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

Problem stringlengths 5 967	category class label 6 classes
the amount of an investment will double in approximately 70 / p years , where p is the percent interest , compounded annually . if thelma invests $ 50,000 in a long - term cd that pays 5 percent interest , compounded annually , what will be the approximate total value of the investment when thelma is ready to retire 42 years later ?	0general
a man buys an article for $ 110 . and sells it for $ 125 . find the gain percent ?	2gain
the slant height of a cone is 10 cm and radius of the base is 5 cm , find the curved surface of the cone ?	3geometry
excluding stoppages , the speed of a train is 54 kmph and including stoppages it is 36 kmph . of how many minutes does the train stop per hour ?	1physics
a rectangular region has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 200 square feet , what is the total length of the fence , in feet ?	3geometry
if x ¤ y = ( x + y ) ^ 2 - ( x - y ) ^ 2 . then √ 3 ¤ √ 3 =	0general
a palindrome is a number that reads the same forward and backward , such as 124 . how many odd , 4 - digit numbers are palindromes ?	0general
hillary and eddy are climbing to the summit of mt . everest from a base camp 5,000 ft from the summit . when they depart for the summit at 06 : 00 , hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr . if hillary stops 1000 ft short of the summit and then descends at a rate of 1,000 ft / hr , at what time do hillary and eddy pass each other on her return trip ?	0general
a car drives 60 miles on local roads at 20 mph , and 120 miles on the highway at 60 mph , what is the average speed of the entire trip ?	1physics
how many kg of pure salt must be added to 100 kg of 10 % solution of salt and water to increase it to a 20 % solution ?	0general
a train 200 m long passes a man , running at 6 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?	1physics
if a triangle in the xy - coordinate system has vertices at ( - 2 , - 3 ) , ( 4 , - 3 ) and ( 28 , 7 ) , what is the area of the triangle ?	3geometry
a man can row upstream at 20 kmph and downstream at 80 kmph , and then find the speed of the man in still water ?	1physics
in a tree , 1 / 5 of the birds are robins while the rest are bluejays . if 1 / 2 of the robins are female and 2 / 5 of the bluejays are female , what fraction of the birds in the tree are male ?	0general
salesperson a ' s compensation for any week is $ 360 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of b ' s total sales for that week . for what amount of total weekly sales would both salespeople earn the same compensation ?	0general
a crate measures 7 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ?	3geometry
in a fuel station the service costs $ 2.30 per vehicle and every liter of fuel costs $ 0.70 . assuming that you fill up 4 mini - vans and 2 trucks , what will be the total cost , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty ?	0general
evaluate : 6502.5 + 650.25 + 65.025 + 6.5025 + 0.65025	0general
what is the smallest positive integer k such that the product of 450 x k is a perfect square ?	0general
log 3 n + log 5 n what is 3 digit number n that will be whole number	5other
the perimeter of a rectangular yard is completely surrounded by a fence that measures 14 meters . what is the length of the yard if the area of the yard is 6 meters squared ?	3geometry
if a and b are positive integers , and a = 4 b + 16 , the greatest common divisor of a and b can not be	0general
find large number from below question the difference of two numbers is 1375 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder	0general
3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 6 pumps work to empty the tank in 1 day ?	1physics
at a garage sale , all of the items were sold at different prices . if the price of a radio sold at the garage sale was both the 18 th highest price and the 25 th lowest price among the prices of the items sold , how many items were sold at the garage sale ?	5other
tom , working alone , can paint a room in 6 hours . peter and john , working independently , can paint the same room in 3 hours and 3 hours , respectively . tom starts painting the room and works on his own for one hour . he is then joined by peter and they work together for an hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ?	1physics
if x ^ 2 + 1 / x ^ 2 = 3 , what is the value of x ^ 4 + 1 / x ^ 4 ?	0general
find the value of 3.5 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ]	0general
a and b can do a piece of work in 3 days . with the help of c they finish the work in 2 days . c alone can do that piece of work in ?	1physics
dacid obtained 91 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?	0general
harkamal purchased 8 kg of grapes at the rate of 80 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?	2gain
the average of 9 observations was 4 , that of the 1 st of 5 being 10 and that of the last 5 being 8 . what was the 5 th observation ?	0general
60 percent of movie theatres in town x have 1 screens or less . 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing . 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing . what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day ?	0general
a man can row his boat with the stream at 26 km / h and against the stream in 12 km / h . the man ' s rate is ?	2gain
in n is a positive integer less than 200 , and 10 n / 60 is an integer , then n has how many different positive prime factors ?	0general
a retailer bought a machine at a wholesale price of $ 117 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price of the machine ?	2gain
what sum of money put at c . i amounts in 2 years to rs . 8000 and in 3 years to rs . 9261 ?	0general
carol spends 1 / 4 of her savings on a stereo and 1 / 6 less than she spent on the stereo for a television . what fraction of her savings did she spend on the stereo and television ?	0general
if x and y are both odd prime numbers and x < y , how many distinct positive integer t factors does 2 xy have ?	5other
how many kg of pure salt must be added to 30 kg of 2 % solution of salt and water to increase it to 10 % solution ?	0general
lionel left his house and walked towards walt ' s house , 48 miles away . two hours later , walt left his house and ran towards lionel ' s house . if lionel ' s speed was 3 miles per hour and walt ' s 3 miles per hour , how many miles had lionel walked when he met walt ?	1physics
calculate the value of y : 5 y ^ 2 - 8 y + 55 = 59	0general
the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 85 , and the average of the female students ’ grades was 92 , how many female students took the test ?	0general
a pipe can fill a cistern in 55 minutes . find the time in which 1 / 11 part of the cistern will be filled ?	1physics
if the perimeter of a rectangular garden is 600 m , its length when its breadth is 95 m is ?	1physics
two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 72 sec . the length of each train is ?	0general
6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days d do they need to finish the same job ?	1physics
what is the ratio between perimeters of two squares one having 11 times the diagonal then the other ?	3geometry
a student has to obtain 40 % of the total marks to pass . he got 150 marks and failed by 50 marks . the maximum marks are ?	0general
david has $ 1,800 at the beginning of his trip , after spending money , he still has exactly $ 800 less than he spent on the trip . how much money does john still have ?	0general
what number is 75 more than three - fourth of itself ?	0general
kamal was 4 times as old as his son 8 years ago . after 8 years , kamal will be twice as old as his son . find out the present age of kamal .	0general
80 % of a number is added to 120 , the result is the same number . find the number ?	2gain
find the least number of complete years in which a sum of money put out at 13 % compound interest will be more than double of itself ?	0general
kiran has 85 currency notes in all , some of which were of rs . 100 denomination and the remaining of rs . 50 denomination . the total amount of all these currency notes was rs . 5000 . how much amount did she have in the denomination of rs . 50 ? a . b . c . none of these d . answer : option b explanation :	0general
a man sells a car to his friend at 12 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :	2gain
the breath of a rectangle is three - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 2025 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the length is 10 units ?	3geometry
there are 3 workers in the factory a , b , c . the age of a is 4 more than the age of b and the age of b is 4 more than the age of c . if the sum of the square of the ages is 1202 . what is the sum of their ages ?	0general
if 12 men can reap 120 acres of land in 36 days , how many acres of land can 54 men reap in 54 days ?	1physics
how many cubes of 4 cm edge can be cut out of a cube of 28 cm edge	4probability
the area of a square is equal to four times the area of a rectangle of dimensions 52 cm * 13 cm . what is the perimeter of the square ?	3geometry
a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 1100 more than d , what is b ' s share ?	0general
find the sum lend at c . i . at 5 p . c per annum will amount to rs . 500 in 2 years ?	0general
two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 20 seconds . find the length of the faster train ?	1physics
x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 4 will be equal to :	0general
the sum of all solutions for x in the equation x ^ 2 – 4 x + 14 = \| x – 4 \| + 8 is equal to :	0general
r is the set of positive odd integers less than 50 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?	1physics
in a sports club with 27 members , 17 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ?	5other
a & b can separately do a piece of work in 20 & 15 days . they worked together for 6 days , after which b was replaced by c . the work was finished in next 5 days . the no . of days in which c alone could do the work is	1physics
a string of 13 light bulbs is wired in such a way that if any individual light bulb fails , the entire string fails . if for each individual light bulb the probability of failing during time period t is 0.02 , what is the probability that the string of light bulbs will fail during the time period t ?	4probability
145 liters of a mixture of milk and water contains in the ratio 3 : 2 . how much water should now be added so that the ratio of milk and water becomes 3 : 4 ?	0general
edward ' s home have 3 taps , one tap , working alone at its maximum constant rate , can fill a certain sink in 270 seconds . a second tap working alone at its maximum constant rate , can fill a certain sink in 274 seconds . a third tap , working alone at its maximum constant rate , can fill the same sink in 276 seconds . if all taps work together at their respective maximum constant rates , the time it will take to fill the sink is closest to	1physics
the overall age of x and y is 12 year greater than the overall age of y and z . z is how many decades younger that x ?	0general
the compound ratio of 1 : 3 , 1 : 2 and 1 : 5 ?	5other
what is rate of interest if principal . amount be 400 , simple interest 140 and time 2 year .	2gain
the population of a village is 12000 . it increases annually at the rate of 24 % p . a . what will be its population after 2 years ?	2gain
a school has received 40 % of the amount it needs for a new building by receiving a donation of $ 400 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
an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 40 meters . how many times did the ball bounce ?	0general
a trader sold an item at a loss of 35 % . if he had increased the price by $ 80 he would have made a gain of 5 % . what is the cost price of the item ?	2gain
a and b can do a piece of work in 10 days , b and c in 15 days , c and a in 12 days . how long will c take to do it ?	1physics
a certain telephone company company charges 3.10 cents for the first 1 / 5 of a minute plus 0.40 cents for each additional 1 / 5 of a minute . what would this company charge for a talk time of 8 minutes long ?	0general
a certain number of men complete a piece of work in 60 days . if there were 8 men more , the work could be finished in 10 days less . how many men were originally there ?	1physics
how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 7.5 m x 6 m x 22.5 cm ?	1physics
if the function q is defined by the formula q = 5 w / ( 4 vf ( z ^ 2 ) ) , by what factor will q be multiplied if w is quadrupled , f is doubled , and z is tripled ?	0general
what is the remainder when 43 ^ 91 is divided by 5 ?	0general
if a and b are integers and ( a * b ) ^ 5 = 64 y , y could be :	0general
5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 90 only . men ’ s wages are ?	0general
each factor of 200 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 40 ?	5other
a certain bag contains 100 balls — 50 white , 30 green , 10 yellow , 7 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?	5other
if ( n + 2 ) ! = 2550 ( n ! ) ; find ’ n ’	0general
find the remainder when 32 ^ 33 ^ 34 is divided by 11	0general
a heap of coconuts is divided into groups of 2 , 3 and 11 and each time one coconut is left over . the least number of coconuts in the heap is ? a . 31 b . 41 c . 51 d . 61	0general
along a yard 441 metres long , 22 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees	1physics
calculate the area of a triangle , if the sides are 30 cm , 21 cm and 10 cm , what is its area ?	3geometry
the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 32 ft long . what is the distance traveled by the cart , when the front wheel has done 5 more revolutions than the rear wheel ?	1physics
two pipes a and b can fill a cistern in 12 and 15 minutes respectively . both are opened together but after 4 minutes a is turned off . after how much more time will the cistern be filled ?	1physics
find the annual income derived by investing $ 6800 in 50 % stock at 136 .	2gain
a boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 15 minutes . then the speed of the current is :	1physics
a motorcyclist x drives along a circular fence at a rate of 2 rounds per hour and another motor cyclist y at a rate of 4 rounds per hour . after how long they will cross each other for the first time ?	2gain
a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 30 % lemonade syrup ?	2gain

the amount of an investment will double in approximately 70 / p years , where p is the percent interest , compounded annually . if thelma invests $ 50,000 in a long - term cd that pays 5 percent interest , compounded annually , what will be the approximate total value of the investment when thelma is ready to retire 42 years later ?

0general

a man buys an article for $ 110 . and sells it for $ 125 . find the gain percent ?

2gain

the slant height of a cone is 10 cm and radius of the base is 5 cm , find the curved surface of the cone ?

3geometry

excluding stoppages , the speed of a train is 54 kmph and including stoppages it is 36 kmph . of how many minutes does the train stop per hour ?

1physics

a rectangular region has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 200 square feet , what is the total length of the fence , in feet ?

3geometry

if x ¤ y = ( x + y ) ^ 2 - ( x - y ) ^ 2 . then √ 3 ¤ √ 3 =

0general

a palindrome is a number that reads the same forward and backward , such as 124 . how many odd , 4 - digit numbers are palindromes ?

0general

hillary and eddy are climbing to the summit of mt . everest from a base camp 5,000 ft from the summit . when they depart for the summit at 06 : 00 , hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr . if hillary stops 1000 ft short of the summit and then descends at a rate of 1,000 ft / hr , at what time do hillary and eddy pass each other on her return trip ?

0general

a car drives 60 miles on local roads at 20 mph , and 120 miles on the highway at 60 mph , what is the average speed of the entire trip ?

1physics

how many kg of pure salt must be added to 100 kg of 10 % solution of salt and water to increase it to a 20 % solution ?

0general

a train 200 m long passes a man , running at 6 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?

1physics

if a triangle in the xy - coordinate system has vertices at ( - 2 , - 3 ) , ( 4 , - 3 ) and ( 28 , 7 ) , what is the area of the triangle ?

3geometry

a man can row upstream at 20 kmph and downstream at 80 kmph , and then find the speed of the man in still water ?

1physics

in a tree , 1 / 5 of the birds are robins while the rest are bluejays . if 1 / 2 of the robins are female and 2 / 5 of the bluejays are female , what fraction of the birds in the tree are male ?

0general

salesperson a ' s compensation for any week is $ 360 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of b ' s total sales for that week . for what amount of total weekly sales would both salespeople earn the same compensation ?

0general

a crate measures 7 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ?

3geometry

in a fuel station the service costs $ 2.30 per vehicle and every liter of fuel costs $ 0.70 . assuming that you fill up 4 mini - vans and 2 trucks , what will be the total cost , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty ?

0general

evaluate : 6502.5 + 650.25 + 65.025 + 6.5025 + 0.65025

0general

what is the smallest positive integer k such that the product of 450 x k is a perfect square ?

0general

log 3 n + log 5 n what is 3 digit number n that will be whole number

5other

the perimeter of a rectangular yard is completely surrounded by a fence that measures 14 meters . what is the length of the yard if the area of the yard is 6 meters squared ?

3geometry

if a and b are positive integers , and a = 4 b + 16 , the greatest common divisor of a and b can not be

0general

find large number from below question the difference of two numbers is 1375 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder

0general

3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 6 pumps work to empty the tank in 1 day ?

1physics

at a garage sale , all of the items were sold at different prices . if the price of a radio sold at the garage sale was both the 18 th highest price and the 25 th lowest price among the prices of the items sold , how many items were sold at the garage sale ?

5other

tom , working alone , can paint a room in 6 hours . peter and john , working independently , can paint the same room in 3 hours and 3 hours , respectively . tom starts painting the room and works on his own for one hour . he is then joined by peter and they work together for an hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ?

1physics

if x ^ 2 + 1 / x ^ 2 = 3 , what is the value of x ^ 4 + 1 / x ^ 4 ?

0general

find the value of 3.5 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ]

0general

a and b can do a piece of work in 3 days . with the help of c they finish the work in 2 days . c alone can do that piece of work in ?

1physics

dacid obtained 91 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?

0general

harkamal purchased 8 kg of grapes at the rate of 80 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?

2gain

the average of 9 observations was 4 , that of the 1 st of 5 being 10 and that of the last 5 being 8 . what was the 5 th observation ?

0general

60 percent of movie theatres in town x have 1 screens or less . 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing . 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing . what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day ?

0general

a man can row his boat with the stream at 26 km / h and against the stream in 12 km / h . the man ' s rate is ?

2gain

in n is a positive integer less than 200 , and 10 n / 60 is an integer , then n has how many different positive prime factors ?

0general

a retailer bought a machine at a wholesale price of $ 117 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price of the machine ?

2gain

what sum of money put at c . i amounts in 2 years to rs . 8000 and in 3 years to rs . 9261 ?

0general

carol spends 1 / 4 of her savings on a stereo and 1 / 6 less than she spent on the stereo for a television . what fraction of her savings did she spend on the stereo and television ?

0general

if x and y are both odd prime numbers and x < y , how many distinct positive integer t factors does 2 xy have ?

5other

how many kg of pure salt must be added to 30 kg of 2 % solution of salt and water to increase it to 10 % solution ?

0general

lionel left his house and walked towards walt ' s house , 48 miles away . two hours later , walt left his house and ran towards lionel ' s house . if lionel ' s speed was 3 miles per hour and walt ' s 3 miles per hour , how many miles had lionel walked when he met walt ?

1physics

calculate the value of y : 5 y ^ 2 - 8 y + 55 = 59

0general

the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 85 , and the average of the female students ’ grades was 92 , how many female students took the test ?

0general

a pipe can fill a cistern in 55 minutes . find the time in which 1 / 11 part of the cistern will be filled ?

1physics

if the perimeter of a rectangular garden is 600 m , its length when its breadth is 95 m is ?

1physics

two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 72 sec . the length of each train is ?

0general

6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days d do they need to finish the same job ?

1physics

what is the ratio between perimeters of two squares one having 11 times the diagonal then the other ?

3geometry

a student has to obtain 40 % of the total marks to pass . he got 150 marks and failed by 50 marks . the maximum marks are ?

0general

david has $ 1,800 at the beginning of his trip , after spending money , he still has exactly $ 800 less than he spent on the trip . how much money does john still have ?

0general

what number is 75 more than three - fourth of itself ?

0general

kamal was 4 times as old as his son 8 years ago . after 8 years , kamal will be twice as old as his son . find out the present age of kamal .

0general

80 % of a number is added to 120 , the result is the same number . find the number ?

2gain

find the least number of complete years in which a sum of money put out at 13 % compound interest will be more than double of itself ?

0general

kiran has 85 currency notes in all , some of which were of rs . 100 denomination and the remaining of rs . 50 denomination . the total amount of all these currency notes was rs . 5000 . how much amount did she have in the denomination of rs . 50 ? a . b . c . none of these d . answer : option b explanation :

0general

a man sells a car to his friend at 12 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :

2gain

the breath of a rectangle is three - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 2025 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the length is 10 units ?

3geometry

there are 3 workers in the factory a , b , c . the age of a is 4 more than the age of b and the age of b is 4 more than the age of c . if the sum of the square of the ages is 1202 . what is the sum of their ages ?

0general

if 12 men can reap 120 acres of land in 36 days , how many acres of land can 54 men reap in 54 days ?

1physics

how many cubes of 4 cm edge can be cut out of a cube of 28 cm edge

4probability

the area of a square is equal to four times the area of a rectangle of dimensions 52 cm * 13 cm . what is the perimeter of the square ?

3geometry

a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 1100 more than d , what is b ' s share ?

0general

find the sum lend at c . i . at 5 p . c per annum will amount to rs . 500 in 2 years ?

0general

two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 20 seconds . find the length of the faster train ?

1physics

x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 4 will be equal to :

0general

the sum of all solutions for x in the equation x ^ 2 – 4 x + 14 = | x – 4 | + 8 is equal to :

0general

r is the set of positive odd integers less than 50 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?

1physics

in a sports club with 27 members , 17 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ?

5other

a & b can separately do a piece of work in 20 & 15 days . they worked together for 6 days , after which b was replaced by c . the work was finished in next 5 days . the no . of days in which c alone could do the work is

1physics

a string of 13 light bulbs is wired in such a way that if any individual light bulb fails , the entire string fails . if for each individual light bulb the probability of failing during time period t is 0.02 , what is the probability that the string of light bulbs will fail during the time period t ?

4probability

145 liters of a mixture of milk and water contains in the ratio 3 : 2 . how much water should now be added so that the ratio of milk and water becomes 3 : 4 ?

0general

edward ' s home have 3 taps , one tap , working alone at its maximum constant rate , can fill a certain sink in 270 seconds . a second tap working alone at its maximum constant rate , can fill a certain sink in 274 seconds . a third tap , working alone at its maximum constant rate , can fill the same sink in 276 seconds . if all taps work together at their respective maximum constant rates , the time it will take to fill the sink is closest to

1physics

the overall age of x and y is 12 year greater than the overall age of y and z . z is how many decades younger that x ?

0general

the compound ratio of 1 : 3 , 1 : 2 and 1 : 5 ?

5other

what is rate of interest if principal . amount be 400 , simple interest 140 and time 2 year .

2gain

the population of a village is 12000 . it increases annually at the rate of 24 % p . a . what will be its population after 2 years ?

2gain

a school has received 40 % of the amount it needs for a new building by receiving a donation of $ 400 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

an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 40 meters . how many times did the ball bounce ?

0general

a trader sold an item at a loss of 35 % . if he had increased the price by $ 80 he would have made a gain of 5 % . what is the cost price of the item ?

2gain

a and b can do a piece of work in 10 days , b and c in 15 days , c and a in 12 days . how long will c take to do it ?

1physics

a certain telephone company company charges 3.10 cents for the first 1 / 5 of a minute plus 0.40 cents for each additional 1 / 5 of a minute . what would this company charge for a talk time of 8 minutes long ?

0general

a certain number of men complete a piece of work in 60 days . if there were 8 men more , the work could be finished in 10 days less . how many men were originally there ?

1physics

how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 7.5 m x 6 m x 22.5 cm ?

1physics

if the function q is defined by the formula q = 5 w / ( 4 vf ( z ^ 2 ) ) , by what factor will q be multiplied if w is quadrupled , f is doubled , and z is tripled ?

0general

what is the remainder when 43 ^ 91 is divided by 5 ?

0general

if a and b are integers and ( a * b ) ^ 5 = 64 y , y could be :

0general

5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 90 only . men ’ s wages are ?

0general

each factor of 200 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 40 ?

5other

a certain bag contains 100 balls — 50 white , 30 green , 10 yellow , 7 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?

5other

if ( n + 2 ) ! = 2550 ( n ! ) ; find ’ n ’

0general

find the remainder when 32 ^ 33 ^ 34 is divided by 11

0general

a heap of coconuts is divided into groups of 2 , 3 and 11 and each time one coconut is left over . the least number of coconuts in the heap is ? a . 31 b . 41 c . 51 d . 61

0general

along a yard 441 metres long , 22 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees

1physics

calculate the area of a triangle , if the sides are 30 cm , 21 cm and 10 cm , what is its area ?

3geometry

the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 32 ft long . what is the distance traveled by the cart , when the front wheel has done 5 more revolutions than the rear wheel ?

1physics

two pipes a and b can fill a cistern in 12 and 15 minutes respectively . both are opened together but after 4 minutes a is turned off . after how much more time will the cistern be filled ?

1physics

find the annual income derived by investing $ 6800 in 50 % stock at 136 .

2gain

a boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 15 minutes . then the speed of the current is :

1physics

a motorcyclist x drives along a circular fence at a rate of 2 rounds per hour and another motor cyclist y at a rate of 4 rounds per hour . after how long they will cross each other for the first time ?

2gain

a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 30 % lemonade syrup ?

2gain