There are lots of exceptionally intelligent people who would have zero idea what is wrong with a car other than noting that it will not go.
Another example, there are plenty of exceptionally intelligent people who could not cook much of anything and certainly not anything complex. Reasoning from first principles will not lead one to deduce how to prepare a complex dish - it will not even enable one to follow a recipe since much of a recipe assumes knowledge of the craft of cooking
But, I look forward to a contest in which folks who have claimed intelligence throw down their IQ test results, ACTs, SATs, SAT IIs, APs, IBs, GMATs, LSATs, MCATs and other fabulous tokens of intellect