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In a certain code: 'A @ B' means A is not smaller than B; 'A # B' means A is not greater than B; 'A $ B' means A is equal to B. If 'P @ Q' and 'Q # R' are both true, which of the following is definitely true?

Competition practiceInequalities
  • AR is smaller than P.
  • BP is greater than R.
  • CR is not smaller than Q.
  • DP is smaller than Q.

Step-by-Step Solution

P @ Q means P >= Q and Q # R means Q <= R, i.e. R >= Q, so R is not smaller than Q. The relation between P and R is not fixed.
Answer: C) R is not smaller than Q.

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