Abby, Brenda, Carol, Diane and Emily are all of different ages. Two are liars and three are knights (knights always tell the truth; liars always lie).

Brenda claimed to be younger than Emily.
Carol claimed to be younger than Abby.
Carol claimed to be younger than Brenda.
Carol claimed to be younger than Diane.
Carol claimed to be younger than Emily.
Diane claimed to be younger than Brenda.
Diane claimed to be younger than Carol.
Diane claimed to be younger than Emily.
Emily claimed to be younger than Abby.
Emily claimed to be younger than Diane.

There were two other, similar, statements made, besides the ones metioned above, and in fact those were the only other statements like that that could be made.

That might be a little ambiguous, but resolving this ambiguity is part of the fun, and you can do it.

Who were the two liars and what was the order of their ages?

You can even fill in the two unheard remarks:

_______ claimed to be younger than _______
_______ claimed to be younger than _______

(In reply to No ambiguity at all by ed bottemiller)

The ambiguity involved was whether the extra two statements were merely two liars each referring to herself, such as Brenda falsely claiming to be younger than Brenda, leaving only 10 ordinary statements.

Posted by Charlie on 2008-04-02 10:12:11