Rangarajan, 30, had picked up 17 wickets in the Ranji Trophy last year that saw the team qualify for the knockouts.
Milind Kumar was the leading run-getter in the 2018-19 Ranji Trophy season with 1331 runs playing for Sikkim
Abdulla applied for the No Objection Certificate from Mumbai Cricket Association after failing to find a place in Mumbai's probable list for this season
Veteran wicketkeeper-batsman Dinesh Karthik was on Monday named captain of the Tamil Nadu team for the Vijay Hazare Trophy.