JEE Main 2022 — Mathematical Reasoning Question with Solution

Given,
$\mathit{p}:$ Ramesh listens to music.
$\mathit{q}:$ Ramesh is out of his village
$\mathit{r}:$ It is Sunday
$\mathit{s}\mathbf{:}$ It is Saturday

Then the statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday" can be expressed as

Now on breaking each statement and combining them we get,

$p\equiv$ Ramesh listens to music

$~q\equiv$ He is in village.

$r\vee s\equiv$ Saturday or Sunday

So, on combining all statement we get,

$p\Rightarrow \left(\left(~q\right)\wedge \left(r\vee s\right)\right)$