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JEE Math Practice Question

Let r $$\in$$ {p, q, $$\sim$$p, $$\sim$$q} be such that the logical statement r $$\vee$$ ($$\sim$$p) $$\Rightarrow$$ (p $$\wedge$$ q) $$\vee$$ r is a tautology. Then r is equal to :

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

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