JEE Main 2021 (Online) 4th August Evening ShiftQuestion 1
Consider the following statements :
$p$ : Amit plays cricket
$q$ : Amit is out of Delhi.
$r$ : It is Sunday
Then the statement "Amit plays cricket only if he is in Delhi and it is Sunday" can be expressed as :
Mathematical Reasoning
Solution
"$p$ only if $X$" means $p\Rightarrow X$. Being in Delhi is $\sim q$, so $X=\sim q\wedge r$: $p\Rightarrow(\sim q\wedge r)$.