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The negation of the compound proposition...

The negation of the compound proposition is `p vv (~ p vv q)`

A

`(p ^^ ~ q)^^ ~p`

B

`(p vv ~q)vv ~p`

C

`(p ^^ ~ q)vv ~p`

D

None of these

Text Solution

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The correct Answer is:
A
Negation of given statement, `S : ~ (p vv(~p vv q))`
`rArr " " S : ~ p ^^ ~(~p vv q) " "` [De-Morgan's law]
`rArr " " S : ~ p ^^ (p ^^ ~ q) " "` [De-Morgan's law]
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MATHEMATICAL LOGIC -MHT CET CORNER
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  2. If p : Every square is a rectangle. q : Every rhombus is a kite, the...

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  3. Which of the following quantified statement is true?

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  4. Symbolic form of the given switching circuit is equivalent to

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  5. The statement (p -> ~p) ^^ (~p -> p) is

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  6. The inverse of the statement (p ^^ ~ q) -> r is

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  7. If x and y have different truth values, then x ^^ (x vv y) is equivale...

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  8. For the circuit shown below, the Boolean polynomial is

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  9. Dual of (x vv y) ^^ (x' vv 1) is

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  10. If p,q,r are single proposition with truth values T, F, F, then the tr...

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  11. The output of the following circuit is

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  12. The proposition (~p)vv(p^~q) is equivalent to

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  13. ~(~p to q) is equivalent to

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  14. Simplify the following circuit and it is equivalent to.

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  15. Simplify (p vv q) ^^ (p vv ~q).

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  16. Negation of the conditional ''If it rains, I shall go to school'' is

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  17. The dual of the statement [p vv(~q)]^^(~p) is

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  18. Which of the following statement has the truth value F ?

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  19. The negation of the statement ''He is rich and happy'' is given by

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  20. ~(p harr q) is a

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  21. ~[(p ^^ q)to(~p vv q)] is a

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