Andhra were 282 for eight in their second innings when the match ended on the fourth and final day at the Bengal Cricket Academy Ground.
Srikar Bharat top-scored for Andhra with 57, while Hanuma Vihari made 51. DB Ravi Teja missed out on a half century by a run, while K Ashwin Hebbar made 45.
For Chhattisgarh, Ajay Mandal was the most successful bowler, picking up three wickets in 48 overs in which he conceded just 30 runs.
Points: Chhattisgarh 3, Andhra 1.
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