  We analyze the properties of the energy landscape of {\it finite-size} fully
connected p-spin-like models whose high temperature phase is described, in the
thermodynamic limit, by the schematic Mode Coupling Theory of super-cooled
liquids. We show that {\it finite-size} fully connected p-spin-like models,
where activated processes are possible, do exhibit properties typical of real
super-cooled liquid when both are near the critical glass transition. Our
results support the conclusion that fully-connected p-spin-like models are the
natural statistical mechanical models for studying the glass transition in
super-cooled liquids.
