Hello Aspirant,

As we go through the latest cut-offs of JEE-Main 2021 of JOSAA 6th round then it shows that the closing ST rank for CSE branch in National Institute of Technology Jaipur in 2021 was 410 and for Mechanical it was 1057 so with the mentioned ST rank you have almost no chances to get National Institute of Technology Jaipur even under Home state quota.

You can check out the latest cut-offs from the link given below :-

https://josaa.admissions.nic.in/Counseling/seatallotmentresult/currentorcr.aspx

Note that the above prediction is made on the basis of latest cut-offs available on official website of 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.

To have a list of all those colleges which you can get based upon your JEE-Main score or rank you can use JEE-Main College Predictor:-

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

As the cut-offs are released along with the JEE-Main 2022 result so now you can check whether you have qualified for JEE-Advance 2022 or not, JEE-Main 2022 qualifying cut-offs are enlisted below :-

==>> Common Rank List (CRL) -  88.4121383 percentile

==>> GEN-EWS - 63.1114141 Percentile

==>> Other Backward Classes (OBC-NCL) - 67.0090297  Percentile

==>> Scheduled Caste (SC) - 43.0820954 Percentile

==>> Scheduled Tribe (ST) - 26.7771328 Percentile

==>> PwD - 0.0031029 Percentile

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

https://engineering.careers360.com/articles/jee-main-cutoff

I hope this information helps you.

Good Luck!!