I heard that 10 (quant.) and 15 (verbal) were the minimums. Someone else told me that my academic aptitude, quant., and verbal score must equal 150.
You won't be selected with the minimums. Your best bet is to go to airforceots.com and ask your question there. They should have the results of the last several selection boards and you will be able to get a good idea of what's required.
The way things are now, you will need to score in the high 60s and above. You need to talk to an officer recruiter. The ones you spoke with are probably for enlisted.
As was explained to you on AirForceOTS.com, the 150 matrix qualification is for recruiter credit. Anything 150 or over usually encourages the recruiter to take the applicant a little more seriously, as they have better scores and therefore a higher perceived chance of getting selected.
I saw people in the 09OT04 board get picked up with Academic, Verbal, and Quantitative scores in the 30's and 40's, but as someone on the other board pointed out, they were AD and probably had an exemplary application package otherwise. You shouldn't be discouraged from applying, but please try to realize that the stronger the scores, the stronger the package. Straight scores of 97+ on the AFOQT won't get you accepted automatically, either (as seen again on 09OT04, and even 10OT01 boards). It's all about your overall value as an applicant, but the AFOQT is an important part of that.
When did you take it? Would you have time to retake it before submitting for 10OT04?
Yeah, if I were you, I'd take some practice tests, you can pick up at a book store or order online. I was fortunate enough to come str8 off Active Duty and take the test in ROTC, without missing any time. The more you can remember from a practice test, the easier it will be to take the real thing, including the pilot/nav section, if you medically profile to fly. Actually, I didn't think the AFOQT was any different, than taking an SAT. It's more to do with retention and logical thinking. If you did well on your ACT/SAT, you shouldn't have any trouble with the OQT.