you can try to download the latest version of adobe reader:
Adobe - Adobe Reader Download - All versions
you might want to try uninstalling your current version first.
you can try an alternative to adobe, such as foxit reader:
Foxit Software
You should also see what is your default pdf viewer. Control Panel > Folder Options > File Types and see what is associated with .pdf
You might also try downloading the file, then open it natively with your pdf viewer. Instead of clicking on the link, right click it and save as onto your computer.
Let us know what works...