Verified Solution • 2025–26 Session moderate

QJEEM16Ma04c6: JEE Main 2016 Mathematics - Class 11 JEEM16Ma04c6 Solution: The Boolean expression ( p ∧ ∼ q ) ∨ q ∨ ( ∼ p ∧ q ) is…

The Boolean expression

(p∧∼q)∨q∨(∼p∧q) is equivalent to :

Multiple Choice Options

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

Step-by-Step Verified Solution

JEE Main 2016 (Offline) Mathematics - Mathematical Reasoning Question 119 English Explanation
From the table you can see for both p ∨ q and (p ∧ ~q) ∨ q ∨ (~p ∧ q) truth table matches so they are equivalent.

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