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K Sengupta
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A distant planet is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie.
Eight inhabitants of the planet: Marge, Mel, Betty, Bob, Bill, Carl, Zeke and Alice are busy at a conversation, when a visitor from a neighboring planet stops by and asks each of the eight inhabitants their respective identities. They say:
Marge: “It's not the case that Bob is a knave.”
Mel: “Bill is a knave.”
Betty: “Carl and Zeke are knights.”
Bob: “Neither Mel nor Bill are knaves.”
Bill: “Only a knave would say that Carl is a knave.”
Carl: “I know that Alice is a knave and Zeke is a knight.”
Zeke: “Of Carl and I, exactly one is a knight.”
Alice: “Zeke and Marge are both knights.”
Determine the type of each of the inhabitants from the abovementioned statements.
Eight inhabitants of the planet: Marge, Mel, Betty, Bob, Bill, Carl, Zeke and Alice are busy at a conversation, when a visitor from a neighboring planet stops by and asks each of the eight inhabitants their respective identities. They say:
Marge: “It's not the case that Bob is a knave.”
Mel: “Bill is a knave.”
Betty: “Carl and Zeke are knights.”
Bob: “Neither Mel nor Bill are knaves.”
Bill: “Only a knave would say that Carl is a knave.”
Carl: “I know that Alice is a knave and Zeke is a knight.”
Zeke: “Of Carl and I, exactly one is a knight.”
Alice: “Zeke and Marge are both knights.”
Determine the type of each of the inhabitants from the abovementioned statements.
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