Step 1: Recall the known order.
The syllabus order for the oxidising power of perhalates is perbromate first, then periodate, then perchlorate.
Step 2: Explain with periodic trends.
The +7 state of bromine is destabilised by the 3d electrons that shield the nucleus poorly. That makes perbromate a very strong oxidant.
Step 3: Pick the option.
The order $\text{BrO}_4^- > \text{IO}_4^- > \text{ClO}_4^-$ is option (D).