Hi Nithish,
It seems difficult to get Aeronautical Engineering in MIT with your rank, because as by checking previous year cut off and ranks your rank should be below 2000 in order to get BE AE seat.
Regarding the second part of your query,
From PSG you can expect to get seats in following branches,
FROM SSN ,
FROM CEG,
Further you can check the following page, for knowing about previous year TNEA cutoff marks for various colleges,
"TNEA Cutoff 2021 (Soon) - Check Previous Year Cutoff" https://engineering.careers360.com/articles/tnea-cutoff/amp
Hope this helps.
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