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

Problem stringlengths 5 967	category class label 6 classes
13 ltr of water is added with 11 ltr of a solution containing 16 % of alcohol in the water . the % of alcohol in the new mixture is ?	0general
a straight line in the xy - plane has y - intercept of 49 . on this line the x - coordinate of the point is 71 and y - coordinate is 12 then what is the slope of the line ?	0general
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1116 in total compensation , how many total hours did he work that week ?	0general
a train 450 m long running at 126 kmph crosses a platform in 20 sec . what is the length of the platform ?	1physics
200 is increased by 25 % . find the final number .	2gain
given that 268 x 74 = 19332 , find the value of 2.68 x . 74 .	0general
a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses . next year his income increases by 30 % but his savings increase by 100 % . if his total expenditure in 2 years is double his expenditure in 1 st year , what % age of his income in the first year did he save ?	0general
the average age of applicants for a new job is 31 , with a standard deviation of 8 . the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age . what is the maximum number of different ages of the applicants ?	0general
4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 12 weavers in 12 days ?	2gain
in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 200 girls , the total number of students in the college is	5other
a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2 . 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more . at the end of the two removal and replacement , what is the ratio q of milk and water in the resultant mixture ?	0general
a boatman can row 96 km downstream in 8 hr . if the speed of the current is 4 km / hr , then find in what time will be able to cover 8 km upstream ?	1physics
the average age of 16 persons in a office is 15 years . out of these , the average age of 5 of them is 14 years and that of the other 9 persons is 16 years . the age of the 15 th person is ?	0general
a driver goes on a trip of 50 kilometers , the first 25 kilometers at 60 kilometers per hour and the remaining distance at 30 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ?	1physics
if 2 ^ ( 2 w ) = 8 ^ ( w − 2 ) , what is the value of w ?	0general
895.7 – 573.07 – 95.007 = ?	0general
a train ride from two p to town q costs $ 6.85 more than does a bus ride from town p to town q . together , the cost of one train ride and one bus ride is $ 9.65 . what is the cost of a bus ride from town p to town q ?	0general
how much 60 % of 50 is greater than 42 % of 30 ?	2gain
matt gets a $ 1,000 commission on a big sale . this commission alone raises his average commission by $ 150 . if matt ' s new average commission is $ 250 , how many sales has matt made ?	0general
what is the smallest positive integer x for which x 3 + 5 xx 3 + 5 x has a value more than 80 ?	0general
two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.75 km and 1.25 km respectively . the time taken by the slower train to cross the faster train in seconds is ?	1physics
uncle bruce is baking chocolate chip cookies . he has 36 ounces of dough ( with no chocolate ) and 13 ounces of chocolate . how many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate ?	2gain
a cylinder is inserted in a sphere d / h = 2 / 3 . find the surface area of the cylinder ?	3geometry
how many 4 x 5 x 8 cubes could fit in a 10 x 16 x 84 box ?	3geometry
the measurements obtained for the interior dimensions of a rectangular box are 150 cm by 150 cm by 225 cm . if each of the three measurements has an error of at most 1 centimeter , which of the following is the closes maximum possible difference , in cubic centimeters , between the actual capacity of the box and the capacity computed using these measurements ?	1physics
what will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of the rectangle as base and a vertex on the opposite side of the rectangle ?	3geometry
if one positive integer is greater than another positive integer by 4 , and the difference of their cubes is 316 , what is their sum ?	0general
the average age of an adult class is 40 years . 10 new students with an avg age of 32 years join the class . therefore decreasing the average by 4 year . find what was theoriginal strength of class ?	0general
a king has 1000 bottles of wine , a queen wants to kill the king and sends a servant to poison the wine . fortunately the king ' s guard ' s catch d servant after he has only poisoned one bottle and the guard do n ' t know which bottle is poisoned . furthermore it takes one month to have an effect , and there is an anniversary party coming up in 5 weeks time ! the king decides he will get some of the prisoners in his vast dungeons to drink the wine . how many minimum prisoners does it required to sample the wine to find out the poisoned bottle so that the guests will still be able to drink the rest of the wine at his anniversary party in 5 weeks time ?	5other
30 square stone slabs of equal size were needed to cover a floor area of 120 sq . m . find the length of each stone slab ?	3geometry
if x and y are positive integers and 18 x = 12 y what is the least possible value of xy ?	0general
the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.90 per metre .	3geometry
two containers of milk contain mixtures of water and milk in ratio 5 : 4 and 7 : 9 . in what ratio they should be mixed so that mixture is of 6 : 6 ratio ?	5other
3 , 5 , 7 , 11 , 13 , 17 , 19 , ____	0general
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 360 envelopes	1physics
if x / 4 years ago roger was 14 years old and x / 4 years from now he will be 4 x years old , how old will he be 4 x years from now ?	0general
the present population of a town is 220 . population increase rate is 10 % p . a . find the population of town after 1 years ?	2gain
if a = 105 and a ^ 3 = 21 × 25 × 45 × b , what is the value of b ?	0general
if 1 / 2 of the air in a tank is removed with each stroke of a vacuum pump , what fraction of the original amount of air has been removed after 2 strokes ?	1physics
a man purchased 3 blankets @ rs . 100 each , 6 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ?	0general
the true discount on a bill due 9 months hence at 16 % per annum is rs . 270 . the amount of the bill is	2gain
for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 25 people , 8 of whom are females , by how much does the index for the females exceed the index for the males in the group ?	0general
at the end of year x , automobile installment credit accounted for 36 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 57 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ?	0general
the perimeter of a semi circle is 122 cm then the radius is ?	1physics
what is the units digit of ( 493 ) ( 915 ) ( 381 ) ( 756 ) ( 28 )	0general
if the average ( arithmetic mean ) of a and b is 150 , and the average of b and c is 90 , what is the value of a − c ?	0general
a number is said to be prime saturated if the product of all the different positive prime factors of e is less than the square root of e . what is the greatest two digit prime saturated integer ?	5other
claire has a total of 92 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ?	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 5 tons ?	0general
if a man walks at the rate of 4 kmph , he misses a train by only 6 min . however , if he walks at the rate of 5 kmph he reaches the station 6 minutes before the arrival of the train . the distance covered by him to reach the station is	1physics
what is the sum of all even integers between 99 and 301 ?	0general
a person was asked to state his age in years . his reply was , ` ` take my age 4 years hence , multiply it by 4 and subtract 4 times my age 4 years ago and you will know how old i am . ' ' what was the age of the person ?	0general
the average ( arithmetic mean ) of the even integers from 24 to 48 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 12 to 24 inclusive ?	0general
2 friends a and b running up hill and then to get down length of road - 440 yads a on his return journey met b going up at 20 yards from top if a has finished race 5 minute earlier than b then how much time a had taken to complete the race ?	0general
a train speeds past a pole in 25 seconds and a platform 500 m long in 35 seconds . its length is :	1physics
the average age of 40 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
14 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ?	5other
the average of non - zero number and its square is 5 times the number . the number is :	0general
evaluate : 50 - 12 ÷ 4 × 2 =	0general
if 40 % of 3 / 5 of a number is 36 , then the number is ?	2gain
the sum and the product of two numbers are 24 and 23 respectively , the difference of the number is ?	0general
at a certain company , each employee has a salary grade s that is at least 1 and at most 7 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 1 ) . an employee with a salary grade of 7 receives how many more dollars per hour than an employee with a salary grade of 1 ?	0general
machine a can process 6000 envelopes in 3 hours . machines b and c working together but independently can process the same number of envelopes in 2.5 hours . if machines a and c working together but independently process 3000 envelopes in 1 hour , then how many hours would it take machine b to process 2800 envelopes .	1physics
if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units d digit of ( a + 2 ) ^ 2 ?	0general
ron has had 3 pay cuts in her salary in the past 6 months . if the first pay cut was 5 % , the second pay cut was 10 % and the third was 15 % . what will be the percentage decrease , if the salary is decreased in a single shot ?	2gain
when positive integer n is divided by 5 , the remainder is 1 . when n is divided by 7 , the remainder is 3 . what is the smallest positive integer k such that k + n is a multiple of 50 .	0general
two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 222 marks in the second test and failed by 39 marks in that test . find the pass mark in the first test ?	2gain
if the sum of the first n positive integers is s , what is the sum of the first n positive integers divisible by 3 , in terms of s ?	0general
two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.10 km and 1.4 km respectively . the time taken by the slower train to cross the faster train in seconds is ?	1physics
if x # y is defined to equal x ^ 2 / y for all x and y , then ( - 1 # 2 ) # 2 =	0general
a can do a piece of work in 4 days . b can do it in 6 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ?	1physics
how many seconds will a 800 metre long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?	1physics
the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 850 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ?	5other
at veridux corporation , there are 210 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 135 male associates , how many female managers are there ?	0general
7 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ?	0general
what is value of x if 32 - y = 16 x - y ?	0general
find the cost of fencing around a circular field of diameter 18 m at the rate of rs . 2.50 a meter ?	1physics
what is the least value of x . so that 23 x 58 is divisible by 3 .	0general
a train passes a station platform in 36 sec and a man standing on the platform in 22 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?	1physics
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 $ 8.55 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
the average age of a , b and c is 29 years . if the average age of a and c is 32 years , what is the age of b in years ?	0general
the number of sailors on a ship is 88 % more than the number of officers . the ratio of sailors to officers would be	5other
if each side of a square is increased by 6 % , find the percentage change in its area ?	2gain
the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 300 m , its area is ?	3geometry
a coin is tossed 7 times . what is the probability of getting exactly 6 heads ?	4probability
approximately how many cubic feet of water are needed to fill a circular swimming pool that is 60 feet across and 6 feet deep ?	3geometry
how many integer values r are there for x such that 1 < 3 x + 5 < 17 ?	0general
find the missing value : 8597 - ? = 7429 - 4358	0general
if m and n are positive integers and n ≠ 1 , then mn ( n − 1 ) is	1physics
two numbers are in the ratio of 5 : 7 . if 20 is subtracted from each number , they are in the ratio of 5 : 9 . what are the two numbers ?	5other
a train 500 m long can cross an electric pole in 10 sec and then find the speed of the train ?	1physics
a retailer sold 2 houses at each $ 15000 . on 1 st house he got 20 % profit and on 2 nd house he loss 5 % then find his net profit or loss ?	2gain
ages of two persons differ by 16 years . if 6 year ago , the elder one be 3 times as old the younger one , find their present age	0general
the sum of two consecutive numbers is 452 . the greatest among these three number is :	1physics
a car travels uphill at 30 km / hr and downhill at 90 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ?	0general
six 6 faced dice are thrown together . the probability that all the three show the same number on them is ?	4probability
a present value of a machine is $ 700 . its value depletion rate is 10 % per annum then find the machine value after 2 years ?	2gain
if xy denotes x is raised to the power y , find the last two digits of 19413843 + 19614181	0general
two trains 200 m and 180 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively . in how much time will they cross each other , if they are running in the same direction ?	1physics
at deluxe paint store , fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint . mauve paint is made by mixing 3 parts of red paint with 5 parts blue paint . how many liters of blue paint must be added to 24 liters of fuchsia to change it to mauve paint ?	0general

13 ltr of water is added with 11 ltr of a solution containing 16 % of alcohol in the water . the % of alcohol in the new mixture is ?

0general

a straight line in the xy - plane has y - intercept of 49 . on this line the x - coordinate of the point is 71 and y - coordinate is 12 then what is the slope of the line ?

0general

a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1116 in total compensation , how many total hours did he work that week ?

0general

a train 450 m long running at 126 kmph crosses a platform in 20 sec . what is the length of the platform ?

1physics

200 is increased by 25 % . find the final number .

2gain

given that 268 x 74 = 19332 , find the value of 2.68 x . 74 .

0general

a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses . next year his income increases by 30 % but his savings increase by 100 % . if his total expenditure in 2 years is double his expenditure in 1 st year , what % age of his income in the first year did he save ?

0general

the average age of applicants for a new job is 31 , with a standard deviation of 8 . the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age . what is the maximum number of different ages of the applicants ?

0general

4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 12 weavers in 12 days ?

2gain

in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 200 girls , the total number of students in the college is

5other

a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2 . 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more . at the end of the two removal and replacement , what is the ratio q of milk and water in the resultant mixture ?

0general

a boatman can row 96 km downstream in 8 hr . if the speed of the current is 4 km / hr , then find in what time will be able to cover 8 km upstream ?

1physics

the average age of 16 persons in a office is 15 years . out of these , the average age of 5 of them is 14 years and that of the other 9 persons is 16 years . the age of the 15 th person is ?

0general

a driver goes on a trip of 50 kilometers , the first 25 kilometers at 60 kilometers per hour and the remaining distance at 30 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ?

1physics

if 2 ^ ( 2 w ) = 8 ^ ( w − 2 ) , what is the value of w ?

0general

895.7 – 573.07 – 95.007 = ?

0general

a train ride from two p to town q costs $ 6.85 more than does a bus ride from town p to town q . together , the cost of one train ride and one bus ride is $ 9.65 . what is the cost of a bus ride from town p to town q ?

0general

how much 60 % of 50 is greater than 42 % of 30 ?

2gain

matt gets a $ 1,000 commission on a big sale . this commission alone raises his average commission by $ 150 . if matt ' s new average commission is $ 250 , how many sales has matt made ?

0general

what is the smallest positive integer x for which x 3 + 5 xx 3 + 5 x has a value more than 80 ?

0general

two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.75 km and 1.25 km respectively . the time taken by the slower train to cross the faster train in seconds is ?

1physics

uncle bruce is baking chocolate chip cookies . he has 36 ounces of dough ( with no chocolate ) and 13 ounces of chocolate . how many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate ?

2gain

a cylinder is inserted in a sphere d / h = 2 / 3 . find the surface area of the cylinder ?

3geometry

how many 4 x 5 x 8 cubes could fit in a 10 x 16 x 84 box ?

3geometry

the measurements obtained for the interior dimensions of a rectangular box are 150 cm by 150 cm by 225 cm . if each of the three measurements has an error of at most 1 centimeter , which of the following is the closes maximum possible difference , in cubic centimeters , between the actual capacity of the box and the capacity computed using these measurements ?

1physics

what will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of the rectangle as base and a vertex on the opposite side of the rectangle ?

3geometry

if one positive integer is greater than another positive integer by 4 , and the difference of their cubes is 316 , what is their sum ?

0general

the average age of an adult class is 40 years . 10 new students with an avg age of 32 years join the class . therefore decreasing the average by 4 year . find what was theoriginal strength of class ?

0general

a king has 1000 bottles of wine , a queen wants to kill the king and sends a servant to poison the wine . fortunately the king ' s guard ' s catch d servant after he has only poisoned one bottle and the guard do n ' t know which bottle is poisoned . furthermore it takes one month to have an effect , and there is an anniversary party coming up in 5 weeks time ! the king decides he will get some of the prisoners in his vast dungeons to drink the wine . how many minimum prisoners does it required to sample the wine to find out the poisoned bottle so that the guests will still be able to drink the rest of the wine at his anniversary party in 5 weeks time ?

5other

30 square stone slabs of equal size were needed to cover a floor area of 120 sq . m . find the length of each stone slab ?

3geometry

if x and y are positive integers and 18 x = 12 y what is the least possible value of xy ?

0general

the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.90 per metre .

3geometry

two containers of milk contain mixtures of water and milk in ratio 5 : 4 and 7 : 9 . in what ratio they should be mixed so that mixture is of 6 : 6 ratio ?

5other

3 , 5 , 7 , 11 , 13 , 17 , 19 , ____

0general

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 360 envelopes

1physics

if x / 4 years ago roger was 14 years old and x / 4 years from now he will be 4 x years old , how old will he be 4 x years from now ?

0general

the present population of a town is 220 . population increase rate is 10 % p . a . find the population of town after 1 years ?

2gain

if a = 105 and a ^ 3 = 21 × 25 × 45 × b , what is the value of b ?

0general

if 1 / 2 of the air in a tank is removed with each stroke of a vacuum pump , what fraction of the original amount of air has been removed after 2 strokes ?

1physics

a man purchased 3 blankets @ rs . 100 each , 6 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ?

0general

the true discount on a bill due 9 months hence at 16 % per annum is rs . 270 . the amount of the bill is

2gain

for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 25 people , 8 of whom are females , by how much does the index for the females exceed the index for the males in the group ?

0general

at the end of year x , automobile installment credit accounted for 36 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 57 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ?

0general

the perimeter of a semi circle is 122 cm then the radius is ?

1physics

what is the units digit of ( 493 ) ( 915 ) ( 381 ) ( 756 ) ( 28 )

0general

if the average ( arithmetic mean ) of a and b is 150 , and the average of b and c is 90 , what is the value of a − c ?

0general

a number is said to be prime saturated if the product of all the different positive prime factors of e is less than the square root of e . what is the greatest two digit prime saturated integer ?

5other

claire has a total of 92 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ?

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 5 tons ?

0general

if a man walks at the rate of 4 kmph , he misses a train by only 6 min . however , if he walks at the rate of 5 kmph he reaches the station 6 minutes before the arrival of the train . the distance covered by him to reach the station is

1physics

what is the sum of all even integers between 99 and 301 ?

0general

a person was asked to state his age in years . his reply was , ` ` take my age 4 years hence , multiply it by 4 and subtract 4 times my age 4 years ago and you will know how old i am . ' ' what was the age of the person ?

0general

the average ( arithmetic mean ) of the even integers from 24 to 48 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 12 to 24 inclusive ?

0general

2 friends a and b running up hill and then to get down length of road - 440 yads a on his return journey met b going up at 20 yards from top if a has finished race 5 minute earlier than b then how much time a had taken to complete the race ?

0general

a train speeds past a pole in 25 seconds and a platform 500 m long in 35 seconds . its length is :

1physics

the average age of 40 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

14 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ?

5other

the average of non - zero number and its square is 5 times the number . the number is :

0general

evaluate : 50 - 12 ÷ 4 × 2 =

0general

if 40 % of 3 / 5 of a number is 36 , then the number is ?

2gain

the sum and the product of two numbers are 24 and 23 respectively , the difference of the number is ?

0general

at a certain company , each employee has a salary grade s that is at least 1 and at most 7 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 1 ) . an employee with a salary grade of 7 receives how many more dollars per hour than an employee with a salary grade of 1 ?

0general

machine a can process 6000 envelopes in 3 hours . machines b and c working together but independently can process the same number of envelopes in 2.5 hours . if machines a and c working together but independently process 3000 envelopes in 1 hour , then how many hours would it take machine b to process 2800 envelopes .

1physics

if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units d digit of ( a + 2 ) ^ 2 ?

0general

ron has had 3 pay cuts in her salary in the past 6 months . if the first pay cut was 5 % , the second pay cut was 10 % and the third was 15 % . what will be the percentage decrease , if the salary is decreased in a single shot ?

2gain

when positive integer n is divided by 5 , the remainder is 1 . when n is divided by 7 , the remainder is 3 . what is the smallest positive integer k such that k + n is a multiple of 50 .

0general

two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 222 marks in the second test and failed by 39 marks in that test . find the pass mark in the first test ?

2gain

if the sum of the first n positive integers is s , what is the sum of the first n positive integers divisible by 3 , in terms of s ?

0general

two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.10 km and 1.4 km respectively . the time taken by the slower train to cross the faster train in seconds is ?

1physics

if x # y is defined to equal x ^ 2 / y for all x and y , then ( - 1 # 2 ) # 2 =

0general

a can do a piece of work in 4 days . b can do it in 6 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ?

1physics

how many seconds will a 800 metre long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?

1physics

the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 850 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ?

5other

at veridux corporation , there are 210 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 135 male associates , how many female managers are there ?

0general

7 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ?

0general

what is value of x if 32 - y = 16 x - y ?

0general

find the cost of fencing around a circular field of diameter 18 m at the rate of rs . 2.50 a meter ?

1physics

what is the least value of x . so that 23 x 58 is divisible by 3 .

0general

a train passes a station platform in 36 sec and a man standing on the platform in 22 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?

1physics

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 $ 8.55 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

the average age of a , b and c is 29 years . if the average age of a and c is 32 years , what is the age of b in years ?

0general

the number of sailors on a ship is 88 % more than the number of officers . the ratio of sailors to officers would be

5other

if each side of a square is increased by 6 % , find the percentage change in its area ?

2gain

the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 300 m , its area is ?

3geometry

a coin is tossed 7 times . what is the probability of getting exactly 6 heads ?

4probability

approximately how many cubic feet of water are needed to fill a circular swimming pool that is 60 feet across and 6 feet deep ?

3geometry

how many integer values r are there for x such that 1 < 3 x + 5 < 17 ?

0general

find the missing value : 8597 - ? = 7429 - 4358

0general

if m and n are positive integers and n ≠ 1 , then mn ( n − 1 ) is

1physics

two numbers are in the ratio of 5 : 7 . if 20 is subtracted from each number , they are in the ratio of 5 : 9 . what are the two numbers ?

5other

a train 500 m long can cross an electric pole in 10 sec and then find the speed of the train ?

1physics

a retailer sold 2 houses at each $ 15000 . on 1 st house he got 20 % profit and on 2 nd house he loss 5 % then find his net profit or loss ?

2gain

ages of two persons differ by 16 years . if 6 year ago , the elder one be 3 times as old the younger one , find their present age

0general

the sum of two consecutive numbers is 452 . the greatest among these three number is :

1physics

a car travels uphill at 30 km / hr and downhill at 90 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ?

0general

six 6 faced dice are thrown together . the probability that all the three show the same number on them is ?

4probability

a present value of a machine is $ 700 . its value depletion rate is 10 % per annum then find the machine value after 2 years ?

2gain

if xy denotes x is raised to the power y , find the last two digits of 19413843 + 19614181

0general

two trains 200 m and 180 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively . in how much time will they cross each other , if they are running in the same direction ?

1physics

at deluxe paint store , fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint . mauve paint is made by mixing 3 parts of red paint with 5 parts blue paint . how many liters of blue paint must be added to 24 liters of fuchsia to change it to mauve paint ?

0general