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At a restaurant downtown,
Mr. Red, Mr. Blue, and Mr. White meet for lunch.
Under their coats they are wearing either a red, blue, or white shirt.
My. Blue says, “Hey, did you notice we are all wearing different colored shirts from our names?”
The Man wearing the white shirt says, “Wow, Mr. Blue, that’s right!”
Can you tell who is wearing what color Shirt?
Since Mr. Blue said that they are all wearing different colored shirts from their names, we know that Mr. Blue is not wearing a blue shirt. Let’s consider the possibilities for each person:
If Mr. Blue is wearing a red shirt, then Mr. Red and Mr. White must be wearing blue and white shirts, respectively, since they cannot wear shirts that match their names. However, in this case, the man wearing the white shirt (who we know is not Mr. White) would not have agreed with Mr. Blue’s statement, since he is wearing a white shirt.
If Mr. Blue is wearing a white shirt, then Mr. Red and Mr. White must be wearing blue and red shirts, respectively. This would mean that the man wearing the white shirt (who we know is not Mr. White) would be wearing a blue or red shirt, which would match his name. Therefore, this cannot be the case.
If Mr. Blue is wearing a blue shirt, then Mr. Red and Mr. White must be wearing red and white shirts, respectively. In this case, the man wearing the white shirt (who we know is not Mr. White) would be wearing a red shirt, which is different from his name. This matches Mr. Blue’s statement and the man wearing the white shirt’s agreement.
Therefore, Mr. Red is wearing a red shirt, Mr. Blue is wearing a blue shirt, and Mr. White is wearing a white shirt.