  The magnetic susceptibility of high-T_c superconductors is investigated in
the normal state using a coupled bilayer model. While this model describes in a
natural way the normal-state pseudogaps seen in c-axis optical conductivity on
underdoped samples, it predicts a weakly increasing susceptibility with
decreasing temperature and cannot explain the magnetic pseudogaps exhibited in
NMR measurements. Our result, together with some experimental evidence suggest
that the mechanism governing the c-axis optical pseudogap is different from
that for the $a-b$ plane magnetic pseudogap.
