MBA Entrance Exam

You can get admission through cap round such as
Lala Lajpat Rai Institute of Management, Guru Nanak Khalsa College, Thakur College, Sinhagad Institute of Management, Rizvi College.
These are the college which are a good option. But after cap round you can also try MET, IES.

Yes, obviously he or she can apply. But, he will be able to do that for next exam. Not for the same exam.

This is relative. So, one cannot predict fall pattern for this year. This could also move up as it is relative to all candidates performance irrespective of the cut-off once should try to score 95 + percentile to secure admission in top 20 institutes.

Yes, it affects, but the amplitude depends on college to college. Each college provide their respective weight-age on their website example IIM Indore gives very high weight-age to your past academics (even more than CAT whereas IIM Kozhikode gives a low weight-age to past academic record. So, you can check on each college website what are their weightage for past academics and prepare accordingly. This would help you to keep realistic goals.

Your chances are good of getting NITs. You can also get colleges of your state government colleges. Try JEE college predictor to get more information and insight about college & branch which you can get on the basis of your rank:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=4067795

Although OBC comes under the reserved category, but its cut-offs are still very high. Your chances for top 10 colleges seem to be very low.

It will be around 97.5 percentile (open category) for a safe position. So, make sure that you at least score that much.
Best regards.

Hi buddy,
On this score in your category, I strongly feel that you will surely get admission but things may change as per merit list and cut-offs. If not, you can surely try and apply for SIES, IES so that these opportunities don't go out of your hand. But probably you have high chance of getting into MS at Welingkar.
All the best and Cheer up!