Delhi

Yes, definitely you can pursue MBA through distance learning. MBA through distance learning can be done at any age. There is no age boundation and lots of good Institute provide MBA through distance learning. You can choose any of them according to your convenience. Only thing you need to consider is the MBA program is recognized by Distance Education Council or UGC and the exam centers allocated for this universities, so that you may not face problems regarding exam centers.

Dear Seema,
Yes, they do have but they don't get the placements like business school. Really, if you want to do MBA from a good university, you can try for:
1. FMS.
2. Delhi University.
All the best.

You can for TIME, IMS and Career Launcher. They all have good materials and faculty. But, go with main branches.
You can check the below mentioned links:
https://testprep.shiksha.com/cat-entrance-exams-coaching-classes-in-india-categorypage-14-47-809-0-0-1-1-2-none-1-0
https://www.shiksha.com/top-10-coaching-institutes-in-india-for-mba-entrance-preparation-article-11477-1

Join National School of Drama, Delhi.