Sri Jayachamarajendra College of Engineering, JSS STU

Talking of Mechanical Engineering:
Thanks to the reservation system, it depends on your caste. If you're from SC/ST, a rank of somewhere around 200 would be enough. If you belong to the OBC categories then a rank of around 100150 would do. Here comes the big one!
If you're from general category, you need to have a rank of around 25! Yes it's 25 only. Speaking of other branches, you can just take twice the ranks I mentioned. Visit for details: http://www.btechadmission.co.in/.

You will get the below mentioned colleges with 6000 GM rank for CSE in COMEDK 2019-20 :
1. DSCE
2. BMSIT
3. SJCE
4. NIE
Visit for details: http://www.btechadmission.co.in/.

COMEDK board exam's cutoff is average 60% in PCM.

In SJCE, they offer MBA in full time.
Some colleges provide MBA in distance learning mode:
Amity
Symbiosis
Good luck!

Both of them are equally good. The placement of both the colleges are equally good and companies provide really good packages. It is totally depends on you. Good luck.