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MHT CET202310 May 2023Morning ShiftMathematicsMathematical ReasoningActual

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

Options

  1. A(p r) q
  2. B(p q) r
  3. Cp r
  4. Dp r

Correct answer

A. (p r) q

Step-by-step solution

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

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