Identify the set of paramagnetic ions among the following.

Paramagnetic ions are those that contain at least one unpaired electron in their electronic configuration.

Writing the outer electronic configurations of the given ions:
$\text{V}^{+2}$: $[\text{Ar}] 3d^{3}$ (3 unpaired electrons, paramagnetic)
$\text{Co}^{+2}$: $[\text{Ar}] 3d^{7}$ (3 unpaired electrons, paramagnetic)
$\text{Ti}^{+4}$: $[\text{Ar}] 3d^{0}$ (0 unpaired electrons, diamagnetic)

$\text{Ni}^{+2}$: $[\text{Ar}] 3d^{8}$ (2 unpaired electrons, paramagnetic)
$\text{Cu}^{+2}$: $[\text{Ar}] 3d^{9}$ (1 unpaired electron, paramagnetic)
$\text{Zn}^{+2}$: $[\text{Ar}] 3d^{10}$ (0 unpaired electrons, diamagnetic)

$\text{Ti}^{+2}$: $[\text{Ar}] 3d^{2}$ (2 unpaired electrons, paramagnetic)
$\text{Cu}^{+2}$: $[\text{Ar}] 3d^{9}$ (1 unpaired electron, paramagnetic)
$\text{Mn}^{+3}$: $[\text{Ar}] 3d^{4}$ (4 unpaired electrons, paramagnetic)

$\text{Sc}^{+3}$: $[\text{Ar}] 3d^{0}$ (0 unpaired electrons, diamagnetic)
$\text{Ti}^{+3}$: $[\text{Ar}] 3d^{1}$ (1 unpaired electron, paramagnetic)
$\text{V}^{+3}$: $[\text{Ar}] 3d^{2}$ (2 unpaired electrons, paramagnetic)

The set containing only paramagnetic ions is $\text{Ti}^{+2}, \text{Cu}^{+2}, \text{Mn}^{+3}$.

Answer: $\text{Ti}^{+2}, \text{Cu}^{+2}, \text{Mn}^{+3}$