Among the given lanthanides, the elements that exhibit the
+4 oxidation state are
Ce,
Pr,
Nd,
Tb, and
Dy.
Ce4+ is well known, for example in
CeO2​ and
CeF4​.
Pr4+ is known in compounds such as
PrO2​ and
PrF4​.
Nd4+ is known in compounds such as
NdF4​.
Tb4+ is known in compounds such as
TbO2​ and
TbF4​.
Dy4+ is known in compounds such as
DyF4​.
Pm,
Sm,
Eu, and
Gd do not show the
+4 oxidation state here;
Sm and
Eu commonly show
+2 along with
+3, while
Gd shows mainly
+3.
Thus, the number of given lanthanide elements exhibiting the
+4 oxidation state is
5.
Hence, the correct option is
5.