Life Mathematics

If one quantity increases it makes other quantity corresponding increase, then they are said to be in
1. Direct proportion
2. Inverse proportion
3. Equal proportion
4. None
If one quantity increases it makes other quantity decrease, then they are said to be in
1. Direct proportion
2. Inverse proportion
3. Equal proportion
4. None
Vary directly
1. x + y = k
2. x - y = k
3. x y = k
4. x / y = k
Vary inversely
1. x + y = k
2. x - y = k
3. xy = k
4. x / y = k
If we travel with less speed, the time taken to cover a given distance will be more. this is example of
1. Direct proportion
2. Inverse proportion
3. Equal proportion
4. None of these
The growth of a giraffe over time is an example for
1. Direct proportion
2. Inverse proportion
3. Direct - Inverse
4. Direct - Direct
see-saw is an example for
1. Direct proportion
2. Inverse proportion
3. Direct - Inverse
4. Inverse - Direct
If 3 persons A, B and C can do a work in x, y and z days respectively, then the ratio in which their wages will be distributed to them is
1. x : y : z
2. x : 1/y : z
3. 1/x : 1/y : 1/z
4. 1 : 1/y : 1/z
If x and y vary directly and x = 24 when y = 12, find x when y = 8
1. 4
2. 8
3. 16
4. 32
If x and y vary directlyly and x = 18 when y = 54, find x when y = 36
1. 9
2. 10
3. 11
4. 12
A student can type 12 pages in 15 minutes. At the same rate, how long will it take the student to type 36 pages?
1. 30 mins
2. 40 mins
3. 45 mins
4. 50 mins
There will be problems which may involve a chain of two or more variations in them.This is called as
1. Simple variation
2. Compound variation
3. Simple - Compound variation
4. None of these
When the number of days is constant, work and persons are ______ to each other
1. directly proportional
2. inversely proportional
3. both
4. None of these
When the work is constant, the number of persons and days are ____ to each other
1. direct proportional
2. inversely proportional
3. both
4. none
If two persons X and Y can do some work individually in a and b days, then their one day’s work is
1. a,b
2. a+b
3. 1/a , 1/b
4. 1/a + 1/b
a & b one day’s work together 1/a + 1/b =
1. ab / (a+b)
2. (a+b) / a
3. (a+b) / b
4. (a+b) / ab
Days for X and Y together can complete the work
1. ab / (a+b)
2. (a+b) / a
3. (a+b) / b
4. (a+b) / ab
If x women or y men can complete a piece of work in p days, then a women and b men can complete the same work in
1. xyp / (xy+ab)
2. ab / (a+b)
3. xyp / (xb+ya)
4. (a+b) / ab
A car covers a distance of 408 km in 51 litres of petrol. How much distance would it cover in 30 litres of petrol?
1. 180 km
2. 210 km
3. 240 km
4. 270 km
If 15 men take 40 days to complete a work, how long will it take if 15 more men join them to complete the same work?
1. 10 days
2. 15 days
3. 20 days
4. 25 days
If the ratio of the time taken by A and B in doing a work is x : y, then the ratio of work done by A and B is
1. 1/x : 1/y = x : y
2. 1/x : y = x : 1/y
3. x : 1/y = 1/x : y
4. 1/x : 1/y = y : x
If 15 men take 40 days to complete a work, how long will it take if 15 more men join them to complete the same work?
1. 15 days
2. 20 days
3. 25 days
4. 30 days
A and B together can do a piece of work in 16 days and A alone can do it in 48 days. How long will B done take to complete the work?
1. 20 days
2. 22 days
3. 24 days
4. 26 days
A and B together can do a piece of work in 8 days and A alone can do it in 24 days. How long will B done take to complete the work?
1. 10 days
2. 11 days
3. 12 days
4. 13 days
If 10 men take 40 days to complete a work, how long will it take if 30 more men join them to complete the same work?
1. 10 days
2. 20 days
3. 15 days
4. 25 days
X, Y and Z can do a piece of job in 4, 6 and 10 days respectively. If X,Y and Z work together to complete, then find X's shares if they will be paid ` 3100 for completing the job.
1. Rs. 600
2. Rs. 1000
3. Rs. 1500
4. Rs. 1200
6 women or 8 men can construct a room in 86 days. How long will it take for 7 women and 5 men to do the same type of room?
1. 12 days
2. 24 days
3. 36 days
4. 48 days
If 48 men working 7 hours a day can do a work in 24 days, then in how many days will 28 men working 8 hours a day can complete the same work?
1. 12 days
2. 24 days
3. 36 days
4. 48 days
24 men can make 48 articles in 12 days. Then, 6 men can make how many articles in 6 days.
1. 4 days
2. 5 days
3. 6 days
4. 7 days