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Hi there!
As your query is about clearing the JEE Mains cutoff so that you can take JEE Advanced exam, there is no need of mentioning the board you took in class 10th. JEE Mains rank has nothing to do with your 10th boards.
Also, the percentile mentioned by you is 93.79, which I think makes you eligible for taking JEE Advanced exam.
So, yes, you can take JEE Advanced exam with this percentile obtained.
All the best!
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