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Rahul put on 61 runs for the second wicket with Cheteshwar Pujara (17) before off-spinner Nathan Lyon broke the stand with Pujara's wicket and lunch was called.
Paceman Mitchell Starc got opener Abhibnav Mukund for nought after India, who trail the four-match series 1-0, elected to bat at Bangalore's M Chinnaswamy Stadium.