Coimbatore

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

Anna Adarsh College for Women
Ethiraj College for Women
Jaya College of Arts and Science.

The best college for B.Com for women is SHREE RAM COLLEGE OF COMMERCE.