Although it sounds like a question from a cheesy dating program, this is actually an invitation for you to showcase your skills and qualities.
Think of this kind of question as an opportunity to talk about any aspect of your personality that you think the employer would be impressed with.
Simply think of your strengths and the characteristics required in the job or industry. Then think of a fruit which could embody these qualities. Your explanation is more important than the fruit you nominate as it brings your response back to what you have to offer the company.
Some possible responses:
Employers also want to see that you have a sense of humour. Have fun with this and be prepared to show your personality – perhaps you could be a ‘blackberry’ or ‘apple’ because you love technology!