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Dear aspirant hope you are doing well. It's difficult to predict because cut keep changing every year depends on various factors like no of seat available , difficulty level of exam and no. of student appear in exam.
As you secured 113443 rank in jee mains. Your percentile lies in between 88.0448455 -90.79177119. You can check the using the given link below
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile/amp
From previous years trends and analysis, it has observe that all the seats are filled up by candidates in between 15k to 25k rank in colleges NITs , IIITs, GIFTs . So its difficult to get any any NITs , IIITs, and GIFTs . According to your rank you will get some of private colleges are listed.
For best results, please must use jee main college predictor tool, so you can get best college according to your rank and category.
To know the list of engineering colleges , you have chances to get admission, you can also use JEE MAINS college predictor tool. Link is given below..
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
To qualify jee advance 2022 cut off percentile is given below.
Hope it's helpful thank
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