Problem
stringlengths 5
967
| category
class label 6
classes |
|---|---|
a is 1.5 times as fast as b . a alone can do the work in 30 days . if a and b work on alternative days , beginning with a , in how many days will the work be completed ? | 1physics
|
5355 x 51 = ? | 0general
|
he ratio between the sale price and the cost price of an article is 3 : 1 . what is the ratio between the profit and the cost price of that article ? | 5other
|
p and q started a business investing rs . 85,000 and rs . 45,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ? | 2gain
|
there are a total of 100 jars on the shelf . small jars hold 3 liters and large jars hold 5 liters . the jars can hold a total of 376 liters . how many small jars are on the shelf ? | 0general
|
trapezoid jklm in the x - y plane has coordinates j = ( – 2 , – 5 ) , k = ( – 2 , 1 ) , l = ( 6 , 7 ) , and m = ( 6 , – 5 ) . what is its perimeter ? | 1physics
|
find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 10 as remainder | 0general
|
1 , 0.2 , 0.08 , 0.48 , 0.0384 , ____ | 0general
|
a certain number when divided by 45 leaves a remainder 31 , what is the remainder if the same number be divided by 15 ? | 0general
|
a person is saving money to purchase a car . he earns â £ 4000 per month and saves â £ 500 to buy the car . if he needs â £ 45000 to buy his dream car . how much money he will earn , before he saves enough money to buy the car ? | 0general
|
by investing rs . 1800 in 9 % stock , syam earns rs . 120 . the stock is then quoted at | 2gain
|
the rowing athletes in a rowing conference voted for coach of the year . each rower who voted chose exactly 3 coaches to vote for among the 36 coaches in the conference . if each of the 36 coaches received exactly 5 votes ( a 36 way tie ) , how many rowers voted for coach of the year ? | 0general
|
i . x + 2 y + 3 z = 2 ii . x + y - z = 0 iii . 2 x + 2 y - z = 1 what is the value of y in the system above ? | 0general
|
if grapes are 90 % water and raisins are 15 % water , then how many kilograms did a quantity of raisins , which currently weighs 12 kilograms , weigh when all the raisins were grapes ? ( assume that the only difference between their raisin - weight and their grape - weight is water that evaporated during their transformation . ) | 0general
|
salesperson a ' s compensation for any week is $ 210 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of b ' s total sales for that week . for what amount of total weekly sales would both salespeople earn the same compensation ? | 0general
|
a car travels uphill at 30 km / hr and downhill at 50 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ? | 0general
|
if [ [ x ] ] = x ^ 2 + 2 x + 4 , what is the value of [ [ 7 ] ] ? | 0general
|
a fruit seller had some oranges . he sells 40 % oranges and still has 540 oranges . how many oranges he had originally ? | 2gain
|
if | 5 x - 15 | = 100 , then find the sum of the values of x ? | 0general
|
the speed of a boat in still water is 25 kmph . if it can travel 10 km upstream in 1 hr , what time it would take to travel the same distance downstream ? | 1physics
|
a train 125 m long passes a man , running at 10 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ? | 1physics
|
on an order of 5 dozen boxes of a consumer product , a retailer receives an extra dozen free . this is equivalent to allowing him a discount of : | 0general
|
seller selling an apple for rs . 17 , a seller loses 1 / 6 th of what it costs him . the cp of the apple is ? | 0general
|
there are two positive numbers in the ratio 7 : 11 . if the larger number exceeds the smaller by 16 , then find the smaller number ? | 5other
|
what is rate of interest if principal . amount be 400 , simple interest 120 and time 2 year . | 2gain
|
a fair coin is tossed 15 times . what is the probability of getting more heads than tails in 15 tosses ? | 4probability
|
a bowler can take max . 3 wickets in a over . if he bowls 6 overs in an innings , how many maximum wickets can he take ? | 0general
|
if the personal income tax rate is lowered from 42 % to 32 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 42400 ? | 2gain
|
( 5568 / 87 ) 1 / 3 + ( 72 x 2 ) 1 / 2 = ( ? ) 1 / 2 ? | 0general
|
at the end of the first quarter , the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year . at the end of the second quarter , the share price was 50 percent higher than it was at the beginning of the year . what was the percent increase in the share price from the end of the first quarter to the end of the second quarter ? | 2gain
|
find the 25 % of rs . 800 . | 2gain
|
what is the 50 th digit to the right of the decimal point in the decimal form of 48 / 88 ? | 0general
|
a crate measures 5 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 pharmaceutical company received $ 4 million in royalties on the first $ 50 million in sales of and then $ 12 million in royalties on the next $ 170 million in sales . by approximately what percentage did the ratio of royalties to sales decrease from the first $ 50 million in sales to the next $ 170 million in sales ? | 0general
|
what is the minimum number of square tiles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm ? | 1physics
|
three rugs have a combined area of 204 square meters . by overlapping the rugs to cover floor area of 140 square meters , the area that is covered by exactly two layers of rug is 24 square meters . what is the area that is covered with three layers of rug ? | 3geometry
|
there is a train and car . the ratio between the speed of a train & a car is 24 : 19 respectively . also , a bus covered a distance of 320 km in 5 hours . the speed of the bus is 2 / 3 rd of the speed of the train . how many kilometers will the car cover in 4 hours ? | 1physics
|
in a group of 100 cars , 37 cars do not have air conditioning . if at least 41 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ? | 5other
|
a man goes downstream at 12 kmph , and upstream 8 kmph . the speed of the stream is | 1physics
|
micheal and adam can do together a piece of work in 20 days . after they have worked together for 18 days micheal stops and adam completes the remaining work in 10 days . in how many days micheal complete the work separately . | 1physics
|
sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m , the cost of fencing it at 30 ps per meter is ? | 1physics
|
how many 7 in between 1 to 80 ? | 0general
|
a batsman in his 12 th innings makes a score of 115 and thereby increases his average by 3 runs . what is his average after the 12 th innings if he had never been ‘ not out ’ ? | 0general
|
the ratio 3 : 5 expressed as a percent equals | 0general
|
when positive integer n is divided by positive integer j , the remainder is 28 . if n / j = 142.07 , what is value of j ? | 0general
|
find the annual dividend received by nishita from 1200 preferred shares and 3000 common shares both of par value rs . 50 each if the dividend paid on preferred shares is 10 % and semi - annual dividend of 3 ½ % is declared on common shares . | 0general
|
length of a rectangular plot is 32 mtr more than its breadth . if the cost of fencin gthe plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ? | 1physics
|
the distance from city a to city b is 120 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ? | 1physics
|
solve : 12.05 * 5.4 + 0.6 | 0general
|
an investment yields an interest payment of $ 225 each month . if the simple annual interest rate is 9 % , what is the amount of the investment ? | 2gain
|
list i : { y , 2 , 4 , 7 , 10 , 11 } list ii : { 3 , 3 , 4 , 6 , 7 , 10 } if the median q of list i is equal to the sum of the median of list ii and the mode of list ii , then y equals | 0general
|
in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 135 girls , the total number of students in the college is ? | 5other
|
an agent , gets a commission of 2.5 % on the sales of cloth . if on a certain day , he gets rs . 18 as commission , the cloth sold through him on that day is worth | 2gain
|
if 45 - [ 28 - { 37 - ( 15 - * ) } ] = 58 , then * is equal to : | 0general
|
if the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is ? | 1physics
|
a man walked a certain distance south and then the same distance plus 7 km due west . he is now 13 km from his starting point . what are the distances south and west that he walked ? | 1physics
|
out of 40 applicants to a law school , 15 majored in political science , 20 had a grade point average higher than 3.0 , and 10 did not major in political science and had a gpa equal to or lower than 3.0 . how many r applicants majored in political science and had a gpa higher than 3.0 ? | 0general
|
a grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches . if the measurement of each soap box is 7 inches by 12 inches by 5 inches , then what is the maximum number of soap boxes that can be placed in each carton ? | 0general
|
if 25 % of x is 15 less than 15 % of 1600 , then x is ? | 0general
|
30 ladies and 60 gentlemen are present at a party . there are 23 couples among them . if a lady and a gentleman is selected at random , what is the probability that they will be a couple ? | 4probability
|
in a class , 30 % of the students speaks truth , 20 % speaks lie and 10 % speaks both . if a student is selected at random , what is the probability that he has speak truth or lie ? | 5other
|
the milk level in a rectangular box measuring 50 feet by 25 feet is to be lowered by 6 inches . how many gallons of milk must be removed ? ( 1 cu ft = 7.5 gallons ) | 0general
|
in the new budget , the price of kerosene oil rose by 25 % . by how much percent must a person reduce his consumption so that his expenditure on it does not increase ? | 0general
|
the length of minute hand of a clock is 5.2 cm . what is the area covered by this in 10 minutes | 1physics
|
the lcm of two numbers is 2310 and hcf is 26 . if one of the numbers is 210 . then what is the other number ? | 1physics
|
find the compound interest accrued on an amount of rs . 14,800 at 13.5 % p . a at the end of two years . ( round off your answer to nearest integer ) | 2gain
|
if all of the telephone extensions in a certain company must be even numbers , and if each of the extensions uses all 4 of the digits 1 , 2 , 3 , and 8 , what is the greatest number of 4 - digit extensions that the company can have ? | 0general
|
a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 7 per sq m ? | 3geometry
|
of 40 applicants for a job , 24 had at least 4 years ' experience , 15 had degrees , and 4 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ? | 0general
|
what is the sum of all the multiples of 3 between 30 and 80 ? | 0general
|
the first half of the 20 th century , the population of a particular country increased by 200 percent . in the second half of the century , the population increased by 300 percent . what was the percent increase for the 20 th century as a whole ? | 2gain
|
at a certain restaurant , the average ( arithmetic mean ) number of customers served for the past x days was 60 . if the restaurant serves 120 customers today , raising the average to 70 customers per day , what is the value of x ? | 0general
|
100 students appeared in 2 tests . 60 students passed 1 st test . 40 students passed in the 2 nd test . 20 students passed in both 1 and 2 tests . what is the probability of the students who failed in both tests ? | 5other
|
how many 3 - digit even numbers are possible such that if one of the digits is 5 , the next / succeeding digit to it should be 6 | 0general
|
there has been successive increases of 30 % and then 20 % in the price of gas from the previous month . by what percentage should a driver reduce gas consumption so that the expenditure does not change ? | 0general
|
a train speeds past a pole in 50 seconds and a platform 500 m long in 100 seconds . its length is : | 1physics
|
if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 24 - m ) then m = ? | 0general
|
a seller of used cars has 16 cars to sell and each of his clients selected 2 cars that he liked most . if each car was selected exactly thrice , how many clients visited the garage ? | 0general
|
two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 9 : 17 . the first number is ? | 5other
|
the smallest fraction , which each of 6 / 7 , 5 / 14 , 10 / 21 will divide exactly is ? | 0general
|
a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 40 % lemonade syrup ? | 2gain
|
the length of a rectangular floor is more than its breadth by 200 % . if rs . 640 is required to paint the floor at the rate of rs . 5 per sq m , then what would be the length of the floor ? | 2gain
|
a reduction of 15 % in the price of wheat enables a house wife to obtain 3 kgs more for rs . 500 , what is the reduced price for kg ? | 2gain
|
in a certain corporation , there are 300 male employees and 150 female employees . it is known that 20 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? | 5other
|
the ration of the father ’ s age to his son ’ s age is 7 : 3 . the product of their ages is 756 . the ratio of their ages after 6 years will be : | 0general
|
at a certain university , 68 % of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ? | 2gain
|
how many times are the hands of a clock at right angles in a day ? | 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 240 miles and spent a total of 12 hours traveling , what was her average speed on the second day ? | 1physics
|
a is twice as good as workman as b and together they finish a piece of work in 18 days . in how many days will b alone finish the work . | 1physics
|
in the xy - coordinate system , what is the slope of the line that goes through the origin and is equidistant from the two points p = ( 4 , 6 ) and q = ( 6 , 2 ) ? | 0general
|
an item is being sold for $ 10 each . however , if a customer will “ buy at least 3 ” they have a promo discount of 15 % . also , if a customer will “ buy at least 10 ” items they will deduct an additional 8 % to their “ buy at least 3 ” promo price . if sam buys 10 pcs of that item how much should he pay ? | 2gain
|
the perimeter of a rectangle is 60 mete ( 132 ) 7 × ( 132 ) ? = ( 132 ) 11.5 . | 3geometry
|
the youngest of 4 children has siblings who are 3 , 5 , and 8 years older than she is . if the average ( arithmetic mean ) age of the 4 siblings is 21 , what is the age of the youngest sibling ? | 0general
|
a can do a piece of work in 15 days and b can do it in 15 days and c can do it 20 days . they started the work together and a leaves after 2 days and b leaves after 4 days from the beginning . how long will work lost ? | 1physics
|
the speed of a boat in still water is 36 kmph . what is the speed of the stream if the boat can cover 80 km downstream or 40 km upstream in the same time ? | 1physics
|
a man buys a cycle for rs . 1800 and sells it at a loss of 10 % . what is the selling price of the cycle ? | 2gain
|
if n divided by 11 has a remainder of 1 , what is the remainder when 5 times n is divided by 11 ? | 0general
|
an artist wishes to paint a circular region on a square poster that is 3.4 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ? | 3geometry
|
the value of ( 34.31 * 0.473 * 1.567 ) / ( 0.0673 * 23.5 * 7.57 ) is close to | 0general
|
a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 47 , then how old is b ? | 0general
|
Subsets and Splits