/usr/include/qt4/QtTest/ is in libqt4-dev 4:4.8.1-0ubuntu4.
This file is owned by root:root, with mode 0o755.
..
/usr/include/qt4/QtTest/QEventSizeOfChecker
/usr/include/qt4/QtTest/QSignalSpy
/usr/include/qt4/QtTest/QSpontaneKeyEvent
/usr/include/qt4/QtTest/QTest
/usr/include/qt4/QtTest/QTestAccessibility
/usr/include/qt4/QtTest/QTestAccessibilityEvent
/usr/include/qt4/QtTest/QTestBasicStreamer
/usr/include/qt4/QtTest/QTestCoreElement
/usr/include/qt4/QtTest/QTestCoreList
/usr/include/qt4/QtTest/QTestData
/usr/include/qt4/QtTest/QTestDelayEvent
/usr/include/qt4/QtTest/QTestElement
/usr/include/qt4/QtTest/QTestElementAttribute
/usr/include/qt4/QtTest/QTestEvent
/usr/include/qt4/QtTest/QTestEventList
/usr/include/qt4/QtTest/QTestEventLoop
/usr/include/qt4/QtTest/QTestFileLogger
/usr/include/qt4/QtTest/QTestKeyClicksEvent
/usr/include/qt4/QtTest/QTestKeyEvent
/usr/include/qt4/QtTest/QTestLightXmlStreamer
/usr/include/qt4/QtTest/QTestMouseEvent
/usr/include/qt4/QtTest/QTestXmlStreamer
/usr/include/qt4/QtTest/QTestXunitStreamer
/usr/include/qt4/QtTest/QtTest
/usr/include/qt4/QtTest/QtTestGui
/usr/include/qt4/QtTest/qbenchmark.h
/usr/include/qt4/QtTest/qbenchmarkmetric.h
/usr/include/qt4/QtTest/qsignalspy.h
/usr/include/qt4/QtTest/qtest.h
/usr/include/qt4/QtTest/qtest_global.h
/usr/include/qt4/QtTest/qtest_gui.h
/usr/include/qt4/QtTest/qtestaccessible.h
/usr/include/qt4/QtTest/qtestassert.h
/usr/include/qt4/QtTest/qtestbasicstreamer.h
/usr/include/qt4/QtTest/qtestcase.h
/usr/include/qt4/QtTest/qtestcoreelement.h
/usr/include/qt4/QtTest/qtestcorelist.h
/usr/include/qt4/QtTest/qtestdata.h
/usr/include/qt4/QtTest/qtestelement.h
/usr/include/qt4/QtTest/qtestelementattribute.h
/usr/include/qt4/QtTest/qtestevent.h
/usr/include/qt4/QtTest/qtesteventloop.h
/usr/include/qt4/QtTest/qtestfilelogger.h
/usr/include/qt4/QtTest/qtestkeyboard.h
/usr/include/qt4/QtTest/qtestlightxmlstreamer.h
/usr/include/qt4/QtTest/qtestmouse.h
/usr/include/qt4/QtTest/qtestspontaneevent.h
/usr/include/qt4/QtTest/qtestsystem.h
/usr/include/qt4/QtTest/qtesttouch.h
/usr/include/qt4/QtTest/qtestxmlstreamer.h
/usr/include/qt4/QtTest/qtestxunitstreamer.h