It was the Scottish Championship side that booked their place in the last four of the competition thanks to a 4-0 win.
Dundee midfielder Paul McGowan has admitted that he was impressed with Rangers' style of play when the two sides came up against each other in the Scottish Cup quarter-final on Saturday, the Evening Times reports.
Mark Warburton's men flew out of the traps at Ibrox with Harry Forrester giving them the lead after just 13 seconds, before second-half goals from Jason Holt, Andy Halliday and Lee Wallace ensured that the Scottish Championship side booked their place in the last four at the expense of their top flight opponents.
And McGowan explained that the Light Blues more than deserved to set up their semi-final tie with Celtic after the way they played.
"Rangers wanted it more than us and that's something I can't say about our team because we have been brilliant for the past six or seven games," he told the Evening Times.
"I have watched a lot of Rangers and it must be hard for them because teams sit back against them and they've got a bit of stick.
"But I was impressed with them with the way they knocked the ball about and worked it from the back.
"They were worthy winners. But our start killed us."
Although Rangers' form meant that many anticipated that an upset could be on the cards, it is perhaps fair to say that very few saw such an emphatic scoreline coming.
Dundee currently sit fifth in the Scottish Premiership, and went into the game against the Gers having not lost any of their previous eight games, with their most recent result being a very commendable goalless draw with Celtic at Parkhead.
Nevertheless, the way that they were taken apart by Warburton's men suggests that it may be difficult for any team to prevent Rangers making their way back to the very top of the Scottish game.