Multiple choice general knowledge math & puzzles

The angle between the minute hand and the hour hand of a clock, when the time is 8.30

  1. 800

  2. 600

  3. 1050

  4. 750
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D Correct answer
Explanation

At 8:30, the hour hand is halfway between 8 and 9 (at 255° from 12, or 8.5 × 30 = 255°). The minute hand points at 6 (180° from 12). The angle between them is 255 - 180 = 75°. This is the smaller angle between the hands.

AI explanation

At 8:30, the minute hand is exactly on the 6, i.e., at 180° from the 12. The hour hand at 8:30 is halfway between 8 and 9, at 8×30° + 0.5×30° = 255°. The angle between them is 255° - 180° = 75°.

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