Colleges in Delhi

Yes, you are likely to get the following branch in IIITD with your rank.
The ranks for different branches are:
1. Computer Science and Design- 9316.
2. Electronics & Communication Engineering-10870.
3. Information Technology & Social Sciences -10304.

The candidates who have qualified 10+2 (12th examination) or equivalent examination from any recognized board with a minimum of 50% of marks are eligible to apply. There is no minimum age bar for admission to the undergraduate courses in Delhi University (DU) and its colleges.
*In professional courses, regulatory body prescribes minimum age requirement (such as MCI, AICTE etc.)

Please refer the link:https://www.shiksha.com/bba/articles/bba-colleges-offering-admission-through-merit-blogId-14012 and many colleges of DU also offer admission based on merit.

It depends on cut off. Every college varies in their cut off, and that's the advantage for science student, because they can apply for arts stream as in political science hons. English hons. He can opt for language course also.

Your rank should be 20k.

IBS Gurgaon is better. IBS is well known for its placements and learning. Go for IBS. Good luck.

Go through this link
https://www.shiksha.com/university/mahatma-gandhi-university-delhi-31438?q=Mahatma+Gandhi+University+Delhi&rf=searchwidget&landing=ilp
Have a good day.

It depends on two things first it depends on the state you are living in as the cutoff of IPU is divided into 2 parts Delhite students and non-Delhite. Usually, the Delhite students get higher preference as there is an 85% quota for Delhi students reserved in IPU. Secondly, it depends on the category you belongs to if you are a general category student then it is very difficult to get in IPU. But I will suggest you to attend the spot counselling as there is a huge chance of selection through spot counselling.

These are the reputed Government colleges for hotel management in Delhi:
Institute of Hotel Management
Delhi Institute of Hotel Management & Catering Technology
Guru Gobind Singh Indraprastha University
National Council for Hotel Management and Catering Technology
Indian Hotel Academy.