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Viable Vocations (Posted on 2012-04-02) Difficulty: 2 of 5
Three inhabitants in a remote island are discussing their occupations, which are all different, in response to a visitorís inquiry. As to their groups, little is known except that one of them is a Knight, who always speaks truthfully, another is a Liar, who always speak falsely, and the remaining one is a Knave, who make statements that are alternately truthful and false. It is also known that, each inhabitant holds precisely one occupation that is different from two of his companions.

1. My job as the sunflower-seed extractor is the most favorable occupation.
2. Carlís second statement is false.
3. Bill is not the shepherd.

1. Art is the olive processor.
2. I am not a knave.

1. Art and Bill are both shepherds.
2. I am the sunflower-seed extractor.

What group or groups are represented by the three speakers, and what are their occupations?

See The Solution Submitted by K Sengupta    
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Solution Spoiler | Comment 1 of 4
Not sure why nobody has done this yet, but here is my thinking:

Bill cannot be a liar because of statement two, so he is either a knight or a Knave.  Either way, his first statement must be true.  So, Art is the Olive Processor.

Art, the olive processor has made a false first statement.  He is either a liar or a knave, but either way his third statement must also be false.  So, Bill is the shepherd and Carl is the Sunflower extractor.

And that means that Carl has made both a false statement and a true one, and must be the Knave.  Which makes Art the Liar and Bill the Knight.

Full answer:

A  Lying Olive Processor
B  Knightly shepherd
C  Knavish sunflower-seed extractor

  Posted by Steve Herman on 2012-04-02 18:25:27
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