2. 外语
  3. Is x an integer? (1) x2 is an integer. (2) x/2 is not an integer.

Is x an integer? (1) x2 is an integer. (2) x/2 is not an integer.

admin2022-10-18  60
问题 Is x an integer?
(1) x2 is an integer.
(2) x/2 is not an integer.
选项 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.
答案E
解析 Determine if x is an integer.
(1)    It is given that x2 is an integer. If, for example, x2 = 49, then x is an integer. However, if x2 = 5, then x is not an integer; NOT sufficient.
(2)    It is given that x/2 is not an integer. If, for example, x = 7, then x/2 is not an integer, but
x is an integer. However, if x = , then x/2 is not an integer and neither is x; NOT sufficient.
Taken together, (1) and (2) are not sufficient because the same examples used to show that (1) is not sufficient also show that (2) is not sufficient.
The correct answer is E;
both statements together are still not sufficient.
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