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Memory-recall logic for license plates: using group-agreement clues (starts with J; ends with 12L per three observers; three think second letter is X; a different three think third letter is K), choose the plate most consistent with the witnesses’ statements.

Difficulty: Medium

Correct Answer: JXK 12L

Explanation:

Pick the candidate that satisfies the majority-agreement constraints simultaneously.


  • Given data
    All: starts with J.Three: ends with 12L.Three: second letter is X.A different three: third letter is K.

Concept/Approach
Find the option matching start/end and placing X in position 2 and K in position 3, explaining both majority beliefs.
Step-by-Step evaluation
1) Check 'JXK 12L': J✓, second = X✓, third = K✓, ends 12L✓ — meets all majority claims.2) 'JYK 12L': second ≠ X (fails), though end and third K fit.3) 'JXK 12I': end ≠ 12L (fails), despite second X and third K.4) 'JXX 12L': third ≠ K (fails), although start/end OK.
Verification/Alternative
The single plate explaining all majority observations is 'JXK 12L'.
Common pitfalls
Accepting a plate that satisfies only some of the witness constraints (e.g., correct ending but wrong internal letters).
Final Answer
JXK 12L
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