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~ ( p vv q) vv ( ~ p ^^ q) is logically...

` ~ ( p vv q) vv ( ~ p ^^ q) `is logically equivalent to

A

p

B

q

C

`~p`

D

`~q `

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-MATHEMATICAL REASONING -QUESTIONS FROM PREVIOUS YEARS AIEEE/ JEE MAIN PAPERS
  1. The statement ~(p harr ~q) is

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  2. The contra-positive of the statement "if I am not feel- ing well, then...

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  3. ~ ( p vv q) vv ( ~ p ^^ q) is logically equivalent to

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  4. Let p, q and r denote three arbitrary statements. The logically equiva...

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  5. The contrapositive of the statement I go toschool if it does not rain'...

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  6. The negation of ~ svv(~ r^^s) is equivalent to : (1) s^^~ r (2) ...

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  7. Contra-positive of the statement "If it is raining then I will not com...

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  8. Consider the following statements P: Suman is brilliant Q: Suman i...

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  9. The Boolean Expression (p ^^ ~q) vv q vv (~p ^^ q)is equivalent to:

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  10. Consider the following statements. p : if 7 is an odd number , then ...

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  11. The contra-positive of the following statement, "If the side of a squa...

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  12. The following statement: ( p rarr q ) rarr [ ( ~ p rarr q ) rarr q ...

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  13. The proposition ~p vv( p ^^ ~ q) is equivalent to

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  14. Contrapositive of the statement ''If two numbers are not equal, then t...

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  15. The Boolean Expression (p ^^ ~q) vv q vv (~p ^^ q)is equivalent to:

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  16. If (p ^^ ~q) ^^ ( p ^^ r) rarr ~ p vee r is false, then the truth va...

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  17. Consider the following two statements : Statement p : The value of...

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  18. If p to (~ p vvq) is false, the truth values of p and q are , respecti...

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  19. If the Boolean expression (po+q)^^(~psquareq) is equivalent to p^^q ...

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  20. Given three statements P: 5 is a prime number, Q:7 is a factor of 192,...

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