Can you suggest some good private colleges in Kolkata offering B.Tech ME through lateral entry?

Please check the admission guidelines of UEM Kolkata to know your query from here https://www.shiksha.com/university/uem-kolkata-university-of-engineering-and-management-47398/admission.

Dear, There are certain colleges and universities in Kolkata which provide good placements. But in Rajasthan, there also certain good college and universities which provide good placements in minimum cost in compare to others. In this sequence I suggest you that there is one of college viz. Anand

Some private colleges do have their own set of criteria for admission and some do have lateral entry through quota. I would recommend one best engineering college I.e. UEM Kolkata and for getting information college information and admission process visit the website catalog https://www.shiksha.com/