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JEE Main 2020 · MathsMultiple choiceSingle correctEasyConceptual

JEE Main 8 January 2020, Shift 1, Maths Q70

Question 70 of 75 in this shift, Maths question 20 of 25, Section A.

Which one of the following is a tautology ?

(1) $P\wedge(P\vee Q)$
(2) $P\vee(P\wedge Q)$
(3) $(P\wedge(P\rightarrow Q))\rightarrow Q$ Official answer
(4) $Q\rightarrow(P\wedge(P\rightarrow Q))$

Official answer

Option 3

NTA final key (Jan 2020).

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 42 of the 174 JEE Main shifts held from 2017 to 2026.