GATE Computer Science (CS) 2011 Solved Paper

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Question : 40 of 65

Marks: +1, -0

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))

P(x) being true means that x is a prime number
P(x) being true means that x is a number other than 1
P(x) is always true irrespective of the value of x
P(x) being true means that x has exactly two factors other than 1 and x

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