MYSTERY CODE
Crack the 3-digit code. All three digits are different.
WHAT’S THE CODE?
Clues
- 637One digit is correct and in the right place.
- 263One digit is correct but in the wrong place.
- 759Two digits are correct, both in the wrong places.
- 201No digit is correct.
- 094One digit is correct but in the wrong place.
Answer
935
Why it works
With 0 absent, 094 confirms that 9 is present but not second, while 4 is absent. Therefore 9 is first and 5 is third, giving 935.
- 201 rules out 2, 0, and 1.
- In 263, exactly one of 6 or 3 is present and misplaced.
- The possibility that 6 is the correct first digit in 637 leads to no available position for 9 after applying 759 and 094, so 6 is absent. Therefore 3 is correct in the middle position in 637, and 7 is absent.
- With 7 absent, 759 means 5 and 9 are both present but misplaced. So 5 is not second and 9 is not third.
- With 0 absent, 094 confirms that 9 is present but not second, while 4 is absent. Therefore 9 is first and 5 is third, giving 935.