Pune

Hello Manish,
You can try for following colleges:
Symbiosis Institute of Business Management
Symbiosis Centre for Management and Human Resource Development
Department of Management Sciences, Savitribai Phule Pune University (PUMBA)
Sri Balaji Society's Balaji Institute of Modern Management (BIMM)
https://www.shiksha.com/mba/ranking/top-mba-colleges-in-pune/2-2-0-174-0

Hello,
Checkout the below link:
https://www.shiksha.com/mba/colleges/mba-colleges-accepting-cat-india?uaf[]=location&ts=108430&rf=filters&ct[]=10224&ct[]=174&ex[]=327&ed[]=et_20

Army Placements are offered through selection test and interview at AIT, Pune and if you qualify the exam you can be enrolled for training in Army.

Hi Samayak,
NIA Pune is a decent college to pursue PGDM in Insurance. It provides 100% placements (as claimed by the current students).
Kindly visit the given link for more details: http://niapune.org.in/pgdm/index.php
Hope it helps.

It vary depending upon the overall performance level of the candidates. Most of the colleges do seek a good cut off, depending upon its market credibility and it may vary for different factors.

BIMM Pune, Symbiosis Pune, Christ Bangalore, IIM Bangalore, ABBS Bangalore, XIME Bangalore, IMI Delhi, IIFT Delhi and LBSIM Delhi, are some good Institution with good placements and opportunities.

Hello,
You will have to appear for MHT CET for admission in MIT - Pune to pursue this course.

Following are the top 5 B-Schools that you can get with the score of 604 in MAT.
1) Balaji Institute of Modern Management, Pune
2) National Institute of Technology, Warangal
3) Alliance School of Business, Bangalore
4) Jaipuria Institute of Management, Lucknow
5) SCMS Cochin School of Business, Cochin