Which of the following hydrocarbons react with sodium in liquid ammonia?
Although this is more of a case of communication rather than actual chemistry, I'll explain exactly what the author meant.

They basically want you to ignore the Birch reduction reaction. They want you to find the compound that reacts with sodium in liquid ammonia, but not via Birch reduction.

I however, do stand by that the question is very poorly framed. It is definitely ambiguous, and relies on strange, unrealistic assumptions.