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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumConceptual

JEE Main 26 June 2022, Shift 1, Maths Q20

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

Let Δ,∇∈{∧,∨}\Delta, \nabla \in \{\wedge, \vee\} be such that p ∇ q⇒((p Δ q) ∇ r)p \,\nabla\, q \Rightarrow ((p \,\Delta\, q) \,\nabla\, r) is a tautology. Then (p ∇ q) Δ r(p \,\nabla\, q) \,\Delta\, r is logically equivalent to :
  1. (1)(p Δ r)∨q(p \,\Delta\, r) \vee qOfficial answer
  2. (2)(p Δ r)∧q(p \,\Delta\, r) \wedge q
  3. (3)(p∧r) Δ q(p \wedge r) \,\Delta\, q
  4. (4)(p ∇ r)∧q(p \,\nabla\, r) \wedge q

Official answer

Option 1

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.