2. 外语
  3. If b is an integer, is an integer? (1) a2 + b2 is an integer. (2) a2-3b2 = 0

If b is an integer, is an integer? (1) a2 + b2 is an integer. (2) a2-3b2 = 0

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问题 If b is an integer, is an integer?
(1) a2 + b2 is an integer.
(2) a2-3b2 = 0
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B
解析 Given that b is an integer, determine if is an integer.
(1)     It is given that a2 + b2 is an integer. If a = 3 and b = 4, then = 5, which is an integer. However, if a=l and b = 2, then , which is not an integer; NOT sufficient.
(2)     It is given that a2 - 3b 2 = 0, from which it follows that a 2 = 3b2.Then, , which is an integer; SUFFICIENT.
The correct answer is B;
statement 2 alone is sufficient.
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