All people in a certain island are either ‘Knights’ or ‘Knaves’ and each…

GATE · 2017 · ME · Set 2 · General Aptitude

All people in a certain island are either ‘Knights’ or ‘Knaves’ and each person knows every other person’s identity. Knights NEVER lie, and knaves ALWAYS lie.

P says “Both of us are knights”. Q says “None of us are knaves”.

Which one of the following can be logically inferred from the above?

  1. A.

    Both P and Q are knights

  2. B.

    P is a knight; Q is a knave

  3. C.

    Both P and Q are knaves

  4. D.

    The identities of P, Q cannot be determined

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