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gwd-3-32

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.

Who can help explain why the right answer should be B? Thanks a lot!

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这题我本来选D,后来考虑如果这7个数字可以重复取得话,则根据条件1 无法得出唯一答案。

条件2 就可以了,妹妹自己用穷举法试2次,记得多用穷举法哦。

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这道题目A为什么不成立?Seven different numbers ,说明是不可以重复取,

但是可以重复取7的倍数,比如7,14或者15,22;这样,余数的和就不固定了,所以A错。

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