JEE Main & Advanced Sample Paper JEE Main Sample Paper-37

  • question_answer
    DIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (ONLY ONE option is correct) from the following-
    Statement-1: The statement \[(p\vee q)\wedge \tilde{\ }p\]and\[\tilde{\ }p\wedge q\]are logically equivalent.
    Statement-2: The end columns of the truth table of both statements are identical.

    A)  Statement-1 is false, Statement-2 is true.

    B)  Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.

    C)  Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

    D)  Statement-1 is true, Statement-2 is false.

    Correct Answer: B

    Solution :

     Truth table has been given below:
    \[p\] \[q\] \[\tilde{\ }p\] \[p\vee q\] \[(p\vee q)\wedge \tilde{\ }p\] \[\tilde{\ }p\wedge q\]
    T T F T F F
    T F F T F F
    F T T T T T
    F F T F F F


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