One way to settle this is to ask what each option actually measures, and then see if that quantity could ever flip a solution from "aqueous" to "non-aqueous" while keeping everything else fixed.
Only changing the solvent itself changes whether a solution counts as aqueous, which points to the solvent's nature as the deciding factor.
So the correct answer is nature of solvent.
The freezing point depression constant (\( K_f \)) for water is \( 1.86 \, {°C·kg/mol} \). If 0.5 moles of a non-volatile solute is dissolved in 1 kg of water, calculate the freezing point depression.