I did not find that exact expression on the Internet. In fact, the expression "question wisely" does not appear too often, either. Of what does appear, a couple of things appear to speak to the gist of the statement, as in...
"Oh tell me, Mentor! tell me, faithful guide
(The youth with prudent modesty replied),
How shall I meet, or how accost the sage,
Unskill'd in speech, nor yet mature of age?
Awful th'approach, and hard the task appears,
To question wisely men of riper years."
To whom the martial goddess thus rejoin'd:
"Search, for some thoughts, thy own suggesting mind;
And others, dictated by heavenly power,
Shall rise spontaneous in the needful hour.
For nought unprosperous shall thy ways attend,
Born with good omens, and with heaven thy friend."
~The Odyssey, Homer
People in teaching positions often find themselves in situations where they have to respond in this way. For example, parents answering a child's foolish question, a teacher answering a foolish student in the presence of other students, or even a minister at times, addressing an issue within a congregation as Paul did.
If the foolish question or statement isn't dealt with, then the child, students or brethren will believe that the teacher is in agreement
with it. Or, at least doesn't know the truth about it. The worst case scenario is that those observing such foolishness will think "silence gives consent". The foolish person may be seen as proving
the teacher wrong, and others hearing it may be misled, confused and lose respect for the teacher.
This is not to say that we have to necessarily be in authority over another person to answer a foolish question wisely. We all face these challenges at times.
~from Answering a Fool
-- Prov 26:4-5
By Bill Butler
Hope that helps.