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Median Matters
If x and y are unknown positive integers, is the mean of the set {6, 7, 1, 5, x , y} greater than the median of the set?
(1) x + y = 7
(2) x – y = 3
(A) Statement (1) alone is sufficient, but statement (2) alone is not sufficient. (B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient. (C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. (D) Each statement ALONE is sufficient. (E) Statements (1) and (2) TOGETHER are NOT sufficient.
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