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Logical equivalent propostion to the pro...

Logical equivalent propostion to the proposition ` ~ ( p ^^ q)` is

A

` ~ p ^^ ~ q`

B

` ~ p vv ~ q`

C

` ~ p to ~ q`

D

` ~ p harr ~ q`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The proposition p ~(p ^^ ~q) is a

    A
    contradiction
    B
    tautology.
    C
    contingency
    D
    none of these

  • The proposition p to ~ (p^^~ q) is

    A
    a contradiction
    B
    a tautology
    C
    either (1) or (2)
    D
    neither (1) nor (2)

  • The proposition p to ~ (p ^^ ~ q) is

    A
    a contradiction
    B
    a tautology
    C
    etiher a tauology or a contradiction
    D
    neither a tautology nor a equirvalent to

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    The logically equivalent proposition of p iff q is

    The proposition ~ (p vv q) ^^ (p vv q )

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