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JEE Math Practice Question

If the Boolean expression (p $$ \Rightarrow $$ q) $$ \Leftrightarrow $$ (q * ($$ \sim $$p) is a tautology, then the boolean expression (p * ($$ \sim $$q)) is equivalent to :

  1. A.q $$ \Rightarrow $$ p
  2. B.p $$ \Rightarrow $$ q
  3. C.p $$ \Rightarrow $$ $$ \sim $$ q
  4. D.$$ \sim $$q $$ \Rightarrow $$ p

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