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  3. The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are

The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are

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问题 The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether
   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.
What is the number of male employees at the factory?
   (1) If the factory were to hire 150 more employees and 2/3 of them were female, the ratio of male to female employees would be 8:3.
   (2) The factory has at least twice as many male employees as female employees, and it employs at least 150 females.
选项
答案E
解析 alone is insufficient because if we do not know the total number of either male or female employees, the ratio cannot give us a definitive number for either male or female employees. (2) alone is insufficient because any number of females over 150 and any number of males over 300 could match the conditions. Combining the two statements limits the number of possibilities somewhat, but there are still many different numbers of male and female employees that could meet the stated conditions.
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