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To get a better understanding, where did you get the 682 score? Was it from a lender and what kind of loan were you applying for?
Which credit report was the 682 based on? Which CR was the 742 from?
How far apart, time-wise, were the pulls between the 682 and 742?
If I was facing that, then I'd probably call him back and ask which CR they pulled. If they said EQ, then I would ask them which version of FICO score they are using. Most CUs pull EQ. There are also several versions of FICO scores out there, all classic. Most of the EQ FICO scores (well, a super-vast majority) are a Beacon 5.0 score, including from this website. If the lender says Beacon 5.0 or even EQ, then there's certainly a discrepency there. One way to check which report they pulled is to start pulling all 3. The inquiry for the loan app would be on one of your reports right now.
I suspect that your CU isn't using EQ. EX would be the next logical choice and your EX and EQ FICO scores could certianly vary depending on the info on the reports.
Post back if you find out anything. I'm curious.
According to the loan rep, they pulled Ex.'s Classic Score. When I asked him to explain what classic means, he stated that he wasn't certain. As you suggested, I pulled TU PICO as well. It's a bit lower than Ex.'s 742, TU reported 715. Also, as you suggested, I noticed that the inquiry was on TU report, not EQs.
The reports did vary in one area. Ex.'s stated my payment history is perfect over a 14 year period. TU states that I was 30 days late on one account in 2006, which I was not! I made an online payment, received a confirmation from the company that the payment was accepted and processed. On my next statement I was shocked to read that my payment was not received. I contacted the company immediately, provided the confirmation code, etc. Unfortunately, they wouldn't budge. I've submitted several rebuttals, which are always denied. Any suggestions?