Colleges in Indore

Here is a list of colleges:
-Devi Ahilya Vishwavidyalaya, Indore
-Shri Vaishnav Institute of Technology & Science-[SVITS], Indore
-Bansal Institute Of Science and Technology-[BIST], Bhopal
-Madhya Pradesh Bhoj (Open) University, Bhopal
-Lakshmi Narain College of Technology-[LNCT], Bhopal
-Shri Govindram S

Hello Avni,
Please refer to this link to get more insights of colleges and branches.
https://www.shiksha.com/resources/college-comparison.
However, Jain University is better than Medicaps-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-bl

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.