JEE Main 2022 (Online) 25th July Evening ShiftQuestion 1
Consider the following statements : $P$ : Ramu is intelligent. $Q$ : Ramu is rich. $R$ : Ramu is not honest. The negation of the statement ``Ramu is intelligent and honest if and only if Ramu is not rich'' can be expressed as :
Mathematical Reasoning
Solution
With $A=P\wedge\sim R$ the statement is $A\Leftrightarrow\sim Q$; its negation is $A\Leftrightarrow Q$, i.e. $(A\wedge Q)\vee(\sim A\wedge\sim Q)$ with $\sim A=\sim P\vee R$.