Verified Solution • 2025–26 Session moderate

QJEEM22Maf6c1: JEE Main 2022 Mathematics - Class 11 JEEM22Maf6c1 Solution: Which of the following statement is a tautology?

Which of the following statement is a tautology?

Multiple Choice Options

  • A ((∼q)∧p)∧q
  • B ((∼q)∧p)∧(p∧(∼p))
  • C ((∼q)∧p)∨(p∨(∼p))
  • D (p∧q)∧(∼p∧q))

Step-by-Step Verified Solution

∵ ((∼ q) ∧ p) ∨ (p ∨ (∼ p))

= (∼ q ∧ p) ∨ t (t is tautology)

≡ t

∴ option (C) is correct.

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