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JEE Math Practice Question

The logical statement [ $$ \sim $$ ( $$ \sim $$ p $$ \vee $$ q) $$ \vee $$ (p $$ \wedge $$ r)] $$ \wedge $$ ($$ \sim $$ q $$ \wedge $$ r) is equivalent to :

  1. A.( $$ \sim $$ p $$ \wedge $$ $$ \sim $$ q) $$ \wedge $$ r
  2. B.$$ \sim $$ p $$ \vee $$ r
  3. C.(p $$ \wedge $$ r) $$ \wedge $$ $$ \sim $$ q
  4. D.(p $$ \wedge $$ $$ \sim $$ q) $$ \vee $$ r

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