Verified Solution • 2025–26 Session moderate

QJEEM21Mab832: JEE Main 2021 Mathematics - Class 11 JEEM21Mab832 Solution: The Boolean expression is equivalent to :

The Boolean expression (p∧∼q)⇒(q∨∼p)(p \wedge \sim q) \Rightarrow (q \vee \sim p) is equivalent to :

Multiple Choice Options

  • A q⇒pq \Rightarrow p
  • B p⇒qp \Rightarrow q
  • C ∼q⇒p\sim q \Rightarrow p
  • D p⇒ ∼qp \Rightarrow \, \sim q

Step-by-Step Verified Solution

p q ∼p\sim p ∼q\sim q p∧∼qp \wedge \sim q q∨∼pq \vee \sim p (p∧∼q)⇒(q∨∼p)(p \wedge \sim q) \Rightarrow (q \vee \sim p) p⇒qp \Rightarrow q
T F F T T F F F
F T T F F T T T
T T F F F T T T
F F T T F T T T


∴\therefore (p∧∼q)⇒(q∨∼p)(p \wedge \sim q) \Rightarrow (q \vee \sim p)

≡p⇒q\equiv p \Rightarrow q

So, option (2) is correct

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