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In a code, 'P @ Q' means P > Q, 'P # Q' means P < Q, 'P $ Q' means P = Q, 'P % Q' means P ≥ Q, and 'P & Q' means P ≤ Q. Statements: A @ B, B $ C, C # D. Conclusions: I. A @ C (A > C).
II. A @ D (A > D). Which conclusion(s) is/are true?

Competition practiceInequalities
  • ANeither is true
  • BOnly I is true
  • CBoth are true
  • DOnly II is true

Step-by-Step Solution

Decoding: A > B, B = C, C < D. From A > B = C we get A > C, so I is true. But C < D gives no fixed relation between A and D, so II is not certain. Only I is true.
Answer: B) Only I is true

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