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In a code, '+' means 'is taller than' and '-' means 'is shorter than'. Given the statement 'P - Q + R' (read as P is shorter than Q, and Q is taller than R), which of the following is definitely true?

Competition practiceInequalities
  • AP is the shortest of the three.
  • BP is taller than R.
  • CR is taller than Q.
  • DQ is taller than both P and R.

Step-by-Step Solution

P - Q means Q > P and Q + R means Q > R, so Q is taller than both P and R. The relation between P and R is not fixed, so the other statements cannot be certain.
Answer: D) Q is taller than both P and R.

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