Scottish Cup holders Celtic will be at home to Hibernian in the quarter-finals of this season’s competition.
Hearts, who progressed with a penalty shootout win over St Mirren prior to the draw, host Dundee, while St Johnstone go to Livingston.
Queen’s Park knocked Rangers out of the tournament on Sunday and are rewarded with a trip to Aberdeen.
The ties will be played on the weekend of Saturday 8 March.
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