The test is crap. Its impossible to have both Ti and Te because Ti and Te are not different functions(or actually functions at all), the function is T and I/E of the function just refers to whether you trust the subjective or objective factors more. And because those things are in opposition with each other, one function cant trust two opposing factors -> the other one gets repressed and is met with distrust, except maybe in schizophrenia, which is exactly about this sort of thing(subjective and objective world mixing together to create hallucinations, delusions etc which are seen in the objective world, but originate from the subjective).
But what makes this more complicated(and which fools those crappy tests) is that for example INTJ will be primarily oriented by the subjective factor, but the subjective factor is not coming from T, it comes from N and F. So an INTJ might be using N and F to come up with possibilities and evaluate worth of thinking that was oriented by objective factors when the thinking process took place, but is put together by subjective intuition.
This is the basics of typology and if someone doesent understand this, they dont understand type nearly at all, sorry. Sure they might know how certain types generally act or process stuff, but thats why i underlined the word understand.