Mathematical Logic And Boolean Algebra Question 157
Question: The negative of $ q\ \vee \tilde{\ }(p\wedge r) $ is
[Karnataka CET 1997]
Options:
A) $ \tilde{\ }q\ \wedge \tilde{\ }(p\wedge r) $
B) $ \tilde{\ }q\wedge (p\wedge r) $
C) $ \tilde{\ }q\vee (p\wedge r) $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ \tilde{\ }(q\ \vee \tilde{\ }(p\wedge r))=\ \tilde{\ }q\wedge (\tilde{\ }(\tilde{\ }(p\wedge r))=\ \tilde{\ }q\wedge (p\wedge r) $ .