In this paper we study the dia and paramagnetic susceptibilities in the quantum wires of dilute magnetic materials in the presence of a parallel magnetic field on the basis of a newly formulated electron dispersion law. It is found, taking quantum wires of Hg1-xMnxTe and Cd1-xMnxSe as examples, that both the susceptibilities increase with decreasing electron concentration and decreasing film thickness respectively in the quantum limit. The paramagnetic to diamagnetic susceptibility ratio for electrons in quantum wires of dilute materials deviates from the well known 1/3 rd rule together with the fact that there is a critical zone within which quenching of the diamagnetic susceptibility occurs.