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

Problem stringlengths 5 967	category class label 6 classes
sides of a triangle are 13 cm . 14 cm . and 15 cm . respectively . calculate the area of triangle .	3geometry
a test has 150 questions . each question has 5 options , but only 1 option is correct . if test - takers mark the correct option , they are awarded 1 point . however , if an answer is incorrectly marked , the test - taker loses 0.25 points . no points are awarded or deducted if a question is not attempted . a certain group of test - takers attempted different numbers of questions , but each test - taker still received the same net score of 40 . what is the maximum possible number of such test - takers ?	0general
the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 24 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ?	0general
in one hour , a boat goes 11 km along the steram and 5 km against the stream . the speed of the boat in still waer ( in km / hr ) is :	1physics
if n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2 ^ k is a factor of n ?	0general
a dog travelled for 2 hours . he covered the first half of the distance at 10 kmph and remaining half of the distance at 5 kmph . find the distance travelled by the dog ?	1physics
find the value of 72519 x 9999 = m ?	0general
3 , 15 , x , 51 , 53 , 159161 value of x ?	0general
a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 300 when the rate to profit rises from 5 to 7 percent . find the capital of a ?	0general
how many zeros does 100 ! end with ?	5other
how many two - digit numbers yield a remainder of 3 when divided by both 4 and 14 ?	0general
a squirrel can climb 5 metres of a pole in one minute but slips 2 metres in the next minute . how much time will the squirrel take to climb 26 metres ?	1physics
a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 2 . the ratio of economy cars to sport utility vehicles is 4 : 2 . what is the ratio of luxury cars to sport utility vehicles ?	5other
a cycle is bought for rs . 900 and sold for rs . 1100 , find the gain percent ?	2gain
two trains of length 120 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?	1physics
a man buys a cycle for rs . 1200 and sells it at a loss of 15 % . what is the selling price of the cycle ?	2gain
a wheel rotates 20 times every minute and moves 35 cm during each rotation . how many metres does the wheel move in one hour ?	1physics
a certain roller coaster has 2 cars , and a passenger is equally likely to ride in any 1 of the 2 cars each time that passenger rides the roller coaster . if a certain passenger is to ride the roller coaster 2 times , what is the probability that the passenger will ride in each of the 2 cars ?	0general
if a rectangular room measures 12 meters by 6 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters )	3geometry
a man invested rs . 4455 in rs . 10 shares quoted at rs . 8.25 . if the rate of dividend be 12 % , his annual income is :	2gain
in a forest 160 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?	0general
mike drives his new corvette from san francisco to las vegas , a journey of 640 miles . he drives the first half of the trip at an average rate of 80 miles per hour , but has to slow down for the second half of his journey . if the second half of the trip takes him 200 percent longer than the first half , what is his average rate w in miles per hour for the entire trip ?	1physics
the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 10 % . if in july , a mixture containing equal quantities of tea and coffee costs 50 / kg . how much did a kg of coffee cost in june ?	0general
1398 x 1398	0general
a man can swim in still water at 7.5 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ?	0general
two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 5 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ?	5other
in a express train passengers traveling in a . c . sleeper class , first class and sleeper class are in the ratio 1 : 2 : 3 , and fare to each class in the ratio 5 : 4 : 2 . if the income from this train is rs . 57000 , the income of a . c . sleeper class is	5other
how many positive factors do 150 and 90 have in common ?	5other
mona and sona go around a circular track of length 400 m on a bike at speeds of 18 kmph and 36 kmph . after how much time will they meet for the first time at the starting point ?	1physics
the rate of interest on a sum of money is 11 % p . a . for the first 3 years , 4 % p . a . for the next 4 years , and 5 % for the period beyond 7 years . if the s . i , occured on the sum for the total period of 8 years is rs . 540 / - , the sum is	0general
a cube of edge 10 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ?	3geometry
if the number 5 * 2 is divisible by 6 , then * = ?	0general
a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 12 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter of liquid a was contained by the can initially ?	5other
a bag marked at $ 200 is sold for $ 120 . the rate of discount is ?	2gain
the sale price of a trolley bag including the sale tax is rs . 1120 . the rate of sale tax is 12 % . if the shopkeeper has made a profit of 25 % , the cost price of the trolley bag is :	2gain
a train 125 m long passes a man , running at 10 km / hr in the same direction in which the train is going , in 10 sec . the speed of the train is ?	1physics
the distance between west - town to east - town is 14 kilometers . two birds start flying simultaneously towards one another , the first leaving from west - town at a speed of 5 kilometers per minute and the second bird , leaving from east - town , at a speed of 2 kilometers per minute . what will be the distance , in kilometers , between the meeting point and west - town ?	1physics
a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 220 square feet and its length is 12 feet longer than its width . if the uniform width between the rug and room is 12 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ?	3geometry
little john had $ 10.10 . he spent $ 3.25 on sweets and gave to his two friends $ 2.20 each . how much money was left ?	0general
evaluate : 37 x 181 + 37 x 319	0general
the size of a television screen is given as the length of the screen ' s diagonal . if the screens were flat , then the area of a square 22 - inch screen would be how many square inches greater than the area of a square 20 - inch screen ?	3geometry
how many positive integers less than 600 can be formed using the numbers 1 , 2 , 3 , 5 and 6 for the digits ?	4probability
if a and b are the roots of the equation x 2 - 5 x + 5 = 0 , then the value of a 2 + b 2 is :	0general
two cars a and b are running towards each other from different places 88 km apart . if the ratio of the speeds of the cars a and b is 5 : 6 and the speed of the car b is 90 km per hour then after how long will the two meet each other ?	1physics
find the angle between the hour hand and the minute hand of a clock when 3.25 .	1physics
a chocolate manufacturer produces 400 units of a certain model each month at a cost to the manufacturer of £ 40 per unit and all of the produced units are sold each month . what is the minimum selling price per unit that will ensure that the monthly profit ( revenue from sales minus production costs ) on the sales of these units will be at least £ 40000 ?	0general
1,000 ^ 2 + 1,001 ^ 2 + 1,002 ^ 2 + 1,003 ^ 2 + 1,004 ^ 2 + 1,005 ^ 2 + 1,006 ^ 2 =	0general
( 112 x 54 ) = ?	0general
the circumferences of two circles are 264 meters and 352 meters . find the difference between the areas of the larger and the smaller circles .	3geometry
find avrg speed if a man travels at speed of 15 km / hr up and 28 km / hr dawn at an altitude of 230 m .	1physics
an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 21168 / - in 3 years at the same rate of interest . find the rate percentage ?	0general
in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 25 , what is the greatest possible value of b x a ?	0general
a train 100 meters long completely crosses a 300 meters long bridge in 24 seconds . what is the speed of the train is ?	1physics
( 0.15 ) ( power 3 ) - ( 0.06 ) ( power 3 ) / ( 0.15 ) ( power 2 ) + 0.009 + ( 0.06 ) ( power 2 ) is :	0general
if the remainder is 8 when positive integer n is divided by 12 , what is the remainder when n is divided by 6 ?	0general
if 9 men do a work in 80 days , in how many days will 20 men do it ?	1physics
if a 6 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ?	3geometry
if 2994 ÷ 14.5 = 172 , then 29.94 ÷ 1.45 = ?	0general
what is the rate percent when the simple interest on rs . 2000 amount to rs . 500 in 2 years ?	2gain
a small pool filled only with water will require an additional 400 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 400 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ?	0general
a train 90 m long is running at 20 kmph . in how much time will it pass a platform 80 m long ?	1physics
x varies inversely as square of y . given that y = 2 for x = 1 . the value of x for y = 6 will be equal to :	0general
5 / 4 of all married couples have more than one child . 2 / 5 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ?	0general
in the first 10 overs of a cricket game , the run rate was only 4.6 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?	2gain
calculate the dividend from moses ' s stock , if he invested rs . 3000 at 72 to obtain an income of rs . 210 .	2gain
perimeter of the back wheel = 9 feet , front wheel = 7 feet on a certain distance , the front wheel gets 10 revolutions more than the back wheel . what is the distance ?	1physics
how many positive integers less than 9,000 are there in which the sum of the digits equals 5 ?	0general
a certain airline ' s fleet consisted of 110 type a planes at the beginning of 1980 . at the end of each year , starting with 1980 , the airline retired 3 of the type a planes and acquired 4 new type b plans . how many years did it take before the number of type a planes left in the airline ' s fleet was less than 50 percent of the fleet ?	2gain
how many positive integers less than 80 are multiples of 4 but not multiples of 6 ?	0general
two employees x and y are paid a total of rs . 550 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?	0general
set a contains all the even numbers between 32 and 80 inclusive . set b contains all the even numbers between 62 and 110 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ?	0general
company c produces toy trucks at a cost of $ 5.00 each for the first 100 trucks and $ 3.50 for each additional truck . if 500 toy trucks were produced by company c and sold for $ 9.00 each , what was company c ’ s gross profit ?	2gain
p and q invested in a business . the profit earned was divided in the ratio 3 : 5 . if p invested rs 12000 , the amount invested by q is	2gain
in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 300 more than the correct answer . find the number .	0general
seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue . if a mixture of x and y contains 30 percent ryegrass , what percent of the weight of this mixture is x ?	2gain
how many multiples of 2 are there between 1 and 50 , exclusive ?	0general
a library branch originally contained 18365 volumes , 30 % of which were fiction novels . 1 / 3 of the volumes were transferred to another location and 1 / 3 of the volumes transferred were fiction novels . what percent of the remaining collection was fiction novels ?	2gain
a person spent rs . 5,040 from his salary on food and 5,000 on house rent . after that he was left with 20 % of his monthly salary . what is his monthly salary ?	2gain
a computer factory produces 5376 computers per month at a constant rate , how many computers are built every 30 minutes assuming that there are 28 days in one month ?	1physics
if the radius of a circle is increased by 40 % then the area is increased by :	3geometry
if a cost college rs 0.70 a companyto produce a program for yhe home coming football game . if rs 15000 was received for addvertisement in the pgm , how many copies rs 0.50 a copy must be sold to make a profit of rs 8000	2gain
if a trader sold two cars each at rs . 325475 and gains 14 % on the first and loses 14 % on the second , then his profit or loss percent on the whole is ?	2gain
if the wheel is 28 cm then the number of revolutions to cover a distance of 1056 cm is ?	1physics
how much more would rs . 30000 fetch , after two years , if it is put at 20 % p . a . compound interest payable half yearly than if is put at 20 % p . a . compound interest payable yearly ?	2gain
a survey was sent to 70 customers , 7 of whom responded . then the survey was redesigned and sent to another 63 customers , 9 of whom responded . by approximately what percent did the response rate increase from the original survey to the redesigned survey ?	2gain
what number should replace the question mark ? 3 , 30 , 11 , 24 , 19 , 18 , - - - ?	0general
a factory producing tennis balls stores them in either big boxes , 25 balls per box , or small boxes , 20 balls per box . if 104 freshly manufactured balls are to be stored , what is the least number of balls that can be left unboxed ?	0general
how many seconds will a train 250 meters long take to cross a platform 200 meters long if the speed of the train is 90 kmph ?	1physics
if x / y = 7 / 3 , then ( x + y ) / ( x - y ) = ?	0general
working at their respective constant rates , machine a makes 100 copies in 10 minutes and machine b makes 150 copies in 15 minutes . if these machines work simultaneously at their respective rates for 30 minutes , what is the total number of copies that they will produce ?	1physics
the banker ' s gain on a sum due 3 years hence at 12 % per annum is rs . 360 . the banker ' s discount is :	2gain
calculate the sum of first 19 natural numbers .	0general
a is twice as good a workman as b and they took 5 days together to do the work b alone can do it in ?	1physics
carl is facing very difficult financial times and can only pay the interest on a $ 10,000 loan he has taken . the bank charges him a quarterly compound rate of 5 % . what is the approximate interest he pays annually ?	2gain
in measuring the sides of a rectangle , one side is taken 6 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements .	3geometry
in a division , divident is 689 , divisior is 36 and quotient is 19 . find the remainder .	0general
the product of two numbers is 120 and the sum of their squares is 289 . the sum of the number is	0general
a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 8 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ?	5other
what is the dividend . divisor 18 , the quotient is 9 and the remainder is 3	0general
the r train leaves station a moving at a constant speed , and passes by stations b and c , in this order . it takes the r train 7 hours to reach station b , and 5 additional hours to reach station c . the distance between stations a and b is m kilometers longer than the distance between stations b and c . what is the distance between stations a and c in terms of m ?	1physics

sides of a triangle are 13 cm . 14 cm . and 15 cm . respectively . calculate the area of triangle .

3geometry

a test has 150 questions . each question has 5 options , but only 1 option is correct . if test - takers mark the correct option , they are awarded 1 point . however , if an answer is incorrectly marked , the test - taker loses 0.25 points . no points are awarded or deducted if a question is not attempted . a certain group of test - takers attempted different numbers of questions , but each test - taker still received the same net score of 40 . what is the maximum possible number of such test - takers ?

0general

the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 24 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ?

0general

in one hour , a boat goes 11 km along the steram and 5 km against the stream . the speed of the boat in still waer ( in km / hr ) is :

1physics

if n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2 ^ k is a factor of n ?

0general

a dog travelled for 2 hours . he covered the first half of the distance at 10 kmph and remaining half of the distance at 5 kmph . find the distance travelled by the dog ?

1physics

find the value of 72519 x 9999 = m ?

0general

3 , 15 , x , 51 , 53 , 159161 value of x ?

0general

a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 300 when the rate to profit rises from 5 to 7 percent . find the capital of a ?

0general

how many zeros does 100 ! end with ?

5other

how many two - digit numbers yield a remainder of 3 when divided by both 4 and 14 ?

0general

a squirrel can climb 5 metres of a pole in one minute but slips 2 metres in the next minute . how much time will the squirrel take to climb 26 metres ?

1physics

a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 2 . the ratio of economy cars to sport utility vehicles is 4 : 2 . what is the ratio of luxury cars to sport utility vehicles ?

5other

a cycle is bought for rs . 900 and sold for rs . 1100 , find the gain percent ?

2gain

two trains of length 120 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?

1physics

a man buys a cycle for rs . 1200 and sells it at a loss of 15 % . what is the selling price of the cycle ?

2gain

a wheel rotates 20 times every minute and moves 35 cm during each rotation . how many metres does the wheel move in one hour ?

1physics

a certain roller coaster has 2 cars , and a passenger is equally likely to ride in any 1 of the 2 cars each time that passenger rides the roller coaster . if a certain passenger is to ride the roller coaster 2 times , what is the probability that the passenger will ride in each of the 2 cars ?

0general

if a rectangular room measures 12 meters by 6 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters )

3geometry

a man invested rs . 4455 in rs . 10 shares quoted at rs . 8.25 . if the rate of dividend be 12 % , his annual income is :

2gain

in a forest 160 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?

0general

mike drives his new corvette from san francisco to las vegas , a journey of 640 miles . he drives the first half of the trip at an average rate of 80 miles per hour , but has to slow down for the second half of his journey . if the second half of the trip takes him 200 percent longer than the first half , what is his average rate w in miles per hour for the entire trip ?

1physics

the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 10 % . if in july , a mixture containing equal quantities of tea and coffee costs 50 / kg . how much did a kg of coffee cost in june ?

0general

1398 x 1398

0general

a man can swim in still water at 7.5 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ?

0general

two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 5 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ?

5other

in a express train passengers traveling in a . c . sleeper class , first class and sleeper class are in the ratio 1 : 2 : 3 , and fare to each class in the ratio 5 : 4 : 2 . if the income from this train is rs . 57000 , the income of a . c . sleeper class is

5other

how many positive factors do 150 and 90 have in common ?

5other

mona and sona go around a circular track of length 400 m on a bike at speeds of 18 kmph and 36 kmph . after how much time will they meet for the first time at the starting point ?

1physics

the rate of interest on a sum of money is 11 % p . a . for the first 3 years , 4 % p . a . for the next 4 years , and 5 % for the period beyond 7 years . if the s . i , occured on the sum for the total period of 8 years is rs . 540 / - , the sum is

0general

a cube of edge 10 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ?

3geometry

if the number 5 * 2 is divisible by 6 , then * = ?

0general

a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 12 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter of liquid a was contained by the can initially ?

5other

a bag marked at $ 200 is sold for $ 120 . the rate of discount is ?

2gain

the sale price of a trolley bag including the sale tax is rs . 1120 . the rate of sale tax is 12 % . if the shopkeeper has made a profit of 25 % , the cost price of the trolley bag is :

2gain

a train 125 m long passes a man , running at 10 km / hr in the same direction in which the train is going , in 10 sec . the speed of the train is ?

1physics

the distance between west - town to east - town is 14 kilometers . two birds start flying simultaneously towards one another , the first leaving from west - town at a speed of 5 kilometers per minute and the second bird , leaving from east - town , at a speed of 2 kilometers per minute . what will be the distance , in kilometers , between the meeting point and west - town ?

1physics

a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 220 square feet and its length is 12 feet longer than its width . if the uniform width between the rug and room is 12 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ?

3geometry

little john had $ 10.10 . he spent $ 3.25 on sweets and gave to his two friends $ 2.20 each . how much money was left ?

0general

evaluate : 37 x 181 + 37 x 319

0general

the size of a television screen is given as the length of the screen ' s diagonal . if the screens were flat , then the area of a square 22 - inch screen would be how many square inches greater than the area of a square 20 - inch screen ?

3geometry

how many positive integers less than 600 can be formed using the numbers 1 , 2 , 3 , 5 and 6 for the digits ?

4probability

if a and b are the roots of the equation x 2 - 5 x + 5 = 0 , then the value of a 2 + b 2 is :

0general

two cars a and b are running towards each other from different places 88 km apart . if the ratio of the speeds of the cars a and b is 5 : 6 and the speed of the car b is 90 km per hour then after how long will the two meet each other ?

1physics

find the angle between the hour hand and the minute hand of a clock when 3.25 .

1physics

a chocolate manufacturer produces 400 units of a certain model each month at a cost to the manufacturer of £ 40 per unit and all of the produced units are sold each month . what is the minimum selling price per unit that will ensure that the monthly profit ( revenue from sales minus production costs ) on the sales of these units will be at least £ 40000 ?

0general

1,000 ^ 2 + 1,001 ^ 2 + 1,002 ^ 2 + 1,003 ^ 2 + 1,004 ^ 2 + 1,005 ^ 2 + 1,006 ^ 2 =

0general

( 112 x 54 ) = ?

0general

the circumferences of two circles are 264 meters and 352 meters . find the difference between the areas of the larger and the smaller circles .

3geometry

find avrg speed if a man travels at speed of 15 km / hr up and 28 km / hr dawn at an altitude of 230 m .

1physics

an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 21168 / - in 3 years at the same rate of interest . find the rate percentage ?

0general

in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 25 , what is the greatest possible value of b x a ?

0general

a train 100 meters long completely crosses a 300 meters long bridge in 24 seconds . what is the speed of the train is ?

1physics

( 0.15 ) ( power 3 ) - ( 0.06 ) ( power 3 ) / ( 0.15 ) ( power 2 ) + 0.009 + ( 0.06 ) ( power 2 ) is :

0general

if the remainder is 8 when positive integer n is divided by 12 , what is the remainder when n is divided by 6 ?

0general

if 9 men do a work in 80 days , in how many days will 20 men do it ?

1physics

if a 6 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ?

3geometry

if 2994 ÷ 14.5 = 172 , then 29.94 ÷ 1.45 = ?

0general

what is the rate percent when the simple interest on rs . 2000 amount to rs . 500 in 2 years ?

2gain

a small pool filled only with water will require an additional 400 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 400 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ?

0general

a train 90 m long is running at 20 kmph . in how much time will it pass a platform 80 m long ?

1physics

x varies inversely as square of y . given that y = 2 for x = 1 . the value of x for y = 6 will be equal to :

0general

5 / 4 of all married couples have more than one child . 2 / 5 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ?

0general

in the first 10 overs of a cricket game , the run rate was only 4.6 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?

2gain

calculate the dividend from moses ' s stock , if he invested rs . 3000 at 72 to obtain an income of rs . 210 .

2gain

perimeter of the back wheel = 9 feet , front wheel = 7 feet on a certain distance , the front wheel gets 10 revolutions more than the back wheel . what is the distance ?

1physics

how many positive integers less than 9,000 are there in which the sum of the digits equals 5 ?

0general

a certain airline ' s fleet consisted of 110 type a planes at the beginning of 1980 . at the end of each year , starting with 1980 , the airline retired 3 of the type a planes and acquired 4 new type b plans . how many years did it take before the number of type a planes left in the airline ' s fleet was less than 50 percent of the fleet ?

2gain

how many positive integers less than 80 are multiples of 4 but not multiples of 6 ?

0general

two employees x and y are paid a total of rs . 550 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?

0general

set a contains all the even numbers between 32 and 80 inclusive . set b contains all the even numbers between 62 and 110 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ?

0general

company c produces toy trucks at a cost of $ 5.00 each for the first 100 trucks and $ 3.50 for each additional truck . if 500 toy trucks were produced by company c and sold for $ 9.00 each , what was company c ’ s gross profit ?

2gain

p and q invested in a business . the profit earned was divided in the ratio 3 : 5 . if p invested rs 12000 , the amount invested by q is

2gain

in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 300 more than the correct answer . find the number .

0general

seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue . if a mixture of x and y contains 30 percent ryegrass , what percent of the weight of this mixture is x ?

2gain

how many multiples of 2 are there between 1 and 50 , exclusive ?

0general

a library branch originally contained 18365 volumes , 30 % of which were fiction novels . 1 / 3 of the volumes were transferred to another location and 1 / 3 of the volumes transferred were fiction novels . what percent of the remaining collection was fiction novels ?

2gain

a person spent rs . 5,040 from his salary on food and 5,000 on house rent . after that he was left with 20 % of his monthly salary . what is his monthly salary ?

2gain

a computer factory produces 5376 computers per month at a constant rate , how many computers are built every 30 minutes assuming that there are 28 days in one month ?

1physics

if the radius of a circle is increased by 40 % then the area is increased by :

3geometry

if a cost college rs 0.70 a companyto produce a program for yhe home coming football game . if rs 15000 was received for addvertisement in the pgm , how many copies rs 0.50 a copy must be sold to make a profit of rs 8000

2gain

if a trader sold two cars each at rs . 325475 and gains 14 % on the first and loses 14 % on the second , then his profit or loss percent on the whole is ?

2gain

if the wheel is 28 cm then the number of revolutions to cover a distance of 1056 cm is ?

1physics

how much more would rs . 30000 fetch , after two years , if it is put at 20 % p . a . compound interest payable half yearly than if is put at 20 % p . a . compound interest payable yearly ?

2gain

a survey was sent to 70 customers , 7 of whom responded . then the survey was redesigned and sent to another 63 customers , 9 of whom responded . by approximately what percent did the response rate increase from the original survey to the redesigned survey ?

2gain

what number should replace the question mark ? 3 , 30 , 11 , 24 , 19 , 18 , - - - ?

0general

a factory producing tennis balls stores them in either big boxes , 25 balls per box , or small boxes , 20 balls per box . if 104 freshly manufactured balls are to be stored , what is the least number of balls that can be left unboxed ?

0general

how many seconds will a train 250 meters long take to cross a platform 200 meters long if the speed of the train is 90 kmph ?

1physics

if x / y = 7 / 3 , then ( x + y ) / ( x - y ) = ?

0general

working at their respective constant rates , machine a makes 100 copies in 10 minutes and machine b makes 150 copies in 15 minutes . if these machines work simultaneously at their respective rates for 30 minutes , what is the total number of copies that they will produce ?

1physics

the banker ' s gain on a sum due 3 years hence at 12 % per annum is rs . 360 . the banker ' s discount is :

2gain

calculate the sum of first 19 natural numbers .

0general

a is twice as good a workman as b and they took 5 days together to do the work b alone can do it in ?

1physics

carl is facing very difficult financial times and can only pay the interest on a $ 10,000 loan he has taken . the bank charges him a quarterly compound rate of 5 % . what is the approximate interest he pays annually ?

2gain

in measuring the sides of a rectangle , one side is taken 6 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements .

3geometry

in a division , divident is 689 , divisior is 36 and quotient is 19 . find the remainder .

0general

the product of two numbers is 120 and the sum of their squares is 289 . the sum of the number is

0general

a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 8 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ?

5other

what is the dividend . divisor 18 , the quotient is 9 and the remainder is 3

0general

the r train leaves station a moving at a constant speed , and passes by stations b and c , in this order . it takes the r train 7 hours to reach station b , and 5 additional hours to reach station c . the distance between stations a and b is m kilometers longer than the distance between stations b and c . what is the distance between stations a and c in terms of m ?

1physics