JEE Main 2022 · 29 Jul · Shift 2 · Mathematics Q20

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MathematicsSingle correct+4 / -1Question 20 of 90

The statement $(p\Rightarrow q)\vee(p\Rightarrow r)$ is NOT equivalent to

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

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

p\Rightarrow(q\vee r)

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

Answer and worked solution

Official answer: B

Given $\equiv\ \sim p\vee q\vee r$ . A, C and D all reduce to this. B is $q\vee\sim r\vee p$ , which differs: with p and q false and r true, the given statement is true but B is false.

(B)

Topics:Mathematical reasoning

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JEE Main 2022 · 29 Jul · Shift 2, Mathematics question 20