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MathNet 2006 — Part 04 Question 39

Math Olympiad Vault · MathNet 2006 — Part 04

Question 39

The inhabitants of an island are either knaves or knights: knights always tell the truth, knaves always lie. One evening at the bar, Alberto says: "Bruno is a knight"; Bruno says: "......all three knights" (at that moment a truck passes and it is not clear whether Bruno said "We are all..." or "We are not all..."); Carlo says: "Bruno said that we are not all three knights." How many of them are knights?

(A) 0

(B) 1

(C) 2

(D) 3

(E) cannot be determined.