Hello Aspirant,

Congratulations. You have scored very good marks in KCET. Any rank between 1 to 20k is considered to be a very good rank in a state-level engineering entrance examination like KCET. So you got the rank 2 k which is pretty good ranking this year. With this raking you can get any of the top engineering college.

Yes, You have a very high chance of getting CSE or ISE in BMS or MSRIT with the rank you have. With some reservation like Kannada or Rural  you will get this college in first round only. If you don't get in first round try for another round you will definitely get these college. This prediction is based on previous year cut-offs.

you can use college predictor link from the given link :-

All the best ..!