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

Problem stringlengths 5 967	category class label 6 classes
two pipes can fill a tank in 10 minutes and 15 minutes . an outlet pipe can empty the tank in 45 minutes . if all the pipes are opened when the tank is empty , then how many minutes will it take to fill the tank ?	1physics
dean winchester has got a long wooden stock of size 60 feet , he need to cut small stock of size 1 feet long using his axe . he takes 5 minutes to cut one small stock ( 1 feet ) , how long will he take to make 60 such small stocks ?	1physics
the difference between the squares of two consecutive odd integers is a square < 1000 whose root equals the combined sum of the digits of the two integers . what is the sum of the digits x of the larger integer ?	0general
if c is 25 % of a and 50 % of b , what percent of a is b ?	2gain
a metallic cuboid of dimensions 27 x 18 x 12 m is melted . find the minimum amount of the volume of molten metal which should be added to mould it into a cube whose edge is ' a ' cm where a is an integer .	1physics
a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses . if student a answers each of the 100 questions on her test and receives a score of 61 , how many questions did student a answer correctly ?	0general
if x is invested in a bank at a rate of simple interest of y % p . a . for two years , then the interest earned is 600 . if x is invested at y % p . a . , for two years when the interest is compounded annually , the interest is 615 . what is the value of x ?	2gain
a store purchased a pair of pants for $ 210 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price . after some time a store owner decided to decrease the selling price by 20 percent . what was the store ' s gross profit on this sale ?	0general
the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 400 per sq . metre .	1physics
find 125 / 14 * 6	0general
if a 2 - b 2 = 5 and a * b = 2 , find a 4 + b 4 .	0general
if 1 + 2 + 3 + . . . + n = n ( n + 1 ) , then 3 ( 1 + 3 + 5 + . . . . + 79 ) = ?	0general
a river boat leaves silver town and travels upstream to gold town at an average speed of 4 kilometers per hour . it returns by the same route at an average speed of 7 kilometers per hour . what is the average speed for the round - trip in kilometers per hour ?	1physics
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 25 miles per gallon , and from town b to town c , the car averaged 30 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
if w , x , y and z are distinct odd positive integers , then the maximum value of the expression ( w ^ 2 + x ^ 2 ) * ( y ^ 2 + z ^ 2 ) can be divisible by ?	0general
john found that the average of 15 numbers is 40 . if 10 is added to each number then the mean of number is ?	0general
if a ' s salary is 20 % less than b ' s salary , by how much percent is b ' s salary more than a ' s ?	0general
what will be the difference between simple interest and compound interest @ 10 % per annum on a sum of rs . 1000 after 3 years ?	2gain
the mean of 25 values was 190 . it was detected on rechecking that one value 165 was wrongly copied as 130 for the computation of the mean . find the correct mean .	0general
a man can swim in still water at 5 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ?	0general
in an office , 10 percent of the workers have at least 5 years of service , and a total of 16 workers have at least 10 years of service . if 90 percent of the workers have fewer than 10 years of service , how many of the workers have at least 5 but fewer than 10 years of service ?	2gain
micheal and adam can do together a piece of work in 20 days . after they have worked together for 11 days micheal stops and adam completes the remaining work in 10 days . in how many days micheal complete the work separately .	1physics
a train crosses a platform of 250 m in 20 sec , same train crosses another platform of length 640 m in 40 sec . then find the length of the train ?	1physics
the difference between the ages of two persons is 11 years . ten years ago , the elder one was twice as old as the younger one . the present age of the elder person is	0general
a walks at 10 kmph and 3 hours after his start , b cycles after him at 20 kmph . how far from the start does b catch up with a ?	1physics
what would be the length of the diagonal of a square plot whose area is equal to the area of a rectangular plot of 45 m length and 40 m width ?	3geometry
a goods train runs at the speed of 72 km / hr and crosses a 80 m long platform in 26 sec . what is the length of the goods train ?	1physics
what is the total cost of 2 sandwiches at $ 1.49 each and 4 sodas at $ 0.87 each ?	0general
population of a city in 20004 was 1500000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007	2gain
how many prime numbers between 1 and 100 are factors of 7,150 ?	5other
a firm is comprised of partners and associates in a ratio of 2 : 61 . if 60 more associates were hired , the ratio of partners to associates would be 4 : 137 . how many partners are currently in the firm ?	5other
5 , 7 , 11 , 18 , 33 , ( . . . )	0general
if the radius of a circle that centers at the origin is 5 , how many w points on the circle have integer coordinates ?	3geometry
how many multiples of 7 are there between 14 and 252 ?	0general
solve x 2 â € “ 3 x â € “ 4 = 0 .	0general
the height of two right circular cones are in the ratio 1 : 2 and their perimeters of their bases are in the ratio 3 : 4 , the ratio of their volume is ?	3geometry
? % of 360 = 93.6	2gain
linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 450 , what were her original savings ?	0general
a man purchased 1 blankets @ rs . 100 each , 5 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
rice weighing 29 / 4 pounds was divided equally and placed in 4 containers . how many ounces of rice were in each container ? ( note that 1 pound = 16 ounces )	0general
the speed at which a man can row a boat in still water is 15 km / hr . if he rows downstream , where the speed of current is 3 km / hr , how many seconds will he take to cover 90 meters ?	1physics
for all positive integers m , [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even . what is [ 9 ] * [ 10 ] equivalent to ?	0general
a cube with its sides numbered 1 through 6 is rolled twice , first landing on a and then landing on b . if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6 , what is the probability q that a + b is prime ?	0general
arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make 20 % profit ?	2gain
double of quarter of 2 percent written as a decimal is :	2gain
a boat covers a certain distance downstream in 1 hour , while it comes back in 11 ⁄ 2 hours . if the speed of the stream be 3 kmph , what is the speed of the boat in still water ?	1physics
a certain bag contains 100 balls â € ” 50 white , 30 green , 8 yellow , 9 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?	5other
if the wheel is 9 cm then the number of revolutions to cover a distance of 1056 cm is ?	1physics
kanul spent $ 80000 in buying raw materials , $ 30000 in buying machinery and 20 % of the total amount he had as cash with him . what was the total amount ?	2gain
the product of two numbers is 4107 . if the h . c . f . of these numbers is 37 , then the greater number is :	0general
if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 3 ø 1 ) ø 2 = ?	0general
if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 63 , what is the value of x ?	0general
a movie buff owns movies on dvd and on blu - ray in a ratio of 9 : 2 . if she buys 2 more blu - ray movies , that ratio would change to 17 : 4 . if she owns movies on no other medium , what was the original number of movies in her library before the extra purchase ?	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 5 strokes ?	1physics
the ratio between the length and the breadth of a rectangular park is 4 : 1 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min , then the area of the park ( in sq . m ) is ?	1physics
the average weight of 9 persons increases by 1.5 kg . if a person weighing 65 kg is replaced by a new person , what could be the weight of the new person ?	0general
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1344 ?	0general
there are 100 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of manager to 98 % ?	2gain
a , b , c subscribe rs . 50,000 for a business . a subscribes rs . 4000 more than b and b rs . 5000 more than c . out of a total profit of rs . 35,000 , b receives :	0general
how many 3 digit positive integers e exist that when divided by 7 leave a remainder of 5 ?	0general
6.2 is what percent of 1000 ?	2gain
a metallic sphere of radius 12 cm is melted and drawn into a wire , whose radius of cross section is 12 cm . what is the length of the wire ?	1physics
a van takes 6 hours to cover a distance of 252 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?	1physics
the ages of two persons differ by 28 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
3 x + y = 21 , and x + 3 y = 1 . find the value of 2 x + 2 y	0general
x can finish a work in 20 days . y can finish the same work in 15 days . yworked for 9 days and left the job . how many days does x alone need to finish the remaining work ?	1physics
thomas worked in the factory @ 4550 / - per week . owner told him to give the amount after one month . then how much amount will be paid to thomas ?	0general
in the first 10 overs of a cricket game , the run rate was only 3.6 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?	2gain
in a tree , 3 / 5 of the birds are parrots while the rest are toucans . if 1 / 3 of the parrots are female and 3 / 4 of the toucans are female , what fraction of the birds in the tree are male ?	0general
working together at their respective constant rates , machine a and machine b can produce 1,800 units in 8 hours . working alone , machine b would complete that same output in 50 % more time . if machine a were to work on its own for an 8 - hour shift , what percent of the 1,800 unit total would it produce ?	2gain
a coin is tossed 6 times . what is the probability of getting exactly 5 heads ?	4probability
at a supermarket , john spent 1 / 4 of his money on fresh fruits and vegetables , 1 / 3 on meat products , and 1 / 6 on bakery products . if he spent the remaining $ 6 on candy , how much did john spend at the supermarket ?	0general
a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 13 multiples of 14 , how many multiples of 7 are there in q ?	1physics
the population of a bacteria colony doubles every day . if it was started 6 days ago with 2 bacteria and each bacteria lives for 12 days , how large is the colony today ?	1physics
in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 7500 , the number of valid votes that the other candidate got , was :	2gain
the credit card and a global payment processing companies have been suffering losses for some time now . a well known company recently announced its quarterly results . according to the results , the revenue fell to $ 48.0 billion from $ 85.0 billion , a year ago . by what percent did the revenue fall ?	2gain
10 ^ 23 - 7 is divided by 6 , remainder is ?	0general
in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 60 questions and secures 110 marks , the no of questions he attempts correctly is :	1physics
the average speed of a car decreased by 3 miles per hour every successive 8 - minutes interval . if the car traveled 3.6 miles in the sixth 8 - minute interval , what was the average speed of the car , in miles per hour , in the first 8 minute interval ?	0general
in an office , 20 percent of the workers have at least 5 years of service , and a total of 16 workers have at least 10 years of service . if 90 percent of the workers have fewer than 10 years of service , how many of the workers have at least 5 but fewer than 10 years of service ?	2gain
when a student joe , weighing 45 kg , joins a group of students whose average weight is 30 kg , the average weight goes up by 1 kg . subsequently , if two students , excluding joe , leave the group the average weight comes back to 30 kg . what is the difference between the average weight of the two students who left and the weight of joe ?	0general
what is the probability of getting a sum 9 from two throws of dice	4probability
if pintu is coded as 79523 in a certain code language , how would you code buntu in the same language ?	0general
if neha is 10 both sonali and priyanka is 15 both sadaf and tanu is 10 . how much is prinka by the same system ?	5other
if ( a + b ) = 14 , ( b + c ) = 9 and ( c + d ) = 3 , what is the value of ( a + d ) ?	0general
during a sale , the price of a pair of shoes is marked down 13 % from the regular price . after the sale ends , the price goes back to the original price . what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes ?	2gain
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 4200 envelopes .	1physics
the average weight of 8 persons increases by 4.5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ?	0general
if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 60 , what is the value of c â ˆ ’ a ?	0general
the lcm and hcf of two numbers are 100000 and 10000 respectively . find the larger of the two numbers if their sum is 110000 .	1physics
when positive integer x is divided by positive integer y , the result is 59.32 . what is the sum r of all possible 2 - digit remainders for x / y ?	0general
a certain family has 3 sons : richard is 6 years older than david , and david is 8 years older than scott . if in 8 years , richard will be twice as old as scott , then how old was david 5 years ago ?	0general
car dealership x , the total profit from sales increased by 15 percent over the previous years , while the number of cars sold decreased by 15 percent over the previous years . approximately what was the average percent increase in profit per car over the previous year .	0general
jill has 42 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ?	0general
a sum of money becomes 7 / 6 of itself in 4 years at a certain rate of simple interest . the rate per annum is ?	2gain
of the 3 - digit integers greater than 700 , how many have distinct digits ?	0general
a can finish a work in 9 days and b can do the same work in 15 days . b worked for 10 days and left the job . in how many days , a alone can finish the remaining work ?	1physics
let f ( x ) = x ^ 2 + bx + c . if f ( 6 ) = 0 and f ( - 2 ) = 0 , then b + c =	0general
a wire can be bent in the form of a circle of radius 56 cm . if it is bent in the form of a square , then its area will be	3geometry
if 40 % of a number is equal to two - third of another number , what is the ratio of first number to the second number ?	0general

two pipes can fill a tank in 10 minutes and 15 minutes . an outlet pipe can empty the tank in 45 minutes . if all the pipes are opened when the tank is empty , then how many minutes will it take to fill the tank ?

1physics

dean winchester has got a long wooden stock of size 60 feet , he need to cut small stock of size 1 feet long using his axe . he takes 5 minutes to cut one small stock ( 1 feet ) , how long will he take to make 60 such small stocks ?

1physics

the difference between the squares of two consecutive odd integers is a square < 1000 whose root equals the combined sum of the digits of the two integers . what is the sum of the digits x of the larger integer ?

0general

if c is 25 % of a and 50 % of b , what percent of a is b ?

2gain

a metallic cuboid of dimensions 27 x 18 x 12 m is melted . find the minimum amount of the volume of molten metal which should be added to mould it into a cube whose edge is ' a ' cm where a is an integer .

1physics

a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses . if student a answers each of the 100 questions on her test and receives a score of 61 , how many questions did student a answer correctly ?

0general

if x is invested in a bank at a rate of simple interest of y % p . a . for two years , then the interest earned is 600 . if x is invested at y % p . a . , for two years when the interest is compounded annually , the interest is 615 . what is the value of x ?

2gain

a store purchased a pair of pants for $ 210 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price . after some time a store owner decided to decrease the selling price by 20 percent . what was the store ' s gross profit on this sale ?

0general

the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 400 per sq . metre .

1physics

find 125 / 14 * 6

0general

if a 2 - b 2 = 5 and a * b = 2 , find a 4 + b 4 .

0general

if 1 + 2 + 3 + . . . + n = n ( n + 1 ) , then 3 ( 1 + 3 + 5 + . . . . + 79 ) = ?

0general

a river boat leaves silver town and travels upstream to gold town at an average speed of 4 kilometers per hour . it returns by the same route at an average speed of 7 kilometers per hour . what is the average speed for the round - trip in kilometers per hour ?

1physics

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 25 miles per gallon , and from town b to town c , the car averaged 30 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

if w , x , y and z are distinct odd positive integers , then the maximum value of the expression ( w ^ 2 + x ^ 2 ) * ( y ^ 2 + z ^ 2 ) can be divisible by ?

0general

john found that the average of 15 numbers is 40 . if 10 is added to each number then the mean of number is ?

0general

if a ' s salary is 20 % less than b ' s salary , by how much percent is b ' s salary more than a ' s ?

0general

what will be the difference between simple interest and compound interest @ 10 % per annum on a sum of rs . 1000 after 3 years ?

2gain

the mean of 25 values was 190 . it was detected on rechecking that one value 165 was wrongly copied as 130 for the computation of the mean . find the correct mean .

0general

a man can swim in still water at 5 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ?

0general

in an office , 10 percent of the workers have at least 5 years of service , and a total of 16 workers have at least 10 years of service . if 90 percent of the workers have fewer than 10 years of service , how many of the workers have at least 5 but fewer than 10 years of service ?

2gain

micheal and adam can do together a piece of work in 20 days . after they have worked together for 11 days micheal stops and adam completes the remaining work in 10 days . in how many days micheal complete the work separately .

1physics

a train crosses a platform of 250 m in 20 sec , same train crosses another platform of length 640 m in 40 sec . then find the length of the train ?

1physics

the difference between the ages of two persons is 11 years . ten years ago , the elder one was twice as old as the younger one . the present age of the elder person is

0general

a walks at 10 kmph and 3 hours after his start , b cycles after him at 20 kmph . how far from the start does b catch up with a ?

1physics

what would be the length of the diagonal of a square plot whose area is equal to the area of a rectangular plot of 45 m length and 40 m width ?

3geometry

a goods train runs at the speed of 72 km / hr and crosses a 80 m long platform in 26 sec . what is the length of the goods train ?

1physics

what is the total cost of 2 sandwiches at $ 1.49 each and 4 sodas at $ 0.87 each ?

0general

population of a city in 20004 was 1500000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007

2gain

how many prime numbers between 1 and 100 are factors of 7,150 ?

5other

a firm is comprised of partners and associates in a ratio of 2 : 61 . if 60 more associates were hired , the ratio of partners to associates would be 4 : 137 . how many partners are currently in the firm ?

5other

5 , 7 , 11 , 18 , 33 , ( . . . )

0general

if the radius of a circle that centers at the origin is 5 , how many w points on the circle have integer coordinates ?

3geometry

how many multiples of 7 are there between 14 and 252 ?

0general

solve x 2 â € “ 3 x â € “ 4 = 0 .

0general

the height of two right circular cones are in the ratio 1 : 2 and their perimeters of their bases are in the ratio 3 : 4 , the ratio of their volume is ?

3geometry

? % of 360 = 93.6

2gain

linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 450 , what were her original savings ?

0general

a man purchased 1 blankets @ rs . 100 each , 5 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

rice weighing 29 / 4 pounds was divided equally and placed in 4 containers . how many ounces of rice were in each container ? ( note that 1 pound = 16 ounces )

0general

the speed at which a man can row a boat in still water is 15 km / hr . if he rows downstream , where the speed of current is 3 km / hr , how many seconds will he take to cover 90 meters ?

1physics

for all positive integers m , [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even . what is [ 9 ] * [ 10 ] equivalent to ?

0general

a cube with its sides numbered 1 through 6 is rolled twice , first landing on a and then landing on b . if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6 , what is the probability q that a + b is prime ?

0general

arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make 20 % profit ?

2gain

double of quarter of 2 percent written as a decimal is :

2gain

a boat covers a certain distance downstream in 1 hour , while it comes back in 11 ⁄ 2 hours . if the speed of the stream be 3 kmph , what is the speed of the boat in still water ?

1physics

a certain bag contains 100 balls â € ” 50 white , 30 green , 8 yellow , 9 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?

5other

if the wheel is 9 cm then the number of revolutions to cover a distance of 1056 cm is ?

1physics

kanul spent $ 80000 in buying raw materials , $ 30000 in buying machinery and 20 % of the total amount he had as cash with him . what was the total amount ?

2gain

the product of two numbers is 4107 . if the h . c . f . of these numbers is 37 , then the greater number is :

0general

if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 3 ø 1 ) ø 2 = ?

0general

if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 63 , what is the value of x ?

0general

a movie buff owns movies on dvd and on blu - ray in a ratio of 9 : 2 . if she buys 2 more blu - ray movies , that ratio would change to 17 : 4 . if she owns movies on no other medium , what was the original number of movies in her library before the extra purchase ?

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 5 strokes ?

1physics

the ratio between the length and the breadth of a rectangular park is 4 : 1 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min , then the area of the park ( in sq . m ) is ?

1physics

the average weight of 9 persons increases by 1.5 kg . if a person weighing 65 kg is replaced by a new person , what could be the weight of the new person ?

0general

find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1344 ?

0general

there are 100 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of manager to 98 % ?

2gain

a , b , c subscribe rs . 50,000 for a business . a subscribes rs . 4000 more than b and b rs . 5000 more than c . out of a total profit of rs . 35,000 , b receives :

0general

how many 3 digit positive integers e exist that when divided by 7 leave a remainder of 5 ?

0general

6.2 is what percent of 1000 ?

2gain

a metallic sphere of radius 12 cm is melted and drawn into a wire , whose radius of cross section is 12 cm . what is the length of the wire ?

1physics

a van takes 6 hours to cover a distance of 252 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?

1physics

the ages of two persons differ by 28 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

3 x + y = 21 , and x + 3 y = 1 . find the value of 2 x + 2 y

0general

x can finish a work in 20 days . y can finish the same work in 15 days . yworked for 9 days and left the job . how many days does x alone need to finish the remaining work ?

1physics

thomas worked in the factory @ 4550 / - per week . owner told him to give the amount after one month . then how much amount will be paid to thomas ?

0general

in the first 10 overs of a cricket game , the run rate was only 3.6 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?

2gain

in a tree , 3 / 5 of the birds are parrots while the rest are toucans . if 1 / 3 of the parrots are female and 3 / 4 of the toucans are female , what fraction of the birds in the tree are male ?

0general

working together at their respective constant rates , machine a and machine b can produce 1,800 units in 8 hours . working alone , machine b would complete that same output in 50 % more time . if machine a were to work on its own for an 8 - hour shift , what percent of the 1,800 unit total would it produce ?

2gain

a coin is tossed 6 times . what is the probability of getting exactly 5 heads ?

4probability

at a supermarket , john spent 1 / 4 of his money on fresh fruits and vegetables , 1 / 3 on meat products , and 1 / 6 on bakery products . if he spent the remaining $ 6 on candy , how much did john spend at the supermarket ?

0general

a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 13 multiples of 14 , how many multiples of 7 are there in q ?

1physics

the population of a bacteria colony doubles every day . if it was started 6 days ago with 2 bacteria and each bacteria lives for 12 days , how large is the colony today ?

1physics

in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 7500 , the number of valid votes that the other candidate got , was :

2gain

the credit card and a global payment processing companies have been suffering losses for some time now . a well known company recently announced its quarterly results . according to the results , the revenue fell to $ 48.0 billion from $ 85.0 billion , a year ago . by what percent did the revenue fall ?

2gain

10 ^ 23 - 7 is divided by 6 , remainder is ?

0general

in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 60 questions and secures 110 marks , the no of questions he attempts correctly is :

1physics

the average speed of a car decreased by 3 miles per hour every successive 8 - minutes interval . if the car traveled 3.6 miles in the sixth 8 - minute interval , what was the average speed of the car , in miles per hour , in the first 8 minute interval ?

0general

in an office , 20 percent of the workers have at least 5 years of service , and a total of 16 workers have at least 10 years of service . if 90 percent of the workers have fewer than 10 years of service , how many of the workers have at least 5 but fewer than 10 years of service ?

2gain

when a student joe , weighing 45 kg , joins a group of students whose average weight is 30 kg , the average weight goes up by 1 kg . subsequently , if two students , excluding joe , leave the group the average weight comes back to 30 kg . what is the difference between the average weight of the two students who left and the weight of joe ?

0general

what is the probability of getting a sum 9 from two throws of dice

4probability

if pintu is coded as 79523 in a certain code language , how would you code buntu in the same language ?

0general

if neha is 10 both sonali and priyanka is 15 both sadaf and tanu is 10 . how much is prinka by the same system ?

5other

if ( a + b ) = 14 , ( b + c ) = 9 and ( c + d ) = 3 , what is the value of ( a + d ) ?

0general

during a sale , the price of a pair of shoes is marked down 13 % from the regular price . after the sale ends , the price goes back to the original price . what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes ?

2gain

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 4200 envelopes .

1physics

the average weight of 8 persons increases by 4.5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ?

0general

if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 60 , what is the value of c â ˆ ’ a ?

0general

the lcm and hcf of two numbers are 100000 and 10000 respectively . find the larger of the two numbers if their sum is 110000 .

1physics

when positive integer x is divided by positive integer y , the result is 59.32 . what is the sum r of all possible 2 - digit remainders for x / y ?

0general

a certain family has 3 sons : richard is 6 years older than david , and david is 8 years older than scott . if in 8 years , richard will be twice as old as scott , then how old was david 5 years ago ?

0general

car dealership x , the total profit from sales increased by 15 percent over the previous years , while the number of cars sold decreased by 15 percent over the previous years . approximately what was the average percent increase in profit per car over the previous year .

0general

jill has 42 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ?

0general

a sum of money becomes 7 / 6 of itself in 4 years at a certain rate of simple interest . the rate per annum is ?

2gain

of the 3 - digit integers greater than 700 , how many have distinct digits ?

0general

a can finish a work in 9 days and b can do the same work in 15 days . b worked for 10 days and left the job . in how many days , a alone can finish the remaining work ?

1physics

let f ( x ) = x ^ 2 + bx + c . if f ( 6 ) = 0 and f ( - 2 ) = 0 , then b + c =

0general

a wire can be bent in the form of a circle of radius 56 cm . if it is bent in the form of a square , then its area will be

3geometry

if 40 % of a number is equal to two - third of another number , what is the ratio of first number to the second number ?

0general