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

Problem stringlengths 5 967	category class label 6 classes
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 6 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ?	5other
what is 1 percent of 12,356 ?	2gain
if x is to be chosen at random from the set { 1 , 2 , 3 , 4 } and y is to be chosen at random from the set { 5 , 6 } , what is the probability that xy will be even ?	4probability
sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 35 % nuts , what percent of the combined mixture is dried fruit ?	2gain
a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 70 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ?	5other
the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 24 minutes is :	1physics
the instructions state that cheryl needs 4 / 9 square yards of one type of material and 2 / 3 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 8 / 18 square yards left that she did not use . what is the total amount of square yards of material cheryl used ?	0general
a sells a bicycle to b at a profit of 30 % and b sells it to c at a loss of 20 % . find the resultant profit or loss .	2gain
a man can row at 6 kmph in still water . if the velocity of current is 2 kmph and it takes him 2 hour to row to a place and come back , how far is the place ?	1physics
in a survey of 335 employees , 104 of them are uninsured , 54 work part time , and 12.5 percent of employees who are uninsured work part time . if a person is to be randomly selected from those surveyed , what is the probability that the person will neither work part time nor be uninsured ?	1physics
a $ 500 investment and a $ 1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1 , 500 investment have ?	2gain
8 : 4 seconds : : ? : 4 minutes	1physics
a river 2 m deep and 45 m wide is flowing at the rate of 7 kmph the amount of water that runs into the sea per minute is ?	1physics
what is the area of square field whose side of length 10 m ?	3geometry
at a local appliance manufacturing facility , the workers received a 25 % hourly pay raise due to extraordinary performance . if one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged , by approximately what percent would he reduce the number of hours that he worked ?	2gain
if 625 ^ ( - x ) + 5 ^ ( - 2 x ) + 5 ^ ( - 4 x ) = 15 , what is the value of x ?	0general
the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?	3geometry
a car dealership has 40 cars on the lot , 10 % of which are silver . if the dealership receives a new shipment of 80 cars , 25 % of which are not silver , what percentage of total number of cars are silver ?	2gain
apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram . if the price of 33 kilograms is 333 and for 36 kgs of apples is 366 then the cost of first 15 kgs of apples is	5other
the sub - duplicate ratio of 16 : 36 is	5other
there are 2 red chips and 4 blue ones . when arranged in a row , they form a certain color pattern , for example rbrrb . how many color patterns ?	0general
a can give b 70 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?	1physics
find the area of trapezium whose parallel sides are 10 cm and 18 cm long , and the distance between them is 10.00001 cm .	1physics
a car drives 40 miles on local roads at 20 mph , and 180 miles on the highway at 60 mph , what is the average speed of the entire trip ?	1physics
a man sold 18 toys for rs . 16800 , gaining thereby the cost price of 3 toy find the cost price of a toy	2gain
in the coordinate plane , points ( x , 1 ) and ( 10 , y ) are on line k . if line k passes through the origin and has slope 1 / 4 , then x + y =	0general
a doctor prescribed 20 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds . if the typical dosage is 2 cubic centimeters per 15 pounds of the body weight , by what percent was the prescribed dosage greater than the typical dosage ?	2gain
the ratio between the present age of p and q is 6 : 7 . if q is 4 years old then p , what will be the ratio of the ages of p and q after 4 year ?	5other
3 people have $ 28 , $ 72 , and $ 98 , respectively . if they pool their money then redistribute it among them , what is the maximum value for the median amount of money ?	0general
if a is an integer greater than 2 but less than 11 and b is an integer greater than 11 but less than 21 , what is the range of a / b ?	0general
at what price must an article costing rs . 100 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?	2gain
how long does a train 110 m long running at a speed of 72 kmph take to cross a bridge 132 m in length ?	1physics
a train 110 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
a person can swim in still water at 4 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 6 km ?	1physics
in an election , candidate x got 75 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favour of candidate ?	0general
the average of first 15 natural numbers is ?	0general
at 6 ′ o a clock ticks 6 times . the time between first and last ticks is 35 seconds . how long does it tick at 12 ′ o clock	1physics
a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 20 as remainder . find the no . is ?	0general
a case contains c cartons . each carton contains b boxes , and each box contains 300 paper clips . how many paper clips are contained in 2 cases ?	0general
solve the equation for x : 2 x - 21 + 3 x = 4 + 9 - x	0general
how many positive integers less than 5,000 are evenly divisible by neither 15 nor 20 ?	0general
the cost price of an article is 70 % of the marked price . calculate the gain percent after allowing a discount of 10 % .	2gain
lola rolls a die 3 times . what is the probability that she gets a 4 on the last one of the 3 rolls ?	4probability
the contents of a certain box consist of 48 apples and 30 kiwis . how many kiwis must be added to the box so that exactly 30 % of the pieces of fruit in the box will be apples ?	0general
a rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn . if the area of the lawn is 2109 sq . m , then what is the width of the road ?	3geometry
a group of people participate in some curriculum , 35 of them practice yoga , 20 study cooking , 15 study weaving , 7 of them study cooking only , 5 of them study both the cooking and yoga , 3 of them participate all curriculums . how many people study both cooking and weaving ?	5other
a can finish a work in 48 days , b in 9 days and c in 2 days , b and c start the work but are forced to leave after 3 days . the remaining work was done by a in ?	1physics
the length of the bridge , which a train 140 metres long and travelling at 45 km / hr can cross in 30 seconds , is :	1physics
in a certain animal shelter , the ratio of the number of catsto the number of dogs is 15 to 7 . if 16 additional dogs were to be taken in by the shelter , the ratio of the number of cats to the number of dogs would be 15 to 11 . how many cats are in the shelter ?	5other
for the positive integers x , x + 2 , x + 4 , x + 7 , and x + 32 , the mean is how much greater than the median ?	0general
the ratio of the volumes of two cubes is 27 : 64 . what is the ratio of their total surface areas ?	3geometry
a driver would have reduced the time it took to drive from home to the store by 1 / 3 if the average speed had been increased by 18 miles per hour . what was the actual average speed , in miles per hour , when the driver drove from home to the store ?	0general
what is the probability q of randomly selecting an arrangement of the letters of the wordmediterraneanin which the first letter is e and the last letter is r ?	4probability
the speed of a train is 90 kmph . what is the distance covered by it in 20 minutes ?	1physics
a man can row downstream at the rate of 45 kmph and upstream at 23 kmph . find the man ’ s rate in still water and rate of current ?	2gain
how many numbers from 9 to 79 are exactly divisible by 11 ?	0general
the speed of a car is 20 km in the first hour and 60 km in the second hour . what is the average speed of the car ?	1physics
what least number should be added to 1053 , so that the sum is completely divisible by 23	0general
an error 5 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is	2gain
the average weight of 6 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ?	0general
which greatest possible length can be used to measure exactly 10 meter 40 cm , 14 meter 10 cm and 7 meter 90 cm	1physics
a shopkeeper sells 200 metres of cloth for rs . 12000 at a loss of rs . 6 per metre . find his cost price for one metre of cloth ?	2gain
in what ratio must rice at $ 9.30 / kg be mixed with rice at $ 10.80 / kg so that the mixture is worth $ 10 / kg ?	0general
a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter q of liquid a was contained by the can initially ?	5other
a sum of money at simple interest amounts to rs . 855 in 3 years and to rs . 854 in 4 years . the sum is :	2gain
a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100 . if the sale price of each machine was $ 10,000 and the salesperson received a $ 42,000 commission , how many machines did she sell ?	2gain
in a class of students , 1 / 2 of the number of girls is equal to 1 / 6 of the total number of students . what is the ratio of boys to girls in the class ?	0general
if x is less than y by 45 % then y exceed x by :	0general
if the least common multiple of two prime numbers x and y is 77 , where x > y , then the value of 2 x + y is	0general
convert 0.35 in to a vulgar fraction ?	1physics
how many multiples of 10 are there between 10 and 1000 , exclusive ?	0general
find the average of all the numbers between 6 and 29 which are divisible by 5 ?	0general
train a leaves the station traveling at 30 miles per hour . two hours later train в leaves the same station traveling in the same direction at 36 miles per hour . how many miles from the station was train a overtaken by train b ?	1physics
in a flight of 600 km , an aircraft was slowed down due to bad weather . its average speed for the trip was reduced by 200 km / hr and the time of flight increased by 30 minutes . the duration of the flight is ?	0general
solve the quickfire maths brain teaser √ 9 % = ?	2gain
balls of equal size are arranged in rows to form an equilateral triangle . the top most row consists of one ball , the 2 nd row of two balls and so on . if 789 balls are added , then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did . how many balls made up the triangle ?	0general
the average of 20 numbers is calculated as 30 . it is discovered later on that while calculating the average , one number namely 36 was wrongly read as 26 . the correct average is ?	0general
when n is divided by 12 , the remainder is 2 . what is the remainder when 4 n is divided by 5 ?	0general
s is a set of 64 consecutive multiples of 4 . if the smallest number in s is 68 , then the greatest number in s is	0general
the “ s - number ” of a number x is defined as the ones digit of 2 ^ x . antony rolls a die with 6 sides labeled with the integers from 1 to 6 , each of which has an equal probability of landing face - up . he then takes 3 ^ s , where s is the s - number of the result of his die roll , and plots 3 ^ s on a number line as the point a . finally , he repeats this entire process , this time plotting the result as the point b . what is the probability that the distance between a and b is greater than the value of b ?	0general
two numbers are respectively 20 % and 50 % more than a third number . what percentage is the first of the second ?	2gain
calculate how much time could be saved if the train would run at its usual speed , given that it ran at 3 / 4 of its own speed and got to its destination in 10 hours ?	1physics
angelina walked 1200 meters from her home to the grocery at a constant speed . she then walked 480 meters to the gym at double the speed . she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ?	1physics
a waiter ' s salary consists of his salary and tips . during one week his tips were 5 / 2 of his salary . what fraction of his income came from tips ?	0general
if a certain number x is divided by 82 , the reminder is 5 . what is the reminder when x + 7 is divided by 41 ?	0general
a reduction of 50 % in the price of apples would enable a man to obtain 80 more for rs . 55 , what is reduced price per dozen ?	2gain
what is the next number : 3 , 18 , 258 , __	0general
cindy has her eye on a sundress but thinks it is too expensive . it goes on sale for 15 % less than the original price . before cindy can buy the dress , however , the store raises the new price by 25 % . if the dress cost $ 85 after it went on sale for 15 % off , what is the difference between the original price and the final price ?	0general
how many books each of volume 200 meter cube can be packed into a crate of volume 4000 meter cube ?	3geometry
a committee is reviewing a total of 20 x black - and - white films and 6 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction q of the selected films are in color ?	0general
a train travels 125 km in 2.5 hours and 270 km in 3 hours . find the average speed of train .	1physics
if 4 x = 6 y = z , what is x + y , in terms of z ?	0general
when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 7 ] * [ 8 ] = ?	0general
the price of a car is marked at $ 12,000 . if the car has successive discounts of 20 % , 15 % and 5 % , then at what price does a customer buy the car ?	2gain
a dealer offers a cash discount of 10 % and still makes a profit of 20 % when he further allows 45 articles to be sold at the cost price of 40 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ?	2gain
at the end of year x , automobile installment credit accounted for 20 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 57 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ?	0general
a man can row upstream at 32 kmph and downstream at 48 kmph , and then find the speed of the man in still water ?	1physics
the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling alongthe oundary of the park at the speed of 12 km / hr completes one round in 8 minutes , then the area of the park ( in sq . m ) is	1physics
the radius of the two circular fields is in the ratio 3 : 10 the area of the first field is what percent less than the area of the second ?	3geometry
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 24 days . if 60 more cows and 30 more buffaloes are brought in , how many days will the fodder last ?	0general

two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 6 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ?

5other

what is 1 percent of 12,356 ?

2gain

if x is to be chosen at random from the set { 1 , 2 , 3 , 4 } and y is to be chosen at random from the set { 5 , 6 } , what is the probability that xy will be even ?

4probability

sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 35 % nuts , what percent of the combined mixture is dried fruit ?

2gain

a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 70 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ?

5other

the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 24 minutes is :

1physics

the instructions state that cheryl needs 4 / 9 square yards of one type of material and 2 / 3 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 8 / 18 square yards left that she did not use . what is the total amount of square yards of material cheryl used ?

0general

a sells a bicycle to b at a profit of 30 % and b sells it to c at a loss of 20 % . find the resultant profit or loss .

2gain

a man can row at 6 kmph in still water . if the velocity of current is 2 kmph and it takes him 2 hour to row to a place and come back , how far is the place ?

1physics

in a survey of 335 employees , 104 of them are uninsured , 54 work part time , and 12.5 percent of employees who are uninsured work part time . if a person is to be randomly selected from those surveyed , what is the probability that the person will neither work part time nor be uninsured ?

1physics

a $ 500 investment and a $ 1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1 , 500 investment have ?

2gain

8 : 4 seconds : : ? : 4 minutes

1physics

a river 2 m deep and 45 m wide is flowing at the rate of 7 kmph the amount of water that runs into the sea per minute is ?

1physics

what is the area of square field whose side of length 10 m ?

3geometry

at a local appliance manufacturing facility , the workers received a 25 % hourly pay raise due to extraordinary performance . if one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged , by approximately what percent would he reduce the number of hours that he worked ?

2gain

if 625 ^ ( - x ) + 5 ^ ( - 2 x ) + 5 ^ ( - 4 x ) = 15 , what is the value of x ?

0general

the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?

3geometry

a car dealership has 40 cars on the lot , 10 % of which are silver . if the dealership receives a new shipment of 80 cars , 25 % of which are not silver , what percentage of total number of cars are silver ?

2gain

apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram . if the price of 33 kilograms is 333 and for 36 kgs of apples is 366 then the cost of first 15 kgs of apples is

5other

the sub - duplicate ratio of 16 : 36 is

5other

there are 2 red chips and 4 blue ones . when arranged in a row , they form a certain color pattern , for example rbrrb . how many color patterns ?

0general

a can give b 70 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?

1physics

find the area of trapezium whose parallel sides are 10 cm and 18 cm long , and the distance between them is 10.00001 cm .

1physics

a car drives 40 miles on local roads at 20 mph , and 180 miles on the highway at 60 mph , what is the average speed of the entire trip ?

1physics

a man sold 18 toys for rs . 16800 , gaining thereby the cost price of 3 toy find the cost price of a toy

2gain

in the coordinate plane , points ( x , 1 ) and ( 10 , y ) are on line k . if line k passes through the origin and has slope 1 / 4 , then x + y =

0general

a doctor prescribed 20 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds . if the typical dosage is 2 cubic centimeters per 15 pounds of the body weight , by what percent was the prescribed dosage greater than the typical dosage ?

2gain

the ratio between the present age of p and q is 6 : 7 . if q is 4 years old then p , what will be the ratio of the ages of p and q after 4 year ?

5other

3 people have $ 28 , $ 72 , and $ 98 , respectively . if they pool their money then redistribute it among them , what is the maximum value for the median amount of money ?

0general

if a is an integer greater than 2 but less than 11 and b is an integer greater than 11 but less than 21 , what is the range of a / b ?

0general

at what price must an article costing rs . 100 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?

2gain

how long does a train 110 m long running at a speed of 72 kmph take to cross a bridge 132 m in length ?

1physics

a train 110 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

a person can swim in still water at 4 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 6 km ?

1physics

in an election , candidate x got 75 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favour of candidate ?

0general

the average of first 15 natural numbers is ?

0general

at 6 ′ o a clock ticks 6 times . the time between first and last ticks is 35 seconds . how long does it tick at 12 ′ o clock

1physics

a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 20 as remainder . find the no . is ?

0general

a case contains c cartons . each carton contains b boxes , and each box contains 300 paper clips . how many paper clips are contained in 2 cases ?

0general

solve the equation for x : 2 x - 21 + 3 x = 4 + 9 - x

0general

how many positive integers less than 5,000 are evenly divisible by neither 15 nor 20 ?

0general

the cost price of an article is 70 % of the marked price . calculate the gain percent after allowing a discount of 10 % .

2gain

lola rolls a die 3 times . what is the probability that she gets a 4 on the last one of the 3 rolls ?

4probability

the contents of a certain box consist of 48 apples and 30 kiwis . how many kiwis must be added to the box so that exactly 30 % of the pieces of fruit in the box will be apples ?

0general

a rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn . if the area of the lawn is 2109 sq . m , then what is the width of the road ?

3geometry

a group of people participate in some curriculum , 35 of them practice yoga , 20 study cooking , 15 study weaving , 7 of them study cooking only , 5 of them study both the cooking and yoga , 3 of them participate all curriculums . how many people study both cooking and weaving ?

5other

a can finish a work in 48 days , b in 9 days and c in 2 days , b and c start the work but are forced to leave after 3 days . the remaining work was done by a in ?

1physics

the length of the bridge , which a train 140 metres long and travelling at 45 km / hr can cross in 30 seconds , is :

1physics

in a certain animal shelter , the ratio of the number of catsto the number of dogs is 15 to 7 . if 16 additional dogs were to be taken in by the shelter , the ratio of the number of cats to the number of dogs would be 15 to 11 . how many cats are in the shelter ?

5other

for the positive integers x , x + 2 , x + 4 , x + 7 , and x + 32 , the mean is how much greater than the median ?

0general

the ratio of the volumes of two cubes is 27 : 64 . what is the ratio of their total surface areas ?

3geometry

a driver would have reduced the time it took to drive from home to the store by 1 / 3 if the average speed had been increased by 18 miles per hour . what was the actual average speed , in miles per hour , when the driver drove from home to the store ?

0general

what is the probability q of randomly selecting an arrangement of the letters of the wordmediterraneanin which the first letter is e and the last letter is r ?

4probability

the speed of a train is 90 kmph . what is the distance covered by it in 20 minutes ?

1physics

a man can row downstream at the rate of 45 kmph and upstream at 23 kmph . find the man ’ s rate in still water and rate of current ?

2gain

how many numbers from 9 to 79 are exactly divisible by 11 ?

0general

the speed of a car is 20 km in the first hour and 60 km in the second hour . what is the average speed of the car ?

1physics

what least number should be added to 1053 , so that the sum is completely divisible by 23

0general

an error 5 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is

2gain

the average weight of 6 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ?

0general

which greatest possible length can be used to measure exactly 10 meter 40 cm , 14 meter 10 cm and 7 meter 90 cm

1physics

a shopkeeper sells 200 metres of cloth for rs . 12000 at a loss of rs . 6 per metre . find his cost price for one metre of cloth ?

2gain

in what ratio must rice at $ 9.30 / kg be mixed with rice at $ 10.80 / kg so that the mixture is worth $ 10 / kg ?

0general

a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter q of liquid a was contained by the can initially ?

5other

a sum of money at simple interest amounts to rs . 855 in 3 years and to rs . 854 in 4 years . the sum is :

2gain

a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100 . if the sale price of each machine was $ 10,000 and the salesperson received a $ 42,000 commission , how many machines did she sell ?

2gain

in a class of students , 1 / 2 of the number of girls is equal to 1 / 6 of the total number of students . what is the ratio of boys to girls in the class ?

0general

if x is less than y by 45 % then y exceed x by :

0general

if the least common multiple of two prime numbers x and y is 77 , where x > y , then the value of 2 x + y is

0general

convert 0.35 in to a vulgar fraction ?

1physics

how many multiples of 10 are there between 10 and 1000 , exclusive ?

0general

find the average of all the numbers between 6 and 29 which are divisible by 5 ?

0general

train a leaves the station traveling at 30 miles per hour . two hours later train в leaves the same station traveling in the same direction at 36 miles per hour . how many miles from the station was train a overtaken by train b ?

1physics

in a flight of 600 km , an aircraft was slowed down due to bad weather . its average speed for the trip was reduced by 200 km / hr and the time of flight increased by 30 minutes . the duration of the flight is ?

0general

solve the quickfire maths brain teaser √ 9 % = ?

2gain

balls of equal size are arranged in rows to form an equilateral triangle . the top most row consists of one ball , the 2 nd row of two balls and so on . if 789 balls are added , then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did . how many balls made up the triangle ?

0general

the average of 20 numbers is calculated as 30 . it is discovered later on that while calculating the average , one number namely 36 was wrongly read as 26 . the correct average is ?

0general

when n is divided by 12 , the remainder is 2 . what is the remainder when 4 n is divided by 5 ?

0general

s is a set of 64 consecutive multiples of 4 . if the smallest number in s is 68 , then the greatest number in s is

0general

the “ s - number ” of a number x is defined as the ones digit of 2 ^ x . antony rolls a die with 6 sides labeled with the integers from 1 to 6 , each of which has an equal probability of landing face - up . he then takes 3 ^ s , where s is the s - number of the result of his die roll , and plots 3 ^ s on a number line as the point a . finally , he repeats this entire process , this time plotting the result as the point b . what is the probability that the distance between a and b is greater than the value of b ?

0general

two numbers are respectively 20 % and 50 % more than a third number . what percentage is the first of the second ?

2gain

calculate how much time could be saved if the train would run at its usual speed , given that it ran at 3 / 4 of its own speed and got to its destination in 10 hours ?

1physics

angelina walked 1200 meters from her home to the grocery at a constant speed . she then walked 480 meters to the gym at double the speed . she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ?

1physics

a waiter ' s salary consists of his salary and tips . during one week his tips were 5 / 2 of his salary . what fraction of his income came from tips ?

0general

if a certain number x is divided by 82 , the reminder is 5 . what is the reminder when x + 7 is divided by 41 ?

0general

a reduction of 50 % in the price of apples would enable a man to obtain 80 more for rs . 55 , what is reduced price per dozen ?

2gain

what is the next number : 3 , 18 , 258 , __

0general

cindy has her eye on a sundress but thinks it is too expensive . it goes on sale for 15 % less than the original price . before cindy can buy the dress , however , the store raises the new price by 25 % . if the dress cost $ 85 after it went on sale for 15 % off , what is the difference between the original price and the final price ?

0general

how many books each of volume 200 meter cube can be packed into a crate of volume 4000 meter cube ?

3geometry

a committee is reviewing a total of 20 x black - and - white films and 6 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction q of the selected films are in color ?

0general

a train travels 125 km in 2.5 hours and 270 km in 3 hours . find the average speed of train .

1physics

if 4 x = 6 y = z , what is x + y , in terms of z ?

0general

when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 7 ] * [ 8 ] = ?

0general

the price of a car is marked at $ 12,000 . if the car has successive discounts of 20 % , 15 % and 5 % , then at what price does a customer buy the car ?

2gain

a dealer offers a cash discount of 10 % and still makes a profit of 20 % when he further allows 45 articles to be sold at the cost price of 40 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ?

2gain

at the end of year x , automobile installment credit accounted for 20 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 57 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ?

0general

a man can row upstream at 32 kmph and downstream at 48 kmph , and then find the speed of the man in still water ?

1physics

the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling alongthe oundary of the park at the speed of 12 km / hr completes one round in 8 minutes , then the area of the park ( in sq . m ) is

1physics

the radius of the two circular fields is in the ratio 3 : 10 the area of the first field is what percent less than the area of the second ?

3geometry

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 24 days . if 60 more cows and 30 more buffaloes are brought in , how many days will the fodder last ?

0general