JEE Main2018MathematicsMathematical ReasoningActual
The Boolean expression ~ p ∨ q ∨ ~ p ∧ q is equivalent to
Options
- A~ q
- B~ p
- Cp
- Dq
Correct answer
B. ~ p
Step-by-step solution
Venn diagram of ~ p ∨ q Venn diagram of ~   p ∧   q Venn diagram of ~ p ∨ q ∨ ~ p ∧ q ~ p ∨ q = ~ p ∧ ~ q ∨ ~ p ∧ q = ~ p ∧ ~ q ∨ q = ~ p ∧ T = ~ p