Mr. Blue, Mr. White, and Mr. Gray are each wearing shirts and ties that are blue, white, or gray. No man’s tie color matches his shirt color, and no man is wearing a tie or a shirt that matches his name. No two men are wearing the same color tie or shirt. Mr. Blue’s tie is the same color as Mr. Gray’s shirt. What is the color of Mr. White’s shirt?
Solution
Mr. Blue’s tie must be either gray or white. Mr. Gray’s shirt must be either blue or white. Since both are the same color, they must both be white. Because Mr. Blue’s tie is white, his shirt must be gray. Now that we know that Mr. Blue’s shirt is gray, and Mr. Gray’s shirt is white, we are left to conclude that Mr. White’s shirt must be blue.