Bumrah removed Australia openers Joe Burns and Matthew Wade for eight runs apiece in quick succession before tea, however, and Ashwin (4-55) drove home the advantage after the break.
Pace bowler Umesh Yadav claimed three wickets but Cameron Green hit an unbeaten century to give Australia A the lead on Day 2 of the three-day practice match against India A at the Drummoyne Oval, in Sydney, on Monday.
'We stuck to our guns and delivered skill under pressure and managed to keep ahead in the game'
Captain Virat Kohli determinedly led India's fightback on an engrossing day two on Saturday, blunting Australia's bowling attack to leave the second Test hanging in the balance.
Australian great Allan Border is mighty impressed with Pat Cummins' captaincy but said the upcoming four-Test series against India will be his real "acid test and the final frontier".
We saw how the pitch is playing and told ourselves we are going to dig deep, but unfortunately, myself, Travis and Shaun couldn't bat long as long as we should have'
Australia pick two uncapped players for first two Tests
The squad includes representatives from seven nations for the games, which will have international status, in Lahore on September 12, 13 and 15.
The 21-year-old is now level with Englishman Jack Russell (vs South Africa at Johannesburg in 1995) and South Africa's AB de Villiers (vs Pakistan at Johannesburg in 2013).
'We do the necessary checks (and) Will's good to go, so we're hopeful that he'll be fine all the way through.'
Can this Indian side, which has shown character and courage after the debacle in the first Test at Adelaide, stun the Aussies at their favourite hunting ground?
'He just laughs all the time. He doesn't really say much, he's just always laughing at you. I don't know what's so funny, it must be my batting.'
On Wednesday, the 31-year-old took to Twitter, to ask help from fellow teammate Rishabh Pant.
Ajinkya Rahane's India have a mountain to climb, even if a draw would be enough to retain the Border-Gavaskar Trophy two years after their breakthrough 2-1 win in the 2018/19 series in Australia.
Australian captain Tim Paine said a 'proud' cricketing nation like India is not going to roll over in the Boxing Day Test in Melbourne like they did in the series opener in Adelaide and singled out KL Rahul and Rishabh Pant as potential threats.
With the Sydney Cricket Ground reliably Australia's most spin-friendly wicket, the hosts may find it tough going to manufacture a face-saving victory and square the series.
Kohli earns more from brand endorsements and IPL appearances than he does playing for India.
Australia appear confused by picking wicketkeeper Tim Paine for the Ashes squad against England as he is not even the first choice selection for his state side, retired leg-spinning great Shane Warne said.
'The pitch should have enough for the bowlers to be interested on all days of the Test.'
Australia have left masterblaster batsman Glenn Maxwell out of their squad for the five-match one-day international series against England that follows this week's fifth Ashes Test.
Three years after his ignominious exit as Australia's captain in the wake of the ball-tampering scandal, Steve Smith has said he is keen and ready to lead the national side again if an opportunity came his way.
Langer said Australia are going with the same playing XI for the second Test unless and until something happens over the next few days.
'If there were ever a PR exercise to fix the seemingly irreparable image of Australian cricket in the aftermath of the most notorious on-field scandal in recent memory, then this is it,' observes Dhruv Munjal.
Steve Smith is back in the Test squad along with David Warner and Cameron Bancroft, the other two players hit with long bans for their involvement in the Cape Town scandal in March, 2018.
Marnus Labuschagne rode his luck to a home-ground century as Australia exploited India's injury woes and punished their poor fielding to reach 274 for five at the close of a steamy opening day of the series-deciding fourth and final Test, in Brisbane, on Friday.
Handling the spotlight and the probing questions from the fourth estate can be difficult for first-time international players and Cricket Australia prefers not to leave anything to chance.
Australia have left no stones unturned in their preparation as they chase their first Test series win in over a year, captain Tim Paine said.
Australia has a mandatory 14-day quarantine for international arrivals to curb the spread of COVID-19.
Australia captain Tim Paine graciously admitted that they were outplayed by the Indians.
Ashwin responded to Prithi's tweet by saying that it brought him to tears and thanked her for being there with him.
Cricket Australia Chief Executive Kevin Roberts has told staff that the governing body faces a financial crisis and would not have been able to pay its bills at the end of August without layoffs, local media reported on Saturday. Cricket Australia announced plans to lay off almost 80% of staff on Thursday, putting them on 20% pay until June 30 when it is hopes more will be known about how long government curbs put in place to control the coronavirus will last.
Finch's place in the team is under scrutiny ahead of Australia's World Cup title defence on home soil.
Smith was forced to skip Tuesday's training session but Paine said he thought his predecessor as captain would be ready to go
The Australian Test team will be without a captain for the next 15 years if the country's cricket administrators are looking for someone with a 'perfect' and unblemished record, said former skipper Michael Clarke.
Bumrah endured a tough and unrewarding day on the field during the third Test at the SCG.
Kings XI Punjab captain heaped praise on Glenn Maxwell and Thisara Perera after the five-wicket win against Hobart Hurricanes in Mohali and promised his team will get better in the Champions League T20.
Carey said selectors had not spoken to him about playing beyond the first two Tests.
While taking questions about his first round victory, the World No 2 spotted a journalist snoozing away in the corner of the room.
Australia head coach Justin Langer hinted that they will go with tried and tested players when India arrive for a four-Test series at the end of the year unless an exceptional performer emerges from the Sheffield Shield.
Captain Joe Root said conditions at Old Trafford should suit the 6 foot five tall Craig Overton.
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