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A Puzzling Question Literally

Odysseus questions (crossword puzzle)?

What is one of Homer's names for the Greeks? (it should start with an 'A' because im doing a crossword puzzle.): Achaeans

Who is King Phaikia's daughter? (should start with 'N'): Nausikaa

A plate-like object that is thrown in contests (second letter should be "I"): Discus

What is the weapon of Odysseus? (third letter should be "O"): Sword

This math question from the game Alicemare...?

"There's this type of cat. They're very strange cats. After 10 days, they get pregnant, and in 80 more they have kittens. In 10 more days, they're pregnant again. At first, they have 2 kittens - one male, one female, equally divided. Next time they have 4, then 6. And the kittens, after 40 days, become adults capable of pregnancy. And I have one cat right here - she's white and fluffy. If I keep her for one year, how many will I have in the end?"

I've literally been sitting here writing down stuff but I suck at math ;-; help?

HE OR SHE WHO IS GOOD AT CHESS PUZZLES?

Push forward your E pawn and make a bishop

Edit: I mean F of course, but looks like you got it.

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