The correct answer is D. quashing.
To quash means to annul or make void. In the context of the question, the petitioner is asking the court to cancel the appointment orders issued by the management. This could be because the petitioner believes that the appointments were made illegally or unfairly.
The other options are incorrect because they do not accurately describe what the petitioner is asking for. Option A, granting, means to give something to someone. Option B, removing, means to take something away from someone. Option C, posting, means to assign someone to a job or position. Option E, dismissing, means to reject or throw out something.
I hope this helps!