This is a logic puzzle where you need to deduce a 4-digit code based on clues Clue 1 (9 2 8 5): one number is correct but wrongly placed. Clue 2 (1 9 3 7): Two numbers are correct but wrongly place

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Claude-3-Sonnet ·

This is a logic puzzle where you need to deduce a 4-digit code based on clues

Clue 1 (9 2 8 5): one number is correct but wrongly placed.

Clue 2 (1 9 3 7): Two numbers are correct but wrongly placed.

Clue 3 (5 2 0 1): One number is right and well placed.

Clue 4 (6 5 0 7): nothing is correct.

Clue 5 (8 5 2 4): Two numbers are correct but wrongly placed.

Can you crack the code?

Claude-3-Sonnet

Poe

To solve this logic puzzle, we need to analyze the clues and deduce the possible combinations of digits that satisfy the given conditions.

Given:

The code is a 4-digit number.
Clue 1: One number is correct but wrongly placed.
Clue 2: Two numbers are correct but wrongly placed.
Clue 3: One number is right and well-placed.
Clue 4: Nothing is correct.
Clue 5: Two numbers are correct but wrongly placed.

Step 1: Identify the correctly placed digit from Clue 3.
Since one number is right and well-placed in the code (5 2 0 1), we can deduce that the digit '0' is in the correct position.

Step 2: Analyze Clue 4 to eliminate incorrect digits.
According to Clue 4 (6 5 0 7), none of the digits (6, 5, 0, 7) are correct. This means that the remaining digits (1, 2, 3, 4, 8, 9) are part of the code.

Step 3: Use Clues 1, 2, and 5 to determine the correctly placed digits and their positions.
From Clue 1 (9 2 8 5), one of the digits (2, 8, or 5) must be in the code but in the wrong position.
From Clue 2 (1 9 3 7), two of the digits (1, 9, or 3) must be in the code but in the wrong positions.
From Clue 5 (8 5 2 4), two of the digits (8, 5, 2, or 4) must be in the code but in the wrong positions.

Considering all the clues, the possible combinations that satisfy the conditions are:

2081 (Clue 3 satisfied, 2 and 8 correctly placed but wrongly positioned)
2108 (Clue 3 satisfied, 2 and 1 correctly placed but wrongly positioned)
2180 (Clue 3 satisfied, 2 and 1 correctly placed but wrongly positioned)
2810 (Clue 3 satisfied, 2 and 8 correctly placed but wrongly positioned)

Step 4: Verify the solution against all the clues.
Let's check each solution against all the clues:

2081:
Clue 1 (9 2 8 5): Satisfies the condition (8 is correct but wrongly placed).
Clue 2 (1 9 3 7): Satisfies the condition (1 and 9 are correct but wrongly placed).
Clue 3 (5 2 0 1): Satisfies the condition (0 is right and well-placed).
Clue 4 (6 5 0 7): Satisfies the condition (nothing is correct).
Clue 5 (8 5 2 4): Satisfies the condition (8 and 2 are correct but wrongly placed).

Therefore, the 4-digit code is 2081.

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