At what angle are the hands of a clock inclined at 16 minutes past 4?

The correct answer is Option (3) → 32°

Measured clockwise from 12, the minute hand moves 6° a minute (360° in 60 minutes) and the hour hand 0.5° a minute (30° in 60 minutes), on top of 30° for each full hour.

• Hour hand at 4:16: \(4\times30+16\times0.5=120+8=128^\circ\)

• Minute hand at 16 minutes: \(16\times6=96^\circ\)

• Angle between them: \(128-96=32^\circ\)

Tip: At H hours M minutes the angle between the hands is \(\left|30H-5.5M\right|\) degrees; here \(\left|120-88\right|=32^\circ\). If the result is more than 180°, subtract it from 360°.