At what time do the hands of the clock show a mirror image of 4:10?

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At what time do the hands of the clock show a mirror image of 4:10?

  1. A.

    7:10

  2. B.

    7:40

  3. C.

    7:50

  4. D.

    8:10

Show answer & explanation

Correct answer: C

Concept: A clock's reflection in a mirror flips its face about the vertical 12-6 axis. Because of this symmetry, the actual time and its mirror-image time always sum to 12:00 (11 hours 60 minutes) — so the mirror time is found as 11:60 minus the actual time.

  1. The actual time shown is 4:10.

  2. Apply the mirror-image identity: mirror time = 11:60 minus 4:10.

  3. Subtract the minutes first: 60 minus 10 equals 50 minutes.

  4. Subtract the hours: 11 minus 4 equals 7 hours.

  5. Combine the hour and minute parts: mirror time = 7:50.

Cross-check: adding the actual time and the mirror time gives 4:10 + 7:50 = 12:00, confirming the pair is a valid mirror-image match.

So the hands of the clock show a mirror image of 4:10 at 7:50.

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