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

Problem stringlengths 5 967	category class label 6 classes
which number can we add to 987654 to get a number exactly divisible by 456 ?	0general
if 25 % of a number is subtracted from a second number , the second number reduces to its 4 - sixth . what is the ratio of the first number to the second number ?	0general
the weight of a glass of jar is 10 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ?	2gain
the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of rs . 800 per sq . metre .	1physics
the sum of the even numbers between 1 and n is 105 * 106 , where n is an odd number , then n = ?	0general
in township k each property is taxed at 8 percent of its assessed value . if the assessed value of a property in township k is increased from $ 20,000 to $ 24,000 , by how much will the property tax increase ?	0general
o mow a grass field a team of mowers planned to cover 15 hectares a day . after 4 working days they increased the daily productivity by 33 × 13 % 33 × 13 % , and finished the work 1 day earlier than it was planned . a ) what is the area of the grass field ? b ) how many days did it take to mow the whole field ? c ) how many days were scheduled initially for this job ?	0general
if ( 20 ) ² is subtracted from the square of a number , the answer so obtained is 4321 . what is the number ?	3geometry
how many integers between 1 and 10 ^ 17 are such that the sum of their digits is 2 ?	0general
excluding stoppages , the speed of a bus is 60 kmph and including stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ?	1physics
the average monthly income of p and q is rs . 5050 . the average monthly income of q and r is rs . 6250 and the average monthly income of p and r is rs . 5200 . the monthly income of p is :	0general
if ( 1 / 2 ) ^ 23 ( 1 / 81 ) ^ k = 1 / 18 ^ 23 , then k =	0general
the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day . during the first 7 days , his average wages was $ 87 per day and the average wages during the last 7 days was $ 90 per day . what was his wage on the 8 th day ?	1physics
a vendor bought toffees at 6 for a rupee . how many for a rupee must he sell to gain 80 % ?	2gain
find the average of all the numbers between 11 and 34 which are divisible by 10 ?	0general
a certain company expects quarterly earnings of $ 0.80 per share of stock , half of which will be distributed as dividends to shareholders while the rest will be used for research and development . if earnings are greater than expected , shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings . if quarterly earnings are $ 1.10 per share , what will be the dividend paid to a person who owns 400 shares of the company ' s stock ?	0general
the content of several smaller cylinders ( 3 meter diameter and 6 meter height ) were to be emptied into a larger cylinder ( 20 meter diameter and 10 meter height ) , how many smaller cylinders will fill up the larger cylinder ?	3geometry
if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 840 , what is the least possible value of n ?	0general
among all sales staff at listco corporation , college graduates and those without college degrees are equally represented . each sales staff member is either a level - 1 or level - 2 employee . level - 1 college graduates account for 10 % of listco ' s sales staff . listco employs 72 level - 1 employees , 30 of whom are college graduates . how many sales staff members without college degrees are level - 2 employees ?	0general
a semicircle has a radius of 9 . what is the approximate perimeter of the semicircle ?	3geometry
a can do piece of work in 15 days and b in 20 days they finished the work with the assistance of c in 5 days and got rs . 45 as their wages find the share for each in wages ?	1physics
if the average ( arithmetic mean ) of a and b is 210 , and the average of b and c is 160 , what is the value of a − c ?	0general
calculate 469158 x 9999 = ?	0general
33 1 / 3 % of 210 ?	2gain
on a certain transatlantic crossing , 20 percent of a ship ' s passengers held round - trip tickets and also took their cars abroad the ship . if 40 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ' s passengers held round - trip tickets ?	2gain
a man has some hens and cows . if the number of heads be 48 and the number of feet equals 136 , then the number of hens will be :	0general
hillary and eddy are climbing to the summit of mt . everest from a base camp 5,100 ft from the summit . when they depart for the summit at 06 : 00 , hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr . if hillary stops 1100 ft short of the summit and then descends at a rate of 1,000 ft / hr , at what time do hillary and eddy pass each other on her return trip ?	0general
an error 6 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is	2gain
a train 360 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 190 m long ?	1physics
in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder . the dividend is :	0general
a man is 22 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is	0general
a train 55 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?	1physics
how long will a boy take to run round a square field of side 60 meters , if he runs at the rate of 12 km / hr ?	2gain
in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 6 eggs . if the cost of each pound of rice is $ 0.24 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ]	0general
murali travelled from city a to city b at a speed of 40 kmph and from city b to city c at 60 kmph . what is the average speed of murali from a to c given that the ratio of distances between a to b and b to c is 1 : 2 ? a . 48 kmph	1physics
a ’ s speed is 30 / 17 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ?	0general
a cycle is bought for rs . 670 and sold for rs . 780 , find the gain percent ?	2gain
the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 22 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ?	0general
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 20.65 % . what would have been the percentage of profit earned if no discount was offered ?	2gain
two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 90 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?	1physics
john was thrice as old as tom 6 years ago . john will be 7 / 5 times as old as tom in 6 years . how old is tom today ?	0general
workers at a campaign office have 2000 fliers to send out . if they send out 1 / 10 of them in the morning and 1 / 4 of the remaining ones out during the afternoon , how many are left for the next day ?	1physics
three pipes a , b and c can fill a tank from empty to full in 20 minutes , 20 minutes and 30 minutes respectively . when the tank is empty , all the three pipes are opened . a , b and c discharge chemical solutions p , q and r respectively . what is the proportion of solution q in the liquid in the tank after 3 minutes ?	1physics
when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 5 ] * [ 4 ] = ?	0general
765 chairs are to be arranged in a column in such a way that the number of chairs in each column should be equal to the columns . how many chairs will be excluded to make this arrangement possible ?	0general
a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 40 percent .	1physics
if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 11 % per annum then the gain of b in a period of 3 years is ?	2gain
x and y began business with rs . 10000 and rs . 8000 after 6 months , x advances rs . 2000 and y advances rs . 2000 more . at the end of the year , their profits amounted to rs . 2000 find the share of x and y respectively .	0general
in a group of ducks and cows , the total number of legs are 30 more than twice the no . of heads . find the total no . of buffaloes .	0general
the l . c . m of two numbers is 48 . the numbers are in the ratio 1 : 2 . the sum of numbers is :	5other
a certain fraction has the same ratio to 1 / 36 , as 4 / 7 does to 5 / 9 . what is this certain fraction ?	5other
there are 780 male and female participants in a meeting . half the female participants and one - quarter of the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ?	0general
two goods trains each 2000 m long are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?	1physics
what sum of money will produce rs . 70 as simple interest in 4 years at 3 1 / 2 percent ?	2gain
a man is 34 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ?	0general
a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 130 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?	0general
a train running at a speed of 36 km / h passes an electric pole in 14 seconds . in how many seconds will the whole train pass a 360 - meter long platform ?	1physics
if n is a positive integer and n ^ 2 is divisible by 72 , then the largest positive integer m that must divide n is ?	0general
a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 27 m * 2 m * 0.75 m ?	1physics
one - fourth of the workers in palabras bookstore have read the latest book by j . saramago , and 5 / 8 of the workers have read the latest book by h . kureishi . the number of workers that have read neither book is one less than the number of the workers that have read the latest saramago book and have not read the latest kureishi book . if there are 72 workers in the palabras bookstore , how many of them have read both books ?	0general
in traveling from a dormitory to a certain city , a student went 1 / 4 of the way by foot , 1 / 2 of the way by bus , and the remaining 10 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?	1physics
if ( 1 / 5 ) ^ m * ( 1 / 4 ) ^ 4 = 1 / ( 16 * ( 10 ) ^ 4 ) , then m =	0general
in the faculty of reverse - engineering , 220 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ?	0general
what would be the minimum number of pumps required to fill a tank of 1000 m 3 to 85 % in one hour ? the capacity of the pump is 150 m 3 / hour and operates at an efficiency of 75 % .	1physics
of the land owned by a farmer , 90 percent was cleared for planting . of the cleared land , 60 percent was planted with grapes and 30 percent of the cleared land was planted with potato . if the remaining 360 acres of cleared land was planted with tomato , how many acres did the farmer own ?	2gain
the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 10 . if p invested the money for 8 months , find for how much time did q invest the money ?	2gain
a monkey ascends a greased pole 12 metres high . he ascends 2 metres in first minute and slips down 1 metre in the alternate minute . in which minute , he reaches the top ?	1physics
what will be the remainder when 17 ^ 200 is divided by 18	0general
sakshi invests a part of rs . 12000 in 12 % stock at rs . 120 and the remainder in 15 % stock at rs . 125 . if his total dividend per annum is rs . 1360 , how much does he invest in 12 % stock at rs . 120 ?	0general
xavier , yvonne , and zelda each try independently to solve a problem . if their individual probabilities for success are 1 / 5 , 1 / 2 and 5 / 8 , respectively , what is the probability that xavier and yvonne , but not zelda , will solve the problem ?	0general
in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 400 girls , the total number of students in the college is	5other
the tax on a commodity is diminished by 18 % and its consumption increased by 15 % . the effect on revenue is ?	0general
a can do a job in 10 days and b can do it in 30 days . a and b working together will finish twice the amount of work in - - - - - - - days ?	1physics
if jamie ' s income is rs 20000 , calculate his savings given that his income and expenditure are in the ratio 7 : 5 . ?	5other
a sum fetched a total simple interest of rs . 4016.25 at the rate of 1 % p . a . in 5 years . what is the sum ?	2gain
on thrusday mabel handled 90 transactions . anthony handled 10 % more transaction than mabel , cal handled 2 / 3 rds of the transactions that anthony handled and jade handled 16 more transaction than cal . how much transaction did jade handled ?	0general
jar x is 1 / 3 full of water . jar y , which has half the capacity of jar x , is 1 / 2 full of water . if the water in jar y is poured into jar x , then jar x will be filled to what fraction of its capacity ?	0general
a cement mixture is composed of 3 elements . by weight , 1 / 3 of the mixture is sand , 1 / 4 of the mixture is water , and the remaining 10 pounds of the mixture is gravel . what is the weight of the entire mixture in pounds ?	0general
0.01 is what percent of 0.1 ?	2gain
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 26 sec . what is the length of the platform ?	1physics
9 persons went to a hotel for taking their meals . 8 of them spent rs 12 each on their meals and the ninth spent rs . 8 more than the average expenditure of all the 9 . what was the total money spent by them ?	0general
a car started running at a speed of 30 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour . find the total distance covered by the car in the first 7 hours of the journey .	1physics
the average ( arithmetic mean ) of 4 positive integers is 40 . if the average of 2 of these integers is 45 , what is the greatest possible value that one of the other 2 integers can have ?	0general
what is the least number of square tiles required to pave the floor of a room 12 m 12 cm long and 1 m 20 cm broad ?	1physics
if 2 x = 3 √ 32 , then x is equal to :	0general
a train running at the speed of 48 km / hr crosses a pole in 9 seconds . find the length of the train ?	1physics
a cricket player whose bowling average was 20.5 runs per wicket , takes 5 wicket for 52 runs in a match . due to this his average decreases by 0.5 . what will be the number of wickets taken by him till the last match ?	0general
if a trader sold two cars each at rs . 325475 and gains 11 % on the first and loses 11 % on the second , then his profit or loss percent on the whole is ?	2gain
3 buffaloes eat as much as 4 cows or 2 oxen . at a farm , there are 15 buffaloes , 8 oxen , and 24 cows . the fodder for these cattle is available for 36 days . if 40 more cows and 15 more buffaloes are brought in , how many days will the fodder last ?	0general
for any non - zero a and b that satisfy \| ab \| = ab and \| a \| = a \| b - 4 \| + \| ab - b \| = ?	0general
p software has coding line 5 % more than n , n software has coding line 1 / 3 more than m . m software has 90 lines of coding . find p lines .	0general
the length of a rectangle is 4 times its width . if the width of the rectangle is 5 inches , what is the rectangle ' s area , in square inches ?	3geometry
a and b go around a circular track of length 1800 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ?	1physics
if f ( x ) = 3 x ^ 4 - 4 x ^ 3 - 3 x ^ 2 + 6 x , then f ( - 1 ) =	0general
the greatest common divisor of ( b - 2 ) ! , ( b + 1 ) ! , and ( b + 4 ) ! is 5040 . what is the value of b ?	0general
the length of a side of a hexagon is 10 inches . what is the perimeter ?	1physics
in february wilson ’ s earnings were 40 percent of his family ’ s total income . in march wilson earned 25 percent less than in february . if the rest of his family ’ s income was the same in both months , then , in march , wilson ’ s earnings were approximately what percent s of his family ’ s total income ?	0general
if a : b = 1 : 4 , b : c = 13 : 9 , c : d = 5 : 13 , find a : d ?	0general
in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 5 , 1 ) , ( 1 , 1 ) , ( 1 , - 4 ) and ( - 5 , - 4 ) ?	3geometry
population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 30 % , then find the population of city atthe end of the year 2007	2gain

which number can we add to 987654 to get a number exactly divisible by 456 ?

0general

if 25 % of a number is subtracted from a second number , the second number reduces to its 4 - sixth . what is the ratio of the first number to the second number ?

0general

the weight of a glass of jar is 10 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ?

2gain

the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of rs . 800 per sq . metre .

1physics

the sum of the even numbers between 1 and n is 105 * 106 , where n is an odd number , then n = ?

0general

in township k each property is taxed at 8 percent of its assessed value . if the assessed value of a property in township k is increased from $ 20,000 to $ 24,000 , by how much will the property tax increase ?

0general

o mow a grass field a team of mowers planned to cover 15 hectares a day . after 4 working days they increased the daily productivity by 33 × 13 % 33 × 13 % , and finished the work 1 day earlier than it was planned . a ) what is the area of the grass field ? b ) how many days did it take to mow the whole field ? c ) how many days were scheduled initially for this job ?

0general

if ( 20 ) ² is subtracted from the square of a number , the answer so obtained is 4321 . what is the number ?

3geometry

how many integers between 1 and 10 ^ 17 are such that the sum of their digits is 2 ?

0general

excluding stoppages , the speed of a bus is 60 kmph and including stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ?

1physics

the average monthly income of p and q is rs . 5050 . the average monthly income of q and r is rs . 6250 and the average monthly income of p and r is rs . 5200 . the monthly income of p is :

0general

if ( 1 / 2 ) ^ 23 ( 1 / 81 ) ^ k = 1 / 18 ^ 23 , then k =

0general

the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day . during the first 7 days , his average wages was $ 87 per day and the average wages during the last 7 days was $ 90 per day . what was his wage on the 8 th day ?

1physics

a vendor bought toffees at 6 for a rupee . how many for a rupee must he sell to gain 80 % ?

2gain

find the average of all the numbers between 11 and 34 which are divisible by 10 ?

0general

a certain company expects quarterly earnings of $ 0.80 per share of stock , half of which will be distributed as dividends to shareholders while the rest will be used for research and development . if earnings are greater than expected , shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings . if quarterly earnings are $ 1.10 per share , what will be the dividend paid to a person who owns 400 shares of the company ' s stock ?

0general

the content of several smaller cylinders ( 3 meter diameter and 6 meter height ) were to be emptied into a larger cylinder ( 20 meter diameter and 10 meter height ) , how many smaller cylinders will fill up the larger cylinder ?

3geometry

if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 840 , what is the least possible value of n ?

0general

among all sales staff at listco corporation , college graduates and those without college degrees are equally represented . each sales staff member is either a level - 1 or level - 2 employee . level - 1 college graduates account for 10 % of listco ' s sales staff . listco employs 72 level - 1 employees , 30 of whom are college graduates . how many sales staff members without college degrees are level - 2 employees ?

0general

a semicircle has a radius of 9 . what is the approximate perimeter of the semicircle ?

3geometry

a can do piece of work in 15 days and b in 20 days they finished the work with the assistance of c in 5 days and got rs . 45 as their wages find the share for each in wages ?

1physics

if the average ( arithmetic mean ) of a and b is 210 , and the average of b and c is 160 , what is the value of a − c ?

0general

calculate 469158 x 9999 = ?

0general

33 1 / 3 % of 210 ?

2gain

on a certain transatlantic crossing , 20 percent of a ship ' s passengers held round - trip tickets and also took their cars abroad the ship . if 40 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ' s passengers held round - trip tickets ?

2gain

a man has some hens and cows . if the number of heads be 48 and the number of feet equals 136 , then the number of hens will be :

0general

hillary and eddy are climbing to the summit of mt . everest from a base camp 5,100 ft from the summit . when they depart for the summit at 06 : 00 , hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr . if hillary stops 1100 ft short of the summit and then descends at a rate of 1,000 ft / hr , at what time do hillary and eddy pass each other on her return trip ?

0general

an error 6 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is

2gain

a train 360 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 190 m long ?

1physics

in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder . the dividend is :

0general

a man is 22 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is

0general

a train 55 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?

1physics

how long will a boy take to run round a square field of side 60 meters , if he runs at the rate of 12 km / hr ?

2gain

in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 6 eggs . if the cost of each pound of rice is $ 0.24 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ]

0general

murali travelled from city a to city b at a speed of 40 kmph and from city b to city c at 60 kmph . what is the average speed of murali from a to c given that the ratio of distances between a to b and b to c is 1 : 2 ? a . 48 kmph

1physics

a ’ s speed is 30 / 17 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ?

0general

a cycle is bought for rs . 670 and sold for rs . 780 , find the gain percent ?

2gain

the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 22 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ?

0general

a shopkeeper sold an article offering a discount of 5 % and earned a profit of 20.65 % . what would have been the percentage of profit earned if no discount was offered ?

2gain

two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 90 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?

1physics

john was thrice as old as tom 6 years ago . john will be 7 / 5 times as old as tom in 6 years . how old is tom today ?

0general

workers at a campaign office have 2000 fliers to send out . if they send out 1 / 10 of them in the morning and 1 / 4 of the remaining ones out during the afternoon , how many are left for the next day ?

1physics

three pipes a , b and c can fill a tank from empty to full in 20 minutes , 20 minutes and 30 minutes respectively . when the tank is empty , all the three pipes are opened . a , b and c discharge chemical solutions p , q and r respectively . what is the proportion of solution q in the liquid in the tank after 3 minutes ?

1physics

when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 5 ] * [ 4 ] = ?

0general

765 chairs are to be arranged in a column in such a way that the number of chairs in each column should be equal to the columns . how many chairs will be excluded to make this arrangement possible ?

0general

a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 40 percent .

1physics

if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 11 % per annum then the gain of b in a period of 3 years is ?

2gain

x and y began business with rs . 10000 and rs . 8000 after 6 months , x advances rs . 2000 and y advances rs . 2000 more . at the end of the year , their profits amounted to rs . 2000 find the share of x and y respectively .

0general

in a group of ducks and cows , the total number of legs are 30 more than twice the no . of heads . find the total no . of buffaloes .

0general

the l . c . m of two numbers is 48 . the numbers are in the ratio 1 : 2 . the sum of numbers is :

5other

a certain fraction has the same ratio to 1 / 36 , as 4 / 7 does to 5 / 9 . what is this certain fraction ?

5other

there are 780 male and female participants in a meeting . half the female participants and one - quarter of the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ?

0general

two goods trains each 2000 m long are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?

1physics

what sum of money will produce rs . 70 as simple interest in 4 years at 3 1 / 2 percent ?

2gain

a man is 34 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ?

0general

a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 130 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?

0general

a train running at a speed of 36 km / h passes an electric pole in 14 seconds . in how many seconds will the whole train pass a 360 - meter long platform ?

1physics

if n is a positive integer and n ^ 2 is divisible by 72 , then the largest positive integer m that must divide n is ?

0general

a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 27 m * 2 m * 0.75 m ?

1physics

one - fourth of the workers in palabras bookstore have read the latest book by j . saramago , and 5 / 8 of the workers have read the latest book by h . kureishi . the number of workers that have read neither book is one less than the number of the workers that have read the latest saramago book and have not read the latest kureishi book . if there are 72 workers in the palabras bookstore , how many of them have read both books ?

0general

in traveling from a dormitory to a certain city , a student went 1 / 4 of the way by foot , 1 / 2 of the way by bus , and the remaining 10 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?

1physics

if ( 1 / 5 ) ^ m * ( 1 / 4 ) ^ 4 = 1 / ( 16 * ( 10 ) ^ 4 ) , then m =

0general

in the faculty of reverse - engineering , 220 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ?

0general

what would be the minimum number of pumps required to fill a tank of 1000 m 3 to 85 % in one hour ? the capacity of the pump is 150 m 3 / hour and operates at an efficiency of 75 % .

1physics

of the land owned by a farmer , 90 percent was cleared for planting . of the cleared land , 60 percent was planted with grapes and 30 percent of the cleared land was planted with potato . if the remaining 360 acres of cleared land was planted with tomato , how many acres did the farmer own ?

2gain

the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 10 . if p invested the money for 8 months , find for how much time did q invest the money ?

2gain

a monkey ascends a greased pole 12 metres high . he ascends 2 metres in first minute and slips down 1 metre in the alternate minute . in which minute , he reaches the top ?

1physics

what will be the remainder when 17 ^ 200 is divided by 18

0general

sakshi invests a part of rs . 12000 in 12 % stock at rs . 120 and the remainder in 15 % stock at rs . 125 . if his total dividend per annum is rs . 1360 , how much does he invest in 12 % stock at rs . 120 ?

0general

xavier , yvonne , and zelda each try independently to solve a problem . if their individual probabilities for success are 1 / 5 , 1 / 2 and 5 / 8 , respectively , what is the probability that xavier and yvonne , but not zelda , will solve the problem ?

0general

in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 400 girls , the total number of students in the college is

5other

the tax on a commodity is diminished by 18 % and its consumption increased by 15 % . the effect on revenue is ?

0general

a can do a job in 10 days and b can do it in 30 days . a and b working together will finish twice the amount of work in - - - - - - - days ?

1physics

if jamie ' s income is rs 20000 , calculate his savings given that his income and expenditure are in the ratio 7 : 5 . ?

5other

a sum fetched a total simple interest of rs . 4016.25 at the rate of 1 % p . a . in 5 years . what is the sum ?

2gain

on thrusday mabel handled 90 transactions . anthony handled 10 % more transaction than mabel , cal handled 2 / 3 rds of the transactions that anthony handled and jade handled 16 more transaction than cal . how much transaction did jade handled ?

0general

jar x is 1 / 3 full of water . jar y , which has half the capacity of jar x , is 1 / 2 full of water . if the water in jar y is poured into jar x , then jar x will be filled to what fraction of its capacity ?

0general

a cement mixture is composed of 3 elements . by weight , 1 / 3 of the mixture is sand , 1 / 4 of the mixture is water , and the remaining 10 pounds of the mixture is gravel . what is the weight of the entire mixture in pounds ?

0general

0.01 is what percent of 0.1 ?

2gain

a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 26 sec . what is the length of the platform ?

1physics

9 persons went to a hotel for taking their meals . 8 of them spent rs 12 each on their meals and the ninth spent rs . 8 more than the average expenditure of all the 9 . what was the total money spent by them ?

0general

a car started running at a speed of 30 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour . find the total distance covered by the car in the first 7 hours of the journey .

1physics

the average ( arithmetic mean ) of 4 positive integers is 40 . if the average of 2 of these integers is 45 , what is the greatest possible value that one of the other 2 integers can have ?

0general

what is the least number of square tiles required to pave the floor of a room 12 m 12 cm long and 1 m 20 cm broad ?

1physics

if 2 x = 3 √ 32 , then x is equal to :

0general

a train running at the speed of 48 km / hr crosses a pole in 9 seconds . find the length of the train ?

1physics

a cricket player whose bowling average was 20.5 runs per wicket , takes 5 wicket for 52 runs in a match . due to this his average decreases by 0.5 . what will be the number of wickets taken by him till the last match ?

0general

if a trader sold two cars each at rs . 325475 and gains 11 % on the first and loses 11 % on the second , then his profit or loss percent on the whole is ?

2gain

3 buffaloes eat as much as 4 cows or 2 oxen . at a farm , there are 15 buffaloes , 8 oxen , and 24 cows . the fodder for these cattle is available for 36 days . if 40 more cows and 15 more buffaloes are brought in , how many days will the fodder last ?

0general

for any non - zero a and b that satisfy | ab | = ab and | a | = a | b - 4 | + | ab - b | = ?

0general

p software has coding line 5 % more than n , n software has coding line 1 / 3 more than m . m software has 90 lines of coding . find p lines .

0general

the length of a rectangle is 4 times its width . if the width of the rectangle is 5 inches , what is the rectangle ' s area , in square inches ?

3geometry

a and b go around a circular track of length 1800 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ?

1physics

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

0general

the greatest common divisor of ( b - 2 ) ! , ( b + 1 ) ! , and ( b + 4 ) ! is 5040 . what is the value of b ?

0general

the length of a side of a hexagon is 10 inches . what is the perimeter ?

1physics

in february wilson ’ s earnings were 40 percent of his family ’ s total income . in march wilson earned 25 percent less than in february . if the rest of his family ’ s income was the same in both months , then , in march , wilson ’ s earnings were approximately what percent s of his family ’ s total income ?

0general

if a : b = 1 : 4 , b : c = 13 : 9 , c : d = 5 : 13 , find a : d ?

0general

in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 5 , 1 ) , ( 1 , 1 ) , ( 1 , - 4 ) and ( - 5 , - 4 ) ?

3geometry

population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 30 % , then find the population of city atthe end of the year 2007

2gain