JEE Main202225 Jun 2022Evening ShiftMathematicsMathematical ReasoningActual
The negation of the Boolean expression ~ q ∧ p ⇒ ~ p ∨ q is logically equivalent to
Options
- Ap ⇒ q
- Bq ⇒ p
- C~ p ⇒ q
- D~ q ⇒ p
Correct answer
C. ~ p ⇒ q
Step-by-step solution
To find negation of ( ~ q ∧ p → ~ p ∨ q Let ~ q ∧ p = A & ~ p ∨ q = B ~ A → B = ~ ~ A ∨ B = A ∧ ~ B Using above formula be get ~ q ∧ p ∧ ~ ~ p ∨ q = ~ q ∧ p ∧ p ∧ ~ q = A ∧ A = A = ~ q ∧ p = p ∧ ~ q or ~ p → q