Are you a game object?

Introduction
In my first post I wrote about the probability of living inside a game. However, there is no way to make sure and there is almost no way to be sure who is player and who is a game object. More importantly, it is very possible that even players don't know that they are inside the game.

What can we do?
If we assume that all rules of the environment applies to both players and GOs, it will be very hard to differentiate between those 2, specially when the game is very good designed.
On the other hand, there has to be some differences between a players mind and the GOs. Considering the computer agents that we have right now, like Deep Blue and Watson both designed by IBM, we can say that the artificial mind is faster and better in solving problems and even playing games. So it would be very easy to create a population with processing ability more than the players and less than them. So it is not possible to differentiate between us. Also, considering the human society in our world, it is clear that the IQ graph is normal so we cannot use it.

The salvation
I wanted to gave up on this topic but suddenly I realized that the might be a solution. About 2 year ago, a friend of mine ask me and the others a simple real life math question. I answered immediately and laughed at him because of the stupid question. But he was very confused and tried to convince me that my answer is wrong. More importantly the others also came in the discussion concluding on 4 different answers.
I could answer it correctly when I was 5 years old!
So why did they fail? Was it because of their IQ?
No it wasn't!
Their range of IQ varied from normal to clever (100-130 out of 140) So that wasn't the problem.
After some time, I saw the question on Facebook and other social networks and most people gave the wrong answer to the question.
The Question
This is the story:
A woman goes to a shop, and buys a purse that costs 20$. She gives a 100$ to the shopkeeper but the cash desk is empty and the shopkeeper inevitably goes to the neighbor and changes the 100$ bill. Then he came back and give 80$ as remaining to the woman and put the 20$ in the cash desk. The lady leaves the shop with the purse and the remaining amount, then the neighbor comes shouting that the 100$ bill is fake and asks for his money back!
Now the question is, how much money the shopkeeper has lost?
Simple, right?!
Of course it is. It is 2 simple plus and minus that people learn as the first topics in math.
What was your answer?
People come up with different ideas. Many of them think for minutes and still fail to answer correctly. I've heard 200$,180$,20$,80$, etc.
But the correct answer is of course 100$
It is very simple to inspect.
1- There was only a 100$ fake bill
2- The shopkeeper changes the money with his neighbor every time so there is no need to bring anything into the equation
3- When the story finishes, the shopkeeper has a 100$ fake bill + 20$ cash and he lost a (20$)purse,  so the equation still says -100$.

Why that happened?
As far as I understand, there are only a few who can narrow the problem down to the key points and decide on what is a part of problem/answer and what is a diversion.
Now lets take a look at our society. From my understanding, more than 90% of people fail to process that simple question so there is a simple way to separate players from GOs.

Am I a player?
Hey! wait up! I don't know. Yes, it is more probable that someone who can ignore the diversions is the player, but we cannot be sure,
If players are playing for fun, then that has to be true! So that make me one of the players.
However, if this is a teaching game, which is less (but still) probable, it make me a Game Object that have been designed to help players learn how to think and how to improve.

Conclusion
Take the test and let me know if you are also a player :)