Correct Answer - Option 3 : 10.08 AM

**Concept:**

The Watched will beep together at the time of their Least Common Multiple (LCM).

**Calculation:**

**Given:**

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**