Hi anish!

The cutoff range mentioned is the opening rank - closing rank. That means that a candidate of rank 5001 chose the branch offered in the Institute and prior to him no one chosen and the closing rank would mean that the last seat is filled by the 8000 ranked student.

That does not mean that only the ones within the range should chose, any student even the rank no. 1 student can chose the branch if he desires. The data only represents the students' ranks range who have chosen the particular branch in that particular year.

With 3000 rank , you would be perfectly eligible to chose that particular branch in IISc


Goodluck!

IISc Bangalore

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