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← JEE Main 2022 · 27 Jul · Shift 1
MathematicsSingle correct+4 / -1Question 16 of 90

JEE Main 2022 · 27 Jul · Shift 1, Mathematics question 16

(p∧r)⇔(p∧(∼q))(p\wedge r)\Leftrightarrow(p\wedge(\sim q)) is equivalent to (∼p)(\sim p) when rr is

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Answer and worked solution

Official answer: C

Take r=qr=q. If p is false, both sides are false, so the biconditional is true. If p is true, it reads q⇔∼qq\Leftrightarrow\sim q, which is false. So it equals ∼p\sim p.

(C)