Lawful Evil (lawful_evil) wrote,
Lawful Evil
lawful_evil

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Not Pay Day

Mike lives on a street with house-numbers starting at (and including) 8 and increasing to (and including) 100. Lisa wants to know where Mike lives. She asks him: "Is your house-number larger than 50?" Mike answers, but lies. Upon this Lisa asks: "Is your house-number a multiple of 4?" Mike answers, but lies again. Then Lisa asks: "Is your house-number a square?" Mike answers truthfully. Upon this Lisa says: "I will know your house-number if you tell me whether the first digit is a 3." Mike answers, but now we don't know whether he lies or speaks the truth. Thereupon Lisa says at which house-number she thinks Mike lives, but (since he has lied) she is wrong. What is Mike’s real house-number?
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