Correct option: B. 2:00 pm on Tuesday
Explanation:
From Sunday noon to the following Sunday at 2 pm there are 7 days 2 hours or 170 hours. The watch gains 2 + 4 4/5 = 34/5 minutes in 170 hrs. Therefore, the watch gains 2 minutes in 2 x 5/34 x 170 = 50 hours. Now, 50 hours means 2 days and 2 hours. 2 days and 2 hours from Sunday noon would be 2 pm on Tuesday.