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 Colorful hats (Posted on 2014-04-16)
A, B, and C were in a line blindfolded. They each had a hat put on their heads. They knew that the hats were taken from a box of 2 red, 2 yellow, and 3 blue hats. When the blindfolds were taken off, A could see B's and C's hats, B could only see C's hat, and C could not see any hats. They made the following statements.

A:I cannot tell what color my hat is not.
B:I cannot tell what color my hat is not.
C:I can tell what color my hat is.

What color is C's hat and how does C know?

 See The Solution Submitted by Math Man Rating: 2.0000 (1 votes)

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 symmetry- spoiler | Comment 4 of 6 |

Jer and I posted our answers simultaneously.

I intended to state that assuming the puzzle is solvable, the answer

can be neither red (why not yellow?)  nor yellow (why not red?), so

the odd-man i.e.  blue must be the answer.

 Posted by Ady TZIDON on 2014-04-16 12:29:15

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