Brane solutions in time \ light-cone time dependent backgrounds are of
interest in order to gain a deeper understanding of the physics associated with
cosmological and null singularities. In this paper, we report both brane
solutions and their bound states in light-cone time dependent pp wave-like
backgrounds. We show that the backgrounds our solutions live in are all
cosmologically singular (lightlike) at the classical level. A spacetime
supersymmetry analysis of the backgrounds reveals that they retain 1/8 of the
full type IIB supersymmetry