Hand Shake Problem

[psuresh1982]

Here is the answer for your question....

So according to james clue there are 9 different answers....It means the only possible answers are 0,1,2,3,4,5,6,7,8.

The person who answers 8 has shaken hands at least with the persons that have answered 1, 2, ..., 7. That's only 7 persons, so she or he has shaken hands with Jake's wife too. This also means that the person who answers 0 is the only one who has not shaken hands with the person who answered 8, so they must be a couple.

So we eliminate that couple. Now totally 8 peoples left.Originally, the 7 persons in this group answered 1, 2, 3, 4, 5, 6, 7. All these people have shaken hands with the person who answered 8 and none of them has shaken hands with the person who answered 0. So when restricting themselves to the new group, they would have answered: 0, 1, 2, 3, 4, 5 and 6.

If we eliminate like this then finally we have a couple of jake. We can conclude that Jake's wife has shaken hands with 4 people. Because we will eliminate the four couples.

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suresh