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Australia dismissed India for 185 on day one of the fifth Test but a fired-up Jasprit Bumrah struck with the final ball of the day to boost the tourists late on.
Bumrah had opener Usman Khawaja caught at second slip for two and turned to celebrate in the face of 19-year-old Sam Konstas, with India thinking both batters were wasting time in what proved to be the last over.
The tourists, who trail 2-1 in the best-of-five series and need to win to retain the Border-Gavaskar trophy, had earlier tentatively edged to their total on a lively Sydney pitch.
They left out struggling captain Rohit Sharma but the move did little to improve the fortunes of their top order as Scott Boland took 4-31.