Brain Teasers
Three Sages
Once three sages decided to learn who of them is the smartest. So they went to the 4th sage and asked him to help them decide who is the smartest. The 4th one said, "I have five hats: two black and three white. Now I'll tie your eyes and put one of the hats on your heads. After that I'll untie your eyes and you will be able to see the hats of the other two sages, but you won't be able to see the hat on your head. And he who is able to state what color is the hat that is on his own head will be the smartest." After a while one of the sages told what color is the hat on his head.
How did he do that?
How did he do that?
Hint
All of the sages had white hats.Answer
Sage A thinks, "If sage B sees a black hat on my head he would think, 'if sage C sees that I and A, both have black hats, he would say that he has a white one. He didn't say that so I have a white one.' Sage B did not say that, so I have a white one!"Hide Hint Show Hint Hide Answer Show Answer
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