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Dear Aayushee,
Congratulations on 57 marks in GATE ECE 2019, this is a very good score.
Yes, you can definately get into core branches in old IITs. Your rank can be anywhere between 300-500.
Your best bet is Microelectronics and VLSI in IIT KGP and IIT Roorkee.
Please look for the branches you are interested, in the IITs of your choice to make a more informed decision on what you want to get into.
Download GATE previous year question papers to understand exam pattern and difficulty level. Practice with these papers to boost your preparation and improve your score.
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