Hello,
According to 2018 cutoffs of KCET, in Nitte Meenakshi Institute of Technology, the closing rank for EEE was 25892 whereas the closing rank for ECE was 12926. Hence, with your current rank of 27655, it becomes pretty difficult for you to get ECE, but you may have some chances of getting EEE as your rank is a bit closer to the closing rank of last year. Please note that this prediction is completely based in 2018 cutoffs. Cutoffs may vary depending upon factors like number of seats available, number of candidates appearing for the examination, difficulty level of paper etc.
I hope it helps. For any further queries, ask me in comments.

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