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A positive integer is divisible by 9 if and only if the sum of its digits is divisible by 9. If \(n\) is a positive integer, for which of the following values of \(k\) is \(25\cdot 10^n+k\cdot 10^{2n}\) divisible by 9?
(A) 9
(B) 16
(C) 23
(D) 35
(E) 47
[spoiler]OA=E[/spoiler]
Source: Official Guide
(A) 9
(B) 16
(C) 23
(D) 35
(E) 47
[spoiler]OA=E[/spoiler]
Source: Official Guide
