JEE Previous Year Question
Boolean expression (p ⇒ q) ∧ (q ⇒∼ p) is equivalent to :
Topic: JEE PYQ
Answer: D. Full step-by-step solution below.
- A∼ q
- Bq
- Cp∧q
- D
Correct answer: D
Solution
(d)(p → q) ∧ (q →∼ p)
= (∼ p ∨ q) ∧ (∼ q∨∼p){p → q
=∼ p ∨ q} = (∼ p ∨ q) ∧ (∼ p∨∼ q) {commutative property}
=∼ p ∨ (q∧∼ q) distributive property
=∼ p