The writer who inspires you the most is also likely to influence your writing style. Although there is no right or wrong response to this question, be sure to give an answer that is well thought out. You don't want to choose a writer just because you think they are funny, for instance. Choose someone who has shaped you or your career and talk about how their writing has impacted you.
"I find the work of Virginia Woolf very inspiring. I first encountered her work in University, reading her well-known essay, 'A Room of One's Own' where she was inspiring a lot of new feminist thoughts in people. Her work has done a lot to encourage other female writers which I appreciate."
"My favorite author of all time is James Joyce. His work is so influential that there are pubs named after him. Who wouldn't want that! Being of Irish descent myself, I love to read his work and see where his Irish heritage influenced his work the most. My favorite piece by James Joyce is 'Ulysses,' first published in its entirety in 1922. There were many offensive thoughts and ideas in the novel, which is why only partial publications were allowed before that time. I appreciate authors of old who pushed the envelope because it gave hope to the rest of writers and journalists who had controversial or unpopular ideas to share."