The correct option is C Total number of f− electrons in Gd (at No. 64) is 8.
(A) Three possible spin quantum number means an orbital can have at the most three electrons. So 4th period involves, 4s,3d and 4p subshells.
So, maximum of electrons (and hence elements)=4s33d154p9=3+15+9=27
(B) All elements of VIII the group (i.e., 8, 9, 10 groups) are called typical transition metals. Pt also belongs to 10th group. So it is a typical transition metal.
(C) E.C. of Gd(64)=[Xe]4t75d16s2
So number of f− electrons = 7
(D) Due to ineffective shielding by 3d− electrons in Ga, size of Ga is smaller (almost equal) to that of Al
Hence (C) is correct.