Mathematical Logic And Boolean Algebra Question 160
Question: The contrapositive of $ (p\vee q)\Rightarrow r $ is
[Karnataka CET 1999]
Options:
A) $ r\Rightarrow (p\vee q) $
B) $ \tilde{\ }r\Rightarrow (p\vee q) $
C) $ \tilde{\ }r\Rightarrow \ \tilde{\ }p\ \wedge \tilde{\ }q $
D) $ p\Rightarrow (q\vee r) $
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Answer:
Correct Answer: C
Solution:
Contrapositive of $ p\Rightarrow q $ is $ \tilde{\ }q\Rightarrow \ \tilde{\ }p $ \ contrapositive of $ (p\vee q)\Rightarrow r $ is $ \tilde{\ }r\Rightarrow \ \tilde{\ }(p\vee q) $ i.e. $ \tilde{\ }r\Rightarrow (\tilde{\ }p\ \wedge \tilde{\ }q) $ .
BETA
