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A Chamsonel Problem VII (Posted on 2014-06-11) Difficulty: 3 of 5
The dominant species in Planet Blancneldos is the chamsonels. There are two types of chamsonels - logicians and philosophers.

The chamsonels also have two different skin colors related to their veracity. Pink logician chamsonels always lie while blue logician chamsonels always tell the truth. Pink philosopher chamsonels always speak truthfully but blue philosopher chamsonels always speak falsely.

A visitor who is color blind meet three natives -Abderus, Bellerophon and Chrysippus. The visitor asks each his color and type.
They say:

1. I am a logician.
2. Chrysippus and I are not the same color.

1. Abderus is a logician.
2. I am not pink.

1. Bellerophon is a philosopher.
2. Abderus and myself are the same color.

What are the types of each of the three natives?

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution Comment 1 of 1

A philosopher would never say, "I am not pink."  Therefore B is a logician. 

This reveals that C is a liar, and because his 2nd  statement contradicts A's second statement, A is telling the truth.  A and B's first statements are the same, so B is also telling the truth.

It follows that A and B are both Blue Logicians and C is a Pink Logician. 

  Posted by tomarken on 2014-06-11 10:19:34
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