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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

`~ Q harr P ^^ R `

B

`~ Q harr ~ p vee R `

C

`~ Q harr P vee ~ R`

D

`~Q harr P ^^ ~ R `

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If q is false and (p^^q)harr r is also true then which of the followin...

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

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  18. The Boolean expression ((p wedge q) veef (p vee ~q)) wedge (~p wedg...

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  19. The logical statement [ ~ ( ~p vee q) vee (p ^^ r ) ^^ ( ~ q ^^ r ) ...

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  20. The expression ~ (~ p rarr q ) is logically equivalent to:

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