Ang Pemba and the King's Riddle
Girls to the Rescue, Book 6
Ang Pemba disguised as a boy, entered the competition to become a royal sherpa. When, half-way through, her identity was revealed she refused to leave, claiming that she had succeeded and deserved the right to finish. Major Nima respected her determination and let her continue. In the end, with just two applicants left, she answered the King's riddle to win her place as the first girl sherpa, someday to climb Mount Everest.