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If q is false and (p^^q)harr r is also t...

If `q` is false and `(p^^q)`harr r` is also true then which of the following are tautology (A) `(pvvr)-gt(p^^r)` (B) `(pvvr)` (C) `(p^^r)-gt(pvvr)` (D) `p^^r`

A

`(p vee q ) rarr ( p ^^ r)`

B

`p vee r `

C

`p ^^ r`

D

`(p ^^ r) rarr ( p vee r ) `

Text Solution

Verified by Experts

The correct Answer is:
D
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MCGROW HILL PUBLICATION-MATHEMATICAL REASONING -QUESTIONS FROM PREVIOUS YEARS AIEEE/ JEE MAIN PAPERS
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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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  16. If p rArr (q vee r) is false, then the truth values of p, q, r ar...

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

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