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For two statement p and q p : A quadri...

For two statement p and q
p : A quadrilateral is a parallelogram
q : The opposite sides are parallel
Then, the compound proposition, ''A quadrillateral is a parallelogram if and only if the opposite sides are parallel'' is represented by

A

p`vv`q

B

p`rarr`q

C

p`^^`q

D

P`harr`q

Text Solution

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The correct Answer is:
D
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DISHA PUBLICATION-MATHEMATICAL REASONING-Exercise-1 : Concept Builder
  1. If p and q are two simple propositions, then p to q is false when

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  2. Consider te following I. New Delhi is in Nepal. II. Every relation...

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  3. For two statement p and q p : A quadrilateral is a parallelogram q...

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  4. If p is true and q is false, then which of the following statements is...

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  5. Which of the following is not a statement in logic?

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

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

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

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

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

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

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

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

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

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

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  16. Which of the following is a contradiction

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

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  18. Which of the following is true?

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

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

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