ANSWERS:
1/ => c. There are loads of hints in GoF - see how jealous Ron is when Hermione goes to the Yule Ball with Krum.
2/ => b. Romulus and Remus are characters from Roman mythology. They were brothers, raised by a wolf, and later they founded Rome. The only problem is that Romulus killed Remus...
3/ => a. This is not really my own theory, but it's worth thinking about. Fleur said that she would like to work in England to improve her English. I'm also sure that we'll meet Mademoiselle Delacour again, but I'd say she doesn't teach. Maybe she's helping Madam Pomfrey or so. Her looks could cure a lot of boys (or cause them to pretend to be ill just to get to the hospital wing... however!).
4/ => d. I can't remember where I heard that, but this rumor is very common. The question is: Who will be the lady? Professor Trelawney

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5/ => b. That's a fact, JKR already stated it. She also said that in book 6, something HUGE about Lily will be revealed. No idea what this will be.
6/ => a. Percy read a book about how to seize power in CoS. I don't quite agree with this rumor, but I think the one who thought of it has a point there yet... sometimes, Percy is simply TOO keen on the rules. Of course it would be a real tragedy... but I wouldn't put it past JKR.
7/ => c. JKR already said that it won't be Hermione, and most of the fans think it will be Neville. He was good at Herbology, so why not? Also, this would mean that Neville isn't the one who is going to die...
8/ => a. Remus Lupin, Mundungus Fletcher, and Arabella Figg are the "old fighters" Sirius is told to fetch in the end of GoF. My theory on her is already posted in the "predictions" thread.
9/ => b. It makes sense, but I don't really agree on that.
10/ => b. Yup. And they are all quite plausible. Dumbledore being related to James Potter (and therefore to Harry, too) would explain e.g. why he offered to be the Potter's secret keeper (would he do this for any ex-student?!), and why he is the only person (apart from Harry) whom Voldemort could never defeat. Lily Potter, as often mentioned, had red hair - a fact automatically connected to the Weasley's. Maybe that's the huge thing which is going to be revealed about her. And as to Aunt Petunia - I don't want to repeat everything here, it's all been said in the "predictions" thread, too.
I hope you enjoyed this little quiz

... and don't hesitate to tell me what you think of it (but please be honest)! I love feedback