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MHT CET20244 May 2024Morning ShiftMathematicsMathematical ReasoningActual

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

Options

  1. Aq r
  2. Bp r .
  3. Cq
  4. Dp

Correct answer

D. p

Step-by-step solution

aligned & [p (q r)] [ r q p] & [p (q r)] [p ( r q)] [Commutativity and associativity] aligned [p (q r)] [p (r q)... [DeMorgan's Law] aligned & p [(q r) (q r)] ...[Distributive and commutative Law] & p T ...[Absorption Law] aligned p ...[Identity Law]

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