Actually, if you read the whole thing, they didn't believe her "demonstrated aptitude" because of their "prevailing prejedices". She had to fight to get them to see her demonstrated aptitude. Many people would be tired of fighting and would have given up then (or earlier in the process). If the applicant was in the privileged position, they would not have had to fight.
it is illegal in the U.S. to give IQ tests to job applicants
That's because in the past, the IQ tests were not fair, objective and colour-blind, but were set up in such a way as to bias against poorer people (which will be mostly black in the USA). This is easy to do with IQ tests, just ask lots of questions that require good schooling and education (e.g. word questions).
Companies used to use IQ tests, and hence claim not be racist, and then be racist. The ban on IQ tests in job interviews stems from this US Supreme Court case http://en.wikipedia.org/wiki/Griggs_v._Duke_Power_Company and has hence probably improved equality.