Degree

Yes you can. The students who are in their final year can apply for National Eligibility Test. However, such candidates will be considered eligible for the award of assistant professor eligibility only after they pass the Masters degree final year exam.

Yes, you are eligible for the Master of Fashion Management (MFM) and Master of Design (M.Des) programs at National Institute of Fashion Technology 

Kindly go to official website and register yourself.

A Philosophy degree is indeed valuable in India. Being a Philosophy student, you'll develop skills like critical thinking, analytical skills, and communication skills, which will help you get countless job options in fields like Media, Marketing, Social Work, and so on. Not only in India, but with a Philosophy degree, you can find employment opportunities abroad as well.

Unfortunately, there are no separate degree courses in Prompt Engineering at Indian colleges, but you can study related courses like CSE, Data Science, or Artificial Intelligence and Machine Learning, which cover the basic fundamentals of prompting, NLP, and LLMs. You can further take up online certifications to advance your skills and be a part of projects or internships for future career advancement.

No, Maths is not mandatory.

For BHU's B.Com (Hons.) in Financial Markets Management, you're eligible if you had any of these in 12th: Commerce, Economics, Maths, Computer Science, Finance, or related vocational subjects. So a Commerce student without Maths is still very much eligible.