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Algebra Level 2

A set of cannibals trapped three men who were on a safari. They tied them up and blindfolded them and made them stand in a line by their height. The cannibals had five hats, 2 white and 3 black. They put 3 random hats on their heads. They told them if they could figure out the color of their hat, then they could go free.

The tallest man(one in the back who could see the 2 people in front of him) said, "I don't know", the one in the middle said(who could only see 1 person in front of him, "I don't know" and the shortest guy(one in the front and couldn't see anything said, "I know!"

What color did the shortest guy wear? (For extra credit, post your logic!)

Black White None The rest of the hats

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1 solution

Ragav Ssr
Oct 14, 2016

If the third person saw the two persons in front of them wearing white hats, he would have worn black! but he doesn't know. So there is no chance of the first two persons wearing white hats!

If the Second person saw the person in front of him wearing a white hat, he would have worn black as there is no chance of him wearing white again! But he too doesn't know what he was wearing! So the first person wouldn't be wearing a white hat!

So the first person would have been wearing only a Black Hat!!

( Note : this logic doesn't apply if the persons are dumb enough to say "I don't Know" Just because he's lazy to think!! )

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