1. Diamagnetic ions have no unpaired electrons.
2. $Ce^{4+}$ ([Xe]) has no unpaired electrons.
3. $Yb^{2+}$ ([Xe]$4f^{14}$) has fully paired 4$f$-orbitals.
Diamagnetic ions are those that do not have unpaired electrons, meaning their electron configuration is fully paired.
The correct answer is:
Option (1): Ce⁴⁺ and Yb²⁺ are diamagnetic.