February 20th, 2008
Primitive Custom
HARDEST LOGIC PROBLEM EVER. READ CAREFULLY OR DON'T BOTHER TO ANSWER.?
There is a primitive village that has this odd custom, that when a woman cheats on her husband, she tells every man in the village about it, except for her husband. Men never talk about cheats they are aware of with each other. The custom also says that when a man realizes he's been cheated, he hangs his wife at the same night. There comes a time in the village when the priest has to leave and he announces that there have been cheats in the village. The morning after everybody can see that no woman was hung. The same goes also for the next morning. But on the third morning there were women hung. How many, and how did their husbands find out? Keep in mind that men do not talk to each other about cheats and that they are very clever.
I am forced to assume that there is no way for a woman to know of any cheat (except her own) without a hanging.
If the priest was a married woman, her husband would have realized instantly that she must have cheated on him and hanged her.
If the priest was a single woman (and since there were hanging(s) on the third day) and there is no way to deduce the culpability of any other woman from what she says; the priest must be a man.
Since the priest said "cheats" (plural) there were at least two cheats in the village.
If there was a guy who knew of zero or only one cheat, he would have hanged his wife for the first day.
Since every guy in the village knew of every cheat except his own wife's and there was no hanging the first day then every guy must know of at least two cheats.
if there was a guy who knew of only two cheats then he would expect one or two hangings the first day. (The same woman could have cheated twice.) Since there were none on the first day; he would know that his wife had cheated and he would have hanged her for the second day. Therefor every guy knew of at least three cheats.
Since women were hanged on the third day there must have been a guy who knew of three cheats.
if there was a guy who knew of only three cheats then he would have expected hangings on the first or second day. Since there were none he would hang his wife to be found on the third day.
Since he knew of three cheats other than his wife there would also have been three other hangings. (A woman who was a multiple cheater would have been hanged on day one or day two.)
Therefore there were four women hanged.
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STEREO VINYL LP! Lou Reed: Growing Up In Public! 1980 Arista Release! Custom Inner Sleeve Contains Lyrics, Recording Data! TRACKS: A1. How Do You Speak to an Angel; A2. My Old Man; A3. Keep Away; A4...
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Actor-turned-director Cornel Wilde (The Best Years of Our Lives) released this fascinating fever dream of a thriller in 1966, basing its terrifying story on the legendary escape of trapper John Colter from Blackfoot Indians...
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Space Clouds Craft a rather primitive space craft engages warp drive as stars streak Coffee Gift Basket is measuring 9x9x4. Contains 15oz mug, BONUS free set of 4 coasters, biscotti and 5 blends of gourmet coffee...
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Tags: custom, furniture, papervision, papervision3d, primitive, primitive customs
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