Problem
stringlengths
5
967
category
class label
6 classes
a woman invested $ 1,000 , part at 5 % and the rest at 6 % . her total investment with interest at the end of the year was $ 1,054 . how much did she invest at 5 % ?
2gain
what is the rate percent when the simple interest on rs . 800 amount to rs . 192 in 4 years ?
2gain
the average of 10 numbers is calculated as 16 . it is discovered later on that while calculating the average , the number 45 was incorrectly read as 25 , and this incorrect number was used in the calculation . what is the correct average ?
0general
what percent of 15 is 15 percent of 1 ?
2gain
two trains a and b starting from two points and travelling in opposite directions , reach their destinations 9 hours and 4 hours respectively after meeting each other . if the train a travels at 70 kmph , find the rate at which the train b runs .
1physics
7528 : 5306 : : 4673 : ?
0general
in a urban village of india named ` ` owlna ' ' , 70 % people have refrigerator , 75 % people have television , 90 % people got computers and 85 % got air - conditionor . how many people ( minimum ) got all these luxury .
0general
a merchant has selected two items to be placed on sale , one of which currently sells for 20 percent less than the other . if he wishes to raise the price of the cheaper item so that the two items are equally priced , by what percentage must he raise the price of the less expensive item ?
0general
what is the ratio between perimeters of two squares one having 5 times the diagonal then the other ?
3geometry
find the area of a parallelogram with base 48 cm and height 36 cm ?
3geometry
a and b complete a work in 3 days . a alone can do it in 9 days . if both together can do the work in how many days ?
1physics
a question paper has 2 parts , a & b , each containing 10 questions . if a student has to choose 8 from part a & 5 from part b , in how many ways can he choose the questions ?
4probability
what must be added to each term of the ratio 4 : 15 , so that it may become equal to 3 : 4 ?
0general
what is the greatest prime factor of ( 11 ! Γ— 10 !   + 10 ! Γ— 9 ! ) / 111 ?
0general
a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 1000 more than d , what is b ' s share ?
0general
there are 11 teams in a soccer league and each team plays each of the other teams once . how many games will be played in total ?
0general
the average of 10 numbers was calculated as 17 . it is discovered later on that while calculating the average , one number , namely 56 , was incorrectly read as 26 . what is the correct average ?
0general
the average of 6 observations is 15 . a new observation is included and the new average is decreased by 1 . the seventh observation is ?
0general
a bag holds 4 red marbles and 4 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ?
5other
a motorcyclist goes from bombay to pune , a distance of 288 kms at an average of 32 kmph speed . another man starts from bombay by car 2 Β½ hours after the first , and reaches pune Β½ hour earlier . what is the ratio of the speed of the motorcycle and the car ?
1physics
what is the area of square field whose side of length 5 m ?
3geometry
if 25 % of x is 30 less than 15 % of 1500 , then x is ?
0general
by selling an article at rs . 1000 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?
2gain
if the population of a certain country increases at the rate of one person every 20 seconds , by how many persons does the population increase in 1 hour ?
1physics
working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 12 , 40 , and 50 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ?
0general
jane and thomas are among the 9 people from which a committee of 4 people is to be selected . how many different possible committees of 4 people can be selected from these 9 people if at least one of either jane or thomas is to be selected ?
4probability
albert is 2 times mary ’ s age and 4 times as old as betty . mary is 22 years younger than albert . how old is betty ?
0general
a train speeds past a pole in 10 seconds and a platform 150 m long in 25 seconds . its length is :
1physics
the perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle
3geometry
two brother x and y appeared for an exam . the probability of selection of x is 1 / 5 and that of b is 2 / 3 . find the probability that both of them are selected .
0general
what is the smallest number which when increased by 7 is divisible by 25 , 49 , 15 , and 21 ?
0general
at the opening of a trading day at a certain stock exchange , the price per share of stock k was $ 10 . if the price per share of stock k was $ 15 at the closing of the day , what was the percent increase in the price per share of stock k for that day ?
0general
find the least number which when divided by 5 , 6,7 , and 8 leaves a remainder 3 , but when divided by 9 leaves no remainder .
0general
a can give b 100 meters start and c 150 meters start in a kilometer race . how much start can b give c in a kilometer race ?
1physics
if 213 Γ— 16 = 3408 , then 1.6 Γ— 2.13 is equal to :
0general
in how many no . between 100 and 1000 exactly one of the digits is 3 ?
0general
the owner of a furniture shop charges his customer 25 % more than the cost price . if a customer paid rs . 8340 for a computer table , then what was the cost price of the computer table ?
2gain
everyone shakes hands with everyone else in a room . total number of handshakes is 78 . number of persons = ?
0general
if n is a positive integer and n ^ 2 is divisible by 134 , then the largest positive integer that must divide n is
0general
in a group of 400 players some are outdoor players , some are indoor players and some plays both . 350 plays outdoors and 110 plays indoor . how many plays indoor as well as outdoor games .
5other
if 50 % of x equals the sum of y and 20 , then what is the value of x – 2 y ?
0general
weights of two friends ram and shyam are in the ratio of 4 : 5 . ram ’ s weight increases by 10 % and the total weight of ram and shyam together becomes 82.8 kg , with an increase of 15 % . by what per cent did the weight of shyam increase ?
0general
1397 x 1397
0general
if n divided by 9 has a remainder of 8 , what is the remainder when 2 times n is divided by 9 ?
0general
barbata invests $ 2400 in the national bank at 4 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ?
0general
what is the value of ( 4 ) ^ - 5 ?
0general
if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 12 - m ) then m = ?
0general
p and q are the only two applicants qualified for a short - term research project that pays 540 dollars in total . candidate p has more experience and , if hired , would be paid 50 percent more per hour than candidate q would be paid . candidate q , if hired , would require 10 hours more than candidate p to do the job . candidate p ’ s hourly wage is how many dollars greater than candidate q ’ s hourly wage ?
0general
the average of the marks of 12 students in a class is 50 . if the marks of each student are doubled , find the new average ?
0general
if 75 percent of a class answered the first question on a certain test correctly , 25 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ?
5other
pipe a can fill a tank in 6 hours . due to a leak at the bottom , it takes 8 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?
1physics
if the sum of two numbers is 55 and the h . c . f . and l . c . m . of these numbers are 5 and 120 respectively , then the sum of the reciprocals of the numbers is equal to :
0general
in a factory , there are 60 % technicians and 100 % non - technicians . if the 60 % of the technicians and 100 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?
2gain
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 . 8200 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ?
0general
the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 12 years and that of the other 9 students is 16 years . the age of the 15 th student is ?
0general
the width of a rectangular hall is Β½ of its length . if the area of the hall is 800 sq . m , what is the difference between its length and breadth ?
3geometry
what decimal fraction is 20 ml of a litre ?
1physics
if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 210 , what is the least possible value of n ?
0general
a man covers a distance on scooter . had he moved 3 kmph faster he would have taken 40 min less . if he had moved 2 kmph slower , he would have taken 40 min more . the distance is .
1physics
p is 50 % more efficient than q . p can complete a work in 25 days . if p and q work together , how many days will it take to complete the same work ?
1physics
a can do a piece of work in 4 hours . a and c together can do it in just 2 hours , while b and c together need 3 hours to finish the same work . b alone can complete the work in - - - hours .
1physics
beginning in town a , biker bob rides his bike 12 miles west , 6 miles north , 4 miles east , and then 12 miles north , to town b . how far apart are town a and town b ? ( ignore the curvature of the earth . )
1physics
the average ( arithmetic mean ) of 16 students first quiz scores in a difficult english class is 60.5 . when one student dropped the class , the average of the remaining scores increased to 64.0 . what is the quiz score of the student who dropped the class ?
0general
median w of price of the car is 52000 . which could be the median of the other two . 35000 , 44000 , x , y , 57000 .
0general
each man in a gang of 100 investors has investments ineither equities or securities or both . exactly 2525 of the investors in equities haveinvestments in securities , exactly 4040 of the investorsin securities have investments inequities . how many have investmentsin equities ?
5other
a certain country had a total annual expenditure of $ 9.6 x 10 ^ 11 last year . if the population of the country was 240 million last year , what was the per capita expenditure ?
0general
in the manufacture of a certain product , 6 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?
2gain
the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1.10 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?
1physics
the distance between 2 cities a and b is 1000 km . a train starts from a at 8 a . m . and travels towards b at 100 km / hr . another starts from b at 9 a . m . and travels towards a at 150 km / hr . at what time do they meet ?
1physics
445 , 221 , 109 , 53 , . . .
0general
car a runs at the speed of 65 km / hr & reaches its destination in 8 hr . car b runs at the speed of 70 km / h & reaches its destination in 5 h . what is the respective ratio of distances covered by car a & car b ?
1physics
find the least number must be subtracted from 568219 so that remaining no . is divisible by 5 ?
0general
if the cost price of 40 articles is equal to the selling price of 25 articles , what is the % profit or loss made by the merchant ?
2gain
the numbers 272738 and 232342 , when divided by n , a two digit number , leave a remainder of 13 and 17 respectively . find the sum of the digits of n ?
0general
the area of an isosceles trapezoid with sides of length 5 and bases of length 11 and 17 is ?
3geometry
find the area of a parallelogram with base 36 cm and height 18 cm ?
3geometry
if the number is divided by 3 , it reduced by 42 . the number is
0general
when y is divided by 288 , the remainder is 45 . what is the remainder when the same y is divided by 24 ?
0general
what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 6 ?
0general
how many bricks , each measuring 50 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8 m x 6 m x 22.5 cm ?
1physics
if teena is driving at 55 miles per hour and is currently 7.5 miles behind yoe , who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 15 miles ahead of yoe ?
1physics
at a certain zoo , the ratio of lions to penguins is 3 to 11 . if there are 82 more penguins than lions at the zoo , how many lions are there ?
5other
a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late . had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late . what is the speed q of the train .
1physics
if 15 % of 30 % of 50 % of a number is 117 , then what is the number ?
2gain
machine a produces 100 parts twice as fast as machine b does . machine b produces 100 parts in 20 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 8 minutes ?
2gain
during a special promotion , a certain filling station is offering a 10 percent discount on gas purchased after the first 10 gallons . if kim purchased 20 gallons of gas , and isabella purchased 25 gallons of gas , then isabella β€Ÿ s total per - gallon discount is what percent of kim β€Ÿ s total per - gallon discount ?
2gain
cereal a is 10 % sugar by weight , whereas healthier but less delicious cereal b is 4 % sugar by weight . to make a delicious and healthy mixture that is 6 % sugar , what should be the ratio of cereal a to cereal b , by weight ?
0general
how many numbers between 190 and 580 are divisible by 45 and 6 ?
0general
if the cost price of 50 articles is equal to the selling price of 28 articles , then the gain or loss percent is ?
2gain
a block of wood has dimensions 10 cm x 10 cm x 100 cm . the block is painted red and then cut evenly at the 50 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ?
3geometry
the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . find the length of the rectangle .
3geometry
out of 420 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ?
5other
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 5 : 24 . in the company , what is the maximum number of non - managers in a department that has 8 managers :
0general
the average runs scored by a batsman in 15 matches is 30 . in the next 20 matches the batsman scored an average of 15 runs . find his average in all the 30 matches ?
0general
a goes to place x and b goes to place y . after a travelled 180 km more than b they together meet at a point between xy . they together had their lunch for half an hour . after that a took 2 hrs to reach x and b took 4.5 hrs to reach y . find distance between x and y ?
1physics
a train 140 m long is running at 60 kmph . in how much time will it pass a platform 260 m long ?
1physics
with both valves open , the pool will be filled with water in 48 minutes . the first valve alone would fill the pool in 2 hours . if the second valve emits 50 cubic meters of water more than the first every minute , then what is the capacity r of the pool ?
1physics
if the ratio of a to b is 2 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ?
5other
a factory that employs 1000 assembly line workers pays each of these workers $ 5 per hour for the first 40 hours worked during a week and 1 Β½ times that rate for hours worked in excess of 40 . what was the total payroll for the assembly - line workers for a week in which 30 percent of them worked 25 hours , 50 percent worked 40 hours , and the rest worked 50 hours ?
0general
a 290 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds . what is the lenght of other train .
1physics