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

Problem stringlengths 5 967	category class label 6 classes
the sum of digits of a two digit number is 12 , the difference between the digits is 6 . find the number	0general
how many 4 - digit numbers can be formed from the digits 0,2 , 3 , 5 , 6 , 7 and 9 , which are divisible by 5 and if the repetition is not allowed ?	0general
if 8 workers can build 8 cars in 8 days , then how many days would it take 7 workers to build 7 cars ?	1physics
the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 45 ft long . what is the distance traveled by the cart , when the front wheel has done five more revolutions than the rear wheel ?	1physics
a girl was asked to multiply a certain number by 43 . she multiplied it by 34 and got his answer less than the correct one by 1242 . find the number to be multiplied .	0general
in an election , candidate a got 85 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate .	2gain
find out the c . i on rs . 5000 at 4 % p . a . compound half - yearly for 1 1 / 2 years	0general
a retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 80 percent greater than the wholesale price . if the retailer decreases the retail price by 20 percent this will have the same effect as increasing the wholesale price by what percent ?	2gain
the slant height of a cone is 22 cm and radius of the base is 7 cm , find the curved surface of the cone ?	3geometry
one night 40 percent of the female officers on a police force were on duty . if 240 officers were on duty that night and half of these were female officers , how many female officers were on the police force ?	2gain
there are 4 red shoes & 6 green shoes . if two of red shoes are drawn what is the probability of getting red shoes	4probability
how much water should be added to 14 liters of a 20 % - solution of alcohol to reduce the concentration of alcohol in the solution by 75 % ?	0general
a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a rate of 8 miles per day and it will take them two days , how many miles long is the route down the mountain ?	1physics
what is the 20 th digit to the right of the decimal point in the decimal expansion of 1 / 37 ?	0general
the banker ' s gain on a bill due due 1 year hence at 12 % per annum is rs . 6.6 . the true discount is	2gain
the average mark of the students of a class in a particular exam is 80 . if 5 students whose average mark in that exam is 20 are excluded , the average mark of the remaining will be 92 . find the number of students who wrote the exam .	0general
if x is to be chosen at random from the integers between 1 to 6 , inclusive , and y is to be chosen at random from the integers between 7 and 10 , inclusive , what is the probability that x + y will be even ?	0general
a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 7.50 . if the company ’ s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ?	0general
a bowl was filled with 10 ounces of water , and 0.08 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?	2gain
machine a and machine b are each used to manufacture 440 sprockets . it takes machine a 10 hours longer to produce 440 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?	2gain
two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 42 kmph respectively . in how much time will they cross each other , if they are running in the same direction ?	1physics
the sum of three consecutive even numbers is 87 . find the middle number of the three ?	1physics
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 . 1170 . the perimeter of the plot is ?	3geometry
there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is 7 - third that of the smaller circle . find the circumference of the smaller circle .	3geometry
the average of first four prime numbers greater than 30 is ?	0general
kim bought a total of $ 2.65 worth of postage stamps in 4 denominations . if she bought an equal number of 2 - cent and 20 - cent stamps and twice as many 10 - cent stamps as 5 - cent stamps , what is the least number of 1 - cent stamps she could have bought ?	0general
a and b put in rs . 200 and rs . 400 respectively into a business . a reinvests into the business his share of the first year ' s profit of rs . 210 where as b does not . in what ratio should they divide the second year ' s profit ?	2gain
a train running at the speed of 60 km / hr crosses a pole in 9 seconds . find the length of the train .	1physics
a certain car can travel 40 minutes on a gallon of gasoline at 50 miles per hour . if the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end , then what percent of the tank was used to travel 80 miles at 60 mph ?	1physics
the average weight of 8 students decreases by 5 kg when one of them weighing 86 kg is replaced by a new student . the weight of the student is	0general
a football team lost 5 yards and then gained 8 . what is the team ' s progress ?	2gain
a and b go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 60 kmph . after how much time will they meet for the first time at the starting point ?	1physics
divide rs . 1500 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
80 % of the population of a village is 23040 . the total population of the village is ?	0general
a , b and c completed a piece of work , a worked for 6 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was rs . 1702 ?	1physics
a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 18 kilometers per hour . the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate . how many minutes must the cyclist wait until the hiker catches up ?	1physics
at 1 : 00 pm , a truck left city p and headed toward city q at a constant speed of 45 km / h . one hour later , a car left city q and headed toward city p along the same road at a constant speed of 40 km / h . if the distance between city p and city q is 300 km , at what time will the truck and the car meet each other ?	1physics
two cars are driving toward each other . the first car is traveling at a speed of 75 km / h , which is 25 % slower than the second car ' s speed . if the distance between the cars is 1050 km , how many hours will it take until the two cars meet ?	1physics
an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 26 metre of cloth ?	1physics
in a class of 38 students 26 play football and play 20 long tennis , if 17 play above , many play neither ?	5other
if the diameter of circle r is 80 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ?	3geometry
find the perimeter and area of a square of side 9 cm .	3geometry
the ratio of the volumes of two cubes is 9261 : 12167 . what is the ratio of their total surface areas ?	3geometry
a and b together can do a work in 3 days . if a alone can do it in 12 days . in how many days can b alone do it ?	1physics
solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 300 milliliters of solution x to create a solution that is 18 percent alcohol by volume ?	0general
if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 20 % of m is equal to what percent of 100 % of j ?	2gain
if p is a prime number greater than 5 , what is the remainder when p ^ 2 is divided by 6 .	0general
a sum of rs . 2200 has been divided among a , b and c such that a gets 1 / 4 of what b gets and b gets 1 / 5 of what c gets . what is b ' s share ?	0general
at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 1 ) . an employee with a salary grade of 4 receives how many more dollars per hour than an employee with a salary grade of 1 ?	0general
the price of a t . v . set worth rs . 8000 is to be paid in 20 installments of rs . 750 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?	2gain
in an examination , 40 % of total students failed in hindi , 40 % failed in english and 15 % in both . the percentage of these who passed in both the subjects is :	0general
some students are standing in a circle in which 6 th and the 16 th student are standing opposite to each other . find how many students were present there .	3geometry
if the annual increase in the population of a town is 10 % and the present number of people is 13000 , what will the population be in 2 years ?	2gain
find the compound interest on $ 46,000 at 20 % per annum for 9 months , compounded quarterly	2gain
lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 44000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is :	0general
how many positive integer solutions does the equation 5 x + 10 y = 100 have ?	0general
the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 3025 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ?	3geometry
what is the difference between the ci on rs . 5000 for 1 years at 4 % per annum ci yearly and half yearly ?	2gain
140 is what percent of 40 ?	2gain
tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 56 people bought tickets to the concert , what was the total revenue from ticket sales ?	2gain
in the annual cultural programme of indra prastha there was this math quiz going on . yudhisthir faced this last question that will bring the champion ' s trophy . what will be thesolution for the given problem ? the function f is defined is defined asf ( 2 x + 3 ) = ( x - 3 ) ( x + 4 ) what is f ( 29 ) ?	0general
a driver goes on a trip of 70 kilometers , the first 35 kilometers at 48 kilometers per hour and the remaining distance at 24 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ?	1physics
one day a car rental agency rented 2 / 3 of its cars , including 3 / 5 of its cars with cd players . if 3 / 4 of its cars have cd players , what percent of the cars that were not rented had cd players ?	0general
if 183 is divisible by 11 , find the value of the smallest natural no . n ?	0general
joshua and jose work at an auto repair center with 3 other workers . for a survey on health care insurance , 2 of the 6 workers will be randomly chosen to be interviewed . what is the probability that joshua and jose will both be chosen ?	1physics
a can do a piece of work in 40 days ; b can do the same in 40 days . a started alone but left the work after 10 days , then b worked at it for 10 days . c finished the remaining work in 10 days . c alone can do the whole work in ?	1physics
in a 280 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :	1physics
in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what z percent of all the people in smithtown are left - handed women ?	0general
in a kilometer race , a beats b by 80 meters or 10 seconds . what time does a take to complete the race ?	1physics
if n is the smallest integer such that 144 times n is the square of an integer , what is the value of n ?	3geometry
claire has a total of 86 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ?	0general
jackie has two solutions that are 4 percent sulfuric acid and 12 percent sulfuric acid by volume , respectively . if these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid , approximately how many liters of the 12 percent solution will be required ?	2gain
how much space , in cubic units , is left vacant when maximum number of 4 x 4 x 4 cubes are fitted in a rectangular box measuring 10 x 12 x 16 ?	3geometry
it is currently 8 : 34 pm . at what time in the morning was it exactly 39,668 minutes ago ?	1physics
a palindrome is a number that reads the same forward and backward . for example . 2442 and 111 are palindromes . if 5 - digit palindromes are formed using one or more of the digits , 1 , 2 , 3 , how many such palindromes are possible ?	0general
a train 125 m long passes a man , running at 20 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?	1physics
if 20 % of ( x - y ) = 14 % of ( x + y ) , then what percent of x is y ?	0general
if rs . 510 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively :	0general
what is the dividend . divisor 15 , the quotient is 9 and the remainder is 5 ?	0general
an order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter . find the ratio of the areas of the carpets in both the cases .	5other
stacy and heather are 10 miles apart and walk towards each other along the same route . stacy walks at constant rate that is 1 mile per hour fast than heather ' s constant rate of 5 miles / hour . if heather starts her journey 24 minutes after stacy , how far from the original destination has heather walked when the two meet ? .	1physics
a man can row upstream at 26 kmph and downstream at 40 kmph , and then find the speed of the man in still water ?	1physics
if n is an integer from 1 to 96 ( inclusive ) , what is the probability for n * ( n + 1 ) * ( n + 2 ) being divisible by 8 ?	0general
by selling an article for $ 90 , a person gains $ 15 . what is the gain % ?	2gain
on multiplying a number b by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result .	5other
if a computer program generates 3 - digit odd numbers using the numbers 9 , 7 , 0 , 8 , and 1 , and the digits can be repeated , what is the probability that the number formed from the program is a multiple of 3 ?	0general
how many pounds of salt at 70 cents / lb must be mixed with 45 lbs of salt that costs 40 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb ?	2gain
the length of a side of a hexagon is 5 inches . what is the perimeter ?	1physics
one fourth of a solution that was 12 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent salt by weight ?	2gain
a house wife saved $ 4 in buying an item on sale . if she spent $ 28 for the item , approximately how much percent she saved in the transaction ?	0general
a can do a work in 3 days . b can do the same work in 6 days . both a & b together will finish the work and they got $ 1000 from that work . find their shares ?	1physics
two friends deepak and rajeev have agreed to meet at a definite spot on a particular day between 9 pm and 10 pm . the first person to come waits for some time and leaves . if the other one does not turn up by that time . if deepak comes first , he waits for 45 minutes and if rajeev comes first , he waits for 15 minutes . what is the probability of meeting between deepak and rajeev if their arrival times are independent of eachother and each person arrives during the indicated period at random ?	1physics
claire has a total of 90 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ?	0general
what is the units digit of 2222 ^ ( 333 ) * 3333 ^ ( 444 ) ?	0general
a shopkeeper labeled the price of his articles so as to earn a profit of 30 % on the cost price . he then sold the articles by offering a discount of 10 % on the labeled price . what is the actual percent profit earned in the deal ?	2gain
what is the area inscribed by the lines y = 10 , x = 1 , y = 3 x + 1 on an xy - coordinate plane ?	0general
what is rate of interest if principal . amount be 400 , simple interest 100 and time 2 year .	2gain
harold works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 4 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ?	0general
a train covers a distance of 12 km in 10 minutes . if it takes 7 seconds to pass a telegraph post , then the length of the train is	1physics
the ratio of the volumes of two cubes is 6859 : 1331 . what is the ratio of their total surface areas ?	3geometry

the sum of digits of a two digit number is 12 , the difference between the digits is 6 . find the number

0general

how many 4 - digit numbers can be formed from the digits 0,2 , 3 , 5 , 6 , 7 and 9 , which are divisible by 5 and if the repetition is not allowed ?

0general

if 8 workers can build 8 cars in 8 days , then how many days would it take 7 workers to build 7 cars ?

1physics

the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 45 ft long . what is the distance traveled by the cart , when the front wheel has done five more revolutions than the rear wheel ?

1physics

a girl was asked to multiply a certain number by 43 . she multiplied it by 34 and got his answer less than the correct one by 1242 . find the number to be multiplied .

0general

in an election , candidate a got 85 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate .

2gain

find out the c . i on rs . 5000 at 4 % p . a . compound half - yearly for 1 1 / 2 years

0general

a retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 80 percent greater than the wholesale price . if the retailer decreases the retail price by 20 percent this will have the same effect as increasing the wholesale price by what percent ?

2gain

the slant height of a cone is 22 cm and radius of the base is 7 cm , find the curved surface of the cone ?

3geometry

one night 40 percent of the female officers on a police force were on duty . if 240 officers were on duty that night and half of these were female officers , how many female officers were on the police force ?

2gain

there are 4 red shoes & 6 green shoes . if two of red shoes are drawn what is the probability of getting red shoes

4probability

how much water should be added to 14 liters of a 20 % - solution of alcohol to reduce the concentration of alcohol in the solution by 75 % ?

0general

a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a rate of 8 miles per day and it will take them two days , how many miles long is the route down the mountain ?

1physics

what is the 20 th digit to the right of the decimal point in the decimal expansion of 1 / 37 ?

0general

the banker ' s gain on a bill due due 1 year hence at 12 % per annum is rs . 6.6 . the true discount is

2gain

the average mark of the students of a class in a particular exam is 80 . if 5 students whose average mark in that exam is 20 are excluded , the average mark of the remaining will be 92 . find the number of students who wrote the exam .

0general

if x is to be chosen at random from the integers between 1 to 6 , inclusive , and y is to be chosen at random from the integers between 7 and 10 , inclusive , what is the probability that x + y will be even ?

0general

a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 7.50 . if the company ’ s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ?

0general

a bowl was filled with 10 ounces of water , and 0.08 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?

2gain

machine a and machine b are each used to manufacture 440 sprockets . it takes machine a 10 hours longer to produce 440 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?

2gain

two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 42 kmph respectively . in how much time will they cross each other , if they are running in the same direction ?

1physics

the sum of three consecutive even numbers is 87 . find the middle number of the three ?

1physics

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 . 1170 . the perimeter of the plot is ?

3geometry

there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is 7 - third that of the smaller circle . find the circumference of the smaller circle .

3geometry

the average of first four prime numbers greater than 30 is ?

0general

kim bought a total of $ 2.65 worth of postage stamps in 4 denominations . if she bought an equal number of 2 - cent and 20 - cent stamps and twice as many 10 - cent stamps as 5 - cent stamps , what is the least number of 1 - cent stamps she could have bought ?

0general

a and b put in rs . 200 and rs . 400 respectively into a business . a reinvests into the business his share of the first year ' s profit of rs . 210 where as b does not . in what ratio should they divide the second year ' s profit ?

2gain

a train running at the speed of 60 km / hr crosses a pole in 9 seconds . find the length of the train .

1physics

a certain car can travel 40 minutes on a gallon of gasoline at 50 miles per hour . if the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end , then what percent of the tank was used to travel 80 miles at 60 mph ?

1physics

the average weight of 8 students decreases by 5 kg when one of them weighing 86 kg is replaced by a new student . the weight of the student is

0general

a football team lost 5 yards and then gained 8 . what is the team ' s progress ?

2gain

a and b go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 60 kmph . after how much time will they meet for the first time at the starting point ?

1physics

divide rs . 1500 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

80 % of the population of a village is 23040 . the total population of the village is ?

0general

a , b and c completed a piece of work , a worked for 6 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was rs . 1702 ?

1physics

a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 18 kilometers per hour . the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate . how many minutes must the cyclist wait until the hiker catches up ?

1physics

at 1 : 00 pm , a truck left city p and headed toward city q at a constant speed of 45 km / h . one hour later , a car left city q and headed toward city p along the same road at a constant speed of 40 km / h . if the distance between city p and city q is 300 km , at what time will the truck and the car meet each other ?

1physics

two cars are driving toward each other . the first car is traveling at a speed of 75 km / h , which is 25 % slower than the second car ' s speed . if the distance between the cars is 1050 km , how many hours will it take until the two cars meet ?

1physics

an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 26 metre of cloth ?

1physics

in a class of 38 students 26 play football and play 20 long tennis , if 17 play above , many play neither ?

5other

if the diameter of circle r is 80 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ?

3geometry

find the perimeter and area of a square of side 9 cm .

3geometry

the ratio of the volumes of two cubes is 9261 : 12167 . what is the ratio of their total surface areas ?

3geometry

a and b together can do a work in 3 days . if a alone can do it in 12 days . in how many days can b alone do it ?

1physics

solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 300 milliliters of solution x to create a solution that is 18 percent alcohol by volume ?

0general

if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 20 % of m is equal to what percent of 100 % of j ?

2gain

if p is a prime number greater than 5 , what is the remainder when p ^ 2 is divided by 6 .

0general

a sum of rs . 2200 has been divided among a , b and c such that a gets 1 / 4 of what b gets and b gets 1 / 5 of what c gets . what is b ' s share ?

0general

at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 1 ) . an employee with a salary grade of 4 receives how many more dollars per hour than an employee with a salary grade of 1 ?

0general

the price of a t . v . set worth rs . 8000 is to be paid in 20 installments of rs . 750 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?

2gain

in an examination , 40 % of total students failed in hindi , 40 % failed in english and 15 % in both . the percentage of these who passed in both the subjects is :

0general

some students are standing in a circle in which 6 th and the 16 th student are standing opposite to each other . find how many students were present there .

3geometry

if the annual increase in the population of a town is 10 % and the present number of people is 13000 , what will the population be in 2 years ?

2gain

find the compound interest on $ 46,000 at 20 % per annum for 9 months , compounded quarterly

2gain

lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 44000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is :

0general

how many positive integer solutions does the equation 5 x + 10 y = 100 have ?

0general

the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 3025 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ?

3geometry

what is the difference between the ci on rs . 5000 for 1 years at 4 % per annum ci yearly and half yearly ?

2gain

140 is what percent of 40 ?

2gain

tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 56 people bought tickets to the concert , what was the total revenue from ticket sales ?

2gain

in the annual cultural programme of indra prastha there was this math quiz going on . yudhisthir faced this last question that will bring the champion ' s trophy . what will be thesolution for the given problem ? the function f is defined is defined asf ( 2 x + 3 ) = ( x - 3 ) ( x + 4 ) what is f ( 29 ) ?

0general

a driver goes on a trip of 70 kilometers , the first 35 kilometers at 48 kilometers per hour and the remaining distance at 24 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ?

1physics

one day a car rental agency rented 2 / 3 of its cars , including 3 / 5 of its cars with cd players . if 3 / 4 of its cars have cd players , what percent of the cars that were not rented had cd players ?

0general

if 183 is divisible by 11 , find the value of the smallest natural no . n ?

0general

joshua and jose work at an auto repair center with 3 other workers . for a survey on health care insurance , 2 of the 6 workers will be randomly chosen to be interviewed . what is the probability that joshua and jose will both be chosen ?

1physics

a can do a piece of work in 40 days ; b can do the same in 40 days . a started alone but left the work after 10 days , then b worked at it for 10 days . c finished the remaining work in 10 days . c alone can do the whole work in ?

1physics

in a 280 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :

1physics

in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what z percent of all the people in smithtown are left - handed women ?

0general

in a kilometer race , a beats b by 80 meters or 10 seconds . what time does a take to complete the race ?

1physics

if n is the smallest integer such that 144 times n is the square of an integer , what is the value of n ?

3geometry

claire has a total of 86 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ?

0general

jackie has two solutions that are 4 percent sulfuric acid and 12 percent sulfuric acid by volume , respectively . if these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid , approximately how many liters of the 12 percent solution will be required ?

2gain

how much space , in cubic units , is left vacant when maximum number of 4 x 4 x 4 cubes are fitted in a rectangular box measuring 10 x 12 x 16 ?

3geometry

it is currently 8 : 34 pm . at what time in the morning was it exactly 39,668 minutes ago ?

1physics

a palindrome is a number that reads the same forward and backward . for example . 2442 and 111 are palindromes . if 5 - digit palindromes are formed using one or more of the digits , 1 , 2 , 3 , how many such palindromes are possible ?

0general

a train 125 m long passes a man , running at 20 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?

1physics

if 20 % of ( x - y ) = 14 % of ( x + y ) , then what percent of x is y ?

0general

if rs . 510 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively :

0general

what is the dividend . divisor 15 , the quotient is 9 and the remainder is 5 ?

0general

an order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter . find the ratio of the areas of the carpets in both the cases .

5other

stacy and heather are 10 miles apart and walk towards each other along the same route . stacy walks at constant rate that is 1 mile per hour fast than heather ' s constant rate of 5 miles / hour . if heather starts her journey 24 minutes after stacy , how far from the original destination has heather walked when the two meet ? .

1physics

a man can row upstream at 26 kmph and downstream at 40 kmph , and then find the speed of the man in still water ?

1physics

if n is an integer from 1 to 96 ( inclusive ) , what is the probability for n * ( n + 1 ) * ( n + 2 ) being divisible by 8 ?

0general

by selling an article for $ 90 , a person gains $ 15 . what is the gain % ?

2gain

on multiplying a number b by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result .

5other

if a computer program generates 3 - digit odd numbers using the numbers 9 , 7 , 0 , 8 , and 1 , and the digits can be repeated , what is the probability that the number formed from the program is a multiple of 3 ?

0general

how many pounds of salt at 70 cents / lb must be mixed with 45 lbs of salt that costs 40 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb ?

2gain

the length of a side of a hexagon is 5 inches . what is the perimeter ?

1physics

one fourth of a solution that was 12 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent salt by weight ?

2gain

a house wife saved $ 4 in buying an item on sale . if she spent $ 28 for the item , approximately how much percent she saved in the transaction ?

0general

a can do a work in 3 days . b can do the same work in 6 days . both a & b together will finish the work and they got $ 1000 from that work . find their shares ?

1physics

two friends deepak and rajeev have agreed to meet at a definite spot on a particular day between 9 pm and 10 pm . the first person to come waits for some time and leaves . if the other one does not turn up by that time . if deepak comes first , he waits for 45 minutes and if rajeev comes first , he waits for 15 minutes . what is the probability of meeting between deepak and rajeev if their arrival times are independent of eachother and each person arrives during the indicated period at random ?

1physics

claire has a total of 90 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ?

0general

what is the units digit of 2222 ^ ( 333 ) * 3333 ^ ( 444 ) ?

0general

a shopkeeper labeled the price of his articles so as to earn a profit of 30 % on the cost price . he then sold the articles by offering a discount of 10 % on the labeled price . what is the actual percent profit earned in the deal ?

2gain

what is the area inscribed by the lines y = 10 , x = 1 , y = 3 x + 1 on an xy - coordinate plane ?

0general

what is rate of interest if principal . amount be 400 , simple interest 100 and time 2 year .

2gain

harold works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 4 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ?

0general

a train covers a distance of 12 km in 10 minutes . if it takes 7 seconds to pass a telegraph post , then the length of the train is

1physics

the ratio of the volumes of two cubes is 6859 : 1331 . what is the ratio of their total surface areas ?

3geometry