Anesthesiology

Eligibility for B.Sc in Operation Theatre and Anaesthesia :
Minimum 50% required in 12th with Mandatory Subjects : Chemistry, Biology, Mathematics
For more details : https://www.shiksha.com/medicine-health-sciences/paramedical/course/b-sc-in-operation-theatre-and-anaesthesia-technology-apollo-institut

Yes.
NEET is required for doing B.Sc in Anasthesia technology and Audiology and Speech Therapy!

The eligibility for this course is class 12th or equivalent examination in the Science stream with a minimum of 45% marks in Physics, Chemistry, and Biology. If you fulfil the eligibility, you can go ahead and apply.

Mentioned below are the top colleges for B.Sc. Anesthesia technology in India:
Jawaharlal Institute of Post Graduate Medical Education and Research - [JIPMER], Pondicherry
KLE University, Belgaum
Jain University - [JU], Bangalore
Sumandeep Vidyapeeth, Vadodara.

Yes, Mathematics, Chemistry, Biology are the mandatory subjects, to pursue B.Sc in Operation Theatre and Anaesthesia Technology at Apollo Institute Of Hospital Management And Allied Sciences - AIHMAS

The package could range from INR 2 to 10 Lacs. The package goes up depending on the years of experience.

It will be great if you can specify the desired college as cut off may vary college to college. I will be able to guide you better then.