Very true. The question determines the objectives.
Very false. Researchers wish to attain certain objectives. However, they cannot begin to make any progress until they have unambiguously and clearly stated the question to be researched!
I agree with both John and Ian that the statement is true/false.
For you to be able to set realistic and achievable objectives, you should be able to ask yourself "WHAT?" your study seeks to find/achieve, which then gives rise to your research questions. In this case, the statement is very true.
On the contrary, in virtually all theses I've seen, the research objectives are explicitly stated before the research questions, which in this case makes the statement false.
What Hubert says is that intellectually the researcher asks the question first, but then the researcher presents the objectives first in the final reporting.
Alternatively, you can regard the objectives as encapsulating the general requirements of the research, but the statement of the research question pins down the refined, precise question to be (or being) investigated.
In a paper, I use only the main research objective, but convert the other sub-objectives into critical research questions which the study then tries to answer.
I find it funny to state the research objectives in one section and then the section that follows is just a conversion of those same objectives into questions. However, this is still the practice for most thesis in Ghanaian Universities.