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Problem 190

Number theory Difficulty 1.5 Multiple choice CEMC Cayley · Canada · 2014

Storage space on a computer is measured in gigabytes (GB) and megabytes (MB), where $\text{1 GB = 1024 MB}$ . Julia has an empty $\text{300 GB}$ hard drive and puts $\text{300 ,000 MB}$ of data onto it. How much storage space on the hard drive remains empty?

Pick one

Official solution

Since 1 GB $=$ 1024 MB, then Julia’s 300 GB hard drive has $300\times 1024 = 307\,200$ MB of storage space.

When Julia puts 300 000 MB of data on the empty hard drive, the amount of empty space remaining is $307\,200 - 300\,000 = 7200$ MB.

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