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Mathematical Reasoning - JEE Mathematics question (JEE Main 2021 (Online) 17th March Evening Shift)

JEE Main 2021 (Online) 17th March Evening ShiftQuestion 1
If the Boolean expression $(p\wedge q)\circledast(p\otimes q)$ is a tautology, then $\circledast$ and $\otimes$ are respectively given by :
Mathematical Reasoning
Options for question 1, choose one

Solution

$(p\wedge q)\to(p\to q)$: if $p\wedge q$ is true then $p\to q$ is true, so it is a tautology. The other pairs fail at $p=F$ or $q=F$ cases.

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