The correct options are
A Both the cations have 8 electrons in their penultimate shell.
B Difference between the total number of electrons of X and Y is 10.
D Cation X may be of element Sc.
The electronic configuration of the elements of the 3d− series,
⇒1s22s22p63s23p64s23dn
where, ′n′ varies from 1 to 10
Since both the cations (X and Y) have 8 and 18 valence electrons respectively, the difference between the number electrons of X and Y=18−8=10 (∵ Both belong to same shell)
Penultimate shell (n=2) has 8 electrons (2s2 2p6).
Electronic configuration of Scandium(Sc): 1s22s22p63s23p64s23d1
So, Sc3+(1s22s22p63s23p6) has 8 valence electrons and X may be a cation of Sc.
Electronic configuration of Nickel(Ni): 1s22s22p63s23p64s23d8
Since Nickel can have a maximum of 16 valence electrons by losing the outermost two ′4s′ electrons, cation Y cannot be Ni.