Rangers knocked holders Livingston out of the Petrofac Training Cup with a 1-0 win at Ibrox on Tuesday night.
Nicky Clark scored the only goal of the quarter-final with 15 minutes remaining at Ibrox as Mark Warburton's side got the better of their Ladbrokes Championship rivals.
Rangers will now face St Mirren in the semi-final at Ibrox, with Queen's Park taking on Peterhead at Hampden in the other last-four tie.