AMC 8 1986 Problem 22

AMC8 1986 年第 22

逻辑推理(跨域)★★★★
Problem Alan, Beth, Carlos, and Diana were discussing their possible grades in mathematics class this grading period. Alan said, "If I get an A, then Beth will get an A." Beth said, "If I get an A, then Carlos will get an A." Carlos said, "If I get an A, then Diana will get an A." All of these statements were true, but only two of the students received an A. Which two received A's?
和 Diana 正在讨论本评分周期他们可能的数学成绩。Alan 说:"如果我得了 A,那么 Beth 会得 A。" Beth 说:"如果我得了 A,那么 Carlos 会得 A。" Carlos 说:"如果我得了 A,那么 Diana 会得 A。" 所有这些陈述都是真的,但只有两名学生得了 A。哪两人得了 A?
  1. A.Alan, Beth\text{Alan, Beth}
  2. B.Beth, Carlos\text{Beth, Carlos}
  3. C.Carlos, Diana\text{Carlos, Diana}

正确答案 · Correct Answer

C

解析 · Solution

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