At 3:06, the hour hand and minute hand of a clock form an angle of:

The correct answer is Option (3) → 57°

Both hands are measured as angles from the 12. The minute hand turns 6° a minute (360° in 60 minutes), and the hour hand turns 30° an hour, that is, 0.5° a minute, so it has moved on from the 3 by the 6 minutes past.

• Hour hand: \(3\times30^\circ+6\times0.5^\circ=90^\circ+3^\circ=93^\circ\)

• Minute hand: \(6\times6^\circ=36^\circ\)

• Angle between them: \(93^\circ-36^\circ=57^\circ\)