The following data sufficiency problems co

问题单项选择题

The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether.

Is integer x divisible by 48 ？（）
(1) x is divisible by 16.
(2) x is divisible by 12.

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

参考答案：C

解析：

alone is insufficient because the set of numbers divisible by 16 contains some numbers divisible by 48(e. g., 48, 96), but also some numbers not divisible by 48, such as 16, 32, and so on. (2) alone is insufficient for the same reason. If the two statements are combined, the set of numbers divisible by both 16 and 12 are all divisible by 48; plug in numbers to verify that this is true. It works because 48 is the lowest common multiple of these two numbers.