Problem stringlengths 5 967 | category class label 6
classes |
|---|---|
find out the c . i on rs . 6000 at 4 % p . a . compound half - yearly for 1 1 / 2 years | 0general |
a card is drawn from a pack of 52 cards . the probability of getting a queen club or a king of heart ? | 4probability |
a , b and c run around a circular track starting from the same point simultaneously and in the same direction at speeds of 4 kmph , 6 kmph and 8 kmph respectively . if the length of the track is 400 meters , when will a , b and c meet at the starting point for the first time after they started the race ? | 1physics |
if 15 workers can build a wall in 48 hours , how many workers will be required to do the same work in 30 hours ? | 1physics |
the least number of 4 digits which is divisible by 15 , 25 , 40 and 75 is : | 0general |
find the probability that a leap year chosen at random will have 53 sundays | 4probability |
three pipes a , b and c can fill a tank from empty to full in 20 minutes , 20 minutes and 30 minutes respectively . when the tank is empty , all the three pipes are opened . a , b and c discharge chemical solutions p , q and r respectively . what is the proportion of solution r in the liquid in the tank after 3 minutes ? | 1physics |
a man ' s speed with the current is 25 km / hr and the speed of the current is 2.5 km / hr . the man ' s speed against the current is ? | 2gain |
in a fraction , if numerator is added by 2 and denominator by 1 it results 1 , and if numerator added again by 4 and denominator by 2 it results 1 / 2 . find the fraction ? | 0general |
a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 180 square feet and its length is 8 feet longer than its width . if the uniform width between the rug and room is 8 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ? | 3geometry |
7 people average age is 30 . youngest person age is 4 . find average of the people when youngest was born . | 0general |
in a group of cows and chickens , the number of legs was 10 more than twice the number of heads . the number of cows was : | 0general |
the cash difference between the selling prices of an article at a profit of 4 % and 6 % is rs . 3 . the ratio of the two selling prices is : | 2gain |
the area of a circle is increased by 300 % . by what percent has the radius of the circle increased ? | 2gain |
the total number of digits used in numbering the pages of a book having 356 pages is | 0general |
working alone at their respective constant rates , a can complete a task in ‘ a ’ days and b in ‘ b ’ days . they take turns in doing the task with each working 2 days at a time . if a starts they finish the task in exact 8 days . if b starts , they take a day more . how long does it take to complete the task if they both work together ? | 1physics |
a thief goes away with a santro car at a speed of 40 kmph . the theft has been discovered after half an hour and the owner sets off in a bike at 45 kmph when will the owner over take the thief from the start ? | 1physics |
the area of a right triangle pcm is 18 . length of smallest side cm is 3 units . find the length of the other two sides . | 3geometry |
each machine of type a has 2 steel parts and 2 chrome parts . each machine of type b has 6 steel parts and 5 chrome parts . if a certain group of type a and type b machines has a total of 20 steel parts and 22 chrome parts , how many machines are in the group | 0general |
there is a square with sides of 9 . what is the area of the biggest circle that can be cut out of this square ? | 3geometry |
a boat can travel with aspeed of 30 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 70 km downstream . | 1physics |
the average age of a group of 10 persons was decreased by 3 years when one person , whose age was 46 years , was replaced by a new person . find the age of the new person ? | 0general |
a number whose fifth part increased by 4 is equal to its fourth part diminished by 10 , is : | 0general |
if 0.60 : x : : 6 : 2 , then x is equal to | 0general |
a and b together can do a piece of work in 6 days and a alone can do it in 12 days . in how many days can b alone can do it ? | 1physics |
in a certain town , the ratio of ny yankees fans to ny mets fans is 2 : 1 , and the ratio of ny mets fans to boston red sox fans is 3 : 7 . if there are 352 baseball fans in the town , each of whom is a fan of exactly one of those three teams , how many ny mets fans are there in this town ? | 5other |
in a certain neighborhood , 60 percent of the student are going to school ( a ) , and the rest are going to school ( b ) . a new school ( c ) is opened , if 30 percent of student of school ( a ) and 40 percent of student of school ( b ) are expected to go to the new school ( c ) , what percent of student are expected to go to the new school ( c ) ? | 2gain |
two trains of equal length , running with the speeds of 60 and 100 kmph , take 50 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ? | 1physics |
find the number of elements in the power set of { 1,2 } | 0general |
64 + 5 * 12 / ( 180 / 3 ) = ? | 0general |
alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1021 . find the cost of each ice - cream cup ? | 0general |
the length of a train and that of a platform are equal . if with a speed of 54 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ? | 1physics |
jack went on a diet 6 months ago when he weighed 222 pounds . if he now weighs 198 pounds and continues to lose at the same average monthly rate , in approximately how many months will he weigh 180 pounds ? | 0general |
if 2 x = 3 y = 10 , then 3 xy = ? | 0general |
b completes a work in 7 days . a alone can do it in 10 days . if both work together , the work can be completed in how many days ? | 1physics |
excluding the stoppages , the speed of a bus is 48 km / hr and including the stoppages the speed of the bus is 24 km / hr . for how many minutes does the bus stop per hour ? | 1physics |
what is the % change in the area of a rectangle when its length increases by 20 % and its width decreases by 20 % ? | 3geometry |
5 pieces of wood have an average length of 128 cm and a median length of 140 cm . what is the maximum possible length , in cm , of the shortest piece of wood ? | 0general |
if a certain toy store ' s revenue in november was 4 / 5 of its revenue in december and its revenue in january was 3 / 4 of its revenue in november , then the store ' s revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january ? | 0general |
a car started running at a speed of 34 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour . find the total distance covered by the car in the first 10 hours of the journey . | 1physics |
two boys starts from the same place walking at the rate of 4 kmph and 5.5 kmph respectively in the same direction . what time will they take to be 10.5 km apart ? | 2gain |
mr . kramer , the losing candidate in a two - candidate election , received 942568 votes , which was exactly 30 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? | 0general |
how many pieces of 0.40 meteres can be cut from a rod 47.5 meteres long | 1physics |
y = x ^ 2 + bx + 128 cuts the x axis at ( h , 0 ) and ( k , 0 ) . if h and k are integers , what is the least value of b ? | 0general |
3 years ago , the average age of a family of 5 members was 17 . a baby having been born , the average age of the family is the same today . what is the age of the child ? | 0general |
car a runs at the speed of 33 km / hr & reaches its destination in 7 hr . car b runs at the speed of 44 km / h & reaches its destination in 5 h . what is the respective ratio of distances covered by car a & car b ? | 1physics |
a and b undertake to do a piece of work for $ 120 . a alone can do it in 4 days while b alone can do it in 6 days . with the help of c , they finish it in 2 days . find the share of b ? | 1physics |
a , b , and c were to be paid in proportion to the part of work they did while working on the same piece of work . a and b individually can finish the piece of work in 12 days and 15 days respectively . they worked together for 5 days and then c completed the remaining work all alone . if $ 810 was the net sum to be paid for the entire work , what was the average daily wage of b ? | 0general |
an aeroplane covers a certain distance at a speed of 240 kmph in 4 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of : | 1physics |
how many numbers from 29 to 79 are exactly divisible by 11 ? | 0general |
the racing magic takes 60 seconds to circle the racing track once . the charging bull makes 40 rounds of the track in an hour . if they left the starting point together , how many minutes will it take for them to meet at the starting point for the second time ? | 1physics |
how many liters of water must be evaporated from 50 liters of a 2 - percent sugar solution to get a 10 - percent solution ? | 2gain |
what is the probability of always having x + y > 0 , where y < 0 | 0general |
the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area w of that hemisphere ? | 3geometry |
factory x ' s bulbs work for over 5000 hours in 37 % of cases , whereas factory y ' s bulbs work for over 5000 hours in 75 % of cases . it is known that factory x supplies 40 % of the total bulbs available . what is the chance that a purchased bulb will work for longer than 5000 hours ? | 1physics |
a certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint . if 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans , what is the least amount of paint e , in gallons , that must be purchased in order to measure out the portions needed for the mixture ? | 0general |
a and b complete a work in 4 days . a alone can do it in 8 days . if both together can do the work in how many days ? | 1physics |
roja and pooja start moving in the opposite directions from a pole . they are moving at the speeds of 8 km / hr and 3 km / hr respectively . after 4 hours what will be the distance between them ? | 1physics |
in a company with 48 employees , some part - time and some full - time , exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work . what is the greatest possible number q of employees who take the subway to work ? | 0general |
how many multiples of 8 are there between 100 and 200 ( both are inclusive ) ? | 5other |
the salary of a typist was at first raised by 10 % and then the same was reduced by 5 % . if he presently draws rs . 1045 . what was his original salary ? | 2gain |
how many pounds of salt at 50 cents / lb must be mixed with 45 lbs of salt that costs 35 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb ? | 2gain |
if the sum of a number and its square is 132 , then what is the number ? | 3geometry |
0.363 * 0.522 + 0.363 * 0.478 = ? | 0general |
lilly has 10 fish and rosy has 8 fish . in total , how many fish do they have in all ? | 0general |
a certain clock marks every hour by striking a number of times equal to the hour , and the time required for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stroke and the end of the last stroke is 55 seconds . at 12 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ? | 0general |
two numbers n and 10 have lcm = 36 and gcf = 5 . find n . | 1physics |
the difference between c . i . and s . i . on an amount of rs . 15,000 for 2 years is rs . 216 . what is the rate of interest per annum ? | 2gain |
employees of a certain company are each to receive a unique 7 - digit identification code consisting of the digits 0 , 1 , 2 , 3 , 4 , 5 , and 6 such that no digit is used more than once in any given code . in valid codes , the second digit in the code is exactly twice the first digit . how many valid codes are there ? | 0general |
it is the new year and mandy has made a resolution to lose weight this year . she plans to exercise and do yoga . for exercise she plans to workout at the gym and ride her bicycle in the ratio of 2 : 3 everyday . she will also do yoga in the ratio , yoga : exercise = 2 : 3 . if she rides her bike for 20 minutes , how much time will she spend doing yoga ? ( rounded to minutes ) | 1physics |
two whales are moving in the same direction at 18 mps and 15 mps . the faster whale crosses the slow whale in 15 seconds . what is the length of the slower whale in meters ? | 1physics |
a circular path of 16 m radius has marginal walk 3 m wide all round it . find the cost of leveling the walk at rs . 2 per m 2 ? | 1physics |
speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph . a man rows to a place at a distance of 4864 km and comes back to the starting point . the total time taken by him is | 1physics |
the avearge score of a cricketer for 10 matches is 38.9 runs . if the average for the first 6 matches is 41 . then find the average for the last 4 matches ? | 0general |
noelle walks from point a to point b at an average speed of 6 kilometers per hour . at what speed , in kilometers per hour , must noelle walk from point b to point a so that her average speed for the entire trip is 7 kilometers per hour ? | 1physics |
6 x 0.6 x 0.06 x 0.006 x 60 = ? | 0general |
0.009 / x = 0.02 . find the value of x | 0general |
if two projectiles are launched at the same moment from 2520 km apart and travel directly towards each other at 432 km per hour and 576 km per hour respectively , how many minutes will it take for them to meet ? | 1physics |
what is the smallest number by which 3600 be divided to make it a perfect cube ? | 3geometry |
radius of a circle is 5 cm , if we draw a rectangle of maximum size , what is the area of rectangle ? | 3geometry |
each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 47 hours . if harry and james were paid the same amount last week , how many hours did harry work last week ? | 0general |
the greatest number that divides 60 and 190 leaving remainder 6 and 10 respectively is : | 0general |
5 bells begin to toll together at 12 : 00 noon and toll respectively at intervals of 3 , 4 , 5 , 6 , and 7 seconds . not including the toll at 12 : 00 noon , how many more times will all 5 bells toll together before 1 : 00 pm ( i . e . one hour later ) ? | 1physics |
9 students bought burgers for $ 143 dollars . if the bill has to be divided among these students , how much amount should be added to the amound to make it divided amoung them equally in dollars ( in whole number of dollars ) | 0general |
amit and ananthu can do a work in 15 days and 25 days respectively . amit started the work and left after 3 days . ananthu took over and completed the work . in how many days was the total work completed ? | 1physics |
b alone can do piece of work in 10 days . a alone can do it in 15 days . if the total wages for the work is rs 5000 , how much should b be paid if they work together for the entire duration of the work ? | 0general |
a , b and c , each working alone can complete a job in 6 , 8 and 12 days respectively . if all three of them work together to complete a job and earn $ 1170 , what will be c ' s share of the earnings ? | 1physics |
express a speed of 180 kmph in meters per second ? | 1physics |
sum of two numbers is 25 . two times of the first exceeds by 5 from the three times of the other . then the numbers will be ? | 0general |
rs . 1300 is divided so that 4 times the first share , thrice the 2 nd share and twice the third share amount to the same . what is the value of the third share ? | 0general |
joe went on a diet 4 months ago when he weighed 212 pounds . if he now weighs 188 pounds and continues to lose at the same average monthly rate , in approximately how many months will he weigh 160 pounds ? | 0general |
each day a man meets his wife at the train station after work , and then she drives him home . she always arrives exactly on time to pick him up . one day he catches an earlier train and arrives at the station an hour early . he immediately begins walking home along the same route the wife drives . eventually his wife sees him on her way to the station and drives him the rest of the way home . when they arrive home the man notices that they arrived 12 minutes earlier than usual . how much time did the man spend walking ? | 1physics |
how many numbers from 29 to 79 are exactly divisible by 11 | 0general |
calculate the time it will take for a train that is 200 meter long to pass a bridge of 180 meter length , if the speed of the train is 65 km / hour ? | 1physics |
if z is a multiple of 8902 , what is the remainder when z ^ 2 is divided by 4 ? | 0general |
a person travels from p to q a speed of 50 km / hr and returns by increasing his speed by 50 % . what is his average speed for both the trips ? | 0general |
the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2 . if at the end of the year , each saves rs . 1600 , then what is the income of p 1 ? | 5other |
what is the area of a square field whose diagonal of length 40 m ? | 3geometry |
find the area of a rhombus one side of which measures 20 cm and one diagonal is 28 cm . | 3geometry |
find the greatest number which is such that when 794 , 858 and 1351 are divided by it , the remainders are all same . | 0general |
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