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Home > Logic > Liars and Knights
Type deduction (Posted on 2011-12-24) Difficulty: 3 of 5
Each of the three girls Francine, Gertrude and Harriet are either knights who always tell the truth or liars who always tell a lie.

Francine says, "Either I belong or Gertrude belongs to a different type from the other two."

Whose type can you deduce with absolute certainty?

See The Solution Submitted by K Sengupta    
Rating: 4.5000 (2 votes)

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Solution solution Comment 3 of 3 |

The statement basically says that there is an odd woman out, but it's not Harriet.

FGH
KKK - not possible | Supposedly true statement is false.
KKL - not possible | Supposedly true statement is false.
KLK - possible
KLL - possible
LKK - not possible | Supposedly false statement is true.
LKL - not possible | Supposedly false statement is true.
LLK - possible
LLL - possible

The only constant among the possible situations is that Gertrude is a liar.

 


  Posted by Charlie on 2011-12-24 18:14:30
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