Verified Solution • 2025–26 Session moderate

QJEEM21Ma9523: JEE Main 2021 Mathematics - Class 11 JEEM21Ma9523 Solution: Which of the following is equivalent to the Boolean expression…

Which of the following is equivalent to the Boolean expression p ∧ ∼ q ?

Multiple Choice Options

  • A ∼ (q → p)
  • B ∼ p → ∼ q
  • C ∼ (p → ∼ q)
  • D ∼ (p → q)

Step-by-Step Verified Solution

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


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


p ∧ ∼ q ≡ ∼ (p → q)

Option (d)

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