A) ~p
B) p
C) q
D) ~q
Correct Answer: A
Solution :
\[\tilde{\ }(p\vee q)\vee (\tilde{\ }p\vee q))\] \[\equiv (\tilde{\ }p\ \wedge \tilde{\ }q)\vee (\tilde{\ }p\wedge q\]) \[\equiv \ \tilde{\ }p\wedge (\tilde{\ }q\vee q)\equiv \ \tilde{\ }p\].
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