A municipal association is not the whole county.
The official county overview names ten municipal associations, including Hachenburg, Westerburg, Selters and Montabaur. Within a Verbandsgemeinde, several local municipalities share an administration. The county forms another level of local government.
Montabaur can refer to the town, the municipal association or the seat of the county administration. The test asks for the larger territorial unit: Westerwaldkreis. The state capital Mainz belongs to a different level.

The other three answers
All three distractors are county names outside Rhineland-Palatinate.
Altötting
Altötting is a county in Bavaria, specifically Upper Bavaria. It therefore does not match the required state.
Emsland
Emsland is in Niedersachsen. Its location in north-western Germany does not make it a county of Rhineland-Palatinate.
Prignitz
Prignitz is in north-western Brandenburg. Landkreis Prignitz and Westerwaldkreis are two distinct local territorial units.
The county name identifies an official territorial unit.
The Westerwald landscape and the administrative county Westerwaldkreis are different concepts. A landscape association alone is insufficient: the question explicitly asks for a county.
An electoral district is an area defined for a particular election. It need not share a county’s boundaries. County administration and electoral organisation should therefore be distinguished.
Municipal associations · Westerwaldkreis ↗Westerwaldkreis → Rhineland-Palatinate; administration → Montabaur.
Ten municipal associations belong to the county.
Three words for this question
- der Landkreiscounty
- A local territorial authority encompassing several municipalities.
- die Verbandsgemeindemunicipal association
- Several local municipalities with a shared administration.
- der Verwaltungssitzadministrative seat
- The place where an administration is based.
