⇒ Mathematical Logic

6. ⇒  (MHT CET 2021 20th September Evening Shift )

p : It rains today

q : I am going to school

r : I will meet my friend

s : I will go to watch a movie.

Then symbolic form of the statement "If it does not rain today or I won't go to school, then I will meet my friend and I will go to watch a movie" is

A. $\sim (\mathrm{p}\vee \mathrm{q})\to (\mathrm{r}\vee \mathrm{s})$

B. $(\mathrm{p}\wedge \mathrm{q})\to (\mathrm{r}\vee \mathrm{s})$

C. $\sim (\mathrm{p}\wedge \mathrm{q})\to (\mathrm{r}\wedge \mathrm{s})$

D. $(\sim \mathrm{p}\wedge \mathrm{q})\to (\mathrm{r}\wedge \mathrm{s})$