This question evaluates deductive logical reasoning and propositional truth-value analysis, specifically testing the ability to identify logically consistent role assignments under knights-and-knaves truth constraints. It is commonly asked in the Statistics & Math domain to probe formal logic and contradiction detection, emphasizing conceptual understanding rather than practical implementation.
On an island, each person is either:
You meet two people, A and B. B says to A: “You always lie.”
Evaluate the logical consistency of each possible assignment of roles to A and B:
(a) A is Knave; B is Knight
(b) A is Knight; B is Knave
(c) A is Knave; B is Knave
(d) A is Knight; B is Knight
Determine which assignment(s) are logically consistent and explain why.
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