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?
(A) Both P and Q are knights
(B) $\mathrm{P}$ is a knight; $\mathrm{Q}$ is a knave
(C) Both $\mathrm{P}$ and $\mathrm{Q}$ are knaves
(D) The identities of $P$. $Q$ cannot be determined

Question ID - 156787 | SaraNextGen Top Answer

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?
(A) Both P and Q are knights
(B) $\mathrm{P}$ is a knight; $\mathrm{Q}$ is a knave
(C) Both $\mathrm{P}$ and $\mathrm{Q}$ are knaves
(D) The identities of $P$. $Q$ cannot be determined