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

Problem stringlengths 5 967	category class label 6 classes
find the number , difference between number and its 3 / 5 is 64 .	0general
convert the 8 / 36 m / s into kilometers per hour ?	1physics
the mean proportional between 234 and 104 is :	0general
x and y are two towns . ganesh covers the distance from x to y at an average speed of 43 km / hr . however , he covers the distance from y to x at an average speed of 35 km / hr . his average speed during the whole journey in km / hr . is :	0general
what is the lowest positive integer that is divisible by each of the integers 1 through 8 , inclusive ?	0general
a man walks west 10 miles , then turns right towards north and walks another 10 miles . how far is he from the place he started walking .	1physics
the hcf and lcm of two numbers m and n are respectively 6 and 210 . if m + n = 60 , then 1 / m + 1 / n is equal to	0general
a certain car uses 12 gallons of gasoline in traveling 300 miles . in order for the car to travel the same distance using 10 gallons of gasoline , by how many miles per gallon must the car ’ s gas mileage be increased ?	1physics
a 300 m long train crosses a platform in 30 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?	1physics
a train 110 m long is running with a speed of 65 km / hr . in what time will it pass a man who is running at 7 km / hr in the direction opposite to that in which the train is going ?	1physics
the radius of a cylinder is 8 m , height 13 m . the volume of the cylinder is :	3geometry
marketing executives for a certain chewing gum company projected a 25 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 25 % . what percent of the projected revenue was the actual revenue ?	0general
ashok and pyarelal invested money together in a business and share a capital of ashok is 1 / 9 of that of pyarelal . if the incur a loss of rs 900 then loss of pyarelal ?	2gain
at what rate percent on simple interest will rs . 750 amount to rs . 975 in 5 years ?	2gain
a container holds 4 quarts of diesel and 4 quarts of petrol . how many quarts of water must be added to the container to create a mixture that is 3 parts dieselto 5 parts water by petrol ?	0general
at a certain bowling alley , it costs $ 0.50 to rent bowling shoes for the day and $ 1.5 to bowl 1 game . if a person has $ 12.80 and must rent shoes , what is the greatest number of complete games that person can bowl in one day ?	1physics
tough and tricky questions : number properties . what is the smallest positive integer x such that 1512 x is the cube of a positive integer ?	3geometry
4 mat - weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 8 mat - weavers in 8 days ?	2gain
if x + y = - 4 , and x = 6 / y , what is the value of x ^ 2 + y ^ 2 ?	0general
a can do a work in 15 days and b in 20 days . if they work on it together for 4 days then the fraction of the work that is left is ?	1physics
the profit obtained by selling an article for rs . 66 is the same as the loss obtained by selling it for rs . 22 . what is the cost price of the article ?	2gain
an amount of money is to be divided between p , q and r in the ratio of 3 : 7 : 12 . if the difference between the shares of p and q is rs . 2400 , what will be the difference between q and r ' s share ?	0general
a car ferry can hold up to 60 tons of cargo . what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 4 tons ?	0general
if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 65 then sum is	2gain
in a throw of dice what is the probability of ge æ « ng number greater than 1	4probability
the price of an item is discounted 7 percent on day 1 of a sale . on day 2 , the item is discounted another 7 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?	2gain
a volunteer organization is recruiting new members . in the fall they manage to increase their number by 4 % . by the spring however membership falls by 19 % . what is the total change in percentage from fall to spring ?	0general
find the value of ( √ 1.21 ) / ( √ 0.81 ) + ( √ 0.81 ) / ( √ 0.49 ) is	0general
a cubical tank is filled with water to a level of 3 feet . if the water in the tank occupies 48 cubic feet , to what fraction of its capacity is the tank filled with water ?	1physics
a and b began business with rs . 6000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 630 find the share of b .	2gain
there are 18 balls in a jar . you take out 3 blue balls without putting them back inside , and now the probability of pulling out a blue ball is 1 / 5 . how many blue balls were there in the beginning ?	4probability
sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 45 % nuts , what percent of the combined mixture is dried fruit ?	2gain
in august , a cricket team that played 120 matches won 20 % of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ?	0general
dacid obtained 72 , 45 , 72 , 77 and 75 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?	0general
find the area of a parallelogram with base 24 cm and height 16 cm .	3geometry
two pipes a and b can fill a tank in 30 hours and 45 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ?	1physics
a vendor buys 10 t - shirts at an average price of $ 14 per t - shirt . he then buys 15 more t - shirts at an average price of $ 11 per t - shirt . what is the average price d per t - shirt that the vendor paid for these purchases ?	0general
a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 120,000 and variables costs averaging $ 8 per item . if the manufacturer ’ s selling price per item is $ 12 , how many items the manufacturer produce and sell to earn an annual profit of $ 140,000 ?	0general
there are 20 poles with a constant distance between each pole . a car takes 24 seconds to reach the 12 th pole . how much time will it take to reach the last pole ?	1physics
in a group of 90 students , 36 are taking history , and 32 are taking statistics . if 57 students are taking history or statistics or both , then how many students are taking history but not statistics ?	5other
if a - b = 4 and a 2 + b 2 = 18 , find the value of ab .	0general
one computer can upload 100 megabytes worth of data in 5 seconds . two computers , including this one , working together , can upload 1300 megabytes worth of data in 40 seconds . how long would it take for the second computer , working on its own , to upload 100 megabytes of data ?	1physics
a batsman makes a score of 88 runs in the 17 th inning and thus increases his averages by 3 . find his average after 17 th inning ?	0general
two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 2 days ?	1physics
find the area between two concentric circles defined by x 2 + y 2 - 2 x + 4 y + 1 = 0 x 2 + y 2 - 2 x + 4 y - 11 = 0	0general
stacy has a 63 page history paper due in 3 days . how many pages per day would she have to write to finish on time ?	1physics
john want to buy a $ 100 trouser at the store , but he think it ’ s too expensive . finally , it goes on sale for $ 10 . what is the percent decrease ?	0general
a river 2 m deep and 45 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is ?	1physics
the sale price sarees listed for rs . 400 after successive discount is 20 % and 5 % is ?	2gain
calculate how many seconds it eill take for 4 bells to toll together again , given that they begin to toll together respectively at the intervals of 5 , 8 , 11 and 15 seconds . ?	2gain
the price of 3 pants and 6 t - shirts is rs . 2250 . with the same money one can buy 1 pant and 12 t - shirts . if one wants to buy 8 t - shirts , how much shall she have to pay ?	0general
a train running at the speed of 30 km / hr crosses a pole in 24 seconds . what is the length of the train ?	1physics
- - - - - - - - - - - - - - - - yes - - - - - - - - - no - - - - unsure subject m - - - - 500 - - - - - - - - 200 - - - - - 100 subject r - - - - 400 - - - - - - - - 100 - - - - - 300 a total of 800 students were asked whether they found two subjects , m and r , interesting . each answer was either yes or no or unsure , and the numbers of students who gave these answers are listed in the table above . if 190 students answered yes only for subject m , how many of the students did not answer yes for either subject ?	0general
in may mrs lee ' s earnings were 45 percent of the lee family ' s total income . in june mrs lee earned 20 percent more than in may . if the rest of the family ' s income was the same both months , then , in june , mrs lee ' s earnings were approximately what percent of the lee family ' s total income ?	0general
217 * 217 + 183 * 183	0general
the length of a bridge in meters , which a train 100 - meters long and traveling at 45 km / hr can cross in 30 seconds is ?	1physics
reema took a loan of rs 800 with simple interest for as many years as the rate of interest . if she paid rs . 632 as interest at the end of the loan period , what was the rate of interest .	2gain
pipe a can fill a tank in 32 minutes . pipe b can fill the same tank 3 times faster than pipe a . if both the pipes are connected to the tank so that they fill the tank simultaneously , how long will it take for the empty tank to overflow ?	1physics
a train 125 m long passes a man , running at 4 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is :	1physics
divide $ 1000 among a , b in the ratio 1 : 4 . how many $ that b get ?	5other
the positive number z is divisible by 4 . what is the remainder of dividing z ( 2 + 4 + z ) + 3 by 2 ?	0general
an alloy of zinc and copper contains the metals in the ratio 5 : 3 . the quantity of zinc to be added to 16 kg of the alloy so that the ratio of the metal may be 3 : 1 is :	5other
what is the value of ( 2 ) ^ - 6 ?	0general
the population of a village is 7800 . it increases annually at the rate of 18 % p . a . what will be its population after 2 years ?	2gain
find the numbers which are in the ratio 5 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 18 ?	0general
apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram . if the price of 33 kilograms is 168 and for 36 kgs of apples is 186 then the cost of first 20 kgs of apples is	5other
two trains 200 m and 160 m long run at the speed of 68 kmph and 40 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ?	1physics
the total age of a and b is 11 years more than the total age of b and c . c is how many years younger than a . ?	0general
lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 44,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is :	0general
s = { 2 , 3 , 4 , 5 } b = { 4 , 5 , 6 , 7 , 8 } two integers will be randomly selected from the sets above , one integer from set s and one integer from set b . what is the probability that the sum of the two integers will equal 9 ?	0general
every student in a room is either a junior or a senior . there is at least one junior and at least one senior in the room . if 1 / 3 of the juniors is equal to 4 / 3 of the seniors , what fraction of the students in the room are juniors ?	0general
how many 7 in between 1 to 130 ?	0general
given that 100.48 = x , 100.70 = y and xz = y ² , then the value of z is close to	0general
the number of stamps that p and q had were in the ratio of 7 : 4 respectively . after p gave q 8 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 6 : 5 . as a result of the gift , p had how many more stamps than q ?	5other
a certain cube floating in a bucket of water has between 80 and 85 percent of its volume below the surface of the water . if between 8 and 15 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately	3geometry
a circular logo is enlarged to fit the lid of a jar . the new diameter is 10 per cent larger than the original . by what percentage has the area of the logo increased ?	3geometry
a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 20 miles per gallon , and from town b to town c , the car averaged 25 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ?	0general
the market value of a certain machine decreased by 20 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8,000 , what was its market value two years later ?	2gain
sum of the squares of 3 no . ' s is 267 and the sum of their products taken two at a time is 131 . find the sum ?	0general
the average age of 10 students in a class is 15 years . if the age of teacher is also included , the average becomes 16 years , find the age of the teacher .	0general
the maitre ' d at an expensive manhattan restaurant has noticed that 60 % of the couples order dessert and coffee . however , 20 % of the couples who order dessert do n ' t order coffee . what is the probability w that the next couple the maitre ' d seats will not order dessert ?	4probability
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 17 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ?	1physics
in a college , 70 % of total 100 arts students are locals . 50 % of students from 200 science students are locals and 85 % of total 120 commerce students are locals . what is the total percentage of locals from arts , science and commerce .	2gain
every letter in the alphabet has a number value that is equal to its place in the alphabet . thus , the letter a has a value of 1 , the letter b has a value of 2 , the letter c has a value of 3 , etc . . . the number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word . what is the number value of the word ` ` cow ' ' ?	0general
if the population of a certain country increases at the rate of 1 person every 60 seconds , by how many persons does the population increase in 2 hours ?	1physics
a straight line in the xy - plane has y - intercept of 79 and slope of 6 . on this line the y - coordinate of the point is 14 , then what is the x - coordinate of the point ?	0general
a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area t covered by the two roads ?	3geometry
3 candidates in an election and received 5136 , 7636 and 11628 votes respectively . what % of the total votes did the winningcandidate got in that election ?	2gain
3550 - ( 1002 / 20.04 ) = ?	0general
two ants , arthur and amy , have discovered a picnic and are bringing crumbs back to the anthill . amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur . if arthur carries a total of z crumbs to the anthill , how many crumbs will amy bring to the anthill , in terms of z ?	0general
a , b and c rents a pasture for rs . 435 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ?	0general
a waiter ' s salary consists of his salary and tips . during one week his tips were 3 / 4 of his salary . what fraction of his income came from tips ?	0general
the least number which must be subtracted from 509 to make it exactly divisible by 9 is :	0general
if x / y = 9 / 8 , then ( 8 x + 7 y ) / ( 8 x â € “ 7 y ) = ?	0general
a train 140 m long , running with a speed of 63 km / hr will pass a tree in ?	1physics
a person borrows rs . 8000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year .	2gain
the ages of two persons differ by 16 years . if 5 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively	0general
a library branch originally contained 18360 volumes , 30 % of which were fiction novels . 1 / 3 of the volumes were transferred to another location and 1 / 3 of the volumes transferred were fiction novels . what percent of the remaining collection was fiction novels ?	2gain
the distance between 2 cities a and b is 1000 km . a train starts from a at 1 p . m . and travels towards b at 100 km / hr . another starts from b at 2 p . m . and travels towards a at 150 km / hr . at what time do they meet ?	1physics
in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 5 rows in all and a total of 50 bricks in the wall , how many bricks does the bottom row contain ?	0general

find the number , difference between number and its 3 / 5 is 64 .

0general

convert the 8 / 36 m / s into kilometers per hour ?

1physics

the mean proportional between 234 and 104 is :

0general

x and y are two towns . ganesh covers the distance from x to y at an average speed of 43 km / hr . however , he covers the distance from y to x at an average speed of 35 km / hr . his average speed during the whole journey in km / hr . is :

0general

what is the lowest positive integer that is divisible by each of the integers 1 through 8 , inclusive ?

0general

a man walks west 10 miles , then turns right towards north and walks another 10 miles . how far is he from the place he started walking .

1physics

the hcf and lcm of two numbers m and n are respectively 6 and 210 . if m + n = 60 , then 1 / m + 1 / n is equal to

0general

a certain car uses 12 gallons of gasoline in traveling 300 miles . in order for the car to travel the same distance using 10 gallons of gasoline , by how many miles per gallon must the car ’ s gas mileage be increased ?

1physics

a 300 m long train crosses a platform in 30 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?

1physics

a train 110 m long is running with a speed of 65 km / hr . in what time will it pass a man who is running at 7 km / hr in the direction opposite to that in which the train is going ?

1physics

the radius of a cylinder is 8 m , height 13 m . the volume of the cylinder is :

3geometry

marketing executives for a certain chewing gum company projected a 25 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 25 % . what percent of the projected revenue was the actual revenue ?

0general

ashok and pyarelal invested money together in a business and share a capital of ashok is 1 / 9 of that of pyarelal . if the incur a loss of rs 900 then loss of pyarelal ?

2gain

at what rate percent on simple interest will rs . 750 amount to rs . 975 in 5 years ?

2gain

a container holds 4 quarts of diesel and 4 quarts of petrol . how many quarts of water must be added to the container to create a mixture that is 3 parts dieselto 5 parts water by petrol ?

0general

at a certain bowling alley , it costs $ 0.50 to rent bowling shoes for the day and $ 1.5 to bowl 1 game . if a person has $ 12.80 and must rent shoes , what is the greatest number of complete games that person can bowl in one day ?

1physics

tough and tricky questions : number properties . what is the smallest positive integer x such that 1512 x is the cube of a positive integer ?

3geometry

4 mat - weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 8 mat - weavers in 8 days ?

2gain

if x + y = - 4 , and x = 6 / y , what is the value of x ^ 2 + y ^ 2 ?

0general

a can do a work in 15 days and b in 20 days . if they work on it together for 4 days then the fraction of the work that is left is ?

1physics

the profit obtained by selling an article for rs . 66 is the same as the loss obtained by selling it for rs . 22 . what is the cost price of the article ?

2gain

an amount of money is to be divided between p , q and r in the ratio of 3 : 7 : 12 . if the difference between the shares of p and q is rs . 2400 , what will be the difference between q and r ' s share ?

0general

a car ferry can hold up to 60 tons of cargo . what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 4 tons ?

0general

if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 65 then sum is

2gain

in a throw of dice what is the probability of ge æ « ng number greater than 1

4probability

the price of an item is discounted 7 percent on day 1 of a sale . on day 2 , the item is discounted another 7 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?

2gain

a volunteer organization is recruiting new members . in the fall they manage to increase their number by 4 % . by the spring however membership falls by 19 % . what is the total change in percentage from fall to spring ?

0general

find the value of ( √ 1.21 ) / ( √ 0.81 ) + ( √ 0.81 ) / ( √ 0.49 ) is

0general

a cubical tank is filled with water to a level of 3 feet . if the water in the tank occupies 48 cubic feet , to what fraction of its capacity is the tank filled with water ?

1physics

a and b began business with rs . 6000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 630 find the share of b .

2gain

there are 18 balls in a jar . you take out 3 blue balls without putting them back inside , and now the probability of pulling out a blue ball is 1 / 5 . how many blue balls were there in the beginning ?

4probability

sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 45 % nuts , what percent of the combined mixture is dried fruit ?

2gain

in august , a cricket team that played 120 matches won 20 % of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ?

0general

dacid obtained 72 , 45 , 72 , 77 and 75 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?

0general

find the area of a parallelogram with base 24 cm and height 16 cm .

3geometry

two pipes a and b can fill a tank in 30 hours and 45 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ?

1physics

a vendor buys 10 t - shirts at an average price of $ 14 per t - shirt . he then buys 15 more t - shirts at an average price of $ 11 per t - shirt . what is the average price d per t - shirt that the vendor paid for these purchases ?

0general

a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 120,000 and variables costs averaging $ 8 per item . if the manufacturer ’ s selling price per item is $ 12 , how many items the manufacturer produce and sell to earn an annual profit of $ 140,000 ?

0general

there are 20 poles with a constant distance between each pole . a car takes 24 seconds to reach the 12 th pole . how much time will it take to reach the last pole ?

1physics

in a group of 90 students , 36 are taking history , and 32 are taking statistics . if 57 students are taking history or statistics or both , then how many students are taking history but not statistics ?

5other

if a - b = 4 and a 2 + b 2 = 18 , find the value of ab .

0general

one computer can upload 100 megabytes worth of data in 5 seconds . two computers , including this one , working together , can upload 1300 megabytes worth of data in 40 seconds . how long would it take for the second computer , working on its own , to upload 100 megabytes of data ?

1physics

a batsman makes a score of 88 runs in the 17 th inning and thus increases his averages by 3 . find his average after 17 th inning ?

0general

two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 2 days ?

1physics

find the area between two concentric circles defined by x 2 + y 2 - 2 x + 4 y + 1 = 0 x 2 + y 2 - 2 x + 4 y - 11 = 0

0general

stacy has a 63 page history paper due in 3 days . how many pages per day would she have to write to finish on time ?

1physics

john want to buy a $ 100 trouser at the store , but he think it ’ s too expensive . finally , it goes on sale for $ 10 . what is the percent decrease ?

0general

a river 2 m deep and 45 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is ?

1physics

the sale price sarees listed for rs . 400 after successive discount is 20 % and 5 % is ?

2gain

calculate how many seconds it eill take for 4 bells to toll together again , given that they begin to toll together respectively at the intervals of 5 , 8 , 11 and 15 seconds . ?

2gain

the price of 3 pants and 6 t - shirts is rs . 2250 . with the same money one can buy 1 pant and 12 t - shirts . if one wants to buy 8 t - shirts , how much shall she have to pay ?

0general

a train running at the speed of 30 km / hr crosses a pole in 24 seconds . what is the length of the train ?

1physics

- - - - - - - - - - - - - - - - yes - - - - - - - - - no - - - - unsure subject m - - - - 500 - - - - - - - - 200 - - - - - 100 subject r - - - - 400 - - - - - - - - 100 - - - - - 300 a total of 800 students were asked whether they found two subjects , m and r , interesting . each answer was either yes or no or unsure , and the numbers of students who gave these answers are listed in the table above . if 190 students answered yes only for subject m , how many of the students did not answer yes for either subject ?

0general

in may mrs lee ' s earnings were 45 percent of the lee family ' s total income . in june mrs lee earned 20 percent more than in may . if the rest of the family ' s income was the same both months , then , in june , mrs lee ' s earnings were approximately what percent of the lee family ' s total income ?

0general

217 * 217 + 183 * 183

0general

the length of a bridge in meters , which a train 100 - meters long and traveling at 45 km / hr can cross in 30 seconds is ?

1physics

reema took a loan of rs 800 with simple interest for as many years as the rate of interest . if she paid rs . 632 as interest at the end of the loan period , what was the rate of interest .

2gain

pipe a can fill a tank in 32 minutes . pipe b can fill the same tank 3 times faster than pipe a . if both the pipes are connected to the tank so that they fill the tank simultaneously , how long will it take for the empty tank to overflow ?

1physics

a train 125 m long passes a man , running at 4 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is :

1physics

divide $ 1000 among a , b in the ratio 1 : 4 . how many $ that b get ?

5other

the positive number z is divisible by 4 . what is the remainder of dividing z ( 2 + 4 + z ) + 3 by 2 ?

0general

an alloy of zinc and copper contains the metals in the ratio 5 : 3 . the quantity of zinc to be added to 16 kg of the alloy so that the ratio of the metal may be 3 : 1 is :

5other

what is the value of ( 2 ) ^ - 6 ?

0general

the population of a village is 7800 . it increases annually at the rate of 18 % p . a . what will be its population after 2 years ?

2gain

find the numbers which are in the ratio 5 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 18 ?

0general

apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram . if the price of 33 kilograms is 168 and for 36 kgs of apples is 186 then the cost of first 20 kgs of apples is

5other

two trains 200 m and 160 m long run at the speed of 68 kmph and 40 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ?

1physics

the total age of a and b is 11 years more than the total age of b and c . c is how many years younger than a . ?

0general

lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 44,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is :

0general

s = { 2 , 3 , 4 , 5 } b = { 4 , 5 , 6 , 7 , 8 } two integers will be randomly selected from the sets above , one integer from set s and one integer from set b . what is the probability that the sum of the two integers will equal 9 ?

0general

every student in a room is either a junior or a senior . there is at least one junior and at least one senior in the room . if 1 / 3 of the juniors is equal to 4 / 3 of the seniors , what fraction of the students in the room are juniors ?

0general

how many 7 in between 1 to 130 ?

0general

given that 100.48 = x , 100.70 = y and xz = y ² , then the value of z is close to

0general

the number of stamps that p and q had were in the ratio of 7 : 4 respectively . after p gave q 8 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 6 : 5 . as a result of the gift , p had how many more stamps than q ?

5other

a certain cube floating in a bucket of water has between 80 and 85 percent of its volume below the surface of the water . if between 8 and 15 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately

3geometry

a circular logo is enlarged to fit the lid of a jar . the new diameter is 10 per cent larger than the original . by what percentage has the area of the logo increased ?

3geometry

a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 20 miles per gallon , and from town b to town c , the car averaged 25 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ?

0general

the market value of a certain machine decreased by 20 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8,000 , what was its market value two years later ?

2gain

sum of the squares of 3 no . ' s is 267 and the sum of their products taken two at a time is 131 . find the sum ?

0general

the average age of 10 students in a class is 15 years . if the age of teacher is also included , the average becomes 16 years , find the age of the teacher .

0general

the maitre ' d at an expensive manhattan restaurant has noticed that 60 % of the couples order dessert and coffee . however , 20 % of the couples who order dessert do n ' t order coffee . what is the probability w that the next couple the maitre ' d seats will not order dessert ?

4probability

two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 17 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ?

1physics

in a college , 70 % of total 100 arts students are locals . 50 % of students from 200 science students are locals and 85 % of total 120 commerce students are locals . what is the total percentage of locals from arts , science and commerce .

2gain

every letter in the alphabet has a number value that is equal to its place in the alphabet . thus , the letter a has a value of 1 , the letter b has a value of 2 , the letter c has a value of 3 , etc . . . the number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word . what is the number value of the word ` ` cow ' ' ?

0general

if the population of a certain country increases at the rate of 1 person every 60 seconds , by how many persons does the population increase in 2 hours ?

1physics

a straight line in the xy - plane has y - intercept of 79 and slope of 6 . on this line the y - coordinate of the point is 14 , then what is the x - coordinate of the point ?

0general

a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area t covered by the two roads ?

3geometry

3 candidates in an election and received 5136 , 7636 and 11628 votes respectively . what % of the total votes did the winningcandidate got in that election ?

2gain

3550 - ( 1002 / 20.04 ) = ?

0general

two ants , arthur and amy , have discovered a picnic and are bringing crumbs back to the anthill . amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur . if arthur carries a total of z crumbs to the anthill , how many crumbs will amy bring to the anthill , in terms of z ?

0general

a , b and c rents a pasture for rs . 435 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ?

0general

a waiter ' s salary consists of his salary and tips . during one week his tips were 3 / 4 of his salary . what fraction of his income came from tips ?

0general

the least number which must be subtracted from 509 to make it exactly divisible by 9 is :

0general

if x / y = 9 / 8 , then ( 8 x + 7 y ) / ( 8 x â € “ 7 y ) = ?

0general

a train 140 m long , running with a speed of 63 km / hr will pass a tree in ?

1physics

a person borrows rs . 8000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year .

2gain

the ages of two persons differ by 16 years . if 5 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively

0general

a library branch originally contained 18360 volumes , 30 % of which were fiction novels . 1 / 3 of the volumes were transferred to another location and 1 / 3 of the volumes transferred were fiction novels . what percent of the remaining collection was fiction novels ?

2gain

the distance between 2 cities a and b is 1000 km . a train starts from a at 1 p . m . and travels towards b at 100 km / hr . another starts from b at 2 p . m . and travels towards a at 150 km / hr . at what time do they meet ?

1physics

in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 5 rows in all and a total of 50 bricks in the wall , how many bricks does the bottom row contain ?

0general