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29. If pis any statement, t is a tautolo...

29. If pis any statement, t is a tautology and c is a contradiction then which of the following is not correct-

A

p`vv`(~p)=c

B

p`vv` t= t

C

p`^^` c = c

D

p`^^`c = c.

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The correct Answer is:
A
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DISHA PUBLICATION-MATHEMATICAL REASONING-Exercise-1 : Concept Builder
  1. Which of the following sentences are statements? Give reasons for you...

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  2. The dual of the compound statement ~p^^[~(qvvr)]is

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  3. 29. If pis any statement, t is a tautology and c is a contradiction th...

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  4. Draw Venn diagram to represent the truth of the statement "No child is...

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  5. The dual of the statement (p^^q)vv~qf=pvv~ is

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  6. The dual of statement [pvvq)^^~q]vv~q is

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  7. Which of the following is equivalent to (p ^^q): (a) p -> ~q (b) ~(~p ...

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  8. The dual of statement [pvvq)^^~q]vv~q is

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  9. Which of the following is a contradiction

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  10. If p and q are two statement then (p <-> ~ q) is true when : (a) p and...

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  11. Which of the following is true?

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  12. The compound statement p to ( ~ p vv q) is false, then the truth va...

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  13. Which of the following is not logically equivalent to the proposition?...

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  14. The conditional statement (p^^q) to p is

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  15. If p,q and r are simple propositions such that (p^^q)^^(q^^r) is true,...

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  16. ~(prarrq)rarr[(~p)vv(~q)] is

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  17. Consider the following statement. "If a triangle is equiangular, then...

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  18. Negation of the proposition : If we control population growth, we pros...

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  19. Consider the following statements : p: He is intelligent q: He is ...

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

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