A very special island is inhabited by only knights and knaves. Knights always te

Question

A very special island is inhabited by only knights and knaves. Knights always tell the truth, and knaves always lie. The following 8 scenarios all take place on this special island. In all the scenarios you are asked to determine who the knights are. 1. You meet two inhabitants: Zoey and Mel. Zoey tells you that Mel is a knave. Mel says, 'Neither Zoey nor I are knaves.' So who is a knight? 2. You meet two inhabitants: Peggy and Zippy. Peggy tells you that 'of Zippy and I, exactly one is a knight'. Zippy tells you that only a knave would say that Peggy is a knave. So who is a knight? 3. You meet two inhabitants: Sally and Zippy. Sally claims, 'I and Zippy are not the same.' Zippy says, 'Of I and Sally, exactly one is a knight.' So who is a knight? 4. You meet two inhabitants: Homer and Bozo. Homer tells you, 'At least one of the following is true: that I am a knight or that Bozo is a knight.' Bozo claims, 'Homer could say that I am a knave.' So who is a knight? 5. You meet two inhabitants: Sally and Zippy. Sally claims, 'I and Zippy are not the same.' Zippy says, 'Of I and Sally, exactly one is a knight.' So who is a knight? 6. You meet two inhabitants: Bob and Betty. Bob claims that Betty is a knave. Betty tells you, 'I am a knight or Bob is a knight.' So who is a knight? 7. You meet two inhabitants: Zed and Alice. Zed tells you, 'Alice could say that I am a knight.' Alice claims, 'It's not the case that Zed is a knave.' So who is a knight? 8. You meet two inhabitants: Sue and Marge. Sue says that Marge is a knave. Marge claims, 'Sue and I are not the same.' So who is a knight?

Explanation / Answer

1. According to Zoey Mel is a Knave and according to male neither he nor Zoey are knave. from this it is obvious that Zoey is Knight

2.Zippy tells only a knave would say Peggy is a knave. But peggy is saying among them one is a knight. so, there is no mention about knaves in Peggy's word. So, Peggy is a knight

4. What Bozo claimed that is not said by Homer. So, Bozo is lying. And knaves are liers. so, Homer is knight.

6. Betty is Knight

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