Difference between revisions of "2012 AMC 12A Problems/Problem 25"
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Revision as of 07:13, 19 May 2012
Problem
Let 
where 
denotes the fractional part of 
. The number 
is the smallest positive integer such that the equation ![\[nf(xf(x))=x\]](http://latex.artofproblemsolving.com/9/b/0/9b0829c5e8bdf5deb5dd048f42edb1d47bbbf0b5.png)
has at least 
real solutions. What is ? Note: the fractional part of is a real number 
such that 
and 
is an integer.
$\textbf{(A)}\ 30\qquad\textbf{(B)}\ 31\qquad\textbf{(C)}\ 32\qquad\textbf{(D)}\ 62\qquad\textbf{(E)}\64$ (Error compiling LaTeX. Unknown error_msg)
Solution
| 2012 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 24 |
Followed by Last Problem |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
C: n = 32
