Statement I If p is false statement and q is true statement, then |
Statement II \[\tilde{\ }p\wedge q\]equivalent to \[\tilde{\ }(p\vee \tilde{\ }q).\] |
A) Statement I is true and Statement II is true. Statement II is the correct explanation for Statement I
B) Statement I is true and Statement II is true. Statement II is not the correct explanation for Statement I
C) Statement I is true but Statement II is false
D) Statement I is false but Statement II is true
Correct Answer: A
Solution :
Truth table is given below\[p\] | \[q\] | \[\tilde{\ }p\] | \[\tilde{\ }q\] | \[(p\vee \tilde{\ }q)\] | \[\tilde{\ }p\wedge q\] | \[\tilde{\ }(p\vee \tilde{\ }q)\] |
F | T | T | F | F | T | T |
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