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JEE Main 2021 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 4 August 2021, Shift 1, Maths Q80

Question 80 of 90 in this shift, Maths question 20 of 30, Section A.

If

r\in\{p, q, \sim p, \sim q\}

such that the Boolean expression

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

is equivalent to

r

, then

r

is equal to

(1) $p$
(2) $q$
(3) $\sim p$
(4) $\sim q$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Mathematical Reasoning
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.