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: $$r|a_0$$ ...

31 AugA Problem in Linear Algebra

In this article  we shall show that the characteristic polynomial of both $$AB$$ and $$BA$$ are the same, where $$A$$ and $$B$$ are $$n\times n$$ matrices over $$R$$, a ring with unity. Let $$\Phi_T\in R[\lambda]$$ denote the characteristic polynomial of $$T$$. Thus, we intend to show,...

29 JunAHSEC 2016 Question Papers

The Assam Higher Secondary Education Council(AHSEC) is responsible for conducting the 12th standard examinations for the students studying in the state board schools in Assam. Some of the AHSEC 2016 question papers are available for download below. Alternative English, Physics, Mathematics, Computer Science (Featured Image Source :...

10 AugSome Commonly Occuring Clock Problems

Clock Problems are often seen in several aptitude test papers. The underlying principles are basic modular arithmetic although the questions may seem to be confusing at times. Some of the questions below keep coming in many different exams. We provide a list of basic facts needed...

14 JulInterview Experience at CMI (MSc in Applications of Mathematics)

[caption id="attachment_7804" align="alignright" width="320"] Image Source : Shutterstock[/caption] This is my interview experience at CMI for MSc in Applications of Mathematics. The syllabus for MSc in Applications of Mathematics includes single variable calculus, linear algebra, theory of equations, combinatorics and some other topics from class 12th...

12 JulAHSEC 2015 Question Papers

The Assam Higher Secondary Education Council(AHSEC) is responsible for conducting the 12th standard examinations for the students studying in the state board schools in Assam. Some of the AHSEC 2015 question papers are available for download below. English, Alternative English, Physics, Chemistry, Mathematics, Biology (Featured Image Source...

14 JunAHSEC Mathematics 2015 Question Paper

The Assam Higher Secondary Education Council is responsible for conducting the 12th standard examinations for the students studying in the state board schools in Assam. The 2015 question paper in mathematics is available for download below. Click here for the question paper....

27 JanNBHM PhD Scholarship Exam 2014 Mathematics

The National Board for Higher Mathematics (NBHM) organizes a PhD Scholarships examination. The 2014 examination was held on 25th January 2014. The question paper of that exam can be downloaded here.   [ad#ad-2]...