1994 AMC 8 Problem 10
Attempt Problem 10 of the 1994 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 1994 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
For how many positive integer values of is the expression
an integer?
Answer: A
Small hint:
is an integer exactly when is a divisor of
Big hint:
Since only divisors of that are greater than count
Solution:
The expression is an integer when divides The divisors of are
Because we need leaving the divisors : that is values.
Thus, the correct answer is A .
Problem 10 in other years
- 1985 AMC 8
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