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

Problem stringlengths 5 967	category class label 6 classes
for a certain alarm system , each code is comprised of 5 digits , but no digit can be used more than twice . how many codes can be made ?	0general
in the rectangular coordinate system , if the line x = 3 y + 5 passes through points ( m , n ) and ( m + 2 , n + p ) , what is the value of p ?	0general
what decimal fraction is 30 ml of a litre ?	1physics
a can do a piece of work in 12 days and b alone can do it in 10 days . b works at it for 5 days and then leaves . a alone can finish the remaining work in	1physics
the average of 10 numbers was calculated as 20 . it is discovered later on that while calculating the average , one number , namely 86 , was incorrectly read as 26 . what is the correct average ?	0general
find the compound interest on $ 1200 for 3 years at 20 % p . a . if ci is component yearly ?	2gain
the cross - section of a cannel is a trapezium in shape . if the cannel is 12 m wide at the top and 8 m wide at the bottom and the area of cross - section is 690 sq m , the depth of cannel is ?	1physics
a cistern which could be filled in 7 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?	1physics
pooja travels from a to b a distance of 800 miles in 10 hours . he returns to a in 5 hours . find his average speed ?	1physics
find the simple interest on rs . 68,000 at 16 2 / 3 % per year for 9 months .	2gain
if y is the smallest positive integer such that 11,025 multiplied by y is the square of an integer , then y must be	3geometry
when jessica withdrew $ 400 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 1 / 4 of the remaining balance , what will be the final balance in her bank account ?	0general
a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 290 m long ?	1physics
if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 81 and ( y - 1 ) ^ 2 is less than 64 , what is the sum of the maximum possible value of xy and the minimum possible value of xy ?	0general
the simple interest on a sum of money will be rs . 900 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?	0general
a number when divided by 6 leaves a remainder 3 . when the square of the same number is divided by 6 , the remainder is :	3geometry
the present ratio of students to teachers at a certain school is 40 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ?	5other
what is the sum of all possible solutions to \| x - 6 \| ^ 2 + \| x - 6 \| = 20 ?	0general
how many diagonals does a polygon with 15 sides have , if one of its vertices does not connect to any diagonal ?	3geometry
a and b undertake to do a piece of work for rs . 600 . 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 a	1physics
a hall is 18 meters long and 9 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ?	3geometry
truck x is 13 miles ahead of truck y , which is traveling the same direction along the same route as truck x . if truck x is traveling at an average speed of 47 miles per hour and truck y is traveling at an average speed of 53 miles per hour , how long will it take truck y to overtake and drive 5 miles ahead of truck x ?	1physics
how many bricks , each measuring 125 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
the number of boxes in a warehouse can be divided evenly into 5 equal shipments by boat or 24 equal shipments by truck . what is the smallest number of boxes that could be in the warehouse ?	0general
a sum of money amounts to rs . 6690 after 3 years and to rs . 10,035 after 6 years on compound interest . find the sum .	2gain
a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 30 paisa . if the share of y is rs . 45 , what is the total amount ?	0general
without stoppages , a train travels certain distance with an average speed of 100 km / h , and with stoppages , it covers the same distance with an average speed of 95 km / h . how many minutes per hour the train stops ?	1physics
a tank is 25 m long , 12 m wide and 6 m deep . what is the cost of plastering its walls and bottom at the rate of 75 paise per sq . m ?	1physics
a man swims downstream 36 km and upstream 26 km taking 2 hours each time , what is the speed of the man in still water ?	1physics
a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 19200 . a ' s share is ?	2gain
a student chose a number , multiplied it by 3 , then subtracted 220 from the result and got 110 . what was the number he chose ?	0general
2 + 2 + 2 ² + 2 ³ . . . + 2 ^ 10	0general
a football field is 7200 square yards . if 1200 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards ?	3geometry
{ ( 476 + 424 ) 2 - 4 x 476 x 424 } = ?	0general
an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 18 - meter platform and caught it after it had traveled 53.4 meters . how many times did the ball bounce ?	0general
a certain telescope increases the visual range at a particular location from 90 kilometers to 150 kilometers . by what percent is the visual range increased by using the telescope ?	0general
bill made a profit of 10 % by selling a product . if he had purchased that product for 10 % less and sold it at a profit of 30 % , he would have received $ 35 more . what was his original selling price ?	0general
a car left town a towards town b driving at a speed of v = 32 km / hr . after 3 hours on the road the driver stopped for 15 min in town c . because of a closed road he had to change his route , making the trip 28 km longer . he increased his speed to v = 40 km / hr but still he was 30 min late . find the distance the car has covered .	1physics
total num of pupiles in 3 grades of scholl is 333 . the no of pupiles in grades 1 and 2 are un 3 : 5 ratio and 2 and 3 grades are 7 : 11 ratio . what is the strength of class that has highest no of pupils	5other
a train 150 metres long is moving at a speed of 25 kmph . it will cross a man coming from the opposite direction at a speed of 2 km per hour in :	1physics
initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many d women are currently in the room ?	5other
twenty four meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ?	3geometry
the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 20 % profit ?	2gain
how many positive integers , from 2 to 100 , inclusive , are not divisible by odd integers greater than 1 ?	0general
a and b finish the job in 15 days . while a , b and c can finish it in 6 days . c alone will finish the job in	1physics
in x game of billiards , x can give y 10 points in 60 and he can give z 30 points in 60 . how many points can y give z in x game of 100 ?	0general
find avrg speed if a man travels at speed of 16 km / hr up and 30 km / hr dawn at an altitude of 200 m .	1physics
a can do a work in 16 days and b can do it in 8 days . in how many days a and b can do the work ?	1physics
in a forest 100 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?	0general
find the sum the difference between the compound and s . i . on a certain sum of money for 2 years at 10 % per annum is rs . 20 of money ?	0general
a man sold 20 articles for $ 50 and gained 20 % . how many articles should he sell for $ 90 to incur a loss 20 % ?	2gain
find the least number must be added to 433124 so that remaining no . is divisible by 17 ?	0general
a , b and c completed a piece of work , a worked for 6 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was rs . 1554 ?	1physics
the average weight of 25 girls increases by 1 kg when a new girl comes in place of one of them weighing 55 kg . what might be the weight of the new girl ?	0general
everyone shakes hands with everyone else in a room . total number of handshakes is 120 . number of persons = ?	0general
the average salary of the employees in a office is rs . 120 / month . the avg salary of officers is rs . 470 and of non officers is rs 110 . if the no . of officers is 15 , then find the no of nonofficers in the office .	0general
find the least number which when divided by 31 and 9 leaves a remainder of 3 in each case .	0general
two train each 500 m long , are running in opposite directions on parallel tracks . if their speeds are 45 km / hr and 30 km / hr respectively , the time taken by the slower train to pass the driver of the faster one is ?	1physics
the average age of 32 students in a group is 10 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?	0general
mohit sold an article for $ 21000 . had he offered a discount of 10 % on the selling price , he would have earned a profit of 8 % . what is the cost price of the article ?	2gain
a marketing firm determined that , of 200 households surveyed , 80 used neither brand k nor brand b soap , 60 used only brand k soap , and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 households surveyed used both brands of soap ?	5other
a shopkeeper cheats to the extent of 10 % while buying and selling , by using false weights . his total gain is .	2gain
the number of singles that a baseball player hit increased 15 percent from her first season to her second season , and the number of doubles that she hit in the same time period decreased by 5 percent . if the total number of singles and doubles that she hit increased 4 percent from her first season to her second season , what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season ?	0general
the product x of two prime numbers is between 17 and 55 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25 , then x =	0general
the average of first 6 prime numbers which are between 60 and 90 is	0general
a rectangular grass field is 95 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 . 2 per sq m ?	3geometry
the sale price sarees listed for rs . 350 after successive discount is 20 % and 5 % is ?	2gain
a train is 360 meter long is running at a speed of 56 km / hour . in what time will it pass a bridge of 140 meter length .	1physics
a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 1100 , what is the reduced price for kg ?	2gain
in a college , 280 students study hindi , 254 students study sanskrit and 280 students study english . 97 students study hindi as well as physics , 138 students study sanskrit as well as english and 152 students study hindi as well as english . 73 students study all the 3 languages . how many total number of students are there in that college ?	0general
20 men shake hands with each other . maximum no of handshakes without cyclic handshakes .	0general
a and b complete a work in 8 days . a alone can do it in 16 days . if both together can do the work in how many days ?	1physics
suppose 8 monkeys take 8 minutes to eat 8 bananas . how many monkeys would it take to eat 48 bananas in 48 minutes	1physics
a certain company has records stored with a record storage firm in 15 - inch by 12 - inch by 10 - inch boxes . the boxes occupy 1.08 million cubic inches of space . if the company pays $ 0.2 per box per month for the record storage , what is the total amount that the company pays each month for record storage ?	0general
company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 1.3 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ?	0general
two employees x and y are paid a total of rs . 528 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?	0general
8 identical machines , working alone and at their constant rates , take 6 hours to complete a job lot . how long would it take for 2 such machines to perform the same job ?	1physics
in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 50 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 shopkeeper sold an article for rs 2564.36 . approximately what was his profit percent if the cost price of the article was rs 2200	2gain
if a ( a - 6 ) = 27 and b ( b - 6 ) = 27 , where a ≠ b , then a + b = ?	0general
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 $ 8.64 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 22 percent , what is the discount rate on pony jeans ?	2gain
a cylindrical can has a radius of 4 centimeters and a height of 18 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ?	3geometry
what is 5 2 / 3 - 3 5 / 4 divided by 5 / 2 - 7 / 6 ?	0general
the perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ?	3geometry
sum of the squares of 3 no . ' s is 222 and the sum of their products taken two at a time is 131 . find the sum ?	0general
a salesman ' s income consists of a commission and a base salary of $ 450 per week . over the past 5 weeks , his weekly income totals have been $ 406 , $ 413 , $ 420 , $ 436 and $ 395 . what must his average ( arithmetic mean ) commission be per week over the next two weeks so that his average weekly income is $ 500 over the 7 - week period ?	0general
an art gallery has only paintings and sculptures . currently , 1 / 3 of the pieces of art are displayed , and 1 / 6 of the pieces on display are sculptures . if 1 / 3 of the pieces not on display are paintings , and 400 sculptures are not on display , how many pieces of art does the gallery have ?	0general
what is ( 25 ^ 7 + 25 ) / 25 ?	0general
chris mixed 5 pounds of raisins with 4 pounds of nuts . if a pound of nuts costs 3 times as much as a pound of raisins , then the total cost of the raisins was what fraction of the total cost of the mixture ?	0general
a train running at the speed of 60 km / hr crosses a pole in 18 sec . what is the length of the train ?	1physics
find the value for x from below equation : x / 3 = - 5 ?	0general
if an average hard drive had a capacity of 0.7 tb in 2000 , and average hard drive capacities double every 5 years , what will be the average hard drive capacity in 2050 ?	0general
9 men went to a hotel . 8 of them spent rs . 3 each over their meals and the ninth spent rs . 2 more than the average expenditure of all the 9 . determine the total money spent by them ? a . rs . 29.25	0general
a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?	5other
find the average of all the numbers between 6 and 34 which are divisible by 5	0general
how much time will a train of length 420 m moving at a speed of 72 kmph take to cross another train of length 640 m , moving at 36 kmph in the same direction ?	1physics
machine p and machine q are each used to manufacture 110 sprockets . it takes machine p 10 hours longer to produce 110 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?	2gain
a spider web consists of 3 concurrent lines forming radial support for 20 concentric regular hexagon . the hexagon vertices are 5 mm from their immidiate neighbour . if the innermost hexagon has a side length 3 mm how many meters is the length of the entire web including the 3 diagonals ?	1physics
when processing flower - nectar into honey bees ' extract , a considerable amount of water gets reduced . how much flower - nectar must be processed to yield 1 kg of honey , if nectar contains 50 % water , and the honey obtained from this nectar contains 25 % water ?	0general
a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is 20 % less than the real weight . further greed overtook him and he added 30 % impurities to the product . find the net profit percentage of the dealer ?	0general

for a certain alarm system , each code is comprised of 5 digits , but no digit can be used more than twice . how many codes can be made ?

0general

in the rectangular coordinate system , if the line x = 3 y + 5 passes through points ( m , n ) and ( m + 2 , n + p ) , what is the value of p ?

0general

what decimal fraction is 30 ml of a litre ?

1physics

a can do a piece of work in 12 days and b alone can do it in 10 days . b works at it for 5 days and then leaves . a alone can finish the remaining work in

1physics

the average of 10 numbers was calculated as 20 . it is discovered later on that while calculating the average , one number , namely 86 , was incorrectly read as 26 . what is the correct average ?

0general

find the compound interest on $ 1200 for 3 years at 20 % p . a . if ci is component yearly ?

2gain

the cross - section of a cannel is a trapezium in shape . if the cannel is 12 m wide at the top and 8 m wide at the bottom and the area of cross - section is 690 sq m , the depth of cannel is ?

1physics

a cistern which could be filled in 7 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?

1physics

pooja travels from a to b a distance of 800 miles in 10 hours . he returns to a in 5 hours . find his average speed ?

1physics

find the simple interest on rs . 68,000 at 16 2 / 3 % per year for 9 months .

2gain

if y is the smallest positive integer such that 11,025 multiplied by y is the square of an integer , then y must be

3geometry

when jessica withdrew $ 400 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 1 / 4 of the remaining balance , what will be the final balance in her bank account ?

0general

a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 290 m long ?

1physics

if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 81 and ( y - 1 ) ^ 2 is less than 64 , what is the sum of the maximum possible value of xy and the minimum possible value of xy ?

0general

the simple interest on a sum of money will be rs . 900 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?

0general

a number when divided by 6 leaves a remainder 3 . when the square of the same number is divided by 6 , the remainder is :

3geometry

the present ratio of students to teachers at a certain school is 40 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ?

5other

what is the sum of all possible solutions to | x - 6 | ^ 2 + | x - 6 | = 20 ?

0general

how many diagonals does a polygon with 15 sides have , if one of its vertices does not connect to any diagonal ?

3geometry

a and b undertake to do a piece of work for rs . 600 . 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 a

1physics

a hall is 18 meters long and 9 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ?

3geometry

truck x is 13 miles ahead of truck y , which is traveling the same direction along the same route as truck x . if truck x is traveling at an average speed of 47 miles per hour and truck y is traveling at an average speed of 53 miles per hour , how long will it take truck y to overtake and drive 5 miles ahead of truck x ?

1physics

how many bricks , each measuring 125 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

the number of boxes in a warehouse can be divided evenly into 5 equal shipments by boat or 24 equal shipments by truck . what is the smallest number of boxes that could be in the warehouse ?

0general

a sum of money amounts to rs . 6690 after 3 years and to rs . 10,035 after 6 years on compound interest . find the sum .

2gain

a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 30 paisa . if the share of y is rs . 45 , what is the total amount ?

0general

without stoppages , a train travels certain distance with an average speed of 100 km / h , and with stoppages , it covers the same distance with an average speed of 95 km / h . how many minutes per hour the train stops ?

1physics

a tank is 25 m long , 12 m wide and 6 m deep . what is the cost of plastering its walls and bottom at the rate of 75 paise per sq . m ?

1physics

a man swims downstream 36 km and upstream 26 km taking 2 hours each time , what is the speed of the man in still water ?

1physics

a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 19200 . a ' s share is ?

2gain

a student chose a number , multiplied it by 3 , then subtracted 220 from the result and got 110 . what was the number he chose ?

0general

2 + 2 + 2 ² + 2 ³ . . . + 2 ^ 10

0general

a football field is 7200 square yards . if 1200 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards ?

3geometry

{ ( 476 + 424 ) 2 - 4 x 476 x 424 } = ?

0general

an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 18 - meter platform and caught it after it had traveled 53.4 meters . how many times did the ball bounce ?

0general

a certain telescope increases the visual range at a particular location from 90 kilometers to 150 kilometers . by what percent is the visual range increased by using the telescope ?

0general

bill made a profit of 10 % by selling a product . if he had purchased that product for 10 % less and sold it at a profit of 30 % , he would have received $ 35 more . what was his original selling price ?

0general

a car left town a towards town b driving at a speed of v = 32 km / hr . after 3 hours on the road the driver stopped for 15 min in town c . because of a closed road he had to change his route , making the trip 28 km longer . he increased his speed to v = 40 km / hr but still he was 30 min late . find the distance the car has covered .

1physics

total num of pupiles in 3 grades of scholl is 333 . the no of pupiles in grades 1 and 2 are un 3 : 5 ratio and 2 and 3 grades are 7 : 11 ratio . what is the strength of class that has highest no of pupils

5other

a train 150 metres long is moving at a speed of 25 kmph . it will cross a man coming from the opposite direction at a speed of 2 km per hour in :

1physics

initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many d women are currently in the room ?

5other

twenty four meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ?

3geometry

the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 20 % profit ?

2gain

how many positive integers , from 2 to 100 , inclusive , are not divisible by odd integers greater than 1 ?

0general

a and b finish the job in 15 days . while a , b and c can finish it in 6 days . c alone will finish the job in

1physics

in x game of billiards , x can give y 10 points in 60 and he can give z 30 points in 60 . how many points can y give z in x game of 100 ?

0general

find avrg speed if a man travels at speed of 16 km / hr up and 30 km / hr dawn at an altitude of 200 m .

1physics

a can do a work in 16 days and b can do it in 8 days . in how many days a and b can do the work ?

1physics

in a forest 100 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?

0general

find the sum the difference between the compound and s . i . on a certain sum of money for 2 years at 10 % per annum is rs . 20 of money ?

0general

a man sold 20 articles for $ 50 and gained 20 % . how many articles should he sell for $ 90 to incur a loss 20 % ?

2gain

find the least number must be added to 433124 so that remaining no . is divisible by 17 ?

0general

a , b and c completed a piece of work , a worked for 6 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was rs . 1554 ?

1physics

the average weight of 25 girls increases by 1 kg when a new girl comes in place of one of them weighing 55 kg . what might be the weight of the new girl ?

0general

everyone shakes hands with everyone else in a room . total number of handshakes is 120 . number of persons = ?

0general

the average salary of the employees in a office is rs . 120 / month . the avg salary of officers is rs . 470 and of non officers is rs 110 . if the no . of officers is 15 , then find the no of nonofficers in the office .

0general

find the least number which when divided by 31 and 9 leaves a remainder of 3 in each case .

0general

two train each 500 m long , are running in opposite directions on parallel tracks . if their speeds are 45 km / hr and 30 km / hr respectively , the time taken by the slower train to pass the driver of the faster one is ?

1physics

the average age of 32 students in a group is 10 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?

0general

mohit sold an article for $ 21000 . had he offered a discount of 10 % on the selling price , he would have earned a profit of 8 % . what is the cost price of the article ?

2gain

a marketing firm determined that , of 200 households surveyed , 80 used neither brand k nor brand b soap , 60 used only brand k soap , and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 households surveyed used both brands of soap ?

5other

a shopkeeper cheats to the extent of 10 % while buying and selling , by using false weights . his total gain is .

2gain

the number of singles that a baseball player hit increased 15 percent from her first season to her second season , and the number of doubles that she hit in the same time period decreased by 5 percent . if the total number of singles and doubles that she hit increased 4 percent from her first season to her second season , what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season ?

0general

the product x of two prime numbers is between 17 and 55 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25 , then x =

0general

the average of first 6 prime numbers which are between 60 and 90 is

0general

a rectangular grass field is 95 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 . 2 per sq m ?

3geometry

the sale price sarees listed for rs . 350 after successive discount is 20 % and 5 % is ?

2gain

a train is 360 meter long is running at a speed of 56 km / hour . in what time will it pass a bridge of 140 meter length .

1physics

a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 1100 , what is the reduced price for kg ?

2gain

in a college , 280 students study hindi , 254 students study sanskrit and 280 students study english . 97 students study hindi as well as physics , 138 students study sanskrit as well as english and 152 students study hindi as well as english . 73 students study all the 3 languages . how many total number of students are there in that college ?

0general

20 men shake hands with each other . maximum no of handshakes without cyclic handshakes .

0general

a and b complete a work in 8 days . a alone can do it in 16 days . if both together can do the work in how many days ?

1physics

suppose 8 monkeys take 8 minutes to eat 8 bananas . how many monkeys would it take to eat 48 bananas in 48 minutes

1physics

a certain company has records stored with a record storage firm in 15 - inch by 12 - inch by 10 - inch boxes . the boxes occupy 1.08 million cubic inches of space . if the company pays $ 0.2 per box per month for the record storage , what is the total amount that the company pays each month for record storage ?

0general

company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 1.3 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ?

0general

two employees x and y are paid a total of rs . 528 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?

0general

8 identical machines , working alone and at their constant rates , take 6 hours to complete a job lot . how long would it take for 2 such machines to perform the same job ?

1physics

in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 50 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 shopkeeper sold an article for rs 2564.36 . approximately what was his profit percent if the cost price of the article was rs 2200

2gain

if a ( a - 6 ) = 27 and b ( b - 6 ) = 27 , where a ≠ b , then a + b = ?

0general

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 $ 8.64 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 22 percent , what is the discount rate on pony jeans ?

2gain

a cylindrical can has a radius of 4 centimeters and a height of 18 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ?

3geometry

what is 5 2 / 3 - 3 5 / 4 divided by 5 / 2 - 7 / 6 ?

0general

the perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ?

3geometry

sum of the squares of 3 no . ' s is 222 and the sum of their products taken two at a time is 131 . find the sum ?

0general

a salesman ' s income consists of a commission and a base salary of $ 450 per week . over the past 5 weeks , his weekly income totals have been $ 406 , $ 413 , $ 420 , $ 436 and $ 395 . what must his average ( arithmetic mean ) commission be per week over the next two weeks so that his average weekly income is $ 500 over the 7 - week period ?

0general

an art gallery has only paintings and sculptures . currently , 1 / 3 of the pieces of art are displayed , and 1 / 6 of the pieces on display are sculptures . if 1 / 3 of the pieces not on display are paintings , and 400 sculptures are not on display , how many pieces of art does the gallery have ?

0general

what is ( 25 ^ 7 + 25 ) / 25 ?

0general

chris mixed 5 pounds of raisins with 4 pounds of nuts . if a pound of nuts costs 3 times as much as a pound of raisins , then the total cost of the raisins was what fraction of the total cost of the mixture ?

0general

a train running at the speed of 60 km / hr crosses a pole in 18 sec . what is the length of the train ?

1physics

find the value for x from below equation : x / 3 = - 5 ?

0general

if an average hard drive had a capacity of 0.7 tb in 2000 , and average hard drive capacities double every 5 years , what will be the average hard drive capacity in 2050 ?

0general

9 men went to a hotel . 8 of them spent rs . 3 each over their meals and the ninth spent rs . 2 more than the average expenditure of all the 9 . determine the total money spent by them ? a . rs . 29.25

0general

a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?

5other

find the average of all the numbers between 6 and 34 which are divisible by 5

0general

how much time will a train of length 420 m moving at a speed of 72 kmph take to cross another train of length 640 m , moving at 36 kmph in the same direction ?

1physics

machine p and machine q are each used to manufacture 110 sprockets . it takes machine p 10 hours longer to produce 110 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?

2gain

a spider web consists of 3 concurrent lines forming radial support for 20 concentric regular hexagon . the hexagon vertices are 5 mm from their immidiate neighbour . if the innermost hexagon has a side length 3 mm how many meters is the length of the entire web including the 3 diagonals ?

1physics

when processing flower - nectar into honey bees ' extract , a considerable amount of water gets reduced . how much flower - nectar must be processed to yield 1 kg of honey , if nectar contains 50 % water , and the honey obtained from this nectar contains 25 % water ?

0general

a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is 20 % less than the real weight . further greed overtook him and he added 30 % impurities to the product . find the net profit percentage of the dealer ?

0general