题目

A teacher scored a student's test of 30 questions by subtracting 2 times the number of incorrect answers from the number of correct answers. If the student answered all of the questions, which of the following could be the score the student received?


I. 15

II. 18

III. 25

选项

A.

I only

B.

II only

C.

III only

D.

I and II

E.

I and III

解析

设答错的题目数为\( x \),那么答对的题目数就是\( 30 - x \)。 得分计算:\( \text{Score} = 30 - x - 2x = 30 - 3x = 3(10 - x) \) 因此,得分必须是3的倍数。 只有Ⅰ和Ⅱ是3的倍数。 答案:D
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