The time on my clock has just changed to 03:45, showing four different digits.How long will it be until the next time the display shows four completely different digits, none of which is the same as those above?

Correct answer: D. 12 hours 42 minutes

  • A. 3 hours 12 minutes
  • B. 9 hours 22 minutes
  • C. 12 hours 22 minutes
  • D. 12 hours 42 minutes

Explanation

To solve this problem, start by identifying the digits in the current time: 03:45, which are 0, 3, 4, and 5. The next step is to find the earliest time where the digits do not overlap with these four. After checking sequentially, 12:42 is the first time that meets the criteria with the digits 1, 2, 4, and 7. Therefore, it takes 12 hours and 42 minutes to reach this time. The other options either include digits from the original set or do not occur soon enough.

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