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

Problem stringlengths 5 967	category class label 6 classes
by selling an article at rs . 150 , a profit of 25 % is made . find its cost price ?	2gain
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 360 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )	1physics
a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 120,000 . the 75 associates have an average salary of $ 30,000 . what is the average salary for the company ?	0general
excluding stoppages , the speed of a bus is 5454 kmph and including stoppages , it is 4545 kmph . for how many minutes does the bus stop per hour ?	1physics
sheela deposits rs . 2500 in bank savings account . if this is 25 % of her monthly income . what is her monthly income in ?	2gain
in one hour , a boat goes 15 km along the stream and 5 km against the stream . the sped of the boat in still water ( in km / hr ) is :	2gain
what percent of 9.6 kg is 28 gms ?	2gain
a palindrome is a number that reads the same front - to - back as it does back - to - front ( e . g . 202 , 575 , 1991 , etc . ) p is the smallest integer greater than 400 that is both a prime and a palindrome . what is the sum of the digits of p ?	0general
the difference between simple and compound interests on a certain sum for 2 years at 4 % per annum is rs . 50 . the sum is	2gain
if a certain number is divided by 3 , the quotient , dividend , and divisor , added together , will amount to 63 . what is the number ?	0general
an electric pump can fill a tank in 7 hours . because of a leak in the tank , it took 14 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ?	1physics
a vendor sells 30 percent of the apples he had and throws away 20 percent of the remainder . the next day , the vendor sells 50 percent of the remaining apples and throws away the rest . in total , what percent of his apples does the vendor throw away ?	0general
if log 2 = 0.3010 and log 3 = 0.4771 , the values of log 5 512 is	5other
79 laboratories raise the bacterium , the laboratory have 48 culture dishes on average , which has about 25,071 bacteria each . how many bacteria are there approximately ?	0general
there is a train and car . the ratio btw the speed of a train & a car is 16 : 15 respectively . also , a bus covered a distance of 480 km in 8 h . the speed of the bus is 3 / 4 th of the speed of the train . how much distance will the car cover in 6 h ?	1physics
how many different pairs of positive integers ( a , b ) satisfy the equation 1 / a + 1 / b = 34 / 41 ?	0general
if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 50 , what is the compound interest on the same at the same rate and for the same time ?	2gain
of 61 players on a cricket team , 37 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ?	0general
what is the remainder when 7 ^ 498 is divided by 5 ?	0general
a person bought 118 glass bowls at a rate of rs . 12 per bowl . he sold 102 of them at rs . 15 and the remaining broke . what is the percentage gain for a ?	2gain
an engineering student has to secure 36 % marks to pass . he gets 130 marks and fails by 14 marks . the maximum no . of marks obtained by him is ?	2gain
he ratio between the sale price and the cost price of an article is 7 : 5 . what is the ratio between the profit and the cost price of that article ?	5other
what is the cp of rs 100 stock at 2 discount , with 1 / 5 % brokerage ?	2gain
two trains of length 100 meters and 200 meters are 840 meters apart . they are moving towards each other on parallel tracks , at speeds of 54 km / h and 72 km / h . after how many seconds will the trains meet ?	1physics
if a man walks to his office at ¾ of his usual rate , he reaches office 1 / 3 of an hour late than usual . what is his usual time to reach office ?	2gain
a batsman in his 15 th innings makes a score of 85 , and thereby increases his average by 3 . what is his average after the 15 th innings ? he had never been ’ not out ’ .	0general
a candidate appearing for an examination has to secure 40 % marks to pass paper i . but he secured only 40 marks and failed by 20 marks . what is the maximum mark for paper i ?	2gain
two - third of a positive number and 49 / 216 of its reciprocal are equal . the number is :	0general
a 160 meter long train crosses a man standing on the platform in 16 sec . what is the speed of the train ?	1physics
a race course is 400 m long . aa and bb run a race and aa wins by 5 m . bb and cc run over the same course and bb win by 4 m . cc and dd run over it and dd wins by 16 m . if aa and dd run over it , then who would win and by how much ?	1physics
a boat takes 19 hours for travelling downstream from point a to point b and coming back to a point c midway between a and b . if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph , what is the distance between a and b ?	1physics
12.5 * 4.2 * 8.8 = ?	0general
sonika bought a v . c . r . at the list price of 18,900 . if the rate of sales tax was 8 % , find the amount she had to pay for purchasing the v . c . r .	2gain
you collect baseball cards . suppose you start out with 21 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ?	0general
a man ' s speed with the current is 18 km / hr and the speed of the current is 3.4 km / hr . the man ' s speed against the current is	2gain
in town p , 60 percent of the population are employed , and 48 percent of the population are employed males . what percent of the employed people in town p are females ?	2gain
average monthly income of a family of 4 earning members was rs . 782 . one of the earning members died and therefore , the average income came down to rs 650 . the income of the deceased was ?	0general
how many words , with or without meaning , can be formed using all letters of the word equation using each letter exactly once ?	0general
a train 350 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?	1physics
what is remainder of the division ( 1125 * 1127 * 1129 ) / 12 ?	0general
the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 8000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is	0general
0.0005 ? = 0.01	0general
a library has an average of 140 visitors on sundays and 80 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is :	0general
the diagonal of a rhombus are 62 m and 80 m . its area is :	3geometry
the distance from city a to city b is 180 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ?	1physics
a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what percent of the list price is the lowest possible sale price ?	0general
find the least number must be added to 228712 so that remaining no . is divisible by 9 ?	0general
how many revolutions will a circular wheel make to travel a distance of 3 km , given that the radius is 2.4 m ?	1physics
if 4 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity , the tank is then filled to 9 / 10 of its capacity . how many gallons does the tank hold ?	0general
a drink vendor has 50 liters of maaza , 144 liters of pepsi and 368 liters of sprite . he wants to pack them in cans , so that each can contains the same number of liters of a drink , and does n ' t want to mix any two drinks in a can . what is the least number of cans required ?	0general
express a speed of 36 kmph in meters per second ?	1physics
lily shop runs a sale on goldfish and platys . if one customer buys 13 goldfish and 12 platys for $ 5.60 , and another buys 14 goldfish and 21 platys for $ 8.05 , what is the ratio of the price of goldfish to platys ?	5other
a woman invested $ 1,000 , part at 5 % and the rest at 6 % . her total investment with interest at the end of the year was $ 1,051 . how much did she invest at 5 % ?	2gain
in a class , 9 students like to play basketball and 8 like to play cricket . 6 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ?	5other
in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 7000 , the number of valid votes that the other candidate got , was :	2gain
if daily wages of a man is double to that of a woman , how many men should work for 10 days to earn rs . 14400 ? given that wages for 40 women for 30 days are rs . 21600 .	1physics
two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every third , starting with the third , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ?	5other
the rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started . if after a minute and a half the gyroscope reached a speed of 1600 meters per second , what was the speed , in meters per second , when the stopwatch was started ?	1physics
last year manfred received 26 paychecks . each of his first 6 paychecks was $ 750 ; each of his remaining paychecks was $ 40 more than each of his first 6 paychecks . to the nearest dollar , what was the average ( arithmetic mean ) amount of his pay checks for the year ?	0general
if two different solutions of alcohol with a respective proportion of water to alcohol of 3 : 1 and 2 : 3 were combined , what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts ?	0general
if the sum of 3 consecutive even numbers is 44 more than the average of these numbers , then the largest of these numbers is ?	0general
a man swims downstream 72 km and upstream 45 km taking 9 hours each time ; what is the speed of the current ?	1physics
solution y is 30 percent liquid x and 70 percent water . if 4 kilograms of water evaporate from 8 kilograms of solution y and 4 kilograms of solution y are added to the remaining 6 kilograms of liquid , what percent of this new solution is liquid x ?	2gain
a grocer has a sale of rs . 6435 , rs . 6927 , 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 . 6600 ?	0general
a can run 3 kms in 3 min 18 sec and b can run same distance in 3 min 40 sec , then by how much distance a can beat b ?	1physics
22 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be :	1physics
two cyclists are moving towards each other at 10 miles / hour . they are now 50 miles apart . at this instance a fly starts from one cyclist and move towards other and moves to and fro till the two cyclist meet each other . if the fly is moving at 15 miles / hour , what is the total distance covered by the fly ?	1physics
students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio s of men to women ?	0general
the maximum numbers of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is	0general
when a train travels at a speed of 100 kmph , it reaches the destination on time . when the same train travels at a speed of 50 kmph , it reaches its destination 15 min late . what is the length of journey ?	1physics
a circle graph shows how the megatech corporation allocates its research and development budget : 10 % microphotonics ; 24 % home electronics ; 15 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?	2gain
a train running at the speed of 60 km / hr crosses a pole in 3 sec . what is the length of the train ?	1physics
if the compound interest on a certain sum of money for 3 years at 10 % per annum be rs . 993 , what would be the simple interest ?	2gain
what least number must be subtracted from 427398 so that remaining no . is divisible by 13	0general
if k is the greatest positive integer such that 3 ^ k is a divisor of 24 ! then k =	0general
the present worth of a certain bill due sometime hence is rs . 800 and the true discount is rs . 36 . the banker ’ s discount is	2gain
an old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 81 times the difference between the two numbers . how many coins did the old man have ?	0general
how much is it cost $ 0.50 each tire for 8 tires ?	0general
it takes avery 4 hours to build a brick wall while tom can do it in 2 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?	1physics
two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 4 seconds . the length of the faster train is	1physics
set x consists of 15 integers and has median of 20 and a range of 20 . what is the value of the greatest possible integer that can be present in the set ?	0general
if x / 2 years ago roger was 18 years old and x / 2 years from now he will be 4 x years old , how old will he be 5 x years from now ?	0general
a small college reduced its faculty by approximately 23 percent to 195 professors . what was the original number of faculty members ?	2gain
a bakery has 6 employees . it pays annual salaries of $ 15,000 to each of 2 employees , $ 17,000 to 1 employee , and $ 18,000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ?	0general
the current birth rate per certain number of people is 32 , whereas corresponding death rate is 11 per same number of people . if the net growth rate in terms of population increase is 2.1 percent , find number of persons . ( initally )	2gain
if a lends rs . 4000 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is ?	2gain
if x is less than y by 35 % then y exceed x by :	0general
two numbers are in the ratio of 3 : 8 . if 24 be subtracted from each , they are in the ratio of 4 : 9 . find the numbers ?	5other
if 3 tic equals 6 tacs and 2 tacs equal 7 tocs , what is the ratio of one tic to one toc ?	5other
in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 60 % of the total ?	0general
the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.3 kg . the weight of the new student is	0general
a train 225 m long passes a man , running at 10 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is :	1physics
how many positive integers less than 100 are neither multiples of 4 or 5 .	0general
the area of a square is equal to five times the area of a rectangle of dimensions 27 cm * 16 cm . what is the perimeter of the square ?	3geometry
the present ratio of students to teachers at a certain school is 30 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ?	5other
a train is 360 meter long is running at a speed of 60 km / hour . in what time will it pass a bridge of 140 meter length ?	1physics
a reduction of 40 % in the price of bananas would enable a man to obtain 64 more for rs . 40 . what is the reduced price / dozen ?	0general
a certain company has records stored with a record storage firm in 15 - inch by 12 - inch by 10 - inch boxes . the boxes occupy 1.08 million cubic inches of space . if the company pays $ 0.4 per box per month for the record storage , what is the total amount that the company pays each month for record storage ?	0general
excluding stoppages , the speed of a bus is 48 kmph and including stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ?	1physics
in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 60 people were made to stand in a column , how many columns could be formed ?	5other

by selling an article at rs . 150 , a profit of 25 % is made . find its cost price ?

2gain

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 360 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )

1physics

a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 120,000 . the 75 associates have an average salary of $ 30,000 . what is the average salary for the company ?

0general

excluding stoppages , the speed of a bus is 5454 kmph and including stoppages , it is 4545 kmph . for how many minutes does the bus stop per hour ?

1physics

sheela deposits rs . 2500 in bank savings account . if this is 25 % of her monthly income . what is her monthly income in ?

2gain

in one hour , a boat goes 15 km along the stream and 5 km against the stream . the sped of the boat in still water ( in km / hr ) is :

2gain

what percent of 9.6 kg is 28 gms ?

2gain

a palindrome is a number that reads the same front - to - back as it does back - to - front ( e . g . 202 , 575 , 1991 , etc . ) p is the smallest integer greater than 400 that is both a prime and a palindrome . what is the sum of the digits of p ?

0general

the difference between simple and compound interests on a certain sum for 2 years at 4 % per annum is rs . 50 . the sum is

2gain

if a certain number is divided by 3 , the quotient , dividend , and divisor , added together , will amount to 63 . what is the number ?

0general

an electric pump can fill a tank in 7 hours . because of a leak in the tank , it took 14 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ?

1physics

a vendor sells 30 percent of the apples he had and throws away 20 percent of the remainder . the next day , the vendor sells 50 percent of the remaining apples and throws away the rest . in total , what percent of his apples does the vendor throw away ?

0general

if log 2 = 0.3010 and log 3 = 0.4771 , the values of log 5 512 is

5other

79 laboratories raise the bacterium , the laboratory have 48 culture dishes on average , which has about 25,071 bacteria each . how many bacteria are there approximately ?

0general

there is a train and car . the ratio btw the speed of a train & a car is 16 : 15 respectively . also , a bus covered a distance of 480 km in 8 h . the speed of the bus is 3 / 4 th of the speed of the train . how much distance will the car cover in 6 h ?

1physics

how many different pairs of positive integers ( a , b ) satisfy the equation 1 / a + 1 / b = 34 / 41 ?

0general

if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 50 , what is the compound interest on the same at the same rate and for the same time ?

2gain

of 61 players on a cricket team , 37 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ?

0general

what is the remainder when 7 ^ 498 is divided by 5 ?

0general

a person bought 118 glass bowls at a rate of rs . 12 per bowl . he sold 102 of them at rs . 15 and the remaining broke . what is the percentage gain for a ?

2gain

an engineering student has to secure 36 % marks to pass . he gets 130 marks and fails by 14 marks . the maximum no . of marks obtained by him is ?

2gain

he ratio between the sale price and the cost price of an article is 7 : 5 . what is the ratio between the profit and the cost price of that article ?

5other

what is the cp of rs 100 stock at 2 discount , with 1 / 5 % brokerage ?

2gain

two trains of length 100 meters and 200 meters are 840 meters apart . they are moving towards each other on parallel tracks , at speeds of 54 km / h and 72 km / h . after how many seconds will the trains meet ?

1physics

if a man walks to his office at ¾ of his usual rate , he reaches office 1 / 3 of an hour late than usual . what is his usual time to reach office ?

2gain

a batsman in his 15 th innings makes a score of 85 , and thereby increases his average by 3 . what is his average after the 15 th innings ? he had never been ’ not out ’ .

0general

a candidate appearing for an examination has to secure 40 % marks to pass paper i . but he secured only 40 marks and failed by 20 marks . what is the maximum mark for paper i ?

2gain

two - third of a positive number and 49 / 216 of its reciprocal are equal . the number is :

0general

a 160 meter long train crosses a man standing on the platform in 16 sec . what is the speed of the train ?

1physics

a race course is 400 m long . aa and bb run a race and aa wins by 5 m . bb and cc run over the same course and bb win by 4 m . cc and dd run over it and dd wins by 16 m . if aa and dd run over it , then who would win and by how much ?

1physics

a boat takes 19 hours for travelling downstream from point a to point b and coming back to a point c midway between a and b . if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph , what is the distance between a and b ?

1physics

12.5 * 4.2 * 8.8 = ?

0general

sonika bought a v . c . r . at the list price of 18,900 . if the rate of sales tax was 8 % , find the amount she had to pay for purchasing the v . c . r .

2gain

you collect baseball cards . suppose you start out with 21 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ?

0general

a man ' s speed with the current is 18 km / hr and the speed of the current is 3.4 km / hr . the man ' s speed against the current is

2gain

in town p , 60 percent of the population are employed , and 48 percent of the population are employed males . what percent of the employed people in town p are females ?

2gain

average monthly income of a family of 4 earning members was rs . 782 . one of the earning members died and therefore , the average income came down to rs 650 . the income of the deceased was ?

0general

how many words , with or without meaning , can be formed using all letters of the word equation using each letter exactly once ?

0general

a train 350 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?

1physics

what is remainder of the division ( 1125 * 1127 * 1129 ) / 12 ?

0general

the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 8000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is

0general

0.0005 ? = 0.01

0general

a library has an average of 140 visitors on sundays and 80 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is :

0general

the diagonal of a rhombus are 62 m and 80 m . its area is :

3geometry

the distance from city a to city b is 180 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ?

1physics

a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what percent of the list price is the lowest possible sale price ?

0general

find the least number must be added to 228712 so that remaining no . is divisible by 9 ?

0general

how many revolutions will a circular wheel make to travel a distance of 3 km , given that the radius is 2.4 m ?

1physics

if 4 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity , the tank is then filled to 9 / 10 of its capacity . how many gallons does the tank hold ?

0general

a drink vendor has 50 liters of maaza , 144 liters of pepsi and 368 liters of sprite . he wants to pack them in cans , so that each can contains the same number of liters of a drink , and does n ' t want to mix any two drinks in a can . what is the least number of cans required ?

0general

express a speed of 36 kmph in meters per second ?

1physics

lily shop runs a sale on goldfish and platys . if one customer buys 13 goldfish and 12 platys for $ 5.60 , and another buys 14 goldfish and 21 platys for $ 8.05 , what is the ratio of the price of goldfish to platys ?

5other

a woman invested $ 1,000 , part at 5 % and the rest at 6 % . her total investment with interest at the end of the year was $ 1,051 . how much did she invest at 5 % ?

2gain

in a class , 9 students like to play basketball and 8 like to play cricket . 6 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ?

5other

in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 7000 , the number of valid votes that the other candidate got , was :

2gain

if daily wages of a man is double to that of a woman , how many men should work for 10 days to earn rs . 14400 ? given that wages for 40 women for 30 days are rs . 21600 .

1physics

two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every third , starting with the third , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ?

5other

the rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started . if after a minute and a half the gyroscope reached a speed of 1600 meters per second , what was the speed , in meters per second , when the stopwatch was started ?

1physics

last year manfred received 26 paychecks . each of his first 6 paychecks was $ 750 ; each of his remaining paychecks was $ 40 more than each of his first 6 paychecks . to the nearest dollar , what was the average ( arithmetic mean ) amount of his pay checks for the year ?

0general

if two different solutions of alcohol with a respective proportion of water to alcohol of 3 : 1 and 2 : 3 were combined , what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts ?

0general

if the sum of 3 consecutive even numbers is 44 more than the average of these numbers , then the largest of these numbers is ?

0general

a man swims downstream 72 km and upstream 45 km taking 9 hours each time ; what is the speed of the current ?

1physics

solution y is 30 percent liquid x and 70 percent water . if 4 kilograms of water evaporate from 8 kilograms of solution y and 4 kilograms of solution y are added to the remaining 6 kilograms of liquid , what percent of this new solution is liquid x ?

2gain

a grocer has a sale of rs . 6435 , rs . 6927 , 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 . 6600 ?

0general

a can run 3 kms in 3 min 18 sec and b can run same distance in 3 min 40 sec , then by how much distance a can beat b ?

1physics

22 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be :

1physics

two cyclists are moving towards each other at 10 miles / hour . they are now 50 miles apart . at this instance a fly starts from one cyclist and move towards other and moves to and fro till the two cyclist meet each other . if the fly is moving at 15 miles / hour , what is the total distance covered by the fly ?

1physics

students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio s of men to women ?

0general

the maximum numbers of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is

0general

when a train travels at a speed of 100 kmph , it reaches the destination on time . when the same train travels at a speed of 50 kmph , it reaches its destination 15 min late . what is the length of journey ?

1physics

a circle graph shows how the megatech corporation allocates its research and development budget : 10 % microphotonics ; 24 % home electronics ; 15 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?

2gain

a train running at the speed of 60 km / hr crosses a pole in 3 sec . what is the length of the train ?

1physics

if the compound interest on a certain sum of money for 3 years at 10 % per annum be rs . 993 , what would be the simple interest ?

2gain

what least number must be subtracted from 427398 so that remaining no . is divisible by 13

0general

if k is the greatest positive integer such that 3 ^ k is a divisor of 24 ! then k =

0general

the present worth of a certain bill due sometime hence is rs . 800 and the true discount is rs . 36 . the banker ’ s discount is

2gain

an old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 81 times the difference between the two numbers . how many coins did the old man have ?

0general

how much is it cost $ 0.50 each tire for 8 tires ?

0general

it takes avery 4 hours to build a brick wall while tom can do it in 2 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?

1physics

two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 4 seconds . the length of the faster train is

1physics

set x consists of 15 integers and has median of 20 and a range of 20 . what is the value of the greatest possible integer that can be present in the set ?

0general

if x / 2 years ago roger was 18 years old and x / 2 years from now he will be 4 x years old , how old will he be 5 x years from now ?

0general

a small college reduced its faculty by approximately 23 percent to 195 professors . what was the original number of faculty members ?

2gain

a bakery has 6 employees . it pays annual salaries of $ 15,000 to each of 2 employees , $ 17,000 to 1 employee , and $ 18,000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ?

0general

the current birth rate per certain number of people is 32 , whereas corresponding death rate is 11 per same number of people . if the net growth rate in terms of population increase is 2.1 percent , find number of persons . ( initally )

2gain

if a lends rs . 4000 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is ?

2gain

if x is less than y by 35 % then y exceed x by :

0general

two numbers are in the ratio of 3 : 8 . if 24 be subtracted from each , they are in the ratio of 4 : 9 . find the numbers ?

5other

if 3 tic equals 6 tacs and 2 tacs equal 7 tocs , what is the ratio of one tic to one toc ?

5other

in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 60 % of the total ?

0general

the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.3 kg . the weight of the new student is

0general

a train 225 m long passes a man , running at 10 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is :

1physics

how many positive integers less than 100 are neither multiples of 4 or 5 .

0general

the area of a square is equal to five times the area of a rectangle of dimensions 27 cm * 16 cm . what is the perimeter of the square ?

3geometry

the present ratio of students to teachers at a certain school is 30 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ?

5other

a train is 360 meter long is running at a speed of 60 km / hour . in what time will it pass a bridge of 140 meter length ?

1physics

a reduction of 40 % in the price of bananas would enable a man to obtain 64 more for rs . 40 . what is the reduced price / dozen ?

0general

a certain company has records stored with a record storage firm in 15 - inch by 12 - inch by 10 - inch boxes . the boxes occupy 1.08 million cubic inches of space . if the company pays $ 0.4 per box per month for the record storage , what is the total amount that the company pays each month for record storage ?

0general

excluding stoppages , the speed of a bus is 48 kmph and including stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ?

1physics

in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 60 people were made to stand in a column , how many columns could be formed ?

5other