MYSTERY CODE
Crack the 3-digit code. All three digits are different.
WHAT’S THE CODE?
Clues
- 412One digit is correct and in the right place.
- 043One digit is correct but in the wrong place.
- 763Two digits are correct, both in the wrong places.
- 750No digit is correct.
- 689One digit is correct but in the wrong place.
Answer
316
Why it works
In 689, 6 is the one correct but misplaced digit, so 8 and 9 are absent. Since 6 cannot be first or second, it is third, leaving 3 first. The code is 316.
- 750 rules out 7, 5, and 0.
- With 7 eliminated, 763 means 6 and 3 are in the code, but 6 is not second and 3 is not third.
- With 0 eliminated, 043 means 3 is the one correct digit and it is misplaced, so 4 is not in the code.
- In 412, 4 is absent, so 1 is correct in the middle position and 2 is absent.
- In 689, 6 is the one correct but misplaced digit, so 8 and 9 are absent. Since 6 cannot be first or second, it is third, leaving 3 first. The code is 316.