MATH/LOGIC

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You have gotten reservations from Fly By Night Tours to an island off the coast of Florida. You arrive and find out that the island is occupied and administered by alligators and crocodiles. You are confronted by a committe of three of these reptiles with the following manifesto:"Answer this right and you'll have a great vacation. Answer this wrong, and you shall be chomped!" You are equipped with the following information:Alligators always tell the truth whereas crocodiles always lie. You are allowed to ask one question of each friendly-looking reptile and, then, you will be asked to say how many of these are crocodiles and how many are alligators. You ask the first reptile if he is a crocodile. He answers the question. The second reptile then tells you that the first denied being a crocodile. The third friendly reptile says that the first reptile is really a crocodile.How many of the three reptiles are crocodiles?

One.

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