JEE Main 2022 · 29 Jun · Shift 1 · Mathematics Q9

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MathematicsSingle correct+4 / -1Question 9 of 90

Let $\Delta\in\{\wedge,\vee,\Rightarrow,\Leftrightarrow\}$ be such that $(p\wedge q)\,\Delta\,((p\vee q)\Rightarrow q)$ is a tautology. Then $\Delta$ is equal to :

\wedge

\vee

\Rightarrow

\Leftrightarrow

Answer and worked solution

Official answer: C

Implication works. If $p\wedge q$ is true, $q$ is true, so $(p\vee q)\Rightarrow q$ is true. Hence $(p\wedge q)\Rightarrow((p\vee q)\Rightarrow q)$ is always true.

(C)

Topics:Mathematical reasoning

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JEE Main 2022 · 29 Jun · Shift 1, Mathematics question 9