Problem stringlengths 5 967 | category class label 6
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13 ltr of water is added with 11 ltr of a solution containing 16 % of alcohol in the water . the % of alcohol in the new mixture is ? | 0general |
a straight line in the xy - plane has y - intercept of 49 . on this line the x - coordinate of the point is 71 and y - coordinate is 12 then what is the slope of the line ? | 0general |
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1116 in total compen... | 0general |
a train 450 m long running at 126 kmph crosses a platform in 20 sec . what is the length of the platform ? | 1physics |
200 is increased by 25 % . find the final number . | 2gain |
given that 268 x 74 = 19332 , find the value of 2.68 x . 74 . | 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 30 % 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 ... | 0general |
the average age of applicants for a new job is 31 , with a standard deviation of 8 . the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age . what is the maximum number of different ages of the applicants ? | 0general |
4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 12 weavers in 12 days ? | 2gain |
in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 200 girls , the total number of students in the college is | 5other |
a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2 . 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more . at the end of the two removal and replacement , what is the ratio q of milk and water in the resultant mixture ? | 0general |
a boatman can row 96 km downstream in 8 hr . if the speed of the current is 4 km / hr , then find in what time will be able to cover 8 km upstream ? | 1physics |
the average age of 16 persons in a office is 15 years . out of these , the average age of 5 of them is 14 years and that of the other 9 persons is 16 years . the age of the 15 th person is ? | 0general |
a driver goes on a trip of 50 kilometers , the first 25 kilometers at 60 kilometers per hour and the remaining distance at 30 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ? | 1physics |
if 2 ^ ( 2 w ) = 8 ^ ( w − 2 ) , what is the value of w ? | 0general |
895.7 – 573.07 – 95.007 = ? | 0general |
a train ride from two p to town q costs $ 6.85 more than does a bus ride from town p to town q . together , the cost of one train ride and one bus ride is $ 9.65 . what is the cost of a bus ride from town p to town q ? | 0general |
how much 60 % of 50 is greater than 42 % of 30 ? | 2gain |
matt gets a $ 1,000 commission on a big sale . this commission alone raises his average commission by $ 150 . if matt ' s new average commission is $ 250 , how many sales has matt made ? | 0general |
what is the smallest positive integer x for which x 3 + 5 xx 3 + 5 x has a value more than 80 ? | 0general |
two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.75 km and 1.25 km respectively . the time taken by the slower train to cross the faster train in seconds is ? | 1physics |
uncle bruce is baking chocolate chip cookies . he has 36 ounces of dough ( with no chocolate ) and 13 ounces of chocolate . how many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate ? | 2gain |
a cylinder is inserted in a sphere d / h = 2 / 3 . find the surface area of the cylinder ? | 3geometry |
how many 4 x 5 x 8 cubes could fit in a 10 x 16 x 84 box ? | 3geometry |
the measurements obtained for the interior dimensions of a rectangular box are 150 cm by 150 cm by 225 cm . if each of the three measurements has an error of at most 1 centimeter , which of the following is the closes maximum possible difference , in cubic centimeters , between the actual capacity of the box and the ca... | 1physics |
what will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of the rectangle as base and a vertex on the opposite side of the rectangle ? | 3geometry |
if one positive integer is greater than another positive integer by 4 , and the difference of their cubes is 316 , what is their sum ? | 0general |
the average age of an adult class is 40 years . 10 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 king has 1000 bottles of wine , a queen wants to kill the king and sends a servant to poison the wine . fortunately the king ' s guard ' s catch d servant after he has only poisoned one bottle and the guard do n ' t know which bottle is poisoned . furthermore it takes one month to have an effect , and there is an ann... | 5other |
30 square stone slabs of equal size were needed to cover a floor area of 120 sq . m . find the length of each stone slab ? | 3geometry |
if x and y are positive integers and 18 x = 12 y what is the least possible value of xy ? | 0general |
the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.90 per metre . | 3geometry |
two containers of milk contain mixtures of water and milk in ratio 5 : 4 and 7 : 9 . in what ratio they should be mixed so that mixture is of 6 : 6 ratio ? | 5other |
3 , 5 , 7 , 11 , 13 , 17 , 19 , ____ | 0general |
earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 360 envelopes | 1physics |
if x / 4 years ago roger was 14 years old and x / 4 years from now he will be 4 x years old , how old will he be 4 x years from now ? | 0general |
the present population of a town is 220 . population increase rate is 10 % p . a . find the population of town after 1 years ? | 2gain |
if a = 105 and a ^ 3 = 21 × 25 × 45 × b , what is the value of b ? | 0general |
if 1 / 2 of the air in a tank is removed with each stroke of a vacuum pump , what fraction of the original amount of air has been removed after 2 strokes ? | 1physics |
a man purchased 3 blankets @ rs . 100 each , 6 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? | 0general |
the true discount on a bill due 9 months hence at 16 % per annum is rs . 270 . the amount of the bill is | 2gain |
for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 25 people , 8 of whom are females , by how much does the index for the females exceed the index for the males in the gr... | 0general |
at the end of year x , automobile installment credit accounted for 36 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 57 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at ... | 0general |
the perimeter of a semi circle is 122 cm then the radius is ? | 1physics |
what is the units digit of ( 493 ) ( 915 ) ( 381 ) ( 756 ) ( 28 ) | 0general |
if the average ( arithmetic mean ) of a and b is 150 , and the average of b and c is 90 , what is the value of a − c ? | 0general |
a number is said to be prime saturated if the product of all the different positive prime factors of e is less than the square root of e . what is the greatest two digit prime saturated integer ? | 5other |
claire has a total of 92 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ? | 0general |
a car ferry can hold up to 60 tons of cargo . what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 5 tons ? | 0general |
if a man walks at the rate of 4 kmph , he misses a train by only 6 min . however , if he walks at the rate of 5 kmph he reaches the station 6 minutes before the arrival of the train . the distance covered by him to reach the station is | 1physics |
what is the sum of all even integers between 99 and 301 ? | 0general |
a person was asked to state his age in years . his reply was , ` ` take my age 4 years hence , multiply it by 4 and subtract 4 times my age 4 years ago and you will know how old i am . ' ' what was the age of the person ? | 0general |
the average ( arithmetic mean ) of the even integers from 24 to 48 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 12 to 24 inclusive ? | 0general |
2 friends a and b running up hill and then to get down length of road - 440 yads a on his return journey met b going up at 20 yards from top if a has finished race 5 minute earlier than b then how much time a had taken to complete the race ? | 0general |
a train speeds past a pole in 25 seconds and a platform 500 m long in 35 seconds . its length is : | 1physics |
the average age of 40 students in a class is 15 years . if the age of teacher is also included , the average becomes 16 years , find the age of the teacher . | 0general |
14 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ? | 5other |
the average of non - zero number and its square is 5 times the number . the number is : | 0general |
evaluate : 50 - 12 ÷ 4 × 2 = | 0general |
if 40 % of 3 / 5 of a number is 36 , then the number is ? | 2gain |
the sum and the product of two numbers are 24 and 23 respectively , the difference of the number is ? | 0general |
at a certain company , each employee has a salary grade s that is at least 1 and at most 7 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 1 ) . an employee with a salary grade of 7 receives how many more dollars per hour than an employee with a salary grade of 1... | 0general |
machine a can process 6000 envelopes in 3 hours . machines b and c working together but independently can process the same number of envelopes in 2.5 hours . if machines a and c working together but independently process 3000 envelopes in 1 hour , then how many hours would it take machine b to process 2800 envelopes . | 1physics |
if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units d digit of ( a + 2 ) ^ 2 ? | 0general |
ron has had 3 pay cuts in her salary in the past 6 months . if the first pay cut was 5 % , the second pay cut was 10 % and the third was 15 % . what will be the percentage decrease , if the salary is decreased in a single shot ? | 2gain |
when positive integer n is divided by 5 , the remainder is 1 . when n is divided by 7 , the remainder is 3 . what is the smallest positive integer k such that k + n is a multiple of 50 . | 0general |
two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 222 marks in the second test and failed by 39 marks in that test . find the pass mark in the first test ? | 2gain |
if the sum of the first n positive integers is s , what is the sum of the first n positive integers divisible by 3 , in terms of s ? | 0general |
two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.10 km and 1.4 km respectively . the time taken by the slower train to cross the faster train in seconds is ? | 1physics |
if x # y is defined to equal x ^ 2 / y for all x and y , then ( - 1 # 2 ) # 2 = | 0general |
a can do a piece of work in 4 days . b can do it in 6 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ? | 1physics |
how many seconds will a 800 metre long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ? | 1physics |
the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 850 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ? | 5other |
at veridux corporation , there are 210 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 135 male associates , how many female managers are there ? | 0general |
7 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ? | 0general |
what is value of x if 32 - y = 16 x - y ? | 0general |
find the cost of fencing around a circular field of diameter 18 m at the rate of rs . 2.50 a meter ? | 1physics |
what is the least value of x . so that 23 x 58 is divisible by 3 . | 0general |
a train passes a station platform in 36 sec and a man standing on the platform in 22 sec . if the speed of the train is 54 km / hr . what is the length of the platform ? | 1physics |
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 8.55 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discount rates is ... | 2gain |
the average age of a , b and c is 29 years . if the average age of a and c is 32 years , what is the age of b in years ? | 0general |
the number of sailors on a ship is 88 % more than the number of officers . the ratio of sailors to officers would be | 5other |
if each side of a square is increased by 6 % , find the percentage change in its area ? | 2gain |
the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 300 m , its area is ? | 3geometry |
a coin is tossed 7 times . what is the probability of getting exactly 6 heads ? | 4probability |
approximately how many cubic feet of water are needed to fill a circular swimming pool that is 60 feet across and 6 feet deep ? | 3geometry |
how many integer values r are there for x such that 1 < 3 x + 5 < 17 ? | 0general |
find the missing value : 8597 - ? = 7429 - 4358 | 0general |
if m and n are positive integers and n ≠ 1 , then mn ( n − 1 ) is | 1physics |
two numbers are in the ratio of 5 : 7 . if 20 is subtracted from each number , they are in the ratio of 5 : 9 . what are the two numbers ? | 5other |
a train 500 m long can cross an electric pole in 10 sec and then find the speed of the train ? | 1physics |
a retailer sold 2 houses at each $ 15000 . on 1 st house he got 20 % profit and on 2 nd house he loss 5 % then find his net profit or loss ? | 2gain |
ages of two persons differ by 16 years . if 6 year ago , the elder one be 3 times as old the younger one , find their present age | 0general |
the sum of two consecutive numbers is 452 . the greatest among these three number is : | 1physics |
a car travels uphill at 30 km / hr and downhill at 90 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ? | 0general |
six 6 faced dice are thrown together . the probability that all the three show the same number on them is ? | 4probability |
a present value of a machine is $ 700 . its value depletion rate is 10 % per annum then find the machine value after 2 years ? | 2gain |
if xy denotes x is raised to the power y , find the last two digits of 19413843 + 19614181 | 0general |
two trains 200 m and 180 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively . in how much time will they cross each other , if they are running in the same direction ? | 1physics |
at deluxe paint store , fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint . mauve paint is made by mixing 3 parts of red paint with 5 parts blue paint . how many liters of blue paint must be added to 24 liters of fuchsia to change it to mauve paint ? | 0general |
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