Determine knights and knaves roles

Q: Determine knights and knaves roles

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.

Q: How do I approach Statistics & Math interview questions?

Statistics & Math questions require understanding of core concepts and practice. PracHub provides solutions with explanations to help you master statistics & math interviews.

Question

Knights and Knaves Logic Puzzle

Context

On an island, each person is either:

Knight: always tells the truth.
Knave: always lies.

You meet two people, A and B. B says to A: “You always lie.”

Task

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.

Determine knights and knaves roles

Knights and Knaves Logic Puzzle

Context

Task

Solution

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