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Hello aspirant
Hope you are doing great . First of all congratulations for such a wonderful score in your jee mains. As per the percentile score you mentioned above , your predicted rank lies somewhere around 61380 - 69000 . Yes , you can definitely apply for HSTES and get admission in B.Tech courses .
You can also use the link given below to predict colleges available to you
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
I hope my answer helps
Wish you all the very best!
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