All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Type deduction (Posted on 2011-12-24)
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
 solution Comment 3 of 3 |

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

`FGHKKK - not possible | Supposedly true statement is false.KKL - not possible | Supposedly true statement is false.KLK - possibleKLL - possibleLKK - not possible | Supposedly false statement is true.LKL - not possible | Supposedly false statement is true.LLK - possibleLLL - possible`

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

 Posted by Charlie on 2011-12-24 18:14:30
Please log in:
 Login: Password: Remember me: Sign up! | Forgot password

 Search: Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information