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BITSAT2023MathematicsMathematical ReasoningActual

Negation of the Boolean expression p ( q p ) is

Options

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

Correct answer

D. ( p) ( q)

Step-by-step solution

Given expression is p (q p) ( p ( q p )) ( p q )=( p q ) ( q p ) ( p ( q p ))=( p ( q p )) (( q p ) p ) ( p ( q p ))= p ( q p )=(p p) q=c (q p) p=( q p) p= p ( q p) =( p q ) ( p p )= p q (p ( q p))=c ( p q)= p q

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