Another one I get every so often:
Them: On these calculations here, your math is wrong, the answer is all screwy.
Me: How do you know my math is wrong? (I do math for a living - you'd think I would get it correct once in a while)
Them: The answer is not technically possible.
Me: OK I'll re-check it. (getting back to them later) No - as was the case when we returned the job the first time - the math is correct, and that's the right answer - plus my secretary is sending another $1200 invoice to your cost center from engineering.
Them: (Indignantly) Well its wrong, and we're not paying engineering for incorrect answers.
Them: (two weeks later) OK you know that error you made in the calculations - well in the specs we submitted we had XYZ listed when it should have been ABC - I'm sure it won't make all that much difference.
Me: OK I'll re-do it. (getting back to them later) Here's the second correct answer - plus my secretary has a second $1200 invoice for your cost center from engineering.
Them: Youre screwing us!
Me: It's not my fault you submit jobs that you didn't want us to do, then have us re-do them cos you think we were wrong and only then realize you actually need to submit the job you wanted done in the first place. And you're amazed we are billing your CC for 3 jobs, why?