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.

\[\tilde{\ }(p\ \wedge \tilde{\ }q)\Rightarrow (r\wedge s)\]

\[\tilde{\ }(p\wedge q)\Rightarrow (r\wedge s)\]

\[\tilde{\ }(p\ \wedge q)\ \Rightarrow (r\vee s)\]

If p : It rains today, q : I go to school, r : I shall meet any friend

1.	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.
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
Answer» B. \[\tilde{\ }(p\ \wedge \tilde{\ }q)\Rightarrow (r\wedge s)\]

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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.

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