There are many different specialisms in engineering but all share the same qualities of being able to adapt and think "out of the box" rather than following a set process.
I believe that is the way to judge a person's intelligence. It's got nothing to do with education, which may help with knowledge of solutions.
I have an example from yesterday.
We were given a large, range style cooker. I transported it home in my small Halfords metal trailer. It took me, my wife and our daughter to get it into the trailer. Next day my wife had a back pain so could not help with getting it off the trailer and under the carport, so the job was down to me.
I had some thinks. I found four rubber tyred castors in the garage and fixed them to a square of thick plywood to make a sturdy dolly. The trailer has a tipping function but I've never used it. I had to free off the stuck handwheel for the locking piece. I hitched the trailer to the car so it would not start moving. I put a couple of webbing straps on the cooker, tipped the trailer bed and used the webbing to slow the slide of the cooker. The cooker slid nicely out onto a pile of rags. After moving the trailer away I turned the cooker onto its side on a couple of old tyres. My home made dolley was then strapped onto the bottom of the cooker with webbing straps, (aren't they a wonderful invention?). Turned the cooker upright and simply rolled it down the slope into the carport. No Greybeards were hurt during the making of this process. My wife was suitably underwhelmed at my ingenuity.
I don't claim to be a genius but I do have an engineers mind. Do you have any examples to share?