MBA Entrance Exam

First of all, you did not mention the name of department you want to take admission and your CAT score is quite low and may not get you a call for MBA (full time), but you can definitely try for other departments.

1. TA Pai Management Institute.
2. Fore School of Management - New Delhi.
3. Goa Institute of Management (GIM).
4. Institute of Management Technology (IMT) – Ghaziabad.
5. KJ Somaiya Institute of Management Studies and Research (SIMSR) – Mumbai.
6. Loyola Institute of Business Administration (LIBA) – Chennai.
7. Birla Institute of Management Technology (BIMTECH) – Noida.
8. Great Lakes Institute of Management – Chennai.

Below mentioned are the top colleges:
1. Great Lakes – Chennai.
2. Welingkar – Maharashtra.
3. IBS.

Can't surely say. Last year, the cut-off was 80 percentile. It may change this year. Anyway, you apply and let's see the rest.

1. Alliance University.
2. Christ University.
3. XIME.
4. BIMTECH.
5. Amity University.

20 marks in XAT will have percentile around 60-65. It also depends on other student's performance too.

Yes, there are some chances. You may get a call from new IIMs.

You can apply for colleges like:
1. TAPMI.
2. GIM.
3. KJ Somaiya.
4. Christ University.
5. IFMR.
6. Great Lakes.
7. XIME – Bangalore.
8. Welingkar.

There's a slightly lesser chance, but you can take it. IBS is not a good choice.

You can send your marks and clarify from the admissions team of your preferred college.