Holders Celtic will face St Johnstone at McDiarmid Park in the quarter-finals of the Scottish Cup after they swept past Clyde in the fifth round.
Hearts – last year’s runners-up – host Rangers at Tynecastle, where they beat Steven Gerrard’s men 2-1 last month.
Hibernian will welcome Inverness Caledonian Thistle – the only lower-league side left in the competition.
The winner of the St Mirren v Motherwell replay will be at home to either Aberdeen or Kilmarnock.
The ties will be played on the weekend of 29 February/1 March.
St Johnstone against Celtic is set to be on the Sunday, with Neil Lennon’s side in Europa League action on the Thursday of the preceding week.
Hibernian v Inverness CT, St Mirren or Motherwell v Aberdeen or Kilmarnock, St Johnstone v Celtic, Hearts v Rangers
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