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

Problem stringlengths 5 967	category class label 6 classes
the smallest fraction , which each of 6 / 7 , 5 / 14 , 10 / 21 will divide exactly is :	0general
what is rate of interest if principal . amount be 400 , simple interest 180 and time 2 year .	2gain
find the smallest number which when divided by 11 and 12 leaves respective remainders of 2 and 3 .	0general
david biked 16 1 / 3 miles in 2 hours and 20 minutes . what was his average rate of speed in miles per hour ?	1physics
if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 6 k , what is one possible value for k ?	0general
a box contains either blue or red flags . the total number of flags in the box is an even number . a group of children are asked to pick up two flags each . if all the flags are used up in the process such that 60 % of the children have blue flags , and 50 % have red flags , what percentage of children have flags of both the colors ?	0general
find the compound interest on rs . 16,000 at 20 % per annum for 9 months , compounded quartely .	2gain
find the ones digit of 73 ^ 330	0general
the mean of 50 observations was 36 . it was found later that an observation 28 was wrongly taken as 23 . the corrected new mean is :	0general
the rate of interest on a sum of money is 9 % p . a . for the first 3 years , 4 % p . a . for the next 4 years , and 5 % for the period beyond 7 years . if the s . i , occured on the sum for the total period of 8 years is rs . 540 / - , the sum is	0general
in a games hour 4 different types of players came to the ground ? cricket 22 , hokey 15 , football 21 , softball 19 . how many players are present in the ground ?	1physics
an alloy is to contain copper and zinc in the ratio 5 : 3 . the zinc required to be melted with 40 kg of copper is ?	5other
if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 348 , the cost of the article is	2gain
solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 200 milliliters of solution x to create a solution that is 20 percent alcohol by volume ?	0general
the ratio 6 : 3 expressed as a percent equals	0general
the average weight of 8 person ' s increases by 6 kg when a new person comes in place of one of them weighing 40 kg . what might be the weight of the new person ?	0general
a and b are two partially filled buckets of water . if 8 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 8 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ?	0general
16 men can complete a piece of work in 25 days . in how many days can 20 men complete that piece of work ?	1physics
a man traveled a total distance of 900 km . he traveled one - third of the whole trip by plane and the distance traveled by train is one - half of the distance traveled by bus . if he traveled by train , plane and bus , how many kilometers did he travel by bus ?	1physics
if a no . when divided by 44 , gives 432 as quotient and 0 as remainder . what will be the remainder when dividing the same no . by 30	0general
in country z , 18 % of the people do not have a university diploma but have the job of their choice , and 25 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ?	2gain
if 0.5 of a number is equal to 0.09 of another number , the ratio of the numbers i	5other
two trains t 1 and t 2 start simultaneously from two stations x and y respectively towards each other . if they are 70 km apart both 3 and 6 hours after start , then find the distance between the two stations .	1physics
among 7 numbers the average of first 4 numbers is 13 and the average of last 4 numbers is 15 . the sum of last 3 numbers is 55 . the square of the fourth number is equal to the last number then what is the last number ?	0general
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 12 miles per hour . what was the actual average speed , in miles per hour , when the driver drove from home to the store ?	0general
the sum of all the digits of the integers from 18 to 21 inclusive is 24 ( 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24 ) . what is the sum q of all the digits of the integers from 0 to 99 inclusive ?	0general
a man has rs . 10350 in the form of rs . 50 notes and rs . 500 notes . the total number of notes are 126 . find the number of notes of rs . 50 denomination .	0general
a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 33 . find the profit percentage ?	2gain
each factor of 230 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 42 ?	5other
3 different containers contain 496 litres , 403 litres and 713 litres of mixtures of milk and water respectively . what biggest measure can measure all the different quantities exactly ?	1physics
12 persons can complete the work in 18 days . after working for 6 days , 4 more persons added to complete the work fast . in how many more days they will complete the work ?	1physics
there are 870 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ?	0general
is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 37 , then how old is b ?	0general
a and b invests rs . 10000 each , a investing for 9 months and b investing for all the 12 months in the year . if the total profit at the end of the year is rs . 21000 , find their shares ?	2gain
a batsman scored 150 runs which included 5 boundaries and 5 sixes . what percent of his total score did he make by running between the wickets .	0general
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 7380 km and comes back to the starting point . the total time taken by him is :	1physics
a jar of 220 marbles is divided equally among a group of marble - players today . if 2 people joined the group in the future , each person would receive 1 marble less . how many people are there in the group today ?	0general
a train running at the speed of 60 km / hr crosses a pole in 6 seconds . find the length of the train ?	1physics
a chemist mixes one liter of pure water with x liters of a 60 % salt solution , and the resulting mixture is a 20 % salt solution . what is the value of x ?	2gain
if a and b are the roots of the equation x 2 - 4 x + 4 = 0 , then the value of a 2 + b 2 is :	0general
if a town of 75,000 people is growing at a rate of approx . 1 % per year , the population of the town in 5 years will be closest to ?	2gain
the total cost of 100 paper plates and 200 paper cups is $ 4.00 at the same rates what is the total cost of 20 of the plates and 40 of the cups ?	2gain
which greatest possible length can be used to measure exactly 15 meter 75 cm , 11 meter 25 cm and 7 meter 65 cm	1physics
if ( m - 8 ) is a factor of m ^ 2 - sm - 24 , then s =	0general
a dice has one of the first 4 prime number on each its 6 sides , with no two sides having the same number . the dice is rolled 10 times and the results added . the addition is most likely to be closet to	0general
each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.7 % , what fraction of the products was checked by worker y ?	0general
40 men took a dip in a water tank 40 m long and 20 m broad on a religious day . if the average displacement of water by a man is 4 m 3 , then the rise in the water level in the tank will be :	1physics
if a is thrice as fast as b and together can do a work in 18 days . in how many days a alone can do the work ?	1physics
what is the average of first 21 multiples of 4 ?	0general
a factory produces 3400 toys per week . if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?	1physics
if the cost price is 99 % of selling price then what is the profit percentage .	2gain
g ( a ) 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 ( y ) is divisible by 4 ^ 11 , what is the smallest possible value for a ?	0general
j is 25 % less than p and 20 % less than t . t is w % less than p . what is the value of w ?	2gain
how many litres of pure acid are there in 4 litres of a 35 % solution	2gain
last year department store x had a sales total for december that was 7 times the average ( arithmetic mean ) of the monthly sales totals for january through november . the sales total for december was what fraction of the sales total for the year ?	0general
a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream . the ratio of the speed of the boat ( in still water ) and the stream is :	1physics
the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years . the age of the 15 th student is ?	0general
a shopkeeper sold an article at $ 100 with 10 % profit . then find its cost price ?	2gain
how many factors does 25 ^ 2 have ?	5other
a glass was filled with 12 ounces of water , and 0.03 ounce of the water evaporated each day during a 22 - day period . what percent of the original amount of water evaporated during this period ?	2gain
dan ’ s car gets 32 miles per gallon . if gas costs $ 4 / gallon , then how many miles can dan ’ s car go on $ 38 of gas ?	1physics
if x + y = 20 , x - y = 10 , for integers of x and y , x = ?	0general
molly ' s age in 18 years will be 5 times her age 6 years ago . what is molly ' s present age ?	0general
in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3200 circuit boards where 64 fail inspection ?	5other
the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 20 % . if in july , a mixture containing equal quantities of tea and coffee costs 90 / kg . how much did a kg of coffee cost in june ?	0general
a dealer purchased an article at 3 / 4 of its list price and sold 50 % more than the list price . find his gain percent ?	2gain
4 / 15 of 5 / 7 of a number is greater than 4 / 9 of 2 / 5 of the same number by 24 . what is half of that number ?	0general
a driver just filled the car ' s gas tank with 54 liters of gasohol , a mixture consisting of 5 % ethanol and 95 % gasoline . if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline , how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance ?	0general
a store owner estimates that the average price of type a products will increase by 30 % next year and that the price of type b products will increase by 20 % next year . this year , the total amount paid for type a products was $ 3200 and the total price paid for type b products was $ 5800 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ?	0general
20 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ?	2gain
the cost of a one - family home was $ 120,000 in 1980 . in 1988 , the price had increased to $ 168,000 . what was the percent increase in the cost of the home ?	0general
marginal cost is the cost of increasing the quantity produced ( or purchased ) by one unit . if the fixed cost for n products is $ 10,000 and the marginal cost is $ 250 , and the total cost is $ 16,000 , what is the value of n ?	0general
in a sports club with 30 members , 17 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ?	5other
a boy want to make a cuboid of dimension 5 m , 6 m , 7 m from small cubes of . 04 m 3 . later he realized he can make same cuboid by making it hollow . then it takes some cubes less . what is the no . of these cubes ?	1physics
a fill pipe can fill 1 / 2 of cistern in 10 minutes . in how many minutes , it can fill 1 / 2 of the cistern ?	1physics
wink , inc . follows a certain procedure that requires two tasks to be finished independently in order for a job to be done . on any given day , there is a 3 / 8 probability that task 1 will be completed on time , and a 3 / 5 probability that task 2 will be completed on time . on a certain day , what is the probability that task 1 will be completed on time , but task 2 will not ?	4probability
the average weight of 10 person ' s increases by 3.5 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
the average marks of 10 students in a class is 100 . but a student mark is wrongly noted as 90 instead of 10 then find the correct average marks ?	0general
what will be remainder when ( 67 ^ 67 + 67 ) is divided by 68 ?	0general
a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 1000 , what is the reduced price for kg ?	2gain
the perimeters of 2 squares are 60 cm and 48 cm . find the perimeter of a third square whose area is equal to the difference of the areas of the two squares ?	3geometry
a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 4 grams per cubic centimeter and mineral y weighs 3 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters )	3geometry
two cars a and b start from boston and new york respectively simultaneously and travel towards each other at constant speeds along the same route . after meeting at a point between boston and new york the two cars a and b proceed to their respective destinations of new york and boston . car a reaches new york 20 minutes after the two cars have met and car b reaches boston 90 minutes after they have met . how long did car a take to cover the distance between boston and new york ?	1physics
the price of a coat in a certain store is $ 500 . if the price of the coat is to be reduced by $ 300 , by what percent is the price to be reduced ?	2gain
what is the 10 th digit to the right of the decimal point in the decimal equivalent of 124 / 22 ?	0general
- - - - - - - - - - - - - - - - yes - - - - - - - - - no - - - - unsure subject m - - - - 500 - - - - - - - - 200 - - - - - 100 subject r - - - - 400 - - - - - - - - 100 - - - - - 300 a total of 800 students were asked whether they found two subjects , m and r , interesting . each answer was either yes or no or unsure , and the numbers of students who gave these answers are listed in the table above . if 170 students answered yes only for subject m , how many of the students did not answer yes for either subject ?	0general
a man can do a piece of work in 10 days , but with the help of his son , he can finish it in 5 days . in what time can the son do it alone ?	1physics
alan buys 4 tvs , a 26 inch , a 28 inch , a 30 inch , and a 32 inch , for his new house . each tv costs $ 200 more than the size below it . alan spends a total of $ 4,400 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ?	0general
find large number from below question the difference of two numbers is 750 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder	0general
a man , a woman and a boy can together complete a piece of work in 4 days . if a man alone can do it in 6 days and a boy alone in 18 days , how long will a woman take to complete the work ?	1physics
the price of lunch for 15 people was $ 210.00 , including a 15 percent gratuity for service . what was the average price per person , excluding the gratuity ?	0general
82 a 7 + 6 b ____ 190 if a and b represent positive single digits in the correctly worked computation above , what is the value of a + 2 b ?	1physics
the average expenditure of a labourer for 6 months was 85 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income i	0general
in a certain alphabet , 13 letters contain a dot and a straight line . 24 letters contain a straight line but do not contain a dot . if that alphabet has 40 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ?	5other
the tax on a commodity is diminished by 10 % but its consumption is increased by 20 % . find the decrease percent in the revenue derived from it ?	0general
what is the units digit of ( 493 ) ( 915 ) ( 381 ) ( 756 )	0general
the edge of a cube is 2 a cm . find its surface ?	3geometry
two men started from the same place walk at the rate of 10 kmph and 12 kmph respectively . what time will they take to be 2 km apart , if they walk in the same direction ?	2gain
of 30 applicants for a job , 10 had at least 4 years ' experience , 18 had degrees , and 3 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
a paper is in a square form whose one side is 20 cm . two semi circles are drawn on its opposites as diameters . if these semi circles are cut down what is the area of the remaining paper ?	3geometry

the smallest fraction , which each of 6 / 7 , 5 / 14 , 10 / 21 will divide exactly is :

0general

what is rate of interest if principal . amount be 400 , simple interest 180 and time 2 year .

2gain

find the smallest number which when divided by 11 and 12 leaves respective remainders of 2 and 3 .

0general

david biked 16 1 / 3 miles in 2 hours and 20 minutes . what was his average rate of speed in miles per hour ?

1physics

if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 6 k , what is one possible value for k ?

0general

a box contains either blue or red flags . the total number of flags in the box is an even number . a group of children are asked to pick up two flags each . if all the flags are used up in the process such that 60 % of the children have blue flags , and 50 % have red flags , what percentage of children have flags of both the colors ?

0general

find the compound interest on rs . 16,000 at 20 % per annum for 9 months , compounded quartely .

2gain

find the ones digit of 73 ^ 330

0general

the mean of 50 observations was 36 . it was found later that an observation 28 was wrongly taken as 23 . the corrected new mean is :

0general

the rate of interest on a sum of money is 9 % p . a . for the first 3 years , 4 % p . a . for the next 4 years , and 5 % for the period beyond 7 years . if the s . i , occured on the sum for the total period of 8 years is rs . 540 / - , the sum is

0general

in a games hour 4 different types of players came to the ground ? cricket 22 , hokey 15 , football 21 , softball 19 . how many players are present in the ground ?

1physics

an alloy is to contain copper and zinc in the ratio 5 : 3 . the zinc required to be melted with 40 kg of copper is ?

5other

if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 348 , the cost of the article is

2gain

solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 200 milliliters of solution x to create a solution that is 20 percent alcohol by volume ?

0general

the ratio 6 : 3 expressed as a percent equals

0general

the average weight of 8 person ' s increases by 6 kg when a new person comes in place of one of them weighing 40 kg . what might be the weight of the new person ?

0general

a and b are two partially filled buckets of water . if 8 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 8 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ?

0general

16 men can complete a piece of work in 25 days . in how many days can 20 men complete that piece of work ?

1physics

a man traveled a total distance of 900 km . he traveled one - third of the whole trip by plane and the distance traveled by train is one - half of the distance traveled by bus . if he traveled by train , plane and bus , how many kilometers did he travel by bus ?

1physics

if a no . when divided by 44 , gives 432 as quotient and 0 as remainder . what will be the remainder when dividing the same no . by 30

0general

in country z , 18 % of the people do not have a university diploma but have the job of their choice , and 25 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ?

2gain

if 0.5 of a number is equal to 0.09 of another number , the ratio of the numbers i

5other

two trains t 1 and t 2 start simultaneously from two stations x and y respectively towards each other . if they are 70 km apart both 3 and 6 hours after start , then find the distance between the two stations .

1physics

among 7 numbers the average of first 4 numbers is 13 and the average of last 4 numbers is 15 . the sum of last 3 numbers is 55 . the square of the fourth number is equal to the last number then what is the last number ?

0general

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 12 miles per hour . what was the actual average speed , in miles per hour , when the driver drove from home to the store ?

0general

the sum of all the digits of the integers from 18 to 21 inclusive is 24 ( 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24 ) . what is the sum q of all the digits of the integers from 0 to 99 inclusive ?

0general

a man has rs . 10350 in the form of rs . 50 notes and rs . 500 notes . the total number of notes are 126 . find the number of notes of rs . 50 denomination .

0general

a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 33 . find the profit percentage ?

2gain

each factor of 230 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 42 ?

5other

3 different containers contain 496 litres , 403 litres and 713 litres of mixtures of milk and water respectively . what biggest measure can measure all the different quantities exactly ?

1physics

12 persons can complete the work in 18 days . after working for 6 days , 4 more persons added to complete the work fast . in how many more days they will complete the work ?

1physics

there are 870 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ?

0general

is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 37 , then how old is b ?

0general

a and b invests rs . 10000 each , a investing for 9 months and b investing for all the 12 months in the year . if the total profit at the end of the year is rs . 21000 , find their shares ?

2gain

a batsman scored 150 runs which included 5 boundaries and 5 sixes . what percent of his total score did he make by running between the wickets .

0general

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 7380 km and comes back to the starting point . the total time taken by him is :

1physics

a jar of 220 marbles is divided equally among a group of marble - players today . if 2 people joined the group in the future , each person would receive 1 marble less . how many people are there in the group today ?

0general

a train running at the speed of 60 km / hr crosses a pole in 6 seconds . find the length of the train ?

1physics

a chemist mixes one liter of pure water with x liters of a 60 % salt solution , and the resulting mixture is a 20 % salt solution . what is the value of x ?

2gain

if a and b are the roots of the equation x 2 - 4 x + 4 = 0 , then the value of a 2 + b 2 is :

0general

if a town of 75,000 people is growing at a rate of approx . 1 % per year , the population of the town in 5 years will be closest to ?

2gain

the total cost of 100 paper plates and 200 paper cups is $ 4.00 at the same rates what is the total cost of 20 of the plates and 40 of the cups ?

2gain

which greatest possible length can be used to measure exactly 15 meter 75 cm , 11 meter 25 cm and 7 meter 65 cm

1physics

if ( m - 8 ) is a factor of m ^ 2 - sm - 24 , then s =

0general

a dice has one of the first 4 prime number on each its 6 sides , with no two sides having the same number . the dice is rolled 10 times and the results added . the addition is most likely to be closet to

0general

each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.7 % , what fraction of the products was checked by worker y ?

0general

40 men took a dip in a water tank 40 m long and 20 m broad on a religious day . if the average displacement of water by a man is 4 m 3 , then the rise in the water level in the tank will be :

1physics

if a is thrice as fast as b and together can do a work in 18 days . in how many days a alone can do the work ?

1physics

what is the average of first 21 multiples of 4 ?

0general

a factory produces 3400 toys per week . if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?

1physics

if the cost price is 99 % of selling price then what is the profit percentage .

2gain

g ( a ) 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 ( y ) is divisible by 4 ^ 11 , what is the smallest possible value for a ?

0general

j is 25 % less than p and 20 % less than t . t is w % less than p . what is the value of w ?

2gain

how many litres of pure acid are there in 4 litres of a 35 % solution

2gain

last year department store x had a sales total for december that was 7 times the average ( arithmetic mean ) of the monthly sales totals for january through november . the sales total for december was what fraction of the sales total for the year ?

0general

a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream . the ratio of the speed of the boat ( in still water ) and the stream is :

1physics

the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years . the age of the 15 th student is ?

0general

a shopkeeper sold an article at $ 100 with 10 % profit . then find its cost price ?

2gain

how many factors does 25 ^ 2 have ?

5other

a glass was filled with 12 ounces of water , and 0.03 ounce of the water evaporated each day during a 22 - day period . what percent of the original amount of water evaporated during this period ?

2gain

dan ’ s car gets 32 miles per gallon . if gas costs $ 4 / gallon , then how many miles can dan ’ s car go on $ 38 of gas ?

1physics

if x + y = 20 , x - y = 10 , for integers of x and y , x = ?

0general

molly ' s age in 18 years will be 5 times her age 6 years ago . what is molly ' s present age ?

0general

in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3200 circuit boards where 64 fail inspection ?

5other

the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 20 % . if in july , a mixture containing equal quantities of tea and coffee costs 90 / kg . how much did a kg of coffee cost in june ?

0general

a dealer purchased an article at 3 / 4 of its list price and sold 50 % more than the list price . find his gain percent ?

2gain

4 / 15 of 5 / 7 of a number is greater than 4 / 9 of 2 / 5 of the same number by 24 . what is half of that number ?

0general

a driver just filled the car ' s gas tank with 54 liters of gasohol , a mixture consisting of 5 % ethanol and 95 % gasoline . if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline , how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance ?

0general

a store owner estimates that the average price of type a products will increase by 30 % next year and that the price of type b products will increase by 20 % next year . this year , the total amount paid for type a products was $ 3200 and the total price paid for type b products was $ 5800 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ?

0general

20 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ?

2gain

the cost of a one - family home was $ 120,000 in 1980 . in 1988 , the price had increased to $ 168,000 . what was the percent increase in the cost of the home ?

0general

marginal cost is the cost of increasing the quantity produced ( or purchased ) by one unit . if the fixed cost for n products is $ 10,000 and the marginal cost is $ 250 , and the total cost is $ 16,000 , what is the value of n ?

0general

in a sports club with 30 members , 17 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ?

5other

a boy want to make a cuboid of dimension 5 m , 6 m , 7 m from small cubes of . 04 m 3 . later he realized he can make same cuboid by making it hollow . then it takes some cubes less . what is the no . of these cubes ?

1physics

a fill pipe can fill 1 / 2 of cistern in 10 minutes . in how many minutes , it can fill 1 / 2 of the cistern ?

1physics

wink , inc . follows a certain procedure that requires two tasks to be finished independently in order for a job to be done . on any given day , there is a 3 / 8 probability that task 1 will be completed on time , and a 3 / 5 probability that task 2 will be completed on time . on a certain day , what is the probability that task 1 will be completed on time , but task 2 will not ?

4probability

the average weight of 10 person ' s increases by 3.5 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

the average marks of 10 students in a class is 100 . but a student mark is wrongly noted as 90 instead of 10 then find the correct average marks ?

0general

what will be remainder when ( 67 ^ 67 + 67 ) is divided by 68 ?

0general

a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 1000 , what is the reduced price for kg ?

2gain

the perimeters of 2 squares are 60 cm and 48 cm . find the perimeter of a third square whose area is equal to the difference of the areas of the two squares ?

3geometry

a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 4 grams per cubic centimeter and mineral y weighs 3 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters )

3geometry

two cars a and b start from boston and new york respectively simultaneously and travel towards each other at constant speeds along the same route . after meeting at a point between boston and new york the two cars a and b proceed to their respective destinations of new york and boston . car a reaches new york 20 minutes after the two cars have met and car b reaches boston 90 minutes after they have met . how long did car a take to cover the distance between boston and new york ?

1physics

the price of a coat in a certain store is $ 500 . if the price of the coat is to be reduced by $ 300 , by what percent is the price to be reduced ?

2gain

what is the 10 th digit to the right of the decimal point in the decimal equivalent of 124 / 22 ?

0general

- - - - - - - - - - - - - - - - yes - - - - - - - - - no - - - - unsure subject m - - - - 500 - - - - - - - - 200 - - - - - 100 subject r - - - - 400 - - - - - - - - 100 - - - - - 300 a total of 800 students were asked whether they found two subjects , m and r , interesting . each answer was either yes or no or unsure , and the numbers of students who gave these answers are listed in the table above . if 170 students answered yes only for subject m , how many of the students did not answer yes for either subject ?

0general

a man can do a piece of work in 10 days , but with the help of his son , he can finish it in 5 days . in what time can the son do it alone ?

1physics

alan buys 4 tvs , a 26 inch , a 28 inch , a 30 inch , and a 32 inch , for his new house . each tv costs $ 200 more than the size below it . alan spends a total of $ 4,400 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ?

0general

find large number from below question the difference of two numbers is 750 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder

0general

a man , a woman and a boy can together complete a piece of work in 4 days . if a man alone can do it in 6 days and a boy alone in 18 days , how long will a woman take to complete the work ?

1physics

the price of lunch for 15 people was $ 210.00 , including a 15 percent gratuity for service . what was the average price per person , excluding the gratuity ?

0general

82 a 7 + 6 b ____ 190 if a and b represent positive single digits in the correctly worked computation above , what is the value of a + 2 b ?

1physics

the average expenditure of a labourer for 6 months was 85 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income i

0general

in a certain alphabet , 13 letters contain a dot and a straight line . 24 letters contain a straight line but do not contain a dot . if that alphabet has 40 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ?

5other

the tax on a commodity is diminished by 10 % but its consumption is increased by 20 % . find the decrease percent in the revenue derived from it ?

0general

what is the units digit of ( 493 ) ( 915 ) ( 381 ) ( 756 )

0general

the edge of a cube is 2 a cm . find its surface ?

3geometry

two men started from the same place walk at the rate of 10 kmph and 12 kmph respectively . what time will they take to be 2 km apart , if they walk in the same direction ?

2gain

of 30 applicants for a job , 10 had at least 4 years ' experience , 18 had degrees , and 3 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

a paper is in a square form whose one side is 20 cm . two semi circles are drawn on its opposites as diameters . if these semi circles are cut down what is the area of the remaining paper ?

3geometry