  Singularities in general relativity such as the big bang and big crunch, and
exotic singularities such as the big rip are the boundaries of the classical
spacetimes. These events are marked by a divergence in the curvature invariants
and the breakdown of the geodesic evolution. Recent progress on implementing
techniques of loop quantum gravity to cosmological models reveals that such
singularities may be generically resolved because of the quantum gravitational
effects. Due to the quantum geometry, which replaces the classical differential
geometry at the Planck scale, the big bang is replaced by a big bounce without
any assumptions on the matter content or any fine tuning. In this manuscript,
we discuss some of the main features of this approach and the results on the
generic resolution of singularities for the isotropic as well as anisotropic
models. Using effective spacetime description of the quantum theory, we show
the way quantum gravitational effects lead to the universal bounds on the
energy density, the Hubble rate and the anisotropic shear. We discuss the
geodesic completeness in the effective spacetime and the resolution of all of
the strong singularities. It turns out that despite the bounds on energy
density and the Hubble rate, there can be divergences in the curvature
invariants. However such events are geodesically extendible, with tidal forces
not strong enough to cause inevitable destruction of the in-falling objects.
