Mathematical Logic And Boolean Algebra Question 137
Question: Consider the following statements
P: Suman is brilliant Q: Suman is rich R: Suman is honest The negation of the statement “Suman is brilliant and dishonest if and only if Suman is rich” can be expressed as
Options:
A) $ \tilde{\ }(P\wedge \tilde{\ }R)\rightarrow Q $
B) $ \tilde{\ }(P\wedge (Q\rightarrow ,\tilde{\ }R)) $
C) $ \tilde{\ }(Q\rightarrow (P\wedge \tilde{\ }R)) $
D) $ \tilde{Q} \rightarrow ,\tilde{P} \wedge R $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] Suman is brilliant and dishonest is $ P\wedge \sim R $ Suman is brilliant and dishonest iff Suman is rich is $ Qrightarrow (P\wedge \sim R) $ Negative of statement is expressed as $ \sim (Qrightarrow (P\wedge \sim R) $
BETA
