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hi arghya ,
thank you for approaching us . with a rank of 2773 , you can expect a seat in top 5-10 iit's for sure . and the chances of getting a seat in the top 5 iit's are also there but for branches like , IT , CIVIL , MECH.
all the best
Solving the JEE Advanced paper's will help to know the exam difficult level and identify the high weightage topics.
Hello Arghya
you can check the cutoff for the previous year at
https://www.google.co.in/amp/s/engineering.careers360.com/articles/jee-advanced-cutoff%3famp
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