Data Sufficiency

试题详情

题目:

If p and n are positive integers and p > n, what is the remainder when p2 – n2 is divided by 15 ?
(1) The remainder when p + n is divided by 5 is 1.
(2) The remainder when p – n is divided by 3 is 1.

选项:

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:

E

提问:

请问May老师, 条件1和条件2单独看,可以得出p+n不是5的倍数,p-n不是3的倍数。 但是合起来不知道怎么看? 能不能麻烦老师讲一下解题思路。
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