JEE Main 2021 — Mathematical Reasoning Question with Solution

$(p\wedge q)\Rightarrow \left(\right(r\wedge q)\wedge p)\equiv (p\wedge q)\Rightarrow (r\wedge (p\wedge q\left)\right)\dots \dots .\left(i\right)$

Case: $I$ when $p\wedge q=T$ and $r=F$

Statement$-\left(i\right)$ is false as well as option $\left(3\right)$ is also false
option $\left(1\right),$ option $\left(2\right)$ are True so given expression is not equivalent to option $\left(1\right)$, option $\left(2\right)$

option $\left(4\right)$ may be true if we consider $q=T\therefore$ option $\left(4\right)$ is also not equivalent to option $\left(1\right)$ Case : $II$ $p\wedge q=$False