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

Problem stringlengths 5 967	category class label 6 classes
in a certain math department , students are required to enroll in either calculus or trigonometry , each of which is offered in beginner and advanced courses . the number of students enrolled in trigonometry is 50 % greater than the number of students enrolled in calculus , and 90 % of calculus students are enrolled in the beginner course . if 4 / 5 of students are in the beginner courses , and one student is selected at random , what is the probability that an advanced trigonometry student is selected ?	2gain
a certain club has 10 members , including jarry . one of the 10 members is chosen at random to be the president , one of the remaining 9 members is to be chosen at random to be the secretary , and one of the remaining 8 members is to be chosen at random to be the treasurer . what is the probability that jarry will be either the member chose to be secretary or the member chose to be treasurer ?	4probability
two dice are thrown simultaneously . what is the probability of getting two numbers whose product is not an even ?	4probability
the difference between a number and its two - fifth is 510 . what is 40 % of that number ?	0general
a and b can do a piece of work in 9 days . with the help of c they finish the work in 5 days . c alone can do that piece of work in ?	1physics
if n is a positive integer and the product of all the integers from 1 to n , inclusive , is a multiple of 123 , what is the least possible value of n ?	0general
the elevator in an 11 - story office building travels at the rate of one floor per 1 / 4 minute , which allows time for picking up and discharging passengers . at the main floor and at the top floor , the operator stops for 1 minute . how many complete trips will an operator make during a 4 - hour period ?	1physics
johnny travels a total of one hour to and from school . on the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 30 miles per hour . how far is it to the school ?	1physics
find the product of the localvalue and absolutevalue of 7 in 20768 ?	0general
a certain no . when divided by 35 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ?	0general
you have a flashlight that takes 2 working batteries . you have 8 batteries but only 4 of them work . what is the fewest number of pairs you need to test to guarantee you can get the flashlight on ?	1physics
a certain rectangular window is two times as long as it is wide . if its perimeter is 30 feet , what are its dimensions in terms of length by width ?	3geometry
the average mark of the students of a class in a particular exam is 80 . if 5 students whose average mark in that exam is 40 are excluded , the average mark of the remaining will be 90 . find the number of students who wrote the exam ?	0general
in a certain alphabet , 16 letters contain a dot and a straight line . 30 letters contain a straight line but do not contain a dot . if that alphabet has 50 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
evaluate : 13 + sqrt ( - 4 + 5 ã — 3 ã · 3 ) = ?	0general
at what rate percent on simple interest will rs . 750 amount to rs . 1125 in 5 years ?	2gain
if two positive numbers are in the ratio 1 / 6 : 1 / 5 , then by what percent is the second number more than the first ?	0general
given two cylindrical containers - - a and b . cylinder a has a diameter of 12 meters and a height of 10 meters . cylinder b has a radius of 2 meters and a height of 4 meters . if cylinder a is filled to capacity with water , how many cylinder b will be filled to capacity with the content of cylinder a ?	3geometry
a 3 by 4 rectangle is inscribed in circle . what is the circumference of the circle ?	3geometry
jerome anticipated that the webweb . com stock price would fall and sold all his webweb . com stocks for $ 5 per stock . he paid $ 10,000 tax on the revenue . a week later , jerome became convinced that the webweb . com stock price would rise , and he used the money that he had gotten from selling the webweb . com stocks to purchase them again , this time at $ 6 per stock . if jerome ended up having 6000 webweb . com stocks fewer than the number he had before selling them , how many webweb . com stocks did he have originally ?	2gain
a man bought 40 shares of rs . 60 at 5 discount , the rate of dividend being 12 % the rate of interest obtained is	2gain
what is the sum of 60 consecutive integers from - 30 inclusive , in a increasing order ?	0general
the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 18 ° of the circle , what percentage of megatek employees are in manufacturing ?	1physics
what is the remainder when 1201 × 1202 × 1203 × 1204 is divided by 6 ?	0general
find two numbers whose sum is 26 and whose product is 165 .	0general
a river 7 m deep and 75 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is ?	1physics
what is the largest 4 digit number exactly divisible by 24 ?	0general
a survey of n people in the town of eros found that 50 % of them preferred brand a . another survey of 110 people in the town of angie found that 60 % preferred brand a . in total , 55 % of all the people surveyed together preferred brand a . what is the total number of people surveyed ?	0general
if k ^ 3 is divisible by 540 , what is the least possible value of integer k ?	0general
the average weight of 8 persons increases by 1.5 kg when a person weighting 65 kg is replaced by a new person . what could be the weight of the new person ?	0general
what is the remainder when ( 71 ) ( 73 ) is divided by 8 ?	0general
if the product of 8 integers is negative , at most how many of the integers can be negative ?	0general
shopkeeper rise price by 35 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?	2gain
in what ratio must tea at rs . 65 per kg be mixed with tea at rs . 70 per kg so that the mixture must be worth rs . 6 per kg ?	5other
a briefcase has a number - lock system containing a combination of 3 digits ( each digit can be of numbers 0 to 8 ) . if the correct combination is unknown , how much maximum time would be required to open the bag if each “ trial ” of combination takes 3 seconds ?	0general
a driver just filled the car ' s gas tank with 27 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
if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 8000 in a long term bond that pays 4 percent interest , compounded annually , what will be the approximate total amount of investment 36 years later , when pat is ready for college ?	0general
eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 600 kms and city a and city c is 460 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )	1physics
in a division sum , the remainder is 0 . as student mistook the divisor by 12 instead of 21 and obtained 42 as quotient . what is the correct quotient ?	0general
in the x - y plane , there are 4 points ( 0,0 ) , ( 0,4 ) , ( 7,4 ) , and ( 7,0 ) . if these 4 points makes a rectangle , what is the probability that x + y < 4 ?	0general
the owner of a furniture shop charges his customer 60 % more than the cost price . if a customer paid rs . 1000 for a computer table , then what was the cost price of the computer table ?	2gain
one - third of 1206 is what percent of 200 ?	2gain
machine p and machine q are each used to manufacture 660 sprockets . it takes machine p 10 hours longer to produce 660 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?	2gain
a train 280 m long is running at a speed of 54 km / hr . in what time will it pass a bridge 200 m long ?	1physics
a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 10,500 sedans in anytown , how many motorcycles are there ?	5other
what is the sum of the 1 st 6 prime numbers greater than 10 ?	0general
$ 8,000 is deposited in a savings account that pays 12 % annual interest compounded semiannually . to the nearest dollar , how much is in the account at the end of the year ?	2gain
a , b and c can do a piece of work in 9 days , 14 days and 28 days respectively . how long will they taken , if all the three work together ?	1physics
in a division sum , the divisor is 12 times the quotient and 6 times the remainder . if the remainder is 24 , what is the divident ?	0general
to be considered for “ movie of the year , ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 775 members . what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ” ?	0general
a certain characteristic in a large population has a distribution that is symmetric about the mean a . if 68 % of the distribution lies one standard deviation d of the mean , what percent of the distribution is less than a + d ?	0general
if a / b = 1 / 3 , b / c = 2 , c / d = 1 / 2 , d / e = 3 and e / f = 1 / 8 , then what is the value of abc / def ?	0general
share rs . 4320 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ?	5other
a man rows his boat 78 km downstream and 56 km upstream , taking 4 hours each time . find the speed of the stream ?	1physics
tom purchased 8 kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?	2gain
a car traveling at a certain constant speed takes 10 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 40 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?	1physics
a camera lens filter kit containing 5 filters sells for $ 87.50 . if the filters are purchased individually , 2 of them are priced at $ 16.45 each , 2 at $ 14.05 each , 1 at $ 19.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ?	0general
a man swims downstream 30 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?	1physics
if a speaks the truth 75 % of the times , b speaks the truth 60 % of the times . what is the probability that they tell the truth at the same time	2gain
what is the dividend . divisor 16 , the quotient is 9 and the remainder is 5 ?	0general
what is the positive difference between the sum of the squares of the first 3 positive integers and the sum of the prime numbers between the first square and fourth square ?	0general
the charge for a single room at hotel p is 40 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?	2gain
sale of rs 6835 , rs . 9927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs , 6800 ?	0general
in a group of cheerleaders , the group made of 10 males and 16 females . every cheerleader gets to choose between a coke or malt . the number of those that choose malt is double the number that chose coke , if all the 6 males choose malt , how many females chose malt ?	5other
if a certain number is divided by 5 , the quotient , dividend , and divisor , added together , will amount to 65 . what is the number ?	0general
if t = 5 / 9 * ( k - 32 ) , and if t = 105 , then what is the value of k ?	0general
a camera lens filter kit containing 5 filters sells for $ 57.50 . if the filters are purchased individually , 2 of them are priced at $ 10.45 each , 2 at $ 12.05 each , 1 at $ 17.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ?	0general
there were two candidates in an election . winner candidate received 75 % of votes and won the election by 500 votes . find the number of votes casted to the winning candidate ?	2gain
if 170 ! / 10 ^ n is an integer , what is the largest possible value of n ?	0general
the ratio of spinsters to cats is 2 to 7 . if there are 35 more cats than spinsters , how many spinsters are there ?	5other
chris mixed 3 pounds of raisins with 3 pounds of nuts . if a pound of nuts costs 3 times as much as a pound of raisins , then the total cost of the raisins was what fraction of the total cost of the mixture ?	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 9 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?	2gain
how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 4 m x 2 m x 25 cm ?	1physics
a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 370 tickets were sold for a total cost of $ 3320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ?	0general
what is the sum of natural numbers between 40 and 100	0general
if 4 consecutive letters are selected at random from the english alphabet , then the probability that one of the letters is a vowel is ?	4probability
a man is 36 years older than his son . in three years , his age will be thrice the age of his son . the present age of this son is	0general
how much 60 % of 50 is greater than 50 % of 30 ?	2gain
a pair of articles was bought for $ 50 at a discount of 10 % . what must be the marked price of each of the article ?	2gain
a meal cost $ 37.25 adn there was no tax . if the tip was more than 10 pc but less than 15 pc of the price , then the total amount paid should be :	0general
a train moves at average speed of 40 kmph reaches its destination on time . what its average speed becomes 35 kmph , then it reaches its destination 15 late . find the length of the journey ?	1physics
evaluate 25 % of 450 + 45 % of 250	2gain
if a lends rs . 3500 to b at 10 % p . a . and b lends the same sum to c at 11.5 % p . a . , then the gain of b ( in rs . ) in a period of 3 years is	2gain
at a certain high school , the senior class is twice the size of the junior class . if 1 / 8 of the seniors and 3 / 4 of the juniors study japanese , what fraction of the students in both classes study japanese ?	0general
the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 25 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ?	3geometry
the sum of ages of 5 children born 3 years different each is 55 yrs . what is the age of the elder child ?	0general
there are 7 girls and 3 chairs . in how many ways girls can occupy the chairs ?	4probability
in a mixed college 160 students are there in one class . out of this 160 students 3 / 5 students are girls . how many boys are there ?	0general
a train running at 7 / 11 of its own speed reached a place in 22 hours . how much time could be saved if the train would have run at its own speed ?	1physics
a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3300 , a will get :	1physics
a line that passes through ( – 2 , – 4 ) and ( 3 , k ) has a slope = k . what is the value of k ?	0general
a dishonest milkman wants to make a profit on the selling of milk . he would like to mix water ( costing nothing ) with milk costing rs . 33 per litre so as to make a profit of 30 % on cost when he sells the resulting milk and water mixture for rs . 36 in what ratio should he mix the water and milk ?	2gain
carol is 5 times alice ’ s age but only twice as old as betty . alice is 12 years younger than carol . how old is betty ?	0general
a cheese factory sells its cheese in rectangular blocks . a normal block has a volume of 5 cubic feet . if a large block has twice the width , twice the depth , and the same length of a normal block , what is the volume of cheese in a large block in cubic feet ?	3geometry
in a box of 10 pens , a total of 2 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ?	0general
if the sum of the 4 th term and the 12 th term of an arithmetic progression is 30 , what is the sum of the first 15 terms of the progression ?	0general
if x and y are numbers such that ( x + 5 ) ( y - 5 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2	0general
find the value of ( 19 + 43 / 151 ) × 151	0general
the lcm of two numbers is 2310 and hcf is 61 . if one of the numbers is 210 . then what is the other number ?	1physics
the c . p of 30 books is equal to the s . p of 40 books . find his gain % or loss % ?	2gain

in a certain math department , students are required to enroll in either calculus or trigonometry , each of which is offered in beginner and advanced courses . the number of students enrolled in trigonometry is 50 % greater than the number of students enrolled in calculus , and 90 % of calculus students are enrolled in the beginner course . if 4 / 5 of students are in the beginner courses , and one student is selected at random , what is the probability that an advanced trigonometry student is selected ?

2gain

a certain club has 10 members , including jarry . one of the 10 members is chosen at random to be the president , one of the remaining 9 members is to be chosen at random to be the secretary , and one of the remaining 8 members is to be chosen at random to be the treasurer . what is the probability that jarry will be either the member chose to be secretary or the member chose to be treasurer ?

4probability

two dice are thrown simultaneously . what is the probability of getting two numbers whose product is not an even ?

4probability

the difference between a number and its two - fifth is 510 . what is 40 % of that number ?

0general

a and b can do a piece of work in 9 days . with the help of c they finish the work in 5 days . c alone can do that piece of work in ?

1physics

if n is a positive integer and the product of all the integers from 1 to n , inclusive , is a multiple of 123 , what is the least possible value of n ?

0general

the elevator in an 11 - story office building travels at the rate of one floor per 1 / 4 minute , which allows time for picking up and discharging passengers . at the main floor and at the top floor , the operator stops for 1 minute . how many complete trips will an operator make during a 4 - hour period ?

1physics

johnny travels a total of one hour to and from school . on the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 30 miles per hour . how far is it to the school ?

1physics

find the product of the localvalue and absolutevalue of 7 in 20768 ?

0general

a certain no . when divided by 35 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ?

0general

you have a flashlight that takes 2 working batteries . you have 8 batteries but only 4 of them work . what is the fewest number of pairs you need to test to guarantee you can get the flashlight on ?

1physics

a certain rectangular window is two times as long as it is wide . if its perimeter is 30 feet , what are its dimensions in terms of length by width ?

3geometry

the average mark of the students of a class in a particular exam is 80 . if 5 students whose average mark in that exam is 40 are excluded , the average mark of the remaining will be 90 . find the number of students who wrote the exam ?

0general

in a certain alphabet , 16 letters contain a dot and a straight line . 30 letters contain a straight line but do not contain a dot . if that alphabet has 50 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

evaluate : 13 + sqrt ( - 4 + 5 ã — 3 ã · 3 ) = ?

0general

at what rate percent on simple interest will rs . 750 amount to rs . 1125 in 5 years ?

2gain

if two positive numbers are in the ratio 1 / 6 : 1 / 5 , then by what percent is the second number more than the first ?

0general

given two cylindrical containers - - a and b . cylinder a has a diameter of 12 meters and a height of 10 meters . cylinder b has a radius of 2 meters and a height of 4 meters . if cylinder a is filled to capacity with water , how many cylinder b will be filled to capacity with the content of cylinder a ?

3geometry

a 3 by 4 rectangle is inscribed in circle . what is the circumference of the circle ?

3geometry

jerome anticipated that the webweb . com stock price would fall and sold all his webweb . com stocks for $ 5 per stock . he paid $ 10,000 tax on the revenue . a week later , jerome became convinced that the webweb . com stock price would rise , and he used the money that he had gotten from selling the webweb . com stocks to purchase them again , this time at $ 6 per stock . if jerome ended up having 6000 webweb . com stocks fewer than the number he had before selling them , how many webweb . com stocks did he have originally ?

2gain

a man bought 40 shares of rs . 60 at 5 discount , the rate of dividend being 12 % the rate of interest obtained is

2gain

what is the sum of 60 consecutive integers from - 30 inclusive , in a increasing order ?

0general

the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 18 ° of the circle , what percentage of megatek employees are in manufacturing ?

1physics

what is the remainder when 1201 × 1202 × 1203 × 1204 is divided by 6 ?

0general

find two numbers whose sum is 26 and whose product is 165 .

0general

a river 7 m deep and 75 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is ?

1physics

what is the largest 4 digit number exactly divisible by 24 ?

0general

a survey of n people in the town of eros found that 50 % of them preferred brand a . another survey of 110 people in the town of angie found that 60 % preferred brand a . in total , 55 % of all the people surveyed together preferred brand a . what is the total number of people surveyed ?

0general

if k ^ 3 is divisible by 540 , what is the least possible value of integer k ?

0general

the average weight of 8 persons increases by 1.5 kg when a person weighting 65 kg is replaced by a new person . what could be the weight of the new person ?

0general

what is the remainder when ( 71 ) ( 73 ) is divided by 8 ?

0general

if the product of 8 integers is negative , at most how many of the integers can be negative ?

0general

shopkeeper rise price by 35 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?

2gain

in what ratio must tea at rs . 65 per kg be mixed with tea at rs . 70 per kg so that the mixture must be worth rs . 6 per kg ?

5other

a briefcase has a number - lock system containing a combination of 3 digits ( each digit can be of numbers 0 to 8 ) . if the correct combination is unknown , how much maximum time would be required to open the bag if each “ trial ” of combination takes 3 seconds ?

0general

a driver just filled the car ' s gas tank with 27 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

if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 8000 in a long term bond that pays 4 percent interest , compounded annually , what will be the approximate total amount of investment 36 years later , when pat is ready for college ?

0general

eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 600 kms and city a and city c is 460 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )

1physics

in a division sum , the remainder is 0 . as student mistook the divisor by 12 instead of 21 and obtained 42 as quotient . what is the correct quotient ?

0general

in the x - y plane , there are 4 points ( 0,0 ) , ( 0,4 ) , ( 7,4 ) , and ( 7,0 ) . if these 4 points makes a rectangle , what is the probability that x + y < 4 ?

0general

the owner of a furniture shop charges his customer 60 % more than the cost price . if a customer paid rs . 1000 for a computer table , then what was the cost price of the computer table ?

2gain

one - third of 1206 is what percent of 200 ?

2gain

machine p and machine q are each used to manufacture 660 sprockets . it takes machine p 10 hours longer to produce 660 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?

2gain

a train 280 m long is running at a speed of 54 km / hr . in what time will it pass a bridge 200 m long ?

1physics

a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 10,500 sedans in anytown , how many motorcycles are there ?

5other

what is the sum of the 1 st 6 prime numbers greater than 10 ?

0general

$ 8,000 is deposited in a savings account that pays 12 % annual interest compounded semiannually . to the nearest dollar , how much is in the account at the end of the year ?

2gain

a , b and c can do a piece of work in 9 days , 14 days and 28 days respectively . how long will they taken , if all the three work together ?

1physics

in a division sum , the divisor is 12 times the quotient and 6 times the remainder . if the remainder is 24 , what is the divident ?

0general

to be considered for “ movie of the year , ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 775 members . what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ” ?

0general

a certain characteristic in a large population has a distribution that is symmetric about the mean a . if 68 % of the distribution lies one standard deviation d of the mean , what percent of the distribution is less than a + d ?

0general

if a / b = 1 / 3 , b / c = 2 , c / d = 1 / 2 , d / e = 3 and e / f = 1 / 8 , then what is the value of abc / def ?

0general

share rs . 4320 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ?

5other

a man rows his boat 78 km downstream and 56 km upstream , taking 4 hours each time . find the speed of the stream ?

1physics

tom purchased 8 kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?

2gain

a car traveling at a certain constant speed takes 10 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 40 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?

1physics

a camera lens filter kit containing 5 filters sells for $ 87.50 . if the filters are purchased individually , 2 of them are priced at $ 16.45 each , 2 at $ 14.05 each , 1 at $ 19.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ?

0general

a man swims downstream 30 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?

1physics

if a speaks the truth 75 % of the times , b speaks the truth 60 % of the times . what is the probability that they tell the truth at the same time

2gain

what is the dividend . divisor 16 , the quotient is 9 and the remainder is 5 ?

0general

what is the positive difference between the sum of the squares of the first 3 positive integers and the sum of the prime numbers between the first square and fourth square ?

0general

the charge for a single room at hotel p is 40 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?

2gain

sale of rs 6835 , rs . 9927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs , 6800 ?

0general

in a group of cheerleaders , the group made of 10 males and 16 females . every cheerleader gets to choose between a coke or malt . the number of those that choose malt is double the number that chose coke , if all the 6 males choose malt , how many females chose malt ?

5other

if a certain number is divided by 5 , the quotient , dividend , and divisor , added together , will amount to 65 . what is the number ?

0general

if t = 5 / 9 * ( k - 32 ) , and if t = 105 , then what is the value of k ?

0general

a camera lens filter kit containing 5 filters sells for $ 57.50 . if the filters are purchased individually , 2 of them are priced at $ 10.45 each , 2 at $ 12.05 each , 1 at $ 17.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ?

0general

there were two candidates in an election . winner candidate received 75 % of votes and won the election by 500 votes . find the number of votes casted to the winning candidate ?

2gain

if 170 ! / 10 ^ n is an integer , what is the largest possible value of n ?

0general

the ratio of spinsters to cats is 2 to 7 . if there are 35 more cats than spinsters , how many spinsters are there ?

5other

chris mixed 3 pounds of raisins with 3 pounds of nuts . if a pound of nuts costs 3 times as much as a pound of raisins , then the total cost of the raisins was what fraction of the total cost of the mixture ?

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 9 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?

2gain

how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 4 m x 2 m x 25 cm ?

1physics

a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 370 tickets were sold for a total cost of $ 3320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ?

0general

what is the sum of natural numbers between 40 and 100

0general

if 4 consecutive letters are selected at random from the english alphabet , then the probability that one of the letters is a vowel is ?

4probability

a man is 36 years older than his son . in three years , his age will be thrice the age of his son . the present age of this son is

0general

how much 60 % of 50 is greater than 50 % of 30 ?

2gain

a pair of articles was bought for $ 50 at a discount of 10 % . what must be the marked price of each of the article ?

2gain

a meal cost $ 37.25 adn there was no tax . if the tip was more than 10 pc but less than 15 pc of the price , then the total amount paid should be :

0general

a train moves at average speed of 40 kmph reaches its destination on time . what its average speed becomes 35 kmph , then it reaches its destination 15 late . find the length of the journey ?

1physics

evaluate 25 % of 450 + 45 % of 250

2gain

if a lends rs . 3500 to b at 10 % p . a . and b lends the same sum to c at 11.5 % p . a . , then the gain of b ( in rs . ) in a period of 3 years is

2gain

at a certain high school , the senior class is twice the size of the junior class . if 1 / 8 of the seniors and 3 / 4 of the juniors study japanese , what fraction of the students in both classes study japanese ?

0general

the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 25 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ?

3geometry

the sum of ages of 5 children born 3 years different each is 55 yrs . what is the age of the elder child ?

0general

there are 7 girls and 3 chairs . in how many ways girls can occupy the chairs ?

4probability

in a mixed college 160 students are there in one class . out of this 160 students 3 / 5 students are girls . how many boys are there ?

0general

a train running at 7 / 11 of its own speed reached a place in 22 hours . how much time could be saved if the train would have run at its own speed ?

1physics

a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3300 , a will get :

1physics

a line that passes through ( – 2 , – 4 ) and ( 3 , k ) has a slope = k . what is the value of k ?

0general

a dishonest milkman wants to make a profit on the selling of milk . he would like to mix water ( costing nothing ) with milk costing rs . 33 per litre so as to make a profit of 30 % on cost when he sells the resulting milk and water mixture for rs . 36 in what ratio should he mix the water and milk ?

2gain

carol is 5 times alice ’ s age but only twice as old as betty . alice is 12 years younger than carol . how old is betty ?

0general

a cheese factory sells its cheese in rectangular blocks . a normal block has a volume of 5 cubic feet . if a large block has twice the width , twice the depth , and the same length of a normal block , what is the volume of cheese in a large block in cubic feet ?

3geometry

in a box of 10 pens , a total of 2 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ?

0general

if the sum of the 4 th term and the 12 th term of an arithmetic progression is 30 , what is the sum of the first 15 terms of the progression ?

0general

if x and y are numbers such that ( x + 5 ) ( y - 5 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2

0general

find the value of ( 19 + 43 / 151 ) × 151

0general

the lcm of two numbers is 2310 and hcf is 61 . if one of the numbers is 210 . then what is the other number ?

1physics

the c . p of 30 books is equal to the s . p of 40 books . find his gain % or loss % ?

2gain