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Hello aspirant,
Congratulations for getting good rank in JEE mains 2020. According to last some years cut offs sorry to say but you have very less possibilities of getting admission in HBTU. As this is the one of the best institution of UP so that the cut offs for this college are generally very high.
The closing rank for EWS category for the least branches such as plastic technology or leather technology are nearly between 60000 to 70000. So you have very less chances but as cut offs may vary year to year you can try for it.
Also I would like to suggest you to go through our college predictor tool which will help you in predicting some decent colleges for you according to your preferences. The link for it is provided below.
B.Tech/B.Arch Admissions OPEN
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
best of luck.
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