  In this paper, we investigate the viscous modified Chaplygin gas cosmological
model. Solutions for different values of the viscosity parameter are obtained
using both analytical and numerical methods. We have calculated the
deceleration and defined {\em newly} statefinder $\{r, s \}$ pair in D
dimensions. It is shown that when $D=4$, the usual statefinder parameters are
recovered. Furthermore, we apply the statefinder diagnostic to the MCG model
with and without viscosity in $D$ dimensions and explore these parameters
graphically.
