try this
<asp:CheckBoxList runat="server" ID="YrChkBox" CssClass="question-wrapper" RepeatLayout="UnorderedList">
<asp:ListItem Value="1">SkyDrive</asp:ListItem>
<asp:ListItem Value="2">Google Drive</asp:ListItem>
<asp:ListItem Value="3">Own FTP server</asp:ListItem>
<asp:ListItem Value="4">Database (fx MongoDB)</asp:ListItem>
<asp:ListItem Value="5">Local on pc/mac</asp:ListItem>
</asp:CheckBoxList>
List<String> YrStrList = new List<string>();
foreach (ListItem item in YrChkBox.Items)
{
if (item.Selected)
{
YrStrList.Add(item.Value);
}
else
{
}
}