CITY bowed out of the William Hill Scottish Cup after going down 3-0 at Rangers in a low-key tussle at half empty Ibrox.
The Black and Whites exited the national trophy for the fourth time at the hands of the Light Blues and, but for a few sporadic chances, can have no real complaints.
After last week's late call-off of the scheduled league clash between the pair and the hefty fine handed to City, they would have been hoping for a share of receipts from a packed ground.
But the vast Ibrox bowl housed just over 23,000, half the attendance which saw Rangers dump City back in September.
City made just one change to their starting line-up, with fit again Mark Nicolson returning to midfield in place of Paul McMullan.
The home side's injury list meant top scorer Lee McCulloch was pulled back into central defence, with Kevin Kyle leading the attack.
The big striker was unlucky to see a second minute effort chalked off for a debatable offside decision and, despite numerous chances, the Light Blues had to wait until two minutes before the break to celebrate Dean Shiels opener.
City battled hard throughout, but further goals from Lyle and Kal Naismith after the interval earned the Glasgow side a safe passage into the fifth round.
Rangers – Alexander, Argyriou, Hegarty, MacLeod, Wallace, McCulloch, Little (Templeton 73), Black (Cole 59), Kyle Naismith 83), Shiels, McKay. Subs not used – Gallacher, Sandaza.
Elgin City – Gibson, Niven, Beveridge, Crighton, Duff, Cameron, Gunn (Millar 88), O'Donoghue (Harkins 73), Leslie, Nicolson (Wyness 77), Moore. Subs not used – Black, McMullan.
Ref – E Norris.
Att – 23,195.