A Math Conversation – I

A Math Conversation – I

Inspired by the book of Precalculus written in a dialogue format by L.V.Tarasov, I also wanted to express myself in a similar fashion when I found that the process of teaching and sharing knowledge in an easy way is nothing but the output of a lucid discussion between...
The 3n+1 Problem

The 3n+1 Problem

This problem is known as Collatz Conjecture. Consider the following operation on an arbitrary positive integer: If the number is even, divide it by two.If the number is odd, triple it and add one. The conjecture is that no matter what value of the starting number, the...
The Dhaba Problem

The Dhaba Problem

Suppose on a highway, there is a Dhaba. Name it by Dhaba A. You are also planning to set up a new Dhaba. Where will you set up your Dhaba? Model this as a Mathematical Problem. This is an interesting and creative part of the BusinessoMath-man in you. You have to...
The Organic Math of Origami

The Organic Math of Origami

Did you know that there exists a whole set of seven axioms of Origami Geometry just like that of the Euclidean Geometry? The Origami in building the solar panel maximizing the input of Solar Power and minimizing the Volume of the satellite Instead of being very...
Excursion in Geometry – INMO 2019 Problem 1

Excursion in Geometry – INMO 2019 Problem 1

Sequential hints for geometry problems are useful. It is much better than ‘reading solutions’. Use this interesting problem from Indian National Math Olympiad (INMO 2019) to refresh your geometry skills. Angle Chasing can be one of the most used tools in...