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I am a telecom engineering student of BMSCE.
if you are confused whether to choose chemical or telecommunication engineering in BMSCE. i would suggest you to choose chemical engineering because
1) very strict department
2) The portions aren't finished on time and most of the time is spent on seminars and open ended experiments
3) they don't award marks easily and these marks really matter as the internal marks sums upto 50 on 100.
about chemical engineering branch in BMSCE
1) strict but excellent cooperative teachers
2)unique HOD , makes sure that the curriculum is updated
3) do not join under the notion that it just chemistry, it is more of math.
in general,both telecom and chemical engineering has better scopes abroad.
No great packages.
Scope in India is less.
i would suggest you to complete your graduation in India and prefer going abroad for higher education.
hope my answer was helpful :)

Going by the trend of previous years, you would have to obtain a score of 90+ to get a seat in the Mechanical Engineering department of MSRIT. That would translate to a rank of approximately 1500 or less. The competition is quite fierce, but there are quite a few seats available so it shouldn't be an extremely difficult task.
I would also suggest you to apply to BMSCE and PESIT for Mechanical Engineering, as they have similar cutoffs as MSRIT. RVCE has a much higher cutoff. But Mechanical Engineering at MSRIT is an excellent course that is improving day by day. Therefore, I suggest that you work towards the course and make your studies with respect to competitive examinations very streamlined.