When \(12\) is divided by the positive integer \(k,\) the remainder is \(k - 3.\) Which of the following could be the va

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When \(12\) is divided by the positive integer \(k,\) the remainder is \(k - 3.\) Which of the following could be the value of \(k ?\)

A. 3
B. 4
C. 6
D. 9
E. 10

Answer: A

Source: Princeton Review
Source: — Problem Solving |

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If k=3, then 12/3 = 4; remainder 0
K - 3 = 3 - 3 = 0
Note that the remaining options do not give a result in which the remainder is K-3. Therefore, option A is the correct answer.