/usr/share/qt4/mkspecs/qpa/ is in qt4-qmake 4:4.8.1-0ubuntu4.
This file is owned by root:root, with mode 0o755.
..
/usr/share/qt4/mkspecs/qpa/common/
/usr/share/qt4/mkspecs/qpa/common/g++-base-macx-iphone.conf
/usr/share/qt4/mkspecs/qpa/common/g++-base-macx-iphonedevice.conf
/usr/share/qt4/mkspecs/qpa/macx-iphonedevice-g++/
/usr/share/qt4/mkspecs/qpa/macx-iphonedevice-g++-armv6/
/usr/share/qt4/mkspecs/qpa/macx-iphonedevice-g++-armv6/qmake.conf
/usr/share/qt4/mkspecs/qpa/macx-iphonedevice-g++-armv6/qplatformdefs.h
/usr/share/qt4/mkspecs/qpa/macx-iphonedevice-g++-armv7-nothumb/
/usr/share/qt4/mkspecs/qpa/macx-iphonedevice-g++-armv7-nothumb/qmake.conf
/usr/share/qt4/mkspecs/qpa/macx-iphonedevice-g++-armv7-nothumb/qplatformdefs.h
/usr/share/qt4/mkspecs/qpa/macx-iphonedevice-g++/qmake.conf
/usr/share/qt4/mkspecs/qpa/macx-iphonedevice-g++/qplatformdefs.h
/usr/share/qt4/mkspecs/qpa/macx-iphonesimulator-g++/
/usr/share/qt4/mkspecs/qpa/macx-iphonesimulator-g++/qmake.conf
/usr/share/qt4/mkspecs/qpa/macx-iphonesimulator-g++/qplatformdefs.h