Brainteaser Answer 14:
Did you think the answer was 0? You are not alone!
Most people rush into answering the question and forget that the hour hand moves too; at 3.15, it will actually be a quarter of the way between 3 and 4 (because a quarter of an hour has gone by).
To calculate the answer…
You know that the entire clock is 360°
The number of degrees between 3 and 4 will be a 12th of that.
360°/ 12 = 30°
And the hour hand will have traveled one quarter of the way between that 30°
30/ 4 = 7.5°
So if the minute hand is at 3, then the distance between both hands is actually 7.5°
- Anthony Hughes