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

Problem stringlengths 5 967	category class label 6 classes
last year , for every 100 million vehicles that traveled on a certain highway , 40 vehicles were involved in accidents . if 2 billion vehicles traveled on the highway last year , how many of those vehicles were involved in accidents ? ( 1 billion = 1,000 , 000,000 )	0general
find the value of ( √ 1.21 ) / ( √ 0.64 ) + ( √ 1.44 ) / ( √ 0.49 ) is	0general
a and b together can do a piece of work in 5 days . if a alone can do the same work in 20 days , then b alone can do the same work in ?	1physics
a boat moves upstream at the rate of 1 km in 25 minutes and down stream 1 km in 12 minutes . then the speed of the current is :	1physics
the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448 . what should be the sale price for making 50 % profit ?	2gain
each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 56 hours . if harry and james were paid the same amount last week , how many hours did harry work last week ?	0general
simplify : 100 x 100 - 50 x 50	0general
a worker ' s daily wage is increased by 40 % and the new wage is $ 28 per day . what was the worker ' s daily wage before the increase ?	1physics
two pipes can fill a tank in 15 minutes and 15 minutes . an outlet pipe can empty the tank in 45 minutes . if all the pipes are opened when the tank is empty , then how many minutes will it take to fill the tank ?	1physics
set r is composed of 9 numbers , labeled r 1 through r 9 . set s is also composed of 9 numbers , labeled s 1 through s 9 . set s is defined as follows : s 1 = 1 + r 1 ; s 2 = 2 + r 2 ; and so on , including s 9 = 9 + r 9 . how much larger is the sum of set s ' s mean and range than the sum of set r ' s mean and range ?	0general
the average of temperatures at noontime from monday to friday is 60 ; the lowest one is 45 , what is the possible maximum range of the temperatures ?	0general
at a certain organisation , the number of male members went up by 12 % in the year 2001 from year 2000 , and the number of females members went down by 5 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ?	5other
if the average of 9 digits is 18 and the average of 4 of them is 8 , calculate the average of the remaining 5 numbers ?	0general
the units digit of ( 35 ) ^ ( 87 ) + ( 3 ) ^ ( 45 ) is :	0general
in a certain animal shelter , the ratio of the number of dogs to the number of cats is 15 to 7 . if 20 additional cats were to be taken in by the shelter , the ratio of the number of dogs to the number of cats would be 15 to 11 . how many dogs are in the shelter ?	5other
a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 60 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?	1physics
the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15 . if the sum of the first and the last number is 17 . what is the last numbers ?	0general
mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 24624 , how much amount per month would he have spent on clothes and transport ?	0general
a train 210 m long , running with a speed of 63 km / hr will pass a tree in ?	1physics
drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 2 / 5 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ?	0general
joe drives 180 miles at 60 miles per hour , and then he drives the next 120 miles at 40 miles per hour . what is his average speed for the entire trip in miles per hour ?	1physics
at veridux corporation , there are 250 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 140 male associates , how many female managers are there ?	0general
a train travels 250 km in 2 hours and 350 km in 4 hours . find the average speed of train .	1physics
the difference of the areas of two squares drawn on two line segments in 32 sq . cm . find the length of the greater line segment if one is longer than the other by 2 cm	3geometry
if the cost price of 24 articles is equal to the selling price of 16 articles , what is the percentage of profit or loss that the merchant makes ?	2gain
x and y can do a piece of work in 20 days and 12 days respectively . x started the work alone and then after 4 days y joined him till the completion of the work . how long did the work last ?	1physics
a rectangular field is to be fenced on three sides leaving a side of 10 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ?	3geometry
a study group consists of 4 english majors , 6 biological sciences majors , and 5 engineers . in how many ways can 3 english majors , 3 biological science majors and 3 engineers selected from the given group ?	5other
a man swims downstream 35 km and upstream 20 km taking 5 hours each time , what is the speed of the man in still water ?	1physics
in the third grade of windblown school there are 90 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ?	5other
a volunteer organization is recruiting new members . in the fall they manage to increase their number by 9 % . by the spring however membership falls by 19 % . what is the total change in percentage from fall to spring ?	0general
a theater box office sold an average ( arithmetic mean ) of 64 tickets per staff member to a particular movie . among the daytime staff , the average number sold per member was 76 , and among the evening staff , the average number sold was 60 . if there are no other employees , what was the ratio of the number of daytime staff members to the number of evening staff members ?	0general
for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.988 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ?	0general
in a garden , there are 10 rows and 12 columns of mango trees . the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is ?	1physics
5 n + 2 > 12 and 7 n - 5 < 30 ; n must be between which numbers ?	0general
how long does a train 110 m long traveling at 36 kmph takes to cross a bridge of 170 m in length ?	1physics
how many positive integer solutions does the equation 2 x + 5 y = 100 have ?	0general
in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 34 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ?	0general
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ?	3geometry
a , b and c have rs . 500 between them , a and c together have rs . 200 and b and c rs . 330 . how much does c have ?	0general
when positive integer x is divided by positive integer y , the remainder is 4 . if x / y = 96.16 , what is the value of y ?	0general
the present ages of 3 persons are in proportions 4 : 7 : 9 . 7 years ago , the sum of their ages was 79 . find their present ages .	0general
in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability e this college graduate has a graduate degree ?	5other
the diagonals of a rhombus are 15 cm and 17 cm . find its area ?	3geometry
a car dealership has 40 cars on the lot , 15 % of which are silver . if the dealership receives a new shipment of 80 cars , 30 % of which are not silver , what percentage of total number of cars are silver ?	2gain
two train each 500 m long , and 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
geetha ' s home has one tap , working alone at its maximum constant rate , can fill a certain sink in 210 seconds . a second tap , working alone at its maximum constant rate , can fill the same sink in 214 seconds . if both taps work together at their respective maximum constant rates , the time it will take to fill the sink is closest to	1physics
a bucket contains 2 mixtures a and b in the ratio 3 : 2 . if 5 liters of the mixture is replaced by 5 liters of liquid b , then the ratio of the two liquids becomes 3 : 5 . how much of the liquid a was there in the bucket ?	0general
34 : 43 : : 25 : ?	0general
how many liters of water must be evaporated from 50 liters of a 3 - percent sugar solution to get a 2 - percent solution ?	2gain
how much more would rs . 40000 fetch , after two years , if it is put at 20 % p . a . compound interest payable half yearly than if is put at 20 % p . a . compound interest payable yearly ?	2gain
fresh grapes contain 80 % water by weight and raisins obtained by drying fresh grapes contain 25 % water by weight . how many kgs of fresh grapes are needed to get 20 kgs of raisins ?	2gain
a can finish a work in 6 days and b can do the same work in 15 days . b worked for 10 days and left the job . in how many days , a alone can finish the remaining work ?	1physics
one night 25 percent of the female officers on a police force were on duty . if 500 officers were on duty that night and half of these were female officers , how many female officers were on the police force ?	2gain
two bullet trains of equal lengths take 10 seconds and 50 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?	1physics
if $ 935 are divided between worker a and worker b in the ratio 5 : 12 , what is the share that worker b will get ?	5other
a shop owner sells 30 mtr of cloth and gains sp of 10 metres . find the gain % ?	2gain
if n is a positive integer and n ^ 2 is divisible by 50 , then what is the largest positive integer that must divide n ?	0general
the sum of present age of abe and the age before 7 years is 29 . find the present age of abe . what will be his age after 7 years ?	0general
if both 5 ^ 2 and 3 ^ 3 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ?	5other
a and b can finish a work in 16 days while a alone can do the same work in 32 days . in how many days b alone will complete the work ?	1physics
of 60 applicants for a job , 28 had at least 4 years ' experience , 36 had degrees , and 6 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ?	0general
if log 0.317 = 0.3332 and log 0.318 = 0.3364 , then find log 0.319	5other
a bicycle wheel has a diameter of 0.81 m . how many complete revolutions does it make in 1 km ?	1physics
if there are half as many women as men in a group and an equal number of men and women do not own cars - a group that is 30 % of the total . what fraction of the total is men who own cars ?	0general
12 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ?	3geometry
if the function q is defined by the formula q = 5 w / ( 4 d ( z ^ 2 ) ) , by what factor will q be multiplied if w is quadrupled , d is doubled , and z is tripled ?	0general
what is 982 * 982 ?	0general
a pipe can fill a cistern in 88 minutes . find the time in which 1 / 11 part of the cistern will be filled ?	1physics
a man walking at a rate of 15 km / hr crosses a bridge in 20 minutes . the length of the bridge is ?	2gain
a total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates . find the respective number of boys and girls ?	0general
how many figures are required to number the pages the pages of a book containing 365 pages ?	0general
a mixture contains milk and water in the ratio 3 : 2 . on adding 10 liters of water , the ratio of milk to water becomes 2 : 3 . total quantity of milk & water before adding water to it ?	0general
16 men can complete a piece of work in 30 days . in how many days can 20 men complete that piece of work ?	1physics
a , b , k start from the same place and travel in the same direction at speeds of 30 km / hr , 40 km / hr , 160 km / hr respectively . b starts two hours after a . if b and k overtake a at the same instant , how many hours after a did k start ?	1physics
the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 384 meters , what is the width of the field ?	3geometry
speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph . a man rows to a place at a distance of 7740 km and comes back to the starting point . the total time taken by him is :	1physics
72 67 66 61 60 . . . ?	0general
a train is running at a speed of 40 km / hr and it crosses a post in 25.2 seconds . what is the length of the train ?	1physics
speed of a boat in standing water is 8 kmph and the speed of the stream is 6 kmph . a man rows to place at a distance of 210 km and comes back to the starting point . the total time taken by him is :	1physics
a rectangular garden is to be twice as long as it is wide . if 300 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ?	3geometry
the average age of 35 students in a class is 16 years . the average age of 21 students is 14 . what is the average age of remaining 19 students ?	0general
if each side of a right triangle is increased by 10 % and the base ( b ) is half of the height , find the percentage change in its area ?	3geometry
the calendar of the year 2032 can be used again in the year ?	2gain
a sum of money at simple interest amounts to rs . 825 in 3 years and to rs . 840 in 4 years . the sum is ?	2gain
if p is the product of the integers from 1 to 35 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of p ?	0general
the simple form of the ratio 4 / 5 : 8 / 9 is ?	5other
what is the difference between the c . i . on rs . 6000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ?	0general
in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 8 % . what is population of after 2 year .	0general
i chose a number and divide it by 9 . then i subtracted 100 from the result and got 10 . what was the number i chose ?	0general
the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 6625 , what is the length of the plot in metres ?	1physics
after giving a discount of rs . 50 the shopkeeper gets a profit of 20 % , if the cost price is rs . 500 . find the marked price % ?	2gain
find the value of 2.5 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ]	0general
on an order of 3 dozen boxes of a consumer product , a retailer receives an extra dozen free . this is equivalent to allowing him a discount of :	0general
if bill can buy 3 pairs of jeans and 2 shirts for $ 69 or 2 pairs of jeans and 3 shirts for $ 61 , how much does one shirt cost ?	0general
30 square stone slabs of equal size were needed to cover a floor area of 50.7 sq . m . find the length of each stone slab ?	3geometry
the cost of 10 kg of apples 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 rs . 20.50 . find the total cost of 4 kg of apples , 3 kg of rice and 5 kg of flour ?	0general
the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount . but somehow the customer managed to purchase only 70 % of the required amount . what is the net difference in the expenditure on that product ?	0general
how many positive integers less than 100 have a remainder of 5 when divided by 13 ?	0general
a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 80 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ?	3geometry

last year , for every 100 million vehicles that traveled on a certain highway , 40 vehicles were involved in accidents . if 2 billion vehicles traveled on the highway last year , how many of those vehicles were involved in accidents ? ( 1 billion = 1,000 , 000,000 )

0general

find the value of ( √ 1.21 ) / ( √ 0.64 ) + ( √ 1.44 ) / ( √ 0.49 ) is

0general

a and b together can do a piece of work in 5 days . if a alone can do the same work in 20 days , then b alone can do the same work in ?

1physics

a boat moves upstream at the rate of 1 km in 25 minutes and down stream 1 km in 12 minutes . then the speed of the current is :

1physics

the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448 . what should be the sale price for making 50 % profit ?

2gain

each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 56 hours . if harry and james were paid the same amount last week , how many hours did harry work last week ?

0general

simplify : 100 x 100 - 50 x 50

0general

a worker ' s daily wage is increased by 40 % and the new wage is $ 28 per day . what was the worker ' s daily wage before the increase ?

1physics

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

1physics

set r is composed of 9 numbers , labeled r 1 through r 9 . set s is also composed of 9 numbers , labeled s 1 through s 9 . set s is defined as follows : s 1 = 1 + r 1 ; s 2 = 2 + r 2 ; and so on , including s 9 = 9 + r 9 . how much larger is the sum of set s ' s mean and range than the sum of set r ' s mean and range ?

0general

the average of temperatures at noontime from monday to friday is 60 ; the lowest one is 45 , what is the possible maximum range of the temperatures ?

0general

at a certain organisation , the number of male members went up by 12 % in the year 2001 from year 2000 , and the number of females members went down by 5 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ?

5other

if the average of 9 digits is 18 and the average of 4 of them is 8 , calculate the average of the remaining 5 numbers ?

0general

the units digit of ( 35 ) ^ ( 87 ) + ( 3 ) ^ ( 45 ) is :

0general

in a certain animal shelter , the ratio of the number of dogs to the number of cats is 15 to 7 . if 20 additional cats were to be taken in by the shelter , the ratio of the number of dogs to the number of cats would be 15 to 11 . how many dogs are in the shelter ?

5other

a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 60 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?

1physics

the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15 . if the sum of the first and the last number is 17 . what is the last numbers ?

0general

mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 24624 , how much amount per month would he have spent on clothes and transport ?

0general

a train 210 m long , running with a speed of 63 km / hr will pass a tree in ?

1physics

drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 2 / 5 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ?

0general

joe drives 180 miles at 60 miles per hour , and then he drives the next 120 miles at 40 miles per hour . what is his average speed for the entire trip in miles per hour ?

1physics

at veridux corporation , there are 250 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 140 male associates , how many female managers are there ?

0general

a train travels 250 km in 2 hours and 350 km in 4 hours . find the average speed of train .

1physics

the difference of the areas of two squares drawn on two line segments in 32 sq . cm . find the length of the greater line segment if one is longer than the other by 2 cm

3geometry

if the cost price of 24 articles is equal to the selling price of 16 articles , what is the percentage of profit or loss that the merchant makes ?

2gain

x and y can do a piece of work in 20 days and 12 days respectively . x started the work alone and then after 4 days y joined him till the completion of the work . how long did the work last ?

1physics

a rectangular field is to be fenced on three sides leaving a side of 10 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ?

3geometry

a study group consists of 4 english majors , 6 biological sciences majors , and 5 engineers . in how many ways can 3 english majors , 3 biological science majors and 3 engineers selected from the given group ?

5other

a man swims downstream 35 km and upstream 20 km taking 5 hours each time , what is the speed of the man in still water ?

1physics

in the third grade of windblown school there are 90 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ?

5other

a volunteer organization is recruiting new members . in the fall they manage to increase their number by 9 % . by the spring however membership falls by 19 % . what is the total change in percentage from fall to spring ?

0general

a theater box office sold an average ( arithmetic mean ) of 64 tickets per staff member to a particular movie . among the daytime staff , the average number sold per member was 76 , and among the evening staff , the average number sold was 60 . if there are no other employees , what was the ratio of the number of daytime staff members to the number of evening staff members ?

0general

for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.988 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ?

0general

in a garden , there are 10 rows and 12 columns of mango trees . the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is ?

1physics

5 n + 2 > 12 and 7 n - 5 < 30 ; n must be between which numbers ?

0general

how long does a train 110 m long traveling at 36 kmph takes to cross a bridge of 170 m in length ?

1physics

how many positive integer solutions does the equation 2 x + 5 y = 100 have ?

0general

in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 34 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ?

0general

a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ?

3geometry

a , b and c have rs . 500 between them , a and c together have rs . 200 and b and c rs . 330 . how much does c have ?

0general

when positive integer x is divided by positive integer y , the remainder is 4 . if x / y = 96.16 , what is the value of y ?

0general

the present ages of 3 persons are in proportions 4 : 7 : 9 . 7 years ago , the sum of their ages was 79 . find their present ages .

0general

in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability e this college graduate has a graduate degree ?

5other

the diagonals of a rhombus are 15 cm and 17 cm . find its area ?

3geometry

a car dealership has 40 cars on the lot , 15 % of which are silver . if the dealership receives a new shipment of 80 cars , 30 % of which are not silver , what percentage of total number of cars are silver ?

2gain

two train each 500 m long , and 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

geetha ' s home has one tap , working alone at its maximum constant rate , can fill a certain sink in 210 seconds . a second tap , working alone at its maximum constant rate , can fill the same sink in 214 seconds . if both taps work together at their respective maximum constant rates , the time it will take to fill the sink is closest to

1physics

a bucket contains 2 mixtures a and b in the ratio 3 : 2 . if 5 liters of the mixture is replaced by 5 liters of liquid b , then the ratio of the two liquids becomes 3 : 5 . how much of the liquid a was there in the bucket ?

0general

34 : 43 : : 25 : ?

0general

how many liters of water must be evaporated from 50 liters of a 3 - percent sugar solution to get a 2 - percent solution ?

2gain

how much more would rs . 40000 fetch , after two years , if it is put at 20 % p . a . compound interest payable half yearly than if is put at 20 % p . a . compound interest payable yearly ?

2gain

fresh grapes contain 80 % water by weight and raisins obtained by drying fresh grapes contain 25 % water by weight . how many kgs of fresh grapes are needed to get 20 kgs of raisins ?

2gain

a can finish a work in 6 days and b can do the same work in 15 days . b worked for 10 days and left the job . in how many days , a alone can finish the remaining work ?

1physics

one night 25 percent of the female officers on a police force were on duty . if 500 officers were on duty that night and half of these were female officers , how many female officers were on the police force ?

2gain

two bullet trains of equal lengths take 10 seconds and 50 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?

1physics

if $ 935 are divided between worker a and worker b in the ratio 5 : 12 , what is the share that worker b will get ?

5other

a shop owner sells 30 mtr of cloth and gains sp of 10 metres . find the gain % ?

2gain

if n is a positive integer and n ^ 2 is divisible by 50 , then what is the largest positive integer that must divide n ?

0general

the sum of present age of abe and the age before 7 years is 29 . find the present age of abe . what will be his age after 7 years ?

0general

if both 5 ^ 2 and 3 ^ 3 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ?

5other

a and b can finish a work in 16 days while a alone can do the same work in 32 days . in how many days b alone will complete the work ?

1physics

of 60 applicants for a job , 28 had at least 4 years ' experience , 36 had degrees , and 6 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ?

0general

if log 0.317 = 0.3332 and log 0.318 = 0.3364 , then find log 0.319

5other

a bicycle wheel has a diameter of 0.81 m . how many complete revolutions does it make in 1 km ?

1physics

if there are half as many women as men in a group and an equal number of men and women do not own cars - a group that is 30 % of the total . what fraction of the total is men who own cars ?

0general

12 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ?

3geometry

if the function q is defined by the formula q = 5 w / ( 4 d ( z ^ 2 ) ) , by what factor will q be multiplied if w is quadrupled , d is doubled , and z is tripled ?

0general

what is 982 * 982 ?

0general

a pipe can fill a cistern in 88 minutes . find the time in which 1 / 11 part of the cistern will be filled ?

1physics

a man walking at a rate of 15 km / hr crosses a bridge in 20 minutes . the length of the bridge is ?

2gain

a total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates . find the respective number of boys and girls ?

0general

how many figures are required to number the pages the pages of a book containing 365 pages ?

0general

a mixture contains milk and water in the ratio 3 : 2 . on adding 10 liters of water , the ratio of milk to water becomes 2 : 3 . total quantity of milk & water before adding water to it ?

0general

16 men can complete a piece of work in 30 days . in how many days can 20 men complete that piece of work ?

1physics

a , b , k start from the same place and travel in the same direction at speeds of 30 km / hr , 40 km / hr , 160 km / hr respectively . b starts two hours after a . if b and k overtake a at the same instant , how many hours after a did k start ?

1physics

the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 384 meters , what is the width of the field ?

3geometry

speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph . a man rows to a place at a distance of 7740 km and comes back to the starting point . the total time taken by him is :

1physics

72 67 66 61 60 . . . ?

0general

a train is running at a speed of 40 km / hr and it crosses a post in 25.2 seconds . what is the length of the train ?

1physics

speed of a boat in standing water is 8 kmph and the speed of the stream is 6 kmph . a man rows to place at a distance of 210 km and comes back to the starting point . the total time taken by him is :

1physics

a rectangular garden is to be twice as long as it is wide . if 300 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ?

3geometry

the average age of 35 students in a class is 16 years . the average age of 21 students is 14 . what is the average age of remaining 19 students ?

0general

if each side of a right triangle is increased by 10 % and the base ( b ) is half of the height , find the percentage change in its area ?

3geometry

the calendar of the year 2032 can be used again in the year ?

2gain

a sum of money at simple interest amounts to rs . 825 in 3 years and to rs . 840 in 4 years . the sum is ?

2gain

if p is the product of the integers from 1 to 35 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of p ?

0general

the simple form of the ratio 4 / 5 : 8 / 9 is ?

5other

what is the difference between the c . i . on rs . 6000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ?

0general

in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 8 % . what is population of after 2 year .

0general

i chose a number and divide it by 9 . then i subtracted 100 from the result and got 10 . what was the number i chose ?

0general

the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 6625 , what is the length of the plot in metres ?

1physics

after giving a discount of rs . 50 the shopkeeper gets a profit of 20 % , if the cost price is rs . 500 . find the marked price % ?

2gain

find the value of 2.5 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ]

0general

on an order of 3 dozen boxes of a consumer product , a retailer receives an extra dozen free . this is equivalent to allowing him a discount of :

0general

if bill can buy 3 pairs of jeans and 2 shirts for $ 69 or 2 pairs of jeans and 3 shirts for $ 61 , how much does one shirt cost ?

0general

30 square stone slabs of equal size were needed to cover a floor area of 50.7 sq . m . find the length of each stone slab ?

3geometry

the cost of 10 kg of apples 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 rs . 20.50 . find the total cost of 4 kg of apples , 3 kg of rice and 5 kg of flour ?

0general

the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount . but somehow the customer managed to purchase only 70 % of the required amount . what is the net difference in the expenditure on that product ?

0general

how many positive integers less than 100 have a remainder of 5 when divided by 13 ?

0general

a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 80 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ?

3geometry