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

Problem stringlengths 5 967	category class label 6 classes
a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 4 and b : c = 2 : 5 . if the total runs scored by all of them are 100 , the runs scored by b are ?	0general
if f ( x ) = 6 x ^ 4 - 4 x ^ 3 - 3 x ^ 2 + 6 x , then f ( - 1 ) =	0general
a train 820 m long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 min , then the length of the tunnel is ?	1physics
if 5 people contributed a total of $ 20.00 toward a gift and each of them contributed at least $ 3.00 , then the maximum possible amount any one person could have contributed is	0general
a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 8 less , he would have made a profit of 10 % . the c . p . of the article was	2gain
jacob is now 12 years younger than michael . if 11 years from now michael will be twice as old as jacob , how old will jacob be in 4 years ?	0general
the marks obtained by vijay and amith are in the ratio 2 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ?	5other
a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what percent e of the list price is the lowest possible sale price ?	0general
the area of a rectangular field is 144 m 2 . if the length had been 6 metres more , the area would have been 54 m 2 more . the original length of the field is	1physics
find a sum for 1 st 6 prime number ' s ?	0general
chris mixed 3 pounds of raisins with 4 pounds of nuts . if a pound of nuts costs 4 times as much as a pound of raisins , then the total cost of the raisins was what fraction of the total cost of the mixture ?	0general
45 x ? = 45 % of 900	0general
the average of first five multiples of 3 is ?	0general
p , q and r together earn rs . 1980 in 9 days . p and r can earn rs . 600 in 5 days . q and r in 7 days can earn rs . 910 . how much amount does r can earn per day ?	1physics
the cost price of a radio is rs . 1390 and it was sold for rs . 890 , find the loss % ?	2gain
two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 60 km / hr and 90 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?	1physics
a circular wire of radius 42 cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6 : 5 . the smaller side of the rectangle is :	3geometry
if 6 years are subtracted from the present age of arun and the remainder is divided by 18 , then the present age of his grandson gokul is obtained . if gokul is 2 years younger to madan whose age is 5 years , then what is the age of arun ?	0general
solve for the given equation 121 x 54 = ?	0general
in a ratio which is equal to 7 : 9 , if the antecedent is 42 , then the consequent is ?	5other
john has 10 pairs of matched socks . if he loses 11 individual socks , what is the greatest number of pairs of matched socks he can have left ?	0general
a meeting has to be conducted with 4 managers . find the number of ways in which the managers may be selected from among 7 managers , if there are 2 managers who refuse to attend the meeting together .	4probability
convert 100 inches into centimeter ?	1physics
nitin ranks 23 th in a class of 60 students . what is rank from the last ?	5other
in how many ways 4 boys and 1 girls can be seated in a row so that they are alternate .	4probability
{ - 10 , - 6 , - 5 , - 4 , - 2.5 , - 1 , 0 , 2.5 , 4 , 6 , 7 , 10 } a number is to be selected at random from the set above . what is the probability that the number will be a solution to the equation ( x 3 ) ( x + 14 ) ( 2 x + 5 ) = 0 ?	0general
the average of 10 numbers is 40.2 . later it is found that two numbers have been wrongly copied . the first is 19 greater than the actual number and the second number added is 13 instead of 31 . find the correct average .	0general
the side of a rhombus is 22 m and length of one of its diagonals is 16 m . the area of the rhombus is ?	3geometry
sonika bought a v . c . r . at the list price of 18,600 . if the rate of sales tax was 8 % , find the amount she had to pay for purchasing the v . c . r .	2gain
what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 7 , 24 and 25 ?	3geometry
if 20 machine can finish a job in 36 days , then how many more machines would be needed to finish the job in one - third less time ?	0general
suganya and suriya are partners in a business . suganya invests rs . 38,000 for 8 months and suriya invests rs . 40,000 for 10 months . out of a profit of rs . 31,570 . suganya ' s share is	2gain
suresh started a business , investing rs . 18000 . after 3 months and 4 months respectively , rohan and sudhir joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 3795 . what is the difference between rohan ’ s and sudhir ’ s share in the profit ?	2gain
for each 6 - month period during a light bulb ' s life span , the odds of it not burning out from over - use are half what they were in the previous 6 - month period . if the odds of a light bulb burning out during the first 6 - month period following its purchase are 1 / 3 , what are the odds of it burning out during the period from 6 months to 1 year following its purchase ?	0general
a grocer has a sale of rs . 5921 , rs . 5468 , rs . 5568 , rs . 6088 and rs . 6433 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5900 ?	0general
if x is real , find the maximum value of the expression - 2 x ^ 2 + 3 x + 5 .	0general
nelly made a part payment of $ 875 toward buying a brand new refrigerator , which represents 25 % of the total cost of the refrigerator , how much remains to be paid ?	0general
16 is what % of 90 ?	2gain
amar takes as much time in running 12 meters as a car takes in covering 45 meters . what will be the distance covered by amar during the time the car covers 1.4 km ?	1physics
how many 2 digit number contain number 3 ?	0general
the side of a square is increased by 15 % then how much % does its area increases ?	3geometry
marla starts running around a circular track at the same time nick starts walking around the same circular track . marla completes 28 laps around the track per hour and nick completes 13 laps around the track per hour . how many minutes after marla and nick begin moving will marla have completed 4 more laps around the track than nick ?	1physics
a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 14200 after a year ?	2gain
three coins are tossed . find the probability of at most 2 tails ?	4probability
when a certain number x is divided by 63 , the remainder is 25 . what is the remainder when x is divided by 8 ?	0general
the average of 25 results is 8 . the average of first 12 of them is 14 and that of last 12 is 17 . find the 13 result ?	0general
5.02 can be expressed in terms of percentage as	0general
x and y invested in a business . they earned some profit which they divided in the ratio of 1 : 2 . if x invested rs . 20,000 . the amount invested by y is	2gain
sari and ken climb up a mountain . at night , they camp together . on the day they are supposed to reach the summit , sari wakes up at 05 : 00 and starts climbing at a constant pace . ken starts climbing only at 07 : 00 , when sari is already 700 meters ahead of him . nevertheless , ken climbs at a constant pace of 500 meters per hour , and reaches the summit before sari . if sari is 50 meters behind ken when he reaches the summit , at what time did ken reach the summit ?	1physics
the mean of 50 observations was 36 . it was found later that an observation 48 was wrongly taken as 23 . the corrected new mean is ?	0general
it takes 3 workers a total of 12 hours to build a giant machine with each worker working at the same rate . if 4 workers start to build the machine at 11 : 00 am , and one extra worker per hour is added beginning at 3 : 00 pm , at what time will the machine be complete ?	0general
buffalo gives 4 liter milk , cow gives ( 1 / 2 ) liter milk and goat gives 1 / 4 liter milk . you have to get 20 liter milk by 20 animals . what is the number of cows ?	0general
claire has a total of 80 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 , band c can do a piece of work in 11 days , 45 days and 55 days respectively , working alone . how soon can the work be done if a is assisted by band c on alternate days ?	1physics
15 people can write 90 book in 20 days working 7 hour a day . then in how many day 240 can be written by 72 people ?	1physics
a number , x is chosen at random from the set of positive integers less than 10 . what is the probability that ( 7 / x ) > x ?	0general
a factory producing tennis balls stores them in either big boxes , 25 balls per box , or small boxes , with 17 balls per box . if 94 freshly manufactured balls are to be stored , what is the least number of balls that can be left unboxed ?	0general
what is x if x + 3 y = 33 and y = 10 ?	0general
a shopkeeper sold 50 articles at the cost price of 60 articles . then find the profit % or lost %	2gain
the owner of a furniture shop charges his customer 20 % more than the cost price . if a customer paid rs . 3000 for a computer table , then what was the cost price of the computer table ?	2gain
suresh can complete a job in 15 hours . ashutosh alone can complete the same job in 20 hours . suresh works for 9 hours and then the remaining job is completed by ashutosh . how many hours will it take ashutosh to complete the remaining job alone ?	1physics
sonika deposited rs . 9000 which amounted to rs . 10200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?	2gain
jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 85 . if jerry wants to raise his average by 3 points , what score must he earn on the fourth test ?	0general
a card game called “ high - low ” divides a deck of 52 playing cards into 2 types , “ high ” cards and “ low ” cards . there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points , while “ low ” cards are worth 1 point . if you draw cards one at a time , how many ways can you draw “ high ” and “ low ” cards to earn 4 points if you must draw exactly 2 “ low ” cards ?	0general
calculate how much time could be saved if the train would run at its usual speed , given that it ran at 4 / 9 of its own speed and got to its destination in 13 hours ?	1physics
the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.3 years . the ration of the number of boys to the number of girls in the class is ?	0general
a boy is travelling from his home to school at 6 km / hr and reached 7 min late . next day he travelled at 12 km / hr and reached 8 min early . distance between home and school ?	1physics
44 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be :	1physics
a boat can travel with a speed of 24 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 84 km downstream	1physics
if 75 % of a boys answered the first question on a certain test correctly , 55 % answered the second question on the test correctly , and 20 % answered neither of the questions correctly , what % answered both correctly ?	5other
the sum of ages of 5 children born at the intervals of 3 years each is 50 years . find out the age of the youngest child ?	0general
if the volume of two cubes are in the ratio 27 : 8 , the ratio of their edges is :	3geometry
a trained covered x km at 40 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 6 x km .	0general
mary works in a restaurant a maximum of 45 hours . for the first 20 hours , she is paid $ 8 per hour . for each overtime hour , she is paid at a rate which is 25 % higher than her regular rate . how much mary can earn in a week ?	2gain
a 20 % stock yielding 8 % is quoted at ?	2gain
two stations a and b are 110 km apart on a straight line . one train starts from a at 9 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ?	1physics
annie and sam set out together on bicycles traveling at 15 and 12 km per hour respectively . after 40 minutes , annie stops to fix a flat tire . if it takes annie 25 minutes to fix the flat tire and sam continues to ride during this time , how many minutes will it take annie to catch up with sam assuming that annie resumes riding at 15 km per hour ?	1physics
if 5 a = 3125 , then the value of 5 ( a - 3 ) is	0general
if the area of a circle is 100 pi square feet , find its circumference .	3geometry
a train of length 250 m runs at a speed of 70 km / hr . what will be the time taken to cross any stationary object standing at the railway station ?	1physics
two pipes a and b can fill a tank in 4 and 5 hours respectively . if they are turned up alternately for one hour each , the time taken to fill the tank is ?	1physics
if a ( a - 6 ) = 27 and b ( b - 6 ) = 27 , where a ≠ b , then a + b =	0general
when n is divided by 5 the remainder is 3 . what is the remainder when ( n - 1 ) ^ 2 is divided by 5 ?	0general
how many 1 / 12 s are there in 37 1 / 2 ?	0general
. the price of commodity p increases by 40 paise every year , while the price of commodity q increases by 15 paise every year . if in 2001 , the price of commodity p was rs . 4.20 and that of q was rs . 6.30 , in which year commodity p will cost 40 paise more than the commodity q ?	0general
a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound . she mixes peanuts worth $ 1.50 a pound with cashews worth $ 7.00 a pound . how many pounds of cashews must she use ?	0general
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 39 ?	0general
a rectangular region has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 800 square feet , what is the total length of the fence , in feet ?	3geometry
if a certain coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 6 times , what is the probability that it will land heads up on the first 3 flips but not on the last 3 flips ?	4probability
a merchant marks his goods up by 50 % and then offers a discount of 20 % on the marked price . what % profit does the merchant make after the discount ?	2gain
a number when divided by a divisor leaves a remainder of 27 . when twice the original number is divided by the same divisor , the remainder is 11 . what is the value of the divisor ?	0general
the triplicate ratio of 1 : 6 is ?	5other
for a race a distance of 224 meters can be covered by p in 14 seconds and q in 32 seconds . by what distance does p defeat q eventually ?	1physics
in an office , totally there are 2200 employees and 40 % of the total employees are males . 30 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ?	0general
the sum of ages of 5 children born at theintervals of 3 years each is 50 years . what is the age of the youngest child ?	0general
if jake loses 35 pounds , he will weigh thrice as much as his sister . together they now weigh 275 pounds . what is jake ' s present weight , in pounds ?	0general
pipe a fills a tank of capacity 900 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ?	1physics
how many even number in the range between 6 to 100 inclusive are not divisible by 3	0general
6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days z do they need to finish the same job ?	1physics
of the diplomats who attended a summit conference : 20 spoke latin , 32 did not speak russian and 20 % of the diplomats spoke neither latin nor russian . if 10 % of the diplomats spoke both latin and russian , then how many diplomats attended the conference ?	5other

a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 4 and b : c = 2 : 5 . if the total runs scored by all of them are 100 , the runs scored by b are ?

0general

if f ( x ) = 6 x ^ 4 - 4 x ^ 3 - 3 x ^ 2 + 6 x , then f ( - 1 ) =

0general

a train 820 m long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 min , then the length of the tunnel is ?

1physics

if 5 people contributed a total of $ 20.00 toward a gift and each of them contributed at least $ 3.00 , then the maximum possible amount any one person could have contributed is

0general

a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 8 less , he would have made a profit of 10 % . the c . p . of the article was

2gain

jacob is now 12 years younger than michael . if 11 years from now michael will be twice as old as jacob , how old will jacob be in 4 years ?

0general

the marks obtained by vijay and amith are in the ratio 2 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ?

5other

a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what percent e of the list price is the lowest possible sale price ?

0general

the area of a rectangular field is 144 m 2 . if the length had been 6 metres more , the area would have been 54 m 2 more . the original length of the field is

1physics

find a sum for 1 st 6 prime number ' s ?

0general

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

0general

45 x ? = 45 % of 900

0general

the average of first five multiples of 3 is ?

0general

p , q and r together earn rs . 1980 in 9 days . p and r can earn rs . 600 in 5 days . q and r in 7 days can earn rs . 910 . how much amount does r can earn per day ?

1physics

the cost price of a radio is rs . 1390 and it was sold for rs . 890 , find the loss % ?

2gain

two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 60 km / hr and 90 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?

1physics

a circular wire of radius 42 cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6 : 5 . the smaller side of the rectangle is :

3geometry

if 6 years are subtracted from the present age of arun and the remainder is divided by 18 , then the present age of his grandson gokul is obtained . if gokul is 2 years younger to madan whose age is 5 years , then what is the age of arun ?

0general

solve for the given equation 121 x 54 = ?

0general

in a ratio which is equal to 7 : 9 , if the antecedent is 42 , then the consequent is ?

5other

john has 10 pairs of matched socks . if he loses 11 individual socks , what is the greatest number of pairs of matched socks he can have left ?

0general

a meeting has to be conducted with 4 managers . find the number of ways in which the managers may be selected from among 7 managers , if there are 2 managers who refuse to attend the meeting together .

4probability

convert 100 inches into centimeter ?

1physics

nitin ranks 23 th in a class of 60 students . what is rank from the last ?

5other

in how many ways 4 boys and 1 girls can be seated in a row so that they are alternate .

4probability

{ - 10 , - 6 , - 5 , - 4 , - 2.5 , - 1 , 0 , 2.5 , 4 , 6 , 7 , 10 } a number is to be selected at random from the set above . what is the probability that the number will be a solution to the equation ( x 3 ) ( x + 14 ) ( 2 x + 5 ) = 0 ?

0general

the average of 10 numbers is 40.2 . later it is found that two numbers have been wrongly copied . the first is 19 greater than the actual number and the second number added is 13 instead of 31 . find the correct average .

0general

the side of a rhombus is 22 m and length of one of its diagonals is 16 m . the area of the rhombus is ?

3geometry

sonika bought a v . c . r . at the list price of 18,600 . if the rate of sales tax was 8 % , find the amount she had to pay for purchasing the v . c . r .

2gain

what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 7 , 24 and 25 ?

3geometry

if 20 machine can finish a job in 36 days , then how many more machines would be needed to finish the job in one - third less time ?

0general

suganya and suriya are partners in a business . suganya invests rs . 38,000 for 8 months and suriya invests rs . 40,000 for 10 months . out of a profit of rs . 31,570 . suganya ' s share is

2gain

suresh started a business , investing rs . 18000 . after 3 months and 4 months respectively , rohan and sudhir joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 3795 . what is the difference between rohan ’ s and sudhir ’ s share in the profit ?

2gain

for each 6 - month period during a light bulb ' s life span , the odds of it not burning out from over - use are half what they were in the previous 6 - month period . if the odds of a light bulb burning out during the first 6 - month period following its purchase are 1 / 3 , what are the odds of it burning out during the period from 6 months to 1 year following its purchase ?

0general

a grocer has a sale of rs . 5921 , rs . 5468 , rs . 5568 , rs . 6088 and rs . 6433 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5900 ?

0general

if x is real , find the maximum value of the expression - 2 x ^ 2 + 3 x + 5 .

0general

nelly made a part payment of $ 875 toward buying a brand new refrigerator , which represents 25 % of the total cost of the refrigerator , how much remains to be paid ?

0general

16 is what % of 90 ?

2gain

amar takes as much time in running 12 meters as a car takes in covering 45 meters . what will be the distance covered by amar during the time the car covers 1.4 km ?

1physics

how many 2 digit number contain number 3 ?

0general

the side of a square is increased by 15 % then how much % does its area increases ?

3geometry

marla starts running around a circular track at the same time nick starts walking around the same circular track . marla completes 28 laps around the track per hour and nick completes 13 laps around the track per hour . how many minutes after marla and nick begin moving will marla have completed 4 more laps around the track than nick ?

1physics

a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 14200 after a year ?

2gain

three coins are tossed . find the probability of at most 2 tails ?

4probability

when a certain number x is divided by 63 , the remainder is 25 . what is the remainder when x is divided by 8 ?

0general

the average of 25 results is 8 . the average of first 12 of them is 14 and that of last 12 is 17 . find the 13 result ?

0general

5.02 can be expressed in terms of percentage as

0general

x and y invested in a business . they earned some profit which they divided in the ratio of 1 : 2 . if x invested rs . 20,000 . the amount invested by y is

2gain

sari and ken climb up a mountain . at night , they camp together . on the day they are supposed to reach the summit , sari wakes up at 05 : 00 and starts climbing at a constant pace . ken starts climbing only at 07 : 00 , when sari is already 700 meters ahead of him . nevertheless , ken climbs at a constant pace of 500 meters per hour , and reaches the summit before sari . if sari is 50 meters behind ken when he reaches the summit , at what time did ken reach the summit ?

1physics

the mean of 50 observations was 36 . it was found later that an observation 48 was wrongly taken as 23 . the corrected new mean is ?

0general

it takes 3 workers a total of 12 hours to build a giant machine with each worker working at the same rate . if 4 workers start to build the machine at 11 : 00 am , and one extra worker per hour is added beginning at 3 : 00 pm , at what time will the machine be complete ?

0general

buffalo gives 4 liter milk , cow gives ( 1 / 2 ) liter milk and goat gives 1 / 4 liter milk . you have to get 20 liter milk by 20 animals . what is the number of cows ?

0general

claire has a total of 80 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 , band c can do a piece of work in 11 days , 45 days and 55 days respectively , working alone . how soon can the work be done if a is assisted by band c on alternate days ?

1physics

15 people can write 90 book in 20 days working 7 hour a day . then in how many day 240 can be written by 72 people ?

1physics

a number , x is chosen at random from the set of positive integers less than 10 . what is the probability that ( 7 / x ) > x ?

0general

a factory producing tennis balls stores them in either big boxes , 25 balls per box , or small boxes , with 17 balls per box . if 94 freshly manufactured balls are to be stored , what is the least number of balls that can be left unboxed ?

0general

what is x if x + 3 y = 33 and y = 10 ?

0general

a shopkeeper sold 50 articles at the cost price of 60 articles . then find the profit % or lost %

2gain

the owner of a furniture shop charges his customer 20 % more than the cost price . if a customer paid rs . 3000 for a computer table , then what was the cost price of the computer table ?

2gain

suresh can complete a job in 15 hours . ashutosh alone can complete the same job in 20 hours . suresh works for 9 hours and then the remaining job is completed by ashutosh . how many hours will it take ashutosh to complete the remaining job alone ?

1physics

sonika deposited rs . 9000 which amounted to rs . 10200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?

2gain

jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 85 . if jerry wants to raise his average by 3 points , what score must he earn on the fourth test ?

0general

a card game called “ high - low ” divides a deck of 52 playing cards into 2 types , “ high ” cards and “ low ” cards . there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points , while “ low ” cards are worth 1 point . if you draw cards one at a time , how many ways can you draw “ high ” and “ low ” cards to earn 4 points if you must draw exactly 2 “ low ” cards ?

0general

calculate how much time could be saved if the train would run at its usual speed , given that it ran at 4 / 9 of its own speed and got to its destination in 13 hours ?

1physics

the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.3 years . the ration of the number of boys to the number of girls in the class is ?

0general

a boy is travelling from his home to school at 6 km / hr and reached 7 min late . next day he travelled at 12 km / hr and reached 8 min early . distance between home and school ?

1physics

44 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be :

1physics

a boat can travel with a speed of 24 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 84 km downstream

1physics

if 75 % of a boys answered the first question on a certain test correctly , 55 % answered the second question on the test correctly , and 20 % answered neither of the questions correctly , what % answered both correctly ?

5other

the sum of ages of 5 children born at the intervals of 3 years each is 50 years . find out the age of the youngest child ?

0general

if the volume of two cubes are in the ratio 27 : 8 , the ratio of their edges is :

3geometry

a trained covered x km at 40 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 6 x km .

0general

mary works in a restaurant a maximum of 45 hours . for the first 20 hours , she is paid $ 8 per hour . for each overtime hour , she is paid at a rate which is 25 % higher than her regular rate . how much mary can earn in a week ?

2gain

a 20 % stock yielding 8 % is quoted at ?

2gain

two stations a and b are 110 km apart on a straight line . one train starts from a at 9 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ?

1physics

annie and sam set out together on bicycles traveling at 15 and 12 km per hour respectively . after 40 minutes , annie stops to fix a flat tire . if it takes annie 25 minutes to fix the flat tire and sam continues to ride during this time , how many minutes will it take annie to catch up with sam assuming that annie resumes riding at 15 km per hour ?

1physics

if 5 a = 3125 , then the value of 5 ( a - 3 ) is

0general

if the area of a circle is 100 pi square feet , find its circumference .

3geometry

a train of length 250 m runs at a speed of 70 km / hr . what will be the time taken to cross any stationary object standing at the railway station ?

1physics

two pipes a and b can fill a tank in 4 and 5 hours respectively . if they are turned up alternately for one hour each , the time taken to fill the tank is ?

1physics

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

0general

when n is divided by 5 the remainder is 3 . what is the remainder when ( n - 1 ) ^ 2 is divided by 5 ?

0general

how many 1 / 12 s are there in 37 1 / 2 ?

0general

. the price of commodity p increases by 40 paise every year , while the price of commodity q increases by 15 paise every year . if in 2001 , the price of commodity p was rs . 4.20 and that of q was rs . 6.30 , in which year commodity p will cost 40 paise more than the commodity q ?

0general

a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound . she mixes peanuts worth $ 1.50 a pound with cashews worth $ 7.00 a pound . how many pounds of cashews must she use ?

0general

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 39 ?

0general

a rectangular region has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 800 square feet , what is the total length of the fence , in feet ?

3geometry

if a certain coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 6 times , what is the probability that it will land heads up on the first 3 flips but not on the last 3 flips ?

4probability

a merchant marks his goods up by 50 % and then offers a discount of 20 % on the marked price . what % profit does the merchant make after the discount ?

2gain

a number when divided by a divisor leaves a remainder of 27 . when twice the original number is divided by the same divisor , the remainder is 11 . what is the value of the divisor ?

0general

the triplicate ratio of 1 : 6 is ?

5other

for a race a distance of 224 meters can be covered by p in 14 seconds and q in 32 seconds . by what distance does p defeat q eventually ?

1physics

in an office , totally there are 2200 employees and 40 % of the total employees are males . 30 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ?

0general

the sum of ages of 5 children born at theintervals of 3 years each is 50 years . what is the age of the youngest child ?

0general

if jake loses 35 pounds , he will weigh thrice as much as his sister . together they now weigh 275 pounds . what is jake ' s present weight , in pounds ?

0general

pipe a fills a tank of capacity 900 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ?

1physics

how many even number in the range between 6 to 100 inclusive are not divisible by 3

0general

6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days z do they need to finish the same job ?

1physics

of the diplomats who attended a summit conference : 20 spoke latin , 32 did not speak russian and 20 % of the diplomats spoke neither latin nor russian . if 10 % of the diplomats spoke both latin and russian , then how many diplomats attended the conference ?

5other