2008 AMC 8 Problem 2

Attempt Problem 2 of the 2008 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2008 AMC 8 solutions, or check the answer key.

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

$\ 8671$

$\ 8672$

$\ 9781$

$\ 9782$

$\ 9872$

Answer: A

Concepts:place value

Difficulty rating: 450

Solution:

The code BEST OF LUCK represents the digits $0$ through $9$ in order, so $C=8$ , $L=6$ , $U=7$ , and $E=1$ .

Therefore, $\text{CLUE}=8671$ .

Thus, A is the correct answer.

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