BRAIN TRIVIA

Code breakers: find the correct 4-digit combination using the numbers 1-9, with no repeats:

  1. 4 2 3 5 - 1 digit is correct and in the correct position

  2. 8 1 7 6 - 2 digits are correct but in the wrong positions

  3. 2 7 5 1 - None of the digits are correct

  4. 4 3 2 7 - 1 digit is correct but in the wrong position

  5. 6 1 2 8 - 2 digits are correct and in the correct positions

Explanation:

Code breakers: find the correct 4-digit combination using the numbers 1-9, with no repeats:

  1. 4 2 3 5 - 1 digit is correct and in the correct position

  2. 8 1 7 6 - 2 digits are correct but in the wrong positions

  3. 2 7 5 1 - None of the digits are correct

  4. 4 3 2 7 - 1 digit is correct but in the wrong position

  5. 6 1 2 8 - 2 digits are correct and in the correct positions

From clue 3, you can remove those numbers from all of the other clues. This leaves us with:

  1. 4 2 3 5 - 1 digit is correct and in the correct position

  2. 8 1 7 6 - 2 digits are correct but in the wrong positions

  3. 2 7 5 1 - None of the digits are correct

  4. 4 3 2 7 - 1 digit is correct but in the wrong position

  5. 6 1 2 8 - 2 digits are correct and in the correct positions

From clues 2 and 5, 6 must be the first digit and 8 must be the last digit.

From clues 1 and 4, 3 must be the correct digit in the third spot.

If the final (second) digit cannot be 1, 2, 5, or 7 (from clue 3), or 3, 6, or 8 (because no digits are repeated), and it can’t be 4 (from clues 1 and 4), the second digit must be 9.

Solution:

6 9 3 8

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