2000 AMC 8 Problem 11
Attempt Problem 11 of the 2000 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 2000 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
11.
The number has the property that it is divisible by its unit digit. How many whole numbers between and have this property?
Answer: C
Small hint:
Group numbers by their units digit
Big hint:
Remember numbers ending in do not work
Solution:
Numbers ending in or all work in the lists and and and and This gives numbers.
The remaining working numbers are and Numbers ending in do not work because division by is undefined.
Thus there are such numbers.
Thus, C is the correct answer.
Problem 11 in other years
- 1985 AMC 8
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