good evening

Hope you are absolutely fine.. Do you mean UPSC (Union Public Service Commission)..?? as per your query there is no college in Karnataka who are offering B.Sc course with UPSC preparation. To get best rank in UPSC start you preparation from now onwards with you graduation you can join coaching institute for UPSC. here is the list of top B.Sc college in Karnataka:

-> Mount Carmel College, Bangalore
-> St Johns College, Bangalore
-> College of Forestry, Sirsi
-> Nrupathunga University, Bengaluru
-> JSS Medical College, Mysore

remember that cracking UPSC is quite long journey so it is important to keep dedicated and motivate yourself.

For more information about B.Sc college in Karnataka checkout given link below:
https://university.careers360.com/colleges/list-of-bsc-degree-colleges-in-karnataka

And, for detailed information about UPSC visit given link below:
https://competition.careers360.com/articles/upsc-ias-application-form

hope you found it helpful
All the best!!!