Verified Solution • 2025–26 Session moderate

QJEEM20Ma7d92: JEE Main 2020 Mathematics - Class 11 JEEM20Ma7d92 Solution: The logical statement (p ⇒ q) Λ ( q ⇒ ~p) is equivalent to :

The logical statement (p ⇒ q) Λ ( q ⇒ ~p) is equivalent to :

Multiple Choice Options

  • A q
  • B ∼p
  • C p
  • D ∼q

Step-by-Step Verified Solution

(p ⇒ q) Λ ( q ⇒ ~p)

≡ (∼p∨q)∧(∼q∨∼p)

≡ ∼p∨(q∧∼q)

≡ ∼p

As q∧∼q is a fallacy.

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