According to the official website https://www.scholarship.vens.in/#1588928000428-19674281-90ed , the syllabus is based on the subjects you have studied in your qualifying class. There is no particular syllabus for the entrance examination per se. So you have to prepare from your regular class books itself. It is an online exam that will be conducted for 90 minutes in the form of Multiple Choice Questions asked at the level of your class and subjects that you have studied.