When we say X is necessary for Y, we mean that Y cannot occur without X. Here, the machine working (Y) cannot happen without electricity (X). In conditional form, that becomes: if the machine works, then electricity is present. This does not say that electricity alone is sufficient to make the machine work; it only says that working implies the presence of electricity.
Option A:
Option A correctly reverses the verbal statement into a conditional where the occurrence of machine functioning guarantees that electricity is available. It respects the asymmetry between necessity and sufficiency.
Option B:
Option B treats electricity as sufficient for the machine to work, which is stronger than what “necessary” states and may not be true if other conditions are required.
Option C:
Option C claims that a failure of the machine implies electricity is present, which is unrelated to the notion of electricity being required for proper functioning.
Option D:
Option D contradicts the original statement by saying the machine works even when the necessary condition, electricity, is absent.
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