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

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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?


Ans: Zoey

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?

Ans: Zippy ( Reason: knave would say that Peggy is a knave)

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?


Ans: None

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?

Ans: Bozo


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?

Ans: None



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?



Ans: None


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?

Ans: Zed, Alice




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?


Ans: Marge

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