  Universal relations are important in testing many theories of physics. In the
case of general relativity, we have the celebrated no-hair theorem for black
holes. Unfortunately, the other compact stars, like neutron stars and white
dwarfs, do not have such universal relation. However, neutron stars (and quark
stars) have recently been found to follow certain universality, the I-Love-Q
relations. These relations can provide a greater understanding of the
structural and macro properties of compact astrophysical objects with knowledge
of any one of the observables. The reason behind this is the lack of
sensitivity to the relations with the equation of state of matter. In our
present work, we have investigated the consistency of universal relations for a
generic family of equations of state, which follows all the recent
astrophysical constraints. Although the spread in the EoS is significant the
universal nature of the trio holds relatively well up to a certain tolerance
limit. The deviation from universality is seen to cross the tolerance limit
with EoS, which is characteristically different from the original set.
