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JEE Math Practice Question

If q is false and p $$ \wedge $$ q $$ \leftrightarrow $$ r is true, then which one of the following statements is a tautology ?

  1. A.P $$ \wedge $$ r
  2. B.(p $$ \vee $$ r) $$ \to $$ (p $$ \wedge $$ r)
  3. C.p $$ \vee $$ r
  4. D.(p $$ \wedge $$ r) $$ \to $$ (p $$ \vee $$ r)

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