Explanation:

The correct clock's minute hand gains over its hour hand in actual 65 minutes = 55/60 × 65

The incorrect clock's minute hand gains over its hour hand in actual 65 minutes = 60 minutes.

So the net gain of the incorrect clock over the correct clock in actual 65 minutes = 60 − 55/60 × 65=5/12

So the net gain in 12 hours is 5/11 × 60 × 12/65 = 720/143 minutes.

Hence, option 4 is the correct answer.