A) \[(p\vee q)\wedge \tilde{\ }q\]
B) \[(p\wedge \tilde{\ }q)\vee q\]
C) \[(\tilde{\ }p\wedge q)\vee \tilde{\ }q\]
D) \[(p\wedge \tilde{\ }q)\vee \tilde{\ }q\]
E) \[(\tilde{\ }p\vee \tilde{\ }q)\wedge \tilde{\ }q\]
Correct Answer: C
Solution :
\[X=(p\vee \tilde{\ }q)\wedge q\]| \[p\] | \[q\] | \[\tilde{\ }p\] | \[\tilde{\ }q\] | \[p\vee \tilde{\ }q\] | \[X\] | \[(\tilde{\ }p\vee q)\] | \[A\] | \[(p\wedge \tilde{\ }q)\] | \[B\] | \[(\tilde{\ }p\wedge q)\] | \[C\] | \[D\] | \[-p\vee \tilde{\ }q\] | \[E\] | \[\tilde{\ }X\] |
| F | F | T | T | T | F | T | T | F | F | F | T | T | T | T | T |
| F | T | T | F | F | F | T | F | F | T | T | T | F | T | F | T |
| T | F | F | T | T | F | F | F | F | F | F | T | T | T | T | T |
| T | T | F | F | T | T | T | F | F | T | F | F | F | F | F | F |
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