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

Problem stringlengths 5 967	category class label 6 classes
how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 390 m in length ?	1physics
a can finish a work in 24 days , b in 9 days and c in 12 days . b and c start the work but are forced to leave after 3 days . when a done the work ?	1physics
in a recent election , james received 1.5 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ?	0general
jolene entered an 18 - month investment contract that guarantees to pay 2 percent interest at the end of 6 months , another 3 percent interest at the end of 10 months , and 4 percent interest at the end of the 18 month contract . if each interest payment is reinvested in the contract , and jolene invested $ 10,000 initially , what will be the total amount of interest paid during the 18 - month contract ?	2gain
walking 4 / 3 of his usual rate , a boy reaches his school 4 min early . find his usual time to reach the school ?	2gain
which is the least number that must be subtracted from 1256 so that the remainder when divided by 7 , 12 , 16 is 4 ?	0general
if n is the smallest integer such that 108 times n is the square of an integer , what is the value of n ?	3geometry
of the 500 employees in a certain company , 25 percent will be relocated to city x and the remaining 75 percent will be relocated to city y . however , 40 percent of the employees prefer city y and 60 percent prefer city x . what is the highest possible number of employees who will be relocated to the city they prefer ?	2gain
the average of 1 st 3 of 4 numbers is 6 and of the last 3 are 5 . if the sum of the first and the last number is 11 . what is the last numbers ?	0general
if the cost price of 50 articles is equal to the selling price of 35 articles , then the gain or loss percent is ?	2gain
a batch of cookies was divided amomg 3 tins : 3 / 4 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 4 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin	0general
10 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ?	5other
a grocer has a sale of rs . 6400 , rs . 7000 , rs . 6800 , rs . 7200 and rs . 6500 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ?	0general
given that a is the average ( arithmetic mean ) of the first 5 positive multiples of 6 and b is the median of the first 12 positive multiples of 6 , what is the ratio of a to b ?	0general
find the compound interest on rs . 7500 at 4 % per annum for 2 years , compounded annually .	2gain
how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 13 inches than that of a rectangular sheet of paper measuring 6.5 inches by 11 inches ?	3geometry
in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,9 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ?	3geometry
if a sum of money doubles itself in 5 years at simple interest , the ratepercent per annum is	2gain
elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service . elvin ' s total telephone bill for january was $ 52 and elvin ' s total telephone bill for february was 76 $ . if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january , what is elvin ' s fixed monthly charge for internet service ?	0general
a started a business with an investment of rs . 70000 and after 9 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 76000 , then the share of b is ?	2gain
how many 7 in between 1 to 110 ?	0general
a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3000 , a will get :	1physics
a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 78000 , then the share of b is ?	2gain
if an object travels 90 feet in 3 seconds , what is the object ’ s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )	1physics
if 2 x + y = 7 and x + 2 y = 5 , then xy / 3 =	0general
there are 21 students in a class . in how many different ways can a committee of 3 students be formed ?	4probability
the average age of boys in a class is 16 years and that of the girls is 15 years . the average age for the whole class is	0general
of 800 surveyed students , 20 % of those who read book a also read book b and 25 % of those who read book b also read book a . if each student read at least one of the books , what is the difference between the number of students who read only book a and the number of students who read only book b ?	2gain
what annual payment will discharge a debt of rs . 1090 due in 2 years at the rate of 5 % compound interest ?	2gain
a man sells a car to his friend at 15 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :	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 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?	1physics
how many 0 ' s are there in the binary form of 6 * 1024 + 4 * 64 + 2	0general
what is 7 1 / 4 - 4 2 / 3 divided by 7 / 8 - 3 / 4 ?	0general
the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 225 , then the mean profit for the last 15 days would be	2gain
find out the c . i on rs . 8000 at 4 % p . a . compound half - yearly for 1 1 / 2 years	0general
jayes can eat 25 marshmallows is 20 minutes . dylan can eat 25 in one hour . in how much time will the two eat 150 marshmallows ?	1physics
how many even number in the range between 10 to 120 inclusive are not divisible by 3	0general
in the biology lab of ` ` jefferson ' ' high school there are 0.037 * 10 ^ 5 germs , equally divided among 74000 * 10 ^ ( - 3 ) petri dishes . how many germs live happily in a single dish ?	0general
the largest 4 digit number exactly divisible by 44 is ?	0general
if a certain number is divided by 2 , the quotient , dividend , and divisor , added together , will amount to 62 . what is the number ?	0general
a and b can do a work in 10 days and 15 days respectively . a starts the work and b joins him after 5 days . in how many days can they complete the remaining work ?	1physics
for the symbol , m ” n = n ^ 2 − m for all values of m and n . what is the value of 4 ” 2 ?	0general
in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1100 employees , then the no . of female employees who are computer literate ?	2gain
total 48 matches are conducted in knockout match type . how many players will be participated in that tournament ?	0general
in 130 m race , a covers the distance in 36 seconds and b in 45 seconds . in this race a beats b by :	1physics
at a certain university , 69 % of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ?	2gain
in a dairy farm , 26 cows eat 26 bags of husk in 26 days . in how many days one cow will eat one bag of husk ?	1physics
the average age of a group of n people is 14 years old . one more person aged 34 joins the group and the new average is 16 years old . what is the value of n ?	0general
the number 0.650 is how much greater than 1 / 8 ?	0general
if $ 1092 are divided between worker a and worker b in the ratio 5 : 8 , what is the share that worker b will get ?	5other
a card is drawn from a pack of 52 cards the probability of getting queen of club or aking of a heart ?	4probability
1000 men have provisions for 17 days . if 500 more men join them , for how many days will the provisions last now ?	1physics
a person travels equal distances with speeds of 3 km / hr , 4 km / hr and 5 km / hr and takes a total time of 47 minutes . the total distance is ?	1physics
if x is an integer such that 0 < x < 7 , 0 < x < 15 , 5 > x > – 1 , 3 > x > 0 , and x + 2 < 4 , then x is	0general
an error 5 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is :	2gain
1 + 1	0general
rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 150 . what is the share of rahul ?	1physics
a boat m leaves shore a and at the same time boat b leaves shore b . they move across the river . they met at 500 yards away from a and after that they met 300 yards away from shore b without halting at shores . find the distance between the shore a & b	1physics
a pineapple costs rs 7 each and a watermelon costs rs . 5 each . if i spend rs 38 on total what is the number of pineapple i purchased ?	0general
the sub - duplicate ratio of 25 : 16 is	5other
in δ pqs above , if pq = 7 and ps = 8 , then	0general
ajay can ride 50 km in 1 hour . in how many hours he can ride 1250 km ?	1physics
a boat covers a certain distance downstream in 1 hour , while it comes back in 11 â „ 2 hours . if the speed of the stream be 3 kmph , what is the speed of the boat in still water ?	1physics
in a division , a student took 87 as divisor instead of 36 . his answer was 24 . the correct answer is -	0general
what is the sum of all digits for the number 10 ^ 26 - 51 ?	0general
what is the measure of the angle w made by the diagonals of the any adjacent sides of a cube .	3geometry
what is the compound interest paid on a sum of rs . 6000 for the period of 2 years at 10 % per annum .	2gain
a fair 2 sided coin is flipped 8 times . what is the probability that tails will be the result at least twice , but not more than 8 times ?	0general
the difference between c . i . and s . i . on an amount of rs . 15,000 for 2 years is rs . 54 . what is the rate of interest per annum ?	2gain
find the compound ratio of ( 1 : 2 ) , ( 2 : 3 ) and ( 3 : 4 ) is	5other
if 1 is added to the denominator of fraction , the fraction becomes 1 / 2 . if 1 is added to the numerator , the fraction becomes 1 . the fraction is	0general
if the ratio of two number is 2 : 3 and lcm of the number is 120 then what is the number .	5other
find out the c . i on rs . 4000 at 4 % p . a . compound half - yearly for 1 1 / 2 years	0general
bert and rebecca were looking at the price of a condominium . the price of the condominium was 40 % more than bert had in savings , and separately , the same price was also 75 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings .	2gain
walking at 5 / 6 of her normal speed , a worker is 12 minutes later than usual in reaching her office . the usual time ( in minutes ) taken by her to cover the distance between her home and her office is	1physics
if 12 lions can kill 12 deers in 12 minutes how long will it take 100 lions to kill 100 deers ?	1physics
a man cycling along the road noticed that every 18 minutes a bus overtakes him and every 6 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?	1physics
x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 27000 . what will be the ratio in which they should share the profit at the end of the year ?	5other
the hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 15 miles per hour . the cyclist stops to wait 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
if x + y = 10 , x - y = 18 , for integers of x and y , x = ?	0general
wink , inc . follows a certain procedure that requires two tasks to be finished independently in order for a job to be done . on any given day , there is a 2 / 3 probability that task 1 will be completed on time , and a 3 / 5 probability that task 2 will be completed on time . on a certain day , what is the probability that task 1 will be completed on time , but task 2 will not ?	4probability
find the least number must be subtracted from 964807 so that remaining no . is divisible by 8 ?	0general
if 8 people take an hour to complete a piece of work , then how long should 16 people will take to complete the same piece of work ?	1physics
find the area of a parallelogram with base 25 cm and height 15 cm ?	3geometry
when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 6 ] * [ 4 ] = ?	0general
in a certain company , a third of the workers do not have a retirement plan . 60 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?	2gain
a bus started its journey from mumbai and reached pune in 65 min with its average speed of 60 km / hr . if the average speed of the bus is increased by 5 km / hr , how much time will it take to cover the same distance ?	0general
the mean of 50 observations is 200 . but later he found that there is decrements of 47 from each observations . what is the the updated mean is ?	0general
a bag contains 4 red , 6 blue and 3 green balls . if 3 balls are picked at random , what is the probability that both are blue ?	5other
what is 120 % of 13 / 24 of 360 ?	2gain
if a farmer sells 10 of his chickens , his stock of feed will last for 4 more days than planned , but if he buys 15 more chickens , he will run out of feed 3 days earlier than planned . if no chickens are sold or bought , the farmer will be exactly on schedule . how many chickens does the farmer have ?	0general
how many 1 / 2 s are there in 37 1 / 2 ?	0general
a , b , c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 175 , then how much amount should c pay as his share of rent ?	0general
in a box of 12 pens , a total of 6 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ?	0general
a part of certain sum of money is invested at 6 % per annum and the rest at 15 % per annum , if the interest earned in each case for the same period is equal , then ratio of the sums invested is ?	2gain
if a randomly selected non - negative single digit integer is added to { 2 , 3 , 5 , 8 } . what is the probability that the median of the set will increase but the range still remains the same ?	0general
on a sum of money , the s . i . for 2 years is $ 600 , while the c . i . is $ 630 , the rate of interest being the same in both the cases . the rate of interest is ?	2gain
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 seven - third that of the smaller circle . find the circumference of the smaller circle .	3geometry
y and z walk around a circular track . they start at 5 a . m from the same point in the opposite directions . y and z walk at a speed of 3 rounds per hour and 4 rounds per hour respectively . how many times shall they cross each other before 7 a . m	1physics
a box contains 10 black , 5 red and 4 green marbles . 3 marbles are drawn from the box at random . what is the probability that all the three marbles are of the same color ?	4probability

how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 390 m in length ?

1physics

a can finish a work in 24 days , b in 9 days and c in 12 days . b and c start the work but are forced to leave after 3 days . when a done the work ?

1physics

in a recent election , james received 1.5 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ?

0general

jolene entered an 18 - month investment contract that guarantees to pay 2 percent interest at the end of 6 months , another 3 percent interest at the end of 10 months , and 4 percent interest at the end of the 18 month contract . if each interest payment is reinvested in the contract , and jolene invested $ 10,000 initially , what will be the total amount of interest paid during the 18 - month contract ?

2gain

walking 4 / 3 of his usual rate , a boy reaches his school 4 min early . find his usual time to reach the school ?

2gain

which is the least number that must be subtracted from 1256 so that the remainder when divided by 7 , 12 , 16 is 4 ?

0general

if n is the smallest integer such that 108 times n is the square of an integer , what is the value of n ?

3geometry

of the 500 employees in a certain company , 25 percent will be relocated to city x and the remaining 75 percent will be relocated to city y . however , 40 percent of the employees prefer city y and 60 percent prefer city x . what is the highest possible number of employees who will be relocated to the city they prefer ?

2gain

the average of 1 st 3 of 4 numbers is 6 and of the last 3 are 5 . if the sum of the first and the last number is 11 . what is the last numbers ?

0general

if the cost price of 50 articles is equal to the selling price of 35 articles , then the gain or loss percent is ?

2gain

a batch of cookies was divided amomg 3 tins : 3 / 4 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 4 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin

0general

10 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ?

5other

a grocer has a sale of rs . 6400 , rs . 7000 , rs . 6800 , rs . 7200 and rs . 6500 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ?

0general

given that a is the average ( arithmetic mean ) of the first 5 positive multiples of 6 and b is the median of the first 12 positive multiples of 6 , what is the ratio of a to b ?

0general

find the compound interest on rs . 7500 at 4 % per annum for 2 years , compounded annually .

2gain

how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 13 inches than that of a rectangular sheet of paper measuring 6.5 inches by 11 inches ?

3geometry

in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,9 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ?

3geometry

if a sum of money doubles itself in 5 years at simple interest , the ratepercent per annum is

2gain

elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service . elvin ' s total telephone bill for january was $ 52 and elvin ' s total telephone bill for february was 76 $ . if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january , what is elvin ' s fixed monthly charge for internet service ?

0general

a started a business with an investment of rs . 70000 and after 9 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 76000 , then the share of b is ?

2gain

how many 7 in between 1 to 110 ?

0general

a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3000 , a will get :

1physics

a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 78000 , then the share of b is ?

2gain

if an object travels 90 feet in 3 seconds , what is the object ’ s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )

1physics

if 2 x + y = 7 and x + 2 y = 5 , then xy / 3 =

0general

there are 21 students in a class . in how many different ways can a committee of 3 students be formed ?

4probability

the average age of boys in a class is 16 years and that of the girls is 15 years . the average age for the whole class is

0general

of 800 surveyed students , 20 % of those who read book a also read book b and 25 % of those who read book b also read book a . if each student read at least one of the books , what is the difference between the number of students who read only book a and the number of students who read only book b ?

2gain

what annual payment will discharge a debt of rs . 1090 due in 2 years at the rate of 5 % compound interest ?

2gain

a man sells a car to his friend at 15 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :

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 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?

1physics

how many 0 ' s are there in the binary form of 6 * 1024 + 4 * 64 + 2

0general

what is 7 1 / 4 - 4 2 / 3 divided by 7 / 8 - 3 / 4 ?

0general

the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 225 , then the mean profit for the last 15 days would be

2gain

find out the c . i on rs . 8000 at 4 % p . a . compound half - yearly for 1 1 / 2 years

0general

jayes can eat 25 marshmallows is 20 minutes . dylan can eat 25 in one hour . in how much time will the two eat 150 marshmallows ?

1physics

how many even number in the range between 10 to 120 inclusive are not divisible by 3

0general

in the biology lab of ` ` jefferson ' ' high school there are 0.037 * 10 ^ 5 germs , equally divided among 74000 * 10 ^ ( - 3 ) petri dishes . how many germs live happily in a single dish ?

0general

the largest 4 digit number exactly divisible by 44 is ?

0general

if a certain number is divided by 2 , the quotient , dividend , and divisor , added together , will amount to 62 . what is the number ?

0general

a and b can do a work in 10 days and 15 days respectively . a starts the work and b joins him after 5 days . in how many days can they complete the remaining work ?

1physics

for the symbol , m ” n = n ^ 2 − m for all values of m and n . what is the value of 4 ” 2 ?

0general

in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1100 employees , then the no . of female employees who are computer literate ?

2gain

total 48 matches are conducted in knockout match type . how many players will be participated in that tournament ?

0general

in 130 m race , a covers the distance in 36 seconds and b in 45 seconds . in this race a beats b by :

1physics

at a certain university , 69 % of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ?

2gain

in a dairy farm , 26 cows eat 26 bags of husk in 26 days . in how many days one cow will eat one bag of husk ?

1physics

the average age of a group of n people is 14 years old . one more person aged 34 joins the group and the new average is 16 years old . what is the value of n ?

0general

the number 0.650 is how much greater than 1 / 8 ?

0general

if $ 1092 are divided between worker a and worker b in the ratio 5 : 8 , what is the share that worker b will get ?

5other

a card is drawn from a pack of 52 cards the probability of getting queen of club or aking of a heart ?

4probability

1000 men have provisions for 17 days . if 500 more men join them , for how many days will the provisions last now ?

1physics

a person travels equal distances with speeds of 3 km / hr , 4 km / hr and 5 km / hr and takes a total time of 47 minutes . the total distance is ?

1physics

if x is an integer such that 0 < x < 7 , 0 < x < 15 , 5 > x > – 1 , 3 > x > 0 , and x + 2 < 4 , then x is

0general

an error 5 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is :

2gain

1 + 1

0general

rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 150 . what is the share of rahul ?

1physics

a boat m leaves shore a and at the same time boat b leaves shore b . they move across the river . they met at 500 yards away from a and after that they met 300 yards away from shore b without halting at shores . find the distance between the shore a & b

1physics

a pineapple costs rs 7 each and a watermelon costs rs . 5 each . if i spend rs 38 on total what is the number of pineapple i purchased ?

0general

the sub - duplicate ratio of 25 : 16 is

5other

in δ pqs above , if pq = 7 and ps = 8 , then

0general

ajay can ride 50 km in 1 hour . in how many hours he can ride 1250 km ?

1physics

a boat covers a certain distance downstream in 1 hour , while it comes back in 11 â „ 2 hours . if the speed of the stream be 3 kmph , what is the speed of the boat in still water ?

1physics

in a division , a student took 87 as divisor instead of 36 . his answer was 24 . the correct answer is -

0general

what is the sum of all digits for the number 10 ^ 26 - 51 ?

0general

what is the measure of the angle w made by the diagonals of the any adjacent sides of a cube .

3geometry

what is the compound interest paid on a sum of rs . 6000 for the period of 2 years at 10 % per annum .

2gain

a fair 2 sided coin is flipped 8 times . what is the probability that tails will be the result at least twice , but not more than 8 times ?

0general

the difference between c . i . and s . i . on an amount of rs . 15,000 for 2 years is rs . 54 . what is the rate of interest per annum ?

2gain

find the compound ratio of ( 1 : 2 ) , ( 2 : 3 ) and ( 3 : 4 ) is

5other

if 1 is added to the denominator of fraction , the fraction becomes 1 / 2 . if 1 is added to the numerator , the fraction becomes 1 . the fraction is

0general

if the ratio of two number is 2 : 3 and lcm of the number is 120 then what is the number .

5other

find out the c . i on rs . 4000 at 4 % p . a . compound half - yearly for 1 1 / 2 years

0general

bert and rebecca were looking at the price of a condominium . the price of the condominium was 40 % more than bert had in savings , and separately , the same price was also 75 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings .

2gain

walking at 5 / 6 of her normal speed , a worker is 12 minutes later than usual in reaching her office . the usual time ( in minutes ) taken by her to cover the distance between her home and her office is

1physics

if 12 lions can kill 12 deers in 12 minutes how long will it take 100 lions to kill 100 deers ?

1physics

a man cycling along the road noticed that every 18 minutes a bus overtakes him and every 6 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?

1physics

x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 27000 . what will be the ratio in which they should share the profit at the end of the year ?

5other

the hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 15 miles per hour . the cyclist stops to wait 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

if x + y = 10 , x - y = 18 , for integers of x and y , x = ?

0general

wink , inc . follows a certain procedure that requires two tasks to be finished independently in order for a job to be done . on any given day , there is a 2 / 3 probability that task 1 will be completed on time , and a 3 / 5 probability that task 2 will be completed on time . on a certain day , what is the probability that task 1 will be completed on time , but task 2 will not ?

4probability

find the least number must be subtracted from 964807 so that remaining no . is divisible by 8 ?

0general

if 8 people take an hour to complete a piece of work , then how long should 16 people will take to complete the same piece of work ?

1physics

find the area of a parallelogram with base 25 cm and height 15 cm ?

3geometry

when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 6 ] * [ 4 ] = ?

0general

in a certain company , a third of the workers do not have a retirement plan . 60 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?

2gain

a bus started its journey from mumbai and reached pune in 65 min with its average speed of 60 km / hr . if the average speed of the bus is increased by 5 km / hr , how much time will it take to cover the same distance ?

0general

the mean of 50 observations is 200 . but later he found that there is decrements of 47 from each observations . what is the the updated mean is ?

0general

a bag contains 4 red , 6 blue and 3 green balls . if 3 balls are picked at random , what is the probability that both are blue ?

5other

what is 120 % of 13 / 24 of 360 ?

2gain

if a farmer sells 10 of his chickens , his stock of feed will last for 4 more days than planned , but if he buys 15 more chickens , he will run out of feed 3 days earlier than planned . if no chickens are sold or bought , the farmer will be exactly on schedule . how many chickens does the farmer have ?

0general

how many 1 / 2 s are there in 37 1 / 2 ?

0general

a , b , c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 175 , then how much amount should c pay as his share of rent ?

0general

in a box of 12 pens , a total of 6 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ?

0general

a part of certain sum of money is invested at 6 % per annum and the rest at 15 % per annum , if the interest earned in each case for the same period is equal , then ratio of the sums invested is ?

2gain

if a randomly selected non - negative single digit integer is added to { 2 , 3 , 5 , 8 } . what is the probability that the median of the set will increase but the range still remains the same ?

0general

on a sum of money , the s . i . for 2 years is $ 600 , while the c . i . is $ 630 , the rate of interest being the same in both the cases . the rate of interest is ?

2gain

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 seven - third that of the smaller circle . find the circumference of the smaller circle .

3geometry

y and z walk around a circular track . they start at 5 a . m from the same point in the opposite directions . y and z walk at a speed of 3 rounds per hour and 4 rounds per hour respectively . how many times shall they cross each other before 7 a . m

1physics

a box contains 10 black , 5 red and 4 green marbles . 3 marbles are drawn from the box at random . what is the probability that all the three marbles are of the same color ?

4probability