we studied a type of coupled HI-mKdV systems. We presented all possible consistent local and Ablowitz-Musslimani type nonlocal reductions for general $N$. We obtained the Hirota bilinear forms of the systems and recalled the multi-soliton solutions expressed by pfaffians for any $N$. We mentioned about local and nonlocal reductions of the coupled HI-mKdV system for $N=2$ and one-soliton solution of the reduced systems which have been already presented in our previous works. We examined all possible reductions for $N=3$. We noticed that the system for $N=3$ has reductions to systems of two equations but if we use Type 1 approach to find one-soliton solution of these systems, because of the set of the constraints obtained, these systems of two equations reduce to single equations. We studied the case for $N=4$ in detail. We found one-soliton solution of $N=4$ coupled HI-mKdV system by using the pfaffians. We have two local and two nonlocal consistent reductions for this system. These reductions yield local and nonlocal systems of two equations. By using the one-soliton solution of the system with the reductions we also obtained one-soliton solutions of the local and nonlocal reduced systems by the help of Type 1 and Type 2 approaches.

