A) \[p\vee \tilde{\ }p\] is a tautology
B) \[\tilde{\ }(\tilde{\ }p)\leftrightarrow p\] is a tautology
C) \[p\wedge \tilde{\ }p\] is a contradiction
D) \[((p\wedge q)\to q)\to p\] is a tautology
Correct Answer: D
Solution :
[d] The truth value of \[\tilde{\ }(\tilde{\ }p)\leftrightarrow p\] as follow| \[p\] | \[\tilde{\ }p\] | \[\tilde{\ }(\tilde{\ }p)\] | \[\tilde{\ }(\tilde{\ }p)\to p\] | \[p\to \]\[\tilde{\ }(\tilde{\ }p)\] | \[\tilde{\ }(\tilde{\ }p)\]\[\leftrightarrow p\] |
| T | F | T | T | T | T |
| F | T | F | T | T | T |
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