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Statement-1 : ~ (p hArr ~ q) is equiva...

Statement-1 : ` ~ (p hArr ~ q)` is equivalent to `p hArrq.`
Statement-2: ` ~ (p hArr q)` is a tautology

A

Statement-1 is true, statement-2 is true, statement-2 is correct explanation for statement-1

B

Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1

C

Statement-1 is true, statement-2 is false

D

Statement-1 is false. statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Statements -1 : ~(pharr~q) is equivalent to p harr q Statement-2: (~ p harr ~q) is a tautology.

    A
    Statement-1 is true, statement 2 is true, statement 2 is a correct explanation for statement 1
    B
    Statement 1 is true, statement-2 is true, statement 2 is not a correct explanation for statement 1
    C
    Statement 1 is true , statement 2 is false,
    D
    statement 1 is false, statement 2 is true

  • The statement (~(phArr q))^^p is equivalent to

    A
    `p^^ q`
    B
    `qhArr p`
    C
    `p^^~q`
    D
    `~p^^q`

  • The statement ~(p harr ~q) is

    A
    equivalent to `p harr q`
    B
    equivalent to `~p harr q`
    C
    tautology
    D
    fallacy

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