In the equation b=ka+3, k is a constant. If the possible solutions are in the form (a, b), is (2, 3)a solution to the equation?

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问题 In the equation b=ka+3, k is a constant. If the possible solutions are in the form (a, b), is (2, 3)a solution to the equation?
(1)(1, 4) is a solution of the equation b=ka+2.
(2)(3, 5) is a solution of the equation b=ka+1.

选项 A、Statement (1) ALONE is sufficient, but statement (23) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (22) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (23) 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(23)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

答案D

解析 题目中其实是要确定k的值。Statement (1):(1,4)是方程b=ka+2的解,那么能够求得k,k有固定的值,那么(2,3)是否是b=ka+3的解,只有一种回答,要么是Yes,要么是No,但是不管是哪种回答,都能够回答问题。其实这也体现了Data Sufficiency题目不是让你去解题,而是看是否有充分的信息来回答问题。单独(1)能够回答问题。Statement (2):(3,5)是方程b=ka+1的解,那么也能够求得k有唯一的值,同理也能够回答问题,所以D为正确答案。
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