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We present and discuss a phenomenon of simultaneous generation of THz and X-ray radiation from nano-cluster jet under excitation by high-intensity femtosecond laser pulses. We found that THz and X-ray yield from the gas clusters demonstrate different dependences on the laser pulses duration. The efficiency of terahertz radiation generated from the gas clusters becomes around 5 times greater if the laser pulses of fundamental frequency are mixed in the jet together with the pulses at a double frequency in comparison with a case when the only the fundamental laser pulses with the same total energy are applied. The X-ray radiation yield remains the same in both cases as under the single- and the two-color regime of excitation.