B.Sc

It may not be feasible for you to take admission in B.Sc 3rd-year directly. You may contact your college for more clarity on the subject.

Hello Mukul,
You may refer the link below for the list of B.Sc in agriculture colleges in Rajasthan:
https://www.shiksha.com/science/colleges/b-sc-agriculture-colleges-rajasthan
You are requested to use the filters for browsing a list of private colleges.

You may refer to following article for details on career opportunities after graduation degree in Food Technology: https://www.shiksha.com/hospitality-travel/hotel-hospitality-management/articles/taste-success-with-a-career-in-food-technology-blogId-5014

Employment prospects for biochemists have shown improvement in the past decade. Job opportunities are in medical institutions where there is ongoing research in fields related to cancer, AIDS, mental disorders etc., in the pharmaceutical industry where genetically engineered drugs are being developed and in agricultural research institutions. Refer https://www.shiksha.com/careers/biochemist-17 for further details.

IT is an excellent decision to do B.Sc Maths from Jadavpur University. It is on par with Delhi university.

Yes, you can. You would have applied for state entrance examination before. But since you had not gone for any test, you can apply for particular colleges, as some college provide direct admission.