Problem stringlengths 5 967 | category class label 6
classes |
|---|---|
x ^ 2 + sx + 72 = 0 has two distinct integer roots ; how many values are possible for s ? | 0general |
the sides of a square region , measured to the nearest centimeter , are 5 centimeters long . the least possible value of the actual area of the square region is | 3geometry |
an outlet pipe empties a tank which is full in 10 hours . if the inlet pipe is kept open , which lets water in at the rate of 4 litres / min then outlet pipe would take 6 hours longer . find the capacity of the tank . | 1physics |
a , b and c invest in the ratio of 3 : 4 : 5 . the percentage of return on their investments are in the ratio of 6 : 5 : 4 . find the total earnings , if b earns rs . 350 more than a : | 0general |
a train 50 m long is running with a speed of 68 kmph . in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ? | 1physics |
indu gave bindu rs . 4375 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ? | 2gain |
how many books each of volume 100 meter cube can be packed into a crate of volume 3000 meter cube ? | 3geometry |
an article is bought for rs . 675 and sold for rs . 700 , find the gain percent ? | 2gain |
having scored 98 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ? | 0general |
p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 50 days to complete the same work . then q alone can do it in | 1physics |
dhoni spent 40 percent of his earning last month on rent and 20 percent less than what he spent on rent to purchase a new dishwasher . what percent of last month ' s earning did dhoni have left over ? | 2gain |
a man whose bowling average is 12.4 , takes 7 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 |
137 + 276 = 435 how much is 731 + 672 ? | 0general |
a batsman scored 120 runs which included 6 boundaries and 4 sixes . what % of his total score did he make by running between the wickets | 0general |
a bag contains 3 red , 2 blue and 4 green balls . if 2 balls are picked at random , what is the probability that both are red ? | 5other |
two pipes can separately fill a tank in 20 and 30 hours respectively . both the pipes are opened to fill the tank but when the tank is full , a leak develops in the tank through which one - third of water supplied by both the pipes goes out . what is the total time taken to fill the tank ? | 1physics |
the area of playground is 5900 sq . meters . what will be the cost of covering it with grass sheet 1 cm deep , if cost of grass sheet is $ 2.80 per cubic meter . | 1physics |
hcf and lcm two numbers are 12 and 396 respectively . if one of the numbers is 48 , then the other number is ? | 1physics |
the total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year , less the age of the tree in years ( rounded down to the nearest integer ) . during its 4 th year , the plum tree grew 50 plums . if this trend continues , how many plums will it grow during its 6 th year ? | 0general |
a person buys an article at rs . 500 . at what price should he sell the article so as to make a profit of 20 % ? | 2gain |
if x ^ 2 is divisible by 240 what is the least possible value of integer x ? | 0general |
machine t can produce x units in 3 / 4 of the time it takes machine n to produce x units . machine n can produce x units in 2 / 3 the time it takes machine o to produce x units . if all 3 machines are working simultaneously , what fraction of the total output is produced by machine n ? | 0general |
( ( 1 ^ m ) / ( 5 ^ m ) ) ( ( 1 ^ 16 ) / ( 4 ^ 16 ) ) = 1 / ( 2 ( 10 ) ^ 31 ) what is m ? | 0general |
in a recent head - to - head run - off election , 12000 absentee ballets were cast . 1 / 6 of the absentee ballets were thrown out and 3 / 5 of the remaining absentee ballets were cast for candidate a . how many absentee votes did candidate b receive ? | 0general |
one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund . if he has rs . 1 , 00,000 as total savings , how much has he saved in public provident fund ? | 0general |
what is the probability that company g ' s advertisement will be one of the first two be shown during the first commercial break ? | 4probability |
at what rate percent on simple interest will rs . 750 amount to rs . 900 in 10 years ? | 2gain |
one drier dries certain quantity of material in 24 minutes . another drier does the same work in 2 minutes how much time will it take to do the same job when both driers are put to work ? | 1physics |
if the lcm and hcf of 8 and another number is 24 and 4 respectively . find the other number ? | 1physics |
the average age of an adult class is 40 years . 18 new students with an avg age of 32 years join the class . therefore decreasing the average by 4 year . find what was theoriginal strength of class ? | 0general |
a number whose fifth part increased by 7 is equal to its fourth part diminished by 7 is ? | 0general |
a tradesman sold an article at a loss of 25 % . if the selling price had been increased by $ 500 , there would have been a gain of 15 % . what was the cost price of the article ? | 2gain |
find the area , diameter = 9 m . | 1physics |
if 1.5 x = 0.04 y then the value of ( y - x ) / ( y + x ) is | 0general |
the distance from the x - axis to point p is half the distance from the y - axis to point p . if the coordinates of p are ( x , - 8 ) , how many units is p from the y - axis ? | 0general |
150 liters of a mixture of milk and water contains in the ratio 3 : 2 . how much water should now be added so that the ratio of milk and water becomes 3 : 4 ? | 0general |
two years ago , john put $ 5000 into a savings account . at the end of the first year , his account had accrued $ 500 in interest bringing his total balance to $ 5500 . the next year , his account balance increased by 10 % . at the end of the two years , by what percent has john ' s account balance increased from his initial deposit of $ 5000 ? | 2gain |
a bucket full of nuts was discovered by the crow living in the basement . the crow eats a fifth of the total number of nuts in 6 hours . how many hours in total will it take the crow to finish a quarter of the nuts ? | 0general |
how much is 65 % of 40 is greater than 4 / 5 of 25 ? | 0general |
in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number r and the smallest possible number of students that could have taken both geometry and biology ? | 5other |
if the numerator of a fraction be increased by 12 % and its denominator decreased by 2 % the value of the fraction becomes 6 / 7 . thus , the original fraction is : | 0general |
3 - fourth of two - third of 3 - seventh of a number is 27 . what is 10 % of that number ? | 2gain |
a shipment of 250 smartphones contains 67 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ? | 5other |
tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 11 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ? | 1physics |
( 17 ) 4.25 x ( 17 ) ? = 178 | 0general |
cole drove from home to work at an average speed of 75 kmh . he then returned home at an average speed of 105 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ? | 1physics |
65 % of x = 20 % of 487.50 . find the value of x ? | 0general |
m = { - 6 , - 5 , - 4 , - 3 , - 2 } t = { - 3 , - 2 , - 1 , 0 , 1 , 2 , 3 , 4 , 5 } if an integer is to be randomly selected from set m above and an integer is to be randomly selected from set t above , what is the probability that the product of the two integers will be negative ? | 0general |
how many pieces of 85 cm length can be cut from a rod of 42.5 meters long ? | 1physics |
if xerox paper costs 5 cents a sheet and a buyer gets 10 % discount on all xerox paper one buys after the first 2000 papers and 20 % discount after first 10000 papers , how much will it cost to buy 45000 sheets of xerox paper ? | 2gain |
a man buys an article for $ 10 . and sells it for $ 15 . find the gain percent ? | 2gain |
there are 10 fictions and 6 non - fictions . how many cases are there such that 2 fictions and 2 non - fictions are selected from them ? | 0general |
if a * b * c = ( β ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 5 . | 0general |
the speed of a car is 120 km in the first hour and 60 km in the second hour . what is the average speed of the car ? | 1physics |
if a ( a + 6 ) = 7 and b ( b + 6 ) = 7 , where a β b , then a + b = | 0general |
fred and sam are standing 50 miles apart and they start walking in a straight line toward each other at the same time . if fred walks at a constant speed of 5 miles per hour and sam walks at a constant speed of 5 miles per hour , how many miles has sam walked when they meet ? | 1physics |
when a number is divided by 6 & then multiply by 12 the answer is 9 what is the no . ? | 0general |
31 of the scientists that attended a certain workshop were wolf prize laureates , and 12 of these 31 were also nobel prize laureates . of the scientists that attended that workshop and had not received the wolf prize , the number of scientists that had received the nobel prize was 3 greater than the number of scientists that had not received the nobel prize . if 50 of the scientists attended that workshop , how many of them were nobel prize laureates ? | 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 fraction of all the students are on the honor roll ? | 0general |
the average of 10 numbers is 23 . if each number is increased by 3 , what will the new average be ? | 0general |
in an election , candidate a got 60 % 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 |
the duplicate ratio of 2 : 6 is ? | 5other |
the least number , which when divided by 12 , 15 , 20 and 54 leaves in each case a remainder of 5 is : | 0general |
excluding stoppages , the speed of a bus is 50 kmph and including stoppages , it is 43 kmph . for how many minutes does the bus stop per hour ? | 1physics |
a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 7000 as profit , what is their total profit ? | 0general |
a man has rs . 10350 in the form of rs . 50 notes and rs . 500 notes . the total number of notes are 36 . find the number of notes of rs . 50 denomination . | 0general |
a part of certain sum of money is invested at 8 % per annum and the rest at 12 % per annum , if the interest earned in each case for the same period is equal , then ratio of the sums invested is ? | 2gain |
the ratio of the arithmetic mean of two numbers to one of the numbers is 3 : 5 . what is the ratio of the smaller number to the larger ? | 5other |
what ratio must a shopkeepermix peas and soybean of rs . 16 and rs . 25 / kg , as to obtain a mixture of rs . 20 ? | 0general |
a sum of money deposited at c . i . amounts to rs . 3000 in 3 years and to rs . 3600 in 4 years . find the rate percent ? | 2gain |
the product z of two prime numbers is between 15 and 36 . if one of the prime numbers is greater than 2 but less than 6 and the other prime number is greater than 8 but less than 24 , then what is z ? | 0general |
a sum amounts to rs . 3087 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ? | 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 : 37 . in the company , what is the maximum number of non - managers in a department that has 11 managers ? | 0general |
rebecca ' s yearly income is $ 15000 and jimmy ' s annual income is $ 18000 . by how much must rebecca ' s yearly income increase so that it constitutes 55 % of rebecca and jimmy ' s combined income ? | 0general |
a car traveling at a certain constant speed takes 5 seconds longer to travel 1 km than it would take to travel 1 km at 75 km / hour . at what speed , in km / hr , is the car traveling ? | 1physics |
by investing in 1623 % stock at 64 , one earns rs . 1900 . the investment made is | 2gain |
the average of 10 numbers is 23 . if each number is increased by 5 , what will the new average be ? | 0general |
how many days per calendar year is the month a factor of the day | 5other |
a contractor undertakes to do a job within 100 days and hires 10 people to do it . after 20 days , he realizes that one fourth of the work is done so he fires 2 people . in how many more days m will the work get over ? | 1physics |
a train 100 m long crosses a platform 100 m long in 12 sec ; find the speed of the train ? | 1physics |
if circles x and y have the same area and circle x has a circumference of 14 Ο , half of the radius of circle y is : | 3geometry |
the sum of three consecutive integers is 93 . what are the integers ? | 1physics |
a store owner estimates that the average price of type a products will increase by 25 % next year and that the price of type b products will increase by 20 % next year . this year , the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ? | 0general |
when n is divided by 20 , the remainder is 6 . what is the remainder when n + 16 is divided by 5 ? | 0general |
on a sum of money , the s . i . for 2 years is $ 660 , while the c . i . is $ 693 , the rate of interest being the same in both the cases . the rate of interest is ? | 2gain |
in a group of ducks and cows , the total number of legs are 32 more than twice the number of heads . find the total number of cows . | 0general |
a is half good a work man as b and together they finish a job in 12 days . in how many days working alone b finish the job ? | 1physics |
a cyclist traveled for two days . on the second day the cyclist traveled 4 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day . if during the two days she traveled a total of 280 miles and spent a total of 10 hours traveling , what was her average speed on the second day ? | 1physics |
a pair of articles was bought for $ 50 at a discount of 40 % . what must be the marked price of each of the article ? | 2gain |
find the area of trapezium whose parallel sides are 28 cm and 20 cm long , and the distance between them is 21 cm ? | 1physics |
by selling 16 pencils for a rupee a man loses 5 % . how many for a rupee should he sell in order to gain 15 % ? | 2gain |
if 7 : 13 : : 301 : x then the value of β x β is : | 0general |
two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 45 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ? | 1physics |
the difference between c . i . and s . i . on an amount of $ 10,000 for 2 years is $ 49 . what is the rate of interest per annum ? | 2gain |
find the value of x . ( 47 % of 1442 - 36 % of 1412 ) + 66 = x ? | 0general |
9823 + x = 13200 , then x is ? | 0general |
a store β s selling price of $ 2500 for a certain printer would yield a profit of 40 percent of the store β s cost for the printer . what selling price would yield a profit of 50 percent of the printer β s cost ? | 2gain |
in a soccer bet , we play 4 teams . first team odd 1.28 , second 5.23 , third 3.25 , fourth 2.05 . we place the bet with 5.00 euros . how much money we expect to win ? | 0general |
sum of two numbers prime to each other is 16 and their l . c . m . is 63 . what are the numbers ? | 1physics |
find the area of trapezium whose parallel sides are 22 cm and 18 cm long , and the distance between them is 15 cm . | 1physics |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.