The Gers travel to Kilmarnock (28/1 Coral) in the last eight whilst The Bhoys visit St Johnstone (25/1 888Sport).
Bet365 make Dundee United 10/1 after being drawn away to Coral‘s 14/1 shots Motherwell.
Aberdeen are chalked up at 12/1 by Totesport. They host First Division side Falkirk – Extrabet‘s 33/1 outsiders.
CIS Cup Quarter-final draw
Aberdeen v Falkirk
St Johnstone v Celtic
Motherwell v Dundee United
Kilmarnock v Rangers
Ties to be played on Tuesday 26 and Wednesday 27 October 2010