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

Problem stringlengths 5 967	category class label 6 classes
how many different values of positive integer x , for which \| x + 7 \| < x , are there ?	0general
you buy a piece of land with an area of â ˆ š 100 , how long is one side of the land plot ?	3geometry
find the cost of fencing around a circular field of diameter 14 m at the rate of rs . 2.50 a meter ?	1physics
a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many y acres were used for corn ?	5other
10 play kabadi , 15 play kho kho only , 5 play both gmaes . then how many in total ?	0general
a tailor trims 7 feet from opposite edges of a square piece of cloth , and 5 feet from the other two edges . if 45 square feet of cloth remain , what was the length of a side of the original piece of cloth ?	3geometry
$ 500 will become $ 1000 in 5 years find the rate of interest ?	2gain
( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 3.0 = ?	0general
the number 523 rbc is divisible by 7 , 89 . then what is the value of r * b * c	0general
a man buys rs . 20 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . what is the market value of each share ?	2gain
what is the smallest no . which must be added to 27452 so as to obtain a sum which is divisible by 9 ?	0general
find the average of first 4 multiples of 5 ?	0general
the sale price sarees listed for rs . 400 after successive discount is 10 % and 8 % is ?	2gain
the h . c . f of two numbers is 11 and their l . c . m is 7700 . if one of the numbers is 275 , then the other is	1physics
what is the smallest positive integer x , such that 2160 x is a perfect cube ?	3geometry
a batch of cookies was divided amomg 6 tins : 2 / 3 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 4 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin	0general
in a certain game , a large bag is filled with blue , green , purple and red chips worth 1 , 5 , x and 11 points each , respectively . the purple chips are worth more than the green chips , but less than the red chips . a certain number of chips are then selected from the bag . if the product of the point values of the selected chips is 28160 , how many purple chips were selected ?	0general
two numbers have a h . c . f of 12 and a product of two numbers is 2460 . find the l . c . m of the two numbers ?	1physics
if a - b = 9 and a ^ 2 + b ^ 2 = 281 , find the value of ab	0general
if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 16 integers , y consists of 18 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ?	5other
a train is moving at 6 / 7 of its usual speed . the train is 15 minutes too late . what is the usual time ( in hours ) for the train to complete the journey ?	1physics
exactly 3 / 5 of the people in the room are under the age of 21 , and exactly 5 / 13 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ?	0general
there are 2 sections a and b in a class , consisting of 60 and 70 students respectively . if the average weight of section a is 60 kg and that of section b is 80 kg , find the average of the whole class ?	0general
a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 80 % more recliners . what is the percentage increase of the gross ?	0general
in a family 19 people eat only vegetarian , 9 people eat only non veg . , 12 people eat both veg and non veg . . how many people eat veg in the family ?	5other
two friends plan to walk along a 36 - km trail , starting at opposite ends of the trail at the same time . if friend p ' s rate is 25 % faster than friend q ' s , how many kilometers will friend p have walked when they pass each other ?	2gain
for any integer k greater than 1 , the symbol k * denotes the product of all integers between 1 and k , inclusive . if k * is a multiple of 3,675 , what is the least possible value of k ?	0general
l . c . m of two numbers is 192 and there h . c . f is 16 . if one of them is 48 . find the other	1physics
at 3.40 , the hour hand and the minute hand of a clock form an angle of	1physics
x and y started a business with capitals rs . 20000 and rs . 25000 . after few months z joined them with a capital of rs . 30000 . if the share of z in the annual profit of rs . 50000 is rs . 14000 , then after how many months from the beginning did z join ?	2gain
if 18 men take 15 days to to complete a job , in how many days can 24 men finish that work ?	1physics
a boat goes 100 km downstream in 10 hours , and 75 m upstream in 15 hours . the speed of the stream is ?	1physics
if k is an integer and 121 < k ^ 2 < 225 , then k can have at most how many values ?	0general
a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 2.5 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
a sum of rs . 2040 has been divided among a , b and c such that a gets of what b gets and b gets of what c gets . b ’ s share is :	0general
an error 17 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ?	2gain
a boat can travel with a speed of 40 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 45 km downstream .	1physics
3 candidates in an election and received 1036 , 4636 and 11628 votes respectively . what % of the total votes did the winning candidate gotin that election ?	2gain
find the amount on rs . 5000 in 2 years , the rate of interest being 2 % per first year and 3 % for the second year ?	2gain
in plutarch enterprises , 60 % of the employees are marketers , 30 % are engineers , and the rest are managers . marketers make an average salary of $ 50,000 a year , and engineers make an average of $ 80,000 . what is the average salary for managers if the average for all employees is also $ 80,000 ?	0general
find the missing figures : 0.25 % of ? = 0.04	2gain
how many 6 digit number contain number 4 ?	0general
cricket match is conducted in us . the run rate of a cricket game was only 3.2 in first 10 over . what should be the run rate in the remaining 40 overs to reach the target of 262 runs ?	2gain
the mean of 40 observations was 36 . it was found later that an observation 34 was wrongly taken as 20 . the corrected new mean is	0general
a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 40 % , what is the total capacity of the pool in gallons ?	0general
the speed of a car is 10 m / s . what is the its speed in kmph .	1physics
total dinning bill of 5 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared .	0general
at a monthly meeting , 3 / 5 of the attendees were males and 4 / 5 of the male attendees arrived on time . if 5 / 6 of the female attendees arrived on time , what fraction of the attendees at the monthly meeting did not arrive on time ?	0general
the sum of 7 consecutive integers is 980 . how many of them are prime ?	1physics
if n = 8 ^ 8 – 7 , what is the units digit of n ?	0general
how many prime numbers between 1 and 100 are factors of 210 ?	5other
in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 12 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?	2gain
when positive integer x is divided by 7 , the quotient is y and the remainder is 3 . when 2 x is divided by 6 , the quotient is 3 y and the remainder is 2 . what is the value of 11 y – x ?	0general
n is a positive integer . when n + 1 is divided by 9 , the remainder is 1 . what is the remainder when n is divided by 9 ?	0general
how many positive integers less than 23 are prime numbers , odd multiples of 5 , or the sum of a positive multiple of 2 and a positive multiple of 4 ?	0general
we need to carve out 125 identical cubes from a cube . what is the minimum number of cuts needed ?	3geometry
if a : b : : 3 : 7 , then what is ( 5 a + 6 b ) : ( a - 2 b ) ?	0general
a block of wood has dimensions 10 cm x 10 cm x 50 cm . the block is painted red and then cut evenly at the 25 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ?	3geometry
a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 30 percent .	1physics
how many 4 digit numbers are there , if it is known that the first digit is even , the second is odd , the third is prime , the fourth ( units digit ) is divisible by 3 , and the digit 5 can be used only once ?	1physics
two brothers ram and ravi appeared for an exam . the probability of selection of ram is 6 / 7 and that of ravi is 1 / 5 . find the probability that both of them are selected .	0general
a volunteer organization is recruiting new members . in the fall they manage to increase their number by 6 % . by the spring however membership falls by 19 % . what is the total change in percentage from fall to spring ?	0general
one hour after yolanda started walking from x to y , a distance of 31 miles , bob started walking along the same road from y to x . if yolanda â s walking rate was 1 miles per hour and bob â s was 2 miles per hour , how many miles had bob walked when they met ?	1physics
the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 5565 , what is the length of the plot in metres ?	1physics
if the perimeter of δ acd is 9 + 3 √ 3 , what is the perimeter of equilateral triangle δ abc ?	3geometry
if 8 boys meet at a reunion and each boy shakes hands exactly once with each of the others , then what is the total number of handshakes	0general
a man ' s basic pay for a 40 hour week is rs . 20 . overtime is paid for at 25 % above the basic rate . in a certain week he worked overtime and his total wage was rs . 25 . he therefore worked for a total of :	2gain
a can complete a work in 15 days and b can do the same work in 7 days . if a after doing 3 days , leaves the work , find in how many days b will do the remaining work ?	1physics
how many positive integers less than 60 have a reminder 01 when divided by 3 ?	0general
it takes six minutes to load a certain video on a cellphone , and fifteen seconds to load that same video on a laptop . if the two devices were connected so that they operated in concert at their respective rates , how many seconds would it take them to load the video ?	1physics
a computer store offers employees a 10 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 1200 dollars and marked up the price 10 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 10 % off retail price ) as opposed to the final retail price .	2gain
for all real numbers v , an operation is defined by the equation v * = v - v / 3 . if ( v * ) * = 12 , then v =	0general
the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 500 resolutions .	1physics
20 percent of the women in a college class are science majors , and the non - science majors make up 60 % of the class . what percentage of the men are science majors if 40 % of the class are men ?	2gain
a grocer has a sale of rs . 8435 , rs . 8927 , rs . 8855 , rs . 9230 and rs . 8562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 8500 ?	0general
two stations a and b are 110 km apart on a straight line . one train starts from a at 5 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ?	1physics
a circular ground whose diameter is 40 metres , has a garden of area 1100 m ^ 2 around it . what is the wide of the path of the garden ?	1physics
in a manufacturing plant , it takes 36 machines 4 hours of continuous work to fill 4 standard orders . at this rate , how many hours of continuous work by 72 machines are required to fill 12 standard orders ?	1physics
a man gains 20 % by selling an article for a certain price . if he sells it at double the price , the percentage of profit will be .	2gain
if the cost price is 90 % of the selling price , then what is the profit percent ?	2gain
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 $ 200 , and the total cost is $ 40,000 , what is the value of n ?	0general
7 does not occur in 1000 . so we have to count the number of times it appears between 1 and 999 . any number between 1 and 999 can be expressed in the form of xyz where 0 < x , y , z < 9 .	0general
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 16 km ?	1physics
in 1982 and 1983 , company b ’ s operating expenses were $ 12.0 million and $ 15.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ?	0general
peter can cover a certain distance in 1 hr . 24 min . by covering two - third of the distance at 4 kmph and the rest at 5 kmph . find the total distance .	1physics
if the area of a circle decreases by 20 % , then the radius of a circle decreases by	3geometry
if n is a natural number , then ( 6 n ^ 2 + 6 n ) is always divisible by ?	0general
two trains 140 m and 180 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?	1physics
the average of first seven multiples of 8 is :	0general
a box contains 100 balls , numbered from 1 to 100 . if 3 balls are selected at random and with replacement from the box . if the 3 numbers on the balls selected contain two odd and one even . what is the probability j that the first ball picked up is odd numbered ?	4probability
the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 54 square centimeters , what is the length of the rectangle in centimeters ?	3geometry
carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 3 inches long , how wide is jordan ' s rectangle , in inches ?	3geometry
dacid obtained 76 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?	0general
16 ltr of water is added with 24 ltr of a solution containing 90 % of alcohol in the water . the % of alcohol in the new mixture is ?	0general
a bag contains 3 white marbles and 3 black marbles . if each of 3 girls and 3 boys randomly selects and keeps a marble , what is the probability that all of the girls select the same colored marble ?	4probability
a cube has four of its faces painted half red and half white . the other faces are completely painted white . what is the ratio between the red painted areas and the white painted areas of the cube ?	3geometry
if a book is sold at 5 % profit instead of 5 % loss , it would have brought rs 13 more . find out the cost price of the book	2gain
if 4 and 8 are factors of 60 n , what is the minimum value of n ?	5other
if 3 ^ 8 x 3 ^ 7 = 3 ^ n what is the value of n ?	0general
in karthik ' s opinion , his weight is greater than 55 kg but less than 62 kg . his brother does not agree with karthik and he thinks that karthik ' s weight is greater than 50 kg but less than 60 kg . his father ' s view is that his weight can not be greater than 58 kg . if all of them are correct in their estimation , what is the average of different probable weights of karthik ?	0general

how many different values of positive integer x , for which | x + 7 | < x , are there ?

0general

you buy a piece of land with an area of â ˆ š 100 , how long is one side of the land plot ?

3geometry

find the cost of fencing around a circular field of diameter 14 m at the rate of rs . 2.50 a meter ?

1physics

a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many y acres were used for corn ?

5other

10 play kabadi , 15 play kho kho only , 5 play both gmaes . then how many in total ?

0general

a tailor trims 7 feet from opposite edges of a square piece of cloth , and 5 feet from the other two edges . if 45 square feet of cloth remain , what was the length of a side of the original piece of cloth ?

3geometry

$ 500 will become $ 1000 in 5 years find the rate of interest ?

2gain

( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 3.0 = ?

0general

the number 523 rbc is divisible by 7 , 89 . then what is the value of r * b * c

0general

a man buys rs . 20 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . what is the market value of each share ?

2gain

what is the smallest no . which must be added to 27452 so as to obtain a sum which is divisible by 9 ?

0general

find the average of first 4 multiples of 5 ?

0general

the sale price sarees listed for rs . 400 after successive discount is 10 % and 8 % is ?

2gain

the h . c . f of two numbers is 11 and their l . c . m is 7700 . if one of the numbers is 275 , then the other is

1physics

what is the smallest positive integer x , such that 2160 x is a perfect cube ?

3geometry

a batch of cookies was divided amomg 6 tins : 2 / 3 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 4 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin

0general

in a certain game , a large bag is filled with blue , green , purple and red chips worth 1 , 5 , x and 11 points each , respectively . the purple chips are worth more than the green chips , but less than the red chips . a certain number of chips are then selected from the bag . if the product of the point values of the selected chips is 28160 , how many purple chips were selected ?

0general

two numbers have a h . c . f of 12 and a product of two numbers is 2460 . find the l . c . m of the two numbers ?

1physics

if a - b = 9 and a ^ 2 + b ^ 2 = 281 , find the value of ab

0general

if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 16 integers , y consists of 18 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ?

5other

a train is moving at 6 / 7 of its usual speed . the train is 15 minutes too late . what is the usual time ( in hours ) for the train to complete the journey ?

1physics

exactly 3 / 5 of the people in the room are under the age of 21 , and exactly 5 / 13 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ?

0general

there are 2 sections a and b in a class , consisting of 60 and 70 students respectively . if the average weight of section a is 60 kg and that of section b is 80 kg , find the average of the whole class ?

0general

a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 80 % more recliners . what is the percentage increase of the gross ?

0general

in a family 19 people eat only vegetarian , 9 people eat only non veg . , 12 people eat both veg and non veg . . how many people eat veg in the family ?

5other

two friends plan to walk along a 36 - km trail , starting at opposite ends of the trail at the same time . if friend p ' s rate is 25 % faster than friend q ' s , how many kilometers will friend p have walked when they pass each other ?

2gain

for any integer k greater than 1 , the symbol k * denotes the product of all integers between 1 and k , inclusive . if k * is a multiple of 3,675 , what is the least possible value of k ?

0general

l . c . m of two numbers is 192 and there h . c . f is 16 . if one of them is 48 . find the other

1physics

at 3.40 , the hour hand and the minute hand of a clock form an angle of

1physics

x and y started a business with capitals rs . 20000 and rs . 25000 . after few months z joined them with a capital of rs . 30000 . if the share of z in the annual profit of rs . 50000 is rs . 14000 , then after how many months from the beginning did z join ?

2gain

if 18 men take 15 days to to complete a job , in how many days can 24 men finish that work ?

1physics

a boat goes 100 km downstream in 10 hours , and 75 m upstream in 15 hours . the speed of the stream is ?

1physics

if k is an integer and 121 < k ^ 2 < 225 , then k can have at most how many values ?

0general

a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 2.5 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

a sum of rs . 2040 has been divided among a , b and c such that a gets of what b gets and b gets of what c gets . b ’ s share is :

0general

an error 17 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ?

2gain

a boat can travel with a speed of 40 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 45 km downstream .

1physics

3 candidates in an election and received 1036 , 4636 and 11628 votes respectively . what % of the total votes did the winning candidate gotin that election ?

2gain

find the amount on rs . 5000 in 2 years , the rate of interest being 2 % per first year and 3 % for the second year ?

2gain

in plutarch enterprises , 60 % of the employees are marketers , 30 % are engineers , and the rest are managers . marketers make an average salary of $ 50,000 a year , and engineers make an average of $ 80,000 . what is the average salary for managers if the average for all employees is also $ 80,000 ?

0general

find the missing figures : 0.25 % of ? = 0.04

2gain

how many 6 digit number contain number 4 ?

0general

cricket match is conducted in us . the run rate of a cricket game was only 3.2 in first 10 over . what should be the run rate in the remaining 40 overs to reach the target of 262 runs ?

2gain

the mean of 40 observations was 36 . it was found later that an observation 34 was wrongly taken as 20 . the corrected new mean is

0general

a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 40 % , what is the total capacity of the pool in gallons ?

0general

the speed of a car is 10 m / s . what is the its speed in kmph .

1physics

total dinning bill of 5 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared .

0general

at a monthly meeting , 3 / 5 of the attendees were males and 4 / 5 of the male attendees arrived on time . if 5 / 6 of the female attendees arrived on time , what fraction of the attendees at the monthly meeting did not arrive on time ?

0general

the sum of 7 consecutive integers is 980 . how many of them are prime ?

1physics

if n = 8 ^ 8 – 7 , what is the units digit of n ?

0general

how many prime numbers between 1 and 100 are factors of 210 ?

5other

in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 12 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ?

2gain

when positive integer x is divided by 7 , the quotient is y and the remainder is 3 . when 2 x is divided by 6 , the quotient is 3 y and the remainder is 2 . what is the value of 11 y – x ?

0general

n is a positive integer . when n + 1 is divided by 9 , the remainder is 1 . what is the remainder when n is divided by 9 ?

0general

how many positive integers less than 23 are prime numbers , odd multiples of 5 , or the sum of a positive multiple of 2 and a positive multiple of 4 ?

0general

we need to carve out 125 identical cubes from a cube . what is the minimum number of cuts needed ?

3geometry

if a : b : : 3 : 7 , then what is ( 5 a + 6 b ) : ( a - 2 b ) ?

0general

a block of wood has dimensions 10 cm x 10 cm x 50 cm . the block is painted red and then cut evenly at the 25 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ?

3geometry

a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 30 percent .

1physics

how many 4 digit numbers are there , if it is known that the first digit is even , the second is odd , the third is prime , the fourth ( units digit ) is divisible by 3 , and the digit 5 can be used only once ?

1physics

two brothers ram and ravi appeared for an exam . the probability of selection of ram is 6 / 7 and that of ravi is 1 / 5 . find the probability that both of them are selected .

0general

a volunteer organization is recruiting new members . in the fall they manage to increase their number by 6 % . by the spring however membership falls by 19 % . what is the total change in percentage from fall to spring ?

0general

one hour after yolanda started walking from x to y , a distance of 31 miles , bob started walking along the same road from y to x . if yolanda â s walking rate was 1 miles per hour and bob â s was 2 miles per hour , how many miles had bob walked when they met ?

1physics

the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 5565 , what is the length of the plot in metres ?

1physics

if the perimeter of δ acd is 9 + 3 √ 3 , what is the perimeter of equilateral triangle δ abc ?

3geometry

if 8 boys meet at a reunion and each boy shakes hands exactly once with each of the others , then what is the total number of handshakes

0general

a man ' s basic pay for a 40 hour week is rs . 20 . overtime is paid for at 25 % above the basic rate . in a certain week he worked overtime and his total wage was rs . 25 . he therefore worked for a total of :

2gain

a can complete a work in 15 days and b can do the same work in 7 days . if a after doing 3 days , leaves the work , find in how many days b will do the remaining work ?

1physics

how many positive integers less than 60 have a reminder 01 when divided by 3 ?

0general

it takes six minutes to load a certain video on a cellphone , and fifteen seconds to load that same video on a laptop . if the two devices were connected so that they operated in concert at their respective rates , how many seconds would it take them to load the video ?

1physics

a computer store offers employees a 10 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 1200 dollars and marked up the price 10 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 10 % off retail price ) as opposed to the final retail price .

2gain

for all real numbers v , an operation is defined by the equation v * = v - v / 3 . if ( v * ) * = 12 , then v =

0general

the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 500 resolutions .

1physics

20 percent of the women in a college class are science majors , and the non - science majors make up 60 % of the class . what percentage of the men are science majors if 40 % of the class are men ?

2gain

a grocer has a sale of rs . 8435 , rs . 8927 , rs . 8855 , rs . 9230 and rs . 8562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 8500 ?

0general

two stations a and b are 110 km apart on a straight line . one train starts from a at 5 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ?

1physics

a circular ground whose diameter is 40 metres , has a garden of area 1100 m ^ 2 around it . what is the wide of the path of the garden ?

1physics

in a manufacturing plant , it takes 36 machines 4 hours of continuous work to fill 4 standard orders . at this rate , how many hours of continuous work by 72 machines are required to fill 12 standard orders ?

1physics

a man gains 20 % by selling an article for a certain price . if he sells it at double the price , the percentage of profit will be .

2gain

if the cost price is 90 % of the selling price , then what is the profit percent ?

2gain

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 $ 200 , and the total cost is $ 40,000 , what is the value of n ?

0general

7 does not occur in 1000 . so we have to count the number of times it appears between 1 and 999 . any number between 1 and 999 can be expressed in the form of xyz where 0 < x , y , z < 9 .

0general

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 16 km ?

1physics

in 1982 and 1983 , company b ’ s operating expenses were $ 12.0 million and $ 15.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ?

0general

peter can cover a certain distance in 1 hr . 24 min . by covering two - third of the distance at 4 kmph and the rest at 5 kmph . find the total distance .

1physics

if the area of a circle decreases by 20 % , then the radius of a circle decreases by

3geometry

if n is a natural number , then ( 6 n ^ 2 + 6 n ) is always divisible by ?

0general

two trains 140 m and 180 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?

1physics

the average of first seven multiples of 8 is :

0general

a box contains 100 balls , numbered from 1 to 100 . if 3 balls are selected at random and with replacement from the box . if the 3 numbers on the balls selected contain two odd and one even . what is the probability j that the first ball picked up is odd numbered ?

4probability

the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 54 square centimeters , what is the length of the rectangle in centimeters ?

3geometry

carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 3 inches long , how wide is jordan ' s rectangle , in inches ?

3geometry

dacid obtained 76 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?

0general

16 ltr of water is added with 24 ltr of a solution containing 90 % of alcohol in the water . the % of alcohol in the new mixture is ?

0general

a bag contains 3 white marbles and 3 black marbles . if each of 3 girls and 3 boys randomly selects and keeps a marble , what is the probability that all of the girls select the same colored marble ?

4probability

a cube has four of its faces painted half red and half white . the other faces are completely painted white . what is the ratio between the red painted areas and the white painted areas of the cube ?

3geometry

if a book is sold at 5 % profit instead of 5 % loss , it would have brought rs 13 more . find out the cost price of the book

2gain

if 4 and 8 are factors of 60 n , what is the minimum value of n ?

5other

if 3 ^ 8 x 3 ^ 7 = 3 ^ n what is the value of n ?

0general

in karthik ' s opinion , his weight is greater than 55 kg but less than 62 kg . his brother does not agree with karthik and he thinks that karthik ' s weight is greater than 50 kg but less than 60 kg . his father ' s view is that his weight can not be greater than 58 kg . if all of them are correct in their estimation , what is the average of different probable weights of karthik ?

0general