2001 AMC 8 Problem 4
Attempt Problem 4 of the 2001 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 2001 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
The digits and are each used once to form the smallest possible even five-digit number. The digit in the tens place is
Answer: E
Small hint:
The number must end in or
Big hint:
Make the earlier digits as small as possible
Solution:
The units digit must be or . If it is , arranging the remaining digits as small as possible gives . If it is , the smallest arrangement is , which is smaller. Therefore the smallest even number is , whose tens digit is .
Thus, E is the correct answer.
Problem 4 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2002 AMC 8
- 2003 AMC 8
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