Which minor key has 5 sharps?

The minor key that has five sharps is G# minor. In understanding this, it's important to consider the key signature of G# minor. The sharps in G# minor are F#, C#, G#, D#, and A#. This configuration directly corresponds to its position on the circle of fifths.

It is worth noting that while F# minor and C# minor also have their own sets of sharps, F# minor has three sharps (F#, C#, and G#), and C# minor has four sharps (F#, C#, G#, and D#). D# minor has also been set apart as it contains six sharps, which is more than the five traveling keys. G# minor stands out as the only minor key among the choices presented that meets the criteria of having exactly five sharps. Understanding the key signatures and their relationships to their respective minor keys is crucial for distinguishing them correctly.