A) \[\tilde{\ }q\vee r\] is true
B) \[\tilde{\ }r\vee q\]is true
C) \[\tilde{\ }(q\vee r)\wedge (\tilde{\ }r\,\vee q)\]is false
D) \[p\wedge [\tilde{\ }q\vee r)\wedge (\tilde{\ }r\,\vee q)]\]is false
Correct Answer: C
Solution :
Let, \[s:p\wedge [(\tilde{\ }q\vee r)\wedge (\tilde{\ }r\vee q)]\]| \[p\] | \[q\] | \[r\] | \[\tilde{\ }q\] | \[\tilde{\ }r\] | \[\tilde{\ }q\vee r\] | \[\tilde{\ }r\vee q\] | \[(\tilde{\ }r\vee r)\vee \]\[\wedge (\tilde{\ }r\vee q)\] | \[s\] |
| F | F | F | T | T | T | T | T | F |
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