In the land of Zoz, there are three types of people. In addition to the usual Knights and Liars, there are Switchkins who become whatever they say they are.

One morning, three groups of 30 gather. The first group has one type, the second group has an equal number of two types, and the third group has an equal number of all three types.

Everybody in one group says "We are all Knights", everybody in another group says "We are all Liars", and everybody in the remaining group says "We are all Switchkins."

How many Liars are there after this announcement?

Agree that it is 55 because the swithkins who say they are liars become so.

 

This is a strange tribe because being a switchkin is a state that can only last until you state what you are, unless you keep saying you are a switchkin. Once you say that you are either a liar or a knight, there is no going back.

Posted by neelia on 2006-11-12 16:51:26