Yes you can apply for the PO exam of the SBI as you have completed graduation.

The minimum Eligibility criteria for the PO exam is a candidate should be a graduate from a recognized university and he should be between 21-30 years of age.

You can also apply for UPSC,IBPS,SSC,State PSC. IGNOU is a recognized university and is run by the central government of India.

All the best.