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Complete Residue of n

Trivia · proposed by @vipproaccout 1333
Which of the following is not a property of a complete residue system modulo $n$?
AIt has exactly $n$ elements. BIt contains exactly $2$ elements that are congruent to each other modulo $n$. CMultiplying every element of the system by an integer coprime to $n$ produces another complete residue system modulo $n$. DAdding a fixed integer to every element of the system produces another complete residue system modulo $n$.