Ethel , Felicia and Gabrielle live on an island inhabitated by three types: the Knights, the Liars and the Weirdos.
Each is either a Knight who always tells the truth, a Liar who always lies , or a Weirdo who may do either - that is, a Weirdo chooses whether to speak truth or lie for each statement.
Ethel says : "If we all belong to the same type, then that type is the Liar."
Felicia says: "If just one of us belongs to a different type from each of the others, then that one is a Liar."
Gabrielle says : "If each of us belongs to a different type from each of the others, then I am a Liar."
Whose type can you deduce with absolute certainty?