AMC 8 2017 Problem 8
AMC8 2017 年第 8 题
整除与因数★★☆☆☆
Malcolm wants to visit Isabella after school today and knows the street where she lives but doesn't know her house number. She tells him, "My house number has two digits, and exactly three of the following four statements about it are true." (1) It is prime. (2) It is even (3) It is divisible by 7. (4) One of its digits is 9. This information allows Malcolm to determine Isabella's house number. What is its units digit?
今天放学后 Malcolm 准备访问 Isabella，他知道 Isabella 住的街道号，但不知道门牌号。 Isabella 告诉他："我的门牌号是个两位数，并且下面的 4 个关于我家门牌号的论断，恰好只有 3 个是对的。" （1）它是质数。 （2）它是偶数。 （3）它能被 7 整除。 （4）其中一个数字是 9。 这些信息可以让 Malcolm 确定 Isabella 的门牌号。那么门牌号的个位数字是多少？
- A.4
- B.6
- C.7
- D.8
- E.9
正确答案 · Correct Answer
D
解析 · Solution
解析整理中
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