I agree with Rebecca, I think this is a scam. I've read about similar, but not matching, ones on other sites.
What the scams have in common is that they arrive in your mailbox unsolicited, they offer a job and they ask for financial information. Real job offers come in response to an application you submitted. Even if you have a resume on a career site, any company contacting you because of it would mention the site. They would most likely want to know more about you before actually offering a job. Any personal information they needed they would request after hiring.
The scams I saw where the type where the scammer would send you a fraudulent check and ask that you deposit it and send (real) money from your account to a third party. That scam leaves you open to losing money and, maybe, prosecution. This one is a little more direct. With information from your credit report the scammer would have everything he or she needed for identity theft.
A reminder for those interested, the official site for the yearly free credit reports is
https://www.annualcreditreport.com. Most of the others are offering a free trial of their services. You can usually get a free credit report but they require credit card information and will charge you if you don't cancel before the free trial ends.