UPSC CSE 2024 · PYQ · Clocks / Angles · easy
What is the angle between the minute-hand and hour-hand when the clock shows 4:25 hours?
Answer
The correct answer is C: 17.5°. Angle of hour-hand from 12 = 30°·H + 0.5°·M = 30·4 + 0.5·25 = 120 + 12.5 = 132.5°. Angle of minute-hand from 12 = 6°·M = 6·25 = 150°.
- A.12.5°
- B.15°
- C.17.5°✓ Correct
- D.20°
Angle of hour-hand from 12 = 30°·H + 0.5°·M = 30·4 + 0.5·25 = 120 + 12.5 = 132.5°. Angle of minute-hand from 12 = 6°·M = 6·25 = 150°. Difference = 150 − 132.5 = 17.5°.
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