Choudhary scalped three wickets while Tanveer, who was Rajasthan’s leading wicket-taker in the Ranji Trophy 2018-19, dismissed two Bihar batsmen.
Lomror scored an unbeaten 78 off 52 balls to help Rajasthan post 181/4, before India internationals Khaleel and Chahar bundled out Tamil Nadu for 128
Abhimanyu Mithun and Krishnappa Gowtham ended the innings with figures of 3/48 and 3/54 respectively.
Rajasthan have been on a roll in the group stage, winning seven games, including three with bonus points.
Robin Bist was just two runs short of his 15th first-class century, his innings on Monday studded with just five boundaries and two sixes.
For Haryana, the legspinner Yuzvendra Chahal claimed 3/91 in 31 overs.
Rajasthan pacer Aniket Choudhary continued his excellent form with the ball, claiming yet another five-wicket haul in the ongoing Ranji Trophy season as Haryana were bowled out for 118
Put into bat, Rajasthan folded for 135 with pacer Basant Mohanty snapping six wickets to cap off a super bowling effort.
Rajasthan skipper Mahipal Lomror hit a stroke-filed 133 as the hosts took the honours on the second day of their Elite Group C Ranji Trophy 2018-19 game against Assam Friday.
Since the start of the 2012-13 edition, only two teams have started a season with four consecutive wins - Saurashtra and Karnataka.