For the given statements identify the sufficient condition.
$p$ : If discriminant of a quadratic equation is not a perfect square then its roots are irrational

$p: x y=y x$ is true for every real number $x$ and $y$.
$q:$ There exists real numbers $x$ and $y$ for which $xy=yx$.

Above statements are:

$p$ : If a natural number is odd, then its square is also odd.

Which of the following doesn't convey the same meaning as that by statement $p$?