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The proposition ~p vv( p ^^ ~ q) is eq...

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

A

`P vee ~q `

B

`p rarr ~q`

C

`p ^^ (~ q) `

D

`q rarr p `

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-MATHEMATICAL REASONING -QUESTIONS FROM PREVIOUS YEARS AIEEE/ JEE MAIN PAPERS
  1. The contra-positive of the following statement, "If the side of a squa...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. \'If you are born in India then you are citizen of India\'\' contrapos...

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  17. Which one of the following statements is not a tautology ?

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  18. For any two statements p and q, the negation of the expression p vee (...

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  19. If p rArr (q vee r) is false, then the truth values of p, q, r ar...

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  20. Which one of the following Boolean expressions is a tautology?

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