## 17 DecFew Problems - 2

For which $$n\in \mathbb{N}$$, does $$n+1 | \binom{2n}{n}$$ hold? For a polynomial $$p(x) = a_nx^n+\ldots + a_0$$ with integral coefficients, i.e. $$a_i\in \mathbb{Z}$$ for all $$1\leq i\leq n$$ with $$a_n\neq 0$$, if $$p(\frac{r}{s})=0$$ where $$r$$, $$s$$ are coprime integers with $$s\neq 0$$ then show that: $$r|a_0$$ ...

## 30 AugFew Problems - 1

Given a straight line $$l$$ and points $$A$$ and $$B$$ on the same side of it find the shortest path from $$A$$ to $$B$$ which touches $$l$$. Given a function $$f:\mathbb{Q}\rightarrow\mathbb{Q}$$ such that $$f(x+y)=f(x)+f(y)$$ Show that $$f(x)=xf(1)$$ for all $$x\in\mathbb{Q}$$. Thus, infer that for such a...

## 20 AugShortlisted Problems of the 56th International Mathematical Olympiad

The International Mathematical Olympiad (IMO) is an yearly competition for pre-college students, held every year in a different country. The shortlisted problems of the previous year's IMO is released with the IMO problems of the current year. The 56th IMO was held in Thailand last...

## 20 Jul"Mathematics Lab"

Sounds strange, right? Well, "Mathematics Lab" is something we are not well-acquainted with. We all had "Physics lab", "Chemistry Lab", "Biology Lab" in our schools/colleges but not "Mathematics Lab". Last month, I and my friend Ajoy Dutta got an opportunity to design a "Mathematics Lab",...

## 12 JulInternational Mathematical Olympiad (IMO) 2016 Questions

The 57th International Mathematical Olympiad was recently held in Hong Kong. The IMO is a prestigous competition for school students and consists of six problems to be solved over two days. The questions of the IMO can be found below. [pdf-embedder url="http://gonitsora.com/wp-content/uploads/2016/07/2016_eng.pdf"] If the questions are not...

## 27 MayQuestion Paper : MATHLETICS 2016, Assam Academy of Mathematics

Category: Classes IX, X and X appeared Time: 3 Hours Marks: 10X10=100 [Answer in English or in your mother tongue. Two students of the team will discuss the solution of the problems and Write the answers in an answer book given to them. Earlier tradition of allowing coaches...

## 09 JanRegional Mathematics Olympiad 2015(Assam) Question Paper

Regional Mathematical Olympiad(RMO) is the first tier in the mathematical Olympiads of India. It was held at 20th December, 2015 all over India. Assam had a special question paper this year different from the national RMO paper. To write RMO in Assam one has to...

## 08 NovPolya's Theory of Counting

This is an article on an olympiad problem. Here we present various solutions of the problem. We show the beauty of this problem by presenting different proofs to the same problem. The Problem Statement: - $ABCD$ is a square. $E$ is a point inside the square such...