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You are Eligible. There is no any such criteria for the BBA course in St. Xavier college Kolkata. I am sending you an authentic link from where you get all information about the BBA course in this college. Please check here-https://www.shiksha.com/college/st-xavier-s-college-kolkata-park-street-23242/admission.

See If you do B-tech from IIT's And NIT's then you have not any need to go for M-tech As you placed with a decent salary job by Doing B_tech from there irrespective of the Stream.
However, for Aerospace Engineering There are some particular IITs in which This stream is available. If you don't get those IIT's then You have to do M-tech
But If you are from Average college or tier2 or tier1 college where you don't get a good salary of your desire then, In my opinion, go for M-tech.

Better try in stream 2 you have a chance in stream 2 because of 10/10 grade but via stream 1 it is difficult because of the mains rank . better apply for both -all the best :)

If the upcoming exam is cancelled there most probably they would consider only JEE Main january and Hi might think over putting some weightage to intermediate marks but cancelling is not going to happen mostly as even JEE Advanced also must conducted or they might go online.