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In a certain code, 'A $ B' means A is greater than B, and 'A # B' means A is less than B. Given that P $ Q, Q $ R and R # S are all true, who is the greatest among P, Q and R?

Competition practiceInequalities
  • AQ
  • BS
  • CP
  • DR

Step-by-Step Solution

P $ Q → P > Q and Q $ R → Q > R, so P > Q > R. Among P, Q and R the greatest is P.
Answer: C) P

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