  This work explains how the presence of a Type-IV singularity (a mild
singularity) can influence the dynamics of a bouncing universe. In particular,
we examine bounce cosmology that appears with a Type-IV singularity in the
context of a ghost free Gauss-Bonnet theory of gravity. Depending on the time
of occurrence of the Type-IV singularity, three different cases may arise --
when the singularity occurs before the bounce or after the bounce or at the
instant of the bounce respectively. However in all of these cases, we find that
in the case when the singularity "globally" affects the spacetime, the scalar
power spectrum becomes red tilted and the tensor-to-scalar ratio is too large
to be consistent with the observational data. Based on these findings, we
investigate a different bouncing scenario which also appears with a Type-IV
singularity, and the singularity affects the spacetime "locally" around the
time when it occurs. As a result, and unlike to the previous scenario, the
perturbation modes in the second bouncing scenario are likely to generate far
away from the bounce in the deep contracting phase. This finally results to the
simultaneous compatibility of the observable quantities with the Planck data,
and ensures the viability of the bounce model where the Type-IV singularity has
local effects on the spacetime around the time of the singularity.
