Indian Institute of Science Bangalore Answered Questions

IISc Bangalore is offering the following Integrated Ph.D. programs as under:
1. Biological Science
2. Chemical Science
3. Physical Science
4. Mathematical Science
So from above IISc Bangalore does not offers Integrated PHD in environmental science. However, IISc is offering the M.Tech (/Research)/PHD program in Earth Science. For more details please visit https://www.iisc.ac.in/

Stream: Astrophysics
Duration: 2 Years
Course: M.Sc. Course Type: Post Graduate
M.Sc. In Astrophysics is a full-time postgraduate course which covers both theoretical and observational aspects of astrophysics, with the course modules consisting of one compulsory module focused on building research skills in Astrophysics, and a variety of different optional modules that focus on topics such as Stars and Nebula, Gravitational Dynamics, and Accretion Physics. Enrolled students are trained in not only the fundamental aspects of Astrophysics, but also transferable skills such as programming, data analysis, problem solving, scientific writing, presentation and Science outreach, enhancing employability in and out of academia. This is a 2- year long course divided into two semesters, and the starting salary offered in India for successful postgraduates of the course lies between INR 5,000 and 60,000 monthly. The minimum eligibility required to be MET for admission to the course is graduation completed with Science from a recognised university with a minimum aggregate score of 50%. A few universities and colleges in India conduct entrance examinations for admission to the course. M.Sc. In Astrophysics: Admission Process
Admission to the course is conducted in 2 stages:
Institutional Test. Personal Interview- involving assessment of fitness, work experience, publications and statement of purpose. Most colleges admit students to the course on the basis of their performance in the relevant entrance test. Some institutions/ universities conduct their own entrance tests for offering admission. The admission process may s vary from college to college. Tanks and all the best.

Based on the JEE Advanced rank you obtained, you can get the following colleges under OBC female category.
1. IIT Jammu (CSE)
2. IIT Bhilai (Electrical)
3. IIT Dhanbad (Mech. )
4. IIT Mumbai (Chemistry)
5. IIT Kanpur (Chemistry)
6. IIT Kharagpur & Roorkee (Integrated M.Sc. Chemistry)

Hi,
The seats for MBA are very limited because of the variety of provisions needed for the MBAs including in-house residential facilities.
You might get a seat in IMI, New Delhi XIM, Bhubaneshwar or IIM Shillong. Just keep a check with the IIMs and you might land up with your desired seat.
You can keep other good alternatives to get a seat in a good school of education. You can check MDI, or LPU which has been ranked number 02 in the B-schools and bagged awards for the best placements.
Browse for all alternatives as the admission have already started online.

Yes, Mathematics at 12th is mandatory for Bachelor of Science (Research) Programme at IISc Bangalore. The eligibility criteria is given below:
ELIGIBILITY: Candidates who have completed their II PUC / 12th Standard in 2019 and those who are expecting to complete their II PUC / 12th Standard in 2020 are eligible to apply. The candidates must have studied Physics, Chemistry and Mathematics as main subjects during their II PUC / 12th Standard.
Candidates who have studied Biology, Statistics, Electronics, Computer Science, etc., in addition to Physics, Chemistry and Mathematics are also eligible to apply. The candidates must have secured a first class or 60% or equivalent grade (relaxed to pass class for SC/ST candidates) in the II PUC / 12th Standard examination.

You have not mentioned about the rank you obtained in JAM. However, the previous year closing ranks for IITs and IISc are given below for M.Sc. Biotechnology and Integrated M.Sc Ph.D. in your category for an idea.
1. IIT Bombay : 88
2. IIT Roorkee : 227
3. IISc Bangalore (Integrated Ph.D. ): 115
4. IIT Bombay (M.Sc. Ph.D. Dual Degree): 299
5. IIT Kharagpur (Joint M.Sc. - Ph.D) : 241
6. IIT Indore: 241