Find the correct number lock code from the four clues, each with a 3 digit code and hints on correct digits and their placements. Apply logic analysis.

The 3 digit number lock puzzle with 4 clues including 368

Find the 3 digit code from the four clues to unlock the number lock:

Clue 1: Code 3 6 8 : One digit right and in right position.

Clue 2: Code 3 8 7 : Nothing is correct.

Clue 3: Code 2 7 6 : One digit right but wrongly placed.

Clue 4: Code 4 7 1 : Two digits right but wrongly placed.

Solution to 3 digit number lock puzzle with 4 clues including 368

Step 1: Identify the first right digit

From Clue 1 and Clue 2, digit 6 is correct.

Clue 1: Code 3 6 8 : One digit right and in right position.

Clue 2: Code 3 8 7 : Nothing is correct.

From Clue 2, digits 3 and 8 are wrong and also appear in Clue 1.

Digit 6 is the single correct digit in Clue 1 and takes up the 2nd position.

Step 2: Identify two more incorrect digits

From Clue 3 identify digits 2 and 7 as incorrect.

Clue 3: Code 2 7 6 : One digit right but wrongly placed.

As digit 6 is already identified as correct, the rest, digits 2 and 7 must be incorrect.
Identify the rest of two correct digits and crack the code
From Clue 4 identify digits 1 and 4 as correct.

Clue 4: Code 4 7 1 : Two digits right but wrongly placed.

With digit 7 already identified as wrong, the rest, digits 1 and 4 must be correct but both in wrong positions.
As second position is already taken up by digit 6, they must interchange positions. Digit 1 takes first position and digit 4 third.

 

Solution: Code to open the lock is 1 6 4.