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MHT CET202012 Oct 2020Evening ShiftMathematicsMathematical ReasoningActual

Which of the following statement pattern is a contradiction? array l S ₁ ( p q ) ( p q ) S ₂ [ p ( p q )] q S ₃ ( p q ) p S ₄ [ p ( p q )] q array

Options

  1. AS ₄
  2. B~S ₁
  3. C~S ₂
  4. D~S ₃

Correct answer

B. ~S ₁

Step-by-step solution

array |l|l|l|l|l|l| 1 & 2 & 3 & 4 & 5 & 6 p & q & p q & q & P q & ( p g ) ( p q ) T & T & T & F & F & F T & F & F & T & T & F F & T & T & F & F & F F & F & T & T & F & F array All entries in last column are F . So S ₁ is a contradiction. This problem can be alternatively solved as follows : aligned S₁ & (p q) (p q) & [( p q)] [ ( p q)] & F aligned

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