# Cheater husband puzzle – ANALYZE SITUATION

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There is a town named Panem. The town is well built and have every facility available to the citizens. It comprises of 100 married couples. The husbands of the town are very loyal to their wives but that happens for a reason. There is a rule that is followed by the people of the town. If any wife finds out about her husband’s infidelity, the husband is immediately executed.
No woman in the town talks about their own husband and all they do is gossip about others’. Thus every woman in the town is familiar with all the other unfaithful husbands but does not know about their own. This can also be explained as that the husbands remain glued lip about their own unfaithfulness.

One day, the mayor of the town announces to the people that there is at least one cheating husband in the town. What will happen now?

ravi Expert Asked on 19th July 2015 in

This one definitely sounds too unusual. But there is an easy way to look at things.

Let us say that there is one unfaithful husband in the town. In such a case, 99 women will know about him. The wife of that man will be the only one who will not know about him and would have always thought that his husband is truly faithful to her. But since the mayor announced that there is at least one cheater among them, she will come to a realization that her husband must be cheating on her. So her husband will be executed on the first day of the announcement.

Now let us take up a case that there are two cheating husbands in the town. Now 98 women of the town must be knowing about them both. The two wives of those men will think that there is only one cheater in the town. Both of them believes that their respective husbands are loyal and this would not report about them

But when both of them will find out on the next day that no one was executed, they will realize that it could only mean that both of their husbands are cheaters. Thus both the husbands will be executed on the second day.

Thus if we have X number of cheating husbands, they all will die on the Xth day after the announcement is being made.

ravi Expert Answered on 19th July 2015.

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