When I was pursuing my education degree I found Intelligence described as the ability to more and more closely associate ideas. I think that covers all of the definitions of intelligence. It covers social skills, survival skills, academic skills.
Without question an IQ test can indicate intelligence, but unless you're joining MENSA, it does not indicate much. For instance, if it takes you ten days to figure out a problem and it takes your friend ten minutes, are you less intelligent? You figured it out, right? Maybe it was a type of problem you'd never encountered before. Next time you see a similar problem, you will have experience to guide you. It will not take you as long to reach a solution.
Being quick witted may be nice, but alone it does not mean you're a superior human. Behavior is what matters. A misbehaving genius is a fool. An mentally under-performing but kind-hearted person is his superior.