On Dichotomy Island, there are only two families: the McTruth's (who always tell the truth) and the O'Lyer's (who lie systematically). Every one of the 400 inhabitants of the island is either a hunter, a fisherman or a mailman.
Quite appropriately, the census forms (filed by everyone on the island) has only three questions:
- Are you a hunter?
- Are you a fisherman?
- Are you a mailman?
300 inhabitants answered 'yes' to the first question, 200 to the second, and 150 to the third.
How many McTruth's and O'Lyer's are there on the island?
Thanks goes out to Martin Deraux for this puzzle. Check out his
page for some more interesting puzzles.
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