Colleges in Indore

To opt for MBA in hospital management, you must target CMAT/CAT. IMS-Indore do accepts CAT/CMAT scores. You can also look for TAPMI, IMI-Delhi, you can check the below link –
https://www.shiksha.com/hospitality-travel/hotel-hospitality-management/articles/best-colleges-for-hospital-administration-blogId-3202

Yes, you have to give exam.

Placements of chemical engineering are better than other branches of engineering.

Yes, you can. But, you have to go for the counselling procedure which is held last. There is a category to apply on the basis of board marks. You can apply for that round.

It will be difficult to get admission in SGSITS with this rank, but if you really want to get into it, you can apply for college level counselling round.

It will be very difficult to get admission with this score.

Preparing for GATE is a good option. It all depends on your interest whether you are willing to pursue BE or B.Sc.

Hello Sandip,
Please go through the link to get more insights of the colleges and branches:
https://www.resonance.ac.in/reso/news/jee-advanced-branch-allotment.aspx
However, as per the rank, your chances are there to get admission in any IIT's and NITs.

Well, there are both ups and downs of pursuing IPM from IIM-Indore. If we look at the placements of the pass-out batches, it is a promising programme. You can find the placement report at the IIM Indore's website. There is a diverse set of courses offered by IPM programme. Although students of IPM are placed in very good companies, some companies are a bit skeptical about this programme and prefer PGP students. Also, you would probably lose the chance to get into a better B-School. You should look at the course structure and decide whether you should choose it or not.