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These problems are from a very large set of questions about Liars who always lie about everything, and Knights who always tell the truth. Some questions also involve Knaves - people who strictly alternate between lying and telling the truth. (They are of course all indistinguishable from one another by outward appearance, and you must use logic to determine who's who.)
Knights always tell the truth. Liars always lie. Knaves alternate between telling the truth and lying. Pages tell the truth if the last statement was a lie and lie if the last statement was a truth. Squires tell the truth if the last statement was a truth and lie if the last statement was a lie. You meet five people, A, B, C, D, and E. One of them is a knight, one of them is a liar, one is a knave, one is a page, and one is a squire. They make the following statements.

A:I am a liar.
B:I am a liar.
C:I am a squire.
D:A is a page.
A:E is not a knight.

What are A, B, C, D, and E?

(No Solution Yet, 2 Comments) Submitted on 2020-10-08 by Math Man   
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