Multiple choice

If a clock shows 8 o'clock, then the angle between the two hands is-

  1. $240^\circ$
  2. $120^\circ$
  3. $145^\circ$
  4. $125^\circ$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

At 8 o'clock, the hour hand is at 240° (8 × 30°) and the minute hand is at 0°. The angle between them is 240°. However, we take the smaller angle, which is 360° - 240° = 120°. The minute hand moves 360° in 60 minutes (6° per minute), and the hour hand moves 30° in 60 minutes (0.5° per minute). At exactly 8:00, the angle is 120°.