The Middle East side battled valiantly but will be out with a game to spare if the Netherlands avoid defeat against Ecuador later on Friday (16:00 GMT kick-off).
But the African champions are up and running courtesy of Boulaye Dia breaking the deadlock four minutes before half-time, slamming home to punish Boualem Khoukhi's miscued clearance.
Looking to hit back in the second period, Qatar's hopes were...