TITLE: Example of a question that would seem not to have enough information for an answer
QUESTION [5 upvotes]: Looking for an example of a question that would seem  not to have sufficient information for an answer, or a question that the solution would not require (or maybe even maybe hindered ) by the extra provided (relevant) information. 
Is it possible to have questions were a solution would depend on lack of some certain information?
For example, a variant of Hat Puzzle, can be answered correctly by realizing the hesitation of other participants to conclusively answer and including it into the deduction. But that problem includes a temporal aspect into the riddle.

REPLY [2 votes]: A ring is created by drilling a hole straight through the center of a solid sphere. The ring is six inches tall after it has been drilled out. What is the volume of the ring?
That's all the info you need to solve the problem, even though you have no idea whether you took a sphere slightly bigger than 6" around and drilled a skinny hole through it, or started out with a much larger sphere and bored a much fatter hole through it. No matter what size sphere you started with, the volume after drilling is the same as the volume of a sphere with a diameter of six inches, i.e. 36*pi.