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Australia 'A' gave a better account of themselves on an eased out third day track, despite being reduced to 25/ 3, ending on 305/4 riding on Ben McDermott and Jack Wildermuth's unbeaten centuries.
Australia 'A' were bowled out for 108 in reply to India's first innings total of 194.
Green was later withdrawn from the match with batsman Patrick Rowe named as the concussion replacement.
The seasoned Ajinkya Rahane is leading the team against Australia 'A' at the Sydney Cricket Ground.
Medium-pacer Mark Steketee, who returned impressive figures of 5/37, came in the way of what could have been a few sessions of good batting practice on the third and final day for the touring Indians.
Senior pros Umesh Yadav and Ravichandran Ashwin staked strong claims to be included in India's playing XI for the first Test with impressive performances.
Shubman Gill and Prithvi Shaw, who are fighting for one of the opening slots in the Test team, did their chances no good after registering ducks.