People value intelligence and will apply that label to themselves even if it may not be true. It's a hard thing to measure though IQ does it reasonably well. To those who have a high IQ: what is it like? Can you pick up any book, read it, and understand the gist with minimal repetition? Can you infer solid and accurate conclusions based on a small amount of evidence? Is any subject or discipline up for grabs or do you have to have a keen interest in a particular field in order to flourish? What is something you are able to do that you know is because of your intelligence -- the proverbial 1,000 pound deadlift of the brain, if you will.
There is no point to these questions other than curiosity.
I think this might be me. I work in a field that self selects for intelligent people(IT) and have had colleagues consistently insisting that I'm particularly intelligent even among our industry. I of course know that this is bullshit because I suffer from impostor syndrome and am aware of just how much I don't know and how many things out there will cause me to have a deer in the headlights reaction. More importantly I know a few of the people who are actually really smart and capable and I am very much aware of how they can and have run circles around me over the years. I might be smarter than the average bear, but I'm not the smartest guy in the room.
If it's any consolation, the folk running circles around you more likely than not see some even bigger fish as running circles around them.