From Fm's Million mile madness, dated march 4 :
Citibank
This was interesting. I had applied for both the American Airlines business card and the personal ThankYou Preferred card. I asked first about the AA card, which was quickly approved without fuss. For the personal card, though, I was told that they cannot approve two cards in one day. Huh? This is apparently a new Citibank rule as of a week or so ago. Anyway, she said to call back in a day or two. I called back on Sunday and was approved. They also confirmed the 6K bonus and 5X points on certain purchases. Sweet! Citi never mentioned other inquiries.