There’s a door at either end of the building?
The correct answer is: A
Explanation
Either as used before the first of two given alternatives. When it is used as a determiner, it refers to both choices or possibilities
This means that there are two alternatives. At each end of the building, there is a door.
Either is used only when there are two persons or things. The statement can be interpreted as
''There are two ends in the building, and each of the ends has a door.
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