Mathematical Logic And Boolean Algebra Question 142
Question: If p : It rains today, q : I go to school, r : I shall meet any friends and s : I shall go for a movie, then which of the following is the proposition : If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie.
Options:
A) $ \tilde{\ }(p\wedge q)\Rightarrow (r\wedge s) $
B) $ \tilde{\ }(p\ \wedge \tilde{\ }q)\Rightarrow (r\wedge s) $
C) $ \tilde{\ }(p\ \wedge q)\ \Rightarrow (r\vee s) $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Correct result is $ (\tilde{\ }p\ \vee \tilde{\ }q)\Rightarrow (r\wedge s) $ So, $ \tilde{\ }(p\wedge q)\Rightarrow (r\wedge s) $ .
BETA
