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You didn't mention about any branch preference. So you can easily get any branch seat in sastra kumbakonam try upto last counselling even of you didn't get in 1st one.

Placements after BBA will depend on your grades and BBA students usually go for management aspect of the company, so there are many opportunities available for you after BBA.

Yes you will definitely get VIT for B.Tech CSE. Your 12th and JEE Main scores are outstanding. Your expected JEE Main AIR is about 14152. On the basis of your JEE Main rank you can get the top NITs also.

The OBC Certificate is needed if you are claiming for the benefits of the category or already applied under the OBC category. Otherwise simply you can apply through the general category, by this you will not need to produce any caste Certificate. So you can get admission in NITs and GFTIs if applied through the general category.

Since you have mentioned many colleges from the various locations. So If I have to suggest the best one, then you should go for ITM Mumbai. In case you have concerns of location, then In Pune you may go with Kirloskar. In Delhi/NCR I would suggest, you should go with FOSTIIMA Business school. Though, it's not on your list, but it's far better than the other colleges you have mentioned at a reasonably low course fee with better placement.

Best because it is a Science that deals with the process of making transportation easier.