Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
If
0
<
x
<
1000
0 < x < 1000
0
<
x
<
1000
and
[
x
2
]
+
[
x
3
]
+
[
x
5
]
=
31
30
x
\left[ \frac{x}{2} \right] + \left[ \frac{x}{3} \right] + \left[ \frac{x}{5} \right] = \frac{31}{30}x
[
2
x
]
+
[
3
x
]
+
[
5
x
]
=
30
31
x
, where
[
x
]
[x]
[
x
]
is the greatest integer less than or equal to
x
x
x
, the number of possible values of
x
x
x
is a. 32 b. 33 c. 34 d. None of these
Browse the problem library