India posted 571 in reply to Australia's first-innings total of 480 to claim a 91-run lead in the fourth and final Test on Sunday.
Virat Kohli top-scored for the home side with a mammoth 186 while opener Shubman Gill (128) also smashed a hundred.
Spinners Nathan Lyon and Todd Murphy claimed three wickets apiece for Australia.
For India, who lead the series 2-1, Shreyas Iyer could not bat because of back pain.
Hyderabad's bowling depth, Delhi's late calm lift IPL tempo
Bowling breakthroughs for Sunrisers Hyderabad and death-overs calm from Delhi Capitals delivered edge-of-the-seat thrillers on Saturday, lifting the tempo of the Indian Premier League.
Lionel Messi's brace helps Inter Miami slay Rapids in front of huge crowd
Lionel Messi recorded a brace and German Berterame added a tally on a header as Inter Miami earned a 3-2 win over the Colorado Rapids on Saturday in Denver.
Real Sociedad beat Atletico Madrid on penalties to win Copa del Rey
Real Sociedad beat Atletico Madrid 4-3 on penalties to win the Copa del Rey on Saturday following a 2-2 draw after extra time, with their goalkeeper Unai Marrero saving two spot kicks in the shootout to help his side win the trophy for the fourth time.
Cunha strike earns Man United hard-fought 1-0 win at Chelsea
Manchester United's Matheus Cunha struck just before halftime to earn a 1-0 victory at luckless Chelsea on Saturday, taking them a big step closer to Champions League football next season.
One driver dead, six injured in Nuerburgring race crash
Racing driver Juha Miettinen has died, and six drivers were injured after an accident at the ADAC 24h Nuerburgring qualifiers on Saturday, organisers said.
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What inspired the establishment of the Filipino senior citizens group here in the UAE?
