A pumpa most a táskámban van.

A quick breakdown:

• A pumpa = the pump
• most = now
• a táskámban = in my bag
• van = is

More literally, a táskámban is built like this:

• táska = bag
• -m = my
• -ban = in

So táskámban means in my bag.

The whole sentence is structurally:
The pump now is in my bag.
Natural English: The pump is in my bag now.

No. Hungarian a is usually the, not a.

So:

• a pumpa = the pump
• egy pumpa = a pump

This is a very common beginner confusion because Hungarian a looks like English a, but its function is different.

Hungarian has two forms of the definite article:

• a before a consonant sound
• az before a vowel sound

Since both pumpa and táskámban begin with consonant sounds, the article is a:

• a pumpa
• a táskámban

Compare:

• az autó = the car
• az iskola = the school

Because both noun phrases are definite:

• a pumpa = the pump
• a táskámban = in my bag

Hungarian often uses the definite article even before a possessed noun phrase. So a táskámban is normal Hungarian, even though English just says in my bag without the.

This can feel strange to English speakers, but it is standard:

• a könyvem = my book
• a házunkban = in our house

Hungarian normally builds possession and case with suffixes instead of separate words.

Here is the build-up:

• táska = bag
• táskám = my bag
• táskámban = in my bag

So Hungarian does not need a separate word for my here. The idea of my is carried by -m.

Also notice this sound change:

• final a often becomes á before certain suffixes
• so táska
  • -m becomes táskám, not táskam

Because of vowel harmony.

Hungarian suffixes often have different forms depending on the vowels in the word. For in, the two common forms are:

• -ban
• -ben

Words with back vowels usually take -ban.
táska has back vowels, so:

• táskában
• táskámban

Compare with a front-vowel word:

• szekrényben = in the cupboard
• zsebben = in a pocket

So táskámban uses -ban because that matches the vowel pattern of the word.

That is a very common question.

Hungarian often omits van in the third person singular present when the sentence says what something is like or what it is:

• A pumpa új. = The pump is new.
• A pumpa drága. = The pump is expensive.

But when the sentence says where something is, Hungarian normally keeps van:

• A pumpa a táskámban van. = The pump is in my bag.

So this is a location sentence, and that is why van is present.

Yes, it could be said differently. Hungarian word order is more flexible than English, and it often reflects topic and emphasis rather than a fixed pattern.

This version is fairly neutral:

• A pumpa = the topic, what we are talking about
• most = now
• a táskámban van = where it is

Other orders are possible, but they change the emphasis. For example:

• Most a pumpa a táskámban van.
  Emphasizes now more strongly.

• A táskámban van a pumpa.
  Emphasizes the location: It’s in my bag that the pump is.

So the given sentence is a natural, neutral way to say it, but Hungarian allows movement for focus.

Most means now, at the moment, or currently.

In this sentence it suggests the pump’s location at this time. It can also imply a contrast with another time:

• earlier it was somewhere else
• but now it is in my bag

So most is not just a time word here; it can also hint at a change in situation.

In standard everyday Hungarian, that would sound unnatural.

You normally say:

• A pumpa most a táskámban van.

The article before the possessed noun phrase is normally kept here. English does not use the in in my bag, but Hungarian usually does use the article in this kind of phrase.

So for a learner, the safe rule is:

• say a táskámban
• not just táskámban

Yes. A pumpa refers to a specific, identifiable pump — one that the speaker and listener can identify from the context.

If you wanted to say a pump in the indefinite sense, you would normally use egy:

• Egy pumpa most a táskámban van. = A pump is in my bag now.

So the original sentence is about the pump, not just any pump.