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

Problem stringlengths 5 967	category class label 6 classes
if x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year , the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $ 92 . if $ 2000 is the total amount invested , how much is invested at 8 percent ?	0general
four 6 faced dice are thrown together . the probability that all the four show the same number on them is ?	4probability
the tax on a commodity is diminished by 10 % and its consumption increased by 25 % . the effect on revenue is ?	0general
a man ’ s wages were decreased by 50 % . again , the reduced wages were increased by 50 % . he has a loss of ?	2gain
a cubical block of metal weighs 7 pounds . how much will another cube of the same metal weigh if its sides are twice as long ?	3geometry
two cubes of their volumes in the ratio 8 : 125 . the ratio of their surface area is :	3geometry
find the compound ratio of ( 4 : 3 ) , ( 1 : 3 ) and ( 2 : 3 ) is	5other
a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 19 seconds . what is the length of the platform in meters ?	1physics
a batsman scored 140 runs which included 3 boundaries and 8 sixes . what percent of his total score did he make by running between the wickets ?	0general
an escalator moves towards the top level at the rate of 11 ft . sec and its length is 140 feet . if a person walks on the moving escalator at the rate of 3 feet per second towards the top level , how much time does he take to cover the entire length .	2gain
for how many unique pairs of nonnegative integers { a , b } is the equation a ^ 2 - b ^ 2 = 25 true ?	0general
set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 8 , while all other numbers remain the same , what is the new average of set s ?	0general
14 men can complete a piece of work in 32 days . in how many days can 16 men complete that piece of work ?	1physics
a work crew of 7 men takes 10 days to complete one - half of a job . if 8 men are then added to the crew and the men continue to work at the same rate , how many days will it take the enlarged crew to do the rest of the job ?	1physics
a train running at the speed of 90 km / hr crosses a pole in 6 seconds . what is the length of the train ?	1physics
the angle of elevation of a ladder leaning against a wall is 60 ° and the foot of the ladder is 4.6 m away from the wall . the length of the ladder is	1physics
in a certain egg - processing plant , every egg must be inspected , and is either accepted for processing or rejected . for every 96 eggs accepted for processing , 4 eggs are rejected . if , on a particular day , 12 additional eggs were accepted , but the overall number of eggs inspected remained the same , the ratio of those accepted to those rejected would be 99 to 1 . how many t eggs does the plant process per day ?	0general
the sale price sarees listed for rs . 510 after successive discount is 12 % and 15 % is ?	2gain
the present population of a town is 3456 . population increase rate is 20 % p . a . find the population of town before 2 years ?	2gain
the distance from city a to city b is 150 miles . while driving from city a to city b , cara drives at a constant speed of 30 miles per hour . dan leaves city a 90 minutes after cara . what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?	1physics
the interest on a certain deposit at 4.5 % p . a . is rs . 202.50 in one year . how much will the additional interest in one year be on the same deposit at 5 % p . a . ?	2gain
if a ( a - 4 ) = 12 and b ( b - 4 ) = 12 , where a ≠ b , then a + b =	0general
what percent of 60 is 120 ?	2gain
the price of commodity x increases by 45 cents every year , while the price of commodity y increases by 20 cents every year . in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 6.30 . in which year will the price of commodity x be 65 cents more than the price of commodity y ?	0general
the number of timeshare condos available at sunset beach is 3 / 5 the number of timeshare condos available at playa del mar . if the total number of timeshare condos available at the two beaches combined is 400 , what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar ?	0general
a train leaves delhi at 9 a . m . at a speed of 30 kmph . another train leaves at 3 p . m . at a speed of 40 kmph on the same day and in the same direction . how far from delhi , will the two trains meet ?	1physics
when a merchant imported a certain item , she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000 . if the amount of the import tax that the merchant paid was $ 112.70 , what was the total value of the item ?	0general
compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 300 grams of compound x ?	5other
find the cost of fencing around a circular field of diameter 26 m at the rate of rs . 1.50 a meter ?	1physics
a can give b a start of 50 metres or 10 seconds in a kilometer race . how long does a take to complete the race ?	1physics
what is the remainder when 43717 ^ ( 43628233 ) is divided by 5 ?	0general
last year sandy saved 6 % of her annual salary . this year , she made 10 % more money than last year , and she saved 10 % of her salary . the amount saved this year was what percent of the amount she saved last year ?	2gain
if 10 litres of an oil of rs . 50 per litres be mixed with 5 litres of another oil of rs . 68 per litre then what is the rate of mixed oil per litre ?	2gain
a broker invested her own money in the stock market . during the first year , she increased her stock market wealth by 90 percent . in the second year , largely as a result of a slump in the stock market , she suffered a 50 percent decrease in the value of her stock investments . what was the net increase or decrease on her overall stock investment wealth by the end of the second year ?	2gain
what least number should be added to 1056 , so that the sum is completely divisible by 23	0general
the average temperature for tuesday , wednesday and thursday was 52 ° c . the average temperature for wednesday , thursday and friday was 54 ° c . if the temperature on friday be 53 ° c , what was the temperature on tuesday ?	1physics
the smallest number which when diminished by 6 , is divisible by 12 , 16 , 18 , 21 and 28 is	0general
the true discount on a bill due 9 months hence at 16 % per annum is rs . 240 . the amount of the bill is	2gain
instead of multiplying a number by 3 , the number is divided by 5 . what is the percentage of error obtained ?	0general
a man sold 18 toys for rs . 23100 , gaining thereby the cost price of 3 toy find the cost price of a toy	2gain
if ( a – b ) is 17 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ) , then ( a – c ) is :	0general
in an objective competitive exam , a correct answer score 4 marks and on a wrong answer 2 marks are negatively added . a student scores 420 marks from 150 question . how many answers were correct ?	0general
in a division , divident is 690 , divisior is 36 and quotient is 19 . find the remainder .	0general
running at their respective constant rates , machine x takes 2 days longer to produce w widgets than machine y . at these rates , if the two machines together produce 5 / 4 w widgets in 3 days , how many days would it take machine x alone to produce 4 w widgets ?	0general
a car traveled 75 % of the way from town a to town b at an average speed of 50 miles per hour . the car travels at an average speed of s miles per hour for the remaining part of the trip . the average speed for the entire trip was 50 miles per hour . what is s ?	1physics
excluding stoppages , the average speed of a bus is 60 km / hr and including stoppages , the average speed of the bus is 30 km / hr . for how many minutes does the bus stop per hour ?	0general
if a + b + c = 13 , then find the ab + bc + ca :	0general
indu gave bindu rs . 6250 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?	2gain
if log 102 = 0.3010 , what is the value of log 101600 ?	5other
a man can row his boat with the stream at 16 km / h and against the stream in 12 km / h . the man ' s rate is ?	2gain
if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 20 % of m is equal to what percent of 200 % of j ?	2gain
a library has an average of 570 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is :	0general
in a room filled with 7 people , 1 people have exactly 1 sibling in the room and 6 people have exactly 2 siblings in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ?	0general
the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 676 feet squared , what is the difference between the length and the width of the roof ?	3geometry
the area of a rectangular plot is 360 square metres . if the length is 25 % less than the breadth , what is the breadth of the plot ?	3geometry
a 60 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?	1physics
one week , a certain truck rental lot had a total of 24 trucks , all of which were on the lot monday morning . if 50 % of the trucks that were rented out during the week were returned to the lot on or before saturday morning of that week , and if there were at least 12 trucks on the lot that saturday morning , what is the greatest number of different trucks that could have been rented out during the week ?	0general
if two projectiles are launched at the same moment from 1455 km apart and travel directly towards each other at 470 km per hour and 500 km per hour respectively , how many minutes will it take for them to meet ?	1physics
if the least common addition of two prime numbers x and y is 36 , where x < y , then the value of 4 x + y is	0general
a man can do a job in 10 days . his father takes 20 days and his son finishes it in 25 days . how long will they take to complete the job if they all work together ?	1physics
a train 2500 m long can cross an electric pole in 50 sec and then find the speed of the train ?	1physics
a semicircle has a radius of 14 . what is the approximate perimeter of the semicircle ?	3geometry
the average of 25 results is 24 . the average of first 12 of those is 14 and the average of last 12 is 17 . what is the 13 th result ?	0general
a starts business with rs . 4500 and after 7 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b â € ™ s contribution in the capital ?	5other
the average of 6 no . ' s is 3.95 . the average of 2 of them is 3.4 , while the average of theother 2 is 3.85 . what is the average of the remaining 2 no ' s ?	0general
some persons can do a piece of work in 12 days . two times the number of such persons will do half of that work in	1physics
find the number of zero ’ s in 173 ! ( 173 factorial ) ?	5other
270 ã · ? ã — 15 + 270 = 405	0general
what is the sum of the odd integers from 55 to 65 , inclusive ?	0general
the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 6 minutes , then the area of the park ( in sq . m ) is	1physics
when a person aged 39 is added to a group of n people , the average age increases by 2 . when a person aged 15 is added instead , the average age decreases by 1 . what is the value of e ?	0general
the present age of a father is 3 years more than 3 times the age of his son . 3 years hence , father as age will be 8 years more than twice the age of the son . find the present age of the father .	0general
the “ length of integer x ” refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 × 2 × 3 × 5 . ) what is the greatest possible length of integer z if z < 2500 ?	0general
in measuring the sides of a rectangle , one side is taken 6 % in excess , and the other 5 % in deficit . find the error percent in the area calculated from these measurements .	3geometry
a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof . what could be the weight in grams of a package for which the charge is $ 1.95 ?	0general
if the diameter of circle r is 50 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ?	3geometry
a can do a piece of work in 9 days . when he had worked for 2 days b joins him . if the complete work was finished in 8 days . in how many days b alone can finish the work ?	1physics
john ' s bank ' s saving amount is decreased 50 % due to loan payment and current balance is rs . 50000 . find the actual balance before deduction ?	2gain
a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 192 , how many hours overtime did he work ?	1physics
if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 294 , what is the least possible value of n ?	0general
excluding stoppages , the speed of a train is 55 kmph and including stoppages it is 40 kmph . of how many minutes does the train stop per hour ?	1physics
a train travels 210 km in 3 hours and 270 km in 4 hours . find the average speed of train .	1physics
15 - 2 + 4 ÷ 1 / 2 × 8 = ?	0general
the difference between the compound interest and simple interest on a certain sum at 20 % per annum for 2 years is $ 500 . find the sum ?	2gain
the length of a rectangular garden is three times its width . if the area of the rectangular garden is 432 square meters , then what is the width of the rectangular garden ?	3geometry
the mean of 50 observations was 39 . it was found later that an observation 48 was wrongly taken as 23 . the corrected new mean is	0general
when positive integer n is divided by 2 , the remainder is 1 . when n is divided by 7 , the remainder is 5 . what is the smallest positive integer p , such that ( n + p ) is a multiple of 10 ?	0general
how many odd factors does 160 have ?	5other
the length of a rectangle is doubled while its width is tripled . what is the % change in area ?	3geometry
there were totally 100 men . 81 are married . 75 have t . v , 85 have radio , 70 have a . c . how many men have t . v , radio , a . c and also married ?	0general
nicky and cristina are running a 400 meter race . since cristina is faster than nicky , she gives him a 12 second head start . if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?	1physics
a mixture of 70 liters of wine and water contains 10 % water . how much water must be added to make water 12 ½ % of the total mixture ?	0general
danny and steve are running towards each other , each one from his own house . danny can reach steve ' s house in 35 minutes of running , which is half the time it takes steve to reach danny ' s house . if the two started to run at the same time , how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?	1physics
a vessel of capacity 2 litre has 20 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?	0general
in a kilometer race , a beats b by 60 meters or 10 seconds . what time does a take to complete the race ?	1physics
the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 120 metres ?	1physics
the perimeter of one face of a cube is 24 cm . its volume will be :	3geometry
when a train moves at an average speed of 100 kmph it reaches its destination on time . when its average speed becomes 80 kmph , then it reaches its destination 20 minutes late . find the length of journey rounded to two decimal places .	1physics
a certain bacteria colony doubles in size every day for 20 days , at which point it reaches the limit of its habitat and can no longer grow . if two bacteria colonies start growing simultaneously , how many days will it take them to reach the habitat ’ s limit ?	1physics
julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 120 and $ 126 from the simple interest account and the compound interest account respectively . if the interest rates for both accounts were the same , what was the amount of julie ' s initial savings ?	2gain

if x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year , the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $ 92 . if $ 2000 is the total amount invested , how much is invested at 8 percent ?

0general

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

4probability

the tax on a commodity is diminished by 10 % and its consumption increased by 25 % . the effect on revenue is ?

0general

a man ’ s wages were decreased by 50 % . again , the reduced wages were increased by 50 % . he has a loss of ?

2gain

a cubical block of metal weighs 7 pounds . how much will another cube of the same metal weigh if its sides are twice as long ?

3geometry

two cubes of their volumes in the ratio 8 : 125 . the ratio of their surface area is :

3geometry

find the compound ratio of ( 4 : 3 ) , ( 1 : 3 ) and ( 2 : 3 ) is

5other

a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 19 seconds . what is the length of the platform in meters ?

1physics

a batsman scored 140 runs which included 3 boundaries and 8 sixes . what percent of his total score did he make by running between the wickets ?

0general

an escalator moves towards the top level at the rate of 11 ft . sec and its length is 140 feet . if a person walks on the moving escalator at the rate of 3 feet per second towards the top level , how much time does he take to cover the entire length .

2gain

for how many unique pairs of nonnegative integers { a , b } is the equation a ^ 2 - b ^ 2 = 25 true ?

0general

set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 8 , while all other numbers remain the same , what is the new average of set s ?

0general

14 men can complete a piece of work in 32 days . in how many days can 16 men complete that piece of work ?

1physics

a work crew of 7 men takes 10 days to complete one - half of a job . if 8 men are then added to the crew and the men continue to work at the same rate , how many days will it take the enlarged crew to do the rest of the job ?

1physics

a train running at the speed of 90 km / hr crosses a pole in 6 seconds . what is the length of the train ?

1physics

the angle of elevation of a ladder leaning against a wall is 60 ° and the foot of the ladder is 4.6 m away from the wall . the length of the ladder is

1physics

in a certain egg - processing plant , every egg must be inspected , and is either accepted for processing or rejected . for every 96 eggs accepted for processing , 4 eggs are rejected . if , on a particular day , 12 additional eggs were accepted , but the overall number of eggs inspected remained the same , the ratio of those accepted to those rejected would be 99 to 1 . how many t eggs does the plant process per day ?

0general

the sale price sarees listed for rs . 510 after successive discount is 12 % and 15 % is ?

2gain

the present population of a town is 3456 . population increase rate is 20 % p . a . find the population of town before 2 years ?

2gain

the distance from city a to city b is 150 miles . while driving from city a to city b , cara drives at a constant speed of 30 miles per hour . dan leaves city a 90 minutes after cara . what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?

1physics

the interest on a certain deposit at 4.5 % p . a . is rs . 202.50 in one year . how much will the additional interest in one year be on the same deposit at 5 % p . a . ?

2gain

if a ( a - 4 ) = 12 and b ( b - 4 ) = 12 , where a ≠ b , then a + b =

0general

what percent of 60 is 120 ?

2gain

the price of commodity x increases by 45 cents every year , while the price of commodity y increases by 20 cents every year . in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 6.30 . in which year will the price of commodity x be 65 cents more than the price of commodity y ?

0general

the number of timeshare condos available at sunset beach is 3 / 5 the number of timeshare condos available at playa del mar . if the total number of timeshare condos available at the two beaches combined is 400 , what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar ?

0general

a train leaves delhi at 9 a . m . at a speed of 30 kmph . another train leaves at 3 p . m . at a speed of 40 kmph on the same day and in the same direction . how far from delhi , will the two trains meet ?

1physics

when a merchant imported a certain item , she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000 . if the amount of the import tax that the merchant paid was $ 112.70 , what was the total value of the item ?

0general

compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 300 grams of compound x ?

5other

find the cost of fencing around a circular field of diameter 26 m at the rate of rs . 1.50 a meter ?

1physics

a can give b a start of 50 metres or 10 seconds in a kilometer race . how long does a take to complete the race ?

1physics

what is the remainder when 43717 ^ ( 43628233 ) is divided by 5 ?

0general

last year sandy saved 6 % of her annual salary . this year , she made 10 % more money than last year , and she saved 10 % of her salary . the amount saved this year was what percent of the amount she saved last year ?

2gain

if 10 litres of an oil of rs . 50 per litres be mixed with 5 litres of another oil of rs . 68 per litre then what is the rate of mixed oil per litre ?

2gain

a broker invested her own money in the stock market . during the first year , she increased her stock market wealth by 90 percent . in the second year , largely as a result of a slump in the stock market , she suffered a 50 percent decrease in the value of her stock investments . what was the net increase or decrease on her overall stock investment wealth by the end of the second year ?

2gain

what least number should be added to 1056 , so that the sum is completely divisible by 23

0general

the average temperature for tuesday , wednesday and thursday was 52 ° c . the average temperature for wednesday , thursday and friday was 54 ° c . if the temperature on friday be 53 ° c , what was the temperature on tuesday ?

1physics

the smallest number which when diminished by 6 , is divisible by 12 , 16 , 18 , 21 and 28 is

0general

the true discount on a bill due 9 months hence at 16 % per annum is rs . 240 . the amount of the bill is

2gain

instead of multiplying a number by 3 , the number is divided by 5 . what is the percentage of error obtained ?

0general

a man sold 18 toys for rs . 23100 , gaining thereby the cost price of 3 toy find the cost price of a toy

2gain

if ( a – b ) is 17 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ) , then ( a – c ) is :

0general

in an objective competitive exam , a correct answer score 4 marks and on a wrong answer 2 marks are negatively added . a student scores 420 marks from 150 question . how many answers were correct ?

0general

in a division , divident is 690 , divisior is 36 and quotient is 19 . find the remainder .

0general

running at their respective constant rates , machine x takes 2 days longer to produce w widgets than machine y . at these rates , if the two machines together produce 5 / 4 w widgets in 3 days , how many days would it take machine x alone to produce 4 w widgets ?

0general

a car traveled 75 % of the way from town a to town b at an average speed of 50 miles per hour . the car travels at an average speed of s miles per hour for the remaining part of the trip . the average speed for the entire trip was 50 miles per hour . what is s ?

1physics

excluding stoppages , the average speed of a bus is 60 km / hr and including stoppages , the average speed of the bus is 30 km / hr . for how many minutes does the bus stop per hour ?

0general

if a + b + c = 13 , then find the ab + bc + ca :

0general

indu gave bindu rs . 6250 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?

2gain

if log 102 = 0.3010 , what is the value of log 101600 ?

5other

a man can row his boat with the stream at 16 km / h and against the stream in 12 km / h . the man ' s rate is ?

2gain

if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 20 % of m is equal to what percent of 200 % of j ?

2gain

a library has an average of 570 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is :

0general

in a room filled with 7 people , 1 people have exactly 1 sibling in the room and 6 people have exactly 2 siblings in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ?

0general

the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 676 feet squared , what is the difference between the length and the width of the roof ?

3geometry

the area of a rectangular plot is 360 square metres . if the length is 25 % less than the breadth , what is the breadth of the plot ?

3geometry

a 60 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?

1physics

one week , a certain truck rental lot had a total of 24 trucks , all of which were on the lot monday morning . if 50 % of the trucks that were rented out during the week were returned to the lot on or before saturday morning of that week , and if there were at least 12 trucks on the lot that saturday morning , what is the greatest number of different trucks that could have been rented out during the week ?

0general

if two projectiles are launched at the same moment from 1455 km apart and travel directly towards each other at 470 km per hour and 500 km per hour respectively , how many minutes will it take for them to meet ?

1physics

if the least common addition of two prime numbers x and y is 36 , where x < y , then the value of 4 x + y is

0general

a man can do a job in 10 days . his father takes 20 days and his son finishes it in 25 days . how long will they take to complete the job if they all work together ?

1physics

a train 2500 m long can cross an electric pole in 50 sec and then find the speed of the train ?

1physics

a semicircle has a radius of 14 . what is the approximate perimeter of the semicircle ?

3geometry

the average of 25 results is 24 . the average of first 12 of those is 14 and the average of last 12 is 17 . what is the 13 th result ?

0general

a starts business with rs . 4500 and after 7 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b â € ™ s contribution in the capital ?

5other

the average of 6 no . ' s is 3.95 . the average of 2 of them is 3.4 , while the average of theother 2 is 3.85 . what is the average of the remaining 2 no ' s ?

0general

some persons can do a piece of work in 12 days . two times the number of such persons will do half of that work in

1physics

find the number of zero ’ s in 173 ! ( 173 factorial ) ?

5other

270 ã · ? ã — 15 + 270 = 405

0general

what is the sum of the odd integers from 55 to 65 , inclusive ?

0general

the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 6 minutes , then the area of the park ( in sq . m ) is

1physics

when a person aged 39 is added to a group of n people , the average age increases by 2 . when a person aged 15 is added instead , the average age decreases by 1 . what is the value of e ?

0general

the present age of a father is 3 years more than 3 times the age of his son . 3 years hence , father as age will be 8 years more than twice the age of the son . find the present age of the father .

0general

the “ length of integer x ” refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 × 2 × 3 × 5 . ) what is the greatest possible length of integer z if z < 2500 ?

0general

in measuring the sides of a rectangle , one side is taken 6 % in excess , and the other 5 % in deficit . find the error percent in the area calculated from these measurements .

3geometry

a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof . what could be the weight in grams of a package for which the charge is $ 1.95 ?

0general

if the diameter of circle r is 50 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ?

3geometry

a can do a piece of work in 9 days . when he had worked for 2 days b joins him . if the complete work was finished in 8 days . in how many days b alone can finish the work ?

1physics

john ' s bank ' s saving amount is decreased 50 % due to loan payment and current balance is rs . 50000 . find the actual balance before deduction ?

2gain

a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 192 , how many hours overtime did he work ?

1physics

if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 294 , what is the least possible value of n ?

0general

excluding stoppages , the speed of a train is 55 kmph and including stoppages it is 40 kmph . of how many minutes does the train stop per hour ?

1physics

a train travels 210 km in 3 hours and 270 km in 4 hours . find the average speed of train .

1physics

15 - 2 + 4 ÷ 1 / 2 × 8 = ?

0general

the difference between the compound interest and simple interest on a certain sum at 20 % per annum for 2 years is $ 500 . find the sum ?

2gain

the length of a rectangular garden is three times its width . if the area of the rectangular garden is 432 square meters , then what is the width of the rectangular garden ?

3geometry

the mean of 50 observations was 39 . it was found later that an observation 48 was wrongly taken as 23 . the corrected new mean is

0general

when positive integer n is divided by 2 , the remainder is 1 . when n is divided by 7 , the remainder is 5 . what is the smallest positive integer p , such that ( n + p ) is a multiple of 10 ?

0general

how many odd factors does 160 have ?

5other

the length of a rectangle is doubled while its width is tripled . what is the % change in area ?

3geometry

there were totally 100 men . 81 are married . 75 have t . v , 85 have radio , 70 have a . c . how many men have t . v , radio , a . c and also married ?

0general

nicky and cristina are running a 400 meter race . since cristina is faster than nicky , she gives him a 12 second head start . if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?

1physics

a mixture of 70 liters of wine and water contains 10 % water . how much water must be added to make water 12 ½ % of the total mixture ?

0general

danny and steve are running towards each other , each one from his own house . danny can reach steve ' s house in 35 minutes of running , which is half the time it takes steve to reach danny ' s house . if the two started to run at the same time , how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?

1physics

a vessel of capacity 2 litre has 20 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?

0general

in a kilometer race , a beats b by 60 meters or 10 seconds . what time does a take to complete the race ?

1physics

the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 120 metres ?

1physics

the perimeter of one face of a cube is 24 cm . its volume will be :

3geometry

when a train moves at an average speed of 100 kmph it reaches its destination on time . when its average speed becomes 80 kmph , then it reaches its destination 20 minutes late . find the length of journey rounded to two decimal places .

1physics

a certain bacteria colony doubles in size every day for 20 days , at which point it reaches the limit of its habitat and can no longer grow . if two bacteria colonies start growing simultaneously , how many days will it take them to reach the habitat ’ s limit ?

1physics

julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 120 and $ 126 from the simple interest account and the compound interest account respectively . if the interest rates for both accounts were the same , what was the amount of julie ' s initial savings ?

2gain