Microsoft Riddle :
This
puzzle is asked by Microsoft while selecting the people for their
company. This puzzle or Riddle is famous for interviewers while they
taking interviews. This puzzle is famously known as "Is Your Husband a
Cheat". Visitors of this page can try to answer this puzzle.
Is Your Husband a Cheat?
Puzzle : A
certain town comprises of 100 married couples. Everyone in the town
lives by the following rule: If a husband cheats on his wife, the
husband is executed as soon as his wife finds out about him. All the
women in the town only gossip about the husbands of other women. No
woman ever tells another woman if her husband is cheating on her. So
every woman in the town knows about all the cheating husbands in the
town except her own. It can also be assumed that a husband remains
silent about his infidelity. One day, the mayor of the town announces to
the whole town that there is at least 1 cheating husband in the town.
What do you think happens?
Answer :
Stumped? Let’s solve this methodically. Say there was only 1 cheating
husband in the town. There will be 99 women who know exactly who the
cheater is. The 1 remaining woman, who is being cheated on, would have
assumed there are no cheaters. But now that the mayor has confirmed that
there is at least one cheater, she realizes that her own husband must
be cheating on her. So her husband gets executed on the day of the
announcement.
Now let’s assume
there are 2 cheaters in the town. There will be 98 women in the town who
know who the 2 cheaters are. The 2 wives, who are being cheated on,
would think that there is only 1 cheater in the town. Since neither of
these 2 women know that their husbands are cheaters, they both do not
report their husbands in on the day of the announcement. The next day,
when the 2 women see that no husband was executed, they realize that
there could only be one explanation – both their husbands are cheaters.
Thus, on the second day, 2 husbands are executed.
Through induction,
it can be proved that when this logic is applied to n cheating husbands,
they all die on the n th day after the mayor’s announcement.
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