题目信息
X, 81, 73, 71, 98, 73, 64
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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正确答案：
A:Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Arithmetic Statistics
Since the average of the seven numbers is 80, it follows that the sum of the seven numbers is 7(80) = 560. Therefore, X + 81 + 73 + 71 + 98 + 73 + 64 = 560, which can be solved for a unique value of X; SUFFICIENT. The range of the numbers when X is not included is 98 − 64 = 34. Therefore, if X = 98 + 2 = 100, then the range of the seven numbers is 100 − 64 = 36, and if X = 64 − 2 = 62, then the range of the seven numbers is 98 − 62 = 36. Therefore, more than one value of X satisfies the given information and statement 2; NOT sufficient.
The correct answer is A;statement 1 alone is sufficient.
Since the average of the seven numbers is 80, it follows that the sum of the seven numbers is 7(80) = 560. Therefore, X + 81 + 73 + 71 + 98 + 73 + 64 = 560, which can be solved for a unique value of X; SUFFICIENT. The range of the numbers when X is not included is 98 − 64 = 34. Therefore, if X = 98 + 2 = 100, then the range of the seven numbers is 100 − 64 = 36, and if X = 64 − 2 = 62, then the range of the seven numbers is 98 − 62 = 36. Therefore, more than one value of X satisfies the given information and statement 2; NOT sufficient.
The correct answer is A;statement 1 alone is sufficient.
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