"Given a circle and its circumscribed square, both rotated around their common axis of symmetry, they form a cylinder containing a sphere. Prove that the sphere's volume is two-thirds of the cylinder's volume. Verify the relationship between the lateral surface area of the cylinder and the surface area of the sphere..."
The question wasn't all that difficult.
After reading it once, Iris already figured out what she needed to do and quickly started writing.
All was quiet inside the Lucky Oasis. Besides the occasional rustling of pages and the scratching of pen on paper, the rhythmic ticking of the clock was the only sound she could hear.
Iris liked it. It stood for precision, for rules, for something that would never disappoint.
An hour was sixty minutes, and sixty it would always remain.
That's why Iris also liked doing exam questions.
Every question had a definite answer. In other words, answering them always brought results.
If she got it right, the moment she saw the correct answer was a reward in itself.
If she got it wrong, the moment she learned something new was also a reward.
As long as one put in the effort, one could gain something in return. Could there be anything better or more equitable than that?
"Use vector methods to prove that if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram."
The next question was a bit harder.
Iris would take photos of books whenever she came across bookstores inside the Monoliths out of habit.
Of course, one may take nothing out from a Monolith—except for the Artifacts from the Wishing Box.
But the Trekkers' memories are not bound by such restrictions.
Naturally, these randomly collected questions differed wildly in difficulty.
Iris preferred complex questions to simple ones. To her, the process of racking her brain and finally emerging victorious gave her the kind of satisfaction that could not be put into words.
"An empty water tank takes eight hours to fill and ten hours to drain when full. If the tank is simultaneously being filled and drained, how many hours will it take to fill it?"
Of course, Iris didn't mind beginner-level questions like this one, either.
Noya found this one to be a head-scratcher:"Why would anyone fill and drain a tank at the same time? Isn't that just a waste of water?"
Iris didn't see it that way.
It made perfect sense if you think of water as New Star Guild's budget and the tank as their actual wallet size.
The only difference was that the guild's "tank" usually drained far faster.
The alarm clock rang, Iris put down her pen.
After finishing a worksheet pieced together from random photos, she felt calm again. She once more find the courage to face a world full of unanswered questions—or perhaps, questions with no correct answers at all.