I applied for a new M+ account (cash upfront basic setup) online on 17/6 and it was approved on 20/7 and ready to trade. Quite a bit of supporting information is required, however a dealing exec from the SJ branch will contact the applicant to assist.

Contact the branch closes to your location, you can find their CS phone details in the website.
The application process takes a long time.
I assume you submitted the application on-line.