  The simplest realizations of the new inflationary scenario typically give
rise to primordial density fluctuations which deviate logarithmically from the
scale free Harrison - Zeldovich spectrum. We consider a number of such examples
and, in each case we normalize the amplitude of the fluctuations with the
recent COBE measurement of the microwave background anisotropy. The predictions
for the bulk velocities as well as anisotropies on smaller (~1-2 degrees)
angular scales are compared with the Harrison-Zeldovich case. Deviations from
the latter range from a few to about 15 percent. We also estimate the redshift
beyond which the quasars would not be expected to be seen. The inflationary
quasar cutoff redshifts can vary by as much as 25\% from the Harrison-Zeldovich
case. We find that the inflationary scenario provides a good starting point for
a theory of large scale structure in the universe provided the dark matter is a
combination of cold plus (~10-30 \%) hot components.
