NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice
The statement p ⇔ q is not equivalent to
Options
- Ap ∨ q ⇒ p ∧ q
- Bp ∧ q ⇒ p ∨ q
- Cp ∨ q ⇔ p ∧ q
- D~ p ∨ q ∨ p ∧ q
Correct answer
B. p ∧ q ⇒ p ∨ q
Step-by-step solution
A p ∨ q ⇒ p ∧ q which is same as p ⇔ q B p ∧ q ⇒ p ∨ q is tautology because p ∧ q is subset of p ∨ q C p ∨ q ⇔ p ∧ q which is same as p ⇔ q D ~ p ∨ q ∨ p ∧ q which is same as p ⇔ q