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Consider the following statements : p:...

Consider the following statements :
p: It rains today
q: I go to school
r: I Shall meet any friends
s: I shall go for a movie
Then which of the following proposition represents 'If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie .'?

A

~(p`^^`q) `rArr` (r`^^`s)

B

~(p`^^`~q) `rArr`(r`^^`s)

C

~(p`^^`q)`rArr`(r`vv`s)

D

None of these

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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 is not a statement in logic?

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  2. For the statement "17 ia a real number or a positive integer", the "or...

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  3. Consider the following statements : p: It rains today q: I go to ...

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  4. Which of the following sentences are statements? Give reasons for you...

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

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

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

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

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

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

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

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  12. Which of the following is a contradiction

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

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  14. Which of the following is true?

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

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

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

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

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

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

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