Which intermolecular force or bond is primarily responsible for the solubility of cl2 in ccl4?

The basic rule of solubility is "like dissolves like". It simply means that polar compounds dissolve with each other, while nonpolar compounds dissolvewith each other. In this case, Cl₂ and CCl₄ are both nonpolar compounds. The dominant intermolecular force in this kind of substance are the dipole forces.