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Puzzle #550 - The case of the cheating husbands
07-Dec-18
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In ancient Potidaea, society was more matriarchal in nature. Women never trusted their husbands, as infidelity was on the rise. However, the laws empowered a woman to throw her husband out of the house if he were proved to be an adulterer. Women at that time believed in Oracles. Once, an Oracle was invited to Potidaea. The female inhabitants of the town wanted confirmation from the Oracle that their husbands were loyal to them. However, the Oracle had a few conditions as she wanted to avoid any controversies.

1. She would simply say "Nai (yes)" or "Ohkee (No)" and not announce the number of men who were adulterers nor would she identify them.

2. Also, if she arrived and made her announcement, the women would have to follow a particular rule. Once, the Oracle has announced her answer, if on any day a lady figured out that her husband was an adulterer, she would throw him out of the house the very next day at noon.

Now, the entire episode would be visible to every inhabitant of Potidaea. Also, every woman already knew what every man, other than her husband, was up to. However, she could not reveal that information to any other woman. Also, obviously, a cheating husband would not reveal his infidelity.

When the Oracle visited, she just said, "Nai" and left immediately. At noon on the 15th day after the Oracle left, for the first time, some women threw their husbands out of their homes. How many men were thrown out? Provide a detailed explanation along with your answer.
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