All the T-shirts a clothing store stocks are plain, and they are all in one of exactly four colors: blue, green, red, and yellow

题目

All the T-shirts a clothing store stocks are plain, and they are all in one of exactly four colors: blue, green, red, and yellow. On any given day, the store sells about twice as many blue T-shirts as it does green T-shirts. Last week, did the store sell more blue T-shirts than red T-shirts?

（1）Last week, the store sold fewer blue T-shirts than red T-shirts and green T-shirts combined.

（2）Last week, the store sold more blue T-shirts than half the total number of red T-shirts and yellow T-shirts combined.

选项

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

解析

一家服装店所存的所有T恤都是纯色的，且只有四种颜色：蓝色、绿色、红色和黄色。在任意一天，该店卖出的蓝色T恤大约是绿色T恤的两倍。上周，该店卖出的蓝色T恤是否比红色T恤多？ - **条件（1）**：上周，该店卖出的蓝色T恤比红色T恤和绿色T恤的总和少。已知商店每天卖的蓝色T恤约是绿色T恤的两倍，设绿色T恤上周卖出\(x\)件，则蓝色T恤上周卖出约\(2x\)件，设红色T恤上周卖出\(y\)件。根据条件（1）可得\(2x\frac{y + z}{2}\)，但此条件无法得出蓝色T恤（\(2x\)）与红色T恤（\(y\)）的明确大小关系，所以条件（2）单独不充分。 ### 综合分析将两个条件结合起来，条件（1）得到\(x\frac{y + z}{2}\)，仍然无法确切判断蓝色T恤和红色T恤销量的大小关系，所以两个条件联合起来也不充分。综上，答案是\(E\)，即\(Statements (1) and (2) TOGETHER are NOT sufficient\)。

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