Step 1: Understanding the Ion.
The ion Mn\(^5+\) refers to a manganese ion with a +5 charge. The electronic configuration for Mn is [Ar] 3d\(^5\) 4s\(^2\), and when it loses 5 electrons to become Mn\(^5+\), it results in an electronic configuration that corresponds to \( n = 5 \).
Step 2: Conclusion.
The correct answer is (A) Mn\(^5+\) : \( n = 5 \).