From Longman Dictionary of Contemporary Englishdo you suppose (that) ... ?do you suppose (that) ... ?ASK A QUESTIONused to ask someone their opinion about something, although you know that it is unlikely that they have any more information about the situation than you do Do you suppose this is the exact spot?who/what/why etc do you suppose ... ? Who on earth do you suppose could have done this? How do you suppose he got here? → suppose