Which NIFT centre will I probably get with CMR-1421 and OBC (NC) rank of 414
Generally cutoffs are not same in each and every year. As it depends upon various factors like difficulty level of the paper, no. of students appearing for the exam, etc. hence it changes every year.
As it depends upon the stream in which you want to take. For example: With this CMAR you can't get fashion Design in Delhi, Mumbai and Bangalore. You can get other branches like Textile design or Apparel Production in Bangalore but again not in Delhi or Mumbai.
Coming to the remaining Colleges, you can get any of those as per previous year cutoffs.