2. 外语
  3. What is the units digit of positive integer x? (1)x divided by 9 has a remainder of 5. (2)x divided by 3 has a remainder of 2.

What is the units digit of positive integer x? (1)x divided by 9 has a remainder of 5. (2)x divided by 3 has a remainder of 2.

admin2022-11-19  39
问题 What is the units digit of positive integer x?
(1)x divided by 9 has a remainder of 5.
(2)x divided by 3 has a remainder of 2.
选项 A、Statement (1) ALONE is sufficient, but statement (20) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (19) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (20) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient to answer the question asked.
E、Statement (1) and(20)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
答案E
解析 Statement (1)中x=9n+5，随着n的不同，x的个位数也不同，所以单独(1)无法回答问题。Statement (2)中x=3m+2，随着m的不同，x的个位数也不同，单独(2)也无法回答问题。把(1)和(2)结合起来，x=9n+5，除以3余2，所以结合起来的性质仍然等同于(1)，无法回答问题，所以E为正确答案。
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