请教gwd－3－32

lingdang1988

Q32:

Seven different numbers are selected from the integers 1 to 100, and each number is divided by 7. What is the sum of the remainders?

(1) The range of the seven remainders is 6.

(2) The seven numbers selected are consecutive integers.

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.

答案是B，我选的是D

因为题目中提到了different numbers，那么range是6不就是说明他们是consecutive的number嘛？

efficiency

range是6不能说明他们是consecutive的number，因为range是6只能代表最大的余数是6，最小余数是0，但是中间的余数不清楚，可能都是1或者2或者3。。。。

即使different numbers,他们的余数也可能是相同的，比如8和22除以7的余数都是1。