Johns clock is broken The minute hand rotates around the clo

John\'s clock is broken The minute hand rotates around the clock correctly. but the hour hand is stuck in the three o\'clock position. Suppose John first looks at the clock when the hands are aligned and it shows 3:15. He looks at the clock again and sees that the hour and minute hands of the clock form the arms of an angle measuring -145 degree. Through which of the following could the minute hand have rotated to reach its current position? -35 degree -505 degree -325 degree -415 degree

Solution

Given data,

The hour hand is stuck at 3\'0 clock position.

The hour hand and minute hand are aligned at 3.15.

The angle between hour hand and minute hand is -145.

To reach its current position minute hand has to move -360.

So, total angle made by minute hand is -360-145=-505

Option 2 is the correct one.