If the chicken came first, then religion wins. God made the chicken and gave it the ability to lay eggs, whence other chicken would sprout forth.

The real winner however was KFC.

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7 Sales executives have 1 million dollars to divide amongst themselves. The most senior sales executive propses a particular split and then everyone votes (each person's vote is equal). If at least 50% of the people accept, then the money is divided the way that was suggested. Otherwise the sales executive who propsed it gets fired...and then we move on to the next senior sales exec and the whole process repeats. The executives are rational (want to keep their jobs first and also get as much money as possible), and they also would prefer fewer executives in the group if given a choice (all else equal).

How should the cash be split ?

]]>It is standard in Europe to quote fuel consumption for a liquid-hydrocarbon-powered vehicle in volume of fuel burnt per distance covered. A small car may achieve 5 litres per 100 kilometres, for example.

But if we convert both volume and distance to the same unit, millimetres, we get 5,000,000 cubic millilitres over 100,000,000 millimetres. This gives us an area of 0.05 square millimetres.

With me so far?

]]>(1) What is the fraction of the volume of *C* is contained in *S1*

(2) How many times the volume of *S2* is that of *S1* ]]>

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Is there a mathematician in our world who could find the mathematical equation in 2D and 3D for their own body?

For your information, 2D refers to surface equations, and 3D refers to volume equations.

This passage is just for laughter and to encourage participants to try finding the equation for their own body:

It's amusing that no mathematician has thought of writing their own body equation, who knows perhaps this equation hides a great mathematical secret.😀

Some legends about the city of Atlantis mention that the foundation of their highly advanced civilization, far more advanced than ours, lay in the discovery of these equations of the human body...😉

It's a buzz that can be noticed by many people, even those who aren't mathematicians. If a mathematician could find the equation of their body, it would create a significant buzz. They could gain notoriety and might even be paid by celebrities and wealthy individuals to write their body equations as well...🤑

]]>The points A and B are connected by two roads, APB and AQB.

The section AP takes 20 minutes regardless of traffic. The section PB takes time equal to T/10, where T is the number of cars on the road. For example, if there are 200 cars on it, it takes 200/10 = 20 minutes.

Similarly, AQ takes T/10 minutes and QB takes 20 minutes regardless of traffic.

The city planners came up with an ingenious way of connecting points P and Q with a road that does not take any time at all regardless of traffic:

How will it affect the average time of travel from A to B?

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Doing my best to translate it to English here, while cutting off irrelevant details.

Bob got an electronic clock in shape of an apple. It shows time with a precision of a hundredth of a second. As he was moving down on an escalator, Bob threw the clock up and noticed that at the top of its trajectory the clock showed 11:32:45:81. His teacher Mary was moving up on the escalator at the same time, and she noticed that the clock showed 11:32:45:74 at the top of its trajectory. Find the speed of the escalators, given that they move with the same speed, at the angle of 30^{0} to horizon. Ignore the air friction. Take g = 10 m/s^{2}.

You all want me, knowing I will hurt you, I'm oh so flattered you think me a virtue.

If you let me in, good and bad times I will bring, I've won more battles than any man or king.

Sometimes I'm dark, sometimes I shine, some think me a curse while others think me divine.

If you guess my name, then I'll raise a toast, you'll be with the one who invites me the most.

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I'm not looking for the solution.

I'm not looking for another proof for the solution.

I'm not even looking for a full game solution which might incidentally show how the 50:50 solution couldn't be correct..

The challenge is to directly figure out why the 50:50 answer is wrong but more importantly why it seems so axiomatically correct.

I've had the solution for some time, but wasn't sure how to present it. Since it's become a classic logic riddle, I realized this was probably the best forum. At least I hope so, Im still pretty new here.

I'll give it some time and provide a new hint every now and then, before giving the solution.

Hint:

If you find the 50:50 answer axiomatic, than you will flip over the solution.

Hint:

The answer about why we perceive the 50:50 solution as correct will tell us something about how the subconscious perceives reality.

Hint:

Don't think of this as a logic problem,its more like a human nature problem.

PS, I'm posting from an iPad and don't have an editor toolbox. I'd appreciate it if someone could post a hidden text box or spoiler alert box so I can clip the proper formatting elements. Thanks.

]]>What is the minimum amount of loads they will need to get to the next system?

Is there a limit to the distance between systems that they can cross?

]]>Can you measure 0.5 hour? 15 minutes? 20 minutes?

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BTW, I could not make ChatGPT answer this question correctly, with or without algebra.

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It consists of a pencil and a string that goes through a hole in the pencil and makes a loop. The ends of the string are glued together.

The loop is shorter than the long end of the pencil:

so, it can't be moved over it.

Then, I insert the pencil through the buttonhole like this:

This is how it looks from the other side:

I can separate them again and repeat without cutting, breaking, untying, etc.

Can you figure it out?

I can take more pictures, from different angles, if you need. There are no hidden cuts or anything like it. You can make it yourself.

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The only thing you can do with the planks is to put them on top of each other, like this:

Your goal is to make the tower with the largest possible "shadow", x. IOW, the largest horizontal distance between the leftmost and the rightmost edges of the planks.

The question is: what is the largest x so that the tower and its parts don't fall?

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