Can you open the lock using these clues? 682 one digit is right and in its place 614 one digit is right but in the wrong place 206 two digits are right but both are in the wrong place. 738 all digits are wrong. 380 one digit is right but in the wrong place

Question

Mathematics

Liana Hebert

1 October, 19:11

Can you open the lock using these clues? 682 one digit is right and in its place 614 one digit is right but in the wrong place 206 two digits are right but both are in the wrong place. 738 all digits are wrong. 380 one digit is right but in the wrong place

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Answers (1)

Know the Answer?

Neil Hendrix · Answer 1

Answer: 042

Step-by-step explanation:

The fourth clue eliminates 7, 3 and 8 as possibilities, the fifth clue means that 0 is the correct number but in the wrong position. The third clue indicates that the right digits, including the 0, are in the wrong place. That means the 0 must be the first number of the code.

Based on the first and second clues, the 6 must be eliminated as a possibility because it's in the same place in both clues, but one clue says it's in the right place and the other clue says it's in the wrong place. So by looking at the first clue, we can determine that 6 and 8 are both eliminated (the 8 due to the fourth clue), meaning that the 2 is right and in its place.

The final number can be solved using the second clue. Because the digit remaining to be solved is the second digit, the answer must be 4 and not 1. The digit is right but in the wrong place, so it can't be 1, which is already in the middle, so it must be 4, meaning the full answer is 042.