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Hi student,
If we look at the previous cutoffs of BITS MESRA, Ranchi for 4-year B.E/B.TECH course, it is difficult to get any thing at your specified rank, as because cutoffs for all the courses closed at around 70k-75k even if we talk about CSE, mechanical engineering or any other course. The highest rank closed in the 6th round was 77435 in BIO-TECHNOLOGY course from JEE-MAINS 2021.
Still you can get a course in the special round in BIO-TECHNOLOGY, CHEMICAL ENGINEERING, CIVIL ENGINEERING or PRODUCTION AND INDUSTRIAL ENGINEERING whose ranks closed at around 200k in the upper limit.
Do check further details here - https://www.careers360.com/university/birla-institute-of-technology-mesra/cut-off
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