Correct Answer - Option 3 : 10.08 AM
The Watched will beep together at the time of their Least Common Multiple (LCM).
Watch X beeps at = 30 sec
Watch Y beeps at = 32 sec
They beep together at = 10.00 AM
LCM of (30 & 32) = 480 sec
And X and Y will beep together after 480 sec or 8 minutes.
So Next beep time = 10.08 AM