After Usman Khawaja fell for a duck, Warner shared a 69-run stand with Marnus Labuschagne, who reached 26 not out, to steady the innings.
Shardul Thakur dismissed Warner for 43 in the penultimate over before lunch.
Earlier, India did not have to wait long for a breakthrough after captain Rohit Sharma won the toss and inserted Australia on a grassy wicket.
After a quiet opening hour, Warner cut loose and hit Umesh Yadav for four fours, including three in a row, in an over.
Shardul Thakur had two lbw appeals against Labuschagne turned down and India reviewed both decisions but could not get them reversed.
Persons:
David Warner, Paul Childs, Usman Khawaja, Warner, Marnus Labuschagne, Shardul Thakur, Steve Smith, Rohit Sharma, Mohammed Shami, Mohammed Siraj, Khawaja, Siraj, nestling, Umesh Yadav, Labuschagne, Bharat, Ravichandran Ashwin, Ravindra Jadeja, Scott Boland, Josh Hazlewood, Amlan Chakraborty, Christian Radnedge, Ed Osmond
Organizations:
Cricket, ICC, Paul Childs LONDON, India, The, KS, Warner, Thomson
Locations:
Australia, India, London, Britain, India's, New Delhi