Which of the following is incorrect for the indicated property?

$X$,$Y$,and $Z$ are elements of the same period and belong to the $p$-block. $Y$ has a positive value of $\Delta_{eg}H$ (electron gain enthalpy),and $Z$ has the highest $2^{nd}$ ionization energy $(I.E.)$ among them. What is the correct order of their atomic numbers?
$(a)$ $X < Y < Z$
$(b)$ $X < Z < Y$
$(c)$ $Y < Z < X$
$(d)$ $Z < Y < X$

Given below are two statements :
Statement $I$ : $K > Mg > Al > B$ is the correct order in terms of metallic character.
Statement $II$ : Atomic radius is always greater than the ionic radius for any element.
In the light of the above statements,choose the correct answer from the options given below

Based on the provided periodic table segment,identify the incorrect statement.

Identify the incorrect statement from the following:

Consider the following orders :-
$(I)$ $Li > Na$ (Reducing nature)
$(II)$ $BF_3 > BCl_3 > BBr_3 > BI_3$ (Rate of hydrolysis)
$(III)$ $B > C > N > O > F$ ($1^{st}$ ionization energy)
$(IV)$ $CCl_4 > SiCl_4$ (Boiling point)
The $CORRECT$ order$(s)$ are :-