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The statement ~(p harr ~q) is...

The statement `~(p harr ~q)` is

A

equivalent to `~p harr q`

B

a tautology

C

a fallacy

D

equivalent to `p harr q`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • ~(p harr q) is a

    A
    tautology
    B
    contradiction
    C
    Neither (a) nor (b)
    D
    Either (a) or (b)

  • 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 (p rArr q) iff (~p ^^ q) is a

    A
    tautology
    B
    contradiction
    C
    Neither (a) nor (b)
    D
    None of these

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