Karnataka

https://www.shiksha.com/b-tech/colleges/b-tech-colleges-bangalore?uaf[]=location&ts=8353070&rf=filters&ct[]=278&st[]=109&ed[]=et_20
Please click the link above to get a list of good engineering colleges in Bangalore and Gujarat. Choose the best college for you by comparing them with https://www.shiksha.com/resources/college-comparison

I appreciate that you are interested in International School of Management Excellence, Bangalore for Masters in business administration (MBA). As far as the college feedback is concerned, its current and passed out students who can provide you with the best ones. For the same, kindly refer to the link below for reviews by the college alumni:
https://www.shiksha.com/college/international-school-of-management-excellence-isme-bangalore-sarjapur-road-280/reviews

https://www.shiksha.com/b-tech/ranking/top-aeronautical-engineering-colleges-in-bangalore/49-2-0-278-0
Please click on the above link to get a list of best aeronautical engineering colleges in Bangalore. Choose the best college for you by comparing the colleges with https://www.shiksha.com/resources/college-comparison.

Total Fees
INR 8.00 Lakh
For Double occupancy room: 139200
Single occupancy room: 169200
Placements (as provided by college)
Companies where students got placed
99acres.com Aditya Birla Group Amazon Asian Paints Axis Bank Bosch Ltd CapGemini Fedex Express Godrej and Boyce HDFC Bank
https://www.shiksha.com/mba/course/master-of-business-administration-alliance-ascent-college-alliance-university-btm-2nd-stage-bangalore-260883

You can go for Sikkim Manipal University. It is a good college and you will get good opportunities there. It has good and helpful faculties.

You can refer the link for top colleges accepting PGCET score:
https://www.shiksha.com/mba/ranking/top-mba-colleges-in-karnataka-accepting-pgcet/2-2-106-0-9262

No, there is no entrance exam. The only eligibility they have is the candidate must have B.Sc. (Computer Science) or BCA with mathematics as one of the subjects and a minimum aggregate score of 50% in all optional (throughout 3 years B.Sc. / BCA course) or B.Sc. PCM with PG Diploma / Certificate in computer science, of duration one year.

There are many colleges accepting PGCET in Karnataka state which will be given by the below link:
http://www.minglebox.com/mba/colleges/state/karnataka/exam/pgcet

Sorry to say but you haven't cleared JEE Mains required cutoff. So, there is no way to get a good college for free. You may get admission in a private college based on your 12th percentage.