B.Sc

Hi Abhjeet,
Surprisingly, you want to do BSC (Hons) now at this age.
Happy to know this.
Yes, you are eligible to study further. There is no age bar.
Just out of Curosity : Do you want to further study due to passion or to enhance your career further ?
If it is for career I have a different suggestion. Let me know.

DU has a very efficient and reliable placement cell. You don't need to worry about the placements as you will easily get good one.

37 is a very good rank and you should definitely get call for admission in the first round of counseling itself.

https://www.shiksha.com/engineering/colleges/agriculture-farm-engineering-colleges-india?rf=searchWidget&landing=ctp
please visit the link above.

You may go for the below link :
https://www.shiksha.com/science/course/b-sc-national-p-g-college-npgc-lucknow-247400

Yes, according to your category, your rank is good enough to get admission here. Good luck.

Hi,
It is not possible to do B.Sc Private, as it is a course with practical subjects so will have to do B.Sc Regular only and not private. Good luck.

Yes, you can study M.Sc Medical biochemistry after completing B.Sc Hons biochemistry.

Yes, you should take admission in B.Sc, BA, and B.Com with any branch you like. After then, you can apply for different entrance exam like AFCAT CDS INET, SSC etc. You can take admission in any Coaching centre for preparation. I will say Go for B.Sc or B.Tech, as they provide more opportunities to join in Technical branch of Army, Navy and Airforce.

If anyone can interested in pursuing M.Sc in Chiropractic, candidate can apply for this course after completing B.Sc.