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Hello Aspirant,
On such JEE-Main rank you cannot get any of the IIITs because they use to have closing SC ranks around 7-8k but you can go for some GFTIs and on the basis of your preparatory SC rank in JEE-Advance you have no chance in any of the IITs as the closing SC rank for preparatory courses were around 200-250.
If we go through previous year's data of seat allotment On the basis of SC rank in JEE-Main mentioned in the question by you, you can go for the enlisted colleges :-
Gurukula Kangri Vishwavidyalaya, Haridwar - Electronics and Communication Engineering (12873)
Indian Institute of Carpet Technology, Bhadohi - Carpet and Textile Technology (13421)
Institute of Technology, Guru Ghasidas Vishwavidyalaya (A Central University), Bilaspur, (C.G.) - Industrial and Production Engineering (13380)
And some more. You can check out previous year's cut-offs from the official website of JOSAA as given below :-
https://josaa.nic.in/Result/Result/currentorcr.aspx
Note that the above list is merely a prediction which has been made on the basis of latest cut-offs available on official website of either JOSAA or CSAB 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.
So you can use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India on the basis of your JEE-Main 2021 result :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Now as you also appeared for JEE-Advance 2021 then you must have got your result so to have a list of all those colleges which you can get based upon JEE-Advance 2021 score 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 for your future!!
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