I use Google Apps for business and I'm evaluating Office 365 to decide if i should switch or not.
I'm having problems trying to configure the e-mails accounts, although I can send e-mails I can't receive them on Outlook Web Apps nor configure it to work on Outlook 2013.
To start using google Apps for Business I needed edit the DNS so I think this may be the problem, this are the DNS adds I've made:
ASPMX.L.GOOGLE.COM
ALT1.ASPMX.L.GOOGLE.COM
ALT2.ASPMX.L.GOOGLE.COM
ASPMX2.GOOGLEMAIL.COM
ASPMX3.GOOGLEMAIL.COM