[A= Knight, B= Spy, C = Kn...] On the fabled Island of Knights and Knaves, we meet three people, A, B, and C, one of whom is a knig

For Competitive Exams

On the fabled Island of Knights and Knaves, we meet three people, A, B, and C, one of whom is a knight, one a knave, and one a spy. The knight always tells the truth, the knave always lies, and the spy can either lie or tell the truth.A says: "C is a knave."B says: "A is a knight."C says: "I am the spy."Who is the knight, who the knave, and who the spy?

A= Knight, B=Knave , C = Spy

A=Spy , B= Knight, C = Knave

A=Knave , B= Spy, C = Knight

A= Knight, B= Spy, C = Knave

Explanation:

Let us say A is Knight and speaks truth. So C is Knave and B is spy. So Cs statement is false and Bs statement is true. This case is possible.
Let us say B is Knight. This is not possible as A also becomes Knight as B speaks truth.
Let us say C is Knight. This is clearly contradicted by Cs statement itself.

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