Hi Mohit! 

Yes you are eligible to take FCI exam with your B.Sc in chemistry. I will tell you some points to remember 

• A CANDIDATE CAN APPLY IN ANY ONE ZONE ONLY i.e. EITHER NORTH ZONE OR SOUTH ZONE OR EAST ZONE OR WEST ZONE OR NORTH EAST ZONE.
• A CANDIDATE CAN APPLY ONLY FOR ANY ONE OF THE POST CODE A, B, C, D, E, F, G, H AND I (WITHIN THE ZONE).

Visit this link for more details

https://www.biotecnika.org/2019/02/food-corporation-of-india-recruitment-2019/

Dear candidate,

Food Corporation of India (FCI) is one of the largest Public Sector Undertakings ensuring the food security of the Nation. Before applying for the FCI posts, candidates should satisfy themselves that they fulfill all the eligibility norms including age, upper age limit, educational qualification(s) and Work Experience

You are eligible for AG-III (General), AG-III (Technical), AG-III (Depot).

attaching a link below for you to check

https://m.jagranjosh.com/articles/fci-eligibility-criteria-1551081985-1