Is It Permissible to Ignore Questions from Some People?

Sh. Ibn al-ʿUthaymīn رَحِمَهُ اللهُ explains in his explanation of Bulūgh al-Marām (15: 126) that if someone asks questions out of obstinacy (تَعَنُّتًا), you are not required to answer him, no matter what question he asks. This is because Allāh states in Sūrah al-Māʾidah (5): 42:

{So, if they come to you; judge between them or turn away from them}

The Jews would ask the Prophet ﷺ questions out of obstinacy, so Allāh gave the Prophet ﷺ the choice between answering them or not.

The leading Imāms were like this as well, they would become angry at questions which were inappropriate. An example of this is Imām Mālik’s angry reaction to the man who asked him about Allāh’s ascension on the Throne.