Colleges in Bangalore

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

No, backlogs need to be cleared before any higher study. Clear your backlogs first because most colleges will refuse to give you admission until you do so.

For B.Com-
You must have passed 12th or have cleared the PUC,
so you are fully eligible for this course. For more information regarding admission process and fees, visit the website of the college.