rootacess/math-qa-classification · Datasets at Hugging Face

Problem stringlengths 5 967	category class label 6 classes
harold and millicent are getting married and need to combine their already - full libraries . if harold , who has 1 / 2 as many books as millicent , brings 1 / 3 of his books to their new home , then millicent will have enough room to bring 1 / 2 of her books to their new home . what fraction of millicent ' s old library capacity is the new home ' s library capacity	0general
on dividing a number by 8 , we get 8 as quotient and 0 as remainder . on dividing the same number by 5 , what will be the remainder ?	0general
what are the last two digits of ( 301 * 402 * 503 * 604 * 646 * 547 * 448 * 348 ) ^ 2	0general
the number of sailors on a ship is 82 % more than the number of officers . the ratio of sailors to officers would be	5other
let f ( x , y ) be defined as the remainder when ( x – y ) ! is divided by x . if x = 50 , what is the maximum value of y for which f ( x , y ) = 0 ?	0general
what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 9 ?	0general
the speed of a railway engine is 84 km per hour when no compartment is attached , and the reduction in speed is directly proportional to the square root of the number of compartments attached . if the speed of the train carried by this engine is 24 km per hour when 9 compartments are attached , the maximum number of compartments that can be carried by the engine is :	1physics
a train covers a distance of 90 km in 20 min . if it takes 9 sec to pass a telegraph post , then the length of the train is ?	1physics
3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 3 men and 2 women will do that task .	1physics
a third of arun â € ™ s marks in mathematics exceed a half of his marks in english by 20 . if he got 360 marks in two subjects together how many marks did he got in english ?	0general
in an ngo the daily average wages of 20 illiterate employees is decreased from rs . 25 to rs . 10 , thus the average salary of all the literate and illiterate employees is decreased rs . 10 per day . the no . of educated employees working in the ngo is ?	0general
in the fifth grade at parkway elementary school there are 500 students . 350 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?	2gain
for what value of x between − 8 and 8 , inclusive , is the value of x ^ 2 − 10 x + 16 the greatest ?	0general
what positive number , when squared , is equal to the cube of the positive square root of 16 ?	3geometry
the difference of two numbers is 1515 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder . what is the smaller number ?	0general
mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 115 mangoes .	2gain
if a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20 , what is the probability r that this product will be a multiple of 45 ?	0general
a and b can do a work in 4 days , b and c in 5 days , c and a in 7 days . if a , b and c work together , they will complete the work in ?	1physics
there are 9 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair . what is the number of pair that can be formed .	4probability
how many cubes of 3 cm edge can be cut out of a cube of 18 cm edge	4probability
600 x 223 + 600 x 77 = ?	0general
a volume of 10976 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ?	3geometry
at the end of the day , february 14 th , a florist had 150 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 20 of which were white and 15 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ?	0general
a discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price . if , during a special sale , an additional 20 percent were to be deducted from the discount price , what would be the lowest possible price of an item costing $ 260 before any discount ?	2gain
what is the lowest positive integer that is divisible by each of the integers 1 through 11 inclusive ?	0general
carl bought 16 gumballs , lewis bought 12 gumballs , and carey bought x gumballs . the average ( arithmetic mean ) number of gumballs the 3 bought is between 19 and 25 , inclusive . what is the difference between the greatest number and the smallest number of gumballs carey could have bought ?	0general
x can do a piece of work in 40 days . he works at it for 8 days and then y finished it in 28 days . how long will y take to complete the work ?	1physics
find the principle on a certain sum of money at 7 % per annum for 2 2 / 5 years if the amount being rs . 1120 ?	0general
find the simple interest on rs . 69,600 at 16 2 / 3 % per annum for 9 months .	2gain
the lcm and hcf of two numbers are 60 and 2 respectively . find the larger of the two numbers if their sum is 22 .	1physics
excluding stoppages , the speed of a bus is 54 kmph and including stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ?	1physics
the number of stamps that p and q had were in the ratio of 7 : 2 respectively . after p gave q 15 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 2 : 1 . as a result of the gift , p had how many more stamps than q ?	5other
if a , b and c together can finish a piece of work in 6 days . a alone in 12 days and b in 18 days , then c alone can do it in ?	1physics
how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 33 % iodine solution ?	2gain
the average of 10 numbers is 23 . if each number is increased by 6 , what will the new average be ?	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 16 minutes earlier than usual . how much time did the man spend walking ?	1physics
on a map , 1.5 inches represent 24 miles . how many miles approximately is the distance if you measured 49 centimeters assuming that 1 - inch is 2.54 centimeters ?	1physics
if three painters can complete three rooms in three hours , how many painters would it take to do 27 rooms in 9 hours ?	1physics
how much is 80 % of 40 is greater than 2 / 5 of 25 ?	0general
5000 - 4500 ÷ 10.00 = ?	0general
the average age of applicants for a new job is 30 , with a standard deviation of 7 . 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
a worker can load one truck in 5 hours . a second worker can load the same truck in 4 hours . if both workers load one truck simultaneously while maintaining their constant rates , approximately how long , in hours , will it take them to fill one truck ?	1physics
find the largest 4 digit number which isexactly divisible by 88 ?	0general
how many of the positive divisors of 600 are also multiples of 4 not including 600 ?	0general
little john had $ 8.50 . he spent $ 1.25 on sweets and gave to his two friends $ 1.20 each . how much money was left ?	0general
the ratio of buses to cars on river road is 1 to 17 . if there are 80 fewer buses than cars on river road , how many cars are on river road ?	5other
a car averages 55 mph for the first 4 hours of a trip and averages 70 mph for each additional hour . the average speed for the entire trip was 60 mph . how many hours long is the trip ?	0general
arnold and danny are two twin brothers that are celebrating their birthday . the product of their ages today is smaller by 11 from the product of their ages a year from today . what is their age today ?	0general
one men and three women working 7 hours a day finish a work in 5 days . four men and four women working 3 hours a day complete the work in 7 days . the number of days in which only 7 men working 4 hours a day will finish the work is ?	1physics
fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 40 kg of fresh grapes ?	2gain
a man engaged a servant on the condition that he would pay him rs . 500 and a uniform after one year service . he served only for 9 months and received uniform and rs . 250 , find the price of the uniform ?	0general
shannon and maxine work in the same building and leave work at the same time . shannon lives due north of work and maxine lives due south . the distance between maxine ' s house and shannon ' s house is 60 miles . if they both drive home at the rate 2 r miles per hour , maxine arrives home 40 minutes after shannon . if maxine rider her bike home at the rate of r per hour and shannon still drives at a rate of 2 r miles per hour , shannon arrives home 2 hours before maxine . how far does maxine live from work ?	1physics
a and b undertake to do a piece of work for rs . 1200 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . find the share of c .	1physics
a big container is 30 % full with water . if 27 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container ?	0general
in a group of cows and hens , the number of legs are 14 more than twice the number of heads . the number of cows is	0general
a computer store offers employees a 15 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 500 dollars and marked up the price 15 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 15 % off retail price ) as opposed to the final retail price .	2gain
find the area of trapezium whose parallel sides are 30 cm and 12 cm long , and the distance between them is 16 cm ?	1physics
working together , printer a and printer b would finish the task in 24 minutes . printer a alone would finish the task in 60 minutes . how many pages does the task contain if printer b prints 3 pages a minute more than printer a ?	1physics
a sum of money is put out at compound interest for 2 years at 20 % . it would fetch rs . 964 more if the interest were payable half - yearly , then it were pay able yearly . find the sum .	0general
a box contains 9 slips that are each labeled with one number : 1 , 3 , 5 , 8 , 13 , 21 , 34 and 55 . two of the slips are drawn at random from the box without replacement . what is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box ?	0general
the operation is defined for all integers a and b by the equation ab = ( a - 1 ) ( b - 1 ) . if x 9 = 160 , what is the value of x ?	0general
what percent is 3 gm of 1 kg ?	2gain
john began driving from home on a trip averaging 30 miles per hour . how many miles per hour must carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after john ?	1physics
two brother x and y appeared for an exam . let a be the event that x is selected and b is the event that y is selected . the probability of a is 17 and that of b is 29 . find the probability that both of them are selected .	5other
sandy is younger than molly by 12 years . if the ratio of their ages is 7 : 9 , how old is sandy ?	5other
the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 302 to 400 inclusive ?	0general
walking at the rate of 8 kmph a man cover certain distance in 3 hrs . . running at a speed of 16 kmph the man will cover the same distance in .	1physics
a man can row 3.3 km / hr in still water . it takes him twice as long to row upstream as to row downstream . what is the rate of the current ?	0general
two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line . for instance , 3 and 7 rhyme around 5 . what integer q between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ?	1physics
if three numbers in the ratio 3 : 2 : 5 be such that the sum of their squares is 1862 , the middle number will be	5other
factory x ' s bulbs work for over 5000 hours in 79 % of cases , whereas factory y ' s bulbs work for over 5000 hours in 85 % of cases . it is known that factory x supplies 80 % of the total bulbs available . what is the chance that a purchased bulb will work for longer than 5000 hours ?	1physics
a train 150 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?	1physics
each factor of 210 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 40 ?	5other
if the population of a certain country increases at the rate of 10 person every 60 seconds , by how many persons does the population increase in 1 hour ?	1physics
the units digit of ( 10 ) ^ ( 87 ) + ( 5 ) ^ ( 46 ) is :	0general
double of quarter of 4 percent written as a decimal is :	2gain
a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 1100 m long ?	1physics
a , b and c rents a pasture for rs . 841 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should b pay ?	0general
a one - foot stick is marked in 1 / 4 and 1 / 6 portion . how many total markings will there be , including the end points ?	0general
the curved surface area of a cylindrical pillar is 264 sq . m and its volume is 924 cub . m . find the ratio of its diameter to its height	3geometry
a can run 128 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?	1physics
jacob is now 13 years younger than michael . if 9 years from now michael will be twice as old as jacob , how old will jacob be in 4 years ?	0general
a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 86.49 , the number of the member is the group is :	0general
lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 84,000 through the lagaan from the village of mettur . mettur , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mettur over the total taxable land of the village is :	0general
in a certain lottery , the probability that a number between 12 and 20 , inclusive , is drawn is 1 / 4 . if the probability that a number 12 or larger is drawn is 2 / 3 , what is the probability that a number less than or equal to 20 is drawn ?	0general
if $ 5,000 is invested in an account at a simple annual rate of r percent , the interest is $ 250 . when $ 15,000 is invested at the same interest rate , what is the interest from the investment ?	2gain
the average of 65 numbers is 40 . if two numbers , 83 and 30 are discarded , then the average of the remaining numbers is nearly	0general
a + b + c + d = d + e + f + g = g + h + i = 17 given a = 4 . find value of g and h ?	0general
when a merchant imported a certain item , she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000 . if the amount of the import tax that the merchant paid was $ 111.30 , what was the total value of the item ?	0general
find the smallest number which should be multiplied with 13225 to make it a perfect square .	3geometry
3 candidates in an election and received 2500 , 5000 and 20000 votes respectively . what % of the total votes did the winningcandidate got in that election ?	2gain
in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 25 days for the patch to cover the entire lake , how many days would it take the patch to cover half of the lake ?	1physics
a 30 % alcohol mixture is added to a 50 % alcohol mixture to form a 10 litre mixture of 45 % alcohol . how much of the 30 % mixture was used ?	0general
if the charge of staying in a student youth hostel $ 18.00 / day for the first week , and $ 11.00 / day for each additional week , how much does it cost to stay for 23 days ?	0general
nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw . if the total weight of one screw and one nail is half that of 6 screws and one nail , then the total weight of 3 screws , and 3 nails is how many times that of 1 screws and 5 nails ?	0general
a number x is multiplied with itself and then added to the product of 4 and x . if the result of these two operations is - 3 , what is the value of x ?	0general
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 44 hours . if harry and james were paid the same amount last week , how many hours did harry work last week ?	0general
sides of a rectangular park are in the ratio 3 : 2 and its area is 5766 sq m , the cost of fencing it at 50 ps per meter is ?	1physics
find the smallest number of 6 digits which is exactly divisible by 111	0general
when the positive integer k is divided by the positive integer n , the remainder is 13 . if k / n = 81.2 , what is the value of n ?	0general

harold and millicent are getting married and need to combine their already - full libraries . if harold , who has 1 / 2 as many books as millicent , brings 1 / 3 of his books to their new home , then millicent will have enough room to bring 1 / 2 of her books to their new home . what fraction of millicent ' s old library capacity is the new home ' s library capacity

0general

on dividing a number by 8 , we get 8 as quotient and 0 as remainder . on dividing the same number by 5 , what will be the remainder ?

0general

what are the last two digits of ( 301 * 402 * 503 * 604 * 646 * 547 * 448 * 348 ) ^ 2

0general

the number of sailors on a ship is 82 % more than the number of officers . the ratio of sailors to officers would be

5other

let f ( x , y ) be defined as the remainder when ( x – y ) ! is divided by x . if x = 50 , what is the maximum value of y for which f ( x , y ) = 0 ?

0general

what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 9 ?

0general

the speed of a railway engine is 84 km per hour when no compartment is attached , and the reduction in speed is directly proportional to the square root of the number of compartments attached . if the speed of the train carried by this engine is 24 km per hour when 9 compartments are attached , the maximum number of compartments that can be carried by the engine is :

1physics

a train covers a distance of 90 km in 20 min . if it takes 9 sec to pass a telegraph post , then the length of the train is ?

1physics

3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 3 men and 2 women will do that task .

1physics

a third of arun â € ™ s marks in mathematics exceed a half of his marks in english by 20 . if he got 360 marks in two subjects together how many marks did he got in english ?

0general

in an ngo the daily average wages of 20 illiterate employees is decreased from rs . 25 to rs . 10 , thus the average salary of all the literate and illiterate employees is decreased rs . 10 per day . the no . of educated employees working in the ngo is ?

0general

in the fifth grade at parkway elementary school there are 500 students . 350 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?

2gain

for what value of x between − 8 and 8 , inclusive , is the value of x ^ 2 − 10 x + 16 the greatest ?

0general

what positive number , when squared , is equal to the cube of the positive square root of 16 ?

3geometry

the difference of two numbers is 1515 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder . what is the smaller number ?

0general

mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 115 mangoes .

2gain

if a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20 , what is the probability r that this product will be a multiple of 45 ?

0general

a and b can do a work in 4 days , b and c in 5 days , c and a in 7 days . if a , b and c work together , they will complete the work in ?

1physics

there are 9 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair . what is the number of pair that can be formed .

4probability

how many cubes of 3 cm edge can be cut out of a cube of 18 cm edge

4probability

600 x 223 + 600 x 77 = ?

0general

a volume of 10976 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ?

3geometry

at the end of the day , february 14 th , a florist had 150 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 20 of which were white and 15 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ?

0general

a discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price . if , during a special sale , an additional 20 percent were to be deducted from the discount price , what would be the lowest possible price of an item costing $ 260 before any discount ?

2gain

what is the lowest positive integer that is divisible by each of the integers 1 through 11 inclusive ?

0general

carl bought 16 gumballs , lewis bought 12 gumballs , and carey bought x gumballs . the average ( arithmetic mean ) number of gumballs the 3 bought is between 19 and 25 , inclusive . what is the difference between the greatest number and the smallest number of gumballs carey could have bought ?

0general

x can do a piece of work in 40 days . he works at it for 8 days and then y finished it in 28 days . how long will y take to complete the work ?

1physics

find the principle on a certain sum of money at 7 % per annum for 2 2 / 5 years if the amount being rs . 1120 ?

0general

find the simple interest on rs . 69,600 at 16 2 / 3 % per annum for 9 months .

2gain

the lcm and hcf of two numbers are 60 and 2 respectively . find the larger of the two numbers if their sum is 22 .

1physics

excluding stoppages , the speed of a bus is 54 kmph and including stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ?

1physics

the number of stamps that p and q had were in the ratio of 7 : 2 respectively . after p gave q 15 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 2 : 1 . as a result of the gift , p had how many more stamps than q ?

5other

if a , b and c together can finish a piece of work in 6 days . a alone in 12 days and b in 18 days , then c alone can do it in ?

1physics

how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 33 % iodine solution ?

2gain

the average of 10 numbers is 23 . if each number is increased by 6 , what will the new average be ?

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 16 minutes earlier than usual . how much time did the man spend walking ?

1physics

on a map , 1.5 inches represent 24 miles . how many miles approximately is the distance if you measured 49 centimeters assuming that 1 - inch is 2.54 centimeters ?

1physics

if three painters can complete three rooms in three hours , how many painters would it take to do 27 rooms in 9 hours ?

1physics

how much is 80 % of 40 is greater than 2 / 5 of 25 ?

0general

5000 - 4500 ÷ 10.00 = ?

0general

the average age of applicants for a new job is 30 , with a standard deviation of 7 . 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

a worker can load one truck in 5 hours . a second worker can load the same truck in 4 hours . if both workers load one truck simultaneously while maintaining their constant rates , approximately how long , in hours , will it take them to fill one truck ?

1physics

find the largest 4 digit number which isexactly divisible by 88 ?

0general

how many of the positive divisors of 600 are also multiples of 4 not including 600 ?

0general

little john had $ 8.50 . he spent $ 1.25 on sweets and gave to his two friends $ 1.20 each . how much money was left ?

0general

the ratio of buses to cars on river road is 1 to 17 . if there are 80 fewer buses than cars on river road , how many cars are on river road ?

5other

a car averages 55 mph for the first 4 hours of a trip and averages 70 mph for each additional hour . the average speed for the entire trip was 60 mph . how many hours long is the trip ?

0general

arnold and danny are two twin brothers that are celebrating their birthday . the product of their ages today is smaller by 11 from the product of their ages a year from today . what is their age today ?

0general

one men and three women working 7 hours a day finish a work in 5 days . four men and four women working 3 hours a day complete the work in 7 days . the number of days in which only 7 men working 4 hours a day will finish the work is ?

1physics

fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 40 kg of fresh grapes ?

2gain

a man engaged a servant on the condition that he would pay him rs . 500 and a uniform after one year service . he served only for 9 months and received uniform and rs . 250 , find the price of the uniform ?

0general

shannon and maxine work in the same building and leave work at the same time . shannon lives due north of work and maxine lives due south . the distance between maxine ' s house and shannon ' s house is 60 miles . if they both drive home at the rate 2 r miles per hour , maxine arrives home 40 minutes after shannon . if maxine rider her bike home at the rate of r per hour and shannon still drives at a rate of 2 r miles per hour , shannon arrives home 2 hours before maxine . how far does maxine live from work ?

1physics

a and b undertake to do a piece of work for rs . 1200 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . find the share of c .

1physics

a big container is 30 % full with water . if 27 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container ?

0general

in a group of cows and hens , the number of legs are 14 more than twice the number of heads . the number of cows is

0general

a computer store offers employees a 15 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 500 dollars and marked up the price 15 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 15 % off retail price ) as opposed to the final retail price .

2gain

find the area of trapezium whose parallel sides are 30 cm and 12 cm long , and the distance between them is 16 cm ?

1physics

working together , printer a and printer b would finish the task in 24 minutes . printer a alone would finish the task in 60 minutes . how many pages does the task contain if printer b prints 3 pages a minute more than printer a ?

1physics

a sum of money is put out at compound interest for 2 years at 20 % . it would fetch rs . 964 more if the interest were payable half - yearly , then it were pay able yearly . find the sum .

0general

a box contains 9 slips that are each labeled with one number : 1 , 3 , 5 , 8 , 13 , 21 , 34 and 55 . two of the slips are drawn at random from the box without replacement . what is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box ?

0general

the operation is defined for all integers a and b by the equation ab = ( a - 1 ) ( b - 1 ) . if x 9 = 160 , what is the value of x ?

0general

what percent is 3 gm of 1 kg ?

2gain

john began driving from home on a trip averaging 30 miles per hour . how many miles per hour must carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after john ?

1physics

two brother x and y appeared for an exam . let a be the event that x is selected and b is the event that y is selected . the probability of a is 17 and that of b is 29 . find the probability that both of them are selected .

5other

sandy is younger than molly by 12 years . if the ratio of their ages is 7 : 9 , how old is sandy ?

5other

the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 302 to 400 inclusive ?

0general

walking at the rate of 8 kmph a man cover certain distance in 3 hrs . . running at a speed of 16 kmph the man will cover the same distance in .

1physics

a man can row 3.3 km / hr in still water . it takes him twice as long to row upstream as to row downstream . what is the rate of the current ?

0general

two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line . for instance , 3 and 7 rhyme around 5 . what integer q between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ?

1physics

if three numbers in the ratio 3 : 2 : 5 be such that the sum of their squares is 1862 , the middle number will be

5other

factory x ' s bulbs work for over 5000 hours in 79 % of cases , whereas factory y ' s bulbs work for over 5000 hours in 85 % of cases . it is known that factory x supplies 80 % of the total bulbs available . what is the chance that a purchased bulb will work for longer than 5000 hours ?

1physics

a train 150 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?

1physics

each factor of 210 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 40 ?

5other

if the population of a certain country increases at the rate of 10 person every 60 seconds , by how many persons does the population increase in 1 hour ?

1physics

the units digit of ( 10 ) ^ ( 87 ) + ( 5 ) ^ ( 46 ) is :

0general

double of quarter of 4 percent written as a decimal is :

2gain

a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 1100 m long ?

1physics

a , b and c rents a pasture for rs . 841 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should b pay ?

0general

a one - foot stick is marked in 1 / 4 and 1 / 6 portion . how many total markings will there be , including the end points ?

0general

the curved surface area of a cylindrical pillar is 264 sq . m and its volume is 924 cub . m . find the ratio of its diameter to its height

3geometry

a can run 128 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?

1physics

jacob is now 13 years younger than michael . if 9 years from now michael will be twice as old as jacob , how old will jacob be in 4 years ?

0general

a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 86.49 , the number of the member is the group is :

0general

lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 84,000 through the lagaan from the village of mettur . mettur , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mettur over the total taxable land of the village is :

0general

in a certain lottery , the probability that a number between 12 and 20 , inclusive , is drawn is 1 / 4 . if the probability that a number 12 or larger is drawn is 2 / 3 , what is the probability that a number less than or equal to 20 is drawn ?

0general

if $ 5,000 is invested in an account at a simple annual rate of r percent , the interest is $ 250 . when $ 15,000 is invested at the same interest rate , what is the interest from the investment ?

2gain

the average of 65 numbers is 40 . if two numbers , 83 and 30 are discarded , then the average of the remaining numbers is nearly

0general

a + b + c + d = d + e + f + g = g + h + i = 17 given a = 4 . find value of g and h ?

0general

when a merchant imported a certain item , she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000 . if the amount of the import tax that the merchant paid was $ 111.30 , what was the total value of the item ?

0general

find the smallest number which should be multiplied with 13225 to make it a perfect square .

3geometry

3 candidates in an election and received 2500 , 5000 and 20000 votes respectively . what % of the total votes did the winningcandidate got in that election ?

2gain

in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 25 days for the patch to cover the entire lake , how many days would it take the patch to cover half of the lake ?

1physics

a 30 % alcohol mixture is added to a 50 % alcohol mixture to form a 10 litre mixture of 45 % alcohol . how much of the 30 % mixture was used ?

0general

if the charge of staying in a student youth hostel $ 18.00 / day for the first week , and $ 11.00 / day for each additional week , how much does it cost to stay for 23 days ?

0general

nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw . if the total weight of one screw and one nail is half that of 6 screws and one nail , then the total weight of 3 screws , and 3 nails is how many times that of 1 screws and 5 nails ?

0general

a number x is multiplied with itself and then added to the product of 4 and x . if the result of these two operations is - 3 , what is the value of x ?

0general

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 44 hours . if harry and james were paid the same amount last week , how many hours did harry work last week ?

0general

sides of a rectangular park are in the ratio 3 : 2 and its area is 5766 sq m , the cost of fencing it at 50 ps per meter is ?

1physics

find the smallest number of 6 digits which is exactly divisible by 111

0general

when the positive integer k is divided by the positive integer n , the remainder is 13 . if k / n = 81.2 , what is the value of n ?

0general