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MHT CET202311 May 2023Evening ShiftMathematicsMathematical ReasoningActual

The logical statement ( ( p q ) ( p r )) ( q r ) is equivalent to

Options

  1. Ap r
  2. B(p q) r
  3. C( p r ) q
  4. D( p q) r

Correct answer

C. ( p r ) q

Step-by-step solution

aligned & [ ( p q) (p r)] ( q r) & [(p q) (p r)] ( q r) & [ De Morgan's law ] aligned p ( q r ) ( q r ) [ Distributive law ] p [( q r) q] r^ .. [ Associative law] p ( q ) r [ Absórption law] (p r) q .. [Commutative and Associative law]

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