JEE Counseling 2022

At rank 40000, you will get some good colleges but you will have to compromise with the branches as you will get lower branches, but if you don't want to compromise and want to get upper branches or core branches then you will have to go for some lower colleges
The admission cutoffs are usually released by JoSAA on behalf of the colleges that are participating in the counseling process. According to the JoSAA given below are opening and closing ranks of some NITs ( open category only)
NIT Agartala
4,080- Opening rank
25,737- Closing rank
NIT Calicut
470- Opening rank
17,731- Closing rank
NIT Delhi
707- Opening rank
13,423- Closing rank
NIT Durgapur
7,376- Opening rank
21,206- Closing rank
NIT Goa
2,574- Opening rank
18,383 - Closing rank

If your category rank (OBC Rank) is 3032, then the IITs available to you are:-
1] IIT Dhanbad - Geophysics (5 Y)
2] IIT BHU - Bio (5 Y)
3] IIT Kharagpur - Applied Geology (5 Y)
Unless you need the IIT Tag to flaunt in front of your relatives and unless you have some specific interest in these fields or unless you are planning to work hard to get a vertical branch transfer, go for NITs on the basis of your Mains rank or go for a drop. If your Open Rank is 3032, then you have a lot to choose from: - (The best options in no specific order, according to me are chosen as there are 50 and more branches open)
1] IIT Delhi Chemical (Dual Degree)
2] IIT Bombay Civil Engineering
3] IIT Madras Aerospace
4] IIT BHU Electrical Engineering
5] IIT Jodhpur Artificial Intelligence
6] IIT Guwahati Mechanical
7] IIT Bombay Metallurgical
8] IIT Bhubaneswar CS (5 Y) CS from all the newest IITs
9] IIT Indore Electrical Engineering
10] IIT Delhi Production Engineering
But if I were you, I had pick IITM Aerospace
PS - Data based on JEE 2020.

As I myself got 185 marks in JEE Main and cracked JEE Advanced with a rank of 20k and went through JoSAA in 2017, I think I am the right person to answer this. First of all, I would like to say you that you cannot predict about the marks very accurately so rank should be the parameter. Coming to NITs, there are 3 tiers of them. Not all NITs are the same. If you want to get CSE in any of the tier 1 NIT, then your rank should be less than 2000 in JEE Main. If you want CSE in any of the tier 2 NITs, then your rank should not exceed 5000 in JEE Main. And if you just want an NIT tag (which you shouldn't as NIT tag is not any big tag), then for CSE your rank should be less than 10,000.

What college can I expect at 40000 OBC rank in JEE Mains? CSE is my preference
Sorry to say but you cannot get any government college or NIT at this rank, You can go for Private colleges or take a drop to prepare for next time, my freind got 28000 obc rank in JEE Mains but he cant even get NIT in mechanical or civil (There are certain chances if you are from Himachal pardesh or some states that have high cut off and state quota)
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If you JEE Mains rank is 47000 in OBC then you get cannot the best IIT even if your CRL rank is 65000, you can't also get into NIT. I am not demotivating you but I have 2 to 3 suggestions for you,
1. Take drop and aim for IIT Bombay and it is achievable if you don't repeat your mistakes. (I will prefer join any online coaching)
2. Go for state level CET exams and go for state level best college.
3. Some private colleges such as Lovely Professional University and etc. accepts low score of JEE Mains also, it is a good option. Go for JAC counselling, state counselling accepting JEE Mains score. I am from Maharashtra, but I know that this year UPSC was cancelled and getting colleges on the basis of JEE Mains.
4. If you have enough time and preparation, go for JEE Advanced and go for lower IIT, if you are able to get lower rank.