After completing your chemical engineering you can go for Job in private and public sector. Many government companies recruit chemical engineers as management trainees. Some of these companies are ONGC, SAIL, IOCL and ISRO.

You can also go for higher education like M.Tech or if you are interested in management you can go for MBA.

You can also go for civil services exam you can also join Indian Army/Navy/Air Force.

Good Luck!!