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[求助]GWD9-Q32

以前的帖子没搜到,请大家帮忙,谢谢。

Q32:What is the remainder when the positive integer x is divided by 8?

(1)    When x is divided by 12, the remainder is 5.

(2)    When x is divided by 18, the remainder is 11.

                

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.

答案为E

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1) 12n+5

2) 18m+11


如果1)+2) 根据公式计算,得出 m=2k+1 (必须为奇数)。 则18m+11=36k+29. 36无法被8整除,所以余数为变化的。

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