  Leggett-type nonlocal realist inequalities that have been derived to date are
all contingent upon suitable geometrical constraints to be strictly satisfied
by the spatial arrangement of the relevant measurement settings. This
undesirable restriction is removed in the present work by deriving appropriate
forms of nonlocal realist inequalities, one of which involve the least number
of settings compared to all such inequalities derived earlier. The way such
inequalities would provide a logically firmer basis for a clearer testing of
Leggett-type nonlocal realist model vis-a-vis quantum mechanics is explained.
