Coimbatore

National Institute of Foundry and Forge Technology (NIFT) is Best it is a government college situated in Ranchi Jharkhand. It comes under JoSAA counseling and one can get admission by doing choice filling in JoSAA counseling. The package is decent in NIFT and good government companies visit the campus for mechanical and metallurgical engineers.

You can refer to this link -
https://www.shiksha.com/college/nehru-arts-and-science-college-coimbatore-2195

Yes, it could be a good option and this course will surely give a good boost to your career.

Round one cutoff for B.Sc. in Agriculture for general category is 69 and for ST/SC it is 52.

It has a total of 300 seats available for the BTech programme and admission to the course is based on Class 12th merit followed by TNEA Counselling.
https://www.shiksha.com/college/psg-college-of-technology-psgct-coimbatore-19398/cutoff-jee-main

Dear, do you want to know about the private or government colleges?

Debating about NIT Srinagar and Amrita Coimbatore, NIT Srinagar is far much better college than Amrita Coimbatore in terms of placements, company visited, infrastructure, campus, facilities and activities. If you are getting mechanical branch in NIT Srinagar, then I think you should take a seat in that college only as compared to Amrita Coimbatore Mechanical. So the choice is in your hands. Good luck. I hope that this will help.

It has 8 semesters and the fee is around INR 20600 per semester.

Hi.For admission detail information you can see below link
https://www.shiksha.com/university/bharathiar-university-coimbatore-1475/course-m-sc-in-mathematics-111981
Thanks