Take from a pack of cards all the Aces, Kings, Queens and Jacks. Arrange them in a 4 × 4 square so that every row, column and diagonal contains one card of each value (A,J,Q,K) and one card of each suit (Heart, Spade, Diamond, Club ..read more

Hello everyone, I’ve created a little puzzle that follows the cryptographic principle of zero-knowledge proof. Let P = xx, the age of Peter To find xx, I will provide you with means to verify the statements of the puzzle, without giving you any direct informations about the ages of the characters. The ages of the characters are not given but can be found. Although there are an infinite number of answers that could verify the information I provide, there is one answer that can be verified to 99% assuming the puzzle is honest and verifiable, and that Peter has a realistic age and life.   &n ..read more

In the Garden of Eden, there is a circular pathway, where the Angel and the Devil enjoy an infinite stroll, walking side by side. There are lanterns placed along the pathway (a finite number of them). Each lantern can be in one of two states: on or off. The Angel, a servant of light, has control over the illuminated lanterns. Whenever they pass such a lantern, the Angel decides whether it remains on or off. Conversely, the Devil, a servant of darkness, has control over the lanterns that are dark, and can change their states as they pass. To alleviate their boredom, the Angel and the Devil dec ..read more

Every morning, I brew 3 cups of coffee in my French press.  I prepare a large mason jar with ice, sweetener, and cream which fills the container half-way.  I add enough coffee to fill to the top of the jar.  Throughout the morning I drink the jar down halfway just to top it up once again.  I am able to refill it twice fully.  For the third refill, I am only able to add 2 FL oz. of coffee. How big is my Mason Jar?   Bonus question: what % of coffee is in my last cups mixture after adding the 2 oz? For added clarity, when I top it up, I mean that I am only adding my ..read more

Suppose we have a quadrilateral with Angles A,B,C,D, corresponding sides a,b,c,d, and the following fact: CosA/a=CosB/b=CosC/c=CosD/d What can be claimed about this quadrilateral ..read more

Assume that n is a natural number, prove that n and n5 will always have the same one's digit.   e.g. 13 and 135=371,293 both end in 3 ..read more

Can you solve this puzzle ..read more

xx ..read more

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A rat is in one of 100 holes that are in a line.  Each night he moves to the left or right 0,1, or 2 holes randomly selected.  You pick one hole each day to look in until you find him.  What procedure do you use in order to minimize the expected number of days before you find him ..read more