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Q105 (IAS/2002) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics Answer Verified

The time in the wall-clock is 3.25 the acute angle between the hours-hand and the minutes-hand is

Result
Your answer: —  Â·  Correct: C
Explanation

Compute positions of the two hands. The minute hand at 25 minutes is at 25 × 6° = 150°, because the minute hand moves 6° per minute. The hour hand at 3:25 is at 3 × 30° + 25 × 0.5° = 90° + 12.5° = 102.5°, since the hour hand moves 30° per hour and 0.5° per minute. The acute angle between them is the absolute difference: |150° − 102.5°| = 47.5°. Equivalently, the clock-angle formula Angle = |30H − 5.5M| gives |30×3 − 5.5×25| = 47.5°. Therefore the correct choice is option 3 (47.5°).

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