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

Problem stringlengths 5 967	category class label 6 classes
how many positive integers less than 50 are multiples of 6 but not multiples of 8 ?	0general
a reduction of 10 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?	2gain
the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 17000 , then find the annual income of a ?	5other
two pipes can fill a tank in 18 minutes and 30 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
17 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ?	0general
if a farmer sells 5 of his chickens , his stock of feed will last for 4 more days than planned , but if he buys 20 more chickens , he will run out of feed 1 day earlier than planned . if no chickens are sold or bought , the farmer will be exactly on schedule . how many chickens does the farmer have ?	0general
what will be the reminder when ( 13 ^ 13 + 13 ) is divided by 14 ?	0general
two whole numbers whose sum is 40 can not be in the ratio	5other
the remainder when positive integer nn ( n > 1 n > 1 ) is divided by 25 is 1 and the remainder when nn is divided by 7 is also 1 . what is the least value of nn ?	0general
a tank is filled in sixteen hours by 3 pipes a , b and c . pipe a is twice as fast as pipe b , and b is twice as fast as c . how much time will pipe b alone take to fill the tank ?	0general
two numbers n and 16 have lcm = 48 and gcf = 18 . find n .	1physics
when n is divided by 20 , the remainder is 5 . what is the remainder when n + 16 is divided by 5 ?	0general
if a = { 10 , 15 , 18 , 22 , 36 , 44 } , what is the product of mean and median of the numbers in a ?	0general
of the 3,600 employees of company x , 1 / 6 are clerical . if the clerical staff were to be reduced by 1 / 3 , what percent of the total number of the remaining employees would then be clerical ?	0general
two trains leave a station traveling in the same direction . train a leaves traveling at a constant speed of 50 mph , while train b leaves traveling at a constant speed of 80 mph . if train b left the station 30 minutes after train a left , in how many minutes will train b overtake train a ?	1physics
if 4 : 6 : : x : 36 , then find the value of x	0general
what is the value of 4 ^ 6 + 4 ^ 8 ?	0general
let the least number of 6 digits , which when divided by 4 , 610 and 15 leaves in each case the same remainder of 2 , be n . the sum of the digits in n is :	0general
if a = 105 and a ^ 3 = 21 * 25 * 35 * b , what is the value of b ?	0general
what is the maximum number of pieces of birthday cake of size 2 ” by 2 ” that can be cut from a cake 20 ” by 20 ” ?	1physics
how many positive integers less than 50 are multiples of 2 but not multiples of 5 ?	0general
if \| 4 x + 14 \| = 46 , what is the sum of all the possible values of x ?	0general
what is the least number . which should be added to 0.0282 to make it a perfect square ?	0general
at the faculty of aerospace engineering , 302 students study random - processing methods , 232 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ?	5other
in a group of 100 people , 55 have visited iceland and 43 have visited norway . if 61 people have visited both iceland and norway , how many people have visited neither country ?	5other
a car was driving at 60 km / h for 20 minutes , and then at 90 km / h for another 40 minutes . what was its average speed ?	0general
if ( a + b ) = 5 , ( b + c ) = 9 and ( c + d ) = 3 , what is the value of ( a + d ) ?	0general
in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 13 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?	2gain
150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution . find the approximate concentration c of the acid in the mixture ?	0general
a , b and c invests rs . 2000 , rs . 3000 and rs . 4000 in a business . after one year a removed his money ; b and c continued the business for one more year . if the net profit after 2 years be rs . 3200 , then a ' s share in the profit is ?	2gain
a train is moving at a speed of 100 km / hour . the length of the train is 100 metre . in how much time will it cross a pole ?	1physics
a ladder 14 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 9 feet from the base of the wall . if the top of the ladder slips down 1 feet , how many feet will the bottom of the ladder slip ?	2gain
a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 30 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ?	2gain
a train 330 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?	1physics
a completes 80 % of a work in 20 days . then b also joins and a and b together finish the remaining work in 3 days . how long does it need for b if he alone completes the work ?	1physics
if - 3 / ( a - 3 ) = 3 / ( a + 2 ) , then a = ?	0general
company p had 15 percent more employees in december than it had in january . if company p had 460 employees in december , how many employees did it have in january ?	2gain
if rs . 782 be divided into 3 parts , proportional to 1 / 2 : 1 / 3 : 3 / 4 , then the second part is ?	0general
a number is doubled and 5 is added . if the resultant is trebled , it becomes 117 . what is that number ?	0general
find out the c . i on rs . 5000 at 4 % p . a . compound half - yearly for 1 1 / 2 years .	0general
what is the greatest of 3 consecutive integers whose sum is 24 ?	1physics
i sold a book at a profit of 10 % . had i sold it for $ 120 more , 15 % would have been gained . find the cost price ?	2gain
how much is 25 % of 40 is greater than 4 / 5 of 25 ?	0general
in a division , divident is 760 , divisior is 36 and quotient is 21 . find the remainder .	0general
a certain car uses 12 gallons of gasoline in traveling 360 miles . in order for the car to travel the same distance using 10 gallons of gasoline , by how many miles per gallon must the car ’ s gas mileage be increased ?	1physics
in an election between two candidates - lange and sobel - 70 % of the voters voted for sobel . of the election ` s voters , 60 % were male . if 35 % of the female voters voted for lange , what percentage of the male voters voted for sobel ?	2gain
a 100 - litre mixture of milk and water contains 49 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 25 % . what is the value of x ?	0general
the standard deviation of a normal distribution of data is 2 , and 3 standard deviations below the mean is greater than 46 . what is a possible value for the mean of the distribution ?	0general
4 friends a , b , c and d decided to share a lot of apples . each of them had half of the total plus half an apple in order . after each of them took their share 3 time , no apples were left . how many apples were there ?	0general
two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 16 hours and 4 hours respectively . the ratio of their speeds is :	1physics
a certain family has 3 sons : richard is 6 years older than david , and david is 8 years older than scott . if in 8 years , richard will be twice as old as scott , then how old was david 2 years ago ?	0general
a river 4 m deep and 22 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is ?	1physics
a drink vendor has 40 liters of maaza , 144 liters of pepsi and 368 liters of sprite . he wants to pack them in cans , so that each can contains the same number of liters of a drink , and does n ' t want to mix any two drinks in a can . what is the least number of cans required ?	0general
if x is 3 times larger than n , and if 2 n + 3 is 20 % of 25 , what is the value of ?	0general
a one - foot stick is marked in 1 / 3 and 1 / 5 portion . how many total markings will there be , including the end points ?	0general
sachin is younger than rahul by 6 years . if their ages are in the respective ratio of 7 : 9 , how old is sachin ?	5other
in arun ' s opinion , his weight is greater than 64 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 67 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ?	0general
in may , the grounds keeper at spring lake golf club built a circular green with an area of 25 square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ?	3geometry
two trains are moving in opposite directions with speed of 110 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds	1physics
in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,10 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ?	3geometry
into a room you store 38 black bottles and 4 green bottles , and you turn off the light . if you ask to someone look for 2 bottles without turn on the light , what is the probability of both the selected bottles will be green ?	5other
a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 27000 . a ' s share is ?	2gain
a man swims downstream 120 km and upstream 50 km taking 5 hours each time ; what is the speed of the current ?	1physics
pat , kate and mark charged a total of 198 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much times as mark , how many more hours did mark charge to the project than kate .	0general
in the junior basketball league there are 18 teams , 1 / 3 of them are bad and ½ are rich . what ca n ' t be the number of teams that are rich and bad ?	0general
kul is 22 years old and saras is 33 years . find the ratio of saras ' s age to kul ' s age .	5other
what is the cp of rs 100 stock at 7 discount , with 1 / 5 % brokerage ?	2gain
right triangle pqr is the base of the prism in the figure above . if pq = pr = â ˆ š 14 and the height of the prism is 8 , what is the volume of the prism ?	3geometry
a city with a population of 97,500 is to be divided into 6 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district . what is the minimum possible population that the least populated district could have ?	0general
find the c . i . on a sum of rs . 1800 for 6 months at 20 % per annum , interest being compounded quarterly ?	2gain
in a recent election , james received 15 percent of the 10000 votes cast . to win the election , a candidate needed to receive more than 51 percent of the vote . how many additional votes would james have needed to win the election ?	0general
how many 5 digit ( digit = 0 - 9 ) zip codes can exist in which at least one digit is repeated ?	0general
a train 400 m long is running at a speed of 54 km / hr . if it crosses a tunnel in 2 minutes . then what is the length of tunnel ?	1physics
if i walk at 3 km / h , i miss the bus by 12 minutes . if i walk at 6 km / h , i reach 10 minutes before the arrival of the bus . how far i walk to reach the bus stand ?	1physics
g ( x ) is defined as the product of all even integers k such that 0 < k ≤ x . for example , g ( 14 ) = 2 × 4 × 6 × 8 × 10 × 12 × 14 . if g ( e ) is divisible by 4 ^ 11 , what is the smallest possible value for e ?	0general
the ratio of boarders to day students at a school was originally 5 to 12 . however , after a number of new boarders join the initial 220 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ?	5other
recipe requires 15 mins to cook . you have 7 mins hourglass and a 11 mins hourglass with you . how will you measure 15 mins using them ?	1physics
what will be the result of 7 ^ 8 - 6 / 2 + 9 ^ 3 + 3 + 12 ?	0general
erik ' s mother gave him $ 86 to go to the store . erik bought 3 loaves of bread and 3 cartons of orange juice . each loaf of bread cost $ 3 and each carton of orange juice cost $ 6 . how much money does erik have left ?	0general
the value of a machine depreciates at 22 % per annum . if its present value is $ 1 , 50,000 , at what price should it be sold after two years such that a profit of $ 24,000 is made ?	2gain
a team won 50 percent of its first 60 games in a particular season , and 80 percent of its remaining games . if the team won a total of 65 percent of its games that season , what was the total number of games that the team played ?	2gain
in a class of 210 students , 70 did not opt for math . 55 did not opt for science and 42 did not opt for either . how many students of the class opted for both math and science ?	5other
1 ltr of water is added with 3 ltr of a solution containing 33 % of alcohol in the water . the % of alcohol in the new mixture is ?	0general
12 welders work at a constant rate they complete an order in 8 days . if after the first day , 9 welders start to work on the other project , how many more days the remaining welders will need to complete the rest of the order ?	1physics
a ’ s speed is 20 / 15 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
the sum of the even numbers between 1 and n is 81 * 82 , where n is an odd number , then n = ?	0general
saleem bought 4 baskets with the average cost of $ 4 . if saleem also buys the fifth basket with the price of $ 8 , what is the average ( arithmetic mean ) price of those 5 baskets ?	0general
when n is divided by 5 the remainder is 3 . what is the remainder when n ^ 2 is divided by 5 ?	0general
a rectangular swimming pool is 20 feet by 28 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 884 square feet . what is the width of the deck ?	3geometry
in a covering a distance of 30 km , abhay takes 2 hours more than sameer . if abhay double his speed , then he would take 1 hour less than sammer . abhay ' s speed is ?	1physics
from a pack of 52 cards , 1 card is drawn at random . what is the probability that a jack , queen , or king is drawn ?	4probability
a sum was put at simple interest at a certain rate for 9 years had it been put at 5 % higher rate , it would have fetched 1350 more . find the sum .	2gain
three table runners have a combined area of 224 square inches . by overlapping the runners to cover 80 % of a table of area 175 square inches , the area that is covered by exactly two layers of runner is 24 square inches . what is the area of the table that is covered with three layers of runner ?	3geometry
this year , mbb consulting fired 9 % of its employees and left remaining employee salaries unchanged . sally , a first - year post - mba consultant , noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before . the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction ?	0general
the sum of two consecutive integers is 21 . find the numbers .	1physics
one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill the tank in 35 minutes , then the slower pipe alone will be able to fill the tank in	1physics
if k is a non - negative integer and 15 ^ k is a divisor of 823,435 then 5 ^ k - k ^ 5 =	0general
p alone can complete a job in 5 days . the work done by q alone in one day is equal to one - fourth of the work done by p alone in one day . in how many days can the work be completed if p and q work together ?	1physics
the number of the members of a club is more than 10 and less than 40 . when 3 people sit at a table , other people exactly divided to 6 - people groups ( 6 people sit at a table ) or 5 - people groups ( 5 people sit at a table ) . if the members are divided to 7 - people groups , how many people will be left ?	0general
what must be added to each of the numbers 7 , 11 and 19 , so that the resulting numbers may be in continued proportion ?	0general

how many positive integers less than 50 are multiples of 6 but not multiples of 8 ?

0general

a reduction of 10 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?

2gain

the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 17000 , then find the annual income of a ?

5other

two pipes can fill a tank in 18 minutes and 30 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

17 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ?

0general

if a farmer sells 5 of his chickens , his stock of feed will last for 4 more days than planned , but if he buys 20 more chickens , he will run out of feed 1 day earlier than planned . if no chickens are sold or bought , the farmer will be exactly on schedule . how many chickens does the farmer have ?

0general

what will be the reminder when ( 13 ^ 13 + 13 ) is divided by 14 ?

0general

two whole numbers whose sum is 40 can not be in the ratio

5other

the remainder when positive integer nn ( n > 1 n > 1 ) is divided by 25 is 1 and the remainder when nn is divided by 7 is also 1 . what is the least value of nn ?

0general

a tank is filled in sixteen hours by 3 pipes a , b and c . pipe a is twice as fast as pipe b , and b is twice as fast as c . how much time will pipe b alone take to fill the tank ?

0general

two numbers n and 16 have lcm = 48 and gcf = 18 . find n .

1physics

when n is divided by 20 , the remainder is 5 . what is the remainder when n + 16 is divided by 5 ?

0general

if a = { 10 , 15 , 18 , 22 , 36 , 44 } , what is the product of mean and median of the numbers in a ?

0general

of the 3,600 employees of company x , 1 / 6 are clerical . if the clerical staff were to be reduced by 1 / 3 , what percent of the total number of the remaining employees would then be clerical ?

0general

two trains leave a station traveling in the same direction . train a leaves traveling at a constant speed of 50 mph , while train b leaves traveling at a constant speed of 80 mph . if train b left the station 30 minutes after train a left , in how many minutes will train b overtake train a ?

1physics

if 4 : 6 : : x : 36 , then find the value of x

0general

what is the value of 4 ^ 6 + 4 ^ 8 ?

0general

let the least number of 6 digits , which when divided by 4 , 610 and 15 leaves in each case the same remainder of 2 , be n . the sum of the digits in n is :

0general

if a = 105 and a ^ 3 = 21 * 25 * 35 * b , what is the value of b ?

0general

what is the maximum number of pieces of birthday cake of size 2 ” by 2 ” that can be cut from a cake 20 ” by 20 ” ?

1physics

how many positive integers less than 50 are multiples of 2 but not multiples of 5 ?

0general

if | 4 x + 14 | = 46 , what is the sum of all the possible values of x ?

0general

what is the least number . which should be added to 0.0282 to make it a perfect square ?

0general

at the faculty of aerospace engineering , 302 students study random - processing methods , 232 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ?

5other

in a group of 100 people , 55 have visited iceland and 43 have visited norway . if 61 people have visited both iceland and norway , how many people have visited neither country ?

5other

a car was driving at 60 km / h for 20 minutes , and then at 90 km / h for another 40 minutes . what was its average speed ?

0general

if ( a + b ) = 5 , ( b + c ) = 9 and ( c + d ) = 3 , what is the value of ( a + d ) ?

0general

in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 13 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?

2gain

150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution . find the approximate concentration c of the acid in the mixture ?

0general

a , b and c invests rs . 2000 , rs . 3000 and rs . 4000 in a business . after one year a removed his money ; b and c continued the business for one more year . if the net profit after 2 years be rs . 3200 , then a ' s share in the profit is ?

2gain

a train is moving at a speed of 100 km / hour . the length of the train is 100 metre . in how much time will it cross a pole ?

1physics

a ladder 14 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 9 feet from the base of the wall . if the top of the ladder slips down 1 feet , how many feet will the bottom of the ladder slip ?

2gain

a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 30 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ?

2gain

a train 330 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?

1physics

a completes 80 % of a work in 20 days . then b also joins and a and b together finish the remaining work in 3 days . how long does it need for b if he alone completes the work ?

1physics

if - 3 / ( a - 3 ) = 3 / ( a + 2 ) , then a = ?

0general

company p had 15 percent more employees in december than it had in january . if company p had 460 employees in december , how many employees did it have in january ?

2gain

if rs . 782 be divided into 3 parts , proportional to 1 / 2 : 1 / 3 : 3 / 4 , then the second part is ?

0general

a number is doubled and 5 is added . if the resultant is trebled , it becomes 117 . what is that number ?

0general

find out the c . i on rs . 5000 at 4 % p . a . compound half - yearly for 1 1 / 2 years .

0general

what is the greatest of 3 consecutive integers whose sum is 24 ?

1physics

i sold a book at a profit of 10 % . had i sold it for $ 120 more , 15 % would have been gained . find the cost price ?

2gain

how much is 25 % of 40 is greater than 4 / 5 of 25 ?

0general

in a division , divident is 760 , divisior is 36 and quotient is 21 . find the remainder .

0general

a certain car uses 12 gallons of gasoline in traveling 360 miles . in order for the car to travel the same distance using 10 gallons of gasoline , by how many miles per gallon must the car ’ s gas mileage be increased ?

1physics

in an election between two candidates - lange and sobel - 70 % of the voters voted for sobel . of the election ` s voters , 60 % were male . if 35 % of the female voters voted for lange , what percentage of the male voters voted for sobel ?

2gain

a 100 - litre mixture of milk and water contains 49 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 25 % . what is the value of x ?

0general

the standard deviation of a normal distribution of data is 2 , and 3 standard deviations below the mean is greater than 46 . what is a possible value for the mean of the distribution ?

0general

4 friends a , b , c and d decided to share a lot of apples . each of them had half of the total plus half an apple in order . after each of them took their share 3 time , no apples were left . how many apples were there ?

0general

two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 16 hours and 4 hours respectively . the ratio of their speeds is :

1physics

a certain family has 3 sons : richard is 6 years older than david , and david is 8 years older than scott . if in 8 years , richard will be twice as old as scott , then how old was david 2 years ago ?

0general

a river 4 m deep and 22 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is ?

1physics

a drink vendor has 40 liters of maaza , 144 liters of pepsi and 368 liters of sprite . he wants to pack them in cans , so that each can contains the same number of liters of a drink , and does n ' t want to mix any two drinks in a can . what is the least number of cans required ?

0general

if x is 3 times larger than n , and if 2 n + 3 is 20 % of 25 , what is the value of ?

0general

a one - foot stick is marked in 1 / 3 and 1 / 5 portion . how many total markings will there be , including the end points ?

0general

sachin is younger than rahul by 6 years . if their ages are in the respective ratio of 7 : 9 , how old is sachin ?

5other

in arun ' s opinion , his weight is greater than 64 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 67 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ?

0general

in may , the grounds keeper at spring lake golf club built a circular green with an area of 25 square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ?

3geometry

two trains are moving in opposite directions with speed of 110 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds

1physics

in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,10 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ?

3geometry

into a room you store 38 black bottles and 4 green bottles , and you turn off the light . if you ask to someone look for 2 bottles without turn on the light , what is the probability of both the selected bottles will be green ?

5other

a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 27000 . a ' s share is ?

2gain

a man swims downstream 120 km and upstream 50 km taking 5 hours each time ; what is the speed of the current ?

1physics

pat , kate and mark charged a total of 198 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much times as mark , how many more hours did mark charge to the project than kate .

0general

in the junior basketball league there are 18 teams , 1 / 3 of them are bad and ½ are rich . what ca n ' t be the number of teams that are rich and bad ?

0general

kul is 22 years old and saras is 33 years . find the ratio of saras ' s age to kul ' s age .

5other

what is the cp of rs 100 stock at 7 discount , with 1 / 5 % brokerage ?

2gain

right triangle pqr is the base of the prism in the figure above . if pq = pr = â ˆ š 14 and the height of the prism is 8 , what is the volume of the prism ?

3geometry

a city with a population of 97,500 is to be divided into 6 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district . what is the minimum possible population that the least populated district could have ?

0general

find the c . i . on a sum of rs . 1800 for 6 months at 20 % per annum , interest being compounded quarterly ?

2gain

in a recent election , james received 15 percent of the 10000 votes cast . to win the election , a candidate needed to receive more than 51 percent of the vote . how many additional votes would james have needed to win the election ?

0general

how many 5 digit ( digit = 0 - 9 ) zip codes can exist in which at least one digit is repeated ?

0general

a train 400 m long is running at a speed of 54 km / hr . if it crosses a tunnel in 2 minutes . then what is the length of tunnel ?

1physics

if i walk at 3 km / h , i miss the bus by 12 minutes . if i walk at 6 km / h , i reach 10 minutes before the arrival of the bus . how far i walk to reach the bus stand ?

1physics

g ( x ) is defined as the product of all even integers k such that 0 < k ≤ x . for example , g ( 14 ) = 2 × 4 × 6 × 8 × 10 × 12 × 14 . if g ( e ) is divisible by 4 ^ 11 , what is the smallest possible value for e ?

0general

the ratio of boarders to day students at a school was originally 5 to 12 . however , after a number of new boarders join the initial 220 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ?

5other

recipe requires 15 mins to cook . you have 7 mins hourglass and a 11 mins hourglass with you . how will you measure 15 mins using them ?

1physics

what will be the result of 7 ^ 8 - 6 / 2 + 9 ^ 3 + 3 + 12 ?

0general

erik ' s mother gave him $ 86 to go to the store . erik bought 3 loaves of bread and 3 cartons of orange juice . each loaf of bread cost $ 3 and each carton of orange juice cost $ 6 . how much money does erik have left ?

0general

the value of a machine depreciates at 22 % per annum . if its present value is $ 1 , 50,000 , at what price should it be sold after two years such that a profit of $ 24,000 is made ?

2gain

a team won 50 percent of its first 60 games in a particular season , and 80 percent of its remaining games . if the team won a total of 65 percent of its games that season , what was the total number of games that the team played ?

2gain

in a class of 210 students , 70 did not opt for math . 55 did not opt for science and 42 did not opt for either . how many students of the class opted for both math and science ?

5other

1 ltr of water is added with 3 ltr of a solution containing 33 % of alcohol in the water . the % of alcohol in the new mixture is ?

0general

12 welders work at a constant rate they complete an order in 8 days . if after the first day , 9 welders start to work on the other project , how many more days the remaining welders will need to complete the rest of the order ?

1physics

a ’ s speed is 20 / 15 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

the sum of the even numbers between 1 and n is 81 * 82 , where n is an odd number , then n = ?

0general

saleem bought 4 baskets with the average cost of $ 4 . if saleem also buys the fifth basket with the price of $ 8 , what is the average ( arithmetic mean ) price of those 5 baskets ?

0general

when n is divided by 5 the remainder is 3 . what is the remainder when n ^ 2 is divided by 5 ?

0general

a rectangular swimming pool is 20 feet by 28 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 884 square feet . what is the width of the deck ?

3geometry

in a covering a distance of 30 km , abhay takes 2 hours more than sameer . if abhay double his speed , then he would take 1 hour less than sammer . abhay ' s speed is ?

1physics

from a pack of 52 cards , 1 card is drawn at random . what is the probability that a jack , queen , or king is drawn ?

4probability

a sum was put at simple interest at a certain rate for 9 years had it been put at 5 % higher rate , it would have fetched 1350 more . find the sum .

2gain

three table runners have a combined area of 224 square inches . by overlapping the runners to cover 80 % of a table of area 175 square inches , the area that is covered by exactly two layers of runner is 24 square inches . what is the area of the table that is covered with three layers of runner ?

3geometry

this year , mbb consulting fired 9 % of its employees and left remaining employee salaries unchanged . sally , a first - year post - mba consultant , noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before . the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction ?

0general

the sum of two consecutive integers is 21 . find the numbers .

1physics

one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill the tank in 35 minutes , then the slower pipe alone will be able to fill the tank in

1physics

if k is a non - negative integer and 15 ^ k is a divisor of 823,435 then 5 ^ k - k ^ 5 =

0general

p alone can complete a job in 5 days . the work done by q alone in one day is equal to one - fourth of the work done by p alone in one day . in how many days can the work be completed if p and q work together ?

1physics

the number of the members of a club is more than 10 and less than 40 . when 3 people sit at a table , other people exactly divided to 6 - people groups ( 6 people sit at a table ) or 5 - people groups ( 5 people sit at a table ) . if the members are divided to 7 - people groups , how many people will be left ?

0general

what must be added to each of the numbers 7 , 11 and 19 , so that the resulting numbers may be in continued proportion ?

0general