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

Problem stringlengths 5 967	category class label 6 classes
79 laboratories raise the bacterium , the laboratory have 48 culture dishes on average , which has about 25,073 bacteria each . how many bacteria are there approximately ?	0general
a set consists of 15 numbers , all are even or multiple of 5 . if 8 numbers are even and 10 numbers are multiple of 5 , how many numbers is multiple of 10 ?	0general
the greatest number that divides 2928 and 3240 leaving remainders 5 and 1 respectively is :	0general
find large number from below question the difference of 2 no ' s is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder	0general
a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 72 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480	2gain
a and b together can do a work in 3 days . if a alone can do it in 6 days . in how many days can b alone do it ?	1physics
a man is 26 years older than his studen . in two years , his age will be twice the age of his student . the present age of his student is :	0general
a = { 2 , 3 , 4 , 5 } b = { 4 , 5 , 6 , 7 , 8 } two integers will be randomly selected from the sets above , one integer from set a and one integer from set b . what is the probability t that the sum of the two integers will equal 9 ?	0general
the population of a bacteria culture doubles every 4 minutes . approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria	0general
how many pieces can a square pizza be cut into by making 4 linear cuts ?	3geometry
two trains of length 220 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?	1physics
we bought orange juice and apple juice at the store . a bottle of orange juice costs 70 cents and a bottle of apple juice costs 60 cents . we bought a total of 70 bottles for $ 46.20 . how many bottles of orange juice did we buy ?	0general
if x is to be chosen at random from the integers between 1 to 7 , inclusive , and y is to be chosen at random from the integers between 7 and 11 , inclusive , what is the probability that x + y will be even ?	0general
a glucose molecule contains 6 carbon , 12 hydrogen and 6 oxygen atoms . during photosynthesis , green plants create glucose daily . if , over a period of 12 days , an eucalyptus plant ( a green plant ) creates 12000 molecules of glucose then approximately how many more atoms of hydrogen than carbon are created on average per day ?	0general
a basketball player practices 2 hours a day monday through friday . how many hours must he practice saturday and sunday combined if he wants to practice an average ( arithmetic mean ) of 3 hours a day for the 7 day week ?	0general
when the positive integer k is divided by the positive integer n , the remainder is 11 . if k / n = 83.2 , what is the value of n ?	0general
what sum of money will produce rs . 90 as simple interest in 4 years at 4 1 / 2 percent ?	2gain
two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 7 seconds . find the length of the faster train ?	1physics
if the average ( arithmetic mean ) of a and b is 80 , and the average of b and c is 180 , what is the value of a − c ?	0general
exactly 3 / 7 of the people in the room are under the age of 21 , and exactly 5 / 8 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ?	0general
alice picked a number of pears , each of which she sold , canned , or poached . she canned 20 percent more than she poached , and she poached 50 percent less than she sold . if there were a total of 42 pears , then how many pears did she sell ?	0general
the value of x + x ( x ^ x ) when x = 10 is	0general
if k is a non - negative integer and 30 ^ k is a divisor of 929260 then 3 ^ k - k ^ 3 =	0general
a sum was put at simple interest at a certain rate for 4 years had it been put at 2 % higher rate , it would have fetched 56 more . find the sum .	2gain
a vending machine randomly dispenses 4 different types of fruit candy . there are twice as many apple candies as orange candies , twice as many strawberry candies as grape candies , and twice as many apple candies as strawberry candies . if each candy cost $ 0.1 , and there are exactly 90 candies , what is the minimum amount of money required to guarantee that you would buy at least 3 of each type of candy ?	0general
a can do a work in 6 days , b can do a work in 8 days and c can do it in 12 days . b left work after 4 days . for how many number of days should a and c should work together to complete the remaining work ?	1physics
the tax on a commodity is diminished by 20 % and its consumption increased by 25 % . the effect on revenue is ?	0general
if n is a prime number greater than 4 , what is the remainder when n ^ 2 is divided by 12 ?	0general
a can do a particular work in 6 days . b can do the same work in 8 days . a and b signed to do it for rs . 3680 . they completed the work in 3 days with the help of c . how much is to be paid to c ?	1physics
in what time will a train 100 meters long cross an electric pole , if its speed is 36 km / hr	1physics
if x / ( 12 p ) is an odd prime number , where x is a positive integer and p is a prime number , what is the least value of x ?	0general
given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] – 16 = f ( x – 6 ) ?	0general
a batsman in his 12 th innings makes a score of 80 and thereby increases his average by 3 runs . what is his average after the 12 th innings if he had never been ‘ not out ’ ?	0general
each of the three people individually can complete a certain job in 4 , 5 , and 8 hours , respectively . what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ?	1physics
a train travels from new york to chicago , a distance of approximately 840 miles , at an average rate of 60 miles per hour and arrives in chicago at 7 : 00 in evening , chicago time . at what hour in the morning , new york time , did the train depart for chicago ? ( note : chicago time is one hour earlier than new york time )	1physics
if the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ?	5other
the h . c . f . of two numbers is 63 and the other two factors of their l . c . m . are 11 and 17 . the larger of the two numbers is :	5other
a rectangular swimming pool is 10 feet by 12 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 360 square feet . what is the width of the deck ?	3geometry
find the probability that a leap year selected at random will not have 53 sundays or mondays .	4probability
a copy machine , working at a constant rate , makes 25 copies per minute . a second copy machine , working at a constant rate , makes 55 copies per minute . working together at their respective rates , how many copies do the two machines make in half an hour ?	1physics
a student multiplied a number by 3 / 5 instead of 5 / 3 . what is the percentage error .	0general
solve the given equation 9 ^ y = 3 ^ 12 , what is y ?	0general
the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?	3geometry
a , b and c started a partnership business by investing rs . 30000 , rs . 45000 , rs . 50000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ?	2gain
if the number is decreased by 5 and divided by 7 the result is 7 . what would be the result if 4 is subtracted and divided by 10 ?	0general
integer m has 4 different prime factors and n has 3 different prime factors . if m and n has the greatest common factor of 15 , how many different prime factors does mn have ?	5other
if x ^ 2 + ( 1 / x ^ 2 ) = 5 , x ^ 4 + ( 1 / x ^ 4 ) = ?	0general
on a sum of money , the s . i . for 2 years is $ 600 , while the c . i . is $ 609 , the rate of interest being the same in both the cases . the rate of interest is ?	2gain
in arun ' s opinion , his weight is greater than 62 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 65 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ?	0general
x and y are two towns . ganesh covers the distance from x to y at an average speed of 60 km / hr . however , he covers the distance from y to x at an average speed of 36 km / hr . his average speed during the whole journey in km / hr . is :	0general
( 12 ) ^ 3 x 6 ^ 4 ÷ 432 = ?	0general
two cylinders are of the same height . their radii are in the ratio 1 : 3 . if the volume of the first cylinder is 40 cc . find the volume of the second cylinder ?	3geometry
a grocer has a sale of rs . 2500 , rs . 4000 , rs . 3540 for 3 consecutive months . how much sale must he have in the fourth month so that he gets an average sale of rs . 2890 ?	0general
if 3 ^ x * 4 ^ y = 4 , 782,969 and x – y = 14 , then x = ?	0general
if x , y , and z are positive real numbers such that x + y - z = 100 , y - z + x = 120 , and z - x + y = 50 , then find the x + y + z value ?	0general
the volume of a cube is 3375 cc . find its surface .	3geometry
if the cost price of 10 articles is equal to the selling price of 20 articles , what is the % profit or loss made by the merchant ?	2gain
( 0.76 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.76 ) ( power 2 ) + 0.076 + ( 0.1 ) ( power 2 ) is :	0general
one - third of 1206 is what percent of 134 ?	2gain
the digit sum of the year 2007 is 2 + 0 + 0 + 7 = 9 , which is a square number . how many years during the 20 - first century have a square digital sum ?	0general
a certain automobile company ’ s best - selling model is the speedster . the speedster , like all of their other models , comes in coupe and convertible styles . 2 / 3 of the current inventory is speedsters , of which 4 / 5 are convertibles . if there are 40 vehicles that are not speedsters , how many speedster convertibles are there ?	1physics
earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 180 envelopes	1physics
boy sells a book for rs . 810 he gets a loss of 10 % , to gain 10 % , what should be the sp ?	2gain
a discount electronics store normally sells all merchandise at a discount of 2 percent to 50 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 $ 100 before any discount ?	2gain
how many pieces of 85 cm length can be cut from a rod of 34 meters long ?	1physics
if 525 / 999 = 0.525 , what is the 81 st digit to the right of the decimal point in the decimal equivalent of the fraction ?	0general
p and q invested in a business . the profit earned was divided in the ratio 4 : 5 . if p invested rs 52000 , the amount invested by q is	2gain
the number 152 is equal to the sum of the cubes of two integers . what is the product of those integers ?	0general
a goods train runs at the speed of 72 km / hr and crosses a 280 m long platform in 26 sec . what is the length of the goods train ?	1physics
a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 13 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ?	3geometry
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 50 sq . feet , how many feet of fencing will be required ?	3geometry
the average weight of 24 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg . find the average weights of all the boys in the class .	0general
if ' y ' is a positive integer exactly divisible by 4 or 5 but not divisible by 8 . what could possibly be the value of ' y ' ?	0general
two goods trains each 625 m long are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?	1physics
how many figures are required to number the pages the pages of a book containing 1000 pages ?	0general
a merchant sells an item at a 20 % discount , but still makes a gross profit of 50 percent of the cost . what percent of the cost would the gross profit on the item have been if it had been sold without the discount ?	2gain
the diagonal of a rhombus are 65 m and 60 m . its area is :	3geometry
a taxi company charges $ 1.40 for the first quarter of a mile and fifteen cents for each additional quarter of a mile . what is the maximum distance someone could travel with $ 4.90 ?	1physics
the difference between a number and its three - fifths is 50 . what is the number ?	0general
john and david can finish a job together in 6 hours . if john can do the job by himself in 8 hours , what percent of the job does david do ?	2gain
a and b finish the job in 15 days . while a , b and c can finish it in 10 days . c alone will finish the job in	1physics
in what ratio should a variety of rice costing rs . 10 per kg be mixed with another variety of rice costing rs . 13.25 per kg to obtain a mixture costing rs . 10.75 per kg ?	5other
a 9 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?	3geometry
the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year . if the initial value of the scooter is rs . 40,000 , what is the value at the end of 1 year ?	0general
the greatest number by which the product of 3 consecutive multiples of 4 is always divisible is	0general
if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 6 ^ 2 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ? .	5other
rajesh spends 40 % of his monthly salary on food , 20 % of the medicines and saves 60 % of the remaining amount . if his monthly salary is rs . 15000 , how much money does he save every month ?	2gain
the average ( arithmetic mean ) of 14 , 32 , and 53 is 3 more than the average of 21 , 47 , and x . what is x ?	0general
how long does a train 165 meters long running at the rate of 36 kmph take to cross a bridge 660 meters in length ?	1physics
if √ 2 n = 64 , then the value of n is :	0general
a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 4500 as profit , what is their total profit ?	0general
robert ' s salary was decreased by 30 % and subsequently increased by 30 % . how much percentage does he lose ?	0general
4 + 4	0general
the total age of a and b is 20 years more than the total age of b and c . c is how many years younger than a . ?	0general
if 6 cats can kill 6 rats in 6 minutes , how long will it take 100 cats to kill 100 rats ?	1physics
what is the smallest integer that is multiple of 5 , 7,20	0general
in the xy - coordinate system , what is the slope of the line that goes through the point ( 7 , 3 ) and is equidistant from the two points p = ( 5 , 5 ) and q = ( 13 , 7 ) ?	0general
if x is to be chosen at random from the integers between 1 to 7 , inclusive , and y is to be chosen at random from the integers between 8 and 12 , inclusive , what is the probability that x + y will be even ?	0general
hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench . if the total weight of 1 hammers and three wrenches is one - third that of 8 hammers and 5 wrenches , then the total weight of one wrench is how many times that of one hammer ?	0general
3 friends a , b , c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds . a , b , c , ab , bc , ac , abc . final round measure is 175 kg then find the average weight of all the 7 rounds ?	0general

79 laboratories raise the bacterium , the laboratory have 48 culture dishes on average , which has about 25,073 bacteria each . how many bacteria are there approximately ?

0general

a set consists of 15 numbers , all are even or multiple of 5 . if 8 numbers are even and 10 numbers are multiple of 5 , how many numbers is multiple of 10 ?

0general

the greatest number that divides 2928 and 3240 leaving remainders 5 and 1 respectively is :

0general

find large number from below question the difference of 2 no ' s is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder

0general

a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 72 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480

2gain

a and b together can do a work in 3 days . if a alone can do it in 6 days . in how many days can b alone do it ?

1physics

a man is 26 years older than his studen . in two years , his age will be twice the age of his student . the present age of his student is :

0general

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

0general

the population of a bacteria culture doubles every 4 minutes . approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria

0general

how many pieces can a square pizza be cut into by making 4 linear cuts ?

3geometry

two trains of length 220 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?

1physics

we bought orange juice and apple juice at the store . a bottle of orange juice costs 70 cents and a bottle of apple juice costs 60 cents . we bought a total of 70 bottles for $ 46.20 . how many bottles of orange juice did we buy ?

0general

if x is to be chosen at random from the integers between 1 to 7 , inclusive , and y is to be chosen at random from the integers between 7 and 11 , inclusive , what is the probability that x + y will be even ?

0general

a glucose molecule contains 6 carbon , 12 hydrogen and 6 oxygen atoms . during photosynthesis , green plants create glucose daily . if , over a period of 12 days , an eucalyptus plant ( a green plant ) creates 12000 molecules of glucose then approximately how many more atoms of hydrogen than carbon are created on average per day ?

0general

a basketball player practices 2 hours a day monday through friday . how many hours must he practice saturday and sunday combined if he wants to practice an average ( arithmetic mean ) of 3 hours a day for the 7 day week ?

0general

when the positive integer k is divided by the positive integer n , the remainder is 11 . if k / n = 83.2 , what is the value of n ?

0general

what sum of money will produce rs . 90 as simple interest in 4 years at 4 1 / 2 percent ?

2gain

two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 7 seconds . find the length of the faster train ?

1physics

if the average ( arithmetic mean ) of a and b is 80 , and the average of b and c is 180 , what is the value of a − c ?

0general

exactly 3 / 7 of the people in the room are under the age of 21 , and exactly 5 / 8 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ?

0general

alice picked a number of pears , each of which she sold , canned , or poached . she canned 20 percent more than she poached , and she poached 50 percent less than she sold . if there were a total of 42 pears , then how many pears did she sell ?

0general

the value of x + x ( x ^ x ) when x = 10 is

0general

if k is a non - negative integer and 30 ^ k is a divisor of 929260 then 3 ^ k - k ^ 3 =

0general

a sum was put at simple interest at a certain rate for 4 years had it been put at 2 % higher rate , it would have fetched 56 more . find the sum .

2gain

a vending machine randomly dispenses 4 different types of fruit candy . there are twice as many apple candies as orange candies , twice as many strawberry candies as grape candies , and twice as many apple candies as strawberry candies . if each candy cost $ 0.1 , and there are exactly 90 candies , what is the minimum amount of money required to guarantee that you would buy at least 3 of each type of candy ?

0general

a can do a work in 6 days , b can do a work in 8 days and c can do it in 12 days . b left work after 4 days . for how many number of days should a and c should work together to complete the remaining work ?

1physics

the tax on a commodity is diminished by 20 % and its consumption increased by 25 % . the effect on revenue is ?

0general

if n is a prime number greater than 4 , what is the remainder when n ^ 2 is divided by 12 ?

0general

a can do a particular work in 6 days . b can do the same work in 8 days . a and b signed to do it for rs . 3680 . they completed the work in 3 days with the help of c . how much is to be paid to c ?

1physics

in what time will a train 100 meters long cross an electric pole , if its speed is 36 km / hr

1physics

if x / ( 12 p ) is an odd prime number , where x is a positive integer and p is a prime number , what is the least value of x ?

0general

given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] – 16 = f ( x – 6 ) ?

0general

a batsman in his 12 th innings makes a score of 80 and thereby increases his average by 3 runs . what is his average after the 12 th innings if he had never been ‘ not out ’ ?

0general

each of the three people individually can complete a certain job in 4 , 5 , and 8 hours , respectively . what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ?

1physics

a train travels from new york to chicago , a distance of approximately 840 miles , at an average rate of 60 miles per hour and arrives in chicago at 7 : 00 in evening , chicago time . at what hour in the morning , new york time , did the train depart for chicago ? ( note : chicago time is one hour earlier than new york time )

1physics

if the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ?

5other

the h . c . f . of two numbers is 63 and the other two factors of their l . c . m . are 11 and 17 . the larger of the two numbers is :

5other

a rectangular swimming pool is 10 feet by 12 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 360 square feet . what is the width of the deck ?

3geometry

find the probability that a leap year selected at random will not have 53 sundays or mondays .

4probability

a copy machine , working at a constant rate , makes 25 copies per minute . a second copy machine , working at a constant rate , makes 55 copies per minute . working together at their respective rates , how many copies do the two machines make in half an hour ?

1physics

a student multiplied a number by 3 / 5 instead of 5 / 3 . what is the percentage error .

0general

solve the given equation 9 ^ y = 3 ^ 12 , what is y ?

0general

the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?

3geometry

a , b and c started a partnership business by investing rs . 30000 , rs . 45000 , rs . 50000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ?

2gain

if the number is decreased by 5 and divided by 7 the result is 7 . what would be the result if 4 is subtracted and divided by 10 ?

0general

integer m has 4 different prime factors and n has 3 different prime factors . if m and n has the greatest common factor of 15 , how many different prime factors does mn have ?

5other

if x ^ 2 + ( 1 / x ^ 2 ) = 5 , x ^ 4 + ( 1 / x ^ 4 ) = ?

0general

on a sum of money , the s . i . for 2 years is $ 600 , while the c . i . is $ 609 , the rate of interest being the same in both the cases . the rate of interest is ?

2gain

in arun ' s opinion , his weight is greater than 62 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 65 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ?

0general

x and y are two towns . ganesh covers the distance from x to y at an average speed of 60 km / hr . however , he covers the distance from y to x at an average speed of 36 km / hr . his average speed during the whole journey in km / hr . is :

0general

( 12 ) ^ 3 x 6 ^ 4 ÷ 432 = ?

0general

two cylinders are of the same height . their radii are in the ratio 1 : 3 . if the volume of the first cylinder is 40 cc . find the volume of the second cylinder ?

3geometry

a grocer has a sale of rs . 2500 , rs . 4000 , rs . 3540 for 3 consecutive months . how much sale must he have in the fourth month so that he gets an average sale of rs . 2890 ?

0general

if 3 ^ x * 4 ^ y = 4 , 782,969 and x – y = 14 , then x = ?

0general

if x , y , and z are positive real numbers such that x + y - z = 100 , y - z + x = 120 , and z - x + y = 50 , then find the x + y + z value ?

0general

the volume of a cube is 3375 cc . find its surface .

3geometry

if the cost price of 10 articles is equal to the selling price of 20 articles , what is the % profit or loss made by the merchant ?

2gain

( 0.76 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.76 ) ( power 2 ) + 0.076 + ( 0.1 ) ( power 2 ) is :

0general

one - third of 1206 is what percent of 134 ?

2gain

the digit sum of the year 2007 is 2 + 0 + 0 + 7 = 9 , which is a square number . how many years during the 20 - first century have a square digital sum ?

0general

a certain automobile company ’ s best - selling model is the speedster . the speedster , like all of their other models , comes in coupe and convertible styles . 2 / 3 of the current inventory is speedsters , of which 4 / 5 are convertibles . if there are 40 vehicles that are not speedsters , how many speedster convertibles are there ?

1physics

earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 180 envelopes

1physics

boy sells a book for rs . 810 he gets a loss of 10 % , to gain 10 % , what should be the sp ?

2gain

a discount electronics store normally sells all merchandise at a discount of 2 percent to 50 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 $ 100 before any discount ?

2gain

how many pieces of 85 cm length can be cut from a rod of 34 meters long ?

1physics

if 525 / 999 = 0.525 , what is the 81 st digit to the right of the decimal point in the decimal equivalent of the fraction ?

0general

p and q invested in a business . the profit earned was divided in the ratio 4 : 5 . if p invested rs 52000 , the amount invested by q is

2gain

the number 152 is equal to the sum of the cubes of two integers . what is the product of those integers ?

0general

a goods train runs at the speed of 72 km / hr and crosses a 280 m long platform in 26 sec . what is the length of the goods train ?

1physics

a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 13 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ?

3geometry

a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 50 sq . feet , how many feet of fencing will be required ?

3geometry

the average weight of 24 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg . find the average weights of all the boys in the class .

0general

if ' y ' is a positive integer exactly divisible by 4 or 5 but not divisible by 8 . what could possibly be the value of ' y ' ?

0general

two goods trains each 625 m long are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?

1physics

how many figures are required to number the pages the pages of a book containing 1000 pages ?

0general

a merchant sells an item at a 20 % discount , but still makes a gross profit of 50 percent of the cost . what percent of the cost would the gross profit on the item have been if it had been sold without the discount ?

2gain

the diagonal of a rhombus are 65 m and 60 m . its area is :

3geometry

a taxi company charges $ 1.40 for the first quarter of a mile and fifteen cents for each additional quarter of a mile . what is the maximum distance someone could travel with $ 4.90 ?

1physics

the difference between a number and its three - fifths is 50 . what is the number ?

0general

john and david can finish a job together in 6 hours . if john can do the job by himself in 8 hours , what percent of the job does david do ?

2gain

a and b finish the job in 15 days . while a , b and c can finish it in 10 days . c alone will finish the job in

1physics

in what ratio should a variety of rice costing rs . 10 per kg be mixed with another variety of rice costing rs . 13.25 per kg to obtain a mixture costing rs . 10.75 per kg ?

5other

a 9 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?

3geometry

the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year . if the initial value of the scooter is rs . 40,000 , what is the value at the end of 1 year ?

0general

the greatest number by which the product of 3 consecutive multiples of 4 is always divisible is

0general

if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 6 ^ 2 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ? .

5other

rajesh spends 40 % of his monthly salary on food , 20 % of the medicines and saves 60 % of the remaining amount . if his monthly salary is rs . 15000 , how much money does he save every month ?

2gain

the average ( arithmetic mean ) of 14 , 32 , and 53 is 3 more than the average of 21 , 47 , and x . what is x ?

0general

how long does a train 165 meters long running at the rate of 36 kmph take to cross a bridge 660 meters in length ?

1physics

if √ 2 n = 64 , then the value of n is :

0general

a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 4500 as profit , what is their total profit ?

0general

robert ' s salary was decreased by 30 % and subsequently increased by 30 % . how much percentage does he lose ?

0general

4 + 4

0general

the total age of a and b is 20 years more than the total age of b and c . c is how many years younger than a . ?

0general

if 6 cats can kill 6 rats in 6 minutes , how long will it take 100 cats to kill 100 rats ?

1physics

what is the smallest integer that is multiple of 5 , 7,20

0general

in the xy - coordinate system , what is the slope of the line that goes through the point ( 7 , 3 ) and is equidistant from the two points p = ( 5 , 5 ) and q = ( 13 , 7 ) ?

0general

if x is to be chosen at random from the integers between 1 to 7 , inclusive , and y is to be chosen at random from the integers between 8 and 12 , inclusive , what is the probability that x + y will be even ?

0general

hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench . if the total weight of 1 hammers and three wrenches is one - third that of 8 hammers and 5 wrenches , then the total weight of one wrench is how many times that of one hammer ?

0general

3 friends a , b , c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds . a , b , c , ab , bc , ac , abc . final round measure is 175 kg then find the average weight of all the 7 rounds ?

0general