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