GMAT OG2019 数学DS新题第236题(附解析)

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236. A company bought 3 printers and 1 scanner. What was the price of the scanner ?

(1) The total price of the printers and the scanner was $1, 300.

(2) The price of each printer was 4 times the price of the scanner.

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:

一家公司买了3台打印机和1台扫描仪。扫描仪的价格是多少?

(1) 打印机和扫描仪的总价是1300美元。

(2) 每台打印机的价格是扫描仪价格的4倍。

解题思路

求扫描仪的价格,则要知道:① 打印机的价格或打印机和扫描仪价格的关系;② 总共花费多少钱。设扫描仪的价格为x

(1) 知道购买设备花费的总价,无法求出扫描仪的价格,条件不充分;

(1) 知道打印机和扫描仪价格的关系,无法求出扫描仪的价格,条件不充分;

(1)+(2),扫描仪价格为x,则打印机价格为4x,所以x + 4x = 1300,求出x = 325,值唯一,条件充分。

正确答案: C

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