JEE Main20206 Sep 2020Morning ShiftMathematicsMathematical ReasoningActual
The negation of the Boolean expression p ∨ ( ~ p ∧ q ) is equivalent to :
Options
- Ap ∧ ~ q
- B~ p ∧ ~ q
- C~ p   ∨ ~ q
- D~ p ∨ q
Correct answer
B. ~ p ∧ ~ q
Step-by-step solution
Given statement is p ∨ ( q ∧ ~ p ) ∴ Negation is ~ ( p ∨ ( q ∧ ~ p ) ) = ( ~ p ∧ ~ q ) ∨ ( ~ p ∧ p ) = ( ~ p ∧ ~ q ) ∨ c = ~ p ∧ ~ q