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If p and q are two component statement t...

If p and q are two component statement then the negation of the compound statement `phArrq` is -

A

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

B

`(p^^~q)^^(q^^~p)`

C

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

D

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

Text Solution

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The correct Answer is:
D
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CHHAYA PUBLICATION-MATHEMATICAL REASONING -EXERCISE (Multiple Choice Type Questions)
  1. Which of the following sentences is statement ?

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  2. Which of the following sentences is not statement ?

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  3. The negation of the statements p is denoted by -

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  4. Two component statement p and q of the compound statement "p and q " d...

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  5. Two componet statement p and q of the compound statement "p or q" deno...

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  6. Two component statement p and q of the conditional statement "p and q...

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  7. Two component statement p and q of the conditional statement "p if a...

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  8. Let p and q be two component statement of the compound statement pvvq ...

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  9. Let p and q be two component statement of the compound statement p^^q ...

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  10. Let p and q be two component statement of the compound statement prArr...

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  11. Let p and q be two component statement of the compound statement phArr...

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  12. If p and q are two component statement then the negation of the compou...

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  13. The phrase "there exist " is known as -

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  14. p : The sum of 5 and 7 is 11 . The negation of the given statement is ...

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  15. p:[AA x in NN,p^(2)+p+29 is a prime number.] the negation of the given...

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  16. the five statements are given below : p : The sun is a star ltbgt q...

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  17. Given , P : Seven plus two is nine q : Every parallelogam is a rec...

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  18. Given sentence if statement then write 's' otherwise '$' p : Three p...

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