AMC8 2008

AMC8 2008 · Q2

AMC8 2008 · Q2. It mainly tests Patterns & sequences (misc).

The ten-letter code BEST OF LUCK represents the ten digits $0-9$, in order. What $4$-digit number is represented by the code word CLUE?

十个字母的密码 BEST OF LUCK 代表数字 $0-9$，按顺序对应。密码单词 CLUE 表示的四位数是？

(A) 8671 8671

(B) 8672 8672

(D) 9782 9782

(E) 9872 9872

Answer

Correct choice: (A)

正确答案：（A）

Solution

Answer (A): Because the key to the code starts with zero, all the letters represent numbers that are one less than their position. Using the key, C is $9-1=8$, and similarly L is 6, U is 7, and E is 1. \[ \begin{array}{cccccccccc} \text{BEST} & & \text{OF} & & \text{LUCK} \\ 0 1 2 3 & & 4 5 & & 6 7 8 9 \end{array} \] CLUE = 8671

答案（A）：因为密码的关键字从零开始，所以所有字母代表的数字比它们的位置少一。根据密钥，C 是 $9-1=8$，同理，L 是 6，U 是 7，E 是 1。 \[ \begin{array}{cccccccccc} \text{BEST} & & \text{OF} & & \text{LUCK} \\ 0 1 2 3 & & 4 5 & & 6 7 8 9 \end{array} \] CLUE = 8671

Topics

LM.002 Patterns & sequences (misc)