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  3. What is the remainder when a two-digit integer x is divided by 3?(1)The sum of

What is the remainder when a two-digit integer x is divided by 3?(1)The sum of

游客2024-01-13  17
问题 What is the remainder when a two-digit integer x is divided by 3?
(1)The sum of the tens digit and the units digit is 5.
(2)The remainder is 5 when x is divided by 9.
选项 A、Statement (1) ALONE is sufficient, but statement (35) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (34) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (35) 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(35)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
答案 D
解析 本题考查被3除的特征。一个数被3除余数为多少，只要看这个数的各位数字之和被3除余数为多少。如果余数为0，那么就是整除。对于Statement (1)，各位数字之和为5，那么这个数被3除必然余数为2。对于Statement (2)，x被9除余数为5，x可以表示成9k+5，其中k为整数，那么x被3除余数也是2。所以本题答案为D。
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