Hello Dear,
Yes the chances of getting Mechanical Engineering branch in any NIT is high but wait for the official cutoff. On this marks your percentile must be between 98.7- 99 and general rank between 11678 - 9302 . Your chances of getting NIT or other government college in your desired branch is high Although you have not mentioned the category in which you applied. But as you know the cutoff changes every years because it depends upon the number of seats available, the difficulty level of paper and number of candidates writing the examination hence varies every year depending on these factors. It also depends on home state and other state as you have not mentioned your home state. You can check out your rank on the basis of your score from the below link.
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile
I would recommend that you should wait for the official declaration of the cutoff rank. Meanwhile you can check the below link to know about previous years cutoff trend.
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Good Luck
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