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Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceOtherMediumApplication

JEE Main 24 February 2021, Shift 2, Maths Q77

Question 77 of 90 in this shift, Maths question 17 of 30, Section A.

For the statements p and q, consider the following compound statements : (a) (∼q∧(p→q))→∼p(\sim q\wedge(p\to q))\to\sim p (b) ((p∨q)∧∼p)→q((p\vee q)\wedge\sim p)\to q Then which of the following statements is correct ?
  1. (1)(a) is a tautology but not (b).
  2. (2)(b) is a tautology but not (a).
  3. (3)(a) and (b) both are tautologies.Official answer
  4. (4)(a) and (b) both are not tautologies.

Official answer

Option 3

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.