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BITSAT2024MathematicsMathematical ReasoningActual

Let p, q, r be three logical statements. Consider the compound statements S₁:(( p) q) (( p) r) and S₂: p (q r) Then, which of the following is NOT true?

Options

  1. AIf S₂ is true, then S₁ is true
  2. BIf S₂ is false, then S₁ is false
  3. CIf S₂ is false, then S₁ is true
  4. DIf S₁ is false, then S₂ is false

Correct answer

C. If S₂ is false, then S₁ is true

Step-by-step solution

Given statement S₁:( p q) ( p r) p (q r)S₂: p (q r) p (q r) By conditional law S₁ S₂

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