Art of Problem Solving

1987 AIME Problems/Problem 12: Difference between revisions

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== Problem ==
== Problem ==
 
Let <math>\displaystyle m</math> be the smallest integer whose cube root is of the form <math>\displaystyle n+r</math>, where <math>\displaystyle n</math> is a positive integer and <math>\displaystyle r</math> is a positive real number less than <math>\displaystyle 1/1000</math>. Find <math>\displaystyle n</math>.
== Solution ==
== Solution ==
 
{{solution}}
== See also ==
== See also ==
* [[1987 AIME Problems]]
* [[1987 AIME Problems]]


{{AIME box|year=1987|num-b=11|num-a=13}}
{{AIME box|year=1987|num-b=11|num-a=13}}

Revision as of 23:55, 10 February 2007

Problem

Let $\displaystyle m$ be the smallest integer whose cube root is of the form $\displaystyle n+r$, where $\displaystyle n$ is a positive integer and $\displaystyle r$ is a positive real number less than $\displaystyle 1/1000$. Find $\displaystyle n$.

Solution

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See also

1987 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 11
Followed by
Problem 13
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions