Yearly intake of a College has nothing to with the cut off rank of an Institute. Cut offs change every year depending on various factors such as no.of Candidates appearing for the exam, no.of Candidates qualified, top exam score and difficulty of the exam. While the yearly intake is decided by the Authorities concerned. Now MIT has its own entrance examination for admission to its B.Tech programmes. Many Candidates might appear for the exam but not everybody qualifies. And not everyone who qualifies applies for Counselling or accept admission in the College. So taking your own example of MIT, lets say 45000 Candidates appeared for MET. Now MET also is an entrance examination for other courses like B.Pharmacy. So assuming 45000 Candidates appeared for MET. And when the merit list is released all the 45000 ranks will be listed along with the marks score in MET. Now not everyone listed in the merit list will opt for B.Tech. They might consider B.Pharmacy or Pharma D. So assuming half the Candidates did not qualify and few opted for Pharma D and B.Pharmacy, the last ranked Candidate who opted for MIT might be 30,000. Out of the first 29,000 Candidates, even if few choose to opt out and few select other branches and few opt for Pharma, the last rank to get admission in the 3000th seat can be 30,000. It can happen.