Delhi

As per the internet research, below are the colleges which ranks high as per overall categories mentioned in your question:
1) Hansraj College
2) Hindu College
3) Ramjas College
4) Sri Venkateshwara College
5) Delhi College of Arts and Commerce (DCAC)
6) Kamla Nehru College
7) Indraprastha College for Women
8) Kirori Mal College
9) IGNOU
10) GGSIP University colleges.

There isn't a fixed cut off by the college but you can use the link below to check paper pattern of 2018 and can try to get admission it's not so difficult too:
https://www.google.com/amp/s/www.shiksha.com/mass-communication-media/articles/amp/iimc-entrance-exam-2018-paper-analysis-blogId-16725.

Hi,
What you want to do for this university?

Top Engineering Colleges in Delhi are as below. https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-Delhi/ncr/44-2-0-10223-0
Please click below for more information related to PMSSS. https://www.aicte-jk-scholarship-gov.in/.

Hi, It does not really matter in both the colleges. Only Delhi University has this option.

Yes, it is a recognised board. Refer the link for more details:
https://delhiboard.org/about_us.do.

Hi Vineet,
Last year, the CAT Cut off at IMI, New Delhi was 88 for PGDM core and 85 for BFS and HR. This year, the cutoff might vary slightly based on the number and the quality of applications received.

Hi Anjali,
You can apply for SRCC in February or May, be in 1st week of March for UG course.