Colleges in Madhya Pradesh

For PGDM, As soon as the CAT results are out.
For IPM, First week of March.

No, you need to go through procedure that will be around May-June. You may join in July.

Check out the link below for colleges:
https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-madhya-pradesh/44-2-113-0-0

Kindly go through the course structures, faculty and placement reports of each institute from their websites.

Hi, you can check the below-mentioned link.
Link: http://www.time4education.com/CAT-MBA/Admission-Criteria/IIM-Admission-Criteria.

Placements: http://www.iimidr.ac.in/placements/
Faculty: http://www.iimidr.ac.in/faculty/

For BBA+MBA visit : http://www.iimidr.ac.in/academic-programmes/five-year-integrated-programme-in-management-ipm/ipm-admissions-details/.
For MBA(PGDM) visit : http://www.time4education.com/CAT-MBA/Admission-Criteria/IIM-Admission-Criteria.

Yes, there are many other institutions that provide the integrated management courses in India.
Eg: IIT Kharagpur, Vinod Gupta School Of Management, NMIMS, etc.

MBA(BBA+MBA) from IIM, Indore is a full-time course. For more details, please contact the college.
Email: ipmadmissions@iimidr.ac.in
Website: www.iimidr.ac.in

Candidates satisfying the following criteria are eligible to apply for the Five-Year integrated programme in management of IIM Indore.
General and NC-OBC Category:
Minimum 60% in standard X/ SSC and standard XII/HSC or equivalent examinations, maximum 20 years of age as on July 31, 2017.
SC, ST and PWD (DA) Category: minimum 55% in standard X/ SSC and standard XII/ HSC or equivalent examinations, maximum 22 years of age as on July 31, 2017