JEE Main 2019 (Online) 10th January Evening ShiftQuestion 1
Consider the following three statements:
$P$ : $5$ is a prime number
$Q$ : $7$ is a factor of $192$
$R$ : LCM of $5$ and $7$ is $35$
Then the truth value of which one of the following statements is true?
Sets, Relations and Function
Solution
$P$ is true, $Q$ is false ($192=2^6\cdot3$), $R$ is true. Then $P\vee(\sim Q\wedge R)=T\vee T=T$, while the others are false.