Hello Aspirant,

See the cut-offs keep changing every year and this year also we saw a slight dip in the cut-offs but counselling is yet to be conducted so it would be bit difficult to provide you the exact chances of seat allotment in any particular college on the basis of your JEE-Advance rank but yes if we consider the previous year's data and align it with overall cut-offs of this year then we can help you with expected chances of allotment on such JEE-Advance rank.

So according to the category and rank mentioned by you in the question you have good chances of getting IIT Bombay with Aerospace Branch but low chances for Mechanical branch as per the data analysis of previous years cut-off.

As we go through previous year's cut-off then it shows that last year the closing rank for Aerospace branch in IIT Bombay was 2070 for General category Male and for Mechanical branch it was 1129.

You can check out previous year's cut-offs from the link given below :-

https://josaa.nic.in/Result/Result/currentorcr.aspx

Note that the above prediction is made on the basis of previous years cut-off data and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.

To have a list of all those colleges which you can get based upon your marks, category, and state you can use JEE-Advance College Predictor:-

https://engineering.careers360.com/jee-advanced-college-predictor?icn=QnA&ici=qna_answer

JEE-Advance 2021 cut-offs are mentioned below :-

>>> Common rank list (CRL) - 10.0 (Minimum percentage of marks in each subject) - 35.0 (Minimum percentage of aggregate marks)

>>> GEN-EWS rank list - 9.0 - 31.5

>>> OBC-NCL rank list - 9.0 - 31.5

>>> SC rank list - 5.0 - 17.5

>>> ST rank list - 5.0 - 17.5

>>> CRL-PwD rank list - 5.0 - 17.5

>>> GEN-EWS-PwD rank list - 5.0 - 17.5

>>> OBC-NCL-PwD rank list - 5.0 - 17.5

>>> SC-PwD rank list - 5.0 - 17.5

>>> ST-PwD rank list - 5.0 - 17.5

>>> Preparatory course rank lists - 2.5 - 8.75

I hope this information helps you.

Good Luck!!