Rahane walked back with 112 runs, the second-highest score by an Indian captain at the MCG and the fifth among all visiting captains.
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Rahane, who is captaining the Indian team in the second, third and fourth Tests of the series in the absence of regular skipper Virat Kohli, scored a masterful 104 off 200 balls.
Rahane was unbeaten on 104 while all-rounder Ravindra Jadeja was with him at the crease on 40 as the two built a century stand for the sixth wicket.
On the second day of Boxing Day clash, Rahane flaunted his textbook technique to become the 10th Indian captain to score a centuy in Test cricket history.
Rahane was unbeaten on 104 at the draw of stumps.
The 104, still unbeaten, will forever stand as one of Rahane's finest knocks and he will now look to build on the score, which already seems to stand as the sole difference between the two sides, when day 3 resumes on Monday
Rahane was unbeaten on 104 while all-rounder Ravindra Jadeja was with him at the crease on 40, the two having added an unbeaten 104 for the sixth wicket.
Rahane remained unbeaten on 104 in a 100-plus partnership with No.7 Ravindra Jadeja, who holds on to the crease on 40 as India put 277/5 on the board.
The legendary spinner praised the stand-in Indian skipper for eking out his second century Melbourne and in conditions that favoured the bowlers.
Rahane was unbeaten on 104 while all-rounder Ravindra Jadeja was with him at the crease on 40, the two having added an unbeaten 104 for the sixth wicket.
Rahane added a 12th Test century to his name and first as a captain to guide India past Australia's first-innings total and build on the lead on day 2 of the Boxing Day Test.
With the century, Rahane also equals Sachin Tendulkar's record of becoming the only Indian captain to score a ton at the MCG.
So far is the only batsman to score a half century in the Boxing Day Test as he earns India a lead in the first innings after India's top-order gradually wither away.
Rahane also equals Sachin Tendulkar's record of becoming the only Indian captain to score a century at the MCG.
The Indian stand-in skipper hits a half century to take India ahead of Australia's first innings total of 195.
Comparing Rahane with India's regular skipper Virat Kohli, Gavaskar said that the right-handed batsman is quite aggressive in his tactics as captain even though he appears laidback.
Rahane is leading the side in the absence of regular captain Virat Kohli, who is on paternity leave.
Rahane's move to bring in Ravichandran Ashwin paid off as the experienced tweaker registered figures of 35/3 to pile on the misery on the hosts.
India then lost an out-of-form Mayank Agarwal (0) to Mitchell Starc but debutant Shubman Gill (28 batting) survived a hostile spell to hit some delectable boundaries in the day end score of 36 for 1 in 11 overs.
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