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In a coded system, 'A @ B' means 'A is greater than B', 'A # B' means 'A is smaller than B', 'A $ B' means 'A is equal to B', 'A & B' means 'A is either greater than or equal to B', and 'A * B' means 'A is either smaller than or equal to B'. Given that 'M # N', 'N * O' and 'O $ P' are true, which of the following is definitely true?

Competition practiceInequalities
  • AP # M
  • BN @ O
  • CM $ O
  • DM # P

Step-by-Step Solution

The codes give M < N ≤ O = P. Hence M is smaller than P, i.e. 'M # P'. The other options reverse the order or assert equalities the chain does not fix.
Answer: D) M # P

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