2. 外语
  3. What is the sum of 3 consecutive integers? (1) The sum of the 3 integers is less than the greatest of the 3 integers。 (2) Of t

What is the sum of 3 consecutive integers? (1) The sum of the 3 integers is less than the greatest of the 3 integers。 (2) Of t

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问题 What is the sum of 3 consecutive integers?
(1) The sum of the 3 integers is less than the greatest of the 3 integers。
(2) Of the 3 integers，the ratio of the least to the greatest is 3．
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B
解析 Let k be the smallest of the three consecutive integers. It follows that k + 1 and k + 2 are the other two integers and S = k + (k + 1) + (k + 2) = 3k + 3, where 5 is the sum of the three consecutive integers. Determine S.
(1)     It is given that 3k + 3 < k + 2. It follows that k < -1/2. If k = -1, then S = 0. However, if  k = -2, then S = -3; NOT sufficient.
(2)     It is given that = 3. It follows that k =-3 and S can be determined; SUFFICIENT
The correct answer is B;
statement 2 alone is sufficient.
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