If you buy the adapter it will. But no, not straight out of the box.
Any wireless router can work on the Xbox 360 yes. A wireless plug in adapter can work.
With the Xbox 360 S, there is a built-in wireless card. For the Xbox 360 (older versions), you need to buy a wireless adapter.
I am not going to say it is impossible for a different adapter to work, just unlikely . The Xbox 360 Wireless Network Adapter was made specifically for that purpose, so it is unlikely that a normal adapter will work if attached to the Xbox as they most likely will not be compatible.
No.The wireless adapter's security protocol checks to see if it's an Xbox 360 system as the driver is installed. If it's not a 360, it will not allow it to be installed on your PC.
no only the xbox ones work unfortunatley (since its easy to find cheaper adaters for computers) i tried the one i use for my computer and it didnt work so went and forked out for the xbox one. However, you can use the wireless adapter from the original Xbox with the Xbox 360, even though it's not officially supported.
Yes, you need to download a special driver or buy a wireless adapter but they will work.
as long as you have the right drivers
Depending on the size of the room and if there are any object in the way, an Xbox wireless adapter can range anywhere from 40-60 feet. The clearer the room is of objects and clutter, the better the adapter will work.
up to 100 yards
As far as your xbox has a wireless adapter and your router is configured properly you should not have any problems.
Yes it will, although you have to buy Microsoft's official wireless adapter. http://www.xbox.com/en-US/hardware/x/xbox360wirelessnetadapter/