If \(n\) is a three-digit prime number and \(j\) is an integer, which of the following is NOT a possible value of \(k,\)

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If \(n\) is a three-digit prime number and \(j\) is an integer, which of the following is NOT a possible value of \(k,\) where \(k\) is the smallest positive integer such that \(n - 5j = k?\)

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Answer: E

Source: Manhattan GMAT
Source: — Problem Solving |