ITM Business School, Navi Mumbai

Yes, ITM is AICTE approved.
Regarding government jobs, it depends on the eligibility criteria of the job you are applying for.

Institute for technology and Management, Hyderabad is a good option for PGDM. Overall score for ITM according to smart quotient is 6.8 which is above average but it is nowhere mentioned in top 10 Hyderabad's colleges list with respect to management department. However, they do have college placement cell, so it would not be difficult for you to grab a job. Make a thorough research and then decide where you want to study, anyhow you will get a job based on your skills and talent. So, decide yourself.

Total 480 seats for all specialisation including for PGDM:
https://www.shiksha.com/Itm-Itm-Business-School-Navi-Mumbai-institute-college-listingoverviewtab-35619

BIMM is good because fee is less and placement is also high.

PGDM-IB is a great course comprising of 2 months industry internship and 3 months of an exchange program at Europe, which is compulsory. Highest package offered is Rs 14 lakhs.

Minimum package offered is Rs. 5 lakhs. Total number of seats are around 30.

There is no specific cut-off. You will be judged on all parameters.

If you are in your final year, you may apply for our course. There are no specific cutoffs for entrances. Opting for International Business must be out of your interests. The course has a semester where you will have to compulsorily go to Europe. For further information, you may check our website.

10-12 lakhs with hostel for 2 years.

Average is which you know by yourself. Grab a better job role which can take you upto heights.