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Given below are four statements along wi...

Given below are four statements along with their respective duals. Which dual statement is not correct?

A

`(p vv q) ^^ (r vv s) , (p ^^ q) vv ( r ^^ s)`

B

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

C

`(p ^^ q) vv r , (p vv q) ^^r`

D

`(p vv q) vv s, (p ^^ q) vv s`

Text Solution

Verified by Experts

The correct Answer is:
D
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TARGET PUBLICATION-MATHEMATICAL LOGIC -CRITICAL THINKING
  1. Which of the following is logically equivalent to ~[p to (p vv ~ q)] ...

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  2. Which of the following is true?

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  3. ~ ( ~p) harr p is

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  4. (~ p ^^ ~ q) ^^ ( q ^^ r) is a

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  5. Which of the following is a tautology?

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  6. Which of the following statement is contradiction?

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  7. Which of the following statement is a contingency?

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  8. If A -= {4, 5, 7, 9), determine which of the following quantified stat...

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  9. Using quantifier the open sentence x^2 gt 0 ' defined on N is converte...

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  10. Which of the following quantified statement is false?

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  11. Given below are four statements along with their respective duals. Whi...

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  12. The dual of (p ^^ t) vv ( c ^^ ~ q) where t is a tautology and c is ...

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  13. Negation of the proposition (p vv q) ^^(~q^^r) is

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  14. The negation of p vv ~ q is

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  15. Which of the following is logically equivalent to ~[ p to ( p vv ~q)]...

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  16. The negation of the statement, EE x in R such that x^2 + 3 gt 0 , is

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  17. The negation of the statement "If Saral Mart does not reduce the price...

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  18. The switching circuit for the statement [p ^^ (q vv r) ] vv (~p vv s) ...

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  19. If the symbolic form is (p ^^ r) vv (~q ^^ ~r) vv (~q ^^ ~r), then sw...

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  20. The switching circuit for the symbolic form (p vv q) ^^ [~p vv (r ^^ ~...

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