If \(x\) is an integer, and \(121 < x^2 \leq 361,\) which of the following is the sum of all possible values of \(x?\)

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If \(x\) is an integer, and \(121 < x^2 \leq 361,\) which of the following is the sum of all possible values of \(x?\)

(A) 135
(B) 124
(C) 116
(D) 105
(E) None of the above

Answer: E

Source: GMAT Club Tests