Verified Solution • 2025–26 Session moderate

QJEEM21Ma6ab0: JEE Main 2021 Mathematics - Class 11 JEEM21Ma6ab0 Solution: Let *, ▢ ∈ { ∧ , ∨ } be such that the Boolean expression (p * ∼ …

Let *, ▢ ∈{∧, ∨} be such that the Boolean expression (p * ∼ q) ⇒ (p ▢ q) is a tautology. Then :

Multiple Choice Options

  • A * = ∨, ▢ = ∨
  • B * = ∧, ▢ = ∧
  • C * = ∧, ▢ = ∨
  • D * = ∨, ▢ = ∧

Step-by-Step Verified Solution

(p ∧ ∼ q) → (p ∨ q) is tautology

p q ∼ q p ∧ ∼ q p ∨ q (p ∧ ∼ q) → (p ∨ q)
T T F F T T
T F T T T T
F T F F T T
F F T F F T

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