You have two cats. Snow and Flake. When it is one of their b-days you give them a kitty cupcake. Today is Snow's birthday but you forgot wich one she is. The one in the blue hat or the red hat? Snow always tells the truth while Flake always lies. Using the following statements said by your cats, which one is Snow ? Red Hat: Blue hat is not Snow Blue Hat: I am Snow
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You still don't know who Snow is since she could be the cat in red and blue too. If she was the one in red saying "Blue hat is not Snow" since she was Snow and Flake in the blue would be saying "I am Snow" wich is false. If she was the one in blue saying "I am Snow" since she was Snow and Flake in the red would be saying "Blue hat is not Snow" which is false. In conclusion they could both be Snow and we still don't know who to give the cupcake to.