The correct statements with respect to the above pair of reactions are that
(I) The reactions are stereospecific
(II) (X) is erythro and (Y) is erythroisomer
(III) (X) is threo and (Y) is erythro isomer
(IV) each of (P) and (Q) gives a mixture of (X) and (Y)
As refer to the above image X and Y are same but have different configuration from Racemic and meso.
So, the reactions are stereospecific.