Unfortunately, I can't see any way around this issue - I can't even seem to replicate what you've gotten (I can't get a scroll bar to show at the bottom of the container object unless it's for pivot table expressions, and in that case it shows up in full).
If possible, I would recommend wrapping each line of the table and increasing cell height to 2 or 3 - this should allow you to fit significantly more content at the expense of making each row higher, rather than wider, and might allow you to get everything in without requiring a scroll bar.
Other alternatives might be to split the information into two tables, to use a dynamic table (user selects which columns to show - this is fairly easy to do in QlikView 11), or (if all else fails), train users to export the results to Excel and take it up from there.
Simply, Drag all your Objects to extreme left as far as possible, just to make sure all the Sheet Objects fit into a single screen. Its a best practice to keep the List Boxes at extreeme left and charts beneath it
In the image I can see your Chart and List Box has some space in between. Try to minimize the space as far as possible. Then only your scroll bar won't appear.