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JEE Math Practice Question

The statement $$\left( {p \to \left( {q \to p} \right)} \right) \to \left( {p \to \left( {p \vee q} \right)} \right)$$ is :

  1. A.a tautology
  2. B.a contradiction
  3. C.equivalent to (p $$ \vee $$ q) $$ \wedge $$ ($$ \sim $$ p)
  4. D.equivalent to (p $$ \wedge $$ q) $$ \vee $$ ($$ \sim $$ q)

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