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Knight Inference (Posted on 2012-12-16) Difficulty: 3 of 5
A remote island consists of two types of inhabitants. The liars always lie about everything and the knights who always tell the truth.

Each of Monty, Barry, Cal and Pete are inhabitants of this island. It is known that precisely one of them is a knight and the remaining three are liars.
  1. Monty says, "If Pete and I each have a dog, then exactly one of Barry and Cal has a dog."
  2. Barry says, "If Cal and I each have a cat, then exactly one of Monty and Pete has a dog."
  3. Cal says, "If Monty and I each have a dog, then exactly one of Barry and Pete has a cat."
  4. Pete says, "If Barry and I each have a cat, then exactly one of Barry and I has a dog."
Who is the knight?

  Submitted by K Sengupta    
Rating: 4.0000 (1 votes)
Solution: (Hide)
Barry is the knight.

For an explanation, refer to the solution submitted by Steve Herman here.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Does Barry have a dog? (spoiler)Steve Herman2012-12-16 13:22:42
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