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

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

1 Answer

127 votes

(D) The identities of $P$. $Q$ cannot be determined

127 votes

127