UGC NET Paper 1 GA 2007 Dec Solved Paper

At 3’O Clock the minutes hand will be 15 minute away from hours hand.
both hands are opposite when they are 30 minutes away from each other.
So, minute hand has to gain 45 minutes.
Minute hand take 60 minutes to gain 55 minutes.
Time taken to gain 1 minute $=\frac{60}{55}=\frac{12}{11}$
Time take by minute hand to gain 45 minutes $=\frac{12}{11}\times 45=49\frac{1}{11}$ ≈ 50 minutes
Required Time = 50 minutes Past three.