There are tips on how to install Boost with Visual Studio,
there are tips on how to install Boost with Qt ,
so my questions is : is it possible to install and later work with Boost with the two
IDE's mentioned above ( I have them both on my 32 bit machine) simultaneously or it is a "XOR" option?

What compiler are you using with QT? If it's gcc then probably not because the binary libraries are different.