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 A Chamsonel Problem (Posted on 2007-01-30)
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.

Three chamsonels A, B and C are approached by a visitor from a neighboring planet who asks each of their skin color and type. Their responses are given below. It is known that the visitor is color blind.

A’s response:

1. Precisely two of us speak the truth and I am one of them.
2. B is blue.
3. I am not pink.

B’s response:

1. C and myself always speak the truth.
2. I am a philosopher.

C’s response:

1. A and myself always speak the truth.
2. I am blue.
3. I am the only logician amongst the three of us.

What are the type and skin color of each chamsonel?

 See The Solution Submitted by K Sengupta Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 A short proof | Comment 4 of 7 |
B says he's a philosopher, so he must be pink. A says B is blue, so A lies; since A says he's not pink, A is a PINK LOGICIAN.

C says he's blue, so he must be a logician. C says he's the only logician, so he lies (since A is also a logician), thus C is a PINK LOGICIAN.

B says C is truthful, so B lies: B is a PINK LOGICIAN too.

Note that many statements were not used!

 Posted by Federico Kereki on 2007-01-31 09:55:26

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