Intelligence of a machine

In a day and age, when no one reads anything except for memes and subtitles, the little bit of knowledge we bloggers offer is also snatched away by AI - non-human intelligence. 

But is it really intelligent? 

My intention was not to find out the smartness of a machine. I always talk to chatGPT for my various problems and some times the answers are too generic. Most of the times. 

After such a question answer session, I casually asked AI, can it solve mathematical puzzle. It was glad to have an intelligence audience for once I think. And it readily said yes. 

I asked hexagon puzzle from my blog post.  It solved it for me. By the way, the puzzle involved inscribed and circumscribed hexagons. 

Next I asked it to create a geometric puzzle for me. It kept on generating similar puzzles with polygons inscribed and circumscribed in a circle. Again and again. 

I asked it to change the subject and give me a number puzzle. After two tries, it gave me non-cliched puzzle which involved the ages of father, mother and two children. Had three equations and was kind of convoluted. I tried a little bit and then gave up. I do it easily. And looked at AI's solution. 

The solution was father's age 36, mother age = 6

I pointed the ridiculousness of the answer - mother at an age of 6. It agreed. 

So we humans are much better (at least in finding faults in others' solutions) and AI has a long - very long distance to go before it can beat our brains. 

What do you think?