CAT

It will be difficult as the cut-off is usually above 90 percentile. Still, you will have a chance if the cut-off falls this year.

Yes, you will be eligible for CAT if you show LLB as your graduation. Start preparing for CAT 2017.
All the best.

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.

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.

Apply in Jaipuria, ITM, Doon Business School, NDIM-Delhi, Amrita Business School, PSG-Coimbatore, Prestige Institute-Indore
Check the below link-
https://www.shiksha.com/colleges-accepting-cat-scores-range-60-to-70-percentile-article-11984-1
Also, check this link-
https://www.shiksha.com/mba/resources/application-forms

Usually, the cut-off for Great lakes, Chennai is more than 90 percentile however you will have some chance if the cutoffs fall this year. All the best. You can also try for BIM, Trichy and LBSIM, Delhi.

You can apply for:
1. ITM – Mumbai.
2. Welingkar – Mumbai.
3. SIES – Mumbai.
4. FMS.
5. BHU.
6. BIMTECH – Noida.
7. Christ University – Bangalore.
8. XIME – Bangalore.
9. XIMR – Mumbai.
10. NIA – Pune.
11. NL Dalmia - Mumbai.

No chance as the cutoff for SC category candidates at IIMs and IITs is around 70 percentile in CAT.