Here is an unusual problem involving weights and balance scales. It was invented by Paul Curry, who is well known in conjuring circles as an amateur magician. You have six weights. One pair is red, one pair white, one pair blue. In each pair one weight is a three times heavier than the other but […]
You might have played sudoku. It’s like a mathematical grid game where you fill numbers from 1 to 9 such that no number repeats in a row as well as in a column. Buy today’s puzzle is a bit different and has additional rules. Rules: Take Ace, King, Queen, Jack of all colours from a […]
Suppose you play a game which has equal probabilities of winning and loosing, example the game of tossing a coin. Every time before tossing the coin, set a particular amount as a bet. If it’s heads then you win and you get double the money. But if it’s tails, then you loose the bet amount. […]
Pentagons and the Golden ratio
Here is an amazing relation between a regular Pentagon and the golden ratio. But before going to the topic, it is necessary to understand the Ptolemy’s theorem and what the golden ratio is. Ptolemy’s theorem In a cyclic quadrilateral the sum of product of the opposite sides is equal to the product of the diagonals. […]
Expressing a number as a² + b²
This is a classical problem from Number theory. Have you wondered which natural numbers can be expressed as the sum of squares of two integers? It is easy to notice that all perfect squares are satisfying the above condition, but are they the only ones? The solution to this problem can be justified by the […]
