Hi Swati, 

The LNMIIT jaipur is  public private partnership venture between the LNM foundation and the government of Rajasthan, it is an government aided autonoums college which is the non profit organization.

Your rank is good enough to get admission in LNMIIT with CSE branch because many autonoums college cutoff is lower than NIT or pure government college so your chances to getting seat in LNMIIT is quite high.

You must go through online counseling procedure and fill the LNMIIT in choice filling process you must get it , if not in a first round then 2nd or 3rd but you will get admission.

Hope this information help you