If \(d\) is the smallest positive integer such that the range of the remainders obtained when multiples of \(3\) are div

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\(P = \{6, 3, 0, d, 4, 14, 9, 2d\}\)

If \(d\) is the smallest positive integer such that the range of the remainders obtained when multiples of \(3\) are divided by \(d\) is \(3,\) by what percentage is the median of the numbers in \(P\) smaller than the mean of the numbers in \(P?\)

A. \(11.1\%\)
B. \(12.5\%\)
C. \(16.7\%\)
D. \(20.0\%\)
E. Cannot Be Determined

Answer: C

Source: e-GMAT
Source: — Problem Solving |