GMAT OG2019 数学DS新题第240题(附解析)

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240. The research funds of a certain company were divided among three departments, X, Y, and Z. Which one of the three departments received the greatest proportion of the research funds ?

(1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively.

(2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.

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.

题目大意

某公司的研究经费分给X、Y、Z三个部门,其中哪个部门的研究经费占比最大?

(1) X部门和Y部门的研究经费分别为3比5。

(2) X部门和Z部门的研究经费分别为2比1。

解题思路

(1) X和Y部门的研究经费为3:5,只能说明Y部门的经费比X部分多,条件不充分;

(2) X和Z部门的研究经费为2:1,只能说明X部门的经费比Z部分多,条件不充分;

(1)+(2),Y部门的经费比X部分多,X部门的经费比Z部分多,则Y部门的经费是最多的,条件充分。

正确答案: C

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