Problem stringlengths 5 967 | category class label 6
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14 men can complete a piece of work in 22 days . in how many days can 18 men complete that piece of work ? | 1physics |
what amount does an investor receive if the investor invests $ 7000 at 10 % p . a . compound interest for two years , compounding done annually ? | 2gain |
15 times a number gives 150 . the number is | 0general |
on a certain date , pat invested $ 10,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 12 years will be $ 40,000 , in how many years , the total value of the investment plus interest will increase to $ 320,000 ? | 0general |
what is the total surface area in square meters of a rectangular solid whose length is 10 meters , width is 9 meters , and depth is 6 meters ? | 3geometry |
39 persons can repair a road in 12 days , working 10 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ? | 1physics |
find the lcm of 0.6 , 9.6 and 0.36 . | 1physics |
what is the rate percent when the simple interest on rs . 4000 amount to rs . 320 in 2 years ? | 2gain |
man can row upstream at 30 kmph and downstream at 40 kmph , and then find the speed of the man in still water ? | 1physics |
two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 4 hours and 10 hours respectively . the ratio of their speeds is | 1physics |
for a certain exam , a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean . what was the mean score q for the exam ? | 0general |
the standard deviation of a normal distribution of data is 2 , and 3 standard deviations below the mean is greater than 47 . what is a possible value for the mean of the distribution ? | 0general |
a cycle is bought for rs . 900 and sold for rs . 1120 , find the gain percent ? | 2gain |
6.006 / 3.003 | 0general |
the ratio between the sale price and the cost price of an article is 4 : 3 . what is the ratio between the profit and the cost price of that article ? | 5other |
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 passes the slower train in 27 seconds . what is the length of each train ( in meters ) ? | 1physics |
the average of 35 numbers is 25 . if each number is multiplied by 5 , find the new average ? | 0general |
the average mark of the students of a class in a particular exam is 80 . if 5 students whose average mark in that exam is 50 are excluded , the average mark of the remaining will be 90 . find the number of students who wrote the exam . | 0general |
if n = 5 ^ 11 – 5 , what is the units digit of n ? | 0general |
p , q and r have rs . 4000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ? | 0general |
8500 + ( 1600 ÷ ? ) of 1 / 5 = 8501 | 0general |
8.008 / 4.004 | 0general |
two friends a , b decided to share a lot of apples . each of them had half of the total plus half an apple in order . after each of them took their share 4 time , no apples were left . how many apples were there ? | 0general |
find the simple interest on $ 10000 at 9 % per annum for 12 months ? | 2gain |
when positive integer n is divided by 3 , the remainder is 1 . when n is divided by 5 , the remainder is 3 . what is the smallest positive integer k such that k + n is a multiple of 15 ? | 0general |
how many multiples of 4 are there between 64 and 256 ? | 0general |
at the end of the month , a certain ocean desalination plant ’ s reservoir contained 14 million gallons of water . this amount is twice the normal level . if this amount represents 70 % of the reservoir ’ s total capacity , how many million gallons short of total capacity is the normal level ? | 0general |
of the 14,210 employees of the anvil factory , 2 / 7 are journeymen . if half of the journeymen were laid off , what percentage of the total remaining employees would be journeymen ? | 0general |
what is the value of x ^ 2 yz − xyz ^ 2 , if x = 1 , y = 1 , and z = 3 ? | 0general |
a circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 24 % home electronics ; 10 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ? | 2gain |
the difference between a 7 digit number and the number formed by reversing its digit is not a multiple of | 0general |
f and e are midpoints of ab and ad respectively . if the side of square abcd is 8 , what is the area of triangle cef ? | 3geometry |
two trains of length 120 meter and 150 meter crosses a stationary man in 10 and 15 seconds respectively . in what time they will cross each other when they are moving in same direction . | 1physics |
a , b two inlet pipes takes 15,18 minutes to fill the tank and c an oulet pipe takes 45 minutes to empty the tank respectively . in what time the tank be filled if all of them are operated together ? | 1physics |
a car traveled from san diego to san francisco at an average speed of 63 miles per hour . if the journey back took twice as long , what was the average speed of the trip ? | 1physics |
at the opening of a trading day at a certain stock exchange , the price per share of stock k was $ 6 . if the price per share of stock k was $ 8 at the closing of the day , what was the percent increase in the price per share of stock k for that day ? | 0general |
a man engaged a servant on the condition that he would pay him rs . 900 and a uniform after one year service . he served only for 9 months and received uniform and rs . 650 , find the price of the uniform ? | 0general |
how many pieces of 85 cm length can be cut from a rod of 29.75 meters long ? | 1physics |
for every even positive integer m , f ( m ) represents the product of all even integers from 2 to m , inclusive . for example , f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12 . what is the greatest prime factor of f ( 30 ) ? | 0general |
in a office work is distribute between p persons . if 1 / 3 members are absent then work increased for each person is ? | 0general |
find the area of a parallelogram with base 60 cm and height 16 cm ? | 3geometry |
in front of you lies a figure made up with 20 x 10 square blocks . will you be able to find out the number of unique squares and rectangles that are being formed inside this figure by combining two or more distinct squares ? | 3geometry |
the average salary of a person for the months of january , february , march and april is rs . 8000 and that for the months february , march , april and may is rs . 8400 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ? | 0general |
if a light flashes every 6 seconds , how many times will it flash in 2 / 5 of an hour ? | 1physics |
the sides of the triangle are in the ratio 1 / 2 : 1 / 3 : 1 / 4 and its perimeter is 104 cm . the length of the longest side is ? | 3geometry |
what percent of 11 is 11 percent of 1 ? | 2gain |
the area of a square is equal to five times the area of a rectangle of dimensions 20 cm * 16 cm . what is the perimeter of the square ? | 3geometry |
on a race track a maximum of 5 horses can race together at a time . there are a total of 25 horses . there is no way of timing the races . what is the minimum number w of races we need to conduct to get the top 3 fastest horses ? | 0general |
what is 66.67 % of 804 of 0.1666 ? | 2gain |
find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs . 870 ? | 0general |
how many multiples of 2 are there between 1 and 60 , exclusive ? | 0general |
the bankers discount of a certain sum of money is rs . 576 and the true discount on the same sum for the same time is rs . 480 . the sum due is : | 2gain |
a pair of articles was bought for $ 50 at a discount of 30 % . what must be the marked price of each of the article ? | 2gain |
in an intercollegiate competition that lasted for 3 days , 185 students took part on day 1 , 150 on day 2 and 200 on day 3 . if 100 took part on day 1 and day 2 and 110 took part on day 2 and day 3 and 50 took part on all three days , how many students took part only on day 3 ? | 1physics |
express a speed of 46 kmph in meters per second ? | 1physics |
simplify 80 â ˆ ’ [ 5 â ˆ ’ ( 6 + 2 ( 7 â ˆ ’ 8 â ˆ ’ 5 â ¯ â ¯ â ¯ â ¯ â ¯ â ¯ â ¯ â ¯ â ¯ â ¯ â ¯ ) ) ] | 0general |
solve the equation for x : 19 ( x + y ) + 17 = 19 ( - x + y ) - 21 ? | 0general |
if rs . 7500 are borrowed at c . i at the rate of 4 % per annum , then after 5 years the amount to be paid is ? | 2gain |
a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 204 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ? | 0general |
( 32323 + 7344 + 41330 ) - ( 317 x 91 ) = ? | 0general |
an amount of rs . 1560 was divided among a , b and c , in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of c ? | 0general |
42 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ? | 1physics |
how many three - digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6 ? | 0general |
find the area of a parallelogram with base 32 cm and height 18 cm ? | 3geometry |
the number 91 is equal to the sum of the cubes of two integers . what is the product of those integers ? | 0general |
a student multiplied a number by 3 / 5 instead of 5 / 3 . what is the percentage error in the calculation ? | 0general |
angelina walked 250 meters from her home to the grocery at a constant speed . she then walked 360 meters to the gym at double the speed . she spent 70 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ? | 1physics |
2 + 2 + 2 ^ 2 + 2 ^ 3 + 2 ^ 4 + 2 ^ 5 + 2 ^ 6 + 2 ^ 7 + 2 ^ 8 = | 0general |
a discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price . if , during a special sale , an additional 20 percent were to be deducted from the discount price , what would be the lowest possible price of an item costing $ 400 before any discount ? | 2gain |
logx 16 = 0.8 then what is the value of x ? | 0general |
a 16 % stock yielding 8 % is quoted at ? | 2gain |
at an elementary school , 70 % of the faculty members are women and 40 % of the faculty members are married . if 1 ⁄ 3 of the men are single , what fraction of the men are married ? | 2gain |
find the sum the difference between the compound and s . i . on a certain sum of money for 2 years at 10 % per annum is rs . 12 of money ? | 0general |
a man whose bowling average is 12.4 , takes 3 wickets for 26 runs and there by decreases his average by 0.4 . the number of wickets taken by him before his last match is ? | 0general |
a 40 - liter solution of alcohol and water is 5 percent alcohol . if 3.5 liters of alcohol and 6.5 liters of water are added to this solution , what percent of the solution produced is alcohol ? | 0general |
how long does a train 110 m long traveling at 90 kmph takes to cross a bridge of 170 m in length ? | 1physics |
if 12 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days ? | 1physics |
a martian bat flies at 60 yards per second from its nest to a dry lake . when it arrives there , it immediately continues at 45 yards per second to a nearby cave . if the distance between the lake and the cave is half the distance between the nest and the lake , what is the average speed , in yards per second , of the bat during the whole flight ? | 1physics |
the sum of all the integers k such that – 20 < k < 24 is | 0general |
a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume . if 2,000 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ? | 2gain |
a tank is filled in 10 hours by 3 pipes a , b and c . pipe a is twice as fast as pipe b , and b is twice as fast as c . how much time will pipe b alone take to fill the tank ? | 1physics |
the sum of the first 50 positive even integers is 2550 . what is the sum e of even integers from 102 to 200 inclusive ? | 0general |
a , b and c rents a pasture for rs . 928 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? | 0general |
in a class of 28 students in an examination in maths 4 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ? | 0general |
gopi gives rs . 90 plus one turban as salary to his servant for one year . the servant leaves after 9 months and receives rs . 65 and the turban . find the price of the turban . | 0general |
the temperature of a certain cup of coffee 30 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit ? | 0general |
the sum of three consecutive even numbers is 246 . what are the numbers ? | 1physics |
two pipes a and b can separately fill a cistern in 60 minutes and 120 minutes respectively . there is a third pipe in the bottom of the cistern to empty it . if all the three pipes are simultaneously opened , then the cistern is full in 60 minutes . in how much time , the third pipe alone can empty the cistern ? | 1physics |
if the average of 10 consecutive integers is 23.5 then the 10 th integer is : - | 0general |
a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ? | 1physics |
the distance between west - town to east - town is 16 kilometers . two birds start flying simultaneously towards one another , the first leaving from west - town at a speed of 5 kilometers per minute and the second bird , leaving from east - town , at a speed of 1 kilometers per minute . what will be the distance , in kilometers , between the meeting point and west - town ? | 1physics |
which 2 digit number has its digits reversed when you double it and take 1 ? | 0general |
by selling 8 pencils for a rupee a man loses 10 % . how many for a rupee should he sell in order to gain 10 % ? | 2gain |
if the sum of a number and its square is 132 , what is the number ? | 3geometry |
during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 180 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ? | 1physics |
a discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price . if , during a special sale , an additional 25 percent were to be deducted from the discount price , what would be the lowest possible price of an item costing $ 260 before any discount ? | 2gain |
if 2464 / 1.12 = 2200 , then 246.4 / 11.2 is equal to ? | 0general |
if 4 men can paint 60 m long wall in 3 days , then 5 men can paint 50 m long wall in | 1physics |
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10 % while buying and by 10 % while selling . what is his percentage profit ? | 2gain |
a cricketer scored 152 runs which included 12 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets . | 0general |
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