With the advent of high-current high-energy proton accelerators used as pulsed neutron sources for condensed matter studies, interest in extending neutron scattering measurements to the eV region has increased. Among the instruments proposed is the resonance-detector spectrometer (RDS) which uses the sharp low-energy nuclear resonances (usually capture) to define the energy of the scattered neutron. These spectrometers require detectors with high efficiency and good background rejection. Two promising candidates for such detectors, a bismuth germanate (BGO) scintillator and a high-purity germanium (HPGe) detector have been tested at the NBS neutron time-of-flight facility. These tests used simple recoil scattering at high scattering angles and several different resonance foils. Efficiencies and signal to background ratios were measured.