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

Problem stringlengths 5 967	category class label 6 classes
how many of the positive divisors g of 120 are also multiples of 4 not including 120 ?	0general
( 9568422 x 558 ) = ?	0general
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 70 % 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
if the diameter of circle r is 60 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ?	3geometry
a small company reduced its faculty by approximately 13 percent to 263 employees . what was the original number of employees ?	2gain
the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg . what is the weight of the new person ?	0general
a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter m of liquid a was contained by the can initially ?	1physics
a train running at the speed of 120 km / hr crosses a pole in 12 seconds . what is the length of the train ?	1physics
the function f ( y ) represents the number of ways that prime numbers can be uniquely summed to form a certain number y such that y = a + b + c + d … where those summed variables are each prime and a ≤ b ≤ c ≤ d . . . for instance f ( 8 ) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5 . what is f ( 12 ) ?	0general
what is the remainder when 220 * 165 * 110 * 55 is divided by 15 ?	0general
a person can swim in still water at 20 km / h . if the speed of water 12 km / h , how many hours will the man take to swim back against the current for 40 km ?	1physics
a person was asked to state his age in years . his reply was , ` ` take my age 3 years hence , multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old i am . ' ' what was the age of the person ?	0general
the average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 48 kg is replaced by a new man . what is the weight of the new man ?	0general
a man rows his boat 105 km downstream and 45 km upstream , taking 2 1 / 2 hours each time . find the speed of the stream ?	1physics
a can do a job in 20 days and b can do it in 30 days . a and b working together will finish twice the amount of work in - - - - - - - days ?	1physics
if the average of 744 , 745 , 747 , 748 , 749 , 752 , 752 , 753 , 755 and x is 750 , what is the value of x ?	0general
the ratio , by volume , of soap to alcohol to water in a certain solution is 2 : 50 : 100 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ?	3geometry
if n is a positive integer and n ^ 2 is divisible by 72 , then the largest positive integer that must divide n is	0general
little john had $ 20.10 . he spent $ 1.05 on sweets and gave to his two friends $ 1.00 each . how much money was left ?	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 30 % , what is the total capacity of the pool in gallons ?	0general
the area of sector of a circle whose radius is 12 metro and whose angle at the center is 30 еў is ?	3geometry
there are two positive numbers in the ratio 3 : 11 . if the larger number exceeds the smaller by 32 , then what is the smaller number ?	5other
if the volume and surface area of a sphere are numerically the same , then its radius is : ?	3geometry
there are 200 female managers in a certain company . find the total number t of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers .	0general
60 + 5 * 12 / ( 180 / 3 ) = ?	0general
to a sugar solution of 3 liters containing 40 % sugar , one liter of water is added . the percentage of sugar in the new solution is ?	2gain
if 2 ^ 98 = 256 l + n , where land n are integers and 0 ≤ n ≤ 4 , what is the value of n ?	0general
a shopkeeper labeled the price of his articles so as to earn a profit of 20 % on the cost price . he then sold the articles by offering a discount of 5 % on the labeled price . what is the actual percent profit earned in the deal ?	2gain
by selling 11 pencils for a rupee a man loses 30 % . how many for a rupee should he sell in order to gain 30 % ?	2gain
a can do a job in 18 days and b can do it in 30 days . a and b working together will finish thrice the amount of work in - - - - - - - days ?	1physics
the length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size . if the area of the new rectangle is equal to 1800 square meters , what is the area of the original rectangle ?	3geometry
there are 200 female managers in a certain company . find the total number y of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers .	0general
a and b r 2 men who enter into business and they invest rs 1000 , rs 2000 respectively . how will they divide the income of rs 5000	2gain
if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 4 ø 2 ) ø 3 = ?	0general
a survey was taken among 100 brainiacs . of those surveyed , twice as many brainiacs likerebus teasers as math teasers . if 18 brainiacs like both rebus teasers and math teasers and 4 like neither kind of teaser , how many brainiacs like math teasers but not rebus teasers ?	5other
in a certain pond , 80 fish were caught , tagged , and returned to the pond . a few days later , 80 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?	2gain
x is a positive integer of t less than 500 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ?	0general
the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 1400 per sq . metre .	1physics
in a rectangular box measuring 12 inches by 14 inches by 16 inches if small rectangular boxes measuring 3 inches by 7 inches by 2 inches are arranged in it , what is the max number of boxes that fit into it ?	0general
ashis ' s height is 25 % more than babji , by how much percent babji ' s height is less than ashis .	0general
what is the difference between the place value and the face value of 7 in the numeral 297832 ?	0general
in a graduating class , 40 percent of the students are male . in this class , 40 percent of the male students and 20 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ?	0general
what is the least number to be subtracted from 696 to make it a perfect square ?	0general
if the remainder is 12 when the integer n is divided by 22 , what is the remainder when 2 n is divided by 11 ?	0general
the average marks of a class of 30 students is 40 and that of another class of 50 students is 80 . find the average marks of all the students ?	0general
a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( - 1 , - 4 ) . what is the smallest possible area of that circle ?	3geometry
a jar contains a mixture of a & b in the ratio 4 : 1 . when 10 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially .	5other
at an m & m factory , two types of m & ms are produced , red and blue . the m & ms are transported individually on a conveyor belt . anna is watching the conveyor belt , and has determined that 4 out of every 5 red m & ms are followed by a blue one , while one out of every 6 blue m & ms is followed by a red one . what proportion of the m & ms are red ?	5other
in a certain corporation , there are 300 male employees and 150 female employees . it is known that 50 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ?	5other
ravi and kavi start a business by investing â ‚ ¹ 5000 and â ‚ ¹ 72000 , respectively . find the ratio of their profits at the end of year .	2gain
if a ( a + 2 ) = 99 and b ( b + 2 ) = 99 , where a ≠ b , then a + b =	0general
three numbers are in the ratio 5 : 4 : 6 and their average is 750 . the largest number is :	0general
by selling 18 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ?	2gain
find the average of all numbers between 3 and 69 which are divisible by 5	0general
if x is a sum of all even integers on the interval 13 . . . 63 and y is their number , what is the gcd ( x , y ) ?	0general
joe invested a certain sum of money in a simple interest bond whose value grew to $ 260 at the end of 3 years and to $ 360 at the end of another 5 years . what was the rate of interest in which he invested his sum ?	2gain
a cuban cigar would cost 3 dollar less than 1.5 times a french cigar , had the french cigar cost 0.7 dollar less than it does now . an arabian cigar costs 50 cents more than 1.5 times the cuban cigar . the 3 cigars together cost 74.7 dollars . what is the price of the french cigar ?	0general
the salary of a worker is first increased by 15 % and afterwards reduced by 15 % . what is the net change in the worker ' s salary ?	2gain
a company decreased the price of its main product by 25 % . subsequently , the number of units sold increased such that the total revenue remained unchanged . what was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product ?	0general
a firm is comprised of partners and associates in a ratio of 2 : 63 . if 35 more associates were hired , the ratio of partners to associates would be 1 : 34 . how many partners are currently in the firm ?	5other
carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 12 inches by 15 inches and jordan ' s rectangle is 9 inches long , how wide is jordan ' s rectangle , in inches ?	3geometry
x starts a business with rs . 45000 . y joins in the business after 6 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ?	5other
sam invested $ 1000 @ 20 % per annum for one year . if the interest is compounded half yearly , then the amount received by sam at the end of the year will be ?	2gain
solve below question 3 x - 5 = - 20	0general
the average of runs of a cricket player of 10 innings was 30 . how many runs must he make in his next innings so as to increase his average of runs by 4 ?	0general
if 30 % of a number is equal to one - fourth of another number , what is the ratio of first number to the second number ?	0general
a cistern is two - third full of water . pipe a can fill the remaining part in 12 minutes and pipe b in 8 minutes . once the cistern is emptied , how much time will they take to fill it together completely ?	1physics
what should be added to 5021 so that it may become a perfect square ?	3geometry
when a student joe , weighing 44 kg , joins a group of students whose average weight is 30 kg , the average weight goes up by 1 kg . subsequently , if two students , excluding joe , leave the group the average weight comes back to 30 kg . what is the difference between the average weight of the two students who left and the weight of joe ?	0general
70 is what percent of 125 ?	2gain
( 525 + 275 ) ã — 4 ã — ( 3 + 2 ) = ?	0general
if a 2 - b 2 = 8 and a * b = 2 , find a 4 + b 4 .	0general
when positive integer x is divided by positive integer y , the remainder is 5.76 . if x / y = 96.12 , what is the value of y ?	0general
timothy leaves home for school , riding his bicycle at a rate of 6 miles per hour . fifteen minutes after he leaves , his mother sees timothy ’ s math homework lying on his bed and immediately leaves home to bring it to him . if his mother drives at 36 miles per hour , how far ( in terms of miles ) must she drive before she reaches timothy ? i think is a 700 level problem but i tag it as 600 / 700 , let me know . either way i hope in an explanationthanks	1physics
in a group of cows and hens , the number of legs are 20 more than twice the number of heads . the number of cows is :	0general
two trains of equal length , running with the speeds of 60 and 40 kmph , take 55 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?	1physics
the instructions state that cheryl needs 5 / 9 square yards of one type of material and 1 / 3 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 8 / 24 square yards left that she did not use . what is the total amount of square yards of material cheryl used ?	0general
what is the value of n if the sum of the consecutive odd intergers q from 1 to n equals 169 ?	0general
how many kg of pure salt must be added to 100 kg of 10 % solution of salt and water to increase it to a 30 % solution ?	0general
the owner of a furniture shop charges his customer 20 % more than the cost price . if a customer paid rs . 3600 for a computer table , then what was the cost price of the computer table ?	2gain
a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 12 miles per gallon , and from town b to town c , the car averaged 11 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ?	0general
because he ’ s taxed by his home planet , mork pays a tax rate of 30 % on his income , while mindy pays a rate of only 20 % on hers . if mindy earned 3 times as much as mork did , what was their combined tax rate ?	2gain
sahil purchased a machine at rs 9000 , then got it repaired at rs 5000 , then gave its transportation charges rs 1000 . then he sold it with 50 % of profit . at what price he actually sold it .	2gain
find the surface area of a 10 cm * 4 cm * 3 cm brick .	3geometry
if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 15 % per annum then the gain of b in a period of 3 years is ?	2gain
two twins sisters sita and geeta were standing back to back and suddenly they started running in opposite directions for 10 km each . then they turned left and ran for another 7.5 km . what is the distance ( in kilometers ) between the the two twins when they stop ?	1physics
a train running at the speed of 30 km / hr crosses a pole in 6 sec . what is the length of the train ?	1physics
in how many ways can the integer 15 be expressed as a product of two different positive integers ?	0general
if 5 x + 3 = 10 x – 17 , what is the value of x ?	0general
a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1.8 cm when a man gets on it . the mass of man is	1physics
one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill tank in 36 min , then the slower pipe alone will be able to fill the tank in ?	1physics
a batsman scored 150 runs which included 3 boundaries and 8 sixes . what % of his total score did he make by running between the wickets	0general
a furniture dealer purchased a desk for $ 150 and then set the selling price equal to the purchase price plus a markup that was 50 % of the selling price . if the dealer sold the desk at the selling price , what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?	2gain
p and q started a business investing rs . 85,000 and rs . 15,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ?	2gain
1 / 216 , 415 , 356 , _ ?	0general
the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 16 . the larger of the two numbers is :	5other
two good train each 100 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one .	1physics
what is the total number of positive integers that are less than 800 and that have no positive factor in common with 800 other than 1 ?	0general
the amount of time that three people worked on a special project was in the ratio of 1 to 2 to 3 . if the project took 120 hours , how many more hours did the hardest working person work than the person who worked the least ?	1physics
two trains start at same time from two stations and proceed towards each other at the rate of 20 km / hr and 25 km / hr respectively . when they meet , it is found that one train has traveled 50 km more than the other . what is the distance between the two stations ?	0general

how many of the positive divisors g of 120 are also multiples of 4 not including 120 ?

0general

( 9568422 x 558 ) = ?

0general

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 70 % 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

if the diameter of circle r is 60 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ?

3geometry

a small company reduced its faculty by approximately 13 percent to 263 employees . what was the original number of employees ?

2gain

the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg . what is the weight of the new person ?

0general

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

1physics

a train running at the speed of 120 km / hr crosses a pole in 12 seconds . what is the length of the train ?

1physics

the function f ( y ) represents the number of ways that prime numbers can be uniquely summed to form a certain number y such that y = a + b + c + d … where those summed variables are each prime and a ≤ b ≤ c ≤ d . . . for instance f ( 8 ) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5 . what is f ( 12 ) ?

0general

what is the remainder when 220 * 165 * 110 * 55 is divided by 15 ?

0general

a person can swim in still water at 20 km / h . if the speed of water 12 km / h , how many hours will the man take to swim back against the current for 40 km ?

1physics

a person was asked to state his age in years . his reply was , ` ` take my age 3 years hence , multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old i am . ' ' what was the age of the person ?

0general

the average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 48 kg is replaced by a new man . what is the weight of the new man ?

0general

a man rows his boat 105 km downstream and 45 km upstream , taking 2 1 / 2 hours each time . find the speed of the stream ?

1physics

a can do a job in 20 days and b can do it in 30 days . a and b working together will finish twice the amount of work in - - - - - - - days ?

1physics

if the average of 744 , 745 , 747 , 748 , 749 , 752 , 752 , 753 , 755 and x is 750 , what is the value of x ?

0general

the ratio , by volume , of soap to alcohol to water in a certain solution is 2 : 50 : 100 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ?

3geometry

if n is a positive integer and n ^ 2 is divisible by 72 , then the largest positive integer that must divide n is

0general

little john had $ 20.10 . he spent $ 1.05 on sweets and gave to his two friends $ 1.00 each . how much money was left ?

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 30 % , what is the total capacity of the pool in gallons ?

0general

the area of sector of a circle whose radius is 12 metro and whose angle at the center is 30 еў is ?

3geometry

there are two positive numbers in the ratio 3 : 11 . if the larger number exceeds the smaller by 32 , then what is the smaller number ?

5other

if the volume and surface area of a sphere are numerically the same , then its radius is : ?

3geometry

there are 200 female managers in a certain company . find the total number t of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers .

0general

60 + 5 * 12 / ( 180 / 3 ) = ?

0general

to a sugar solution of 3 liters containing 40 % sugar , one liter of water is added . the percentage of sugar in the new solution is ?

2gain

if 2 ^ 98 = 256 l + n , where land n are integers and 0 ≤ n ≤ 4 , what is the value of n ?

0general

a shopkeeper labeled the price of his articles so as to earn a profit of 20 % on the cost price . he then sold the articles by offering a discount of 5 % on the labeled price . what is the actual percent profit earned in the deal ?

2gain

by selling 11 pencils for a rupee a man loses 30 % . how many for a rupee should he sell in order to gain 30 % ?

2gain

a can do a job in 18 days and b can do it in 30 days . a and b working together will finish thrice the amount of work in - - - - - - - days ?

1physics

the length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size . if the area of the new rectangle is equal to 1800 square meters , what is the area of the original rectangle ?

3geometry

there are 200 female managers in a certain company . find the total number y of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers .

0general

a and b r 2 men who enter into business and they invest rs 1000 , rs 2000 respectively . how will they divide the income of rs 5000

2gain

if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 4 ø 2 ) ø 3 = ?

0general

a survey was taken among 100 brainiacs . of those surveyed , twice as many brainiacs likerebus teasers as math teasers . if 18 brainiacs like both rebus teasers and math teasers and 4 like neither kind of teaser , how many brainiacs like math teasers but not rebus teasers ?

5other

in a certain pond , 80 fish were caught , tagged , and returned to the pond . a few days later , 80 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?

2gain

x is a positive integer of t less than 500 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ?

0general

the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 1400 per sq . metre .

1physics

in a rectangular box measuring 12 inches by 14 inches by 16 inches if small rectangular boxes measuring 3 inches by 7 inches by 2 inches are arranged in it , what is the max number of boxes that fit into it ?

0general

ashis ' s height is 25 % more than babji , by how much percent babji ' s height is less than ashis .

0general

what is the difference between the place value and the face value of 7 in the numeral 297832 ?

0general

in a graduating class , 40 percent of the students are male . in this class , 40 percent of the male students and 20 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ?

0general

what is the least number to be subtracted from 696 to make it a perfect square ?

0general

if the remainder is 12 when the integer n is divided by 22 , what is the remainder when 2 n is divided by 11 ?

0general

the average marks of a class of 30 students is 40 and that of another class of 50 students is 80 . find the average marks of all the students ?

0general

a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( - 1 , - 4 ) . what is the smallest possible area of that circle ?

3geometry

a jar contains a mixture of a & b in the ratio 4 : 1 . when 10 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially .

5other

at an m & m factory , two types of m & ms are produced , red and blue . the m & ms are transported individually on a conveyor belt . anna is watching the conveyor belt , and has determined that 4 out of every 5 red m & ms are followed by a blue one , while one out of every 6 blue m & ms is followed by a red one . what proportion of the m & ms are red ?

5other

in a certain corporation , there are 300 male employees and 150 female employees . it is known that 50 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ?

5other

ravi and kavi start a business by investing â ‚ ¹ 5000 and â ‚ ¹ 72000 , respectively . find the ratio of their profits at the end of year .

2gain

if a ( a + 2 ) = 99 and b ( b + 2 ) = 99 , where a ≠ b , then a + b =

0general

three numbers are in the ratio 5 : 4 : 6 and their average is 750 . the largest number is :

0general

by selling 18 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ?

2gain

find the average of all numbers between 3 and 69 which are divisible by 5

0general

if x is a sum of all even integers on the interval 13 . . . 63 and y is their number , what is the gcd ( x , y ) ?

0general

joe invested a certain sum of money in a simple interest bond whose value grew to $ 260 at the end of 3 years and to $ 360 at the end of another 5 years . what was the rate of interest in which he invested his sum ?

2gain

a cuban cigar would cost 3 dollar less than 1.5 times a french cigar , had the french cigar cost 0.7 dollar less than it does now . an arabian cigar costs 50 cents more than 1.5 times the cuban cigar . the 3 cigars together cost 74.7 dollars . what is the price of the french cigar ?

0general

the salary of a worker is first increased by 15 % and afterwards reduced by 15 % . what is the net change in the worker ' s salary ?

2gain

a company decreased the price of its main product by 25 % . subsequently , the number of units sold increased such that the total revenue remained unchanged . what was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product ?

0general

a firm is comprised of partners and associates in a ratio of 2 : 63 . if 35 more associates were hired , the ratio of partners to associates would be 1 : 34 . how many partners are currently in the firm ?

5other

carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 12 inches by 15 inches and jordan ' s rectangle is 9 inches long , how wide is jordan ' s rectangle , in inches ?

3geometry

x starts a business with rs . 45000 . y joins in the business after 6 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ?

5other

sam invested $ 1000 @ 20 % per annum for one year . if the interest is compounded half yearly , then the amount received by sam at the end of the year will be ?

2gain

solve below question 3 x - 5 = - 20

0general

the average of runs of a cricket player of 10 innings was 30 . how many runs must he make in his next innings so as to increase his average of runs by 4 ?

0general

if 30 % of a number is equal to one - fourth of another number , what is the ratio of first number to the second number ?

0general

a cistern is two - third full of water . pipe a can fill the remaining part in 12 minutes and pipe b in 8 minutes . once the cistern is emptied , how much time will they take to fill it together completely ?

1physics

what should be added to 5021 so that it may become a perfect square ?

3geometry

when a student joe , weighing 44 kg , joins a group of students whose average weight is 30 kg , the average weight goes up by 1 kg . subsequently , if two students , excluding joe , leave the group the average weight comes back to 30 kg . what is the difference between the average weight of the two students who left and the weight of joe ?

0general

70 is what percent of 125 ?

2gain

( 525 + 275 ) ã — 4 ã — ( 3 + 2 ) = ?

0general

if a 2 - b 2 = 8 and a * b = 2 , find a 4 + b 4 .

0general

when positive integer x is divided by positive integer y , the remainder is 5.76 . if x / y = 96.12 , what is the value of y ?

0general

timothy leaves home for school , riding his bicycle at a rate of 6 miles per hour . fifteen minutes after he leaves , his mother sees timothy ’ s math homework lying on his bed and immediately leaves home to bring it to him . if his mother drives at 36 miles per hour , how far ( in terms of miles ) must she drive before she reaches timothy ? i think is a 700 level problem but i tag it as 600 / 700 , let me know . either way i hope in an explanationthanks

1physics

in a group of cows and hens , the number of legs are 20 more than twice the number of heads . the number of cows is :

0general

two trains of equal length , running with the speeds of 60 and 40 kmph , take 55 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?

1physics

the instructions state that cheryl needs 5 / 9 square yards of one type of material and 1 / 3 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 8 / 24 square yards left that she did not use . what is the total amount of square yards of material cheryl used ?

0general

what is the value of n if the sum of the consecutive odd intergers q from 1 to n equals 169 ?

0general

how many kg of pure salt must be added to 100 kg of 10 % solution of salt and water to increase it to a 30 % solution ?

0general

the owner of a furniture shop charges his customer 20 % more than the cost price . if a customer paid rs . 3600 for a computer table , then what was the cost price of the computer table ?

2gain

a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 12 miles per gallon , and from town b to town c , the car averaged 11 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ?

0general

because he ’ s taxed by his home planet , mork pays a tax rate of 30 % on his income , while mindy pays a rate of only 20 % on hers . if mindy earned 3 times as much as mork did , what was their combined tax rate ?

2gain

sahil purchased a machine at rs 9000 , then got it repaired at rs 5000 , then gave its transportation charges rs 1000 . then he sold it with 50 % of profit . at what price he actually sold it .

2gain

find the surface area of a 10 cm * 4 cm * 3 cm brick .

3geometry

if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 15 % per annum then the gain of b in a period of 3 years is ?

2gain

two twins sisters sita and geeta were standing back to back and suddenly they started running in opposite directions for 10 km each . then they turned left and ran for another 7.5 km . what is the distance ( in kilometers ) between the the two twins when they stop ?

1physics

a train running at the speed of 30 km / hr crosses a pole in 6 sec . what is the length of the train ?

1physics

in how many ways can the integer 15 be expressed as a product of two different positive integers ?

0general

if 5 x + 3 = 10 x – 17 , what is the value of x ?

0general

a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1.8 cm when a man gets on it . the mass of man is

1physics

one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill tank in 36 min , then the slower pipe alone will be able to fill the tank in ?

1physics

a batsman scored 150 runs which included 3 boundaries and 8 sixes . what % of his total score did he make by running between the wickets

0general

a furniture dealer purchased a desk for $ 150 and then set the selling price equal to the purchase price plus a markup that was 50 % of the selling price . if the dealer sold the desk at the selling price , what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?

2gain

p and q started a business investing rs . 85,000 and rs . 15,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ?

2gain

1 / 216 , 415 , 356 , _ ?

0general

the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 16 . the larger of the two numbers is :

5other

two good train each 100 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one .

1physics

what is the total number of positive integers that are less than 800 and that have no positive factor in common with 800 other than 1 ?

0general

the amount of time that three people worked on a special project was in the ratio of 1 to 2 to 3 . if the project took 120 hours , how many more hours did the hardest working person work than the person who worked the least ?

1physics

two trains start at same time from two stations and proceed towards each other at the rate of 20 km / hr and 25 km / hr respectively . when they meet , it is found that one train has traveled 50 km more than the other . what is the distance between the two stations ?

0general