Looks, competence, workexp, interview skills, height, rich background, any positive discrimination, nepotism etc etc. All should be negatively correlated with eachother this. Although there are limits to the strength of the effect right, it depends on how much of a slice is being excluded and if the two variables have an enormous correlation that might outweigh it?
You'd also expect the effect to be stronger the more selective the environment (for each pair of variables). So if your place hires very strongly on looks and competence they'll be very negatively correlated.
Also it depends on the hiring policy, we're assuming some sort of (A+B) > C evaluation over things that they care about, but if it's (A>A0, B>B0, C>C0), pass all of those and you're in then this effect should be totally absent in those variables.