DANIEL 2:12
 

For this cause the king was angry and very furious and commanded that all the wise men of Babylon be destroyed. [Daniel 2:12 AMPC]
 

This response made the king so furious with anger that he gave orders to destroy all the wise men of Babylon. [Daniel 2:12 BSB]

If you thought that "Questioning" a king is how to arouse the king's wrath, come and see where "Answering" a king provoked the king's wrath, which proceeded as Messengers of death or destruction from him.
 

[Proverbs 16:14] — "The wrath of a king is as messengers of death: but a wise man will pacify it."
 

If a wise man will pacify the king's wrath, why would those Wise men have provoked the king's wrath of Nebuchadnezzar, which issued messengers of death against all the wise men of Babylon?
 

[Proverbs 15:1-2] — "A soft answer turns away wrath: but grievous words stir up anger. The tongue of the wise uses knowledge aright: but the mouth of fools pours out foolishness."
 

But for Nebuchadnezzar as king, whether the answer was soft or hard was not the matter that manipulated his wrath in the Book of Daniel, seeing everytime Daniel witnessed Nebuchadnezzar's anger there was usually an answer or response, not a question, that provoked him into anger that commanded the destruction of those who gave him such answer. E.g. see the answer Daniel's friends gave him, and how their answer arouse his anger that decreed their destruction. As is written,
 

[Daniel 3:16-20] — "Shadrach, Meshach, and Abednego, answered and said to the king, O Nebuchadnezzar, we are not careful to answer you in this matter. If it be so, our God whom we serve is able to deliver us from the burning fiery furnace, and he will deliver us out of your hand, O king. But if not, be it known to you, O king, that we will not serve your gods, nor worship the golden image which you have set up. Then was Nebuchadnezzar full of fury, and the form of his visage was changed against Shadrach, Meshach, and Abednego: therefore he spoke, and commanded that they should heat the furnace one seven times more than it was wont to be heated. And he commanded the most mighty men that were in his army to bind Shadrach, Meshach, and Abednego, and to cast them into the burning fiery furnace."
 

From these experiences, we understand there are some  "Answers" that are more dangerous than some "Questions,'" especially when those Answers signify disobedience or rebellion just as these answers that provoked Nebuchadnezzar were seen by him as defying his demand. There are also "No Answer" or "Speechlessness" that got some people angry in the scriptures, such as Elihu's anger that arose against three elders that seniored him because those three elders could not answer Job [Job 32:3-5]. Again, when a King asked one of the wedding guests, "How did you come in here without wearing a wedding Garment?" The man's speechlessness caused the King to command he's being bound and cast into outer darkness (Matthew 22:12-15).
 

Whether you are answering or not answering a king, when your decision or choice is not bringing the results the king demanded, you may become target of the king's anger. This have nothing to do with whether you are wise or you are foolish, but whether your response or answer is pleasing the king. So even the wise men do fall into the king's anger. Hear 3 cases:
 

*1* Nebuchadnezzar, the king that was very angry against all the wise men in his kingdom, because their answers were not complying with his demand; and in his wrath commanded the destruction of all the wise men, including Daniel, Hananiah, Mishael and Azariah. — See the top Bible verse above for reference.
 

*2* Herod, the king that was very angry against the wise men, because they did not respond or return as he demanded; and in his wrath commanded the destruction of all the children below two years in Bethlehem, including the Lord Jesus Christ.
 

[Matthew 2:16 NKJV] — Then Herod, when he saw that he was deceived by the wise men, was exceedingly angry; and he sent forth and put to death all the male children who were in Bethlehem and in all its districts, from two years old and under, according to the time which he had determined from the wise men.
 

*3* The Lord is angry against the wisdom and understanding of the wise men of this world because in their wisdom they have not known God, and their wisdom or understanding are preventing them from having Faith in God because their intelligence makes faith seem as foolishness or brainlessness. Therefore God promised to destroy their wisdom and understanding. As it is written,
 

[I Corinthians 1:19‭-‬21 NKJV] — For it is written: “I will destroy the wisdom of the wise, And bring to nothing the understanding of the prudent.” Where is the wise? Where is the scribe? Where is the disputer of this age? Has not God made foolish the wisdom of this world? For since, in the wisdom of God, the world through wisdom did not know God, it pleased God through the foolishness of the message preached to save those who believe.