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JEE Math Practice Question

The Boolean expression ((p $$ \wedge $$ q) $$ \vee $$ (p $$ \vee $$ $$ \sim $$ q)) $$ \wedge $$ ($$ \sim $$ p $$ \wedge $$ $$ \sim $$ q) is equivalent to :

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

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