MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2016 India PRMO
8
8
Part of
2016 India PRMO
Problems
(1)
2016 preRMO p8, [x/100 [x/100]]=5
Source:
8/9/2019
Find the number of integer solutions of
[
x
100
[
x
100
]
]
=
5
\left[\frac{x}{100} \left[\frac{x}{100}\right]\right]= 5
[
100
x
ā
[
100
x
ā
]
]
=
5
algebra
floor function