The minute hand has moved 30° from 12 o'clock
The hour hand at 3 o'clock is 90° from 12 o'clock
And It moves 30° every hour....so...in 5 minutes....it would have moved (1/12) of 30° = [30/12]° =
(5/2)° = 2.5°
So......the [lesser] angle between the minute and hour hand at 3:05 is
[ 90 + 2.5] - 30 = 62.5°