Can somebody tell me which typefaces uses this document?


I think the serif one it's Times but I'm not sure about it. No idea which font is the sans-serif used for the main titles.

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    That line does not set any special fonts, so it should just use the Computer Modern family ... unless, of course, that is part of a larger .tex file that you haven't shared with us. There are many ways to change which fonts a document uses; but it is rarely the \documentclass line that makes the decision. – jon May 7 '14 at 21:15
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    The font is Computer Modern Roman for the text and Computer Modern Sans for the headings. – egreg May 7 '14 at 21:16

It uses the standard Computer Modern fonts if you don't change the font somewhere else. If you want to find out which fonts are used in the final pdf you can look in the pdf properties which for example the Adobe Reader /Acrobat provide.

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