A wall clock gains 2 minutes in every 12 hours while a table clock loses 2 mins. every 36 hrs. Both are set right at 12 noon on Tuesday . The correct time when both show same time next woul be ?

options : (a) 1.30 at night, after 130 days

(b)12 midnight , after 135 days

(c) 12.30 at night ,after 130 days

(d) 12 noon, after 135 days

A wall clock gains 2 min in every 12 hours , so it would gain 6 min in 36 hours.
And table clock losses two min in every 36 hours .

So in every 36 hours they difference between them is 8 min.

They will be at the same time when the difference between them is 12 hours.[ as same time is required , not exact time ]
Hence 8 min  = 36 hours
So 1 min difference in 36/8 
Or 12 * 60 min difference in $\frac{36}{8}\times 12\times 60 = 3240 hours$
Or 3240 hours is 135 days.
Hence both clocks will show same time at 12 noon after 135 days.
Option d is correct.