Pointing Fingers

Only one of these statements is true. Which is it?

A. All of the below
B. None of the below
C. One of the above
D. All of the above
E. None of the above
F. None of the above

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Consider them in turn. A can’t be true because some of the other statements contradict one another (for example, C and D). B can’t be true because it implies that C is also true. Since A and B are false, C is also false, and likewise D. But E is true, and this makes F false. So the answer is E. From Crux Mathematicorum, 1979, 83, Problem 357, via Ross Honsberger’s More Mathematical Morsels, 1991.