题目信息
Is x an integer?
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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已选答案：
正确答案：
E:Statements (1) and (2) TOGETHER are NOT sufficient.
Algebra Properties of integers
Determine if x is an integer.
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. It is given that
is not an integer. If, for example, x = 7, then 
is not an integer, but x is an integer. However, if x = 
, then 
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.
Determine if x is an integer.
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. It is given that
is not an integer. If, for example, x = 7, then is not an integer, but x is an integer. However, if x = , then 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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