Exam

Below mentioned are the top coaching for IIT in Aurangabad and Nashik:
1. Chate Coaching Classes – Aurangabad.
2. Bansal – Aurangabad.
3. Narayana – Aurangabad.
4. Resonance – Nashik.

You are required to score atleast 95 percentile in CAT to get admission in DFS.

The cutoff percentile for diff exams is different every year and changes every time according to the exam. There is no fixed cutoff. Last year cutoff for CAT- 86 percentile , XAT - 78percentile and CMAT - 96 percentile.
For more information
https://www.somaiya.edu/media/pdf/PGDM_Admissions_Brochure_20

It actually depends upon the individual's caliber but generally for CAT at least 6 months of preparation is required. You should at least try to start the preparation from July-August to get a decent score.

To get 6.5 bands in IELTS is not difficult at all. You just have to be familiar with the exam pattern and a practice of 1 to 2 months is enough to crack IELTS paper.
Moreover, keep in mind that IELTS is widely accepted in all European countries, while TOEFL is favoured by USA and UK.

Syllabus remains more or less the same. CMAT has GK section which is not there in CET.

Below mentioned are some of the best colleges offering MBA:
1. VIT.
2. Alliance.
3. Amrita.
4. SCMS.
5. MSRIM.
6. AIMS.
7. PSG.
8. IPE.
9. APIM.
10. BIMTECH, etc.