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

Problem stringlengths 5 967	category class label 6 classes
a and b together can do a work in 5 days . if a alone can do it in 15 days . in how many days can b alone do it ?	1physics
if a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exectly twice in 3 consecutive flips ?	0general
the length of the bridge , which a train 110 metres long and travelling at 45 km / hr can cross in 30 seconds , is :	1physics
one hour after yolanda started walking from x to y , a distance of 40 miles , bob started walking along the same road from y to x . if yolanda â s walking rate was 2 miles per hour and bob â s was 4 miles per hour , how many miles had bob walked when they met ?	1physics
23 , 29 , 31 , 37 , 41 , 43 , 47 , 53 , ( . . . )	0general
what is the rate percent when the simple interest on rs . 800 amount to rs . 160 in 4 years ?	2gain
a and b can do a piece of work in 4 2 / 3 days and 5 days respectively . they work together for 1 days and then a leaves . in how many days after that b will complete the work alone .	1physics
a semicircle is drawn with ab as its diameter . from c , a point on ab , a line perpendicular to ab is drawn , meeting the circumference of the semicircle at d . given that ac = 2 cm and cd = 6 cm , the area of the semicircle in square cm will be ?	3geometry
two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 24 hours and 8 hours respectively . the ratio of their speeds is	1physics
length of a rectangular plot is 20 mtr more than its breadth . if the cost of fencin gthe plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?	1physics
a train is running at a speed of 40 km / hr and it crosses a post in 17.1 seconds . what is the length of the train ?	1physics
of the 160 people at a party , 70 were women , and 50 women tried the appetizer . if 50 people did not try the appetizer , what is the total number of men who tried the appetizer ?	0general
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 20 sec . what is the length of the platform ?	1physics
a box measuring 49 inches long by 42 inches wide by 14 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?	3geometry
the height of cylinder is 14 cm and its diameter is 10 cm . the volume of the cylinder is :	3geometry
if 20 liters of chemical x are added to 80 liters of a mixture that is 20 % chemical x and 80 % chemical y , then what percentage of the resulting mixture is chemical x ?	0general
working together , jose and jane can complete an assigned task in 20 days . however , if jose worked alone and completed half the work and then jane takes over and completes the second half , the task will be completed in 45 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose .	1physics
a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 3 of 10 candidates eligible to fill 3 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 4 candidates are there to fill the 4 positions ?	5other
the volume of a cube is 343 cc . find its surface .	3geometry
a boeing 757 flies a direct route from dallas , tx , to phoenix , az and then returns to dallas , tx . the flight is 900 miles one way . it took 2 hrs and 15 minutes for the flight to phoenix and 2 hrs for the flight back to dallas . what was the speed of the wind in mph ?	1physics
tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 5 meters and a circumference of 4 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?	1physics
he total marks obtained by a student in physics , chemistry and mathematics is 180 more than the marks obtained by him in physics . what is the average mark obtained by him in chemistry and mathematics ?	0general
rahim bought 27 books for rs . 581 from one shop and 20 books for rs . 594 from another . what is the average price he paid per book ?	0general
a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 24000 . a ' s share is ?	2gain
the ratio of flour to water to sugar in a recipe is 10 : 6 : 3 . the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar . if the new recipe calls for 2 cups of water , how much sugar is required ?	5other
an artist wishes to paint a circular region on a square poster that is 4 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ?	3geometry
the smallest number which when diminished by 4 , is divisible by 12 , 16 , 18 , 21 and 28 is	0general
two numbers are in the ratio 3 : 5 . if 9 is subtracted from each , the new numbers are in the ratio 12 : 23 . the smaller number is :	5other
two cars , car 1 and car 2 move towards each other from q and y respectively with respective speeds of 20 m / s and 15 m / s . after meeting each other car 1 reaches y in 10 seconds . in how many seconds does car 2 reach q starting from y ?	1physics
in a division sum , the remainder is 8 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder . the dividend is :	0general
the area of a sector of a circle of radius 5 cm formed by an arc of length 4.5 cm is ?	1physics
if x = - 5 and y = 8 , what is the value of 2 ( x - y ) ^ 2 - xy ?	0general
let f ( x ) = x ^ 2 + bx + c . if f ( 1 ) = 0 and f ( - 6 ) = 0 , then f ( x ) crosses the y - axis at what y - coordinate ?	0general
kim has 7 pairs of shoes ; each pair is a different color . if kim randomly selects 2 shoes without replacement from the 14 shoes , what is the probability that she will select 2 shoes of the same color ?	4probability
find the distance covered by a man walking for 36 min at a speed of 10 km / hr ?	1physics
a can finish a piece of work in 5 days . b can do it in 10 days . they work together for 1 day and then a goes away . in how many days will b finish the work ?	1physics
in an xy - coordinate plane , a line is defined by y = kx + 1 . if ( 4 , b ) , ( a , 5 ) , and ( a , b + 1 ) are 3 points on the line , where a and b are unknown , then k = ?	0general
david has $ 1,500 at the beginning of his trip , after spending money , he still has exactly $ 500 less than he spent on the trip . how much money does john still have ?	0general
a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 18 more than the correct answer . find the number .	0general
jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 5 to 3 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?	5other
in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 5 percent , but profits were 10 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?	2gain
a house wife saved $ 3.50 in buying an item on sale . if she spent $ 32.50 for the item , approximately how much percent she saved in the transaction ?	0general
a garrison of 1000 men has provisions for 60 days . at the end of 15 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?	1physics
on an order of 99 dozen boxes of a consumer product , a retailer receives an extra dozen free . this is equivalent to allowing him a discount of :	0general
if a - b = 3 and a ^ 2 + b ^ 2 = 35 , find the value of ab .	0general
on the independence day , bananas were be equally distributed among the children in a school so that each child would get two bananas . on the particular day 320 children were absent and as a result each child got two extra bananas . find the actual number of children in the school ?	0general
45 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?	1physics
one hour before john started walking from p to q , a distance of 38 miles , ann had started walking along the same road from q to p . ann walked at a constant speed of 3 miles per hour and john at 2 miles per hour . how many miles had ann walked when they met ?	1physics
simplify 586645 * 9999	0general
the true discount on a bill due 9 months hence at 16 % per annum is rs . 189 . the amount of the bill is :	2gain
if the price of petrol increases by 30 , by how much must a user cut down his consumption so that his expenditure on petrol remains constant ?	0general
pipe a that can fill a tank in two hour and pipe b that can fill the tank in an hour are opened simultaneously when the tank is empty . pipe b is shut 30 minutes before the tank overflows . when will the tank overflow ?	1physics
two family reunions are happening at the taj hotel , the oates reunion and the hall reunion . all 150 guests at the hotel attend at least one of the reunions . if 70 people attend the oates reunion and 52 people attend the hall reunion , how many people attend both reunions ?	5other
you buy a piece of land with an area of â ˆ š 1024 , how long is one side of the land plot ?	3geometry
divide rs . 720 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ?	0general
the least common multiple of positive integer e and 3 - digit integer n is 690 . if n is not divisible by 3 and e is not divisible by 2 , what is the value of n ?	0general
half a number plus 5 is 15 . what is the number ?	0general
a car takes 6 hours to cover a distance of 630 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?	1physics
population of a city in 20004 was 1100000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007	2gain
a man walking at a rate of 15 km / hr crosses a bridge in 15 minutes . the length of the bridge is ?	2gain
a room 4 m 47 cm long and 7 m 77 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor .	1physics
the cost price of an book is 64 % of the marked price . calculate the gain percent after allowing a discount of 13 % ?	2gain
the two lines y = x and x = - 4 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length r of a cube whose surface area is equal to 6 z ?	0general
a candidate got 25 % of the votes polled and he lost to his rival by 4000 votes . how many votes were cast ?	2gain
8 , 24 , 12 , 36 , 18 , 54 , ( . . . . )	0general
39 ! is divided by 41 . then what is the remainder for this ?	5other
the ratio 5 : 20 expressed as percent equals to	0general
a sum of money becomes 7 / 6 of itself in 2 years at a certain rate of simple interest . the rate per annum is ?	2gain
a train travels 325 km in 3.5 hours and 470 km in 4 hours . find the average speed of train ?	1physics
a bucket full of nuts was discovered by the crow living in the basement . the crow eats a sixth of the total number of nuts in 8 hours . how many hours in total will it take the crow to finish a quarter of the nuts ?	0general
speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph . a man rows to a place at a distance of 7560 km and comes back to the starting point . the total time taken by him is :	1physics
jennifer had $ 150 to spend on herself . she spent 1 / 5 of the money on a sandwich , 1 / 6 for a ticket to a museum , and 1 / 2 of it on a book . how much money does jennifer have left over ?	0general
excluding the stoppages , the speed of a bus is 32 km / hr and including the stoppages the speed of the bus is 16 km / hr . for how many minutes does the bus stop per hour ?	1physics
what is the sum of all the multiples of 10 between 0 and 75 ?	0general
the sum of the non - prime numbers between 10 and 20 , non - inclusive , is	0general
the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 2210 . the perimeter of the plot is ?	3geometry
the sides of a rectangle are in the ratio of 6 : 5 and its area is 1331 sq . m . find the perimeter of rectangle .	3geometry
the ratio of the volumes of two cubes is 729 : 1331 . what is the ratio of their total surface areas ?	3geometry
at what rate percent on simple interest will rs . 1750 amount to rs . 2000 in 4 years ?	2gain
roy is now 8 years older than julia and half of that amount older than kelly . if in 2 years , roy will be three times as old as julia , then in 2 years what would be roy ’ s age multiplied by kelly ’ s age ?	0general
having scored 95 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ?	0general
if a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet , what is the length of each of the shorter sides ?	3geometry
in a village of 2,700 people , 900 people are over 70 years old and 1200 people are female . it is known that 40 percent of the females are younger than 70 years old . if no one in the village is 70 years old , what is the probability that a person chosen at random is either a male or younger than 70 years old ?	2gain
the marks obtained by vijay and amith are in the ratio 4 : 4 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ?	5other
5 x + y = 19 , and x + 3 y = 1 . find the value of 3 x + 2 y	0general
a number is increased by 50 % and then decreased by 50 % . find the net increase or decrease per cent .	0general
the unit digit in the product ( 115 * 297 * 196 * 108 ) is :	0general
if 0.75 : x : : 5 : 8 , then x is equal to :	0general
the effective annual rate of interest corresponding to a nominal rate of 6 % per annum payable half - yearly is :	2gain
a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 1200 , what is the reduced price for kg ?	2gain
if 50 % of ( x - y ) = 20 % of ( x + y ) then what percent of x is y ?	0general
ashwin rented a power tool from a rental shop . the rent for the tool was $ 25 for the first hour and $ 10 for each additional hour . if ashwin paid a total of $ 125 , excluding sales tax , to rent the tool , for how many hours did she rent it ?	0general
b as a percentage of a is equal to a as a percentage of ( a + b ) . find b as a percentage of a .	0general
on the independence day , bananas were be equally distributed among the children in a school so that each child would get two bananas . on the particular day 390 children were absent and as a result each child got two extra bananas . find the actual number of children in the school ?	0general
if 20 men can build a wall 112 metres long in 6 days , what length of a similar wall can be built by 40 men in 3 days ?	1physics
a certain junior class has 1,000 students and a certain senior class has 400 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 at will be a sibling pair ?	4probability
a train running at the speed of 180 km / hr crosses a pole in 8 seconds . find the length of the train .	1physics
in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds b in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ?	0general
a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs . 600 , find the original price per kg ?	2gain
what is the remainder when 3 ^ 381 is divided by 5 ?	0general

a and b together can do a work in 5 days . if a alone can do it in 15 days . in how many days can b alone do it ?

1physics

if a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exectly twice in 3 consecutive flips ?

0general

the length of the bridge , which a train 110 metres long and travelling at 45 km / hr can cross in 30 seconds , is :

1physics

one hour after yolanda started walking from x to y , a distance of 40 miles , bob started walking along the same road from y to x . if yolanda â s walking rate was 2 miles per hour and bob â s was 4 miles per hour , how many miles had bob walked when they met ?

1physics

23 , 29 , 31 , 37 , 41 , 43 , 47 , 53 , ( . . . )

0general

what is the rate percent when the simple interest on rs . 800 amount to rs . 160 in 4 years ?

2gain

a and b can do a piece of work in 4 2 / 3 days and 5 days respectively . they work together for 1 days and then a leaves . in how many days after that b will complete the work alone .

1physics

a semicircle is drawn with ab as its diameter . from c , a point on ab , a line perpendicular to ab is drawn , meeting the circumference of the semicircle at d . given that ac = 2 cm and cd = 6 cm , the area of the semicircle in square cm will be ?

3geometry

two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 24 hours and 8 hours respectively . the ratio of their speeds is

1physics

length of a rectangular plot is 20 mtr more than its breadth . if the cost of fencin gthe plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?

1physics

a train is running at a speed of 40 km / hr and it crosses a post in 17.1 seconds . what is the length of the train ?

1physics

of the 160 people at a party , 70 were women , and 50 women tried the appetizer . if 50 people did not try the appetizer , what is the total number of men who tried the appetizer ?

0general

a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 20 sec . what is the length of the platform ?

1physics

a box measuring 49 inches long by 42 inches wide by 14 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?

3geometry

the height of cylinder is 14 cm and its diameter is 10 cm . the volume of the cylinder is :

3geometry

if 20 liters of chemical x are added to 80 liters of a mixture that is 20 % chemical x and 80 % chemical y , then what percentage of the resulting mixture is chemical x ?

0general

working together , jose and jane can complete an assigned task in 20 days . however , if jose worked alone and completed half the work and then jane takes over and completes the second half , the task will be completed in 45 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose .

1physics

a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 3 of 10 candidates eligible to fill 3 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 4 candidates are there to fill the 4 positions ?

5other

the volume of a cube is 343 cc . find its surface .

3geometry

a boeing 757 flies a direct route from dallas , tx , to phoenix , az and then returns to dallas , tx . the flight is 900 miles one way . it took 2 hrs and 15 minutes for the flight to phoenix and 2 hrs for the flight back to dallas . what was the speed of the wind in mph ?

1physics

tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 5 meters and a circumference of 4 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?

1physics

he total marks obtained by a student in physics , chemistry and mathematics is 180 more than the marks obtained by him in physics . what is the average mark obtained by him in chemistry and mathematics ?

0general

rahim bought 27 books for rs . 581 from one shop and 20 books for rs . 594 from another . what is the average price he paid per book ?

0general

a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 24000 . a ' s share is ?

2gain

the ratio of flour to water to sugar in a recipe is 10 : 6 : 3 . the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar . if the new recipe calls for 2 cups of water , how much sugar is required ?

5other

an artist wishes to paint a circular region on a square poster that is 4 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ?

3geometry

the smallest number which when diminished by 4 , is divisible by 12 , 16 , 18 , 21 and 28 is

0general

two numbers are in the ratio 3 : 5 . if 9 is subtracted from each , the new numbers are in the ratio 12 : 23 . the smaller number is :

5other

two cars , car 1 and car 2 move towards each other from q and y respectively with respective speeds of 20 m / s and 15 m / s . after meeting each other car 1 reaches y in 10 seconds . in how many seconds does car 2 reach q starting from y ?

1physics

in a division sum , the remainder is 8 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder . the dividend is :

0general

the area of a sector of a circle of radius 5 cm formed by an arc of length 4.5 cm is ?

1physics

if x = - 5 and y = 8 , what is the value of 2 ( x - y ) ^ 2 - xy ?

0general

let f ( x ) = x ^ 2 + bx + c . if f ( 1 ) = 0 and f ( - 6 ) = 0 , then f ( x ) crosses the y - axis at what y - coordinate ?

0general

kim has 7 pairs of shoes ; each pair is a different color . if kim randomly selects 2 shoes without replacement from the 14 shoes , what is the probability that she will select 2 shoes of the same color ?

4probability

find the distance covered by a man walking for 36 min at a speed of 10 km / hr ?

1physics

a can finish a piece of work in 5 days . b can do it in 10 days . they work together for 1 day and then a goes away . in how many days will b finish the work ?

1physics

in an xy - coordinate plane , a line is defined by y = kx + 1 . if ( 4 , b ) , ( a , 5 ) , and ( a , b + 1 ) are 3 points on the line , where a and b are unknown , then k = ?

0general

david has $ 1,500 at the beginning of his trip , after spending money , he still has exactly $ 500 less than he spent on the trip . how much money does john still have ?

0general

a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 18 more than the correct answer . find the number .

0general

jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 5 to 3 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?

5other

in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 5 percent , but profits were 10 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?

2gain

a house wife saved $ 3.50 in buying an item on sale . if she spent $ 32.50 for the item , approximately how much percent she saved in the transaction ?

0general

a garrison of 1000 men has provisions for 60 days . at the end of 15 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?

1physics

on an order of 99 dozen boxes of a consumer product , a retailer receives an extra dozen free . this is equivalent to allowing him a discount of :

0general

if a - b = 3 and a ^ 2 + b ^ 2 = 35 , find the value of ab .

0general

on the independence day , bananas were be equally distributed among the children in a school so that each child would get two bananas . on the particular day 320 children were absent and as a result each child got two extra bananas . find the actual number of children in the school ?

0general

45 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?

1physics

one hour before john started walking from p to q , a distance of 38 miles , ann had started walking along the same road from q to p . ann walked at a constant speed of 3 miles per hour and john at 2 miles per hour . how many miles had ann walked when they met ?

1physics

simplify 586645 * 9999

0general

the true discount on a bill due 9 months hence at 16 % per annum is rs . 189 . the amount of the bill is :

2gain

if the price of petrol increases by 30 , by how much must a user cut down his consumption so that his expenditure on petrol remains constant ?

0general

pipe a that can fill a tank in two hour and pipe b that can fill the tank in an hour are opened simultaneously when the tank is empty . pipe b is shut 30 minutes before the tank overflows . when will the tank overflow ?

1physics

two family reunions are happening at the taj hotel , the oates reunion and the hall reunion . all 150 guests at the hotel attend at least one of the reunions . if 70 people attend the oates reunion and 52 people attend the hall reunion , how many people attend both reunions ?

5other

you buy a piece of land with an area of â ˆ š 1024 , how long is one side of the land plot ?

3geometry

divide rs . 720 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ?

0general

the least common multiple of positive integer e and 3 - digit integer n is 690 . if n is not divisible by 3 and e is not divisible by 2 , what is the value of n ?

0general

half a number plus 5 is 15 . what is the number ?

0general

a car takes 6 hours to cover a distance of 630 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?

1physics

population of a city in 20004 was 1100000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007

2gain

a man walking at a rate of 15 km / hr crosses a bridge in 15 minutes . the length of the bridge is ?

2gain

a room 4 m 47 cm long and 7 m 77 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor .

1physics

the cost price of an book is 64 % of the marked price . calculate the gain percent after allowing a discount of 13 % ?

2gain

the two lines y = x and x = - 4 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length r of a cube whose surface area is equal to 6 z ?

0general

a candidate got 25 % of the votes polled and he lost to his rival by 4000 votes . how many votes were cast ?

2gain

8 , 24 , 12 , 36 , 18 , 54 , ( . . . . )

0general

39 ! is divided by 41 . then what is the remainder for this ?

5other

the ratio 5 : 20 expressed as percent equals to

0general

a sum of money becomes 7 / 6 of itself in 2 years at a certain rate of simple interest . the rate per annum is ?

2gain

a train travels 325 km in 3.5 hours and 470 km in 4 hours . find the average speed of train ?

1physics

a bucket full of nuts was discovered by the crow living in the basement . the crow eats a sixth of the total number of nuts in 8 hours . how many hours in total will it take the crow to finish a quarter of the nuts ?

0general

speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph . a man rows to a place at a distance of 7560 km and comes back to the starting point . the total time taken by him is :

1physics

jennifer had $ 150 to spend on herself . she spent 1 / 5 of the money on a sandwich , 1 / 6 for a ticket to a museum , and 1 / 2 of it on a book . how much money does jennifer have left over ?

0general

excluding the stoppages , the speed of a bus is 32 km / hr and including the stoppages the speed of the bus is 16 km / hr . for how many minutes does the bus stop per hour ?

1physics

what is the sum of all the multiples of 10 between 0 and 75 ?

0general

the sum of the non - prime numbers between 10 and 20 , non - inclusive , is

0general

the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 2210 . the perimeter of the plot is ?

3geometry

the sides of a rectangle are in the ratio of 6 : 5 and its area is 1331 sq . m . find the perimeter of rectangle .

3geometry

the ratio of the volumes of two cubes is 729 : 1331 . what is the ratio of their total surface areas ?

3geometry

at what rate percent on simple interest will rs . 1750 amount to rs . 2000 in 4 years ?

2gain

roy is now 8 years older than julia and half of that amount older than kelly . if in 2 years , roy will be three times as old as julia , then in 2 years what would be roy ’ s age multiplied by kelly ’ s age ?

0general

having scored 95 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ?

0general

if a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet , what is the length of each of the shorter sides ?

3geometry

in a village of 2,700 people , 900 people are over 70 years old and 1200 people are female . it is known that 40 percent of the females are younger than 70 years old . if no one in the village is 70 years old , what is the probability that a person chosen at random is either a male or younger than 70 years old ?

2gain

the marks obtained by vijay and amith are in the ratio 4 : 4 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ?

5other

5 x + y = 19 , and x + 3 y = 1 . find the value of 3 x + 2 y

0general

a number is increased by 50 % and then decreased by 50 % . find the net increase or decrease per cent .

0general

the unit digit in the product ( 115 * 297 * 196 * 108 ) is :

0general

if 0.75 : x : : 5 : 8 , then x is equal to :

0general

the effective annual rate of interest corresponding to a nominal rate of 6 % per annum payable half - yearly is :

2gain

a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 1200 , what is the reduced price for kg ?

2gain

if 50 % of ( x - y ) = 20 % of ( x + y ) then what percent of x is y ?

0general

ashwin rented a power tool from a rental shop . the rent for the tool was $ 25 for the first hour and $ 10 for each additional hour . if ashwin paid a total of $ 125 , excluding sales tax , to rent the tool , for how many hours did she rent it ?

0general

b as a percentage of a is equal to a as a percentage of ( a + b ) . find b as a percentage of a .

0general

on the independence day , bananas were be equally distributed among the children in a school so that each child would get two bananas . on the particular day 390 children were absent and as a result each child got two extra bananas . find the actual number of children in the school ?

0general

if 20 men can build a wall 112 metres long in 6 days , what length of a similar wall can be built by 40 men in 3 days ?

1physics

a certain junior class has 1,000 students and a certain senior class has 400 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 at will be a sibling pair ?

4probability

a train running at the speed of 180 km / hr crosses a pole in 8 seconds . find the length of the train .

1physics

in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds b in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ?

0general

a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs . 600 , find the original price per kg ?

2gain

what is the remainder when 3 ^ 381 is divided by 5 ?

0general