2020 AIME II Problems/Problem 14
Contents
[hide]Problem
For real number let
be the greatest integer less than or equal to
, and define
to be the fractional part of
. For example,
and
. Define
, and let
be the number of real-valued solutions to the equation
for
. Find the remainder when
is divided by
.
Solution
Video Solution
https://youtu.be/bz5N-jI2e0U?t=515
See Also
2020 AIME II (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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