JEE Main 2014 · 11 Apr · Shift 1 · Mathematics Q90

MathematicsSingle correct+4 / -1Question 90 of 90

The proposition $\sim(p\vee\sim q)\vee\sim(p\vee q)$ is logically equivalent to :

\sim p

\sim q

Answer and worked solution

Official answer: C

$\sim(p\vee\sim q)=\sim p\wedge q$ and $\sim(p\vee q)=\sim p\wedge\sim q$ . Their disjunction is $\sim p\wedge(q\vee\sim q)=\sim p$ .

JEE Main 2014 · 11 Apr · Shift 1, Mathematics question 90