JEE Main202310 Apr 2023Morning ShiftMathematicsMathematical ReasoningActual
The negation of the statement p ∨ q ∧ q ∨ ~ r is
Options
- Ap ∨ r ∧ ~ q
- B~ p ) ∨ r ∧ ~ q
- C~ p ∨ ~ q ∨ ~ r
- D~ p ∨ ~ q ∧ ~ r
Correct answer
B. ~ p ) ∨ r ∧ ~ q
Step-by-step solution
Given, p ∨ q ∧ q ∨ ~ r Now negation of above expression will be, ~ p ∨ q ∧ q ∨ ~ r = ~ p ∨ q ∨ ~ q ∨ ~ r as   ~ A ∧ B ≡ ~ A ∨ ~ B = ~ p ∧ ~ q ∨ ~ q ∧ r = ~ p ∧ ~ q ∨ ~ q ∧ ~ p ∧ ~ q ∨ r = ~ q ∧ ~ p ∨ r ∧ ~ q ∨ r = ~ q ∧ ~ p ∨ r ∧ ~ q ∧ ~ q ∨ r = ~ q ∧ ~ p ∨ r ∧ ~ q = ~ p ∨ r ∧ ~ q