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Mathematics — CBSE Class 10 board question

Q1. [1]
The hour-hand of a clock is 6 cm long. The angle swept by it between 7:20 a.m. and 7:55 a.m. is:
  1. (a) $\frac{35}{4}°$
  2. (b) $\frac{35}{2}°$
  3. (c) $35°$
  4. (d) $70°$
Previously asked in CBSE board exam
2023 30/2/1 Q13
Generated by claude-sonnet-4-6 · 2026-06-15 10:37 · grounding rag
Model Answer

The hour-hand moves 360° in 12 hours = 0.5° per minute. Time elapsed = 35 minutes. Angle swept = 35 × 0.5° = 17.5° = 35/2°.

(b) $\dfrac{35}{2}°$

Explanation

The hour-hand completes 360° in 12 hours (720 minutes), so it moves 360/720 = 0.5° per minute. From 7:20 to 7:55 is 35 minutes, giving 35 × 0.5° = 35/2°. The length of the hand (6 cm) is a distractor — it is irrelevant when only the angle is asked.

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