A csendes zónában dolgozunk anélkül, hogy zajonganánk.

A word-by-word breakdown looks like this:

• A = the
• csendes = quiet / silent
• zónában = in the zone
  • from zóna = zone
  • -ban/-ben = in
• dolgozunk = we work / are working
• anélkül = without
• hogy = that in form, but here it is part of the fixed structure anélkül, hogy...
• zajonganánk = we would make noise / we would be noisy

So the structure is basically:

In the quiet zone, we work without making noise.

Hungarian does not always match English word-for-word, especially in the anélkül, hogy... part.

A is the Hungarian definite article, meaning the.

Hungarian has two forms of the definite article:

• a before most consonants
• az before vowels

So:

• a csendes zóna = the quiet zone
• az iskola = the school

In your sentence, csendes starts with a consonant, so Hungarian uses a.

Because Hungarian marks location with a case ending instead of using a separate word like in.

• zóna = zone
• zónában = in the zone

The ending here is -ban/-ben, called the inessive case, and it means in.

Why -ban and not -ben? Because of vowel harmony:

• words with back vowels usually take -ban
• words with front vowels usually take -ben

Since zóna has back vowels, it becomes zónában.

Examples:

• házban = in the house
• kertben = in the garden

In Hungarian, the verb ending usually shows the subject, so a separate pronoun is often unnecessary.

• dolgozok = I work
• dolgozol = you work
• dolgozik = he/she works
• dolgozunk = we work
• dolgoztok = you all work
• dolgoznak = they work

So dolgozunk already includes we.

You could say mi dolgozunk, but that would usually add emphasis, like we are the ones working.

Anélkül, hogy is a very common Hungarian structure meaning:

• without doing something
• without someone doing something

It introduces a whole clause, not just a noun.

Compare:

• cukor nélkül = without sugar
  Here nélkül is followed by a noun.

• anélkül, hogy zajonganánk = without making noise
  Here you need a whole verb clause, so Hungarian uses anélkül, hogy...

You can think of it as a set phrase:

• anélkül, hogy... = without ...-ing / without someone doing...

Examples:

• Elment anélkül, hogy elköszönt volna. = He left without saying goodbye.
• Tanultam anélkül, hogy zenét hallgattam volna. = I studied without listening to music.

Yes, grammatically zajonganánk is a conditional form, literally something like we would make noise.

After anélkül, hogy, Hungarian normally uses the conditional mood. This is just the standard pattern.

So:

• anélkül, hogy zajonganánk

literally feels like:

• without it being the case that we would make noise

But in natural English, you simply translate it as:

• without making noise
• without us making noise

This is one of those places where Hungarian grammar and English grammar do not line up neatly.

The dictionary form is zajongani, which means:

• to make noise
• to be noisy
• to racket around

The sentence uses:

• zajonganánk

This breaks down roughly as:

• zajong- = verb stem
• -na- = conditional marker
• -nk = we

So zajonganánk = we would make noise / we would be noisy

No, that would not be standard Hungarian.

After anélkül, hogy, Hungarian normally uses the conditional:

• anélkül, hogy zajonganánk

not:

• anélkül, hogy zajongunk

So this is something you should learn as a pattern:

• anélkül, hogy + conditional verb

Examples:

• anélkül, hogy tudnám = without my knowing it
• anélkül, hogy látnád = without you seeing it
• anélkül, hogy sietnénk = without hurrying

Because anélkül, hogy... introduces a subordinate clause, and Hungarian normally separates that with a comma.

So:

• A csendes zónában dolgozunk, anélkül, hogy zajonganánk.

In your version, the comma may be omitted in some teaching materials or simplified examples, but in standard punctuation, the comma before the subordinate clause is expected.

In practice, you will very often see:

• anélkül, hogy...

written with a comma before hogy, and often also with a comma before the whole phrase when it follows the main clause.

Not completely. Hungarian word order is flexible, but different orders change emphasis.

Neutral version:

• A csendes zónában dolgozunk anélkül, hogy zajonganánk.

This gives the basic meaning naturally.

You could also say:

• Anélkül dolgozunk a csendes zónában, hogy zajonganánk.

But that sounds more marked and less straightforward for a learner.

In Hungarian, word order often reflects focus and emphasis rather than strict grammatical roles. The version you have is a natural, clear sentence.

Because in Hungarian, adjectives normally come before the noun, just as in English.

So:

• csendes zóna = quiet zone
• nagy ház = big house
• piros autó = red car

Then the case ending goes on the noun:

• csendes zónában = in the quiet zone

The adjective csendes does not change here; the noun carries the case ending.

It can be either, depending on context.

Hungarian does not usually make a strong grammatical distinction between:

• we work and
• we are working

So dolgozunk can mean both.

You decide from context:

• habitual: We work in the quiet zone
• right now: We are working in the quiet zone

In this sentence, either interpretation is possible unless the wider context makes one clearer.

Yes, there are other possible ways, though your sentence is perfectly good.

For example:

• A csendes zónában zajongás nélkül dolgozunk.

This means roughly:

• We work in the quiet zone without noise / without making noise.

Here zajongás nélkül uses a noun-like form:

• zajongás = making noise / noisiness
• nélkül = without

Your original sentence with anélkül, hogy zajonganánk sounds a bit more verbal and clause-based. Both are understandable and natural, but the structures are different.