Average Salary

Three friends, A, B and C, want to find out what their average salary is without disclosing their own salaries to the others. How can they do it using only verbal communication?

A tells B some number, then B adds his salary to it and tells the result to C, then C adds his salary and tells the result to A. Now A subtracts the number he told B in the beginning, adds his own salary and divides by 3. Repeat the same procedure with B and C starting first.

Six Glasses

Six identical glasses are placed in a row on the table – first three filled with water, and then three empty ones. Can you move just one glass, so that empty and full glasses alternate?

Take the second full glass, pour all the water into the second empty glass, and then put it back in its place.

Slicing Butter

If you want to split a cubic piece of butter into 27 smaller cubes, you can easily do it using just 6 slices (imagine the Rubik’s Cube). However, after every slice you make you can also rearrange the pieces – stack them in different ways on top of each other so that the number of cuts possibly gets reduced. What is the minimum number of slices you need in order to accomplish the task?

In order to separate the little cube in the center of the butter piece from the rest, you need 6 slices – that’s the number of sides it has. Therefore, you can’t accomplish the task with less than 6 cuts.

Ancient Coins

Suppose I show you two ancient coins. The first one is dated 51 B.C., the second one is marked George I. Which one is counterfeit?

Both of them. People who lived 51 years before Christ didn’t know about Jesus yet. When King George I was ruling, he was the first king with this name, and so he was just called George.

Mountain Hike

A man decides to climb a mountain. He starts at sunrise from the bottom of the mountain and arrives at the top at sunset. He sleeps there and on the next day he goes back the same way, descending at higher speed. Prove that there is some point of his path, on which the man will be at the same time on both days.

Imagine a second man who starts climbing from the bottom of the mountain on the second day and following the first hiker’s first day movements. At some point the first and the second hiker will meet each other, and this will be the point you are looking for.

The Madman’s Speech

You are walking through the prairie when you find a madman wandering around talking to himself. The following is what you manage to hear of his speech:

“How? I – I’ll ask her. I owe her much, again. I’d a home on town, a tax as florid as out the coat, a virgin a year. Oh, yodel – aware you take all or I do. Never the road: I’ll land in the Anna-Marie land. Main can’s a sore gone; tennis is out t’car. Oh, line a canned turkey!”

What is the man really talking about?

Source: Puzzling StackExchange

The man is actually reciting the states in America, even though you can’t hear him well:

“How? – I” = Hawaii
“I’ll ask her.” = Alaska
“I owe her” = Iowa
“much again” = Michigan
“I’d a ho…” = Idaho
“…me on town, a” = Montana
“tax as” = Texas
“florid a…” = Florida
“…s out the coat, a” = South Dakota
“virgin a year.” = Virginia
“Oh yo…” = Ohio
“…del – aware” = Delaware
“You ta…” = Utah
“…ke all or i do” = Colorado
“Never the” = Nevada
“road: I’ll land” = Rhode Island
“in the Anna-…” = Indiana
“…Marie land” = Maryland
“Main” = Maine
“can’s a s…” = Kansas
“…ore gone;” = Oregon
“tennis i…” = Tennessee
“…s out t’car. Oh line a” = South Carolina
“canned Turkey” = Kentucky