题目信息
Town X has 50,000 residents, some of whom were born in Town X. What percent of the residents of Town X were born in Town X ?
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.
参考答案及共享解析
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已选答案：
正确答案：
C:BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Algebra Applied problems
We are given that 40 percent of the male residents were NOT born in Town X, or equivalently, that 60 percent of the male residents were born in Town X. However, no information is given about the number of female residents or about the percent of female residents born in Town X. By considering extreme cases, it is easy to see that the percent of residents born in Town X cannot be determined. For example, if only 10 of the 50,000 residents were male and 0 percent of the female residents were born in Town X, then only 6 residents (i.e., close to 0 percent of the residents) would have been born in Town X. However, if only 10 of the 50,000 residents were male and 100 percent of the female residents were born in Town X, then 49,996 residents (i.e., close to 100 percent of the residents) would have been born in Town X; NOT sufficient. We are given that 60 percent of the female residents were born in Town X. However, no information is given about the number of male residents or about the percent of male residents born in Town X. By considering extreme cases in the same manner that was done in (1), it is easy to see that the percent of residents born in Town X cannot be determined; NOT sufficient.
Given (1) and (2), it follows that 60 percent of the male residents and 60 percent of the female residents were born in Town X. Therefore, 60 percent of the residents were born in Town X.
The correct answer is C;both statements together are sufficient.
We are given that 40 percent of the male residents were NOT born in Town X, or equivalently, that 60 percent of the male residents were born in Town X. However, no information is given about the number of female residents or about the percent of female residents born in Town X. By considering extreme cases, it is easy to see that the percent of residents born in Town X cannot be determined. For example, if only 10 of the 50,000 residents were male and 0 percent of the female residents were born in Town X, then only 6 residents (i.e., close to 0 percent of the residents) would have been born in Town X. However, if only 10 of the 50,000 residents were male and 100 percent of the female residents were born in Town X, then 49,996 residents (i.e., close to 100 percent of the residents) would have been born in Town X; NOT sufficient. We are given that 60 percent of the female residents were born in Town X. However, no information is given about the number of male residents or about the percent of male residents born in Town X. By considering extreme cases in the same manner that was done in (1), it is easy to see that the percent of residents born in Town X cannot be determined; NOT sufficient.
Given (1) and (2), it follows that 60 percent of the male residents and 60 percent of the female residents were born in Town X. Therefore, 60 percent of the residents were born in Town X.
The correct answer is C;both statements together are sufficient.
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