Q30

MCQ2 marks, −0.67

Which one of the following options is CORRECT given three positive integers $x, y$ and $z$ , and a predicate

P\left(x\right) = \neg \left(x=1\right)\wedge \forall y \left(\exists z\left(x=y*z\right) \Rightarrow \left(y=x\right) \vee \left(y=1\right) \right)

(A)

$P(x)$ being true means that $x$ is a prime number

(B)

$P(x)$ being true means that $x$ is a number other than $1$

(C)

$P(x)$ is always true irrespective of the value of $x$

(D)

$P(x)$ being true means that $x$ has exactly two factors other than $1$ and $x$

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