A collection of 36 cards consists of 4 sets of 9 cards each. The 9 cards in each set are numbered 1 through 9. If one card has been removed from the collection, what is the number on that card?

(1) The units digit of the sum of the numbers on the remaining 35 cards is 6.

(2) The sum of the numbers on the remaining 35 cards is 176.


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.

加入错题本 分享
纠错
考题讲解

题目分析：

一套卡中的数字和为45，所以4套卡数字总和为180。

（1）    条件1给出，拿出一张卡后，剩余卡数字总和的个位数字为6，由于拿出一张卡，只能为1位数字，所以，拿出的卡只能为4才能满足条件1，题目得解。

（2）    拿出一张卡后剩下的卡数字总和为176，所以拿出的卡数字为4。

因此，本题答案为（D），任何一个条件说明均能解题。

 

展开显示

登录 或 注册 后可以参加讨论

OG2017Q-DS
考点
知识点