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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumConceptual

JEE Main 28 June 2022, Shift 1, Maths Q20

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

Let p,q,rp, q, r be three logical statements. Consider the compound statements S1:((∼p)∨q)∨((∼p)∨r)S_1:((\sim p)\vee q)\vee((\sim p)\vee r) and S2:p→(q∨r)S_2: p\to(q\vee r) Then, which of the following is NOT true ?
  1. (1)If S2S_2 is True, then S1S_1 is True
  2. (2)If S2S_2 is False, then S1S_1 is False
  3. (3)If S2S_2 is False, then S1S_1 is TrueOfficial answer
  4. (4)If S1S_1 is False, then S2S_2 is False

Official answer

Option 3

NTA final key.

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.