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If p : 'Sham is honest', q : 'Sham will ...

If p : 'Sham is honest', q : 'Sham will pass', then the statement ''It is not true that Sham is not honest or will not pass'', is written in symbols as :

A

`p^^~q`

B

`~p^^q`

C

`~(~pvv~q)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If p : Sham is honest, q : Sham will pass, then the statement 'either Sham is honest or he will pass', is written in symbols as :

    A
    `p^^q`
    B
    `p^^~q`
    C
    `pvvq`
    D
    none of these

  • If the statement be p : It is raining, q : It is pleasant, then the statement : ''It is either raining or not raining and pleasant, can be expressed in symbols as :

    A
    `~(~pvv~q)`
    B
    `pvv~p^^q`
    C
    `~p^^~q`
    D
    none of these

  • If the statement be p : It is raining, q : It is pleasant, then the statement : ''It is neither raining nor pleasant' can be expressed in symbols as :

    A
    `pvv~q^^q`
    B
    `~p^^~q`
    C
    `prarrq`
    D
    none of these

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