JEE Main & Advanced JEE Main Paper (Held On 12 April 2014)

  • question_answer
    Let p, q, r denote arbitrary statements. Then the logically equivalent of the statement\[p\Rightarrow \left( q\vee r \right)\] is:   [JEE Main Online Paper ( Held On 12 Apirl  2014 )

    A) \[\left( p\vee q \right)\Rightarrow r\]   

    B) \[\left( p\Rightarrow q \right)\vee \left( p\Rightarrow r \right)\]

    C) \[\left( p\Rightarrow \tilde{\ }q \right)\wedge \left( p\Rightarrow r \right)\]

    D) \[\left( p\Rightarrow q \right)\wedge \left( p\Rightarrow \tilde{\ }r \right)\]

    Correct Answer: B

    Solution :

                    Given statement is \[p\Rightarrow (q\vee r)\] which is equivalent to\[(p\Rightarrow q)\vee (p\Rightarrow r)\]

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