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Truth/Lies Logic Puzzles

Instructions: Someone committed a crime, and the police have gathered statements from everyone. Use logic and the fact that each person either always lies or always tells the truth to figure out who is the guilty party!

See the answer for last week's puzzle

Catherine said:

Only one of us, Joyce or I, tell the truth.
Joseph cheated on the company taxes.
Jose said:
Both Joseph and Raymond lie.
Joseph didn't cheat on the company taxes.
Joseph said:
Exactly one of Joyce and Catherine tells the truth..
Margaret didn't cheat on the company taxes.
Joyce said:
Catherine doesn't lie.
Catherine cheated on the company taxes.
Margaret said:
Exactly one of Raymond and Joseph lies..
I didn't cheat on the company taxes.
Raymond said:
Catherine tells the truth
Catherine cheated on the company taxes.

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