Excitation functions were measured for the reactions 72 Ge(n,␣) 69 Zn m,g , 69 Ga(n,p) 69 Zn m,g , 70 Zn(n,2n) 69 Zn m,g , 74 Ge(n,␣) 71 Zn m,g , and 71 Ga(n,p) 71 Zn m,g over the neutron energy range of 6.3-12.4 MeV. Quasimonoenergetic neutrons in this energy range were produced via the 2 H(d,n) 3 He reaction using a deuterium gas target at the Jülich variable energy compact cyclotron. Use was made of the activation technique in combination with high-resolution HPGe-detector ␥-ray spectroscopy. In a few cases low-level  Ϫ counting was also applied. In order to decrease the interfering activities in those cases, either radiochemical separations were performed or isotopically enriched targets were used. For most of the reactions, the present measurements provide the first consistent sets of data near their thresholds. From the available experimental data, isomeric cross-section ratios were determined for the isomeric pair 69 Zn m,g in (n,␣), (n,p), and (n,2n) reactions, and for the pair 71 Zn m,g in (n,␣) and (n,p) reactions. Nuclear model calculations using the code STAPRE, which employs the Hauser-Feshbach ͑statistical model͒ and exciton model ͑precompound effects͒ formalisms, were undertaken to describe the formation of both isomeric and ground states of the products. The calculational results on the total (n,␣), (n,p), and (n,2n) cross sections agree fairly well with the experimental data. The experimental isomeric cross-section ratios, however, are reproduced only approximately by the calculation. For both the isomeric pairs investigated, the isomeric cross-section ratio in the (n,p) reaction is higher than in other reactions.