Delhi

Hindu College, Lady Shri Ram College, Kirorimal College, Miranda House, Shri Aurobindo College
These colleges are best for B.A. (Hons) in Political Science.

Please check the official website to know more about the eligibility criteria for admission.
You can also contact college authority to know more.

Hi Pratiksha!
You can find all the details about all the courses offered by Delhi School of Architecture and Design by clicking on this link https://www.shiksha.com/college/Delhi-school-of-architecture-and-design-pitampura-37404
Simultaneously, you can also download the brochure for a detailed information.

Dear Anirban,
The admission criteria now has changed for admission in FMS- DU. Now they give weightage to only your CAT score rather your past academics. FMS is a good option for those who can't score either in 10th or 12th or both. But one important thing is according to last year they call around 2200 student for few places. So, people who want to take admission in this B-School, they have to give 100% in GD-PI as well as CAT. Hope this helps. Upvote the answer if you feel satisfied. Good Luck.

Vivekanand institute of professional studies (VIPS). .

My take on the leading/popular institutes:
Vajiram
Sriram
Unique
ALS
Rau's
Key points to remember:
Make a checklist of what you expect from the institute
Ask questions like-
How are the providing the guidance?
Whats the course structure?
Who are the teachers?
What is the support they provide?
My views of the leading institutes:
Legacy: Vajiram
Mediocrity: Chanakya
Mini-Vajiram: Sriram
Heritage: Rau's
Better than Vajiram: ALS
Holistic learning: unique Shiksha

There is no proper cut-off. You will have to give entrance exam for MA in political science and on the basis of your entrance exam performance they will allot you a college and eligibility for giving entrance exam is securing 55% and above in B.A Honours in Political Science from any college affiliated to the University of Delhi or B.A (Hons.) in any one of the subject securing 60% aggregate.
Hope this helps.

Go through the college predictor below for details:
https://www.shiksha.com/b-tech/resources/ggsipu-college-predictor