Hello my dear Sherlocks, Einsteins, and other puzzle solvers. You’re probably all cooped up and sick of your family at this point, and need something to keep morale up.
Well, I got just the thing for you.
As always, the solution to the riddle is in the comments.
The mathematics of infinity can be startlingly beautiful. It can allso be just plain startling.
Consider the natural numbers – 1, 2, 3, 4, etc. They are infinite; any number you can conceive of can be increased. Now consider the even natural numbers – 2, 4, 6, 8, etc. These also obviously extend to infinity.
So if you compare the set of all natural numbers with the set of all even natural numbers, which is larger?
Hello everybody, I hope you have your thinking caps on! I’m back for another Solve it Sunday post, and this week is a tricky one.
As always, answer is in the comments, and you think you have the right answer, make a comment of your own.
During the 19th century, a European colonel in Ethiopia recorded a report of an encounter with local tribesmen, from whom he was purchasing cattle.
He wanted seven beasts, at a cost of 22 birr each. Not being numerate, the herder called a local priest to verify the total price.
When he arrived, the priest dug two parallel columns of holes. The right-hand column represented the purchase price, so in the first hole he placed 22 stones, and then halved the number of stones for each subsequent hole, rounding down. This gave him 22, 11, 5, 2 and 1 stone.
The left-hand column then represented the cattle, and in the first hole he placed seven small stones. He then doubled the number of stones for each subsequent hole in the column, so that the holes contained 7, 14, 28, and 112 stones.
Declaring even values to be evil, the priest then went down to the right-hand column and whenever he encountered an even number of stones – the 22 and 2 holes, in this instance – he removed the stones from that hole and its neighbor in the left-hand column – 14, 28, and 112 respectively – into one pile, which he counted out one by one.
They came to 154 birr, which was indeed 22×7.
Indeed, this technique of multiplication will always work for whole numbers, but why?
Are you scared of heights? This riddle is all about high-wire walking. No math involved, just some critical thinking or maybe some random knowledge involved.
An incredible amount of skill, dedication and fitness is required to master the art of high-wire walking. However, when you see such a masterful athlete proceeding to and fro over a dizzying drop armed with nothing more than a long, saggy bar, bear in mind that perhaps the feat is somewhat less insanely risky than it may appear.
Can you say why?
Good luck! I didn’t know the answer to this one, but maybe you can solve it.