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

Problem stringlengths 5 967	category class label 6 classes
6 mat - weavers can weave 6 mats in 6 days . at the same rate , how many mats would be woven by 8 mat - weavers in 8 days ?	2gain
if the cost price is 80 % of the selling price , then what is the profit percent ?	2gain
dacid obtained 81 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?	0general
he average of 30 numbers is zero . of them , at the most , how many may be greater than zero ?	0general
in a certain deck of cards , each card has a positive integer written on it , in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer . if the each possible product is between 11 and 200 , then the least and greatest integer on the card would be	0general
a number when divided by 342 gives a remainder 47 . when the same number if it divided by 19 , what would be the remainder ?	0general
√ ( 36 ) ^ 2	0general
a and b start a business , with a investing the total capital of rs . 100000 , on the condition that b pays a interest @ 10 % per annum on his half of the capital . a is a working partner and receives rs . 10000 per month from the total profit and any profit remaining is equally shared by both of them . at the end of the year , it was found that the income of a is twice that of b . find the total profit for the year ?	2gain
double of quarter of 1 percent written as a decimal is :	2gain
15 men take 21 days of 8 hours each to do a piece of work . how many days of 6 hours each would 21 women take to do the same . if 3 women do as much work as 2 men ?	1physics
the number 49 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?	3geometry
he total marks obtained by a student in physics , chemistry and mathematics is 140 more than the marks obtained by him in physics . what is the average mark obtained by him in chemistry and mathematics ?	0general
4 men can check exam papers in 8 days working 5 hours regularly . what is the total hours when 2 men will check the double of the papers in 20 days ?	1physics
given that p is a positive even integer with a positive units digit , if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0 , what is the units digit of p + 1 ?	0general
the population of a town is 10000 . it increases annually at the rate of 30 % p . a . what will be its population after 2 years ?	2gain
find the area of a parallelogram with base 18 cm and height 16 cm ?	3geometry
evaluate : 50 - 12 ÷ 2 × 2 =	0general
when positive integer n is divided by 3 , the remainder is 2 . when n is divided by 5 , the remainder is 5 . how many values less than 100 can n take ?	0general
16 boys or 24 girls can construct the wall in 6 days . the number of days that 8 boys and 24 girls will take to construct ?	1physics
the incomes of two persons a and b are in the ratio 3 : 4 . if each saves rs . 100 per month , the ratio of their expenditures is 1 : 2 . find their incomes ?	5other
a certain country is divided into 6 provinces . each province consists entirely of progressives and traditionalists . if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 9 the total number of progressives in the entire country , what fraction of the country is traditionalist ?	0general
a tradesman sold an article at a loss of 10 % . if the selling price had been increased by $ 50 , there would have been a gain of 10 % . what was the cost price of the article ?	2gain
the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1.20 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?	1physics
in business , a and c invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by a and b was 2 : 3 , if rs 15,0000 was their profit , how much amount did b receive .	2gain
if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2015 ) = ?	0general
a pair of articles was bought for $ 810 at a discount of 10 % . what must be the marked price of each of the article ?	2gain
a person crosses a 600 m long street in 5 minutes . what is his speed in km per hour ?	1physics
if a and b are two events such that p ( a ) = 3 / 4 , p ( b ) = 1 / 2 and p ( a n b ) = 3 / 8 , find p ( not a and not b ) .	0general
when sourav increases his speed from 20 km / hr to 25 km / hr , he takes one hour less than the usual time to cover a certain distance . what is the distance usually covered by him ?	1physics
what is the sum of all possible 3 - digit numbers that can be constructed using the digits 1 , 3 , and 4 if each digit can be used only once in each number ?	0general
4000 was divided into two parts such a way that when first part was invested at 3 % and the second at 5 % , the whole annual interest from both the investments is rs . 144 , how much was put at 3 % ?	2gain
if 20 % of a number = 200 , then 120 % of that number will be ?	2gain
solve the equation for x : 14 ( - x + z ) + 18 = - 14 ( x - z ) - 10	0general
tea worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , the price of the third variety per kg will be :	5other
in an election between two candidates , one got 45 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 2000 , the number of valid votes that the other candidate got , was :	2gain
if log 10 2 = 0.30103 , find the value of log 10 50	5other
divide $ 672 among a , b in the ratio 5 : 3 . how many $ that a get ?	5other
the ratio of ages of aman , bren , and charlie are in the ratio 5 : 8 : 7 respectively . if 5 years ago , the sum of their ages was 75 , what will be the age of aman 10 years from now ?	0general
if 1 / 3 of the passengers on a ship are from north america , 1 / 8 are europeans , 1 / 5 are from africa , 1 / 6 are from asia and the remaining 42 people are citizens of other continents , then how many passengers are on board the ship ?	0general
a room of 5 m 44 cm long and 3 m 74 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor .	1physics
average expenditure of a person for the first 3 days of a week is rs . 340 and for the next 4 days is rs . 420 . average expenditure of the man for the whole week is :	0general
if rs . 400 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ?	2gain
whats the reminder when 879,548 , 521,456 , 258,759 , 653,258 , 778,455 , 658,985 is divided by 4	0general
400 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees	1physics
a car averages 30 miles per hour for the first 6 hours of a trip and averages 46 miles per hour for each additional hour of travel time . if the average speed for the entire trip is 34 miles per hour , how many hours long is the trip ?	1physics
5 / 8 of the population of the country of venezia lives in montague province , while the rest lives in capulet province . in the upcoming election , 80 % of montague residents support romeo , while 70 % of capulet residents support juliet ; each resident of venezia supports exactly one of these two candidates . rounded if necessary to the nearest percent , the probability that a juliet supporter chosen at random resides in capulet is	2gain
a “ sophie germain ” prime is any positive prime number p for which 2 p + 1 is also prime . the product of all the possible units digits of sophie germain primes greater than 5 is	0general
32 % of 5 / 8 =	0general
in a mayoral election , candidate x received 1 / 2 more votes than candidate y , and candidate y received 2 / 5 fewer votes than z . if z received 25,000 votes how many votes did candidate x received ?	0general
a train 150 meters long completely crosses a 240 meters long bridge in 42 seconds . what is the speed of the train is ?	1physics
on july 1 of last year , total employees at company e was decreased by 10 percent . without any change in the salaries of the remaining employees , the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease . the total of the combined salaries of all the employees at company e after july 1 last year was what percent t of thatbeforejuly 1 last year ?	0general
if 2 men or 3 women can reap a field in 8 days how long will 3 men and 4 women take to reap it ?	1physics
if 15 men , working 9 hours a day , can reap a field in 16 days , in how many days will 18 men reap the field , working 8 hours a day ?	1physics
find the sum the difference between the compound and s . i . on a certain sum of money for 5 years at 50 % per annum is rs . 200 of money ?	0general
a small beaker is 1 / 2 filled with salt water . another beaker , which has 5 times the capacity of the small beaker , is 1 / 5 filled with fresh water . after dumping all of the salt water from the small beaker into the large beaker , to what fraction of its capacity will the large beaker be filled ?	0general
a football field is 9600 square yards . if 800 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards ?	3geometry
4.036 divided by 0.04 gives	0general
sum of the squares of 3 numbers is 222 and the sum of their products taken two at a time is 131 . find the sum ?	0general
a train 410 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 140 m long ?	1physics
the total price of a basic computer and printer are $ 2,500 . if the same printer had been purchased with an enhanced computer whose price was $ 500 more than the price of the basic computer , then the price of the printer would have been 1 / 4 of that total . what was the price of the basic computer ?	0general
3 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ?	0general
n ^ ( n / 2 ) = 6 is true when n = 6 in the same way what is the value of n if n ^ ( n / 2 ) = 9 ?	0general
y and z are in a relay race . y runs the first leg of the course in 58 seconds . z runs the second leg of the course in 26 seconds . what was the average time they took to run a leg of the course ?	0general
a , b , and c are integers and a < b < c . s is the set of all integers from a to b , inclusive . q is the set of all integers from b to c , inclusive . the median of set s is ( 3 / 4 ) * b . the median of set q is ( 5 / 8 ) * c . if r is the set of all integers from a to c , inclusive , what fraction of c is the median of set r ?	0general
the mean of 30 values was 180 . it was detected on rechecking that one value 155 was wrongly copied as 135 for the computation of the mean . find the correct mean .	0general
three interviewers , x , y , and z are interviewing 40 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer x admitted 15 applicants , y admitted 17 applicants , and z admitted 20 applicants , at least how many applicants get the admission ?	3geometry
a man took a loan at rate of 12 % per annum simple interest . after 3 years he had to pay 6480 interest . the principal amount borrowed by him was .	2gain
how long will take a leak at the bottom of a tank to empty it if it will take 3 hours to fill it without the leak , but due to the leak it will take one additional hour to be filled ?	1physics
the security gate at a storage facility requires a 5 - digit lock code . if the lock code must consist only of digits from 1 through 7 , inclusive , with no repeated digits , and the first and last digits of the code must be even , how many lock codes are possible ?	0general
if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of 5 m + n ?	0general
the h . c . f . of two numbers is 59 and the other two factors of their l . c . m . are 13 and 16 . the larger of the two numbers is :	5other
0.012 x 0.5 = ?	0general
the rate of interest on a sum of money is 5 % 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 certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 10 per item . if the manufacturer ’ s selling price per item is $ 15 , how many items the manufacturer produce and sell to earn an annual profit of $ 150,000 ?	0general
the difference between simple and compound interest on rs . 1700 for one year at 10 % per annum reckoned half - yearly is ?	2gain
two whole numbers whose sum is 24 is the ratio	5other
vijay sells a cupboard at 16 % below cost price . had he got rs . 1800 more , he would have made a profit of 16 % . what is the cost price of the cupboard ?	2gain
if a : b = 4 : 7 and b : c = 5 : 9 , then a : c = ?	0general
there are 7 red balls and 5 blue balls in a jar . if 3 balls are selected from the jar , what is the probability that 3 balls selected are red balls ?	4probability
on the first of the year , james invested x dollars at proudstar bank in an account that yields 3 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?	2gain
the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of rs . 800 per sq . meter .	1physics
a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 7 with 2 students left over . what is the sum of the two smallest possible values of n ?	0general
the breath of a rectangular landscape is 8 times its length . there is a playground in it whose area is 3200 square mtr & which is 1 / 9 rd of the total landscape . what is the breath of the landscape ?	3geometry
machine c takes 2 more hours than machine b to make 20 widgets . if working together , the machines can make 25 widgets in 3 hours , how long will it take machine c to make 40 widgets ?	1physics
jim is able to sell a hand - carved statue for $ 670 which was a 25 % profit over his cost . how much did the statue originally cost him ?	2gain
sandy had $ 224 left after spending 30 % of the money she took for shopping . how much money did sandy take along with her ?	2gain
if ( 18 ^ a ) * 9 ^ ( 3 a – 1 ) = ( 2 ^ 4 ) ( 3 ^ b ) and a and b are positive integers , what is the value of a ?	0general
each light bulb at a hotel is either incandescent or fluorescent . at a certain moment , forty percent of the incandescent bulbs are switched on , and eighty percent of the fluorescent bulbs are switched on . if 72 percent of all the bulbs are switched on at this moment , what percent of the bulbs that are switched on are incandescent ?	2gain
a motorcyclist goes from bombay to pune , a distance of 224 kms at an average of 32 kmph speed . another man starts from bombay by car 2 ½ hours after the first , and reaches pune ½ hour earlier . what is the ratio of the speed of the motorcycle and the car ?	1physics
if a is thrice as fast as b and together can do a work in 12 days . in how many days a alone can do the work ?	1physics
a car travels from point a to point b . the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 45 km / hr . what is the speed of the car in the second half of the trip ?	0general
in the rectangular coordinate system , what is the x - intercept of a line passing through ( 10 , 3 ) and ( − 6 , − 5 ) ?	0general
in what ratio p : q should the mixture p of milk and water in the ratio of 5 : 3 be mixed with another mixture q of milk and water in the ratio 1 : 3 so that the resultant mixture contains equal quantities of milk and water ?	0general
the ratio between the length and the breadth of a rectangular park is 5 : 3 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min , then thearea of the park ( in sq . m ) is ?	1physics
three unbiased coins are tossed . what is the probability of getting all tails ?	4probability
a person travels from p to q a speed of 80 km / hr and returns by increasing his speed by 10 % . what is his average speed for both the trips ?	0general
a tempo is insured to an extent of 4 / 5 of its original value . if the premium on it at the rate of 1.3 % amounts to $ 910 , the original value of the tempo is ?	2gain
a flagpole 18 meters high casts a shadow of length 45 meters . if a building under similar conditions casts a shadow of length 60 meters , what is the height of the building ( in meters ) ?	1physics
fresh grapes contain 70 % water by weight and raisins obtained by drying fresh grapes contain 25 % water by weight . how many kgs of fresh grapes are needed to get 30 kgs of raisins ?	2gain
in a class of 38 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 10 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ?	0general

6 mat - weavers can weave 6 mats in 6 days . at the same rate , how many mats would be woven by 8 mat - weavers in 8 days ?

2gain

if the cost price is 80 % of the selling price , then what is the profit percent ?

2gain

dacid obtained 81 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?

0general

he average of 30 numbers is zero . of them , at the most , how many may be greater than zero ?

0general

in a certain deck of cards , each card has a positive integer written on it , in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer . if the each possible product is between 11 and 200 , then the least and greatest integer on the card would be

0general

a number when divided by 342 gives a remainder 47 . when the same number if it divided by 19 , what would be the remainder ?

0general

√ ( 36 ) ^ 2

0general

a and b start a business , with a investing the total capital of rs . 100000 , on the condition that b pays a interest @ 10 % per annum on his half of the capital . a is a working partner and receives rs . 10000 per month from the total profit and any profit remaining is equally shared by both of them . at the end of the year , it was found that the income of a is twice that of b . find the total profit for the year ?

2gain

double of quarter of 1 percent written as a decimal is :

2gain

15 men take 21 days of 8 hours each to do a piece of work . how many days of 6 hours each would 21 women take to do the same . if 3 women do as much work as 2 men ?

1physics

the number 49 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?

3geometry

he total marks obtained by a student in physics , chemistry and mathematics is 140 more than the marks obtained by him in physics . what is the average mark obtained by him in chemistry and mathematics ?

0general

4 men can check exam papers in 8 days working 5 hours regularly . what is the total hours when 2 men will check the double of the papers in 20 days ?

1physics

given that p is a positive even integer with a positive units digit , if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0 , what is the units digit of p + 1 ?

0general

the population of a town is 10000 . it increases annually at the rate of 30 % p . a . what will be its population after 2 years ?

2gain

find the area of a parallelogram with base 18 cm and height 16 cm ?

3geometry

evaluate : 50 - 12 ÷ 2 × 2 =

0general

when positive integer n is divided by 3 , the remainder is 2 . when n is divided by 5 , the remainder is 5 . how many values less than 100 can n take ?

0general

16 boys or 24 girls can construct the wall in 6 days . the number of days that 8 boys and 24 girls will take to construct ?

1physics

the incomes of two persons a and b are in the ratio 3 : 4 . if each saves rs . 100 per month , the ratio of their expenditures is 1 : 2 . find their incomes ?

5other

a certain country is divided into 6 provinces . each province consists entirely of progressives and traditionalists . if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 9 the total number of progressives in the entire country , what fraction of the country is traditionalist ?

0general

a tradesman sold an article at a loss of 10 % . if the selling price had been increased by $ 50 , there would have been a gain of 10 % . what was the cost price of the article ?

2gain

the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1.20 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?

1physics

in business , a and c invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by a and b was 2 : 3 , if rs 15,0000 was their profit , how much amount did b receive .

2gain

if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2015 ) = ?

0general

a pair of articles was bought for $ 810 at a discount of 10 % . what must be the marked price of each of the article ?

2gain

a person crosses a 600 m long street in 5 minutes . what is his speed in km per hour ?

1physics

if a and b are two events such that p ( a ) = 3 / 4 , p ( b ) = 1 / 2 and p ( a n b ) = 3 / 8 , find p ( not a and not b ) .

0general

when sourav increases his speed from 20 km / hr to 25 km / hr , he takes one hour less than the usual time to cover a certain distance . what is the distance usually covered by him ?

1physics

what is the sum of all possible 3 - digit numbers that can be constructed using the digits 1 , 3 , and 4 if each digit can be used only once in each number ?

0general

4000 was divided into two parts such a way that when first part was invested at 3 % and the second at 5 % , the whole annual interest from both the investments is rs . 144 , how much was put at 3 % ?

2gain

if 20 % of a number = 200 , then 120 % of that number will be ?

2gain

solve the equation for x : 14 ( - x + z ) + 18 = - 14 ( x - z ) - 10

0general

tea worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , the price of the third variety per kg will be :

5other

in an election between two candidates , one got 45 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 2000 , the number of valid votes that the other candidate got , was :

2gain

if log 10 2 = 0.30103 , find the value of log 10 50

5other

divide $ 672 among a , b in the ratio 5 : 3 . how many $ that a get ?

5other

the ratio of ages of aman , bren , and charlie are in the ratio 5 : 8 : 7 respectively . if 5 years ago , the sum of their ages was 75 , what will be the age of aman 10 years from now ?

0general

if 1 / 3 of the passengers on a ship are from north america , 1 / 8 are europeans , 1 / 5 are from africa , 1 / 6 are from asia and the remaining 42 people are citizens of other continents , then how many passengers are on board the ship ?

0general

a room of 5 m 44 cm long and 3 m 74 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor .

1physics

average expenditure of a person for the first 3 days of a week is rs . 340 and for the next 4 days is rs . 420 . average expenditure of the man for the whole week is :

0general

if rs . 400 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ?

2gain

whats the reminder when 879,548 , 521,456 , 258,759 , 653,258 , 778,455 , 658,985 is divided by 4

0general

400 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees

1physics

a car averages 30 miles per hour for the first 6 hours of a trip and averages 46 miles per hour for each additional hour of travel time . if the average speed for the entire trip is 34 miles per hour , how many hours long is the trip ?

1physics

5 / 8 of the population of the country of venezia lives in montague province , while the rest lives in capulet province . in the upcoming election , 80 % of montague residents support romeo , while 70 % of capulet residents support juliet ; each resident of venezia supports exactly one of these two candidates . rounded if necessary to the nearest percent , the probability that a juliet supporter chosen at random resides in capulet is

2gain

a “ sophie germain ” prime is any positive prime number p for which 2 p + 1 is also prime . the product of all the possible units digits of sophie germain primes greater than 5 is

0general

32 % of 5 / 8 =

0general

in a mayoral election , candidate x received 1 / 2 more votes than candidate y , and candidate y received 2 / 5 fewer votes than z . if z received 25,000 votes how many votes did candidate x received ?

0general

a train 150 meters long completely crosses a 240 meters long bridge in 42 seconds . what is the speed of the train is ?

1physics

on july 1 of last year , total employees at company e was decreased by 10 percent . without any change in the salaries of the remaining employees , the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease . the total of the combined salaries of all the employees at company e after july 1 last year was what percent t of thatbeforejuly 1 last year ?

0general

if 2 men or 3 women can reap a field in 8 days how long will 3 men and 4 women take to reap it ?

1physics

if 15 men , working 9 hours a day , can reap a field in 16 days , in how many days will 18 men reap the field , working 8 hours a day ?

1physics

find the sum the difference between the compound and s . i . on a certain sum of money for 5 years at 50 % per annum is rs . 200 of money ?

0general

a small beaker is 1 / 2 filled with salt water . another beaker , which has 5 times the capacity of the small beaker , is 1 / 5 filled with fresh water . after dumping all of the salt water from the small beaker into the large beaker , to what fraction of its capacity will the large beaker be filled ?

0general

a football field is 9600 square yards . if 800 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards ?

3geometry

4.036 divided by 0.04 gives

0general

sum of the squares of 3 numbers is 222 and the sum of their products taken two at a time is 131 . find the sum ?

0general

a train 410 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 140 m long ?

1physics

the total price of a basic computer and printer are $ 2,500 . if the same printer had been purchased with an enhanced computer whose price was $ 500 more than the price of the basic computer , then the price of the printer would have been 1 / 4 of that total . what was the price of the basic computer ?

0general

3 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ?

0general

n ^ ( n / 2 ) = 6 is true when n = 6 in the same way what is the value of n if n ^ ( n / 2 ) = 9 ?

0general

y and z are in a relay race . y runs the first leg of the course in 58 seconds . z runs the second leg of the course in 26 seconds . what was the average time they took to run a leg of the course ?

0general

a , b , and c are integers and a < b < c . s is the set of all integers from a to b , inclusive . q is the set of all integers from b to c , inclusive . the median of set s is ( 3 / 4 ) * b . the median of set q is ( 5 / 8 ) * c . if r is the set of all integers from a to c , inclusive , what fraction of c is the median of set r ?

0general

the mean of 30 values was 180 . it was detected on rechecking that one value 155 was wrongly copied as 135 for the computation of the mean . find the correct mean .

0general

three interviewers , x , y , and z are interviewing 40 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer x admitted 15 applicants , y admitted 17 applicants , and z admitted 20 applicants , at least how many applicants get the admission ?

3geometry

a man took a loan at rate of 12 % per annum simple interest . after 3 years he had to pay 6480 interest . the principal amount borrowed by him was .

2gain

how long will take a leak at the bottom of a tank to empty it if it will take 3 hours to fill it without the leak , but due to the leak it will take one additional hour to be filled ?

1physics

the security gate at a storage facility requires a 5 - digit lock code . if the lock code must consist only of digits from 1 through 7 , inclusive , with no repeated digits , and the first and last digits of the code must be even , how many lock codes are possible ?

0general

if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of 5 m + n ?

0general

the h . c . f . of two numbers is 59 and the other two factors of their l . c . m . are 13 and 16 . the larger of the two numbers is :

5other

0.012 x 0.5 = ?

0general

the rate of interest on a sum of money is 5 % 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 certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 10 per item . if the manufacturer ’ s selling price per item is $ 15 , how many items the manufacturer produce and sell to earn an annual profit of $ 150,000 ?

0general

the difference between simple and compound interest on rs . 1700 for one year at 10 % per annum reckoned half - yearly is ?

2gain

two whole numbers whose sum is 24 is the ratio

5other

vijay sells a cupboard at 16 % below cost price . had he got rs . 1800 more , he would have made a profit of 16 % . what is the cost price of the cupboard ?

2gain

if a : b = 4 : 7 and b : c = 5 : 9 , then a : c = ?

0general

there are 7 red balls and 5 blue balls in a jar . if 3 balls are selected from the jar , what is the probability that 3 balls selected are red balls ?

4probability

on the first of the year , james invested x dollars at proudstar bank in an account that yields 3 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?

2gain

the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of rs . 800 per sq . meter .

1physics

a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 7 with 2 students left over . what is the sum of the two smallest possible values of n ?

0general

the breath of a rectangular landscape is 8 times its length . there is a playground in it whose area is 3200 square mtr & which is 1 / 9 rd of the total landscape . what is the breath of the landscape ?

3geometry

machine c takes 2 more hours than machine b to make 20 widgets . if working together , the machines can make 25 widgets in 3 hours , how long will it take machine c to make 40 widgets ?

1physics

jim is able to sell a hand - carved statue for $ 670 which was a 25 % profit over his cost . how much did the statue originally cost him ?

2gain

sandy had $ 224 left after spending 30 % of the money she took for shopping . how much money did sandy take along with her ?

2gain

if ( 18 ^ a ) * 9 ^ ( 3 a – 1 ) = ( 2 ^ 4 ) ( 3 ^ b ) and a and b are positive integers , what is the value of a ?

0general

each light bulb at a hotel is either incandescent or fluorescent . at a certain moment , forty percent of the incandescent bulbs are switched on , and eighty percent of the fluorescent bulbs are switched on . if 72 percent of all the bulbs are switched on at this moment , what percent of the bulbs that are switched on are incandescent ?

2gain

a motorcyclist goes from bombay to pune , a distance of 224 kms at an average of 32 kmph speed . another man starts from bombay by car 2 ½ hours after the first , and reaches pune ½ hour earlier . what is the ratio of the speed of the motorcycle and the car ?

1physics

if a is thrice as fast as b and together can do a work in 12 days . in how many days a alone can do the work ?

1physics

a car travels from point a to point b . the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 45 km / hr . what is the speed of the car in the second half of the trip ?

0general

in the rectangular coordinate system , what is the x - intercept of a line passing through ( 10 , 3 ) and ( − 6 , − 5 ) ?

0general

in what ratio p : q should the mixture p of milk and water in the ratio of 5 : 3 be mixed with another mixture q of milk and water in the ratio 1 : 3 so that the resultant mixture contains equal quantities of milk and water ?

0general

the ratio between the length and the breadth of a rectangular park is 5 : 3 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min , then thearea of the park ( in sq . m ) is ?

1physics

three unbiased coins are tossed . what is the probability of getting all tails ?

4probability

a person travels from p to q a speed of 80 km / hr and returns by increasing his speed by 10 % . what is his average speed for both the trips ?

0general

a tempo is insured to an extent of 4 / 5 of its original value . if the premium on it at the rate of 1.3 % amounts to $ 910 , the original value of the tempo is ?

2gain

a flagpole 18 meters high casts a shadow of length 45 meters . if a building under similar conditions casts a shadow of length 60 meters , what is the height of the building ( in meters ) ?

1physics

fresh grapes contain 70 % water by weight and raisins obtained by drying fresh grapes contain 25 % water by weight . how many kgs of fresh grapes are needed to get 30 kgs of raisins ?

2gain

in a class of 38 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 10 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ?

0general