1985 AMC 8 Problem 15
Attempt Problem 15 of the 1985 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 1985 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
15.
How many whole numbers between and contain the digit
Answer: C
Small hint:
Every number from to already contains a
Big hint:
For – and – count those with a in the tens or units place, subtracting the ones counted twice
Solution:
All numbers from to contain a
Among to there are with a in the tens place and with a in the units place, but is counted twice, giving The range to similarly contributes
The total is
Thus, the correct answer is C .
Problem 15 in other years
- 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
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