If we would require our children to answer direct questions directly, we ought to be those who answer questions God asks us. The questions God asks in the Bible are not "gotcha" questions, but are designed to deal with matters of our heart, life and faith. "Good question!" we acknowledge when we hear it, but hearing the question does not mean we have bothered to answer it. As long as God's questions remain questions we do not carefully consider and honestly answer, we will not receive the personal illumination God intend to provide through them.
I did a cursory search of questions Jesus asked, and I found many of them His disciples never directly answered--in public, anyway. One might say there is no need to answer Jesus because He already knows the hearts of men, but then again people often refused to answer Jesus to avoid self-incrimination. It would be impossible for Christ's enemies to avoid detection if they honestly answered the question, "Why do you seek to kill me?" (John 7:19). Those who posed dishonest questions to Jesus were met with direct questions they could not avoid the implications of--much to the delight of onlookers. Though we see Jesus ask questions that go unanswered in the Bible, we can know those questions are also for the reader to consider, answer, and take Christ's teachings to heart.
One example from the book of Matthew was when the disciples were afraid of perishing in a storm on the Sea of Galilee. Matthew 8:26 reads, "But He
said to them, "Why are you fearful, O you of little
faith?" Then He arose and rebuked the winds and the sea, and there was a
great calm." Matthew 14:31 details the response of Jesus after Peter began to sink and cried out to Jesus to save him: "And
immediately Jesus stretched out His hand and caught him, and said to him,
"O you of little faith, why did you doubt?" Another example (which couldn't be answered immediately because it was in a sermon) is found in Matthew 6:30: "Now if God so clothes the grass of the field, which today is,
and tomorrow is thrown into the oven, will He not much more clothe
you, O you of little faith?" All of these questions are good for the child of God to consider: why are we afraid when Jesus is with us? Why do we doubt Jesus can save us? Why is our faith so small in God's provision of clothing for us when God has provided even for grass that is here today and gone tomorrow?
Fellow believer, as you read God's word I encourage you to personally answer the questions God asks. God's questions through Jesus, prophets and even random people in scripture may seem completely irrelevant to us, even as disciples who believed Jesus was the Son of God--were ironically asked directly by Jesus concerning their lack of faith in Him. It is in answering these questions honestly the Light of the World shines in our hearts, and the Holy Spirit reveals unbelief, doubt and fears to be repented of so we might walk in the light as Jesus is in the light. Questions Jesus asks are not to condemn or shame us but to draw us closer to Himself and increase our faith.