Let's say a laboratory room has very strong magnetic field upwards i.e. towards the ceiling. An electron gun is fired along a line from one of the vertical walls to the opposite wall. Then, It will-
hit the wall on the left side of shooter
The answer can be found out using Fleming's left-hand rule. But in this case, the direction of movement of current is opposite to the direction of flow of current.
The electrons move towards the wall which is on left side to the shooter.