B.A

It would be better if you pursue BA rather than B.Sc as the subjects of BA will be of great help while preparing for IAS exam. Most common subjects like history, civics, constitution and geography are the part of IAS's syllabus. Therefore, go for BA rather than B.Sc.

Hi Shivani,
If you want to get a confirmed seat in Delhi University, then you must have a score of around 90% in class 12th board. Otherwise, it will be difficult. Your score will be calculated as any four subjects including one language subject.

Refer the link:
https://www.shiksha.com/humanities-social-sciences/history/colleges/b-a-colleges-Mumbai-all

Eligibility for B.A. (Hons.). History:
Candidates need to have completed the Higher and Senior Secondary levels of education (classes X and XII) from a recognised educational Board, with a minimum aggregate score of 50%. Top arts and humanities colleges in India –
Lady Shri Ram College (LSR) for Women, New Delhi -A women's college, LSR is known not just for its social sciences, humanities and commerce courses.

Yes, you are eligible to take admission.
However, you haven't mentioned your 12th score. If it is not less than 50% then you can take the admission.

You can download it 10 days before the entrance test.

The admission will start in June

It is about to start in few days.