Triska
And not so called geniuses who would get a chip implanted in their foreheads.
And are capable of asking questions.
Intelligence isn't everything. Remember Micky. He wasn't all that bright. In fact the Doctor kept calling him "Micky the Idiot." But he was still invited to go with him.
Well, its not the only basis.
neutral Loyalty, Bravery, and a good Moral Compass, ect are highly valued when travelling with the Doctor.
And the Doctor was only saying that because... well, he didn't really like Micky at first.
But as the season went on, there was a grudging sort of respect between the two. And 10 liked Rose's family more then 9 did.
And there is a... erm... theory going around that the only reason Micky was invited along then was to put space between Rose and the Doctor.