Multiple choice general knowledge math & puzzles

At noon the hour, minute, and second hands coincide. In about one hour and five minutes the minute and hour hands will coincide again. What is the exact time (to the millisecond) when this occurs, and what angle will they form with the second hand?(Assume that the clock hands move continuously.)

  1. 1:05:27,273 & 131 degrees.

  2. 1:08:27,286 & 135 degrees.

  3. 1:02:23,595 & 128 degrees.

  4. 1:00:20,235 & 130 degrees.
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A Correct answer
Explanation

The minute and hour hands coincide at intervals of exactly 12/11 hours, which is 1 hour, 5 minutes, and 27.273 seconds. At this exact time, the second hand is at 27.273 seconds, which corresponds to an angle of approximately 131 degrees from the other two hands.

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