Since Mr. White answered the man in the blue shirt, he can't be wearing blue unless he is talking to himself.
Mr. White can't be wearing the white shirt since none of the men are wearing the same color shirt as his name.
So Mr. White must be wearing gray.
Since Mr. White is wearing gray and Mr. Blue can't wear blue, Mr. Blue must be wearing white. That leaves the blue shirt for Mr. Gray.
Word problem from Mango Math!
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