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Solution to CyberTeaser B172

Every honest inhabitant of the island answered “yes” to one question; every liar answered “yes” to two questions. So the total number of positive answers 60 + 40 + 30 = 130 equals the sum of the number of honest persons plus twice the number of liars. If each liar were counted once, we’d simply get the entire population, 100. So the number of liars is 130 – 100 = 30.


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