JEE Main 2014 · 12 Apr · Shift 1 · Mathematics Q90

MathematicsSingle correct+4 / -1Question 90 of 90

Let p, q, r denote arbitrary statements. Then the logically equivalent of the statement $p\Rightarrow(q\vee r)$ is :

(p\vee q)\Rightarrow r

(p\Rightarrow q)\vee(p\Rightarrow r)

(p\Rightarrow\sim q)\wedge(p\Rightarrow r)

(p\Rightarrow q)\wedge(p\Rightarrow\sim r)

Answer and worked solution

Official answer: B

$p\Rightarrow(q\vee r)\equiv\sim p\vee q\vee r\equiv(\sim p\vee q)\vee(\sim p\vee r)\equiv(p\Rightarrow q)\vee(p\Rightarrow r)$ .

JEE Main 2014 · 12 Apr · Shift 1, Mathematics question 90