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MathNet 2011 Question 97

Math Olympiad Vault · MathNet 2011

Question 97

In the forest of the purple tree, three kinds of animals can talk: foxes, snakes and turtles. Foxes lie only on rainy days, snakes always lie, and turtles always tell the truth. One day the explorer Berny talks to four animals. Their statements, in the order spoken, are:
A: “It is raining today.”
B: “The animal who spoke before me is lying.”
C: “It is clear today.”
D: “The one who spoke before me is lying or I am a fox.”
What is the maximum number of turtles Berny spoke to?
(A) 1; (B) 2; (C) 3; (D) 4; (E) It cannot be determined.