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外语
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
admin
2022-10-18
54
问题
If b is an integer, is
an integer?
(1) a
2
+ b
2
is an integer.
(2) a
2
-3b
2
= 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 a
2
+ b
2
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 a
2
- 3b
2
= 0, from which it follows that a
2
= 3b
2
.Then,
, which is an integer; SUFFICIENT.
The correct answer is B;
statement 2 alone is sufficient.
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本试题收录于:
GMAT QUANTITATIVE题库GMAT分类
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GMAT QUANTITATIVE
GMAT
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