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> あなたの仕事なんですか？  
>  Anata no shigoto nan desu ka?

Is this correct grammatically?

I understand that "no" means possession, therefore "your job" is this correct
thinking?

Also, I heard someone say:

"Doko no iku ka?" But shouldn't it be "Doko ni iku ka?"

Thank you.
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grammar
あなたの仕事なんですか？Anata no shigoto nan desu ka? Is this correct grammatically?
You have two questions here.

* * *

**First question:**

> あなたの仕事なんですか？

I see one small hiccup with your grammar. As you have noted the `の` is the
possessive particle here, it is used correctly.

The hiccup I see is that you are missing the `は` particle in this sentence.
`は` marks the subject of the sentence (among many other uses). The subject of
this sentence is `あなたの仕事.` Therefore, I would correct your sentence to be:

> あなたの仕事｛しごと｝ **は** なんですか？  
>  anata no shigoto **wa** nan desu ka?

* * *

**Second Question:**

> Also, I heard someone say, "Doko no iku ka?" But shouldn't it be "Doko ni
> iku ka?"

A [dictionary search of other words spelled iku](https://jisho.org/search/iku)
made it clear that there is no _relevant_ noun spelled iku. It is always good
to check the dictionary for possible duplicate meanings in these cases.

The iku that you want is
**[行｛い｝く](https://jisho.org/word/%E8%A1%8C%E3%81%8F)** , or `to go` (among
other meanings).

> shouldn't it be "Doko ni iku ka?"

Yes, but I would like to make a point about the use of か here. Using か with
plain form verbs can come off as abrupt or patronizing if you are not careful.
As a beginner, I suggest that you stick to `...ますか` and `...ですか` until you
gain more experience. Say it like this:

> どこに行｛い｝きますか？  
>  doko ni ikimasu ka?
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answer