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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

Angela said:

Exactly one of Martha and Patricia lies..
Richard keyed the car.
Lisa said:
Exactly one person, Martha or Sarah, lies.
Martha keyed the car.
Martha said:
Both Lisa and Sarah tell the truth.
Angela keyed the car.
Patricia said:
Exactly one of Sarah and Lisa lies..
Angela keyed the car.
Richard said:
Both Martha and Angela lie.
Patricia keyed the car.
Sarah said:
Lisa is telling the truth.
Martha keyed the car.

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