Word problem

Question

Ms. Red, Ms. White and Ms. Blue were having lunch. One of them was wearing a red hat, one a white hat and one a blue hat. They lady wearing the blue hat said, "We are wearing hats that match our names, but not one of us is wearing a hat that matches the color of our name!" "What insight you have!" commented Ms. Red. What color hat was each lady wearing?

Answer 1

We know that "not one of them" is wearing the color of hat matching their name & that Ms. Red answered the lady wearing the blue hat. This should narrow it down for us - if we assume Ms. Red was not answering herself!

 

Ms. Red is not wearing blue or red, so she must be wearing white. This leaves Ms. Blue & Ms. White, neither of whom could be wearing the same color as their name.

 

As only the blue & red hats remain, Ms. White must wear a blue hat & Ms. Blue wears a red hat.