A) \[(\vee ,\,\,\,\vee )\]
B) \[(\wedge ,\,\,\,\wedge )\]
C) \[(\wedge ,\,\,\,\vee )\]
D) \[(\vee ,\,\,\,\wedge )\]
Correct Answer: C
Solution :
\[\left( p\text{ }\oplus \text{ }q \right)\wedge \left( \tilde{\ }p\text{ }\odot \text{ }q \right)\,\,=\,\,p\wedge q\] \[\oplus ,\,\,\odot \,\,\in \,\{\wedge ,\,\,\vee \}\] option (3) satisfy \[\left( p\wedge q \right)\wedge \left( \tilde{\ }p\vee q \right)\]| p | q | \[p\wedge q\] | \[\tilde{\ }p\] | \[\tilde{\ }p\vee q\] | \[\left( p\wedge q \right)\wedge \] \[\left( \tilde{\ }p\vee q \right)\] | \[p\wedge q\] |
| T | T | T | F | T | T | T |
| T | F | F | F | F | F | F |
| F | T | F | T | T | F | F |
| F | F | F | T | T | F | F |
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