BITS Pilani - Birla Institute of Technology and Science

Yes, you can apply for BITS, Pilani. You will get a GDPI call from them. Also, you can apply for ITM-Mumbai, Balaji Institutes-Pune, BIMTECH-Noida and Christ University, Bangalore.

Yes sure.
Anyone can go for MBA after having a graduation degree.
Remember,having a good percentile in CAT gives you an opportunity to get admission in good college such as IIM, Good B-school etc.

Welingkar Bangalore and Christ Bangalore are decent college wher eyou may have chances, BITS pilani has higher cutoff, Welingkar Mumbai goes above 80percentile.

You have a chance of getting a call based on your profile, as selection is based on CAT scores as well as overall profile.

If you fulfill the eligibility criteria i.e.B.E./B.Tech in engineering disciplines or a Masters Degree in any discipline from any recognized university or any Integrated first degree of BITS. Candidates should have obtained minimum of 60% aggregate marks in qualifying degree.
The shortlisting is based on CAT scores and overall profile, with such percentile you have a chance of getting a call for GD & PI.

You are not eligible.
Following is the eligibility:
B.E./B.Tech in Engineering disciplines or a Masters Degree in any discipline from any
recognized university or any Integrated First Degree of BITS. Candidates should have obtained minimum
of 60% aggregate marks in qualifying degree.

The short-listing is done on basis of CAT scores and overall profile too.
With such percentile, there are less chances of getting a call.

You have negligible chances for any good college.

Stick to the basics and also focus on english and logical reasoning part as full marks can be scored in those sections.