What is the job role of a digital marketing executive in India?

Well, I would imagine that the role in India does not really differ from other countries.

Depending on specific duties, I would say they would have to implement the brand strategy in digital environment, run campaigns in Search, Display, and Social Media and maybe at the executive level some Newsletters.

I would imagine that they would have to asses the results of the campaign as well, so knowledge of Google Analytics is a must.