First of all, a very hearty congratulations on your score!
To find the scope of getting a B cat seat in Karnataka, you have to follow two steps:
1) First of all, you can use the rank predictor provided by Careers360 to predict your rank for 350 marks through the following link:
2) Once you receive the predicted rank, you can find out the predicted college with respect to your preferences using the college predictor provided by Careers360 through the following link (select Karnataka in the state for counseling):
After following the above two steps, I am expecting that you have gotten a rough estimate of the options in your hand.
If you are looking to find information about any particular college, please let us know and we'll get back to you.
If you still have any queries, please feel free to comment.
Let me know if the answer helped you and all the best for your future!