Colleges in Madhya Pradesh

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

Questions might be on the resume, under graduation subjects, current affairs, specialization (if anything specific) into MBA, work experience, hobbies, extracurricular activities, achievements, leadership activities, internship experience, any projects (Live or academics).
Some of the general questions like:-
1. Tell me about yourself?
2. Why MBA?
3. Strengths and Weakness?
4. Biggest Achievement and Biggest Failure in Life till now?
5. What do you think about (any hot topic in current affairs)?
6. Long-term and short goals?

Please find the complete details on: http://www.iimidr.ac.in/academic-programmes/five-year-integrated-programme-in-management-ipm/ipm-admissions-details/.

Most probably yes. If the number of candidates who fall into this criteria is more, then shortlist depends on few other parameters which can be seen through the below link.
http://www.time4education.com/CAT-MBA/Admission-Criteria/IIM-Admission-Criteria.