You may only get a BA program in the 3rd-5th cutoff. If you are interested, then Hindi or Sanskrit Honours is also an option.

If you are looking to do B.Com.(Hons), Economics (Hons), Political Science (Hons), Geography (Hons) then probably no, you need at least 97–97.5%.

It is advised that you choose a course over college. It is much more important to do what you want to do than where you do it from.