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The logical statement [ ~ ( ~p vee q) ...

The logical statement
`[ ~ ( ~p vee q) vee (p ^^ r ) ^^ ( ~ q ^^ r ) ] `
is equivalent to

A

`(p ^^ q ) ^^ (~r) `

B

`(~p ^^ ~q) ^^ r`

C

`~ p vee r`

D

`(p ^^ ~q) vee r`

Text Solution

Verified by Experts

The correct Answer is:
A
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MCGROW HILL PUBLICATION-MATHEMATICAL REASONING -QUESTIONS FROM PREVIOUS YEARS AIEEE/ JEE MAIN PAPERS
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  2. The Boolean Expression (p ^^ ~q) vv q vv (~p ^^ q)is equivalent to:

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

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

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

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

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

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

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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 wedge q) veef (p vee ~q)) wedge (~p wedg...

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

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

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

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

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

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

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

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  18. The negation of the Boolean expression ~s vv (~ r ^^ s) is equivalent...

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  19. If the truth value of the statement p to (~q vee r) is false (F), then...

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  20. The boolean expression ~ (p rArr (~ q)) is equivalent to

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