JEE Main 2022 Mathematics question

MathematicsMathematical ReasoningJEE Main 2022

Not in JEE syllabus

Let the operations ∗, ⊙ Extra open brace or missing close brace\in {\wedge, Extra close brace or missing open brace\vee }. If (p ∗ q) ⊙ (p ⊙ ∼q) is a tautology, then the ordered pair (∗, ⊙) is

Answer: (B)

Solution

For (∗, ⊙) = (, ): (p q) (p ∼q) = p (q ∼q) = p T = T, a tautology. For (, ): (p q) (p

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Question ID VK-034780