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.
If p is a positive integer, and p≠0, is 
an integer ？（）
(1) p is an even number
(2) p is a multiple of 3
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.
参考答案：A
解析：
One way to verify this is to plug in even numbers; the results soon show that the result is always half of p plus 1/2, which is never an integer. You could also simplify the equation to 
, and since an even number plus 1 is always an odd number, dividing the sum by 2 will never produce an integer. So statement (1) alone is sufficient. Statement (2) results in integers if p is an odd multiple of 3, but in non-integers if p is an even multiple of 3, so this statement alone is not sufficient.