We study the nuclear dependences of high-p T jet cross sections in one photon and one jet production in proton-nucleus collisions. We find that there exist asymmetries between the outgoing jets and photons. A convincing reason responsible for those asymmetries are demonstrated in perturbative QCD. Significant nuclear enhancements are also found in the inclusive jet cross sections.Anomalous nuclear dependences are observed in hadron-nucleus scatterings [1], as well as in some extensive experimental data [2,3]. It is shown that the inclusive cross sections for single high-p T particles rise rather faster than proportional to the atomic number A of the nuclear target, while a linear A dependence is naively expected in single scattering model. This behavior is often described as due to multiple scatterings of the partons in the nuclear matter, primarily due to double scatterings [4,5,6,7].In ref.[5], M. Luo, J. Qiu and G. Sterman showed that the anomalous nuclear enhancements in deeply inelastic scatterings and photoproductions could be described naturally in perturbative QCD, in term of a higher twist formalism. They presented the details of the use of factorization at higher twist to describe multiple scattering in nuclei. The contribution from