Which is a better option for finance among IILM-Gurgaon, IILM-Greater Noida and IIMS-Pune?

At IILM University, Greater Noida, BBA courses include:

• BBA (General)
• BBA in Marketing
• BBA in Finance
• BBA in HR (Human Resource)
• BBA in Business Analytics
• BBA in Entrepreneurship

These programs teach business basics along with practical exposure and internships.

Students at IILM University, Greater Noida are shortlisted for BBA mainly based on:

• 12th class marks
• Sometimes an entrance test (if required)

Selection is based on overall academic performance.

IILM University Greater Noida offers the following BSc courses:
- BSc in Data Science
- BSc in Agricultural Engineering
- BSc in Environmental Science
- BSc in Mathematics
- BSc (Hons.) in Psychology

I don't think so 

You are not eligible by the UGC guidelines.

Yes, you can.