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题库 / Prep2007E2-DS-66
If q is a positive integer less than 17 and r is the remainder when 17 is divided by q, what is the value of r ?
(1) q > 10
(2) q = 2k, where k is a positive integer.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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没想到17除以2，4，8，16都余1……
（2）、q=2,4,8,16
17 % q = 1
满足（2）的有：2，4，8，16，余数均为1. 故选B
对于每个k的取值，q有唯一解，导致r也仅有唯一解。