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Hello Aspirant,
With 60 percentile in Jee mains you can not get any govt colleges in state level also you can not get admission in NITs or IIITs. If you belong to general category then it is difficult to get good colleges. But you can go for state counselling and you can try for private colleges.
Based on your percentile your rank will be below 10,00000 .
Go through this link to get more information about marks vs percentile :
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile
Check out this link to predict colleges based on your rank :
https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp
Hope this information helps you.
Best Wishes!
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