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JEE Math Practice Question

The statement $$(\sim(\mathrm{p} \Leftrightarrow \,\sim \mathrm{q})) \wedge \mathrm{q}$$ is :

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

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