Each diagram can show two correct transistor placements. I don't see what is weird about the emitter being drawn on top.
Emitter on top was not what I considered weird.
How about all the other permutations? e.g.
A (wrong) common emitter.
The output remains at approx 0.6V no matter what the input is (within the range of the supply rails as shown). Replacing this with an NPN transistor gives you a more correct common base, but with an invalid input voltage range. Again the output remains constant.
The question does not seem to require a "correct" circuit, but it does require that you can describe the output correctly.
HOWEVER... Partially cut off are a pair of transistors above and tot he right of the question. If there are only two, and they must be used in the orientations shown, then the use of the word "should" in the question now makes sense. In this case there is only one unique correct answer.
IF that is correct, then I agree that the answer given is correct. The only reservation I have is that the slope of the transition on one circuit should be steeper than that of the other, however it probably doesn't matter a great deal since the question does not ask that they be placed on the same axies and the input is only loosely defined.