Multiple choice general knowledge math & puzzles

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?

  1. 4:21:49.5

  2. 4:27:49.5

  3. 3:21:49.5

  4. 4:21:44.5

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

At 4:00, the hour hand is at 120° and the minute hand is at 0°. The minute hand moves at 6°/minute while the hour hand moves at 0.5°/minute, so the minute hand gains 5.5° per minute on the hour hand. To align, it must gain 120°. Time = 120/5.5 = 21.8181 minutes = 21 minutes 49.09 seconds. Option A (4:21:49.5) is the closest approximation.