Consider the following statements in respect of three $3$-digit numbers $XYZ, YZX$ and $ZXY$:

$1)$ The sum of the numbers is divisible by $(X + Y + Z)$.

$2)$ The sum of the numbers is divisible by $111$.

Which of the above statements is/are correct?

The number of sides of two regular polygons is in the ratio $5 : 4$. The difference between their interior angles is $9°$. Consider the following statements:

$1)$ One of them is a pentagon and the other is a rectangle.

$2)$ One of them is a decagon and the other is an octagon.

$3)$ The sum of their exterior angles is $720°$.

Which of the above statements is/are correct?

If$ab+bc+ca=0$, then the value of

$\frac{\left(b^2-ac\right)\left(c^2-ab\right)+\left(a^2-bc\right)\left(c^2-ab\right)+\left(b^2-ac\right)\left(a^2-bc\right)}{\left(a^2-bc\right)\left(c^2-ab\right)\left(b^2-ac\right)}$is