The intermolecular interaction that is dependent on the inverse cube of the distance between the molecule is:

• ion-ion interaction

• ion-dipole interaction

• London force

• hydrogen bond

B.

ion-dipole interaction

 ion-ion interaction is dependent on the square of the distance,
i.e, ion-ion interaction ∝ 1/r²
Similarly, 
ion-dipole interaction ∝ 1/r³
London forces ∝ 1/r⁶
and dipole-dipole interactions ∝ 1/r³
superficially it seems as both ions interaction and hydrogen bonding vary with the inverse cube of the distance between the molecules but when we look at the exact expressions of field (force) created in two situations it comes as,
In the case of ion-dipole interaction:

and, In the case of dipole-dipole interaction

From the above it is very clear, the ion-dipole interaction is the better answer as compared dipole-dipole interaction i.e. hydrogen bonding.