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Hello Aspirant,
With this score your probable Percentile based on category is 95.26 - 95.46 & your SC category rank is around 3724 - 5374 while general rank is around 99126 - 116276.
Previous year the qualifying cutoff was 54.0128155 as SC category, Based on this score you qualified the exam & chances also should be decent to get a seat in NITs.
To know your admission possibilities you can also use JEE Main College Predictor tool given below.
JEE Main College Predictor – Know your College Admission Chances Based ...
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With the score of 66 out of 300, you can expect your percentile to be 89.0-89.3. With this percentile, your predicted rank would be around 99000-117000. Since you are in SC category, your Category rank would be around 3700-5400.
At this rank, you will be qualified for JEE Advanced.
But there are less chances of getting into NIT of your choice. However you can choose to apply for JEE Main (April) and improve your score.
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