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BITS Pilani does not provide 10+2 degree programs like Bachelor of Science, Bachelor of Science (Hons), Bachelor of Arts, Bachelor of Arts ( Hons), etc. It offers courses such as Bachelor of Engineering (Hons), Bachelor of Pharmacy (Hons), Masters of Science, and M.Sc. (tech). It also offers some higher degree courses like Master of Engineering, Master of Pharmacy, and Master of Philosophy. In Physics BITS Pilani offers only a Master of Science in Physics and Ph.D. in Physics only. Some of the top colleges that provide astronomy courses are listed below:
1- Indian Institute of Science, Bangalore.
2- Radio Astronomy Center, Tamilnadu.
3- Indian Institute of Astrophysics, Bangalore. I hope this will help you.

First of all, you have not mentioned a course, so it is difficult to provide each and every course information. However, the eligibility criteria for the Post Basic B.Sc. In Nursing course are as follows: students must have passed 10+2 from a recognised board. Students must have obtained a Certificate in GNM and registered as R. N. R. M. with the J&K Paramedical Nursing Council. A male nurse, trained before the implementation of the new integrated course, besides being registered as a nurse with the J&K Paramedical Nursing Council, shall produce evidence of training approved by the INC for a similar duration in lieu of midwifery in any one of the areas such as ophthalmic nursing, psychiatric nursing, O. T. techniques, leprosy nursing, T. B. nursing, community health nursing, cancer nursing, neurological and neurosurgical nursing, and orthopedic nursing. Students must be residents of the UT of Ladakh or the UT of J&K. For students belonging to the UT of Ladakh, the ST Certificate issued by the Competent Authority of Ladakh shall be treated as a domicile Certificate. Eligibility criteria for GNM:
Students must have passed 10+2 or an equivalent examination from a recognised board with Science, Arts, and English securing a min aggregate of 40 percent marks for the open category and 35 percent marks for the reserved category. Students with a 10+2 English Certificate who have received 40% of their marks in the vocational stream Health Care Science from a recognised CBSE board or center are also eligible. Students appearing in their final year of exams may also apply on a provisional basis. Students must be at least 17 years old and not more than 35 years old as of December 31, 2022. However, for lateral entry into GNM courses, candidates who have a Diploma in FMPHW, MMPHW, or an ANM course registered with the J&K Paramedical Nursing Council will be eligible for the GNM course, and there will be no age bar for such students. A registered ANM with a 40 percent grade point average who is also medically fit. For more course details, you may use the Shiksha Rajiv Gandhi College of Nursing, Jammu page. (https://www.shiksha.com/college/rajiv-gandhi-college-of-nursing-Jammu-151853)
I hope this will help you.