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Hi dear,
You have got 68 percentile in JEE main that means your rank should be around 278083. You can also calculate your rank as
Rank=(100-your percentile)×869010÷100
This is sufficiently low for getting a good government college if you belong from general or obc category. You can predict your college here
JEE Main College Predictor – Know your College Admission Chances Based ...
If you belong from sc or st category then you may get a college in your home state.
Hope it helps
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