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The police arrested four criminals – $P, Q, R$ and $S.$ The criminals knew each other. They made the following statements:

  • $P$ says “Q committed the crime.”
  • $Q$ says “S committed the crime.”
  • $R$ says “ I did not do it.”
  • $S$ says “What Q said about me is false”.

Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?

  1. $P$
  2. $R$
  3. $S$
  4. $Q$
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