The cross sections for the reactions 92Mo(n,p)92mNb, 98Mo(n,)99Mo, and 67Zn(n,p)67Cu have been measured using an activation technique and an off-line gamma counting method at neutron energies of 1.6 and 3.7 MeV. The 7Li(p,n)7Be reaction was used as the neutron source with the proton beam from the 14-MV Bhabha Atomic Research Centre-Tata Institute of Fundamental Research Pelletron accelerator. The reaction 115In(n,n′)115mIn was used as the standard for the cross-section measurement. The measured data were compared with the predictions of the EMPIRE-2.19 statistical model code based on the Hauser-Feshbach theory and good agreement, after some adjustment of the level density parameter, is obtained for all the systems.