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According to 2018 cutoffs in year 2018, with a rank of 13878 in JEE Mains, you can get Computer Science and Engineering at NIT Patna, NIT Silchar, NIT Mizoram. You can also get many other branches at many other NITs. Please note that this prediction is completely based on 2018 cutoffs. Cutoffs can vary from year to year depending upon factors like number of seats available, number of students appearing for the examination, difficulty level of the paper etc.
I hope it helps. For any further queries, ask me in the comments.
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