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hello Dear,
As per the percentile mentioned by you in Feb shift your General rank between 246089 - 175204. There is a very less chance you can get any VSST cutoff for last year was 61584 rank. You can try out for private college in your home state where you will get your desired branch.
But there is fair chance yo can get private college on your desired branch.
You can check the rank vs percentile vs marks below:
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile
You can check our predictors link to know more about the college which you can get
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Good Luck
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