Exam

The NEET-UG examination is for pursuing MBBS and BDS courses only. You can directly get admission in any of the colleges offering physiotherapy course on the basis of the marks scored by you in 12th standard.

NCERT is the best book for NEET preparation. Here is a list of books to refer for NEET medical entrance exam:
Best biology books for NEET preparation:
NCERT Biology of Class XI and XII
Trueman's Biology Vol 1 and 2
Objective Biology by Dinesh
Pradeep Publication's Biology
GRB Bathla's Publication's for Bi

For AIIMS, you need to take a separate entrance exam. They have nothing to do with the NEET scores.

It depends on the cutoff list of the college.

No, there is no such requirement. You need not to appear for NEET to pursue B.Sc. The NEET-UG examination is for pursuing MBBS and BDS courses only.

In order to pursue MBBS from any government or deemed medical institute, you need to qualify NEET-UG examination. So, one cannot pursue MBBS without taking NEET-UG examination.

JEE Mains and Advanced are the exams written for pursuing engineering. So, other then engineering, you can't opt for any other course by qualifying JEE.

If you have completed your 10th and 12th in Thanjavur or Trichy, there is a possibility that you might get an admission in any course(getting the course of your choice is very difficult). If you are from any other part of the state then, unfortunately, it is very difficult.

You must appear in MBA entrance exams like CAT, CMAT, MAT, etc. to get admission in a good MBA college.

To get admission for MBA you must appear for the entrance exams like CAT, CMAT, MAT, etc. and get a good score.