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Sets, Relations and Function - JEE Mathematics question (JEE Main 2018 (Offline))

JEE Main 2018 (Offline)Question 1
The Boolean expression $\sim(p\vee q)\vee(\sim p\wedge q)$ is equivalent to
Sets, Relations and Function
Options for question 1, choose one

Solution

$\sim(p\vee q)\vee(\sim p\wedge q)=(\sim p\wedge\sim q)\vee(\sim p\wedge q)=\sim p\wedge(\sim q\vee q)=\sim p$.

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