Check Statement I:
1. $(\text{Sc}^{3+}, \text{Ti}^{3+})$: $\text{Sc}^{3+}$ ($3d^0$, colorless), $\text{Ti}^{3+}$ ($3d^1$, colored). Not both colored.
2. $(\text{Ti}^{4+}, \text{Ni}^{2+})$: $\text{Ti}^{4+}$ ($3d^0$, colorless), $\text{Ni}^{2+}$ ($3d^8$, colored). Not both colored.
3. $(\text{Cu}^{2+}, \text{Zn}^{2+})$: $\text{Cu}^{2+}$ ($3d^9$, colored), $\text{Zn}^{2+}$ ($3d^{10}$, colorless). Not both colored.
4. $(\text{Cr}^{3+}, \text{Mn}^{3+})$: $\text{Cr}^{3+}$ ($3d^3$, colored), $\text{Mn}^{3+}$ ($3d^4$, colored). Both colored.
Only one pair consists of ions that are both colored. Statement I says "three pairs", which is False.
Check Statement II:
Lanthanides are most stable in the $+3$ oxidation state.
$\text{Tb}^{4+}$ ($4f^7$) tends to gain an electron to become $\text{Tb}^{3+}$ ($4f^8$). Since it gains electrons, it acts as an oxidizing agent.
$\text{Eu}^{2+}$ ($4f^7$) tends to lose an electron to become $\text{Eu}^{3+}$ ($4f^6$). Since it loses electrons, it acts as a reducing agent.
$\text{Tb}^{4+}$ is an oxidizing agent, not a reducing agent. Statement II is False.
Both statements are false.