Pujara, who has been promoted up the order in place of an injured Shikhar Dhawan, hit three boundaries to kick-start the innings while Vijay also managed to hang around despite playing a few edgy strokes after Australia ended their first innings on 262.
At the break, Pujara was batting on 28 while Vijay remained undefeated on 23 with four boundaries.
Pujara played a majestic backfoot cover drive off pacer James Pattinson after Vijay opened his account with a streaky boundary past the slip cordon.
The three boundaries gave Pujara confidence to get off the blocks. Vijay also joined forces as he elegantly played Pattinson through the wide mid-on area.
The first five overs produced 34 runs and it looked as if Vijay and Pujara are in a mood to get 'ready' for the Indian Premier League which is scheduled to start in 10 days time. The 50-run partnership was completed in the 10th over.
If it created a bit of problem for batsmen, the low bounce meant that the edges did not carry to the gloves-man Matthew Wade and the fielders stationed in the slip cordon.
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