Mathematics Mcqs for PPSC, FFPS, NTS

If the ratio of the speeds of A and B to cover a distance of 200 m is 3:4, then the ratio of the time taken to cover the same distance is________?

A. 6:8
B. 3:7
C. 5:4
D. 4:3

A car can travel 360km with a ¾ full tank. How many km can it travel with a 2/3 full tank?

A. 400
B. 320
C. 240
D. 300

A boatsman can row in still water at speed of 7 km/hr. It takes 6 hours more to travel the same distance upstream than downstream if the speed of the river is 3 km/hr. what is the distance between the two destinations?

A. 20 km
B. 40 km
C. 30 km
D. 10 km

P takes twice as much time as Q or thrice as much time as R to finish a piece of work. They can finish the work in 2 days if work together. How much time will Q take to do the work alone?

A. 7
B. 8
C. 9
D. 6
Let P takes x days to complete the work
Then Q takes x/2 days and R takes x/3 days to finish the work
Amount of work P does in 1 day = 1/x
Amount of work Q does in 1 day = 2/x
Amount of work R does in 1 day = 3/x
Amount of work P,Q and R do in 1 day = 1/x + 2/x + 3/x = 1/x (1 + 2 + 3) = 6/x
6/x = 2
=> x = 12
=> Q takes 12/2 days = 6 days to complete the work

3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work?

A. 50
B. 30
C. 40
D. 13

P, Q, and R can do work in 20, 30, and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?

A. 10 days
B. 14 days
C. 15 days
D. 9 days

A tank can be filled by a pipe in 20 min. and by another pipe in 60 min.  Both the pipes are kept open for 10 min. and then the first pipe is shut off.  After this, the tank will be completely filled in__________?

A. 10 min
B. 20 min
C. 30 min
D. 40 min

f the length and width of a rectangular grand are each increased by 20% then what would be the percent increase in the area of the garden?

A. 20%
B. 24%
C. 36%
D. 44%

The length of a rectangular plot is increased by 25%. To keep it’s area uncharged the width of the plot should be___________?

A. Kept unchanged
B. Increased by 25%
C. Increased by 20%
D. Reduced by 20%

The length of a rectangular plot is twice its breadth. If the area of the rectangular plot is 6075 sq. meters .what is its length?

A. 45m
B. 75m
C. 135m
D. None of these