Hello Aspirant
You haven't specified any field in which you are interested to pursue a career. Let me tell you that you can do General BSc with subjects other than chemistry, but you can't go for fields such as NEET UG and Jee Mains, that is, Medical and engineering.
This way, you'll get eligible for most of the exams and get a career of your choice. Hope this helps.
Good luck!
All the best
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile