JEE Main20211 Sep 2021Evening ShiftMathematicsMathematical ReasoningActual
Which of the following is equivalent to the Boolean expression p ∧ ~ q ?
Options
- A~ p → ~ q
- B~ ( q → p )
- C~ ( p → q )
- D~ ( p → ~ q )
Correct answer
C. ~ ( p → q )
Step-by-step solution
Which of the following is equivalent to the Boolean expression p ∧ ~ q   ? For option 1 ~ p → ~ q ≡ p ∨ ~ q ≢ p ∧ ~ q For Option 2 ~ q → p ≡ ~ ~ q ∨ p ≡ q ∧ ~ p ≢ p ∧ ~ q For option 3 ~ ( p → q ) ≡ ~ ( ~ p ∨ q ) ≡ ( p ∧ ~ q ) For option 4 ~ p → ~ q ≡ ~ ~ p ∨ ~ q ≡ p ∧ q ≢ p ∧ ~ q