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Q62 (CAPF/2025) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics Answer Verified

A clock is set right at 8:00 AM in the morning. The minute hand and the hour hand of the clock come together after every 65 minutes. What is the actual time when the clock shows 8:00 PM, approximated to the nearest minutes?

Result
Your answer: —  ·  Correct: C

Explanation

In a standard, accurate clock, the minute and hour hands coincide every 65 5/11 minutes (approximately 65.45 minutes). In this specific clock, the hands meet every 65 minutes. Since the coincidence happens earlier than it should, the clock is running fast.

To find the actual time passed, we use the ratio of the faulty interval to the standard interval:

  • Actual Time / Clock Time = 65 / (65 5/11) = 65 / (720/11) = (65 × 11) / 720 = 715 / 720

The clock shows 8:00 PM, which means 12 hours (or 720 minutes) have elapsed on the clock face since 8:00 AM.

Actual time elapsed = 720 × (715 / 720) = 715 minutes.

715 minutes is equal to 11 hours and 55 minutes. Adding 11 hours and 55 minutes to 8:00 AM results in an actual time of 7:55 PM.

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