Mathematical Logic And Boolean Algebra Question 68
Question: Which of the following is a contradiction?
Options:
A) $ (p\wedge q)\wedge \tilde{\ }(p\vee q) $
B) $ p\vee (-p\wedge q) $
C) $ (p\Rightarrow q)\Rightarrow p $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ p $ $ q $ $ p\wedge q $ $ p\vee q $ $ \tilde{\ }(p\vee q) $ $ (p\wedge q)\wedge $ $ \tilde{\ }(p\vee q) $ T T T T F F T F F T F F F T F T F F F F F F T F
$ \therefore (p\wedge q)\wedge (\tilde{\ }(p\vee q)) $ is a contradiction.
BETA
