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Consider the following statements P: S...

Consider the following statements
P: Suman is brilliant
Q: Suman is rich
R: Suman is honest
The negation of the statement "Suman is brilliant and dishonest if any only if Suman is rich" can be expressed as

A

`~ ( P ^^ ~ R) harr Q `

B

`~ P ^^ (Q ^^ ~ R) `

C

`~ (Q harr (P ^^ ~ R) ) `

D

`Q harr ~ P ^^ R `

Text Solution

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The correct Answer is:
C
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Consider the following statements P: Suman is brilliant.Q: Suman is rich.R: Suman is honest.The negative of the statement. "Suman is brilliantand dishonest if and only if Suman is rich" can beexpressed as (a) ~(Q (0 P ~ R) (b) ~ Q R ^^ R (c) ~ (P ^^ ~ R) Q (d) ~ P ^^ (Q ~R)

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MCGROW HILL PUBLICATION-MATHEMATICAL REASONING -QUESTIONS FROM PREVIOUS YEARS AIEEE/ JEE MAIN PAPERS
  1. The statement p rarr ( q rarr p ) is equivalent to

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  2. Let S be a non-empty subset of R. Consider the following statement: P:...

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

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  4. The only statement among the following that is a tautology is

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  5. The negation of the statement "If I becomes a teacher, then I will o...

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  6. The statement p rarr ( q rarr p ) is equivalent to

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  7. let pto(~pvvr) is false, then truth values of p,q,r are respectively.

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

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

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

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

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

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

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

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

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

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

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

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

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

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