Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Engineering Mathematics Mathematical Logic First Order Logic
If f(x) = x is my friend, and p(x) = x is perfect. then correct logical translation of the statement “some of my friends are not perfect” is _______.
1
∀x (f(x) ∧ ¬ p(x))
2
∃x (f(x) ∧ ¬ p(x))
3
¬ (f(x) ∧ ¬ p(x))
4
∃x ( ¬ f(x) ∧ ¬ p(x))