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Problem 51

Number theory Difficulty 1.1 Multiple choice CEMC Pascal · Canada · 2025

How many multiples of $5$ are
between $8$ and $58$ ?

Pick one

Official solution

Since $5\times 1=5$ and $5\times2=10$ , the smallest multiple of
$5$ that is greater than $8$ is $10$ .

Since $5\times 11=55$ and $5\times12=60$ , the largest multiple of
$5$ that is less than $58$ is $55$ .

Between $8$ and $58$ , there are $11-2+1=10$ multiples of $5$ .

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.