Hi Sachin,

NESTi.e National Enterance Screening Test is  a national-level entrance examination conducted annually for admission to five-year integrated MSc programmes offered at National Institute of Science Education and Research (NISER) Bhubaneswar and University of Mumbai- Department of Atomic Energy Centre for Excellence in Basic Sciences (UM-DAE CEBS) Mumbai.

So there won't be any BTech Mechanical course available in it.For reference,I am atatching the link citing the colleges and eligibility criteria:https://university.careers360.com/exams/nest

Hope it helps