Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Engineering Mathematics Mathematical Logic First Order Logic
Which one of the following options is CORRECT given three positive integers x, y and z, and a predicate
P(x)= - (x = 1) ∧ ∀ y(∃z(x=y*z) ⇒ (y = x) ∨ (y = 1))
1
P(x) being true means that x is a prime number
2
P(x) being true means that x is a number other than 1
3
P(x) is always true irrespective of the value of x
4
P(x) being true means that x has exactly two factors other than 1 and x