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In a certain 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. Given the statements 'A & B', 'B $ C' and 'C # D', which conclusion(s) follow?
I. A > C
II. D ≥ B

Competition practiceInequalities
  • ABoth I and II follow
  • BOnly II follows
  • CNeither I nor II follows
  • DOnly I follows

Step-by-Step Solution

Decoding: A > B, B = C, C ≤ D. Then A > B = C gives A > C (I). C ≤ D with B = C gives D ≥ C = B, i.e. D ≥ B (II). Both follow.
Answer: A) Both I and II follow

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