A) \[p\wedge q\]
B) \[p\vee q\]
C) \[p\,\vee \tilde{\ }q\]
D) \[\tilde{\ }p\wedge q\]
Correct Answer: B
Solution :
[b] \[[(p\wedge \sim q)\vee q]\vee (\sim p\wedge q)\] =\[(p\vee q)\wedge (\sim q\vee q)\vee (\sim p\wedge q)\] \[=(p\vee q)\wedge [t\vee (\sim p\wedge q)]\] \[=(p\vee q)\wedge t\] \[=p\vee q\]
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