In the phrase "I have no X", X is almost always plural. Generally only uncountable nouns can use the singular form in this phrase ie, "I have no furniture".

We do say "I have no idea" but it means "I don't know anything about that". It's almost an idiomatic phrase.

It sound more natural to say "I really like this book" (although "I like this book very much" is technically correct).



I'd say "I've read the Chinese version several times". The passive voice can sound awkward, so it's generally better to use the active voice whenever possible.

Mostly we'd only use the passive voice if we really wanted to emphasise the object of the sentence by putting it first.

Ocassionally it's also used if we want to omit the subject of the sentence for some reason. ie,

"John helped me"

If I don't want people to know who helped me I could say something like "He helped me", but that still tells you that I was helped by a single, male person. If I use the passive voice and say "I was helped" then the sentence contains no information about who helped me at all.

Both "I asked her where did she get..." and "I asked her where she got..." are considered correct.

It's difficult to explain, but the first one's sort of stating what you actually asked. The second one's more like a statement of what you were trying to find out. I know that's a really poor explanation, but I can't think of a better way to explain it at this moment.