Mathematical Logic And Boolean Algebra Question 58
Question: Which of the following is a contradiction
Options:
A) $ (p\wedge q)\wedge \tilde{\ }(p\vee q) $
B) $ p\vee (\tilde{\ }p\wedge q) $
C) $ (p\Rightarrow q)\Rightarrow p $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
p q pĆq pĆq $ \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 \ $ (p\wedge q)\wedge (\tilde{\ }(p\vee q)) $ is a contradiction.