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MHT CET202611 April 2026Morning ShiftMathematicsMathematical ReasoningActual

The statement pattern (p q) r is logically equivalent to

Options

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

Correct answer

C. ( p q) r

Step-by-step solution

The given statement pattern is (p q) r . Using the logical equivalence A B A B , the expression can be rewritten by taking A = p q and B = r . (p q) r (p q) r Applying De Morgan's law, (p q) p q . Substituting this into the expression yields: ( p q) r Answer: ( p q) r

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