We, the Mathematics Guild, are a group of enthusiastic and dedicated students who share a passion for competitive mathematics. With a keen interest in problem-solving and critical thinking, we represent IIT Madras in various competitions all year round.
Through our collective efforts, we aim to foster a deeper understanding of mathematical concepts, develop problem-solving skills, and cultivate a sense of camaraderie among our members.
What do we do?
Upskilling: Learn new concepts and ways of problem solving and teach one another.
Problem Solving: Attempt a Problem Set periodically, set in rotation by 2-3 members of the contingent.
Competitions: Train for and participate in competitions, both at the national and global level.
In how many ways can 2 knights be placed on an 8×8 chess board such that they attack each other?
Click below if you want to pack and look at the solution
The correct answer is 168.
The number of 3 × 2 rectangles on a chessboard:
7 * 6 * 2 = 84
In each rectangle, there are 2 attacking pairs. Therefore:
64 * 2 = 168
Too easy? Try this one now!
Pranjal and Pratyaksh are playing a game on a chess board. Pratyaksh starts 1st and places a knight. After that they alternatively take turns and move the knight to a square (according to chess rules) it has not been on before. If a player is unable to move the knight to a new square, he loses the game. If both Pranjal and Pratyaksh play optimally, who wins the game and what is his winning strategy?
