Yes. IITs, AIIMS, NITs, IIITs, IISERs etc. are governed by the Central Government and have almost 50% of their seats for various reserved categories like GEN-EWS, OBC-NCL, SC, ST, physically disabled etc. But admission to students of all categories is on the basis of the same Entrance Test with relaxation of cut-off scores for different categories. Admission to private colleges like BITS PILANI, VIT-Vellore, Manipal etc have no reservations however. But private colleges in Maharashtra which are not autonomous have reservations.