Which of the following numbers is NOT the sum of three consecutive odd integers?

游客2025-02-23 17

问题 Which of the following numbers is NOT the sum of three consecutive odd integers?

选项 A、15
B、75
C、123
D、297
E、313

答案 E

解析三个连续奇数的平均数必然是中间那个数，因此三个连续奇数的和必然能够被3整除，利用一个数能够被3整除的特性，只有E：313的各位数之和不能够被3整除，所以选择E。

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WhichofthefollowingnumbersisNOTthesumofthreeconsecutiveoddintegers?