenance organizations increased by 5 percent . the enrollment on january 1 , 2017 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 2015 ? | 2gain |
the number which exceeds 16 % of it by 42 is : | 2gain |
in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 10 and the other one , that is cheaper , costs $ 2.5 . the factory holds a $ 62.50 worth stock of 22 modules . how many of the modules in the stock are of the cheaper kind ? | 5other |
mary goes into labor at her local grocery store and is rushed to a hospital in an ambulance traveling 60 mph . her husband don drives after the ambulance at an average speed of 30 mph . mary reaches the hospital fifteen minutes later . how long does it take don to get there from the store ? | 1physics |
what is the ratio between perimeters of two squares one having 7 times the diagonal then the other ? | 3geometry |
square a has an area of 65 square centimeters . square b has a perimeter of 16 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? | 3geometry |
in an election , candidate a got 80 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate . | 2gain |
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 560 sq . feet , how many feet of fencing will be required ? | 3geometry |
if a man earns rs 20 on first day and spends rs 15 on second day , and earns rs 20 on third day and spends rs 15 on fourth day and goes on on which day he will be having rs 60 . | 1physics |
4 mat - weaves can weaves 4 mats in 4 days . at the same rate , how many mats would be woven by 8 mat - weaves in 8 days ? | 2gain |
the average age of 36 students in a group is 14 years . when teacher ’ s age is included to it , the average increases by one . what is the teacher ’ s age in years ? | 0general |
two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train catches and completely passes the slower train in 18 seconds . what is the length of each train ( in meters ) ? | 1physics |
the numbers 272738 and 232342 , when divided by n , a 2 digit number leave a remainder 13 and 17 respectively . find the sum of digits of n ? | 0general |
a train is 360 meter long is running at a speed of 90 km / hour . in what time will it pass a bridge of 140 meter length ? | 1physics |
for each month of a given year except december , a worker earned the same monthly salary and donated one - tenth of that salary to charity . in december , the worker earned n times his usual monthly salary and donated one - fourth of his earnings to charity . if the worker ' s charitable contributions totaled one - eighth of his earnings for the entire year , what is the value of n ? | 0general |
if sharon ' s weekly salary increased by 16 percent , she would earn $ 348 per week . if instead , her weekly salary were to increase by 20 percent , how much would she earn per week ? | 0general |
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