Colleges in Bangalore

As far as I know, PES does not offer admission without the entrance exam. You can contact the college authorities for further details. Also, visit the college website:
www.pes.edu

Doon Business School would be my choice for MBA if I had to choose between RV and DBS.
The faculty is great, so is the environment.

https://www.shiksha.com/engineering/colleges/b-tech-colleges-bangalore
link for college in Bangalore like BMS College of Engineering, Bangalore, Ramaiah Institute of Technology, Bangalore are some best college in Bangalore and for more information you may prefer above link.

Top colleges in Bangalore like BMS College of Engineering, Bangalore, Ramaiah Institute of Technology, Bangalore,etc.

No problem if you are from Nepal, just go for the entrance examination and try to score more to prove your capability as you don't have the domicile, and hence you need to score as much as possible so that you could get a good rank.
All the best.

For the present year:
Tuition (includes CET fee): INR 78200
College fee: INR 12500
Hostel fee: INR 78000

Your academics scores are decent.
All the IIM A and B have a different CAT cut-off.
Like IIM-A's minimum 80%ile and the sectional cut-off is also given weightage along with class 10th, 12th and graduation marks, and work exp. Similarly, in IIM-Bangalore and Calcutta, the minimum is 90%ile and other factors matter too.

Christ (Deemed to be University) offers dual degree program where students obtain Masters of Business Administration (MBA) with either marketing or finance specialization from Christ (Deemed to be University) or Masters of Business Administration in International Business from University of Applied Sciences, Wrzburg