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JEE Math Practice Question

Let the operations $$*, \odot \in\{\wedge, \vee\}$$. If $$(\mathrm{p} * \mathrm{q}) \odot(\mathrm{p}\, \odot \sim \mathrm{q})$$ is a tautology, then the ordered pair $$(*, \odot)$$ is :

  1. A.$$(\vee, \wedge)$$
  2. B.$$(\vee, \vee)$$
  3. C.$$(\wedge, \wedge)$$
  4. D.$$(\wedge, \vee)$$

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