Mastermind

You must find a 3-digit number. You know that:

  • 682 shares one digit with the number, and it is well placed
  • 614 shares one digit with the number, but it is wrong placed
  • 296 shares two digits with the number, but they are wrong placed

What is the number?


The first and second clues imply that the 6 is not part of the number. The third clue then implies that 2 and 9 are parts of the number. Now the first clue implies that 2 is the last digit of the number, and the third clue implies that 9 is the first digit of the number. Finally, the second clue implies that 4 is the second digit of the number.

Therefore, the number is 942.