Are their any universities offering PhD programs without needing any entrance examination.

If you hold NET / JRF / GATE / SET qualification
Most of the UGC-recognized universities (such as DU, JNU, BHU) exempt entrance tests if you've cleared:

UGC NET-JRF

CSIR-NET, GATE (for technical streams)

SLET/SET (state eligibility tests)

Direct Admission at Private or Deemed Universities
Few private or d