Hello Shivam, yes you can go for an NCHMCT- JEE exam to get into a BHM course. NCHMCT-JEE i.e. National Council for Hotel Management and Catering Technology- Joint Entrance Examination, is an exam conducted by the National Testing Agency i.e. NTA. It's an online mode of exam.

About the colleges, mostly the score cards issued by the NTA are held valid to get an entry into the courses such BHM, BSc(Hospitality and Hotel Administration). So it is obvious that after declaration of the results and a valid score card only, you can be getting an entry to any of the Hotel Management Colleges of your choice.

Hope this helps.

All the best for your journey ahead !!