GMAT OG2019 数学DS新题第301题(附解析)

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301. Is the sum of the prices of the 3 books that Shana bought less than $48 ?

(1) The price of the most expensive of the 3 books that Shana bought is less than $17.

(2) The price of the least expensive of the 3 books that Shana bought is exactly $3 less than the price of the second most expensive book.

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

Shana买的3本书的价格总和小于48美元吗?

(1) Shana买的三本书中最贵的一本书的价格不到17美元。

(2) Shana买的三本书中,最便宜的一本书的价格正好比第二贵的书便宜3美元。

解题思路

(1) 最贵的书价格小于17,则三本书价钱的总和肯定是小于17×3=51的,但是无法确定到底是否小于48,条件不充分;

(2) 最便宜比第二贵的书便宜3美元,但是任何一本书的价钱都不知道,所以无法确定三本书价钱的总和小于48,条件不充分;

(1) +(2),最贵的书<17,第二贵的书肯定<17,最便宜的书肯定<17-3=14。

三本书价格的总和肯定< 17 + 17 + 14 < 48。条件充分。

正确答案: C

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