Time-interleaved analog-to-digital converters ( TIADC) and quantization-interleaved ADC ( QIADC) techniques are the effective solutions to improve sampling rate and resolution of acquisition systems. The hybrid parallel acquisition system based on TIADC and QIADC offers the capability to provide a blend of varying sampling rates and resolutions, however, high sampling rate is not compatible with high resolution. In this paper, the focus is on investigating the optimal acquisition performance of the system. To this end, we analyze the effects of the sampling rate and resolution on both input noise and quantization noise in the system. It is concluded that it exists an optimal sampling rate and resolution combination for a given number of ADCs present in the system, which makes the system achieve the best acquisition accuracy. Additionally, we also analyze the impact of offset mismatch and conclude that the offset error degrades the performance of QIADC, and establish the relationship between offset error and increased bits. Theoretical analysis and simulation results demonstrate that the optimal performance of the system is achieved when the input noise power equals the quantization noise power, leading to an excellent combination of sampling rate and resolution. The maximum output signal-to-noise ratio is attained at this point.