William Hill Scottish Cup holders Inverness Caledonian Thistle face a trip to Edinburgh in this season's quarter-finals.
The Highlanders will face the winners of the replay between Hibernian and Heart of Midlothian. Elsewhere, Celtic were drawn at home to Greenock Morton, while Ross County will host Dundee United in Dingwall.
The winner of the replay between Dumbarton and Dundee face a trip to either Ibrox or Rugby Park to face either Rangers or Kilmarnock.
Former Celtic midfielder Lubomir Moravcik helped Scottish FA President Alan McRae and Brian McColgan from William Hill conduct the draw at Hampden Park.
William Hill Scottish Cup quarter-final draw
Hibernian vs Inverness Caledonian Thistle
Celtic vs Greenock Morton
Ross County vs Dundee United
Rangers vs Dumbarton or Dundee
Ties to be played the weekend of March 5th 2016.
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