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It depends on the college you want to take admission in. The admission process is based on both Entrance based and merit-based. You can give the following exams after BSc in Chemistry or Biochemistry:

IIT JAM 2020-21

BHU PET 2020-21

AMU PG 2020-21

AUCET 2020-21

CUCET. The minimum criteria for most of these exams is to have scored 50% in your graduation. For more details you can click on https://www.careers360.com/courses/chemistry-course