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MI ended up with 196/6 in their chase of 215 despite a brilliant 38-ball 68 by Rohit Sharma and an unbeaten 28-ball 62 by Naman Dhir.
DC ended the league phase with 14 points from as many outings and await the results of other team to find out whether they can sneak through to the playoffs.
The Royals with 16 points and two games in hand are assured of a top-four finish.
RCB need to win their final game against Chennai Super Kings on Saturday at home and hope other results go their way.
The discussion in the dugout was captured by the TV cameras and did not go down well with the fans and experts as they felt such conversations should have taken place behind closed doors.
The win lifted SRH to third spot with 14 points from 12 games. The crushing defeat leaves LSG in sixth place with 12 points from as many outings.
The result also meant that five-time champions Mumbai Indians, currently ninth with eight points from 12 matches, are out of the playoffs race.
KKR have 16 points from 11 games and moved closer to the playoffs. LSG slipped to fifth with 12 points from 11 outings.
LSG were bowled out for 137 in 16.1 overs. Harshit Rana and Varun Chakaravarthy shared three wickets each for KKR.
The win helped LSG climb to third spot with 12 points from 10 matches, while MI are in ninth place with just six points from 10 outings.