Unbroken by dogged and often fierce pace bowling, Pujara was dismissed for 123 by a piece of brilliant fielding, with Pat Cummins swooping in to throw down the stumps.
Rohit Sharma (37) and Rishabh Pant (25) played some of the most adventurous shots of the day before falling to Nathan Lyon in the middle session, bringing Ravi Ashwin to the crease with Pujara.
Australia's bowlers have once again led from the front, taking ninewickets on the opening day of the first Test against India, but they will be disappointed they could not finish the job.
Australia took four wickets before lunch with the batsmen guilty of playing at deliveries they would have been better off leaving alone.
Samsung pushing out Galaxy Note9 Android Pie-based One UI
The report further states that beta builds are now available for Galaxy Note 9 units in the United States, India, and Germany. Once you have registered you will need to download the software manually and it comes in at around 1700MB in size.
"Once we lost Ashwin, I thought I had to accelerate".
India suffered a huge blow ahead of the first Test with young opener Prithvi Shaw ruled out after suffering ankle ligament damage during their final warm-up game against a Cricket Australia XI.
Five of India's top six were out to loose shots, including captain Kohli, who fell for three to a stunning one-handed catch in the gully by a leaping Usman Khawaja.
But after returning from a break, Hazlewood enticed Rahane into a drive and he edged to Handscomb in the slips for 13.
Sharma then needlessly tried the same shot on the next ball, and this time debutant Marcus Harris comfortably collected the steepling catch, with the right-hander once more failing to capitalise on a good start. In the process he passed 5,000 Test runs for his 16th Test century, even as the wickets tumbled around him, including superstar captain Virat Kohli for three.