What is the angle between the minute hand and hour hand when the clock shows 4:25 hours?

What is the angle between the minute hand and hour hand when the clock shows 4:25 hours?
  1. 12.5°
  2. 15°
  3. 17.5°
  4. 20°

Solution

The minute hand moves 6° per minute, so at 25 minutes it is at $25 \times 6 = 150°$. The hour hand moves 0.5° per minute; at 4 hours 25 minutes = 265 minutes it is at $265 \times 0.5 = 132.5°$. The angle between them = $150° - 132.5° = 17.5°$.

Asked in: CSAT 2024

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