Suggestion for newbies
This combination worked well for me, so instead of trying Qt 5.1.0 in the beginning, start with this.
Qt 4.8.4 (mingw version) and MinGw (MinGW-gcc440-1.zip), Both are absolutely free.
Now I can follow all the project examples given by "C++ GUI Programming with Qt 4" by Jasmin and Mark as it is. It is running like buutersmooth on my machine. Ist edition of this book is available freely on net along with code download.
Happy times with Qt
Naveen C K