1966 AMC 12 Problem 29
Attempt Problem 29 of the 1966 AMC 12 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 1966 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
29.
The number of positive integers less than divisible by neither nor is:
Answer: B
Small hint:
There are positive integers below
Big hint:
Subtract multiples of and , then add back multiples of
Solution:
By inclusion-exclusion, the count is
Therefore, the correct answer is B.
Problem 29 in other years
- 1950 AMC 12
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