The king in the story "Three Questions" wanted to know the answers to three questions because he wanted to become a wise and just ruler. He believed that if he could find the answers to these questions, he would be able to make wise decisions and rule his kingdom justly.

1. What is the right time to begin a task?

The first question the king wanted to know was "What is the right time to begin a task?" The king believed that knowing the right time to begin a task was important because it would help him make the most of his time and resources.

2. Who are the right people to listen to?

The second question the king wanted to know was "Who are the right people to listen to?" The king believed that knowing who to listen to was important because it would help him make wise decisions and avoid being misled by people who did not have his best interests at heart.

3. What is the most important thing to do?

The third question the king wanted to know was "What is the most important thing to do?" The king believed that knowing the most important thing to do was important because it would help him prioritize his tasks and make sure that he was focusing on what was truly important.

Overall, the king wanted to know the answers to these questions so that he could become a wise and just ruler who would be able to make the best decisions for his kingdom and his people.