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Steve Smith remains unbeaten on 85 as Australia made 339/5 at stumps.
Cummins, 28, becomes only the second specialist fast bowler to take over the Australian captaincy after Ray Lindwall, who led for one Test against India in the mid-1950s.
Smith said he has learnt to live with the damage caused to his career and reputation by the 2018 ball-tampering scandal.
All-rounder Cameron Green is guaranteed to make his Test debut if he clears concussion protocols but Paine said Green would not be considered for the opening role.
Royals had released as many as 11 players after they finished seventh last season.
Stokes, hero of England's World Cup triumph last year, is going through a tough phase. He pulled out of the three-match series against Pakistan in August before the second Test to be with his father, diagnosed with brain cancer.
The former Australia captain was jeered by the crowd in last year's Ashes series for the 2018 ball-tampering scandal that unfolded in South Africa on his watch.
Smith recently also took to social media to share a photo where he was seen taking an ice bath after a long time.
It all started with an ESPNcricinfo poll on Twitter where the cricket website paired 20 top players -- former and current -- with each other and asked fans to pick one contest they would love to watch.
Kohli's India beat Williamson's New Zealand in a close semifinal of the 2008 edition, which also featured Ravindra Jadeja, Trent Boult and Tim Southee.