The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only).
So, in a day, the hands point in the opposite directions 22 times.
Angle traced by hour hand in 12 hrs = 360º.
Angle traced by hour hand in 5 hrs 10 min. i.e., 31/6 hrs = = 155º
Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours.
The Watch gains min. or min.in 170 hrs.
Now, min.are gained in 170 hrs.
2 min.are gained in hrs=50 hrs
Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.e., it will be correct at 2 p.m. on Wednesday
Angle traced by hour hand in 12 hrs. = 360º.
Angle traced by it in 11/3 hrs= =
Angle traced by minute hand in 60 min. = 360º.
Angle traced by it in 40 min. =(360/60*40) =240
Required angle (240 - 110)º = 130º.
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