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Q144 (IAS/1998) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics Answer Verified

An accurate clock shows the time as 3.00. After hour hand has moved 135°, the time would be

Result
Your answer: —  ·  Correct: A
Explanation

An analog clock’s hour hand completes 360° in 12 hours, so it moves 30° per hour (360°/12 = 30°). At 3:00 the hour hand is at the 3 mark, i.e., 90° from 12. After it moves an additional 135°, its absolute position measured from 12 becomes 90° + 135° = 225°. Converting 225° into hours: 225° ÷ 30° per hour = 7.5 hours, i.e., 7 hours 30 minutes. Starting from 12:00 this is 7:30, and from the given 3:00 adding the 4.5 hours (135°/30° = 4.5 h) also yields 7:30. Therefore the correct choice is 7:30.

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