2017 AIME II Problems/Problem 8
Problem
Find the number of positive integers less than such that is an integer.
Solution
The denominator contains . Therefore, . This yields the numbers, . There are a total of numbers in the sequence.
EDIT: 0 mod 30 and 24 mod 30 both work; therefore, the answer should be .
See Also
2017 AIME II (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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