In OSPF, the Designated Router (DR) and Backup Designated Router (BDR) are elected based on the priority of the routers 1 .  The router with the highest priority becomes the DR, and the router with the second highest priority becomes the BDR 1 .  If there is a tie in priority, then the router with the highest Router ID is chosen 1 .

In this scenario, R2 has a higher priority (64) than R1 (32), so R2 will become the DR 1 .  Since R1 has the second highest priority, it will become the BDR 1 . Therefore, option D is correct.