Mathematical Logic And Boolean Algebra Question 7
Question: The false statement in the following is
[Karnataka CET 2002]
Options:
A) $ p\wedge (\tilde{\ }p) $ is a contradiction
B) $ (p\Rightarrow q)\Leftrightarrow (\tilde{\ }q\Rightarrow \ \tilde{\ }p) $ is a contradiction
C) $ \tilde{\ }(\tilde{\ }p)\Leftrightarrow p $ is a tautology
D) $ p\vee (\tilde{\ }p) $ Û is a tautology
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Answer:
Correct Answer: B
Solution:
$ p\Rightarrow q $ is logically equivalent to $ \tilde{\ }q\Rightarrow \ \tilde{\ }p $ \ $ (p\Rightarrow q)\Leftrightarrow (\tilde{\ }q\Rightarrow \ \tilde{\ }p) $ is a tautology but not a contradiction.
BETA
