The correct option is A X > Y > Z
The ease of abstraction of H from a compound by chlorine radical is depends on the stability of the free radical formed.
More the stable of free radical, more will be the ease of abstraction of H radical.
Comparing (X) and (Y)
Compound (X) is more stable than (Y) because it have 3 equivalent resonating structures whereas (Y) has only 2 equivalent resonating structures. Since, the number of resonating structure will increase the stability of compounds.
Thus, radical formed by (X) is more stable and more reactive.
Hence, the correct order of reactivity toward photochemical chlorination is
(X) > (Y) > (Z)