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If p, q are true and r is false statemen...

If p, q are true and r is false statement then which of the following is true statement?

A

`(p ^^q) vv ` r is F

B

`(p ^^ q) ^^ r` is T

C

`(p vv q) ^^ (p vv r) ` is T

D

`( p ^^ q) vv ( p ^^ r) `is F

Text Solution

Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-MATHEMATICAL LOGIC -CRITICAL THINKING
  1. If p is false, q is true then which of the following is false ?

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  2. Given that p is 'false' and q is 'true' then the statement which is 'f...

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  3. If p, q are true and r is false statement then which of the following ...

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  4. If ~q vv p is F, then which of the following is correct?

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  5. Find out which of the following statements have the same meaning: i...

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  6. Find which of the following statements convey the same meanings? i ....

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  7. p ^^ ( p to q) is logically equivalent to

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

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  9. Which of the following is true?

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  10. ~ ( ~p) harr p is

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

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  12. Which of the following is a tautology?

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  13. Which of the following statement is contradiction?

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  14. Which of the following statement is a contingency?

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

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

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  17. Which of the following quantified statement is false?

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

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

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

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