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JEE Math Practice Question

Let $$\Delta$$, $$\nabla $$ $$\in$$ {$$\wedge$$, $$\vee$$} be such that p $$\nabla$$ q $$\Rightarrow$$ ((p $$\Delta$$ q) $$\nabla$$ r) is a tautology. Then (p $$\nabla$$ q) $$\Delta$$ r is logically equivalent to :

  1. A.(p $$\Delta$$ r) $$\vee$$ q
  2. B.(p $$\Delta$$ r) $$\wedge$$ q
  3. C.(p $$\wedge$$ r) $$\Delta$$ q
  4. D.(p $$\nabla$$ r) $$\wedge$$ q

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