The arithmetic mean (average) \(M\) of \(4\) terms is an integer. When \(M\) is divided by \(16,\) the remainder is

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The arithmetic mean (average) \(M\) of \(4\) terms is an integer. When \(M\) is divided by \(16,\) the remainder is \(10.\) If each of the terms is increased by \(100\%,\) what is the remainder when the new mean is divided by \(16?\)

A. 1
B. 4
C. 10
D. 12
E. 14

Answer: B

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