Gandalf's Journey from Grey to White

Gandalf's Journey from Grey to White trivia questions

1. What is Gandalf's original name before becoming known as 'the Grey'?
2. In what location does Gandalf fall into darkness battling the Balrog?
3. Which realm does Gandalf visit to be sent back to Middle-earth as Gandalf the White?
4. What specific title does Saruman hold that Gandalf notably does not possess initially?
5. After his resurrection, why does Gandalf initially hide his return from the Fellowship?
6. Which of the Valar directly facilitates Gandalf's transformation to Gandalf the White?
7. What is the significance of Gandalf receiving Shadowfax as a gift from Théoden?
8. How does Tolkien distinguish Gandalf the White's magical authority from Gandalf the Grey in the books?
9. What was Gandalf's original mission scope before the events of the War of the Ring began?
10. Which specific realm's influence most directly caused Gandalf's original diminishment before his grey form?