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Hello student,
We can only predict the rank based on the previous year data available and the correlation followed by score and rank. According to this a candidate scoring around 51 is most likely to get the rank within the range 18000 to 20000. This may vary depending on the the number of applicants, difficulty level of the exam and other factors.
To predict your college based on this rank use the college predictor tool of Carriers 360 at:
https://www.careers360.com/wbjee-college-predictor
Good luck
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