Correct option is A
Solution:
Step 1: Eliminate impossible digits From 7 3 8 → nothing is correct, digits 7, 3, 8 are not in the PIN.
Step 2: Use clue (7 8 0) Since 7 and 8 are eliminated, 0 is correct but wrongly placed. Here, 0 is in the 3rd position, so 0 is not in position 3.
Step 3: Use clue (6 8 9) Digit 8 is eliminated, so either:
· 6 is correct and in position 1, or
· 9 is correct and in position 3
Step 4: Check clue (9 0 6 → two correct, wrongly placed) If 6 were correct in position 1, then 0 would have no possible place (it cannot be in positions 2 or 3), causing a contradiction. So 6 is not correct.
Therefore, 9 is correct and in position 3.
Step 5: Fix position of 0 From:
· 0 is not in position 3 (Step 2)
· 0 is not in position 2 (from 9 0 6, wrongly placed)
So, 0 must be in position 1.
PIN so far: 0 _ 9
Step 6: Use clue (6 1 5) 6 is eliminated. So either 1 or 5 is correct but wrongly placed.
If middle digit were 1, it would be correctly placed (contradiction). So middle digit = 5.
Correct Answer: (a) 059
