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

Problem stringlengths 5 967	category class label 6 classes
of 70 players on a football team , 34 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
if the digits 31 in the decimal 0.00031 repeat indefinitely , what is the value of ( 10 ^ 5 - 10 ^ 3 ) ( 0.00031 ) ?	0general
the perimeter of a triangle is 48 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ?	3geometry
a jar full of whisky contains 40 % alcohol . a part of this whisky is replaced by another containg 19 % alcohol and now the percentage of alcohol was found to be 24 % . what quantity of whisky is replaced ?	2gain
if the sum of two numbers is 30 and the sum of their squares is 840 , then the product of the numbers is	0general
pavan travelled for 11 hours . he covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph . find the distance travelled by pavan .	1physics
if 6 x ^ 2 + x - 12 = ( ax + b ) ( cx + d ) , then \| a \| + \| b \| + \| c \| + \| d \|	0general
the speed of a boat in still water in 20 km / hr and the rate of current is 4 km / hr . the distance travelled downstream in 24 minutes is :	1physics
a bag contains 3 red , 5 yellow and 7 green balls . 3 balls are drawn randomly . what is the probability that the balls drawn contain balls of different colours ?	4probability
two cars are driving toward each other . the first car is traveling at a speed of 100 km / h , which is 25 % faster than the second car ' s speed . if the distance between the cars is 720 km , how many hours will it take until the two cars meet ?	1physics
a tiger is chasing its prey at a constant speed . it entire body passes a blade of grass in 1 second . it then runs above a fallen tree trunk that is 20 meters long in 5 seconds . what is the length of the tiger ?	1physics
a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 25 % . their gross income from sales for one month increases by what percent ?	2gain
5 / 8 th of a job is completed in 10 days . if a person works at the same pace , how many days will he take to complete the job ?	1physics
find the number of different prime factors of 12800	5other
the sum of two numbers is 30 and their difference is 10 . find their product .	0general
difference of two numbers is 1660 . if 7.5 % of the number is 12.5 % of the other number , find the number ?	2gain
a car is running at a speed of 120 kmph . what distance will it cover in 12 sec ?	1physics
jack and christina are standing 360 feet apart on a level surface . their dog , lindy , is standing next to christina . at the same time , they all begin moving toward each other . jack walks in a straight line toward christina at a constant speed of 5 feet per second and christina walks in a straight line toward jack at a constant speed of 7 feet per second . lindy runs at a constant speed of 12 feet per second from christina to jack , back to christina , back to jack , and so forth . what is the total distance , in feet , that lindy has traveled when the three meet at one place ?	1physics
rs . 6000 is lent out in two parts . one part is lent at 6 % p . a simple interest and the other is lent at 10 % p . a simple interest . the total interest at the end of one year was rs . 450 . find the ratio of the amounts lent at the lower rate and higher rate of interest ?	2gain
average age of students of an adult school is 52 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .	0general
the h . c . f and l . c . m of two numbers are 11 and 385 respectively . if one number lies between 75 and 125 , then that number is	1physics
a train running at the speed of 54 km / hr crosses a pole in 9 seconds . find the length of the train ?	1physics
simplify 3 / 4 of 6 0 – 8 / 5 of 60 + ? = 12	0general
a certain junior class has 1000 students and a certain senior class has 800 students . among these students , there are 60 siblings pairs each consisting of 1 junior and 1 senior . if 1 student is to be selected at random from each class , what is the probability that the 2 students selected will be a sibling pair ?	4probability
what is the average ( arithmetic mean ) of all the multiples of 10 from 10 to 160 inclusive ?	0general
michael earns $ 7.00 per hour for the first 40 hours he works per week , and twice this rate for overtime . if michael earned $ 320 last week , how many hours did he work ?	1physics
if rs . 7500 are borrowed at c . i at the rate of 4 % per annum , then after 2 years the amount to be paid is ?	2gain
steve traveled the first 2 hours of his journey at 50 mph and the remaining 3 hours of his journey at 80 mph . what is his average speed for the entire journey ?	1physics
pat , kate , and mark charged a total of 153 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark , how many more hours did mark charge to the project than kate ?	0general
if d = 1 / ( 2 ^ 3 * 5 ^ 8 ) is expressed as a terminating decimal , how many nonzero digits will d have ?	0general
the arithmetic mean of 5 negative integers is - 100 . if the average of 3 of these integers is - 90 , what is the least possible value that one of the other 2 integers can have ?	0general
rs . 3150 is divided so that 5 times the first share , thrice the 2 nd share and six times the third share amount to the same . what is the value of the third share ?	0general
maxwell leaves his home and walks toward brad ' s house . one hour later , brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 94 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the total time it takes maxwell before he meets up with brad ?	1physics
excluding stoppages , the speed of a train is 48 kmph and including stoppages it is 40 kmph . of how many minutes does the train stop per hour ?	1physics
if a child walks at the rate of 5 m / min from his home , he is 6 minutes late for school , if he walks at the rate of 7 m / min he reaches half an hour earlier . how far is his school from his home ?	1physics
evaluate : \| 9 - 8 ( 3 - 12 ) \| - \| 5 - 11 \| = ?	0general
in town x , 64 percent of the population are employed , and 50 percent of the population are employed males . what percent of the employed people in town x are females ?	2gain
a train passes a station platform in 35 sec and a man standing on the platform in 20 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?	1physics
the cash difference between the selling prices of an book at a profit of 5 % and 10 % is $ 3 . the ratio of the two selling prices is :	2gain
what is the greatest prime factor of 3 ^ 6 - 1 ?	0general
village p ’ s population is 1200 greater than village q ' s population . if village q ’ s population were reduced by 800 people , then village p ’ s population would be 6 times as large as village q ' s population . what is village q ' s current population ?	0general
a person buys an article at rs . 800 . at what price should he sell the article so as to make a profit of 35 % ?	2gain
how many liters of water must be added to 18 liters of milk and water containing 10 % water to make it 40 % water ?	2gain
dacid obtained 96 , 95 , 82 , 97 and 95 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?	0general
the number 0.5 is how much greater than 1 / 6 ?	0general
there are 22 students in a class . in how many different ways can a committee of 3 students be formed ?	4probability
a 70 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?	1physics
the slant height of a cone is 20 cm and radius of the base is 10 cm , find the curved surface of the cone .	3geometry
evaluate : 6602.5 + 660.25 + 66.025 + 6.6025 + 0.66025	0general
the least number which when divided by 3 , 4 , 5 and 6 leaves a remainder 6 , but when divided by 9 leaves no remainder , is	0general
the temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 ( 2 ^ - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 20 minutes after it was poured was how many degrees fahrenheit ?	0general
the ratio 10 : 20 expressed as percent equals to	0general
the speed of a train is 120 kmph . what is the distance covered by it in 40 minutes ?	1physics
a right triangle aec has to be constructed in the xy - plane so that the right angle is at a and ae is parallel to x axis . the coordinates of a , e and c are integers and satisfy the inequalities - 1 ≤ x ≤ 7 and 1 ≤ y ≤ 7 . how many different triangles can be constructed with these properties ?	3geometry
if a ^ 2 + b ^ 2 = 25 and ab = 10 , what is the value of the expression ( a - b ) ^ 2 + ( a + b ) ^ 2 ?	0general
if 25 typists can type 60 letters in 20 minutes , then how many letters will 75 typists working at the same rate complete in 1 hour ?	1physics
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 10 % on the labeled price . what is the actual percent profit earned in the deal ?	2gain
a person can row at 9 kmph and still water . he takes 6 1 / 2 hours to row from a to b and back . what is the distance between a and b if the speed of the stream is 1 kmph ?	1physics
in the junior basketball league there are 18 teams , 2 / 3 of them are bad and ½ are rich . what ca n ' t be the number of teams that are rich and bad	0general
the sum of the present age of henry and jill is 43 . what is their present ages if 5 years ago henry was twice the age of jill ?	0general
a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 84 percent of the distribution lies within one standard deviation d of the mean , what percent of the distribution is less than m + d ?	0general
the compound ratio of 5 : 8 , 3 : 2 and 4 : 5 ?	5other
by selling 14 pencils for a rupee a man loses 22 % . how many for a rupee should he sell in order to gain 22 % ?	2gain
i travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours . how long did the first part of my journey last	1physics
if 4 cats can kill 4 rats in 4 minutes , how long will it take 100 cats to kill 100 rats ?	1physics
how many seconds will a 500 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 75 km / hr ?	1physics
if the volume of the cube is 729 , then the surface area of the cube will be	3geometry
when the circumference and area of a circle are numerically equal , then the diameter is numerically equal to	3geometry
if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 49 and ( y - 1 ) ^ 2 is less than 64 , what is the sum of the maximum possible value of xy and the minimum possible value of xy ?	0general
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 7500 , the number of valid votes that the other candidate got , was	2gain
find the circumference and area of radius 6 cm .	3geometry
cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost r is what percent of the original cost ?	0general
the ratio of three numbers is 5 : 3 : 4 and their sum is 108 . the second number of the three numbers is ?	5other
there are two concentric circles with radii 5 and 4 . if the radius of the outer circle is increased by 20 % and the radius of the inner circle decreased by 50 % , by what percent does the area between the circles increase ?	2gain
a sum of money at simple interest amounts to rs . 815 in 2 years and to rs . 854 in 3 years . the sum is :	2gain
the ratio of the area of a square to that of the square drawn on its diagonal is ?	3geometry
a rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters . if the carpet squares cost $ 10 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?	3geometry
there are 6 positive and 8 negative numbers . 4 numbers are choosen at random and multiplied . the probability that the product is positive is :	0general
population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 35 % , then find the population of city atthe end of the year 2007	2gain
f ( x ) is a function such that f ( x ) + 3 f ( 8 - x ) = x for all real numbers x . find the value of f ( 2 ) .	0general
a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 105 , how many coins of each type are there ?	0general
john can complete a given task in 20 days . jane will take only 10 days to complete the same task . john and jane set out to complete the task by beginning to work together . however , jane was indisposed 5 days before the work got over . in how many days did the work get over from the time john and jane started to work on it together ?	1physics
a man sold 20 articles for $ 60 and gained 10 % . how many articles should he sell for $ 90 to incur a loss 20 % ?	2gain
list k consists of 10 consecutive integers . if - 4 is the least integer in list k , what is the range of the positive integers in list k ?	0general
in a school of 400 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?	2gain
a train 120 m in length crosses a telegraph post in 6 seconds . the speed of the train is ?	1physics
two boats are heading towards each other at constant speeds of 3 miles / hr and 21 miles / hr respectively . they begin at a distance 20 miles from each other . how far are they ( in miles ) one minute before they collide ?	1physics
two trains of equal lengths take 12 sec and 20 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?	1physics
a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 20 % . their gross income from sales for one month increases by what percent ?	2gain
a reduction of 48 % in the price of bananas would enable a man to obtain 64 more for rs . 40 , what is reduced price per dozen ?	2gain
what is the remainder when 1271 * 1275 * 1279 * 1285 is divided by 12 ?	0general
the s . i . on a certain sum of money for 3 years at 8 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ?	2gain
in plutarch enterprises , 70 % of the employees are marketers , 20 % are engineers , and the rest are managers . marketers make an average salary of $ 60,000 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
a person buys an article at rs . 460 . at what price should he sell the article so as to make a profit of 18 % ?	2gain
if an integer n is to be chosen at random from the integers 1 to 86 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ?	0general
a school has received 60 % of the amount it needs for a new building by receiving a donation of $ 600 each from people already solicited . people already solicited represent 40 % of the people from whom the school will solicit donations . how much average contribution is requited from the remaining targeted people to complete the fund raising exercise ?	0general
the “ length of integer x ” refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 × 2 × 3 × 5 . ) what is the greatest possible length of integer z if z < 1,000 ?	0general
in a group of 6 boys and 4 girls are to be selected . in how many different ways can they be selected such that at least one boy should be there ?	5other
the youngest of 4 children has siblings who are 1 , 4 , and 7 years older than she is . if the average ( arithmetic mean ) age of the 4 siblings is 17 , what is the age of the youngest sibling ?	0general
a , b , c weighted separately 1 st like a , b , c , then a & b , then b & c , then c & a at last a & b & c , the last weight was 167 , then what will be the average weight of the 7 reading ?	0general

of 70 players on a football team , 34 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

if the digits 31 in the decimal 0.00031 repeat indefinitely , what is the value of ( 10 ^ 5 - 10 ^ 3 ) ( 0.00031 ) ?

0general

the perimeter of a triangle is 48 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ?

3geometry

a jar full of whisky contains 40 % alcohol . a part of this whisky is replaced by another containg 19 % alcohol and now the percentage of alcohol was found to be 24 % . what quantity of whisky is replaced ?

2gain

if the sum of two numbers is 30 and the sum of their squares is 840 , then the product of the numbers is

0general

pavan travelled for 11 hours . he covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph . find the distance travelled by pavan .

1physics

if 6 x ^ 2 + x - 12 = ( ax + b ) ( cx + d ) , then | a | + | b | + | c | + | d |

0general

the speed of a boat in still water in 20 km / hr and the rate of current is 4 km / hr . the distance travelled downstream in 24 minutes is :

1physics

a bag contains 3 red , 5 yellow and 7 green balls . 3 balls are drawn randomly . what is the probability that the balls drawn contain balls of different colours ?

4probability

two cars are driving toward each other . the first car is traveling at a speed of 100 km / h , which is 25 % faster than the second car ' s speed . if the distance between the cars is 720 km , how many hours will it take until the two cars meet ?

1physics

a tiger is chasing its prey at a constant speed . it entire body passes a blade of grass in 1 second . it then runs above a fallen tree trunk that is 20 meters long in 5 seconds . what is the length of the tiger ?

1physics

a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 25 % . their gross income from sales for one month increases by what percent ?

2gain

5 / 8 th of a job is completed in 10 days . if a person works at the same pace , how many days will he take to complete the job ?

1physics

find the number of different prime factors of 12800

5other

the sum of two numbers is 30 and their difference is 10 . find their product .

0general

difference of two numbers is 1660 . if 7.5 % of the number is 12.5 % of the other number , find the number ?

2gain

a car is running at a speed of 120 kmph . what distance will it cover in 12 sec ?

1physics

jack and christina are standing 360 feet apart on a level surface . their dog , lindy , is standing next to christina . at the same time , they all begin moving toward each other . jack walks in a straight line toward christina at a constant speed of 5 feet per second and christina walks in a straight line toward jack at a constant speed of 7 feet per second . lindy runs at a constant speed of 12 feet per second from christina to jack , back to christina , back to jack , and so forth . what is the total distance , in feet , that lindy has traveled when the three meet at one place ?

1physics

rs . 6000 is lent out in two parts . one part is lent at 6 % p . a simple interest and the other is lent at 10 % p . a simple interest . the total interest at the end of one year was rs . 450 . find the ratio of the amounts lent at the lower rate and higher rate of interest ?

2gain

average age of students of an adult school is 52 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .

0general

the h . c . f and l . c . m of two numbers are 11 and 385 respectively . if one number lies between 75 and 125 , then that number is

1physics

a train running at the speed of 54 km / hr crosses a pole in 9 seconds . find the length of the train ?

1physics

simplify 3 / 4 of 6 0 – 8 / 5 of 60 + ? = 12

0general

a certain junior class has 1000 students and a certain senior class has 800 students . among these students , there are 60 siblings pairs each consisting of 1 junior and 1 senior . if 1 student is to be selected at random from each class , what is the probability that the 2 students selected will be a sibling pair ?

4probability

what is the average ( arithmetic mean ) of all the multiples of 10 from 10 to 160 inclusive ?

0general

michael earns $ 7.00 per hour for the first 40 hours he works per week , and twice this rate for overtime . if michael earned $ 320 last week , how many hours did he work ?

1physics

if rs . 7500 are borrowed at c . i at the rate of 4 % per annum , then after 2 years the amount to be paid is ?

2gain

steve traveled the first 2 hours of his journey at 50 mph and the remaining 3 hours of his journey at 80 mph . what is his average speed for the entire journey ?

1physics

pat , kate , and mark charged a total of 153 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark , how many more hours did mark charge to the project than kate ?

0general

if d = 1 / ( 2 ^ 3 * 5 ^ 8 ) is expressed as a terminating decimal , how many nonzero digits will d have ?

0general

the arithmetic mean of 5 negative integers is - 100 . if the average of 3 of these integers is - 90 , what is the least possible value that one of the other 2 integers can have ?

0general

rs . 3150 is divided so that 5 times the first share , thrice the 2 nd share and six times the third share amount to the same . what is the value of the third share ?

0general

maxwell leaves his home and walks toward brad ' s house . one hour later , brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 94 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the total time it takes maxwell before he meets up with brad ?

1physics

excluding stoppages , the speed of a train is 48 kmph and including stoppages it is 40 kmph . of how many minutes does the train stop per hour ?

1physics

if a child walks at the rate of 5 m / min from his home , he is 6 minutes late for school , if he walks at the rate of 7 m / min he reaches half an hour earlier . how far is his school from his home ?

1physics

evaluate : | 9 - 8 ( 3 - 12 ) | - | 5 - 11 | = ?

0general

in town x , 64 percent of the population are employed , and 50 percent of the population are employed males . what percent of the employed people in town x are females ?

2gain

a train passes a station platform in 35 sec and a man standing on the platform in 20 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?

1physics

the cash difference between the selling prices of an book at a profit of 5 % and 10 % is $ 3 . the ratio of the two selling prices is :

2gain

what is the greatest prime factor of 3 ^ 6 - 1 ?

0general

village p ’ s population is 1200 greater than village q ' s population . if village q ’ s population were reduced by 800 people , then village p ’ s population would be 6 times as large as village q ' s population . what is village q ' s current population ?

0general

a person buys an article at rs . 800 . at what price should he sell the article so as to make a profit of 35 % ?

2gain

how many liters of water must be added to 18 liters of milk and water containing 10 % water to make it 40 % water ?

2gain

dacid obtained 96 , 95 , 82 , 97 and 95 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?

0general

the number 0.5 is how much greater than 1 / 6 ?

0general

there are 22 students in a class . in how many different ways can a committee of 3 students be formed ?

4probability

a 70 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?

1physics

the slant height of a cone is 20 cm and radius of the base is 10 cm , find the curved surface of the cone .

3geometry

evaluate : 6602.5 + 660.25 + 66.025 + 6.6025 + 0.66025

0general

the least number which when divided by 3 , 4 , 5 and 6 leaves a remainder 6 , but when divided by 9 leaves no remainder , is

0general

the temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 ( 2 ^ - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 20 minutes after it was poured was how many degrees fahrenheit ?

0general

the ratio 10 : 20 expressed as percent equals to

0general

the speed of a train is 120 kmph . what is the distance covered by it in 40 minutes ?

1physics

a right triangle aec has to be constructed in the xy - plane so that the right angle is at a and ae is parallel to x axis . the coordinates of a , e and c are integers and satisfy the inequalities - 1 ≤ x ≤ 7 and 1 ≤ y ≤ 7 . how many different triangles can be constructed with these properties ?

3geometry

if a ^ 2 + b ^ 2 = 25 and ab = 10 , what is the value of the expression ( a - b ) ^ 2 + ( a + b ) ^ 2 ?

0general

if 25 typists can type 60 letters in 20 minutes , then how many letters will 75 typists working at the same rate complete in 1 hour ?

1physics

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 10 % on the labeled price . what is the actual percent profit earned in the deal ?

2gain

a person can row at 9 kmph and still water . he takes 6 1 / 2 hours to row from a to b and back . what is the distance between a and b if the speed of the stream is 1 kmph ?

1physics

in the junior basketball league there are 18 teams , 2 / 3 of them are bad and ½ are rich . what ca n ' t be the number of teams that are rich and bad

0general

the sum of the present age of henry and jill is 43 . what is their present ages if 5 years ago henry was twice the age of jill ?

0general

a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 84 percent of the distribution lies within one standard deviation d of the mean , what percent of the distribution is less than m + d ?

0general

the compound ratio of 5 : 8 , 3 : 2 and 4 : 5 ?

5other

by selling 14 pencils for a rupee a man loses 22 % . how many for a rupee should he sell in order to gain 22 % ?

2gain

i travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours . how long did the first part of my journey last

1physics

if 4 cats can kill 4 rats in 4 minutes , how long will it take 100 cats to kill 100 rats ?

1physics

how many seconds will a 500 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 75 km / hr ?

1physics

if the volume of the cube is 729 , then the surface area of the cube will be

3geometry

when the circumference and area of a circle are numerically equal , then the diameter is numerically equal to

3geometry

if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 49 and ( y - 1 ) ^ 2 is less than 64 , what is the sum of the maximum possible value of xy and the minimum possible value of xy ?

0general

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 7500 , the number of valid votes that the other candidate got , was

2gain

find the circumference and area of radius 6 cm .

3geometry

cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost r is what percent of the original cost ?

0general

the ratio of three numbers is 5 : 3 : 4 and their sum is 108 . the second number of the three numbers is ?

5other

there are two concentric circles with radii 5 and 4 . if the radius of the outer circle is increased by 20 % and the radius of the inner circle decreased by 50 % , by what percent does the area between the circles increase ?

2gain

a sum of money at simple interest amounts to rs . 815 in 2 years and to rs . 854 in 3 years . the sum is :

2gain

the ratio of the area of a square to that of the square drawn on its diagonal is ?

3geometry

a rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters . if the carpet squares cost $ 10 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?

3geometry

there are 6 positive and 8 negative numbers . 4 numbers are choosen at random and multiplied . the probability that the product is positive is :

0general

population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 35 % , then find the population of city atthe end of the year 2007

2gain

f ( x ) is a function such that f ( x ) + 3 f ( 8 - x ) = x for all real numbers x . find the value of f ( 2 ) .

0general

a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 105 , how many coins of each type are there ?

0general

john can complete a given task in 20 days . jane will take only 10 days to complete the same task . john and jane set out to complete the task by beginning to work together . however , jane was indisposed 5 days before the work got over . in how many days did the work get over from the time john and jane started to work on it together ?

1physics

a man sold 20 articles for $ 60 and gained 10 % . how many articles should he sell for $ 90 to incur a loss 20 % ?

2gain

list k consists of 10 consecutive integers . if - 4 is the least integer in list k , what is the range of the positive integers in list k ?

0general

in a school of 400 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?

2gain

a train 120 m in length crosses a telegraph post in 6 seconds . the speed of the train is ?

1physics

two boats are heading towards each other at constant speeds of 3 miles / hr and 21 miles / hr respectively . they begin at a distance 20 miles from each other . how far are they ( in miles ) one minute before they collide ?

1physics

two trains of equal lengths take 12 sec and 20 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?

1physics

a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 20 % . their gross income from sales for one month increases by what percent ?

2gain

a reduction of 48 % in the price of bananas would enable a man to obtain 64 more for rs . 40 , what is reduced price per dozen ?

2gain

what is the remainder when 1271 * 1275 * 1279 * 1285 is divided by 12 ?

0general

the s . i . on a certain sum of money for 3 years at 8 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ?

2gain

in plutarch enterprises , 70 % of the employees are marketers , 20 % are engineers , and the rest are managers . marketers make an average salary of $ 60,000 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

a person buys an article at rs . 460 . at what price should he sell the article so as to make a profit of 18 % ?

2gain

if an integer n is to be chosen at random from the integers 1 to 86 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ?

0general

a school has received 60 % of the amount it needs for a new building by receiving a donation of $ 600 each from people already solicited . people already solicited represent 40 % of the people from whom the school will solicit donations . how much average contribution is requited from the remaining targeted people to complete the fund raising exercise ?

0general

the “ length of integer x ” refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 × 2 × 3 × 5 . ) what is the greatest possible length of integer z if z < 1,000 ?

0general

in a group of 6 boys and 4 girls are to be selected . in how many different ways can they be selected such that at least one boy should be there ?

5other

the youngest of 4 children has siblings who are 1 , 4 , and 7 years older than she is . if the average ( arithmetic mean ) age of the 4 siblings is 17 , what is the age of the youngest sibling ?

0general

a , b , c weighted separately 1 st like a , b , c , then a & b , then b & c , then c & a at last a & b & c , the last weight was 167 , then what will be the average weight of the 7 reading ?

0general