On the bio, the author’s name should be the same as it is on the title page and in the slug line; it’s confusing if they’re different. So if you’ve decided to use a pseudonym under the By… part of the title page (as opposed to the contact info, which should use the name to which you’d prefer to have your royalty checks made out), be consistent throughout your query or submission packet.

May I ask, though, why you’re using a pseudonym at all at the querying or submission stage? Are you an international man of mystery fleeing justice?

I’m not being entirely facetious — a writer using a pen name doesn’t actually have to commit to it until after a publisher has already acquired the book. Both the representation contract and the publication contract are under the author’s legal name (although the publication contract may well stipulate the use of a pseudonym), so unless you feel that (a) using your real name might harm the book’s chances with the agent of your dreams, (b) you already have something published in a different book category under your real name and want to avoid confusion, or (c) you don’t want to tip Interpol off to your whereabouts, you don’t really need to stress about the pseudonym issues until later on.

And how am I ever going to keep this series of articles straight when two of them are numbered “IV”?