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The statement ~(p harr ~q) is...

The statement `~(p harr ~q) ` is

A

equivaJent to `~ p harr q `

B

a tautology

C

a fallacy

D

equivalent to p `harr ` q

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-MATHEMATICAL REASONING -QUESTIONS FROM PREVIOUS YEARS AIEEE/ JEE MAIN PAPERS
  1. let pto(~pvvr) is false, then truth values of p,q,r are respectively.

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  2. For integers m and n, both greater than 1, consider the following thre...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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