BRAIN TRIVIA

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

  1. 3 9 4 7 - 1 digit is correct and in the correct position

  2. 5 1 6 8 - 3 digits are correct but all in the wrong positions

  3. 7 2 5 9 - None of the digits are correct

  4. 2 8 9 4 - 1 digit is correct and in the correct position

Explanation:

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

  1. 3 9 4 7 - 1 digit is correct and in the correct position

  2. 5 1 6 8 - 3 digits are correct but all in the wrong positions

  3. 7 2 5 9 - None of the digits are correct

  4. 2 8 9 4 - 1 digit is correct and in the correct position

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

  1. 3 9 4 7 - 1 digit is correct and in the correct position

  2. 5 1 6 8 - 3 digits are correct but all in the wrong positions

  3. 7 2 5 9 - None of the digits are correct

  4. 2 8 9 4 - 1 digit is correct and in the correct position

From clue 2, we know 1, 6, and 8 are all in the code.

From clue 4, because 8 is in the code (from clue 2), 4 can’t be. That means 8 must be in its correct spot. The second digit is 8.

From clue 1, since 4 isn’t in the code, 3 must be correct and in the right spot. So the first digit is 3.

That leaves 1 and 6 for the last two spots. From clue 2, 6 can’t be in the third spot, so 6 is the last digit and 1 is the third digit. 🔓

Solution:

3 8 1 6

How was this week's brain teaser?

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